Properties

Label 46.4.c.b.27.3
Level $46$
Weight $4$
Character 46.27
Analytic conductor $2.714$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [46,4,Mod(3,46)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(46, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([16]))
 
N = Newforms(chi, 4, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("46.3");
 
S:= CuspForms(chi, 4);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 46 = 2 \cdot 23 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 46.c (of order \(11\), 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: \(2.71408786026\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(3\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 27.3
Character \(\chi\) \(=\) 46.27
Dual form 46.4.c.b.29.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.830830 - 1.81926i) q^{2} +(4.04264 - 1.18703i) q^{3} +(-2.61944 + 3.02300i) q^{4} +(17.3103 + 11.1246i) q^{5} +(-5.51826 - 6.36842i) q^{6} +(-4.23099 - 29.4272i) q^{7} +(7.67594 + 2.25386i) q^{8} +(-7.77992 + 4.99985i) q^{9} +O(q^{10})\) \(q+(-0.830830 - 1.81926i) q^{2} +(4.04264 - 1.18703i) q^{3} +(-2.61944 + 3.02300i) q^{4} +(17.3103 + 11.1246i) q^{5} +(-5.51826 - 6.36842i) q^{6} +(-4.23099 - 29.4272i) q^{7} +(7.67594 + 2.25386i) q^{8} +(-7.77992 + 4.99985i) q^{9} +(5.85675 - 40.7346i) q^{10} +(11.8761 - 26.0051i) q^{11} +(-7.00109 + 15.3302i) q^{12} +(-5.03521 + 35.0206i) q^{13} +(-50.0206 + 32.1463i) q^{14} +(83.1844 + 24.4251i) q^{15} +(-2.27704 - 15.8371i) q^{16} +(5.42123 + 6.25643i) q^{17} +(15.5598 + 9.99971i) q^{18} +(-41.3286 + 47.6957i) q^{19} +(-78.9729 + 23.1885i) q^{20} +(-52.0353 - 113.941i) q^{21} -57.1772 q^{22} +(-86.6957 + 68.1972i) q^{23} +33.7065 q^{24} +(123.961 + 271.436i) q^{25} +(67.8952 - 19.9358i) q^{26} +(-100.013 + 115.421i) q^{27} +(100.041 + 64.2926i) q^{28} +(-183.506 - 211.777i) q^{29} +(-24.6763 - 171.627i) q^{30} +(102.623 + 30.1329i) q^{31} +(-26.9201 + 17.3005i) q^{32} +(17.1422 - 119.227i) q^{33} +(6.87798 - 15.0607i) q^{34} +(254.127 - 556.461i) q^{35} +(5.26452 - 36.6155i) q^{36} +(73.1400 - 47.0042i) q^{37} +(121.108 + 35.5605i) q^{38} +(21.2149 + 147.553i) q^{39} +(107.799 + 124.407i) q^{40} +(-36.1117 - 23.2076i) q^{41} +(-164.057 + 189.332i) q^{42} +(-134.644 + 39.5350i) q^{43} +(47.5045 + 104.020i) q^{44} -190.294 q^{45} +(196.098 + 101.062i) q^{46} +33.4543 q^{47} +(-28.0044 - 61.3210i) q^{48} +(-518.954 + 152.379i) q^{49} +(390.824 - 451.034i) q^{50} +(29.3427 + 18.8574i) q^{51} +(-92.6779 - 106.956i) q^{52} +(64.8065 + 450.739i) q^{53} +(293.075 + 86.0547i) q^{54} +(494.876 - 318.037i) q^{55} +(33.8480 - 235.418i) q^{56} +(-110.461 + 241.875i) q^{57} +(-232.816 + 509.796i) q^{58} +(111.227 - 773.602i) q^{59} +(-291.734 + 187.486i) q^{60} +(-186.576 - 54.7836i) q^{61} +(-30.4428 - 211.734i) q^{62} +(180.049 + 207.787i) q^{63} +(53.8402 + 34.6010i) q^{64} +(-476.752 + 550.201i) q^{65} +(-231.147 + 67.8709i) q^{66} +(-18.9250 - 41.4400i) q^{67} -33.1138 q^{68} +(-269.528 + 378.607i) q^{69} -1223.49 q^{70} +(123.917 + 271.341i) q^{71} +(-70.9872 + 20.8437i) q^{72} +(556.959 - 642.765i) q^{73} +(-146.280 - 94.0085i) q^{74} +(823.330 + 950.174i) q^{75} +(-35.9262 - 249.872i) q^{76} +(-815.506 - 239.454i) q^{77} +(250.812 - 161.187i) q^{78} +(24.3529 - 169.378i) q^{79} +(136.766 - 299.476i) q^{80} +(-163.581 + 358.193i) q^{81} +(-12.2180 + 84.9784i) q^{82} +(416.427 - 267.621i) q^{83} +(480.748 + 141.160i) q^{84} +(24.2424 + 168.610i) q^{85} +(183.791 + 212.106i) q^{86} +(-993.232 - 638.312i) q^{87} +(149.772 - 172.847i) q^{88} +(1411.88 - 414.566i) q^{89} +(158.102 + 346.195i) q^{90} +1051.86 q^{91} +(20.9342 - 440.720i) q^{92} +450.638 q^{93} +(-27.7948 - 60.8622i) q^{94} +(-1246.00 + 365.860i) q^{95} +(-88.2922 + 101.895i) q^{96} +(183.811 + 118.128i) q^{97} +(708.379 + 817.513i) q^{98} +(37.6263 + 261.697i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30 q + 6 q^{2} + 2 q^{3} - 12 q^{4} - 4 q^{6} - 115 q^{7} + 24 q^{8} - 83 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 30 q + 6 q^{2} + 2 q^{3} - 12 q^{4} - 4 q^{6} - 115 q^{7} + 24 q^{8} - 83 q^{9} - 30 q^{11} + 52 q^{12} + 104 q^{13} - 56 q^{14} + 492 q^{15} - 48 q^{16} + 274 q^{17} + 166 q^{18} - 381 q^{19} - 176 q^{20} - 546 q^{21} + 60 q^{22} - 461 q^{23} - 16 q^{24} - 363 q^{25} - 318 q^{26} + 929 q^{27} + 112 q^{28} - 41 q^{29} + 776 q^{30} + 416 q^{31} + 96 q^{32} - 960 q^{33} - 416 q^{34} + 1671 q^{35} - 420 q^{36} + 1338 q^{37} - 118 q^{38} - 1642 q^{39} - 263 q^{41} - 8 q^{42} - 561 q^{43} - 120 q^{44} - 48 q^{45} - 1322 q^{46} - 1508 q^{47} + 208 q^{48} - 304 q^{49} + 1298 q^{50} - 1313 q^{51} - 24 q^{52} + 337 q^{53} + 1222 q^{54} + 4597 q^{55} + 920 q^{56} + 3446 q^{57} + 500 q^{58} + 1507 q^{59} + 516 q^{60} - 1291 q^{61} - 590 q^{62} + 1108 q^{63} - 192 q^{64} - 2522 q^{65} - 1204 q^{66} - 5093 q^{67} - 576 q^{68} - 5786 q^{69} - 2000 q^{70} + 850 q^{71} - 1800 q^{72} + 2452 q^{73} - 2676 q^{74} + 1267 q^{75} - 512 q^{76} - 6123 q^{77} + 2272 q^{78} + 536 q^{79} + 704 q^{80} + 3083 q^{81} - 1542 q^{82} + 7180 q^{83} + 2612 q^{84} + 1126 q^{85} + 6182 q^{86} - 7541 q^{87} + 856 q^{88} + 3457 q^{89} - 300 q^{90} + 4134 q^{91} + 92 q^{92} + 4930 q^{93} + 1542 q^{94} - 9721 q^{95} - 64 q^{96} + 4159 q^{97} + 2192 q^{98} + 7587 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/46\mathbb{Z}\right)^\times\).

\(n\) \(5\)
\(\chi(n)\) \(e\left(\frac{2}{11}\right)\)

Coefficient data

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



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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.830830 1.81926i −0.293743 0.643207i
\(3\) 4.04264 1.18703i 0.778007 0.228443i 0.131464 0.991321i \(-0.458032\pi\)
0.646543 + 0.762878i \(0.276214\pi\)
\(4\) −2.61944 + 3.02300i −0.327430 + 0.377875i
\(5\) 17.3103 + 11.1246i 1.54828 + 0.995017i 0.985746 + 0.168239i \(0.0538082\pi\)
0.562530 + 0.826777i \(0.309828\pi\)
\(6\) −5.51826 6.36842i −0.375470 0.433316i
\(7\) −4.23099 29.4272i −0.228452 1.58892i −0.704632 0.709572i \(-0.748888\pi\)
0.476180 0.879348i \(-0.342021\pi\)
\(8\) 7.67594 + 2.25386i 0.339232 + 0.0996075i
\(9\) −7.77992 + 4.99985i −0.288145 + 0.185180i
\(10\) 5.85675 40.7346i 0.185207 1.28814i
\(11\) 11.8761 26.0051i 0.325526 0.712803i −0.674141 0.738603i \(-0.735486\pi\)
0.999667 + 0.0257997i \(0.00821323\pi\)
\(12\) −7.00109 + 15.3302i −0.168420 + 0.368788i
\(13\) −5.03521 + 35.0206i −0.107424 + 0.747152i 0.862905 + 0.505366i \(0.168642\pi\)
−0.970329 + 0.241786i \(0.922267\pi\)
\(14\) −50.0206 + 32.1463i −0.954898 + 0.613676i
\(15\) 83.1844 + 24.4251i 1.43187 + 0.420436i
\(16\) −2.27704 15.8371i −0.0355787 0.247455i
\(17\) 5.42123 + 6.25643i 0.0773436 + 0.0892593i 0.793102 0.609088i \(-0.208464\pi\)
−0.715759 + 0.698348i \(0.753919\pi\)
\(18\) 15.5598 + 9.99971i 0.203750 + 0.130942i
\(19\) −41.3286 + 47.6957i −0.499022 + 0.575902i −0.948254 0.317513i \(-0.897152\pi\)
0.449232 + 0.893415i \(0.351698\pi\)
\(20\) −78.9729 + 23.1885i −0.882944 + 0.259256i
\(21\) −52.0353 113.941i −0.540716 1.18400i
\(22\) −57.1772 −0.554101
\(23\) −86.6957 + 68.1972i −0.785969 + 0.618265i
\(24\) 33.7065 0.286679
\(25\) 123.961 + 271.436i 0.991685 + 2.17149i
\(26\) 67.8952 19.9358i 0.512129 0.150375i
\(27\) −100.013 + 115.421i −0.712871 + 0.822697i
\(28\) 100.041 + 64.2926i 0.675215 + 0.433934i
\(29\) −183.506 211.777i −1.17504 1.35607i −0.921327 0.388788i \(-0.872894\pi\)
−0.253712 0.967280i \(-0.581651\pi\)
\(30\) −24.6763 171.627i −0.150175 1.04449i
\(31\) 102.623 + 30.1329i 0.594571 + 0.174582i 0.565154 0.824985i \(-0.308817\pi\)
0.0294170 + 0.999567i \(0.490635\pi\)
\(32\) −26.9201 + 17.3005i −0.148714 + 0.0955727i
\(33\) 17.1422 119.227i 0.0904265 0.628930i
\(34\) 6.87798 15.0607i 0.0346931 0.0759672i
\(35\) 254.127 556.461i 1.22729 2.68740i
\(36\) 5.26452 36.6155i 0.0243728 0.169516i
\(37\) 73.1400 47.0042i 0.324977 0.208850i −0.367972 0.929837i \(-0.619948\pi\)
0.692949 + 0.720987i \(0.256311\pi\)
\(38\) 121.108 + 35.5605i 0.517009 + 0.151807i
\(39\) 21.2149 + 147.553i 0.0871052 + 0.605830i
\(40\) 107.799 + 124.407i 0.426114 + 0.491761i
\(41\) −36.1117 23.2076i −0.137554 0.0884005i 0.470054 0.882638i \(-0.344234\pi\)
−0.607608 + 0.794237i \(0.707871\pi\)
\(42\) −164.057 + 189.332i −0.602727 + 0.695584i
\(43\) −134.644 + 39.5350i −0.477512 + 0.140210i −0.511627 0.859208i \(-0.670957\pi\)
0.0341151 + 0.999418i \(0.489139\pi\)
\(44\) 47.5045 + 104.020i 0.162763 + 0.356402i
\(45\) −190.294 −0.630385
\(46\) 196.098 + 101.062i 0.628545 + 0.323930i
\(47\) 33.4543 0.103826 0.0519128 0.998652i \(-0.483468\pi\)
0.0519128 + 0.998652i \(0.483468\pi\)
\(48\) −28.0044 61.3210i −0.0842100 0.184394i
\(49\) −518.954 + 152.379i −1.51298 + 0.444252i
\(50\) 390.824 451.034i 1.10542 1.27572i
\(51\) 29.3427 + 18.8574i 0.0805646 + 0.0517757i
\(52\) −92.6779 106.956i −0.247156 0.285233i
\(53\) 64.8065 + 450.739i 0.167960 + 1.16818i 0.883093 + 0.469197i \(0.155457\pi\)
−0.715134 + 0.698988i \(0.753634\pi\)
\(54\) 293.075 + 86.0547i 0.738565 + 0.216862i
\(55\) 494.876 318.037i 1.21326 0.779712i
\(56\) 33.8480 235.418i 0.0807701 0.561768i
\(57\) −110.461 + 241.875i −0.256682 + 0.562054i
\(58\) −232.816 + 509.796i −0.527073 + 1.15413i
\(59\) 111.227 773.602i 0.245433 1.70702i −0.378546 0.925583i \(-0.623576\pi\)
0.623979 0.781441i \(-0.285515\pi\)
\(60\) −291.734 + 187.486i −0.627711 + 0.403406i
\(61\) −186.576 54.7836i −0.391616 0.114989i 0.0799955 0.996795i \(-0.474509\pi\)
−0.471612 + 0.881806i \(0.656328\pi\)
\(62\) −30.4428 211.734i −0.0623587 0.433714i
\(63\) 180.049 + 207.787i 0.360063 + 0.415535i
\(64\) 53.8402 + 34.6010i 0.105157 + 0.0675801i
\(65\) −476.752 + 550.201i −0.909751 + 1.04991i
\(66\) −231.147 + 67.8709i −0.431094 + 0.126581i
\(67\) −18.9250 41.4400i −0.0345084 0.0755628i 0.891593 0.452838i \(-0.149588\pi\)
−0.926101 + 0.377275i \(0.876861\pi\)
\(68\) −33.1138 −0.0590535
\(69\) −269.528 + 378.607i −0.470251 + 0.660564i
\(70\) −1223.49 −2.08906
\(71\) 123.917 + 271.341i 0.207131 + 0.453553i 0.984476 0.175522i \(-0.0561613\pi\)
−0.777345 + 0.629075i \(0.783434\pi\)
\(72\) −70.9872 + 20.8437i −0.116193 + 0.0341175i
\(73\) 556.959 642.765i 0.892975 1.03055i −0.106369 0.994327i \(-0.533923\pi\)
0.999344 0.0362209i \(-0.0115320\pi\)
\(74\) −146.280 94.0085i −0.229793 0.147679i
\(75\) 823.330 + 950.174i 1.26760 + 1.46289i
\(76\) −35.9262 249.872i −0.0542240 0.377136i
\(77\) −815.506 239.454i −1.20695 0.354394i
\(78\) 250.812 161.187i 0.364088 0.233985i
\(79\) 24.3529 169.378i 0.0346824 0.241222i −0.965104 0.261865i \(-0.915662\pi\)
0.999787 + 0.0206435i \(0.00657151\pi\)
\(80\) 136.766 299.476i 0.191137 0.418531i
\(81\) −163.581 + 358.193i −0.224391 + 0.491348i
\(82\) −12.2180 + 84.9784i −0.0164544 + 0.114443i
\(83\) 416.427 267.621i 0.550708 0.353919i −0.235506 0.971873i \(-0.575675\pi\)
0.786214 + 0.617954i \(0.212038\pi\)
\(84\) 480.748 + 141.160i 0.624451 + 0.183355i
\(85\) 24.2424 + 168.610i 0.0309348 + 0.215156i
\(86\) 183.791 + 212.106i 0.230450 + 0.265953i
\(87\) −993.232 638.312i −1.22397 0.786600i
\(88\) 149.772 172.847i 0.181429 0.209381i
\(89\) 1411.88 414.566i 1.68156 0.493752i 0.705041 0.709166i \(-0.250928\pi\)
0.976523 + 0.215415i \(0.0691103\pi\)
\(90\) 158.102 + 346.195i 0.185171 + 0.405468i
\(91\) 1051.86 1.21171
\(92\) 20.9342 440.720i 0.0237233 0.499437i
\(93\) 450.638 0.502462
\(94\) −27.7948 60.8622i −0.0304980 0.0667814i
\(95\) −1246.00 + 365.860i −1.34566 + 0.395120i
\(96\) −88.2922 + 101.895i −0.0938676 + 0.108329i
\(97\) 183.811 + 118.128i 0.192404 + 0.123651i 0.633296 0.773910i \(-0.281702\pi\)
−0.440892 + 0.897560i \(0.645338\pi\)
\(98\) 708.379 + 817.513i 0.730174 + 0.842666i
\(99\) 37.6263 + 261.697i 0.0381978 + 0.265672i
\(100\) −1145.26 336.278i −1.14526 0.336278i
\(101\) 275.195 176.857i 0.271118 0.174237i −0.398017 0.917378i \(-0.630301\pi\)
0.669134 + 0.743141i \(0.266665\pi\)
\(102\) 9.92779 69.0493i 0.00963723 0.0670284i
\(103\) −119.017 + 260.611i −0.113855 + 0.249308i −0.957978 0.286842i \(-0.907395\pi\)
0.844123 + 0.536150i \(0.180122\pi\)
\(104\) −117.582 + 257.468i −0.110864 + 0.242758i
\(105\) 366.811 2551.23i 0.340925 2.37118i
\(106\) 766.170 492.388i 0.702048 0.451179i
\(107\) 297.973 + 87.4928i 0.269216 + 0.0790490i 0.413554 0.910479i \(-0.364287\pi\)
−0.144338 + 0.989528i \(0.546105\pi\)
\(108\) −86.9396 604.679i −0.0774608 0.538752i
\(109\) 958.206 + 1105.83i 0.842013 + 0.971735i 0.999876 0.0157257i \(-0.00500586\pi\)
−0.157863 + 0.987461i \(0.550460\pi\)
\(110\) −989.752 636.075i −0.857901 0.551339i
\(111\) 239.884 276.840i 0.205124 0.236725i
\(112\) −456.409 + 134.014i −0.385059 + 0.113063i
\(113\) −565.962 1239.28i −0.471161 1.03170i −0.984800 0.173692i \(-0.944430\pi\)
0.513639 0.858006i \(-0.328297\pi\)
\(114\) 531.808 0.436916
\(115\) −2259.39 + 216.055i −1.83208 + 0.175193i
\(116\) 1120.88 0.897167
\(117\) −135.925 297.633i −0.107404 0.235181i
\(118\) −1499.80 + 440.380i −1.17006 + 0.343562i
\(119\) 161.172 186.003i 0.124157 0.143284i
\(120\) 583.468 + 374.972i 0.443859 + 0.285251i
\(121\) 336.397 + 388.223i 0.252740 + 0.291677i
\(122\) 55.3470 + 384.947i 0.0410728 + 0.285667i
\(123\) −173.535 50.9544i −0.127212 0.0373529i
\(124\) −359.908 + 231.299i −0.260651 + 0.167510i
\(125\) −507.786 + 3531.73i −0.363342 + 2.52710i
\(126\) 228.430 500.192i 0.161509 0.353656i
\(127\) −407.951 + 893.289i −0.285038 + 0.624146i −0.996943 0.0781295i \(-0.975105\pi\)
0.711905 + 0.702275i \(0.247833\pi\)
\(128\) 18.2163 126.697i 0.0125790 0.0874887i
\(129\) −497.388 + 319.652i −0.339477 + 0.218169i
\(130\) 1397.06 + 410.214i 0.942542 + 0.276755i
\(131\) −287.253 1997.89i −0.191583 1.33249i −0.827819 0.560996i \(-0.810418\pi\)
0.636236 0.771495i \(-0.280491\pi\)
\(132\) 315.519 + 364.128i 0.208048 + 0.240101i
\(133\) 1578.41 + 1014.38i 1.02907 + 0.661340i
\(134\) −59.6669 + 68.8593i −0.0384659 + 0.0443921i
\(135\) −3015.27 + 885.363i −1.92232 + 0.564444i
\(136\) 27.5119 + 60.2427i 0.0173465 + 0.0379836i
\(137\) −2140.39 −1.33479 −0.667393 0.744706i \(-0.732590\pi\)
−0.667393 + 0.744706i \(0.732590\pi\)
\(138\) 912.718 + 175.784i 0.563012 + 0.108433i
\(139\) 1380.01 0.842092 0.421046 0.907039i \(-0.361663\pi\)
0.421046 + 0.907039i \(0.361663\pi\)
\(140\) 1016.51 + 2225.84i 0.613647 + 1.34370i
\(141\) 135.244 39.7111i 0.0807771 0.0237183i
\(142\) 390.687 450.876i 0.230885 0.266456i
\(143\) 850.917 + 546.851i 0.497603 + 0.319790i
\(144\) 96.8986 + 111.827i 0.0560756 + 0.0647146i
\(145\) −820.592 5707.34i −0.469975 3.26875i
\(146\) −1632.10 479.227i −0.925160 0.271652i
\(147\) −1917.07 + 1232.02i −1.07563 + 0.691262i
\(148\) −49.4924 + 344.227i −0.0274882 + 0.191184i
\(149\) 669.314 1465.59i 0.368002 0.805813i −0.631534 0.775349i \(-0.717574\pi\)
0.999536 0.0304641i \(-0.00969851\pi\)
\(150\) 1044.57 2287.29i 0.568592 1.24504i
\(151\) −81.4405 + 566.431i −0.0438909 + 0.305268i 0.956037 + 0.293247i \(0.0947357\pi\)
−0.999928 + 0.0120215i \(0.996173\pi\)
\(152\) −424.735 + 272.961i −0.226649 + 0.145658i
\(153\) −73.4580 21.5692i −0.0388152 0.0113972i
\(154\) 241.916 + 1682.57i 0.126586 + 0.880422i
\(155\) 1441.22 + 1663.25i 0.746848 + 0.861909i
\(156\) −501.623 322.374i −0.257449 0.165452i
\(157\) −2342.85 + 2703.79i −1.19095 + 1.37443i −0.281009 + 0.959705i \(0.590669\pi\)
−0.909945 + 0.414729i \(0.863876\pi\)
\(158\) −328.376 + 96.4200i −0.165343 + 0.0485491i
\(159\) 797.029 + 1745.25i 0.397538 + 0.870486i
\(160\) −658.456 −0.325347
\(161\) 2373.66 + 2262.67i 1.16193 + 1.10760i
\(162\) 787.556 0.381952
\(163\) −894.318 1958.28i −0.429745 0.941010i −0.993368 0.114978i \(-0.963320\pi\)
0.563623 0.826032i \(-0.309407\pi\)
\(164\) 164.749 48.3747i 0.0784436 0.0230331i
\(165\) 1623.09 1873.14i 0.765801 0.883781i
\(166\) −832.854 535.243i −0.389410 0.250258i
\(167\) −1115.69 1287.58i −0.516976 0.596622i 0.435895 0.899998i \(-0.356432\pi\)
−0.952871 + 0.303375i \(0.901886\pi\)
\(168\) −142.612 991.888i −0.0654926 0.455511i
\(169\) 906.914 + 266.294i 0.412796 + 0.121208i
\(170\) 286.604 184.189i 0.129303 0.0830981i
\(171\) 83.0616 577.706i 0.0371455 0.258352i
\(172\) 233.178 510.588i 0.103370 0.226349i
\(173\) −441.180 + 966.049i −0.193886 + 0.424551i −0.981460 0.191670i \(-0.938610\pi\)
0.787573 + 0.616221i \(0.211337\pi\)
\(174\) −336.050 + 2337.28i −0.146413 + 1.01833i
\(175\) 7463.13 4796.26i 3.22377 2.07179i
\(176\) −438.889 128.869i −0.187969 0.0551926i
\(177\) −468.635 3259.43i −0.199010 1.38414i
\(178\) −1927.24 2224.15i −0.811532 0.936558i
\(179\) −1948.54 1252.25i −0.813633 0.522890i 0.0664052 0.997793i \(-0.478847\pi\)
−0.880038 + 0.474902i \(0.842483\pi\)
\(180\) 498.464 575.258i 0.206407 0.238207i
\(181\) −1844.97 + 541.731i −0.757654 + 0.222467i −0.637671 0.770309i \(-0.720102\pi\)
−0.119983 + 0.992776i \(0.538284\pi\)
\(182\) −873.920 1913.62i −0.355930 0.779378i
\(183\) −819.289 −0.330949
\(184\) −819.178 + 328.078i −0.328210 + 0.131447i
\(185\) 1788.98 0.710963
\(186\) −374.404 819.830i −0.147595 0.323187i
\(187\) 227.082 66.6774i 0.0888017 0.0260745i
\(188\) −87.6316 + 101.132i −0.0339957 + 0.0392331i
\(189\) 3819.68 + 2454.76i 1.47006 + 0.944748i
\(190\) 1700.81 + 1962.84i 0.649421 + 0.749472i
\(191\) 120.423 + 837.560i 0.0456204 + 0.317297i 0.999835 + 0.0181736i \(0.00578514\pi\)
−0.954214 + 0.299123i \(0.903306\pi\)
\(192\) 258.729 + 75.9697i 0.0972509 + 0.0285554i
\(193\) 1791.03 1151.03i 0.667986 0.429289i −0.162213 0.986756i \(-0.551863\pi\)
0.830199 + 0.557467i \(0.188227\pi\)
\(194\) 62.1906 432.545i 0.0230156 0.160077i
\(195\) −1274.23 + 2790.19i −0.467948 + 1.02466i
\(196\) 898.729 1967.94i 0.327525 0.717180i
\(197\) −108.593 + 755.278i −0.0392736 + 0.273154i −0.999990 0.00437668i \(-0.998607\pi\)
0.960717 + 0.277530i \(0.0895159\pi\)
\(198\) 444.834 285.878i 0.159662 0.102608i
\(199\) 3542.32 + 1040.12i 1.26185 + 0.370513i 0.843184 0.537625i \(-0.180679\pi\)
0.418669 + 0.908139i \(0.362497\pi\)
\(200\) 339.736 + 2362.92i 0.120115 + 0.835418i
\(201\) −125.698 145.063i −0.0441096 0.0509052i
\(202\) −550.389 353.714i −0.191709 0.123204i
\(203\) −5455.59 + 6296.09i −1.88624 + 2.17684i
\(204\) −133.867 + 39.3070i −0.0459440 + 0.0134904i
\(205\) −366.927 803.459i −0.125011 0.273737i
\(206\) 573.003 0.193801
\(207\) 333.509 964.035i 0.111983 0.323696i
\(208\) 566.092 0.188709
\(209\) 749.508 + 1641.19i 0.248060 + 0.543176i
\(210\) −4946.11 + 1452.31i −1.62531 + 0.477233i
\(211\) −2982.75 + 3442.27i −0.973179 + 1.12311i 0.0191914 + 0.999816i \(0.493891\pi\)
−0.992370 + 0.123293i \(0.960655\pi\)
\(212\) −1532.34 984.776i −0.496423 0.319031i
\(213\) 823.042 + 949.841i 0.264760 + 0.305549i
\(214\) −88.3925 614.783i −0.0282354 0.196382i
\(215\) −2770.53 813.502i −0.878831 0.258048i
\(216\) −1027.84 + 660.551i −0.323775 + 0.208078i
\(217\) 452.529 3147.41i 0.141565 0.984609i
\(218\) 1215.69 2661.98i 0.377692 0.827029i
\(219\) 1488.61 3259.60i 0.459319 1.00577i
\(220\) −334.872 + 2329.09i −0.102623 + 0.713760i
\(221\) −246.401 + 158.353i −0.0749989 + 0.0481989i
\(222\) −702.948 206.404i −0.212517 0.0624007i
\(223\) 188.029 + 1307.77i 0.0564635 + 0.392713i 0.998382 + 0.0568698i \(0.0181120\pi\)
−0.941918 + 0.335843i \(0.890979\pi\)
\(224\) 623.005 + 718.986i 0.185831 + 0.214461i
\(225\) −2321.55 1491.97i −0.687865 0.442064i
\(226\) −1784.36 + 2059.27i −0.525196 + 0.606108i
\(227\) 1117.97 328.266i 0.326883 0.0959814i −0.114174 0.993461i \(-0.536422\pi\)
0.441056 + 0.897479i \(0.354604\pi\)
\(228\) −441.842 967.499i −0.128341 0.281027i
\(229\) 504.598 0.145610 0.0728051 0.997346i \(-0.476805\pi\)
0.0728051 + 0.997346i \(0.476805\pi\)
\(230\) 2270.23 + 3930.93i 0.650846 + 1.12695i
\(231\) −3581.04 −1.01998
\(232\) −931.263 2039.18i −0.263536 0.577064i
\(233\) 4885.89 1434.63i 1.37376 0.403372i 0.490166 0.871629i \(-0.336936\pi\)
0.883592 + 0.468258i \(0.155118\pi\)
\(234\) −428.543 + 494.565i −0.119721 + 0.138166i
\(235\) 579.102 + 372.166i 0.160751 + 0.103308i
\(236\) 2047.24 + 2362.65i 0.564679 + 0.651674i
\(237\) −102.606 713.642i −0.0281223 0.195595i
\(238\) −472.295 138.678i −0.128632 0.0377696i
\(239\) −32.9740 + 21.1911i −0.00892432 + 0.00573531i −0.545095 0.838374i \(-0.683507\pi\)
0.536171 + 0.844109i \(0.319870\pi\)
\(240\) 197.410 1373.02i 0.0530950 0.369284i
\(241\) −1489.39 + 3261.30i −0.398090 + 0.871696i 0.599370 + 0.800472i \(0.295418\pi\)
−0.997460 + 0.0712240i \(0.977309\pi\)
\(242\) 426.791 934.542i 0.113368 0.248242i
\(243\) 350.727 2439.36i 0.0925890 0.643971i
\(244\) 654.336 420.516i 0.171678 0.110331i
\(245\) −10678.4 3135.45i −2.78456 0.817619i
\(246\) 51.4784 + 358.040i 0.0133420 + 0.0927960i
\(247\) −1462.24 1687.51i −0.376680 0.434712i
\(248\) 719.816 + 462.597i 0.184308 + 0.118447i
\(249\) 1365.79 1576.21i 0.347604 0.401157i
\(250\) 6847.03 2010.47i 1.73218 0.508613i
\(251\) 1492.63 + 3268.39i 0.375353 + 0.821909i 0.999186 + 0.0403509i \(0.0128476\pi\)
−0.623832 + 0.781558i \(0.714425\pi\)
\(252\) −1099.77 −0.274916
\(253\) 743.867 + 3064.45i 0.184848 + 0.761503i
\(254\) 1964.07 0.485183
\(255\) 298.147 + 652.852i 0.0732185 + 0.160326i
\(256\) −245.630 + 72.1235i −0.0599683 + 0.0176083i
\(257\) 1072.04 1237.20i 0.260202 0.300289i −0.610584 0.791952i \(-0.709065\pi\)
0.870786 + 0.491662i \(0.163611\pi\)
\(258\) 994.776 + 639.304i 0.240047 + 0.154269i
\(259\) −1692.66 1953.43i −0.406088 0.468650i
\(260\) −414.433 2882.44i −0.0988539 0.687544i
\(261\) 2486.51 + 730.106i 0.589698 + 0.173151i
\(262\) −3396.03 + 2182.49i −0.800791 + 0.514637i
\(263\) −671.844 + 4672.77i −0.157520 + 1.09557i 0.745665 + 0.666321i \(0.232132\pi\)
−0.903185 + 0.429252i \(0.858777\pi\)
\(264\) 400.303 876.541i 0.0933217 0.204346i
\(265\) −3892.49 + 8523.36i −0.902315 + 1.97580i
\(266\) 534.040 3714.33i 0.123098 0.856166i
\(267\) 5215.63 3351.88i 1.19547 0.768284i
\(268\) 174.846 + 51.3395i 0.0398524 + 0.0117017i
\(269\) −1045.68 7272.86i −0.237012 1.64845i −0.666590 0.745425i \(-0.732247\pi\)
0.429578 0.903030i \(-0.358662\pi\)
\(270\) 4115.88 + 4749.98i 0.927721 + 1.07065i
\(271\) −5009.42 3219.36i −1.12288 0.721631i −0.158817 0.987308i \(-0.550768\pi\)
−0.964062 + 0.265677i \(0.914404\pi\)
\(272\) 86.7397 100.103i 0.0193359 0.0223148i
\(273\) 4252.31 1248.59i 0.942716 0.276806i
\(274\) 1778.30 + 3893.93i 0.392084 + 0.858543i
\(275\) 8530.90 1.87066
\(276\) −438.516 1806.52i −0.0956362 0.393985i
\(277\) −1749.05 −0.379388 −0.189694 0.981843i \(-0.560750\pi\)
−0.189694 + 0.981843i \(0.560750\pi\)
\(278\) −1146.55 2510.60i −0.247358 0.541639i
\(279\) −949.062 + 278.670i −0.203652 + 0.0597976i
\(280\) 3204.85 3698.59i 0.684023 0.789405i
\(281\) −1427.46 917.370i −0.303042 0.194754i 0.380278 0.924872i \(-0.375828\pi\)
−0.683320 + 0.730119i \(0.739465\pi\)
\(282\) −184.609 213.051i −0.0389835 0.0449893i
\(283\) −114.254 794.657i −0.0239990 0.166917i 0.974297 0.225266i \(-0.0723253\pi\)
−0.998296 + 0.0583496i \(0.981416\pi\)
\(284\) −1144.86 336.160i −0.239207 0.0702375i
\(285\) −4602.87 + 2958.08i −0.956667 + 0.614813i
\(286\) 287.899 2002.38i 0.0595239 0.413998i
\(287\) −530.147 + 1160.86i −0.109037 + 0.238757i
\(288\) 122.936 269.193i 0.0251531 0.0550777i
\(289\) 689.440 4795.16i 0.140330 0.976014i
\(290\) −9701.39 + 6234.70i −1.96443 + 1.26246i
\(291\) 883.304 + 259.361i 0.177939 + 0.0522475i
\(292\) 484.155 + 3367.37i 0.0970310 + 0.674865i
\(293\) 3986.52 + 4600.69i 0.794863 + 0.917321i 0.998088 0.0618114i \(-0.0196877\pi\)
−0.203225 + 0.979132i \(0.565142\pi\)
\(294\) 3834.13 + 2464.05i 0.760582 + 0.488796i
\(295\) 10531.4 12153.9i 2.07852 2.39873i
\(296\) 667.360 195.954i 0.131046 0.0384784i
\(297\) 1813.77 + 3971.61i 0.354363 + 0.775946i
\(298\) −3222.39 −0.626402
\(299\) −1951.78 3379.53i −0.377506 0.653656i
\(300\) −5029.04 −0.967840
\(301\) 1733.08 + 3794.92i 0.331871 + 0.726697i
\(302\) 1098.15 322.446i 0.209243 0.0614394i
\(303\) 902.580 1041.63i 0.171128 0.197492i
\(304\) 849.470 + 545.922i 0.160265 + 0.102996i
\(305\) −2620.23 3023.90i −0.491914 0.567699i
\(306\) 21.7910 + 151.560i 0.00407095 + 0.0283141i
\(307\) −5241.27 1538.97i −0.974381 0.286104i −0.244478 0.969655i \(-0.578617\pi\)
−0.729903 + 0.683551i \(0.760435\pi\)
\(308\) 2860.04 1838.04i 0.529110 0.340038i
\(309\) −171.791 + 1194.83i −0.0316273 + 0.219973i
\(310\) 1828.49 4003.84i 0.335004 0.733557i
\(311\) 1670.41 3657.69i 0.304567 0.666909i −0.694025 0.719951i \(-0.744164\pi\)
0.998592 + 0.0530415i \(0.0168916\pi\)
\(312\) −169.719 + 1180.42i −0.0307963 + 0.214193i
\(313\) −5205.89 + 3345.62i −0.940109 + 0.604171i −0.918426 0.395593i \(-0.870539\pi\)
−0.0216834 + 0.999765i \(0.506903\pi\)
\(314\) 6865.42 + 2015.87i 1.23388 + 0.362300i
\(315\) 805.133 + 5599.82i 0.144013 + 1.00163i
\(316\) 448.238 + 517.295i 0.0797955 + 0.0920889i
\(317\) 351.281 + 225.755i 0.0622394 + 0.0399989i 0.571391 0.820678i \(-0.306404\pi\)
−0.509151 + 0.860677i \(0.670041\pi\)
\(318\) 2512.88 2900.01i 0.443129 0.511398i
\(319\) −7686.61 + 2256.99i −1.34912 + 0.396136i
\(320\) 547.065 + 1197.90i 0.0955683 + 0.209265i
\(321\) 1308.45 0.227510
\(322\) 2144.28 6198.21i 0.371106 1.07271i
\(323\) −522.457 −0.0900008
\(324\) −654.325 1432.77i −0.112196 0.245674i
\(325\) −10130.0 + 2974.45i −1.72896 + 0.507670i
\(326\) −2819.61 + 3254.00i −0.479030 + 0.552830i
\(327\) 5186.33 + 3333.05i 0.877079 + 0.563664i
\(328\) −224.885 259.531i −0.0378573 0.0436897i
\(329\) −141.545 984.466i −0.0237192 0.164971i
\(330\) −4756.25 1396.56i −0.793403 0.232964i
\(331\) 6528.35 4195.51i 1.08408 0.696696i 0.128583 0.991699i \(-0.458957\pi\)
0.955496 + 0.295003i \(0.0953206\pi\)
\(332\) −281.788 + 1959.88i −0.0465817 + 0.323983i
\(333\) −334.009 + 731.379i −0.0549658 + 0.120358i
\(334\) −1415.50 + 3099.50i −0.231894 + 0.507776i
\(335\) 133.408 927.872i 0.0217577 0.151328i
\(336\) −1686.02 + 1083.54i −0.273750 + 0.175928i
\(337\) −3968.91 1165.38i −0.641544 0.188374i −0.0552496 0.998473i \(-0.517595\pi\)
−0.586294 + 0.810098i \(0.699414\pi\)
\(338\) −269.032 1871.16i −0.0432942 0.301117i
\(339\) −3759.04 4338.17i −0.602251 0.695035i
\(340\) −573.208 368.378i −0.0914311 0.0587592i
\(341\) 2002.38 2310.87i 0.317991 0.366981i
\(342\) −1120.01 + 328.864i −0.177085 + 0.0519969i
\(343\) 2443.64 + 5350.83i 0.384677 + 0.842325i
\(344\) −1122.63 −0.175953
\(345\) −8877.45 + 3555.39i −1.38535 + 0.554828i
\(346\) 2124.04 0.330027
\(347\) 4816.44 + 10546.5i 0.745129 + 1.63161i 0.774928 + 0.632049i \(0.217786\pi\)
−0.0297991 + 0.999556i \(0.509487\pi\)
\(348\) 4531.33 1330.52i 0.698002 0.204952i
\(349\) −5234.45 + 6040.87i −0.802847 + 0.926534i −0.998534 0.0541320i \(-0.982761\pi\)
0.195687 + 0.980666i \(0.437306\pi\)
\(350\) −14926.3 9592.52i −2.27955 1.46498i
\(351\) −3538.54 4083.69i −0.538100 0.621001i
\(352\) 130.195 + 905.523i 0.0197142 + 0.137115i
\(353\) 4102.06 + 1204.47i 0.618501 + 0.181608i 0.575948 0.817486i \(-0.304633\pi\)
0.0425524 + 0.999094i \(0.486451\pi\)
\(354\) −5540.40 + 3560.60i −0.831833 + 0.534587i
\(355\) −873.527 + 6075.51i −0.130597 + 0.908323i
\(356\) −2445.11 + 5354.05i −0.364019 + 0.797090i
\(357\) 430.771 943.258i 0.0638623 0.139839i
\(358\) −659.267 + 4585.30i −0.0973278 + 0.676930i
\(359\) −578.678 + 371.894i −0.0850737 + 0.0546736i −0.582486 0.812841i \(-0.697920\pi\)
0.497412 + 0.867514i \(0.334284\pi\)
\(360\) −1460.69 428.896i −0.213847 0.0627911i
\(361\) 409.307 + 2846.79i 0.0596745 + 0.415045i
\(362\) 2518.41 + 2906.39i 0.365648 + 0.421980i
\(363\) 1820.76 + 1170.13i 0.263265 + 0.169190i
\(364\) −2755.30 + 3179.78i −0.396750 + 0.457873i
\(365\) 16791.6 4930.47i 2.40798 0.707048i
\(366\) 680.690 + 1490.50i 0.0972137 + 0.212868i
\(367\) 1805.34 0.256779 0.128390 0.991724i \(-0.459019\pi\)
0.128390 + 0.991724i \(0.459019\pi\)
\(368\) 1277.46 + 1217.72i 0.180957 + 0.172495i
\(369\) 396.981 0.0560055
\(370\) −1486.34 3254.62i −0.208840 0.457296i
\(371\) 12989.8 3814.15i 1.81778 0.533749i
\(372\) −1180.42 + 1362.28i −0.164521 + 0.189868i
\(373\) 8683.33 + 5580.44i 1.20538 + 0.774649i 0.979879 0.199594i \(-0.0639624\pi\)
0.225499 + 0.974243i \(0.427599\pi\)
\(374\) −309.971 357.725i −0.0428562 0.0494587i
\(375\) 2139.46 + 14880.3i 0.294617 + 2.04910i
\(376\) 256.793 + 75.4013i 0.0352210 + 0.0103418i
\(377\) 8340.55 5360.15i 1.13942 0.732259i
\(378\) 1292.35 8988.49i 0.175850 1.22306i
\(379\) 3070.14 6722.66i 0.416101 0.911135i −0.579280 0.815129i \(-0.696666\pi\)
0.995381 0.0960057i \(-0.0306067\pi\)
\(380\) 2157.84 4725.02i 0.291303 0.637864i
\(381\) −588.843 + 4095.49i −0.0791794 + 0.550705i
\(382\) 1423.69 914.951i 0.190687 0.122547i
\(383\) −7624.40 2238.73i −1.01720 0.298678i −0.269706 0.962943i \(-0.586927\pi\)
−0.747497 + 0.664265i \(0.768745\pi\)
\(384\) −76.7509 533.814i −0.0101997 0.0709404i
\(385\) −11452.8 13217.2i −1.51607 1.74964i
\(386\) −3582.07 2302.05i −0.472338 0.303553i
\(387\) 849.850 980.779i 0.111629 0.128826i
\(388\) −838.584 + 246.231i −0.109723 + 0.0322177i
\(389\) −5233.96 11460.8i −0.682191 1.49379i −0.860305 0.509780i \(-0.829727\pi\)
0.178114 0.984010i \(-0.443000\pi\)
\(390\) 6134.76 0.796527
\(391\) −896.669 172.693i −0.115976 0.0223362i
\(392\) −4326.90 −0.557503
\(393\) −3532.81 7735.77i −0.453452 0.992921i
\(394\) 1464.27 429.949i 0.187231 0.0549759i
\(395\) 2305.82 2661.06i 0.293718 0.338968i
\(396\) −889.668 571.755i −0.112898 0.0725550i
\(397\) 1480.96 + 1709.12i 0.187222 + 0.216066i 0.841599 0.540102i \(-0.181615\pi\)
−0.654377 + 0.756168i \(0.727069\pi\)
\(398\) −1050.82 7308.59i −0.132343 0.920468i
\(399\) 7585.06 + 2227.17i 0.951699 + 0.279444i
\(400\) 4016.51 2581.25i 0.502064 0.322657i
\(401\) 981.259 6824.80i 0.122199 0.849911i −0.832858 0.553487i \(-0.813297\pi\)
0.955056 0.296424i \(-0.0957942\pi\)
\(402\) −159.474 + 349.200i −0.0197857 + 0.0433246i
\(403\) −1572.00 + 3442.21i −0.194311 + 0.425481i
\(404\) −186.219 + 1295.18i −0.0229325 + 0.159499i
\(405\) −6816.39 + 4380.63i −0.836319 + 0.537470i
\(406\) 15986.9 + 4694.18i 1.95423 + 0.573813i
\(407\) −353.729 2460.24i −0.0430804 0.299631i
\(408\) 182.731 + 210.882i 0.0221728 + 0.0255888i
\(409\) 6904.20 + 4437.06i 0.834696 + 0.536427i 0.886767 0.462217i \(-0.152946\pi\)
−0.0520710 + 0.998643i \(0.516582\pi\)
\(410\) −1156.85 + 1335.08i −0.139348 + 0.160816i
\(411\) −8652.82 + 2540.70i −1.03847 + 0.304923i
\(412\) −476.068 1042.44i −0.0569276 0.124654i
\(413\) −23235.6 −2.76839
\(414\) −2030.92 + 194.207i −0.241098 + 0.0230550i
\(415\) 10185.6 1.20480
\(416\) −470.327 1029.87i −0.0554319 0.121379i
\(417\) 5578.88 1638.11i 0.655153 0.192370i
\(418\) 2363.05 2727.11i 0.276509 0.319108i
\(419\) −8472.68 5445.06i −0.987870 0.634866i −0.0562949 0.998414i \(-0.517929\pi\)
−0.931575 + 0.363549i \(0.881565\pi\)
\(420\) 6751.51 + 7791.66i 0.784381 + 0.905224i
\(421\) 1767.01 + 12289.8i 0.204557 + 1.42273i 0.790544 + 0.612406i \(0.209798\pi\)
−0.585986 + 0.810321i \(0.699293\pi\)
\(422\) 8740.56 + 2566.46i 1.00826 + 0.296051i
\(423\) −260.272 + 167.266i −0.0299169 + 0.0192264i
\(424\) −518.452 + 3605.91i −0.0593827 + 0.413016i
\(425\) −1026.20 + 2247.07i −0.117125 + 0.256468i
\(426\) 1044.20 2286.49i 0.118760 0.260049i
\(427\) −822.728 + 5722.20i −0.0932426 + 0.648516i
\(428\) −1045.01 + 671.590i −0.118020 + 0.0758470i
\(429\) 4089.08 + 1200.66i 0.460192 + 0.135125i
\(430\) 821.867 + 5716.21i 0.0921720 + 0.641070i
\(431\) −3322.72 3834.62i −0.371345 0.428555i 0.539064 0.842265i \(-0.318778\pi\)
−0.910409 + 0.413710i \(0.864233\pi\)
\(432\) 2055.68 + 1321.10i 0.228944 + 0.147133i
\(433\) −2264.32 + 2613.16i −0.251308 + 0.290024i −0.867361 0.497680i \(-0.834185\pi\)
0.616053 + 0.787705i \(0.288731\pi\)
\(434\) −6101.95 + 1791.69i −0.674891 + 0.198166i
\(435\) −10092.1 22098.7i −1.11237 2.43575i
\(436\) −5852.88 −0.642895
\(437\) 330.292 6953.51i 0.0361556 0.761170i
\(438\) −7166.84 −0.781838
\(439\) −5428.12 11885.9i −0.590137 1.29222i −0.935360 0.353698i \(-0.884924\pi\)
0.345223 0.938521i \(-0.387803\pi\)
\(440\) 4515.45 1325.86i 0.489240 0.143654i
\(441\) 3275.55 3780.18i 0.353693 0.408183i
\(442\) 492.803 + 316.705i 0.0530322 + 0.0340817i
\(443\) −5939.80 6854.90i −0.637040 0.735183i 0.341809 0.939770i \(-0.388960\pi\)
−0.978848 + 0.204586i \(0.934415\pi\)
\(444\) 208.527 + 1450.34i 0.0222888 + 0.155022i
\(445\) 29051.9 + 8530.41i 3.09482 + 0.908720i
\(446\) 2222.96 1428.61i 0.236010 0.151674i
\(447\) 966.098 6719.36i 0.102226 0.710995i
\(448\) 790.414 1730.76i 0.0833561 0.182524i
\(449\) −1901.16 + 4162.95i −0.199824 + 0.437555i −0.982843 0.184444i \(-0.940952\pi\)
0.783019 + 0.621998i \(0.213679\pi\)
\(450\) −785.471 + 5463.07i −0.0822833 + 0.572293i
\(451\) −1032.38 + 663.473i −0.107789 + 0.0692721i
\(452\) 5228.85 + 1535.33i 0.544125 + 0.159770i
\(453\) 343.134 + 2386.55i 0.0355891 + 0.247527i
\(454\) −1526.05 1761.15i −0.157755 0.182059i
\(455\) 18208.0 + 11701.6i 1.87606 + 1.20567i
\(456\) −1393.04 + 1607.65i −0.143059 + 0.165099i
\(457\) −16678.3 + 4897.19i −1.70717 + 0.501271i −0.982253 0.187563i \(-0.939941\pi\)
−0.724920 + 0.688834i \(0.758123\pi\)
\(458\) −419.235 917.996i −0.0427720 0.0936575i
\(459\) −1264.32 −0.128569
\(460\) 5265.22 7396.08i 0.533678 0.749661i
\(461\) −6205.76 −0.626965 −0.313483 0.949594i \(-0.601496\pi\)
−0.313483 + 0.949594i \(0.601496\pi\)
\(462\) 2975.23 + 6514.85i 0.299611 + 0.656057i
\(463\) 1067.37 313.407i 0.107138 0.0314585i −0.227724 0.973726i \(-0.573128\pi\)
0.334862 + 0.942267i \(0.391310\pi\)
\(464\) −2936.09 + 3388.43i −0.293760 + 0.339017i
\(465\) 7800.66 + 5013.18i 0.777950 + 0.499958i
\(466\) −6669.31 7696.80i −0.662983 0.765123i
\(467\) 1902.42 + 13231.6i 0.188508 + 1.31110i 0.835873 + 0.548923i \(0.184962\pi\)
−0.647364 + 0.762181i \(0.724129\pi\)
\(468\) 1255.79 + 368.734i 0.124036 + 0.0364203i
\(469\) −1139.39 + 732.244i −0.112180 + 0.0720935i
\(470\) 195.933 1362.75i 0.0192292 0.133742i
\(471\) −6261.83 + 13711.5i −0.612590 + 1.34139i
\(472\) 2597.36 5687.44i 0.253291 0.554630i
\(473\) −570.937 + 3970.95i −0.0555004 + 0.386014i
\(474\) −1213.05 + 779.583i −0.117547 + 0.0755431i
\(475\) −18069.5 5305.67i −1.74544 0.512507i
\(476\) 140.104 + 974.447i 0.0134909 + 0.0938313i
\(477\) −2757.82 3182.69i −0.264721 0.305504i
\(478\) 65.9481 + 42.3823i 0.00631045 + 0.00405548i
\(479\) −10869.5 + 12544.0i −1.03682 + 1.19656i −0.0566542 + 0.998394i \(0.518043\pi\)
−0.980169 + 0.198164i \(0.936502\pi\)
\(480\) −2661.90 + 781.604i −0.253122 + 0.0743233i
\(481\) 1277.84 + 2798.09i 0.121132 + 0.265243i
\(482\) 7170.59 0.677617
\(483\) 12281.7 + 6329.56i 1.15701 + 0.596284i
\(484\) −2054.77 −0.192972
\(485\) 1867.68 + 4089.66i 0.174860 + 0.382890i
\(486\) −4729.23 + 1388.63i −0.441404 + 0.129608i
\(487\) −7864.51 + 9076.13i −0.731776 + 0.844515i −0.992670 0.120852i \(-0.961437\pi\)
0.260894 + 0.965367i \(0.415983\pi\)
\(488\) −1308.67 841.032i −0.121395 0.0780158i
\(489\) −5939.94 6855.06i −0.549312 0.633940i
\(490\) 3167.69 + 22031.8i 0.292045 + 2.03121i
\(491\) −6215.63 1825.07i −0.571298 0.167748i −0.0166913 0.999861i \(-0.505313\pi\)
−0.554607 + 0.832112i \(0.687131\pi\)
\(492\) 608.600 391.123i 0.0557679 0.0358398i
\(493\) 330.141 2296.18i 0.0301598 0.209766i
\(494\) −1855.16 + 4062.23i −0.168963 + 0.369976i
\(495\) −2259.96 + 4948.61i −0.205207 + 0.449341i
\(496\) 243.542 1693.87i 0.0220471 0.153341i
\(497\) 7460.51 4794.58i 0.673340 0.432729i
\(498\) −4002.28 1175.17i −0.360133 0.105745i
\(499\) −2709.58 18845.6i −0.243081 1.69067i −0.636474 0.771298i \(-0.719608\pi\)
0.393393 0.919371i \(-0.371301\pi\)
\(500\) −9346.30 10786.2i −0.835958 0.964747i
\(501\) −6038.75 3880.87i −0.538506 0.346076i
\(502\) 4705.95 5430.96i 0.418400 0.482860i
\(503\) −2408.70 + 707.258i −0.213516 + 0.0626940i −0.386741 0.922188i \(-0.626399\pi\)
0.173225 + 0.984882i \(0.444581\pi\)
\(504\) 913.720 + 2000.77i 0.0807546 + 0.176828i
\(505\) 6731.16 0.593134
\(506\) 4957.01 3899.33i 0.435506 0.342581i
\(507\) 3982.42 0.348848
\(508\) −1631.80 3573.15i −0.142519 0.312073i
\(509\) 4628.52 1359.06i 0.403056 0.118348i −0.0739201 0.997264i \(-0.523551\pi\)
0.476976 + 0.878916i \(0.341733\pi\)
\(510\) 940.000 1084.82i 0.0816155 0.0941893i
\(511\) −21271.3 13670.2i −1.84146 1.18343i
\(512\) 335.289 + 386.944i 0.0289410 + 0.0333997i
\(513\) −1371.70 9540.39i −0.118055 0.821088i
\(514\) −3141.48 922.420i −0.269581 0.0791561i
\(515\) −4959.41 + 3187.22i −0.424345 + 0.272710i
\(516\) 336.572 2340.91i 0.0287147 0.199715i
\(517\) 397.307 869.982i 0.0337980 0.0740073i
\(518\) −2147.50 + 4702.36i −0.182154 + 0.398861i
\(519\) −636.806 + 4429.08i −0.0538587 + 0.374596i
\(520\) −4899.60 + 3148.78i −0.413196 + 0.265545i
\(521\) 20412.4 + 5993.63i 1.71648 + 0.504004i 0.984209 0.177011i \(-0.0566428\pi\)
0.732270 + 0.681015i \(0.238461\pi\)
\(522\) −737.614 5130.22i −0.0618477 0.430160i
\(523\) 1810.30 + 2089.20i 0.151355 + 0.174674i 0.826364 0.563137i \(-0.190405\pi\)
−0.675008 + 0.737810i \(0.735860\pi\)
\(524\) 6792.05 + 4364.99i 0.566245 + 0.363903i
\(525\) 24477.5 28248.5i 2.03483 2.34832i
\(526\) 9059.20 2660.02i 0.750950 0.220499i
\(527\) 367.820 + 805.414i 0.0304032 + 0.0665738i
\(528\) −1927.24 −0.158849
\(529\) 2865.27 11824.8i 0.235496 0.971875i
\(530\) 18740.2 1.53589
\(531\) 3002.56 + 6574.69i 0.245386 + 0.537320i
\(532\) −7201.04 + 2114.42i −0.586851 + 0.172315i
\(533\) 994.575 1147.80i 0.0808252 0.0932773i
\(534\) −10431.3 6703.77i −0.845328 0.543259i
\(535\) 4184.66 + 4829.36i 0.338166 + 0.390264i
\(536\) −51.8674 360.746i −0.00417972 0.0290706i
\(537\) −9363.68 2749.42i −0.752463 0.220943i
\(538\) −12362.5 + 7944.88i −0.990677 + 0.636669i
\(539\) −2200.54 + 15305.1i −0.175852 + 1.22308i
\(540\) 5221.87 11434.3i 0.416136 0.911212i
\(541\) 4614.04 10103.3i 0.366678 0.802913i −0.632910 0.774225i \(-0.718140\pi\)
0.999588 0.0286881i \(-0.00913296\pi\)
\(542\) −1694.89 + 11788.2i −0.134320 + 0.934218i
\(543\) −6815.49 + 4380.05i −0.538638 + 0.346162i
\(544\) −254.180 74.6339i −0.0200328 0.00588217i
\(545\) 4284.86 + 29801.8i 0.336776 + 2.34233i
\(546\) −5804.46 6698.71i −0.454960 0.525052i
\(547\) 21288.6 + 13681.4i 1.66405 + 1.06942i 0.911885 + 0.410446i \(0.134627\pi\)
0.752166 + 0.658974i \(0.229009\pi\)
\(548\) 5606.62 6470.39i 0.437049 0.504382i
\(549\) 1725.46 506.640i 0.134136 0.0393859i
\(550\) −7087.72 15520.0i −0.549494 1.20322i
\(551\) 17684.9 1.36733
\(552\) −2922.21 + 2298.69i −0.225321 + 0.177244i
\(553\) −5087.36 −0.391205
\(554\) 1453.17 + 3181.99i 0.111442 + 0.244025i
\(555\) 7232.19 2123.56i 0.553134 0.162415i
\(556\) −3614.85 + 4171.76i −0.275726 + 0.318205i
\(557\) −7566.21 4862.51i −0.575567 0.369894i 0.220239 0.975446i \(-0.429316\pi\)
−0.795806 + 0.605552i \(0.792952\pi\)
\(558\) 1295.48 + 1495.07i 0.0982835 + 0.113425i
\(559\) −706.582 4914.38i −0.0534619 0.371836i
\(560\) −9391.40 2757.57i −0.708677 0.208086i
\(561\) 838.865 539.106i 0.0631318 0.0405723i
\(562\) −482.966 + 3359.10i −0.0362503 + 0.252126i
\(563\) 4986.66 10919.3i 0.373291 0.817393i −0.626003 0.779821i \(-0.715310\pi\)
0.999294 0.0375724i \(-0.0119625\pi\)
\(564\) −234.216 + 512.862i −0.0174863 + 0.0382897i
\(565\) 3989.62 27748.4i 0.297070 2.06617i
\(566\) −1350.77 + 868.084i −0.100313 + 0.0644669i
\(567\) 11232.7 + 3298.23i 0.831976 + 0.244290i
\(568\) 339.617 + 2362.09i 0.0250881 + 0.174491i
\(569\) 6598.22 + 7614.75i 0.486137 + 0.561031i 0.944829 0.327564i \(-0.106228\pi\)
−0.458693 + 0.888595i \(0.651682\pi\)
\(570\) 9205.73 + 5916.16i 0.676466 + 0.434738i
\(571\) −2007.71 + 2317.02i −0.147145 + 0.169814i −0.824537 0.565807i \(-0.808565\pi\)
0.677392 + 0.735622i \(0.263110\pi\)
\(572\) −3882.06 + 1139.87i −0.283771 + 0.0833227i
\(573\) 1481.03 + 3243.01i 0.107977 + 0.236438i
\(574\) 2552.37 0.185599
\(575\) −29258.0 15078.6i −2.12199 1.09360i
\(576\) −591.873 −0.0428149
\(577\) 3179.79 + 6962.77i 0.229422 + 0.502364i 0.988975 0.148081i \(-0.0473096\pi\)
−0.759553 + 0.650445i \(0.774582\pi\)
\(578\) −9296.46 + 2729.69i −0.669000 + 0.196436i
\(579\) 5874.21 6779.19i 0.421630 0.486587i
\(580\) 19402.8 + 12469.4i 1.38906 + 0.892696i
\(581\) −9637.25 11122.0i −0.688159 0.794178i
\(582\) −262.028 1822.45i −0.0186623 0.129799i
\(583\) 12491.2 + 3667.74i 0.887361 + 0.260553i
\(584\) 5723.89 3678.52i 0.405576 0.260648i
\(585\) 958.170 6664.22i 0.0677187 0.470994i
\(586\) 5057.74 11074.9i 0.356542 0.780718i
\(587\) −9841.59 + 21550.1i −0.692003 + 1.51528i 0.157402 + 0.987535i \(0.449688\pi\)
−0.849405 + 0.527741i \(0.823039\pi\)
\(588\) 1297.24 9022.50i 0.0909818 0.632792i
\(589\) −5678.49 + 3649.34i −0.397246 + 0.255295i
\(590\) −30860.9 9061.59i −2.15343 0.632305i
\(591\) 457.534 + 3182.22i 0.0318451 + 0.221487i
\(592\) −910.955 1051.30i −0.0632433 0.0729866i
\(593\) 1383.89 + 889.372i 0.0958340 + 0.0615888i 0.587680 0.809093i \(-0.300041\pi\)
−0.491846 + 0.870682i \(0.663678\pi\)
\(594\) 5718.47 6599.46i 0.395002 0.455857i
\(595\) 4859.14 1426.77i 0.334799 0.0983058i
\(596\) 2677.26 + 5862.37i 0.184001 + 0.402906i
\(597\) 15555.0 1.06637
\(598\) −4526.65 + 6358.62i −0.309546 + 0.434821i
\(599\) 936.389 0.0638728 0.0319364 0.999490i \(-0.489833\pi\)
0.0319364 + 0.999490i \(0.489833\pi\)
\(600\) 4178.28 + 9149.15i 0.284296 + 0.622521i
\(601\) 5721.66 1680.03i 0.388338 0.114026i −0.0817343 0.996654i \(-0.526046\pi\)
0.470073 + 0.882628i \(0.344228\pi\)
\(602\) 5464.07 6305.87i 0.369932 0.426924i
\(603\) 354.430 + 227.778i 0.0239361 + 0.0153828i
\(604\) −1498.99 1729.93i −0.100982 0.116539i
\(605\) 1504.28 + 10462.5i 0.101087 + 0.703077i
\(606\) −2644.89 776.611i −0.177296 0.0520589i
\(607\) −6020.92 + 3869.41i −0.402606 + 0.258739i −0.726237 0.687444i \(-0.758733\pi\)
0.323632 + 0.946183i \(0.395096\pi\)
\(608\) 287.410 1998.98i 0.0191711 0.133338i
\(609\) −14581.4 + 31928.7i −0.970225 + 2.12450i
\(610\) −3324.32 + 7279.24i −0.220652 + 0.483160i
\(611\) −168.449 + 1171.59i −0.0111534 + 0.0775736i
\(612\) 257.623 165.564i 0.0170160 0.0109355i
\(613\) −5818.08 1708.34i −0.383345 0.112560i 0.0843817 0.996434i \(-0.473108\pi\)
−0.467726 + 0.883873i \(0.654927\pi\)
\(614\) 1554.80 + 10813.9i 0.102193 + 0.710769i
\(615\) −2437.08 2812.54i −0.159793 0.184411i
\(616\) −5720.08 3676.07i −0.374137 0.240443i
\(617\) −4176.71 + 4820.18i −0.272525 + 0.314511i −0.875470 0.483272i \(-0.839448\pi\)
0.602945 + 0.797783i \(0.293994\pi\)
\(618\) 2316.45 680.170i 0.150778 0.0442726i
\(619\) 1527.65 + 3345.09i 0.0991946 + 0.217206i 0.952723 0.303841i \(-0.0982691\pi\)
−0.853528 + 0.521047i \(0.825542\pi\)
\(620\) −8803.21 −0.570234
\(621\) 799.290 16827.1i 0.0516496 1.08736i
\(622\) −8042.14 −0.518425
\(623\) −18173.2 39793.7i −1.16869 2.55907i
\(624\) 2288.51 671.967i 0.146817 0.0431093i
\(625\) −23652.6 + 27296.6i −1.51377 + 1.74698i
\(626\) 10411.8 + 6691.24i 0.664758 + 0.427214i
\(627\) 4978.14 + 5745.07i 0.317077 + 0.365927i
\(628\) −2036.60 14164.9i −0.129410 0.900063i
\(629\) 690.588 + 202.775i 0.0437767 + 0.0128540i
\(630\) 9518.62 6117.25i 0.601954 0.386852i
\(631\) −1525.40 + 10609.4i −0.0962367 + 0.669341i 0.883408 + 0.468604i \(0.155243\pi\)
−0.979645 + 0.200737i \(0.935666\pi\)
\(632\) 568.686 1245.25i 0.0357929 0.0783755i
\(633\) −7972.11 + 17456.5i −0.500573 + 1.09610i
\(634\) 118.852 826.636i 0.00744516 0.0517822i
\(635\) −16999.2 + 10924.7i −1.06235 + 0.682733i
\(636\) −7363.66 2162.17i −0.459101 0.134804i
\(637\) −2723.35 18941.3i −0.169393 1.17815i
\(638\) 10492.3 + 12108.8i 0.651090 + 0.751398i
\(639\) −2320.73 1491.44i −0.143672 0.0923327i
\(640\) 1724.79 1990.51i 0.106528 0.122940i
\(641\) 23863.2 7006.87i 1.47042 0.431755i 0.554186 0.832393i \(-0.313030\pi\)
0.916236 + 0.400638i \(0.131212\pi\)
\(642\) −1087.10 2380.42i −0.0668295 0.146336i
\(643\) 12068.5 0.740180 0.370090 0.928996i \(-0.379327\pi\)
0.370090 + 0.928996i \(0.379327\pi\)
\(644\) −13057.7 + 1248.65i −0.798985 + 0.0764031i
\(645\) −12165.9 −0.742686
\(646\) 434.073 + 950.487i 0.0264371 + 0.0578892i
\(647\) 13224.6 3883.08i 0.803572 0.235950i 0.145944 0.989293i \(-0.453378\pi\)
0.657628 + 0.753343i \(0.271560\pi\)
\(648\) −2062.96 + 2380.78i −0.125063 + 0.144330i
\(649\) −18796.7 12079.9i −1.13688 0.730626i
\(650\) 13827.6 + 15957.9i 0.834407 + 0.962957i
\(651\) −1906.65 13261.0i −0.114789 0.798372i
\(652\) 8262.50 + 2426.09i 0.496295 + 0.145725i
\(653\) −14559.6 + 9356.85i −0.872526 + 0.560738i −0.898524 0.438924i \(-0.855360\pi\)
0.0259987 + 0.999662i \(0.491723\pi\)
\(654\) 1754.74 12204.5i 0.104917 0.729715i
\(655\) 17253.3 37779.5i 1.02923 2.25369i
\(656\) −285.314 + 624.751i −0.0169812 + 0.0371836i
\(657\) −1119.37 + 7785.38i −0.0664699 + 0.462308i
\(658\) −1673.40 + 1075.43i −0.0991430 + 0.0637153i
\(659\) −5163.43 1516.12i −0.305218 0.0896200i 0.125537 0.992089i \(-0.459935\pi\)
−0.430755 + 0.902469i \(0.641753\pi\)
\(660\) 1410.92 + 9813.18i 0.0832122 + 0.578754i
\(661\) 10705.1 + 12354.3i 0.629922 + 0.726969i 0.977559 0.210660i \(-0.0675613\pi\)
−0.347637 + 0.937629i \(0.613016\pi\)
\(662\) −13056.7 8391.03i −0.766560 0.492638i
\(663\) −808.144 + 932.648i −0.0473389 + 0.0546320i
\(664\) 3799.65 1115.68i 0.222071 0.0652059i
\(665\) 16038.1 + 35118.5i 0.935233 + 2.04787i
\(666\) 1608.08 0.0935611
\(667\) 30351.7 + 5845.55i 1.76195 + 0.339341i
\(668\) 6814.85 0.394722
\(669\) 2312.50 + 5063.66i 0.133642 + 0.292634i
\(670\) −1798.88 + 528.200i −0.103727 + 0.0304569i
\(671\) −3640.45 + 4201.31i −0.209446 + 0.241713i
\(672\) 3372.04 + 2167.08i 0.193570 + 0.124400i
\(673\) 4025.25 + 4645.39i 0.230553 + 0.266072i 0.859225 0.511599i \(-0.170947\pi\)
−0.628672 + 0.777671i \(0.716401\pi\)
\(674\) 1177.36 + 8188.72i 0.0672852 + 0.467979i
\(675\) −43727.2 12839.5i −2.49342 0.732134i
\(676\) −3180.61 + 2044.06i −0.180963 + 0.116298i
\(677\) 2202.39 15318.0i 0.125029 0.869598i −0.826696 0.562648i \(-0.809782\pi\)
0.951726 0.306950i \(-0.0993084\pi\)
\(678\) −4769.14 + 10443.0i −0.270144 + 0.591534i
\(679\) 2698.48 5908.85i 0.152516 0.333963i
\(680\) −193.939 + 1348.88i −0.0109371 + 0.0760692i
\(681\) 4129.90 2654.12i 0.232391 0.149348i
\(682\) −5867.72 1722.92i −0.329452 0.0967359i
\(683\) −201.570 1401.95i −0.0112926 0.0785420i 0.983396 0.181474i \(-0.0580868\pi\)
−0.994688 + 0.102932i \(0.967178\pi\)
\(684\) 1528.83 + 1764.36i 0.0854623 + 0.0986288i
\(685\) −37050.6 23811.0i −2.06662 1.32813i
\(686\) 7704.32 8891.26i 0.428793 0.494854i
\(687\) 2039.91 598.971i 0.113286 0.0332637i
\(688\) 932.711 + 2042.35i 0.0516850 + 0.113174i
\(689\) −16111.5 −0.890855
\(690\) 13843.8 + 13196.5i 0.763806 + 0.728090i
\(691\) −27869.6 −1.53431 −0.767157 0.641459i \(-0.778329\pi\)
−0.767157 + 0.641459i \(0.778329\pi\)
\(692\) −1764.72 3864.20i −0.0969430 0.212276i
\(693\) 7541.81 2214.47i 0.413405 0.121387i
\(694\) 15185.3 17524.7i 0.830583 0.958544i
\(695\) 23888.3 + 15352.1i 1.30379 + 0.837895i
\(696\) −6185.33 7138.25i −0.336860 0.388757i
\(697\) −50.5732 351.744i −0.00274835 0.0191152i
\(698\) 15338.9 + 4503.90i 0.831784 + 0.244234i
\(699\) 18049.0 11599.4i 0.976645 0.627652i
\(700\) −5050.15 + 35124.6i −0.272682 + 1.89655i
\(701\) −9365.48 + 20507.5i −0.504607 + 1.10493i 0.470338 + 0.882486i \(0.344132\pi\)
−0.974945 + 0.222448i \(0.928595\pi\)
\(702\) −4489.39 + 9830.39i −0.241369 + 0.528524i
\(703\) −780.872 + 5431.08i −0.0418935 + 0.291376i
\(704\) 1539.22 989.194i 0.0824026 0.0529569i
\(705\) 2782.87 + 817.125i 0.148665 + 0.0436521i
\(706\) −1216.86 8463.45i −0.0648685 0.451170i
\(707\) −6368.75 7349.93i −0.338786 0.390980i
\(708\) 11080.8 + 7121.20i 0.588195 + 0.378010i
\(709\) −6909.28 + 7973.74i −0.365985 + 0.422370i −0.908636 0.417589i \(-0.862875\pi\)
0.542651 + 0.839958i \(0.317421\pi\)
\(710\) 11778.7 3458.54i 0.622602 0.182812i
\(711\) 657.402 + 1439.51i 0.0346758 + 0.0759294i
\(712\) 11771.9 0.619622
\(713\) −10952.0 + 4386.23i −0.575252 + 0.230387i
\(714\) −2073.93 −0.108704
\(715\) 8646.07 + 18932.3i 0.452230 + 0.990246i
\(716\) 8889.62 2610.23i 0.463995 0.136241i
\(717\) −108.148 + 124.809i −0.00563299 + 0.00650082i
\(718\) 1157.36 + 743.788i 0.0601562 + 0.0386600i
\(719\) 14855.5 + 17144.1i 0.770537 + 0.889247i 0.996388 0.0849149i \(-0.0270618\pi\)
−0.225851 + 0.974162i \(0.572516\pi\)
\(720\) 433.306 + 3013.71i 0.0224283 + 0.155992i
\(721\) 8172.61 + 2399.70i 0.422141 + 0.123952i
\(722\) 4839.01 3109.84i 0.249431 0.160300i
\(723\) −2149.80 + 14952.2i −0.110584 + 0.769127i
\(724\) 3195.13 6996.36i 0.164014 0.359141i
\(725\) 34736.4 76062.0i 1.77942 3.89638i
\(726\) 616.037 4284.63i 0.0314921 0.219032i
\(727\) 13251.7 8516.33i 0.676034 0.434461i −0.157062 0.987589i \(-0.550202\pi\)
0.833096 + 0.553128i \(0.186566\pi\)
\(728\) 8074.05 + 2370.75i 0.411050 + 0.120695i
\(729\) −2990.81 20801.6i −0.151949 1.05683i
\(730\) −22920.8 26452.0i −1.16211 1.34114i
\(731\) −977.284 628.062i −0.0494475 0.0317780i
\(732\) 2146.08 2476.71i 0.108363 0.125057i
\(733\) −5127.98 + 1505.71i −0.258399 + 0.0758727i −0.408366 0.912818i \(-0.633901\pi\)
0.149967 + 0.988691i \(0.452083\pi\)
\(734\) −1499.93 3284.39i −0.0754270 0.165162i
\(735\) −46890.7 −2.35318
\(736\) 1154.01 3335.76i 0.0577954 0.167062i
\(737\) −1302.41 −0.0650948
\(738\) −329.824 722.214i −0.0164512 0.0360231i
\(739\) 4659.38 1368.12i 0.231933 0.0681016i −0.163701 0.986510i \(-0.552343\pi\)
0.395634 + 0.918408i \(0.370525\pi\)
\(740\) −4686.12 + 5408.07i −0.232791 + 0.268655i
\(741\) −7914.42 5086.29i −0.392366 0.252159i
\(742\) −17731.3 20463.0i −0.877271 1.01242i
\(743\) −2633.30 18315.0i −0.130022 0.904325i −0.945520 0.325564i \(-0.894446\pi\)
0.815498 0.578760i \(-0.196463\pi\)
\(744\) 3459.07 + 1015.68i 0.170451 + 0.0500490i
\(745\) 27890.2 17923.9i 1.37157 0.881452i
\(746\) 2937.92 20433.7i 0.144189 1.00285i
\(747\) −1901.70 + 4164.15i −0.0931454 + 0.203960i
\(748\) −393.264 + 861.128i −0.0192235 + 0.0420935i
\(749\) 1313.95 9138.70i 0.0640995 0.445822i
\(750\) 25293.6 16255.2i 1.23146 0.791409i
\(751\) 6638.03 + 1949.10i 0.322537 + 0.0947054i 0.438993 0.898490i \(-0.355335\pi\)
−0.116456 + 0.993196i \(0.537153\pi\)
\(752\) −76.1766 529.820i −0.00369398 0.0256922i
\(753\) 9913.82 + 11441.2i 0.479787 + 0.553704i
\(754\) −16681.1 10720.3i −0.805689 0.517785i
\(755\) −7711.09 + 8899.07i −0.371702 + 0.428967i
\(756\) −17426.2 + 5116.78i −0.838338 + 0.246158i
\(757\) 8176.04 + 17903.0i 0.392554 + 0.859573i 0.997971 + 0.0636652i \(0.0202790\pi\)
−0.605417 + 0.795908i \(0.706994\pi\)
\(758\) −14781.1 −0.708275
\(759\) 6644.77 + 11505.5i 0.317773 + 0.550227i
\(760\) −10388.9 −0.495847
\(761\) 1672.29 + 3661.81i 0.0796590 + 0.174429i 0.945271 0.326287i \(-0.105797\pi\)
−0.865612 + 0.500716i \(0.833070\pi\)
\(762\) 7940.01 2331.40i 0.377476 0.110837i
\(763\) 28487.3 32876.1i 1.35165 1.55989i
\(764\) −2847.38 1829.90i −0.134836 0.0866539i
\(765\) −1031.63 1190.56i −0.0487563 0.0562678i
\(766\) 2261.75 + 15730.8i 0.106684 + 0.742007i
\(767\) 26532.0 + 7790.50i 1.24904 + 0.366752i
\(768\) −907.382 + 583.139i −0.0426333 + 0.0273987i
\(769\) 2095.96 14577.7i 0.0982863 0.683596i −0.879792 0.475359i \(-0.842318\pi\)
0.978078 0.208237i \(-0.0667727\pi\)
\(770\) −14530.3 + 31816.9i −0.680045 + 1.48909i
\(771\) 2865.28 6274.09i 0.133840 0.293069i
\(772\) −1211.96 + 8429.34i −0.0565016 + 0.392977i
\(773\) 16472.5 10586.3i 0.766463 0.492576i −0.0980529 0.995181i \(-0.531261\pi\)
0.864516 + 0.502605i \(0.167625\pi\)
\(774\) −2490.38 731.241i −0.115652 0.0339585i
\(775\) 4542.10 + 31591.0i 0.210525 + 1.46423i
\(776\) 1144.68 + 1321.03i 0.0529531 + 0.0611111i
\(777\) −9161.59 5887.79i −0.422999 0.271845i
\(778\) −16501.6 + 19043.9i −0.760427 + 0.877580i
\(779\) 2599.35 763.238i 0.119552 0.0351038i
\(780\) −5096.94 11160.7i −0.233974 0.512332i
\(781\) 8527.91 0.390720
\(782\) 430.806 + 1774.76i 0.0197002 + 0.0811574i
\(783\) 42796.5 1.95328
\(784\) 3594.92 + 7871.77i 0.163763 + 0.358590i
\(785\) −70634.0 + 20740.0i −3.21151 + 0.942985i
\(786\) −11138.2 + 12854.2i −0.505455 + 0.583327i
\(787\) 7199.90 + 4627.09i 0.326110 + 0.209578i 0.693443 0.720511i \(-0.256093\pi\)
−0.367333 + 0.930089i \(0.619729\pi\)
\(788\) −1998.75 2306.68i −0.0903586 0.104279i
\(789\) 2830.69 + 19687.9i 0.127725 + 0.888347i
\(790\) −6756.91 1984.01i −0.304304 0.0893517i
\(791\) −34074.1 + 21898.1i −1.53165 + 0.984331i
\(792\) −301.010 + 2093.57i −0.0135050 + 0.0939291i
\(793\) 2858.01 6258.16i 0.127983 0.280244i
\(794\) 1878.91 4114.24i 0.0839800 0.183890i
\(795\) −5618.48 + 39077.4i −0.250650 + 1.74331i
\(796\) −12423.2 + 7983.91i −0.553177 + 0.355505i
\(797\) 5351.92 + 1571.47i 0.237860 + 0.0698421i 0.398490 0.917173i \(-0.369534\pi\)
−0.160630 + 0.987015i \(0.551352\pi\)
\(798\) −2250.08 15649.6i −0.0998144 0.694224i
\(799\) 181.363 + 209.304i 0.00803025 + 0.00926741i
\(800\) −8033.02 5162.51i −0.355013 0.228153i
\(801\) −8911.56 + 10284.5i −0.393102 + 0.453664i
\(802\) −13231.4 + 3885.08i −0.582564 + 0.171056i
\(803\) −10100.7 22117.3i −0.443891 0.971985i
\(804\) 767.782 0.0336786
\(805\) 15917.4 + 65573.5i 0.696911 + 2.87101i
\(806\) 7568.36 0.330749
\(807\) −12860.4 28160.3i −0.560975 1.22836i
\(808\) 2510.99 737.293i 0.109327 0.0321013i
\(809\) 1738.33 2006.13i 0.0755455 0.0871841i −0.716719 0.697362i \(-0.754357\pi\)
0.792264 + 0.610178i \(0.208902\pi\)
\(810\) 13632.8 + 8761.26i 0.591367 + 0.380049i
\(811\) 226.419 + 261.301i 0.00980349 + 0.0113138i 0.760630 0.649185i \(-0.224890\pi\)
−0.750827 + 0.660499i \(0.770345\pi\)
\(812\) −4742.45 32984.5i −0.204960 1.42553i
\(813\) −24072.7 7068.39i −1.03846 0.304919i
\(814\) −4181.94 + 2687.57i −0.180070 + 0.115724i
\(815\) 6304.29 43847.3i 0.270957 1.88455i
\(816\) 231.833 507.643i 0.00994579 0.0217782i
\(817\) 3678.99 8055.86i 0.157542 0.344968i
\(818\) 2335.97 16247.0i 0.0998474 0.694454i
\(819\) −8183.42 + 5259.17i −0.349148 + 0.224384i
\(820\) 3390.00 + 995.394i 0.144371 + 0.0423911i
\(821\) 4093.80 + 28473.0i 0.174025 + 1.21037i 0.870273 + 0.492570i \(0.163943\pi\)
−0.696247 + 0.717802i \(0.745148\pi\)
\(822\) 11811.2 + 13630.9i 0.501172 + 0.578384i
\(823\) 5091.13 + 3271.87i 0.215633 + 0.138579i 0.643999 0.765027i \(-0.277274\pi\)
−0.428366 + 0.903605i \(0.640911\pi\)
\(824\) −1500.95 + 1732.19i −0.0634563 + 0.0732325i
\(825\) 34487.4 10126.4i 1.45539 0.427341i
\(826\) 19304.8 + 42271.6i 0.813196 + 1.78065i
\(827\) −23448.0 −0.985935 −0.492968 0.870048i \(-0.664088\pi\)
−0.492968 + 0.870048i \(0.664088\pi\)
\(828\) 2040.67 + 3533.43i 0.0856498 + 0.148303i
\(829\) −24260.2 −1.01640 −0.508198 0.861240i \(-0.669688\pi\)
−0.508198 + 0.861240i \(0.669688\pi\)
\(830\) −8462.54 18530.4i −0.353902 0.774938i
\(831\) −7070.79 + 2076.17i −0.295166 + 0.0866686i
\(832\) −1482.85 + 1711.30i −0.0617890 + 0.0713083i
\(833\) −3766.71 2420.72i −0.156673 0.100688i
\(834\) −7615.25 8788.47i −0.316180 0.364892i
\(835\) −4989.11 34700.0i −0.206773 1.43814i
\(836\) −6924.62 2033.25i −0.286475 0.0841166i
\(837\) −13741.7 + 8831.22i −0.567480 + 0.364697i
\(838\) −2866.65 + 19938.0i −0.118170 + 0.821892i
\(839\) −4446.37 + 9736.20i −0.182963 + 0.400633i −0.978783 0.204901i \(-0.934313\pi\)
0.795820 + 0.605533i \(0.207040\pi\)
\(840\) 8565.73 18756.3i 0.351840 0.770423i
\(841\) −7704.17 + 53583.7i −0.315887 + 2.19704i
\(842\) 20890.3 13425.4i 0.855020 0.549488i
\(843\) −6859.64 2014.17i −0.280259 0.0822915i
\(844\) −2592.85 18033.7i −0.105746 0.735480i
\(845\) 12736.5 + 14698.7i 0.518519 + 0.598403i
\(846\) 520.543 + 334.533i 0.0211544 + 0.0135951i
\(847\) 10001.0 11541.8i 0.405713 0.468218i
\(848\) 6990.85 2052.70i 0.283098 0.0831250i
\(849\) −1405.17 3076.89i −0.0568024 0.124380i
\(850\) 4940.61 0.199367
\(851\) −3135.36 + 9063.01i −0.126297 + 0.365072i
\(852\) −5027.28 −0.202150
\(853\) 7749.97 + 16970.1i 0.311083 + 0.681177i 0.999005 0.0446080i \(-0.0142039\pi\)
−0.687921 + 0.725785i \(0.741477\pi\)
\(854\) 11093.7 3257.41i 0.444520 0.130523i
\(855\) 7864.58 9076.20i 0.314576 0.363040i
\(856\) 2090.03 + 1343.18i 0.0834529 + 0.0536319i
\(857\) −14119.5 16294.8i −0.562791 0.649496i 0.401024 0.916068i \(-0.368655\pi\)
−0.963815 + 0.266572i \(0.914109\pi\)
\(858\) −1213.01 8436.66i −0.0482651 0.335691i
\(859\) 4036.61 + 1185.26i 0.160334 + 0.0470784i 0.360915 0.932599i \(-0.382465\pi\)
−0.200580 + 0.979677i \(0.564283\pi\)
\(860\) 9716.46 6244.39i 0.385266 0.247595i
\(861\) −765.222 + 5322.24i −0.0302888 + 0.210664i
\(862\) −4215.57 + 9230.82i −0.166570 + 0.364737i
\(863\) −11983.3 + 26239.7i −0.472671 + 1.03501i 0.511743 + 0.859139i \(0.329000\pi\)
−0.984414 + 0.175867i \(0.943727\pi\)
\(864\) 695.517 4837.43i 0.0273865 0.190478i
\(865\) −18383.9 + 11814.6i −0.722625 + 0.464403i
\(866\) 6635.30 + 1948.30i 0.260365 + 0.0764502i
\(867\) −2904.82 20203.5i −0.113787 0.791403i
\(868\) 8329.25 + 9612.46i 0.325706 + 0.375885i
\(869\) −4115.47 2644.85i −0.160653 0.103246i
\(870\) −31818.5 + 36720.5i −1.23994 + 1.43097i
\(871\) 1546.55 454.108i 0.0601640 0.0176657i
\(872\) 4862.75 + 10647.9i 0.188846 + 0.413515i
\(873\) −2020.66 −0.0783379
\(874\) −12924.7 + 5176.29i −0.500210 + 0.200333i
\(875\) 106077. 4.09837
\(876\) 5954.43 + 13038.4i 0.229659 + 0.502884i
\(877\) 4985.87 1463.98i 0.191974 0.0563685i −0.184332 0.982864i \(-0.559012\pi\)
0.376306 + 0.926495i \(0.377194\pi\)
\(878\) −17113.8 + 19750.4i −0.657816 + 0.759160i
\(879\) 21577.2 + 13866.8i 0.827965 + 0.532101i
\(880\) −6163.65 7113.24i −0.236110 0.272485i
\(881\) −5312.91 36952.1i −0.203174 1.41311i −0.794788 0.606887i \(-0.792418\pi\)
0.591614 0.806221i \(-0.298491\pi\)
\(882\) −9598.58 2818.40i −0.366441 0.107597i
\(883\) −14077.2 + 9046.89i −0.536508 + 0.344793i −0.780672 0.624941i \(-0.785123\pi\)
0.244164 + 0.969734i \(0.421487\pi\)
\(884\) 166.735 1159.67i 0.00634378 0.0441220i
\(885\) 28147.7 61634.9i 1.06912 2.34105i
\(886\) −7535.90 + 16501.3i −0.285749 + 0.625703i
\(887\) 4514.49 31399.0i 0.170893 1.18858i −0.706112 0.708101i \(-0.749552\pi\)
0.877004 0.480483i \(-0.159539\pi\)
\(888\) 2465.29 1584.35i 0.0931642 0.0598730i
\(889\) 28013.0 + 8225.37i 1.05684 + 0.310315i
\(890\) −8618.13 59940.4i −0.324585 2.25754i
\(891\) 7372.13 + 8507.89i 0.277189 + 0.319894i
\(892\) −4445.93 2857.22i −0.166884 0.107250i
\(893\) −1382.62 + 1595.63i −0.0518113 + 0.0597935i
\(894\) −13027.0 + 3825.06i −0.487345 + 0.143097i
\(895\) −19798.9 43353.4i −0.739444 1.61916i
\(896\) −3805.42 −0.141886
\(897\) −11901.9 11345.4i −0.443026 0.422310i
\(898\) 9153.05 0.340135
\(899\) −12450.5 27262.8i −0.461899 1.01142i
\(900\) 10591.4 3109.91i 0.392273 0.115182i
\(901\) −2468.69 + 2849.02i −0.0912808 + 0.105344i
\(902\) 2064.77 + 1326.95i 0.0762187 + 0.0489828i
\(903\) 11510.9 + 13284.3i 0.424207 + 0.489561i
\(904\) −1551.12 10788.3i −0.0570679 0.396916i
\(905\) −37963.4 11147.1i −1.39442 0.409437i
\(906\) 4056.68 2607.07i 0.148757 0.0956005i
\(907\) −6979.47 + 48543.3i −0.255512 + 1.77713i 0.308365 + 0.951268i \(0.400218\pi\)
−0.563877 + 0.825859i \(0.690691\pi\)
\(908\) −1936.11 + 4239.50i −0.0707624 + 0.154948i
\(909\) −1256.74 + 2751.87i −0.0458562 + 0.100411i
\(910\) 6160.50 42847.2i 0.224416 1.56085i
\(911\) 36349.3 23360.3i 1.32196 0.849572i 0.326541 0.945183i \(-0.394117\pi\)
0.995419 + 0.0956109i \(0.0304805\pi\)
\(912\) 4082.13 + 1198.62i 0.148216 + 0.0435201i
\(913\) −2013.98 14007.5i −0.0730044 0.507756i
\(914\) 22766.1 + 26273.5i 0.823891 + 0.950820i
\(915\) −14182.1 9114.28i −0.512400 0.329299i
\(916\) −1321.76 + 1525.40i −0.0476772 + 0.0550225i
\(917\) −57576.9 + 16906.1i −2.07345 + 0.608821i
\(918\) 1050.43 + 2300.13i 0.0377663 + 0.0826967i
\(919\) 21740.0 0.780343 0.390171 0.920742i \(-0.372416\pi\)
0.390171 + 0.920742i \(0.372416\pi\)
\(920\) −17829.9 3433.93i −0.638951 0.123058i
\(921\) −23015.4 −0.823433
\(922\) 5155.93 + 11289.9i 0.184167 + 0.403268i
\(923\) −10126.5 + 2973.40i −0.361124 + 0.106036i
\(924\) 9380.32 10825.5i 0.333972 0.385424i
\(925\) 21825.1 + 14026.2i 0.775790 + 0.498570i
\(926\) −1456.97 1681.43i −0.0517052 0.0596710i
\(927\) −377.073 2622.60i −0.0133600 0.0929207i
\(928\) 8603.84 + 2526.31i 0.304348 + 0.0893646i
\(929\) 15716.5 10100.4i 0.555051 0.356710i −0.232849 0.972513i \(-0.574805\pi\)
0.787900 + 0.615803i \(0.211168\pi\)
\(930\) 2639.27 18356.6i 0.0930594 0.647242i
\(931\) 14179.8 31049.4i 0.499167 1.09302i
\(932\) −8461.44 + 18528.0i −0.297386 + 0.651185i
\(933\) 2411.10 16769.6i 0.0846044 0.588436i
\(934\) 22491.2 14454.2i 0.787938 0.506377i
\(935\) 4672.62 + 1372.00i 0.163434 + 0.0479886i
\(936\) −372.525 2590.97i −0.0130089 0.0904792i
\(937\) −29586.0 34144.1i −1.03152 1.19044i −0.981456 0.191689i \(-0.938603\pi\)
−0.0500622 0.998746i \(-0.515942\pi\)
\(938\) 2278.79 + 1464.49i 0.0793231 + 0.0509778i
\(939\) −17074.2 + 19704.7i −0.593392 + 0.684811i
\(940\) −2641.98 + 775.756i −0.0916723 + 0.0269174i
\(941\) 349.692 + 765.718i 0.0121144 + 0.0265268i 0.915592 0.402107i \(-0.131722\pi\)
−0.903478 + 0.428634i \(0.858995\pi\)
\(942\) 30147.3 1.04273
\(943\) 4713.43 450.722i 0.162768 0.0155647i
\(944\) −12504.9 −0.431144
\(945\) 38811.3 + 84985.0i 1.33601 + 2.92546i
\(946\) 7698.56 2260.50i 0.264590 0.0776905i
\(947\) 33.8001 39.0074i 0.00115983 0.00133851i −0.755169 0.655530i \(-0.772445\pi\)
0.756329 + 0.654191i \(0.226991\pi\)
\(948\) 2426.11 + 1559.17i 0.0831185 + 0.0534170i
\(949\) 19705.6 + 22741.5i 0.674049 + 0.777894i
\(950\) 5360.23 + 37281.2i 0.183062 + 1.27322i
\(951\) 1688.08 + 495.665i 0.0575602 + 0.0169012i
\(952\) 1656.37 1064.49i 0.0563901 0.0362397i
\(953\) 3874.91 26950.6i 0.131711 0.916070i −0.811613 0.584196i \(-0.801410\pi\)
0.943324 0.331874i \(-0.107681\pi\)
\(954\) −3498.88 + 7661.48i −0.118743 + 0.260010i
\(955\) −7232.99 + 15838.0i −0.245083 + 0.536656i
\(956\) 22.3129 155.189i 0.000754864 0.00525019i
\(957\) −28395.1 + 18248.4i −0.959126 + 0.616393i
\(958\) 31851.6 + 9352.46i 1.07419 + 0.315412i
\(959\) 9055.97 + 62985.6i 0.304935 + 2.12087i
\(960\) 3633.53 + 4193.32i 0.122158 + 0.140978i
\(961\) −15438.2 9921.54i −0.518218 0.333038i
\(962\) 4028.79 4649.47i 0.135024 0.155826i
\(963\) −2755.66 + 809.134i −0.0922117 + 0.0270758i
\(964\) −5957.54 13045.2i −0.199045 0.435848i
\(965\) 43808.0 1.46138
\(966\) 1311.12 27602.5i 0.0436694 0.919353i
\(967\) −51178.6 −1.70196 −0.850979 0.525199i \(-0.823991\pi\)
−0.850979 + 0.525199i \(0.823991\pi\)
\(968\) 1707.16 + 3738.17i 0.0566842 + 0.124121i
\(969\) −2112.11 + 620.170i −0.0700213 + 0.0205601i
\(970\) 5888.44 6795.62i 0.194914 0.224943i
\(971\) −32816.2 21089.7i −1.08457 0.697013i −0.128964 0.991649i \(-0.541165\pi\)
−0.955609 + 0.294636i \(0.904801\pi\)
\(972\) 6455.47 + 7450.01i 0.213024 + 0.245843i
\(973\) −5838.81 40609.8i −0.192378 1.33802i
\(974\) 23046.0 + 6766.90i 0.758152 + 0.222614i
\(975\) −37421.4 + 24049.2i −1.22917 + 0.789941i
\(976\) −442.776 + 3079.57i −0.0145214 + 0.100999i
\(977\) 9762.78 21377.5i 0.319692 0.700028i −0.679750 0.733444i \(-0.737912\pi\)
0.999442 + 0.0334165i \(0.0106388\pi\)
\(978\) −7536.08 + 16501.7i −0.246398 + 0.539536i
\(979\) 5986.87 41639.6i 0.195445 1.35935i
\(980\) 37449.8 24067.6i 1.22071 0.784500i
\(981\) −12983.7 3812.37i −0.422568 0.124077i
\(982\) 1843.84 + 12824.2i 0.0599179 + 0.416738i
\(983\) 30611.9 + 35328.0i 0.993253 + 1.14627i 0.989243 + 0.146283i \(0.0467310\pi\)
0.00401011 + 0.999992i \(0.498724\pi\)
\(984\) −1217.20 782.247i −0.0394339 0.0253426i
\(985\) −10281.9 + 11866.0i −0.332599 + 0.383840i
\(986\) −4451.65 + 1307.12i −0.143782 + 0.0422183i
\(987\) −1740.80 3811.83i −0.0561402 0.122930i
\(988\) 8931.59 0.287603
\(989\) 8976.86 12609.9i 0.288622 0.405430i
\(990\) 10880.5 0.349297
\(991\) −11518.7 25222.4i −0.369226 0.808491i −0.999484 0.0321063i \(-0.989779\pi\)
0.630259 0.776385i \(-0.282949\pi\)
\(992\) −3283.95 + 964.254i −0.105106 + 0.0308620i
\(993\) 21411.6 24710.3i 0.684266 0.789685i
\(994\) −14921.0 9589.16i −0.476123 0.305986i
\(995\) 49747.6 + 57411.8i 1.58503 + 1.82922i
\(996\) 1187.26 + 8257.57i 0.0377708 + 0.262702i
\(997\) −51182.7 15028.6i −1.62585 0.477392i −0.663267 0.748383i \(-0.730830\pi\)
−0.962582 + 0.270991i \(0.912649\pi\)
\(998\) −32033.9 + 20586.9i −1.01605 + 0.652973i
\(999\) −1889.67 + 13142.9i −0.0598464 + 0.416241i
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 46.4.c.b.27.3 30
23.6 even 11 inner 46.4.c.b.29.3 yes 30
23.11 odd 22 1058.4.a.t.1.5 15
23.12 even 11 1058.4.a.u.1.5 15
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
46.4.c.b.27.3 30 1.1 even 1 trivial
46.4.c.b.29.3 yes 30 23.6 even 11 inner
1058.4.a.t.1.5 15 23.11 odd 22
1058.4.a.u.1.5 15 23.12 even 11