Properties

Label 930.2.bn.b.49.2
Level $930$
Weight $2$
Character 930.49
Analytic conductor $7.426$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [930,2,Mod(19,930)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(930, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([0, 15, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("930.19");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.bn (of order \(30\), degree \(8\), 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: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(18\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 49.2
Character \(\chi\) \(=\) 930.49
Dual form 930.2.bn.b.19.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.587785 - 0.809017i) q^{2} +(-0.406737 - 0.913545i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(-1.39553 - 1.74714i) q^{5} +(-0.500000 + 0.866025i) q^{6} +(1.99915 - 1.80004i) q^{7} +(0.951057 - 0.309017i) q^{8} +(-0.669131 + 0.743145i) q^{9} +O(q^{10})\) \(q+(-0.587785 - 0.809017i) q^{2} +(-0.406737 - 0.913545i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(-1.39553 - 1.74714i) q^{5} +(-0.500000 + 0.866025i) q^{6} +(1.99915 - 1.80004i) q^{7} +(0.951057 - 0.309017i) q^{8} +(-0.669131 + 0.743145i) q^{9} +(-0.593198 + 2.15595i) q^{10} +(2.18694 - 0.464849i) q^{11} +(0.994522 - 0.104528i) q^{12} +(6.18846 + 0.650433i) q^{13} +(-2.63134 - 0.559308i) q^{14} +(-1.02848 + 1.98550i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(0.966552 - 4.54727i) q^{17} +(0.994522 + 0.104528i) q^{18} +(0.107482 + 1.02262i) q^{19} +(2.09287 - 0.787328i) q^{20} +(-2.45755 - 1.09417i) q^{21} +(-1.66152 - 1.49604i) q^{22} +(5.07160 - 1.64786i) q^{23} +(-0.669131 - 0.743145i) q^{24} +(-1.10501 + 4.87637i) q^{25} +(-3.11127 - 5.38888i) q^{26} +(0.951057 + 0.309017i) q^{27} +(1.09417 + 2.45755i) q^{28} +(-1.01677 + 0.738726i) q^{29} +(2.21083 - 0.334990i) q^{30} +(-2.26830 - 5.08476i) q^{31} +1.00000i q^{32} +(-1.31417 - 1.80880i) q^{33} +(-4.24695 + 1.89086i) q^{34} +(-5.93480 - 0.980792i) q^{35} +(-0.500000 - 0.866025i) q^{36} +(4.21386 + 2.43287i) q^{37} +(0.764144 - 0.688039i) q^{38} +(-1.92287 - 5.91799i) q^{39} +(-1.86712 - 1.23039i) q^{40} +(-4.73221 - 2.10691i) q^{41} +(0.559308 + 2.63134i) q^{42} +(-4.16692 + 0.437961i) q^{43} +(-0.233705 + 2.22355i) q^{44} +(2.23217 + 0.131988i) q^{45} +(-4.31416 - 3.13442i) q^{46} +(-1.08223 + 1.48956i) q^{47} +(-0.207912 + 0.978148i) q^{48} +(0.0247479 - 0.235460i) q^{49} +(4.59457 - 1.97228i) q^{50} +(-4.54727 + 0.966552i) q^{51} +(-2.53094 + 5.68458i) q^{52} +(-8.11750 - 7.30903i) q^{53} +(-0.309017 - 0.951057i) q^{54} +(-3.86410 - 3.17219i) q^{55} +(1.34506 - 2.32971i) q^{56} +(0.890497 - 0.514129i) q^{57} +(1.19528 + 0.388371i) q^{58} +(-4.91747 + 2.18940i) q^{59} +(-1.57051 - 1.59170i) q^{60} +7.29862 q^{61} +(-2.78039 + 4.82384i) q^{62} +2.69012i q^{63} +(0.809017 - 0.587785i) q^{64} +(-7.49976 - 11.7198i) q^{65} +(-0.690901 + 2.12637i) q^{66} +(2.45697 - 1.41853i) q^{67} +(4.02603 + 2.32443i) q^{68} +(-3.56821 - 3.96289i) q^{69} +(2.69491 + 5.37785i) q^{70} +(0.744274 - 0.826600i) q^{71} +(-0.406737 + 0.913545i) q^{72} +(-0.265023 - 1.24683i) q^{73} +(-0.508609 - 4.83909i) q^{74} +(4.90423 - 0.973919i) q^{75} +(-1.00579 - 0.213787i) q^{76} +(3.53528 - 4.86590i) q^{77} +(-3.65752 + 5.03414i) q^{78} +(1.42766 + 0.303459i) q^{79} +(0.102060 + 2.23374i) q^{80} +(-0.104528 - 0.994522i) q^{81} +(1.07699 + 5.06685i) q^{82} +(2.99758 - 6.73268i) q^{83} +(1.80004 - 1.99915i) q^{84} +(-9.29358 + 4.65713i) q^{85} +(2.80357 + 3.11368i) q^{86} +(1.08842 + 0.628398i) q^{87} +(1.93626 - 1.11790i) q^{88} +(-3.33425 + 10.2618i) q^{89} +(-1.20526 - 1.88344i) q^{90} +(13.5425 - 9.83918i) q^{91} +5.33260i q^{92} +(-3.72256 + 4.14035i) q^{93} +1.84120 q^{94} +(1.63668 - 1.61489i) q^{95} +(0.913545 - 0.406737i) q^{96} +(-16.5749 - 5.38551i) q^{97} +(-0.205038 + 0.118379i) q^{98} +(-1.11790 + 1.93626i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q + 36 q^{4} + 2 q^{5} - 72 q^{6} - 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 144 q + 36 q^{4} + 2 q^{5} - 72 q^{6} - 18 q^{9} - 18 q^{11} - 8 q^{14} - 36 q^{16} - 24 q^{19} - 2 q^{20} + 28 q^{21} - 18 q^{24} + 10 q^{25} - 12 q^{26} - 4 q^{30} - 4 q^{31} + 10 q^{34} - 2 q^{35} - 72 q^{36} + 16 q^{39} + 4 q^{41} - 2 q^{44} - 2 q^{45} - 2 q^{46} - 78 q^{49} + 32 q^{50} + 10 q^{51} + 36 q^{54} - 50 q^{55} - 12 q^{56} + 28 q^{59} + 88 q^{61} + 36 q^{64} - 124 q^{65} + 6 q^{66} - 46 q^{69} - 10 q^{70} + 140 q^{71} + 34 q^{74} - 32 q^{75} + 24 q^{76} + 16 q^{79} + 12 q^{80} + 18 q^{81} - 8 q^{84} + 74 q^{85} - 98 q^{86} + 148 q^{89} + 44 q^{91} - 108 q^{94} - 80 q^{95} + 18 q^{96} - 2 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{13}{15}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.587785 0.809017i −0.415627 0.572061i
\(3\) −0.406737 0.913545i −0.234830 0.527436i
\(4\) −0.309017 + 0.951057i −0.154508 + 0.475528i
\(5\) −1.39553 1.74714i −0.624098 0.781346i
\(6\) −0.500000 + 0.866025i −0.204124 + 0.353553i
\(7\) 1.99915 1.80004i 0.755608 0.680352i −0.198404 0.980120i \(-0.563576\pi\)
0.954012 + 0.299768i \(0.0969092\pi\)
\(8\) 0.951057 0.309017i 0.336249 0.109254i
\(9\) −0.669131 + 0.743145i −0.223044 + 0.247715i
\(10\) −0.593198 + 2.15595i −0.187586 + 0.681771i
\(11\) 2.18694 0.464849i 0.659389 0.140157i 0.133949 0.990988i \(-0.457234\pi\)
0.525440 + 0.850831i \(0.323901\pi\)
\(12\) 0.994522 0.104528i 0.287094 0.0301748i
\(13\) 6.18846 + 0.650433i 1.71637 + 0.180398i 0.911008 0.412388i \(-0.135305\pi\)
0.805361 + 0.592785i \(0.201972\pi\)
\(14\) −2.63134 0.559308i −0.703254 0.149481i
\(15\) −1.02848 + 1.98550i −0.265553 + 0.512655i
\(16\) −0.809017 0.587785i −0.202254 0.146946i
\(17\) 0.966552 4.54727i 0.234423 1.10288i −0.690680 0.723160i \(-0.742689\pi\)
0.925104 0.379715i \(-0.123978\pi\)
\(18\) 0.994522 + 0.104528i 0.234411 + 0.0246376i
\(19\) 0.107482 + 1.02262i 0.0246581 + 0.234606i 0.999909 + 0.0135043i \(0.00429868\pi\)
−0.975251 + 0.221102i \(0.929035\pi\)
\(20\) 2.09287 0.787328i 0.467980 0.176052i
\(21\) −2.45755 1.09417i −0.536281 0.238768i
\(22\) −1.66152 1.49604i −0.354238 0.318958i
\(23\) 5.07160 1.64786i 1.05750 0.343603i 0.271894 0.962327i \(-0.412350\pi\)
0.785609 + 0.618724i \(0.212350\pi\)
\(24\) −0.669131 0.743145i −0.136586 0.151694i
\(25\) −1.10501 + 4.87637i −0.221002 + 0.975273i
\(26\) −3.11127 5.38888i −0.610171 1.05685i
\(27\) 0.951057 + 0.309017i 0.183031 + 0.0594703i
\(28\) 1.09417 + 2.45755i 0.206779 + 0.464433i
\(29\) −1.01677 + 0.738726i −0.188809 + 0.137178i −0.678174 0.734901i \(-0.737229\pi\)
0.489365 + 0.872079i \(0.337229\pi\)
\(30\) 2.21083 0.334990i 0.403641 0.0611606i
\(31\) −2.26830 5.08476i −0.407398 0.913251i
\(32\) 1.00000i 0.176777i
\(33\) −1.31417 1.80880i −0.228768 0.314872i
\(34\) −4.24695 + 1.89086i −0.728345 + 0.324280i
\(35\) −5.93480 0.980792i −1.00316 0.165784i
\(36\) −0.500000 0.866025i −0.0833333 0.144338i
\(37\) 4.21386 + 2.43287i 0.692754 + 0.399962i 0.804643 0.593759i \(-0.202357\pi\)
−0.111889 + 0.993721i \(0.535690\pi\)
\(38\) 0.764144 0.688039i 0.123961 0.111615i
\(39\) −1.92287 5.91799i −0.307906 0.947637i
\(40\) −1.86712 1.23039i −0.295218 0.194542i
\(41\) −4.73221 2.10691i −0.739047 0.329045i 0.00245395 0.999997i \(-0.499219\pi\)
−0.741501 + 0.670952i \(0.765886\pi\)
\(42\) 0.559308 + 2.63134i 0.0863031 + 0.406024i
\(43\) −4.16692 + 0.437961i −0.635449 + 0.0667884i −0.416775 0.909010i \(-0.636840\pi\)
−0.218674 + 0.975798i \(0.570173\pi\)
\(44\) −0.233705 + 2.22355i −0.0352323 + 0.335213i
\(45\) 2.23217 + 0.131988i 0.332752 + 0.0196756i
\(46\) −4.31416 3.13442i −0.636089 0.462146i
\(47\) −1.08223 + 1.48956i −0.157859 + 0.217275i −0.880619 0.473824i \(-0.842873\pi\)
0.722760 + 0.691099i \(0.242873\pi\)
\(48\) −0.207912 + 0.978148i −0.0300095 + 0.141183i
\(49\) 0.0247479 0.235460i 0.00353541 0.0336372i
\(50\) 4.59457 1.97228i 0.649771 0.278923i
\(51\) −4.54727 + 0.966552i −0.636745 + 0.135344i
\(52\) −2.53094 + 5.68458i −0.350978 + 0.788309i
\(53\) −8.11750 7.30903i −1.11502 1.00397i −0.999944 0.0106161i \(-0.996621\pi\)
−0.115080 0.993356i \(-0.536713\pi\)
\(54\) −0.309017 0.951057i −0.0420519 0.129422i
\(55\) −3.86410 3.17219i −0.521035 0.427738i
\(56\) 1.34506 2.32971i 0.179741 0.311321i
\(57\) 0.890497 0.514129i 0.117949 0.0680980i
\(58\) 1.19528 + 0.388371i 0.156948 + 0.0509956i
\(59\) −4.91747 + 2.18940i −0.640200 + 0.285035i −0.701051 0.713112i \(-0.747285\pi\)
0.0608508 + 0.998147i \(0.480619\pi\)
\(60\) −1.57051 1.59170i −0.202752 0.205487i
\(61\) 7.29862 0.934493 0.467247 0.884127i \(-0.345246\pi\)
0.467247 + 0.884127i \(0.345246\pi\)
\(62\) −2.78039 + 4.82384i −0.353110 + 0.612628i
\(63\) 2.69012i 0.338924i
\(64\) 0.809017 0.587785i 0.101127 0.0734732i
\(65\) −7.49976 11.7198i −0.930230 1.45366i
\(66\) −0.690901 + 2.12637i −0.0850440 + 0.261739i
\(67\) 2.45697 1.41853i 0.300167 0.173301i −0.342351 0.939572i \(-0.611223\pi\)
0.642518 + 0.766271i \(0.277890\pi\)
\(68\) 4.02603 + 2.32443i 0.488228 + 0.281879i
\(69\) −3.56821 3.96289i −0.429562 0.477076i
\(70\) 2.69491 + 5.37785i 0.322103 + 0.642776i
\(71\) 0.744274 0.826600i 0.0883291 0.0980994i −0.697360 0.716721i \(-0.745642\pi\)
0.785689 + 0.618622i \(0.212309\pi\)
\(72\) −0.406737 + 0.913545i −0.0479344 + 0.107662i
\(73\) −0.265023 1.24683i −0.0310186 0.145931i 0.959913 0.280298i \(-0.0904332\pi\)
−0.990932 + 0.134367i \(0.957100\pi\)
\(74\) −0.508609 4.83909i −0.0591246 0.562533i
\(75\) 4.90423 0.973919i 0.566292 0.112458i
\(76\) −1.00579 0.213787i −0.115372 0.0245230i
\(77\) 3.53528 4.86590i 0.402883 0.554521i
\(78\) −3.65752 + 5.03414i −0.414133 + 0.570005i
\(79\) 1.42766 + 0.303459i 0.160625 + 0.0341418i 0.287522 0.957774i \(-0.407169\pi\)
−0.126897 + 0.991916i \(0.540502\pi\)
\(80\) 0.102060 + 2.23374i 0.0114107 + 0.249739i
\(81\) −0.104528 0.994522i −0.0116143 0.110502i
\(82\) 1.07699 + 5.06685i 0.118934 + 0.559540i
\(83\) 2.99758 6.73268i 0.329027 0.739008i −0.670969 0.741485i \(-0.734122\pi\)
0.999997 + 0.00247722i \(0.000788525\pi\)
\(84\) 1.80004 1.99915i 0.196401 0.218125i
\(85\) −9.29358 + 4.65713i −1.00803 + 0.505137i
\(86\) 2.80357 + 3.11368i 0.302317 + 0.335757i
\(87\) 1.08842 + 0.628398i 0.116691 + 0.0673713i
\(88\) 1.93626 1.11790i 0.206406 0.119169i
\(89\) −3.33425 + 10.2618i −0.353430 + 1.08775i 0.603484 + 0.797375i \(0.293779\pi\)
−0.956914 + 0.290371i \(0.906221\pi\)
\(90\) −1.20526 1.88344i −0.127045 0.198532i
\(91\) 13.5425 9.83918i 1.41964 1.03143i
\(92\) 5.33260i 0.555962i
\(93\) −3.72256 + 4.14035i −0.386012 + 0.429335i
\(94\) 1.84120 0.189905
\(95\) 1.63668 1.61489i 0.167919 0.165684i
\(96\) 0.913545 0.406737i 0.0932383 0.0415124i
\(97\) −16.5749 5.38551i −1.68293 0.546816i −0.697450 0.716633i \(-0.745682\pi\)
−0.985476 + 0.169817i \(0.945682\pi\)
\(98\) −0.205038 + 0.118379i −0.0207120 + 0.0119581i
\(99\) −1.11790 + 1.93626i −0.112353 + 0.194602i
\(100\) −4.29623 2.55781i −0.429623 0.255781i
\(101\) −3.66526 11.2805i −0.364707 1.12245i −0.950164 0.311749i \(-0.899085\pi\)
0.585458 0.810703i \(-0.300915\pi\)
\(102\) 3.45478 + 3.11069i 0.342074 + 0.308005i
\(103\) −5.37430 + 12.0709i −0.529546 + 1.18938i 0.428703 + 0.903445i \(0.358971\pi\)
−0.958249 + 0.285934i \(0.907696\pi\)
\(104\) 6.08657 1.29374i 0.596837 0.126862i
\(105\) 1.51790 + 5.82063i 0.148132 + 0.568036i
\(106\) −1.14178 + 10.8633i −0.110900 + 1.05514i
\(107\) 1.95079 9.17775i 0.188590 0.887247i −0.777468 0.628922i \(-0.783496\pi\)
0.966058 0.258325i \(-0.0831704\pi\)
\(108\) −0.587785 + 0.809017i −0.0565597 + 0.0778477i
\(109\) 9.15572 + 6.65202i 0.876959 + 0.637148i 0.932445 0.361311i \(-0.117671\pi\)
−0.0554859 + 0.998459i \(0.517671\pi\)
\(110\) −0.295099 + 4.99069i −0.0281366 + 0.475843i
\(111\) 0.508609 4.83909i 0.0482750 0.459306i
\(112\) −2.67539 + 0.281194i −0.252800 + 0.0265704i
\(113\) 1.66308 + 7.82417i 0.156449 + 0.736036i 0.984500 + 0.175383i \(0.0561164\pi\)
−0.828051 + 0.560653i \(0.810550\pi\)
\(114\) −0.939360 0.418230i −0.0879791 0.0391708i
\(115\) −9.95661 6.56118i −0.928459 0.611833i
\(116\) −0.388371 1.19528i −0.0360594 0.110979i
\(117\) −4.62425 + 4.16369i −0.427512 + 0.384934i
\(118\) 4.66168 + 2.69142i 0.429142 + 0.247765i
\(119\) −6.25300 10.8305i −0.573212 0.992832i
\(120\) −0.364590 + 2.20614i −0.0332824 + 0.201393i
\(121\) −5.48236 + 2.44090i −0.498396 + 0.221900i
\(122\) −4.29002 5.90471i −0.388400 0.534587i
\(123\) 5.18005i 0.467069i
\(124\) 5.53684 0.585999i 0.497223 0.0526243i
\(125\) 10.0618 4.87449i 0.899953 0.435987i
\(126\) 2.17635 1.58121i 0.193885 0.140866i
\(127\) 3.83663 + 8.61722i 0.340446 + 0.764654i 0.999916 + 0.0129238i \(0.00411390\pi\)
−0.659470 + 0.751730i \(0.729219\pi\)
\(128\) −0.951057 0.309017i −0.0840623 0.0273135i
\(129\) 2.09493 + 3.62853i 0.184449 + 0.319475i
\(130\) −5.07328 + 12.9562i −0.444956 + 1.13633i
\(131\) 1.91823 + 2.13041i 0.167597 + 0.186135i 0.821093 0.570795i \(-0.193365\pi\)
−0.653496 + 0.756930i \(0.726698\pi\)
\(132\) 2.12637 0.690901i 0.185077 0.0601352i
\(133\) 2.05564 + 1.85091i 0.178247 + 0.160494i
\(134\) −2.59179 1.15394i −0.223896 0.0996851i
\(135\) −0.787328 2.09287i −0.0677624 0.180126i
\(136\) −0.485938 4.62339i −0.0416689 0.396453i
\(137\) 11.4924 + 1.20790i 0.981860 + 0.103198i 0.581835 0.813307i \(-0.302335\pi\)
0.400025 + 0.916504i \(0.369001\pi\)
\(138\) −1.10871 + 5.21607i −0.0943797 + 0.444021i
\(139\) −4.41936 3.21085i −0.374845 0.272341i 0.384372 0.923178i \(-0.374418\pi\)
−0.759217 + 0.650837i \(0.774418\pi\)
\(140\) 2.76674 5.34125i 0.233832 0.451418i
\(141\) 1.80096 + 0.382806i 0.151668 + 0.0322381i
\(142\) −1.10621 0.116267i −0.0928308 0.00975691i
\(143\) 13.8362 1.45424i 1.15704 0.121610i
\(144\) 0.978148 0.207912i 0.0815123 0.0173260i
\(145\) 2.70959 + 0.745528i 0.225019 + 0.0619128i
\(146\) −0.852934 + 0.947279i −0.0705893 + 0.0783974i
\(147\) −0.225170 + 0.0731620i −0.0185717 + 0.00603430i
\(148\) −3.61595 + 3.25582i −0.297230 + 0.267627i
\(149\) −10.1343 + 17.5530i −0.830231 + 1.43800i 0.0676248 + 0.997711i \(0.478458\pi\)
−0.897855 + 0.440291i \(0.854875\pi\)
\(150\) −3.67055 3.39515i −0.299699 0.277213i
\(151\) 0.936187 2.88129i 0.0761858 0.234476i −0.905710 0.423898i \(-0.860662\pi\)
0.981896 + 0.189422i \(0.0606615\pi\)
\(152\) 0.418230 + 0.939360i 0.0339229 + 0.0761922i
\(153\) 2.73253 + 3.76101i 0.220912 + 0.304059i
\(154\) −6.01458 −0.484669
\(155\) −5.71834 + 11.0590i −0.459308 + 0.888277i
\(156\) 6.22254 0.498202
\(157\) −5.77163 7.94397i −0.460627 0.633998i 0.514012 0.857783i \(-0.328159\pi\)
−0.974639 + 0.223785i \(0.928159\pi\)
\(158\) −0.593656 1.33337i −0.0472287 0.106077i
\(159\) −3.37545 + 10.3886i −0.267690 + 0.823866i
\(160\) 1.74714 1.39553i 0.138124 0.110326i
\(161\) 7.17267 12.4234i 0.565286 0.979104i
\(162\) −0.743145 + 0.669131i −0.0583870 + 0.0525719i
\(163\) 8.17280 2.65551i 0.640143 0.207995i 0.0290803 0.999577i \(-0.490742\pi\)
0.611063 + 0.791582i \(0.290742\pi\)
\(164\) 3.46613 3.84952i 0.270659 0.300597i
\(165\) −1.32627 + 4.82028i −0.103250 + 0.375258i
\(166\) −7.20879 + 1.53228i −0.559510 + 0.118928i
\(167\) 17.9517 1.88680i 1.38915 0.146005i 0.619762 0.784790i \(-0.287229\pi\)
0.769385 + 0.638785i \(0.220563\pi\)
\(168\) −2.67539 0.281194i −0.206410 0.0216946i
\(169\) 25.1580 + 5.34750i 1.93523 + 0.411346i
\(170\) 9.23033 + 4.78127i 0.707934 + 0.366707i
\(171\) −0.831878 0.604395i −0.0636153 0.0462192i
\(172\) 0.871123 4.09831i 0.0664225 0.312493i
\(173\) −19.1559 2.01337i −1.45640 0.153074i −0.657007 0.753885i \(-0.728178\pi\)
−0.799391 + 0.600811i \(0.794844\pi\)
\(174\) −0.131371 1.24991i −0.00995920 0.0947555i
\(175\) 6.56859 + 11.7377i 0.496538 + 0.887284i
\(176\) −2.04251 0.909383i −0.153960 0.0685473i
\(177\) 4.00023 + 3.60182i 0.300676 + 0.270730i
\(178\) 10.2618 3.33425i 0.769152 0.249913i
\(179\) 16.6635 + 18.5067i 1.24549 + 1.38325i 0.894619 + 0.446831i \(0.147447\pi\)
0.350870 + 0.936424i \(0.385886\pi\)
\(180\) −0.815306 + 2.08213i −0.0607693 + 0.155193i
\(181\) −8.59982 14.8953i −0.639220 1.10716i −0.985604 0.169068i \(-0.945924\pi\)
0.346385 0.938093i \(-0.387409\pi\)
\(182\) −15.9201 5.17276i −1.18008 0.383431i
\(183\) −2.96862 6.66762i −0.219447 0.492885i
\(184\) 4.31416 3.13442i 0.318044 0.231073i
\(185\) −1.62998 10.7574i −0.119838 0.790896i
\(186\) 5.53768 + 0.577980i 0.406043 + 0.0423795i
\(187\) 10.3939i 0.760080i
\(188\) −1.08223 1.48956i −0.0789296 0.108637i
\(189\) 2.45755 1.09417i 0.178760 0.0795892i
\(190\) −2.26849 0.374893i −0.164573 0.0271976i
\(191\) 9.27026 + 16.0566i 0.670773 + 1.16181i 0.977685 + 0.210075i \(0.0673707\pi\)
−0.306913 + 0.951738i \(0.599296\pi\)
\(192\) −0.866025 0.500000i −0.0625000 0.0360844i
\(193\) 9.45958 8.51745i 0.680916 0.613099i −0.254322 0.967120i \(-0.581852\pi\)
0.935238 + 0.354020i \(0.115186\pi\)
\(194\) 5.38551 + 16.5749i 0.386657 + 1.19001i
\(195\) −7.65615 + 11.6182i −0.548269 + 0.832000i
\(196\) 0.216289 + 0.0962979i 0.0154492 + 0.00687842i
\(197\) −3.40065 15.9988i −0.242286 1.13987i −0.916095 0.400961i \(-0.868676\pi\)
0.673809 0.738906i \(-0.264657\pi\)
\(198\) 2.22355 0.233705i 0.158021 0.0166087i
\(199\) 0.579541 5.51396i 0.0410825 0.390874i −0.954589 0.297927i \(-0.903705\pi\)
0.995671 0.0929469i \(-0.0296287\pi\)
\(200\) 0.455952 + 4.97917i 0.0322407 + 0.352080i
\(201\) −2.29523 1.66759i −0.161893 0.117622i
\(202\) −6.97173 + 9.59577i −0.490530 + 0.675156i
\(203\) −0.702936 + 3.30705i −0.0493364 + 0.232110i
\(204\) 0.485938 4.62339i 0.0340225 0.323702i
\(205\) 2.92284 + 11.2081i 0.204140 + 0.782807i
\(206\) 12.9245 2.74718i 0.900492 0.191405i
\(207\) −2.16896 + 4.87157i −0.150753 + 0.338598i
\(208\) −4.62425 4.16369i −0.320634 0.288700i
\(209\) 0.710424 + 2.18646i 0.0491411 + 0.151241i
\(210\) 3.81679 4.64929i 0.263384 0.320832i
\(211\) 2.77687 4.80968i 0.191168 0.331112i −0.754470 0.656335i \(-0.772106\pi\)
0.945638 + 0.325223i \(0.105439\pi\)
\(212\) 9.45974 5.46159i 0.649698 0.375103i
\(213\) −1.05786 0.343720i −0.0724834 0.0235513i
\(214\) −8.57161 + 3.81633i −0.585943 + 0.260879i
\(215\) 6.58022 + 6.66901i 0.448767 + 0.454823i
\(216\) 1.00000 0.0680414
\(217\) −13.6875 6.08218i −0.929165 0.412885i
\(218\) 11.3171i 0.766491i
\(219\) −1.03125 + 0.749244i −0.0696851 + 0.0506292i
\(220\) 4.21101 2.69471i 0.283906 0.181678i
\(221\) 8.93916 27.5119i 0.601313 1.85065i
\(222\) −4.21386 + 2.43287i −0.282816 + 0.163284i
\(223\) 11.4691 + 6.62170i 0.768029 + 0.443422i 0.832171 0.554519i \(-0.187098\pi\)
−0.0641418 + 0.997941i \(0.520431\pi\)
\(224\) 1.80004 + 1.99915i 0.120270 + 0.133574i
\(225\) −2.88445 4.08411i −0.192297 0.272274i
\(226\) 5.35235 5.94439i 0.356033 0.395415i
\(227\) 6.83858 15.3597i 0.453893 1.01946i −0.531170 0.847265i \(-0.678248\pi\)
0.985063 0.172194i \(-0.0550857\pi\)
\(228\) 0.213787 + 1.00579i 0.0141584 + 0.0666099i
\(229\) 1.12792 + 10.7315i 0.0745354 + 0.709157i 0.966433 + 0.256919i \(0.0827074\pi\)
−0.891898 + 0.452237i \(0.850626\pi\)
\(230\) 0.544247 + 11.9116i 0.0358866 + 0.785430i
\(231\) −5.88315 1.25050i −0.387083 0.0822770i
\(232\) −0.738726 + 1.01677i −0.0484997 + 0.0667541i
\(233\) −7.83531 + 10.7844i −0.513308 + 0.706508i −0.984473 0.175537i \(-0.943834\pi\)
0.471164 + 0.882045i \(0.343834\pi\)
\(234\) 6.08657 + 1.29374i 0.397891 + 0.0845744i
\(235\) 4.11275 0.187913i 0.268286 0.0122581i
\(236\) −0.562660 5.35335i −0.0366260 0.348473i
\(237\) −0.303459 1.42766i −0.0197118 0.0927367i
\(238\) −5.08665 + 11.4248i −0.329719 + 0.740560i
\(239\) −4.81681 + 5.34961i −0.311574 + 0.346038i −0.878510 0.477724i \(-0.841462\pi\)
0.566936 + 0.823762i \(0.308129\pi\)
\(240\) 1.99911 1.00178i 0.129042 0.0646646i
\(241\) −9.84764 10.9369i −0.634342 0.704508i 0.337185 0.941439i \(-0.390525\pi\)
−0.971527 + 0.236930i \(0.923859\pi\)
\(242\) 5.19718 + 3.00059i 0.334088 + 0.192886i
\(243\) −0.866025 + 0.500000i −0.0555556 + 0.0320750i
\(244\) −2.25540 + 6.94140i −0.144387 + 0.444378i
\(245\) −0.445919 + 0.285353i −0.0284887 + 0.0182305i
\(246\) 4.19075 3.04475i 0.267192 0.194126i
\(247\) 6.39838i 0.407119i
\(248\) −3.72856 4.13496i −0.236764 0.262570i
\(249\) −7.36984 −0.467044
\(250\) −9.85771 5.27500i −0.623456 0.333620i
\(251\) 22.0776 9.82959i 1.39353 0.620438i 0.433707 0.901054i \(-0.357205\pi\)
0.959820 + 0.280616i \(0.0905387\pi\)
\(252\) −2.55846 0.831293i −0.161168 0.0523666i
\(253\) 10.3253 5.96132i 0.649147 0.374785i
\(254\) 4.71636 8.16897i 0.295931 0.512567i
\(255\) 8.03454 + 6.59588i 0.503143 + 0.413050i
\(256\) 0.309017 + 0.951057i 0.0193136 + 0.0594410i
\(257\) 15.9591 + 14.3697i 0.995503 + 0.896355i 0.994614 0.103644i \(-0.0330504\pi\)
0.000888918 1.00000i \(0.499717\pi\)
\(258\) 1.70417 3.82764i 0.106097 0.238298i
\(259\) 12.8034 2.72145i 0.795566 0.169103i
\(260\) 13.4638 3.51107i 0.834987 0.217747i
\(261\) 0.131371 1.24991i 0.00813165 0.0773675i
\(262\) 0.596032 2.80411i 0.0368230 0.173238i
\(263\) −8.78871 + 12.0966i −0.541935 + 0.745910i −0.988890 0.148647i \(-0.952508\pi\)
0.446955 + 0.894556i \(0.352508\pi\)
\(264\) −1.80880 1.31417i −0.111324 0.0808817i
\(265\) −1.44173 + 24.3824i −0.0885646 + 1.49780i
\(266\) 0.289140 2.75099i 0.0177283 0.168674i
\(267\) 10.7308 1.12785i 0.656712 0.0690232i
\(268\) 0.589859 + 2.77507i 0.0360314 + 0.169514i
\(269\) −11.8460 5.27417i −0.722263 0.321572i 0.0124762 0.999922i \(-0.496029\pi\)
−0.734739 + 0.678350i \(0.762695\pi\)
\(270\) −1.23039 + 1.86712i −0.0748791 + 0.113629i
\(271\) 7.84282 + 24.1377i 0.476417 + 1.46626i 0.844037 + 0.536285i \(0.180173\pi\)
−0.367620 + 0.929976i \(0.619827\pi\)
\(272\) −3.45478 + 3.11069i −0.209477 + 0.188614i
\(273\) −14.4967 8.36970i −0.877383 0.506557i
\(274\) −5.77784 10.0075i −0.349052 0.604576i
\(275\) −0.149822 + 11.1780i −0.00903463 + 0.674059i
\(276\) 4.87157 2.16896i 0.293234 0.130556i
\(277\) 7.40450 + 10.1914i 0.444893 + 0.612343i 0.971291 0.237896i \(-0.0764576\pi\)
−0.526397 + 0.850239i \(0.676458\pi\)
\(278\) 5.46262i 0.327626i
\(279\) 5.29650 + 1.71670i 0.317093 + 0.102776i
\(280\) −5.94741 + 0.901165i −0.355426 + 0.0538549i
\(281\) −10.8196 + 7.86093i −0.645446 + 0.468944i −0.861717 0.507389i \(-0.830611\pi\)
0.216271 + 0.976333i \(0.430611\pi\)
\(282\) −0.748882 1.68202i −0.0445953 0.100163i
\(283\) 19.8048 + 6.43497i 1.17727 + 0.382519i 0.831353 0.555745i \(-0.187567\pi\)
0.345920 + 0.938264i \(0.387567\pi\)
\(284\) 0.556150 + 0.963280i 0.0330014 + 0.0571602i
\(285\) −2.14097 0.838345i −0.126820 0.0496593i
\(286\) −9.30920 10.3389i −0.550464 0.611353i
\(287\) −13.2529 + 4.30614i −0.782296 + 0.254183i
\(288\) −0.743145 0.669131i −0.0437902 0.0394289i
\(289\) −4.21319 1.87583i −0.247834 0.110343i
\(290\) −0.989510 2.63031i −0.0581060 0.154457i
\(291\) 1.82171 + 17.3324i 0.106790 + 1.01604i
\(292\) 1.26771 + 0.133241i 0.0741869 + 0.00779736i
\(293\) −0.296629 + 1.39553i −0.0173293 + 0.0815278i −0.985962 0.166967i \(-0.946603\pi\)
0.968633 + 0.248495i \(0.0799360\pi\)
\(294\) 0.191541 + 0.139162i 0.0111709 + 0.00811612i
\(295\) 10.6876 + 5.53615i 0.622259 + 0.322327i
\(296\) 4.75942 + 1.01165i 0.276636 + 0.0588007i
\(297\) 2.22355 + 0.233705i 0.129024 + 0.0135609i
\(298\) 20.1575 2.11864i 1.16769 0.122729i
\(299\) 32.4572 6.89900i 1.87705 0.398979i
\(300\) −0.589239 + 4.96516i −0.0340197 + 0.286664i
\(301\) −7.54195 + 8.37618i −0.434711 + 0.482795i
\(302\) −2.88129 + 0.936187i −0.165799 + 0.0538715i
\(303\) −8.81446 + 7.93657i −0.506377 + 0.455944i
\(304\) 0.514129 0.890497i 0.0294873 0.0510735i
\(305\) −10.1854 12.7517i −0.583216 0.730162i
\(306\) 1.43658 4.42133i 0.0821236 0.252751i
\(307\) 10.1543 + 22.8070i 0.579539 + 1.30167i 0.930848 + 0.365407i \(0.119070\pi\)
−0.351309 + 0.936260i \(0.614263\pi\)
\(308\) 3.53528 + 4.86590i 0.201441 + 0.277260i
\(309\) 13.2132 0.751674
\(310\) 12.3080 1.87406i 0.699050 0.106439i
\(311\) 20.6224 1.16939 0.584695 0.811253i \(-0.301214\pi\)
0.584695 + 0.811253i \(0.301214\pi\)
\(312\) −3.65752 5.03414i −0.207066 0.285002i
\(313\) −3.03957 6.82699i −0.171807 0.385885i 0.807035 0.590504i \(-0.201071\pi\)
−0.978842 + 0.204619i \(0.934404\pi\)
\(314\) −3.03433 + 9.33870i −0.171237 + 0.527013i
\(315\) 4.70003 3.75414i 0.264816 0.211522i
\(316\) −0.729779 + 1.26401i −0.0410533 + 0.0711064i
\(317\) −3.36966 + 3.03406i −0.189259 + 0.170410i −0.758313 0.651890i \(-0.773976\pi\)
0.569054 + 0.822300i \(0.307310\pi\)
\(318\) 10.3886 3.37545i 0.582561 0.189286i
\(319\) −1.88022 + 2.08820i −0.105272 + 0.116917i
\(320\) −2.15595 0.593198i −0.120521 0.0331608i
\(321\) −9.17775 + 1.95079i −0.512252 + 0.108883i
\(322\) −14.2668 + 1.49950i −0.795056 + 0.0835637i
\(323\) 4.75404 + 0.499670i 0.264522 + 0.0278024i
\(324\) 0.978148 + 0.207912i 0.0543415 + 0.0115506i
\(325\) −10.0101 + 29.4584i −0.555258 + 1.63406i
\(326\) −6.95220 5.05107i −0.385047 0.279753i
\(327\) 2.35296 11.0698i 0.130119 0.612161i
\(328\) −5.15167 0.541462i −0.284453 0.0298973i
\(329\) 0.517734 + 4.92591i 0.0285436 + 0.271574i
\(330\) 4.67925 1.76031i 0.257584 0.0969019i
\(331\) −28.0406 12.4845i −1.54125 0.686208i −0.552188 0.833719i \(-0.686207\pi\)
−0.989060 + 0.147511i \(0.952874\pi\)
\(332\) 5.47686 + 4.93138i 0.300582 + 0.270645i
\(333\) −4.62760 + 1.50360i −0.253591 + 0.0823967i
\(334\) −12.0782 13.4142i −0.660891 0.733994i
\(335\) −5.90715 2.31308i −0.322742 0.126377i
\(336\) 1.34506 + 2.32971i 0.0733791 + 0.127096i
\(337\) −26.2145 8.51760i −1.42799 0.463983i −0.509861 0.860257i \(-0.670303\pi\)
−0.918132 + 0.396274i \(0.870303\pi\)
\(338\) −10.4613 23.4964i −0.569019 1.27804i
\(339\) 6.47130 4.70167i 0.351473 0.255360i
\(340\) −1.55732 10.2779i −0.0844577 0.557395i
\(341\) −7.32429 10.0657i −0.396632 0.545087i
\(342\) 1.02826i 0.0556018i
\(343\) 10.6941 + 14.7192i 0.577429 + 0.794763i
\(344\) −3.82764 + 1.70417i −0.206372 + 0.0918829i
\(345\) −1.94421 + 11.7645i −0.104673 + 0.633379i
\(346\) 9.63072 + 16.6809i 0.517751 + 0.896770i
\(347\) −25.6919 14.8332i −1.37921 0.796290i −0.387150 0.922017i \(-0.626540\pi\)
−0.992065 + 0.125727i \(0.959874\pi\)
\(348\) −0.933981 + 0.840960i −0.0500666 + 0.0450802i
\(349\) −8.66646 26.6726i −0.463905 1.42775i −0.860354 0.509697i \(-0.829758\pi\)
0.396449 0.918057i \(-0.370242\pi\)
\(350\) 5.63505 12.2133i 0.301206 0.652829i
\(351\) 5.68458 + 2.53094i 0.303420 + 0.135091i
\(352\) 0.464849 + 2.18694i 0.0247766 + 0.116565i
\(353\) −23.3668 + 2.45595i −1.24369 + 0.130717i −0.703420 0.710775i \(-0.748345\pi\)
−0.540270 + 0.841492i \(0.681678\pi\)
\(354\) 0.562660 5.35335i 0.0299050 0.284527i
\(355\) −2.48284 0.146810i −0.131776 0.00779188i
\(356\) −8.72918 6.34212i −0.462646 0.336132i
\(357\) −7.35084 + 10.1176i −0.389048 + 0.535479i
\(358\) 5.17767 24.3590i 0.273648 1.28741i
\(359\) −2.19115 + 20.8474i −0.115645 + 1.10028i 0.770681 + 0.637222i \(0.219916\pi\)
−0.886325 + 0.463063i \(0.846750\pi\)
\(360\) 2.16371 0.564250i 0.114037 0.0297386i
\(361\) 17.5506 3.73049i 0.923716 0.196342i
\(362\) −6.99573 + 15.7127i −0.367687 + 0.825839i
\(363\) 4.45975 + 4.01558i 0.234076 + 0.210763i
\(364\) 5.17276 + 15.9201i 0.271126 + 0.834441i
\(365\) −1.80855 + 2.20302i −0.0946639 + 0.115311i
\(366\) −3.64931 + 6.32079i −0.190753 + 0.330393i
\(367\) 17.7783 10.2643i 0.928017 0.535791i 0.0418333 0.999125i \(-0.486680\pi\)
0.886184 + 0.463334i \(0.153347\pi\)
\(368\) −5.07160 1.64786i −0.264376 0.0859009i
\(369\) 4.73221 2.10691i 0.246349 0.109682i
\(370\) −7.74480 + 7.64169i −0.402633 + 0.397273i
\(371\) −29.3847 −1.52558
\(372\) −2.78737 4.81981i −0.144519 0.249895i
\(373\) 22.5401i 1.16708i −0.812084 0.583540i \(-0.801667\pi\)
0.812084 0.583540i \(-0.198333\pi\)
\(374\) −8.40887 + 6.10940i −0.434812 + 0.315910i
\(375\) −8.54556 7.20926i −0.441291 0.372285i
\(376\) −0.568961 + 1.75108i −0.0293419 + 0.0903052i
\(377\) −6.77272 + 3.91023i −0.348813 + 0.201387i
\(378\) −2.32971 1.34506i −0.119828 0.0691825i
\(379\) −6.38092 7.08673i −0.327766 0.364021i 0.556628 0.830762i \(-0.312095\pi\)
−0.884394 + 0.466741i \(0.845428\pi\)
\(380\) 1.03009 + 2.05560i 0.0528424 + 0.105450i
\(381\) 6.31172 7.00988i 0.323359 0.359127i
\(382\) 7.54111 16.9376i 0.385837 0.866604i
\(383\) −0.771437 3.62932i −0.0394186 0.185450i 0.954033 0.299700i \(-0.0968867\pi\)
−0.993452 + 0.114250i \(0.963553\pi\)
\(384\) 0.104528 + 0.994522i 0.00533420 + 0.0507515i
\(385\) −13.4350 + 0.613850i −0.684711 + 0.0312847i
\(386\) −12.4510 2.64653i −0.633737 0.134705i
\(387\) 2.46274 3.38968i 0.125188 0.172307i
\(388\) 10.2439 14.0995i 0.520053 0.715791i
\(389\) −13.6988 2.91178i −0.694559 0.147633i −0.152913 0.988240i \(-0.548865\pi\)
−0.541646 + 0.840607i \(0.682199\pi\)
\(390\) 13.8995 0.635075i 0.703830 0.0321583i
\(391\) −2.59131 24.6547i −0.131048 1.24684i
\(392\) −0.0492246 0.231584i −0.00248622 0.0116967i
\(393\) 1.16601 2.61891i 0.0588176 0.132107i
\(394\) −10.9444 + 12.1550i −0.551373 + 0.612362i
\(395\) −1.46216 2.91782i −0.0735690 0.146811i
\(396\) −1.49604 1.66152i −0.0751790 0.0834948i
\(397\) 12.9491 + 7.47615i 0.649895 + 0.375217i 0.788416 0.615142i \(-0.210901\pi\)
−0.138521 + 0.990360i \(0.544235\pi\)
\(398\) −4.80153 + 2.77217i −0.240679 + 0.138956i
\(399\) 0.854784 2.63075i 0.0427927 0.131702i
\(400\) 3.76023 3.29555i 0.188011 0.164778i
\(401\) −12.5142 + 9.09207i −0.624928 + 0.454036i −0.854639 0.519222i \(-0.826222\pi\)
0.229712 + 0.973259i \(0.426222\pi\)
\(402\) 2.83707i 0.141500i
\(403\) −10.7300 32.9422i −0.534497 1.64097i
\(404\) 11.8610 0.590108
\(405\) −1.59170 + 1.57051i −0.0790922 + 0.0780392i
\(406\) 3.08864 1.37515i 0.153286 0.0682475i
\(407\) 10.3464 + 3.36175i 0.512852 + 0.166636i
\(408\) −4.02603 + 2.32443i −0.199318 + 0.115076i
\(409\) −8.95670 + 15.5135i −0.442880 + 0.767091i −0.997902 0.0647448i \(-0.979377\pi\)
0.555022 + 0.831836i \(0.312710\pi\)
\(410\) 7.34954 8.95258i 0.362968 0.442136i
\(411\) −3.57090 10.9901i −0.176140 0.542102i
\(412\) −9.81934 8.84137i −0.483764 0.435583i
\(413\) −5.88975 + 13.2286i −0.289816 + 0.650936i
\(414\) 5.21607 1.10871i 0.256356 0.0544901i
\(415\) −15.9462 + 4.15843i −0.782766 + 0.204129i
\(416\) −0.650433 + 6.18846i −0.0318901 + 0.303414i
\(417\) −1.13574 + 5.34325i −0.0556176 + 0.261660i
\(418\) 1.35131 1.85991i 0.0660946 0.0909714i
\(419\) −11.1787 8.12184i −0.546118 0.396778i 0.280234 0.959932i \(-0.409588\pi\)
−0.826352 + 0.563154i \(0.809588\pi\)
\(420\) −6.00481 0.355064i −0.293005 0.0173253i
\(421\) 2.38802 22.7205i 0.116385 1.10733i −0.767961 0.640497i \(-0.778728\pi\)
0.884346 0.466832i \(-0.154605\pi\)
\(422\) −5.52332 + 0.580524i −0.268871 + 0.0282595i
\(423\) −0.382806 1.80096i −0.0186127 0.0875658i
\(424\) −9.97881 4.44285i −0.484614 0.215764i
\(425\) 21.1061 + 9.73805i 1.02380 + 0.472365i
\(426\) 0.343720 + 1.05786i 0.0166533 + 0.0512535i
\(427\) 14.5910 13.1378i 0.706110 0.635785i
\(428\) 8.12574 + 4.69140i 0.392772 + 0.226767i
\(429\) −6.95619 12.0485i −0.335848 0.581706i
\(430\) 1.52759 9.24346i 0.0736667 0.445759i
\(431\) −23.4108 + 10.4231i −1.12766 + 0.502065i −0.883855 0.467760i \(-0.845061\pi\)
−0.243801 + 0.969825i \(0.578394\pi\)
\(432\) −0.587785 0.809017i −0.0282798 0.0389238i
\(433\) 9.58706i 0.460725i −0.973105 0.230362i \(-0.926009\pi\)
0.973105 0.230362i \(-0.0739912\pi\)
\(434\) 3.12470 + 14.6484i 0.149991 + 0.703146i
\(435\) −0.421014 2.77856i −0.0201861 0.133222i
\(436\) −9.15572 + 6.65202i −0.438480 + 0.318574i
\(437\) 2.23025 + 5.00923i 0.106688 + 0.239624i
\(438\) 1.21230 + 0.393901i 0.0579260 + 0.0188213i
\(439\) −19.2717 33.3795i −0.919786 1.59312i −0.799739 0.600348i \(-0.795029\pi\)
−0.120048 0.992768i \(-0.538305\pi\)
\(440\) −4.65524 1.82286i −0.221930 0.0869016i
\(441\) 0.158422 + 0.175945i 0.00754389 + 0.00837833i
\(442\) −27.5119 + 8.93916i −1.30861 + 0.425193i
\(443\) 14.9691 + 13.4782i 0.711203 + 0.640370i 0.943153 0.332358i \(-0.107844\pi\)
−0.231951 + 0.972728i \(0.574511\pi\)
\(444\) 4.44508 + 1.97908i 0.210954 + 0.0939228i
\(445\) 22.5818 8.49516i 1.07048 0.402709i
\(446\) −1.38431 13.1709i −0.0655491 0.623658i
\(447\) 20.1575 + 2.11864i 0.953416 + 0.100208i
\(448\) 0.559308 2.63134i 0.0264248 0.124319i
\(449\) 7.35155 + 5.34122i 0.346941 + 0.252068i 0.747585 0.664166i \(-0.231213\pi\)
−0.400643 + 0.916234i \(0.631213\pi\)
\(450\) −1.60868 + 4.73415i −0.0758338 + 0.223170i
\(451\) −11.3285 2.40794i −0.533437 0.113386i
\(452\) −7.95515 0.836120i −0.374179 0.0393278i
\(453\) −3.01297 + 0.316676i −0.141562 + 0.0148787i
\(454\) −16.4459 + 3.49568i −0.771843 + 0.164060i
\(455\) −36.0893 9.92978i −1.69189 0.465515i
\(456\) 0.688039 0.764144i 0.0322204 0.0357843i
\(457\) −17.4234 + 5.66120i −0.815032 + 0.264820i −0.686728 0.726915i \(-0.740953\pi\)
−0.128304 + 0.991735i \(0.540953\pi\)
\(458\) 8.01898 7.22032i 0.374702 0.337383i
\(459\) 2.32443 4.02603i 0.108495 0.187919i
\(460\) 9.31681 7.44179i 0.434399 0.346975i
\(461\) −12.4033 + 38.1735i −0.577680 + 1.77792i 0.0491849 + 0.998790i \(0.484338\pi\)
−0.626865 + 0.779128i \(0.715662\pi\)
\(462\) 2.44635 + 5.49459i 0.113815 + 0.255632i
\(463\) 15.0916 + 20.7719i 0.701368 + 0.965350i 0.999940 + 0.0109630i \(0.00348970\pi\)
−0.298572 + 0.954387i \(0.596510\pi\)
\(464\) 1.25680 0.0583453
\(465\) 12.4287 + 0.725878i 0.576368 + 0.0336618i
\(466\) 13.3302 0.617511
\(467\) 14.3528 + 19.7550i 0.664169 + 0.914151i 0.999610 0.0279105i \(-0.00888534\pi\)
−0.335441 + 0.942061i \(0.608885\pi\)
\(468\) −2.53094 5.68458i −0.116993 0.262770i
\(469\) 2.35843 7.25851i 0.108902 0.335167i
\(470\) −2.56944 3.21683i −0.118519 0.148381i
\(471\) −4.90964 + 8.50375i −0.226224 + 0.391832i
\(472\) −4.00023 + 3.60182i −0.184125 + 0.165787i
\(473\) −8.90923 + 2.89478i −0.409647 + 0.133102i
\(474\) −0.976635 + 1.08466i −0.0448583 + 0.0498202i
\(475\) −5.10546 0.605889i −0.234255 0.0278001i
\(476\) 12.2327 2.60014i 0.560686 0.119177i
\(477\) 10.8633 1.14178i 0.497398 0.0522786i
\(478\) 7.15918 + 0.752460i 0.327453 + 0.0344167i
\(479\) −14.7188 3.12858i −0.672520 0.142948i −0.141020 0.990007i \(-0.545038\pi\)
−0.531500 + 0.847058i \(0.678371\pi\)
\(480\) −1.98550 1.02848i −0.0906254 0.0469436i
\(481\) 24.4949 + 17.7966i 1.11687 + 0.811453i
\(482\) −3.05985 + 14.3955i −0.139372 + 0.655695i
\(483\) −14.2668 1.49950i −0.649160 0.0682295i
\(484\) −0.627295 5.96831i −0.0285134 0.271287i
\(485\) 13.7215 + 36.4743i 0.623059 + 1.65621i
\(486\) 0.913545 + 0.406737i 0.0414393 + 0.0184499i
\(487\) 23.6781 + 21.3198i 1.07296 + 0.966094i 0.999513 0.0312058i \(-0.00993473\pi\)
0.0734427 + 0.997299i \(0.476601\pi\)
\(488\) 6.94140 2.25540i 0.314223 0.102097i
\(489\) −5.75010 6.38614i −0.260029 0.288791i
\(490\) 0.492960 + 0.193030i 0.0222697 + 0.00872019i
\(491\) −2.93473 5.08311i −0.132443 0.229397i 0.792175 0.610294i \(-0.208949\pi\)
−0.924618 + 0.380897i \(0.875615\pi\)
\(492\) −4.92652 1.60072i −0.222105 0.0721661i
\(493\) 2.37643 + 5.33754i 0.107029 + 0.240391i
\(494\) 5.17640 3.76087i 0.232897 0.169210i
\(495\) 4.94298 0.748972i 0.222171 0.0336638i
\(496\) −1.15366 + 5.44693i −0.0518008 + 0.244574i
\(497\) 2.99222i 0.134220i
\(498\) 4.33188 + 5.96232i 0.194116 + 0.267178i
\(499\) 19.3787 8.62793i 0.867508 0.386239i 0.0757880 0.997124i \(-0.475853\pi\)
0.791720 + 0.610885i \(0.209186\pi\)
\(500\) 1.52665 + 11.0756i 0.0682740 + 0.495317i
\(501\) −9.02531 15.6323i −0.403221 0.698399i
\(502\) −20.9292 12.0835i −0.934116 0.539312i
\(503\) −20.0561 + 18.0586i −0.894257 + 0.805192i −0.981593 0.190987i \(-0.938831\pi\)
0.0873360 + 0.996179i \(0.472165\pi\)
\(504\) 0.831293 + 2.55846i 0.0370288 + 0.113963i
\(505\) −14.5937 + 22.1460i −0.649410 + 0.985483i
\(506\) −10.8919 4.84937i −0.484203 0.215581i
\(507\) −5.34750 25.1580i −0.237491 1.11731i
\(508\) −9.38104 + 0.985988i −0.416217 + 0.0437461i
\(509\) −3.12331 + 29.7163i −0.138438 + 1.31715i 0.675999 + 0.736902i \(0.263712\pi\)
−0.814438 + 0.580251i \(0.802954\pi\)
\(510\) 0.613594 10.3770i 0.0271704 0.459503i
\(511\) −2.77418 2.01556i −0.122722 0.0891630i
\(512\) 0.587785 0.809017i 0.0259767 0.0357538i
\(513\) −0.213787 + 1.00579i −0.00943892 + 0.0444066i
\(514\) 2.24476 21.3575i 0.0990122 0.942038i
\(515\) 28.5895 7.45557i 1.25981 0.328531i
\(516\) −4.09831 + 0.871123i −0.180418 + 0.0383490i
\(517\) −1.67435 + 3.76066i −0.0736379 + 0.165394i
\(518\) −9.72736 8.75855i −0.427396 0.384829i
\(519\) 5.95211 + 18.3187i 0.261269 + 0.804102i
\(520\) −10.7543 8.82865i −0.471608 0.387162i
\(521\) 17.6432 30.5590i 0.772964 1.33881i −0.162967 0.986631i \(-0.552106\pi\)
0.935932 0.352182i \(-0.114560\pi\)
\(522\) −1.08842 + 0.628398i −0.0476387 + 0.0275042i
\(523\) −11.0793 3.59987i −0.484462 0.157411i 0.0565948 0.998397i \(-0.481976\pi\)
−0.541057 + 0.840986i \(0.681976\pi\)
\(524\) −2.61891 + 1.16601i −0.114408 + 0.0509376i
\(525\) 8.05120 10.7748i 0.351383 0.470252i
\(526\) 14.9522 0.651949
\(527\) −25.3142 + 5.39987i −1.10271 + 0.235222i
\(528\) 2.23580i 0.0973008i
\(529\) 4.39832 3.19557i 0.191231 0.138938i
\(530\) 20.5732 13.1652i 0.893642 0.571860i
\(531\) 1.66339 5.11938i 0.0721849 0.222162i
\(532\) −2.39555 + 1.38307i −0.103860 + 0.0599637i
\(533\) −27.9147 16.1165i −1.20912 0.698085i
\(534\) −7.21983 8.01843i −0.312433 0.346991i
\(535\) −18.7572 + 9.39949i −0.810946 + 0.406375i
\(536\) 1.89837 2.10835i 0.0819970 0.0910669i
\(537\) 10.1290 22.7502i 0.437101 0.981744i
\(538\) 2.69600 + 12.6837i 0.116233 + 0.546833i
\(539\) −0.0553314 0.526443i −0.00238329 0.0226755i
\(540\) 2.23374 0.102060i 0.0961248 0.00439198i
\(541\) 9.83169 + 2.08979i 0.422697 + 0.0898471i 0.414349 0.910118i \(-0.364009\pi\)
0.00834828 + 0.999965i \(0.497343\pi\)
\(542\) 14.9179 20.5328i 0.640780 0.881957i
\(543\) −10.1097 + 13.9148i −0.433849 + 0.597141i
\(544\) 4.54727 + 0.966552i 0.194963 + 0.0414406i
\(545\) −1.15503 25.2794i −0.0494759 1.08285i
\(546\) 1.74974 + 16.6477i 0.0748821 + 0.712456i
\(547\) −9.41499 44.2940i −0.402556 1.89388i −0.446392 0.894837i \(-0.647291\pi\)
0.0438363 0.999039i \(-0.486042\pi\)
\(548\) −4.70012 + 10.5566i −0.200779 + 0.450957i
\(549\) −4.88373 + 5.42393i −0.208433 + 0.231488i
\(550\) 9.13126 6.44906i 0.389358 0.274989i
\(551\) −0.864724 0.960373i −0.0368385 0.0409133i
\(552\) −4.61817 2.66630i −0.196562 0.113485i
\(553\) 3.40035 1.96319i 0.144598 0.0834835i
\(554\) 3.89278 11.9807i 0.165388 0.509013i
\(555\) −9.16436 + 5.86447i −0.389005 + 0.248933i
\(556\) 4.41936 3.21085i 0.187422 0.136170i
\(557\) 26.5657i 1.12562i −0.826585 0.562812i \(-0.809719\pi\)
0.826585 0.562812i \(-0.190281\pi\)
\(558\) −1.72437 5.29401i −0.0729983 0.224113i
\(559\) −26.0716 −1.10271
\(560\) 4.22486 + 4.28186i 0.178533 + 0.180942i
\(561\) −9.49533 + 4.22759i −0.400893 + 0.178489i
\(562\) 12.7193 + 4.13274i 0.536530 + 0.174329i
\(563\) 15.5389 8.97139i 0.654887 0.378099i −0.135439 0.990786i \(-0.543245\pi\)
0.790326 + 0.612687i \(0.209911\pi\)
\(564\) −0.920599 + 1.59452i −0.0387642 + 0.0671415i
\(565\) 11.3491 13.8245i 0.477459 0.581600i
\(566\) −6.43497 19.8048i −0.270482 0.832458i
\(567\) −1.99915 1.80004i −0.0839564 0.0755947i
\(568\) 0.452413 1.01614i 0.0189828 0.0426362i
\(569\) 5.29422 1.12532i 0.221945 0.0471759i −0.0955967 0.995420i \(-0.530476\pi\)
0.317542 + 0.948244i \(0.397143\pi\)
\(570\) 0.580195 + 2.22485i 0.0243017 + 0.0931886i
\(571\) 2.47359 23.5346i 0.103517 0.984894i −0.812284 0.583262i \(-0.801776\pi\)
0.915801 0.401633i \(-0.131557\pi\)
\(572\) −2.89255 + 13.6084i −0.120943 + 0.568994i
\(573\) 10.8978 14.9996i 0.455264 0.626617i
\(574\) 11.2736 + 8.19076i 0.470552 + 0.341876i
\(575\) 2.43141 + 26.5519i 0.101397 + 1.10729i
\(576\) −0.104528 + 0.994522i −0.00435535 + 0.0414384i
\(577\) 13.7977 1.45020i 0.574406 0.0603725i 0.187128 0.982335i \(-0.440082\pi\)
0.387278 + 0.921963i \(0.373415\pi\)
\(578\) 0.958869 + 4.51112i 0.0398837 + 0.187638i
\(579\) −11.6286 5.17740i −0.483269 0.215165i
\(580\) −1.54635 + 2.34659i −0.0642086 + 0.0974368i
\(581\) −6.12650 18.8554i −0.254170 0.782255i
\(582\) 12.9514 11.6615i 0.536854 0.483386i
\(583\) −21.1501 12.2110i −0.875948 0.505729i
\(584\) −0.637345 1.10391i −0.0263735 0.0456803i
\(585\) 13.7278 + 2.26868i 0.567576 + 0.0937983i
\(586\) 1.30336 0.580295i 0.0538414 0.0239718i
\(587\) 21.9812 + 30.2545i 0.907260 + 1.24874i 0.968094 + 0.250589i \(0.0806242\pi\)
−0.0608334 + 0.998148i \(0.519376\pi\)
\(588\) 0.236757i 0.00976371i
\(589\) 4.95601 2.86614i 0.204209 0.118097i
\(590\) −1.80320 11.9006i −0.0742365 0.489938i
\(591\) −13.2325 + 9.61395i −0.544311 + 0.395465i
\(592\) −1.97908 4.44508i −0.0813396 0.182692i
\(593\) −7.53614 2.44864i −0.309472 0.100554i 0.150163 0.988661i \(-0.452020\pi\)
−0.459636 + 0.888108i \(0.652020\pi\)
\(594\) −1.11790 1.93626i −0.0458680 0.0794458i
\(595\) −10.1962 + 26.0392i −0.418004 + 1.06750i
\(596\) −13.5623 15.0624i −0.555533 0.616982i
\(597\) −5.27297 + 1.71329i −0.215808 + 0.0701204i
\(598\) −24.6593 22.2033i −1.00839 0.907961i
\(599\) −18.7013 8.32634i −0.764113 0.340205i −0.0125977 0.999921i \(-0.504010\pi\)
−0.751515 + 0.659716i \(0.770677\pi\)
\(600\) 4.36324 2.44174i 0.178129 0.0996837i
\(601\) 4.35787 + 41.4624i 0.177761 + 1.69129i 0.612294 + 0.790630i \(0.290247\pi\)
−0.434532 + 0.900656i \(0.643086\pi\)
\(602\) 11.2095 + 1.17817i 0.456866 + 0.0480185i
\(603\) −0.589859 + 2.77507i −0.0240209 + 0.113010i
\(604\) 2.45097 + 1.78073i 0.0997285 + 0.0724570i
\(605\) 11.9154 + 6.17211i 0.484429 + 0.250932i
\(606\) 11.6018 + 2.46605i 0.471292 + 0.100176i
\(607\) 29.3440 + 3.08418i 1.19104 + 0.125183i 0.679236 0.733920i \(-0.262311\pi\)
0.511802 + 0.859103i \(0.328978\pi\)
\(608\) −1.02262 + 0.107482i −0.0414729 + 0.00435898i
\(609\) 3.30705 0.702936i 0.134009 0.0284844i
\(610\) −4.32953 + 15.7355i −0.175297 + 0.637110i
\(611\) −7.66618 + 8.51416i −0.310141 + 0.344446i
\(612\) −4.42133 + 1.43658i −0.178722 + 0.0580702i
\(613\) −15.3005 + 13.7767i −0.617983 + 0.556434i −0.917540 0.397644i \(-0.869828\pi\)
0.299557 + 0.954078i \(0.403161\pi\)
\(614\) 12.4827 21.6207i 0.503761 0.872540i
\(615\) 9.05028 7.22889i 0.364942 0.291497i
\(616\) 1.85861 5.72021i 0.0748854 0.230474i
\(617\) 11.0070 + 24.7222i 0.443126 + 0.995278i 0.987671 + 0.156546i \(0.0500360\pi\)
−0.544544 + 0.838732i \(0.683297\pi\)
\(618\) −7.76654 10.6897i −0.312416 0.430004i
\(619\) 3.50352 0.140818 0.0704092 0.997518i \(-0.477570\pi\)
0.0704092 + 0.997518i \(0.477570\pi\)
\(620\) −8.75063 8.85587i −0.351434 0.355660i
\(621\) 5.33260 0.213990
\(622\) −12.1216 16.6839i −0.486030 0.668963i
\(623\) 11.8060 + 26.5166i 0.472996 + 1.06237i
\(624\) −1.92287 + 5.91799i −0.0769765 + 0.236909i
\(625\) −22.5579 10.7769i −0.902316 0.431075i
\(626\) −3.73654 + 6.47187i −0.149342 + 0.258668i
\(627\) 1.70848 1.53832i 0.0682299 0.0614345i
\(628\) 9.33870 3.03433i 0.372655 0.121083i
\(629\) 15.1359 16.8101i 0.603506 0.670261i
\(630\) −5.79977 1.59577i −0.231068 0.0635772i
\(631\) 10.2703 2.18303i 0.408856 0.0869051i 0.00110775 0.999999i \(-0.499647\pi\)
0.407748 + 0.913094i \(0.366314\pi\)
\(632\) 1.45156 0.152565i 0.0577401 0.00606872i
\(633\) −5.52332 0.580524i −0.219532 0.0230738i
\(634\) 4.43524 + 0.942740i 0.176146 + 0.0374410i
\(635\) 9.70138 18.7287i 0.384988 0.743226i
\(636\) −8.83703 6.42048i −0.350411 0.254589i
\(637\) 0.306302 1.44104i 0.0121361 0.0570961i
\(638\) 2.79455 + 0.293719i 0.110637 + 0.0116285i
\(639\) 0.116267 + 1.10621i 0.00459945 + 0.0437609i
\(640\) 0.787328 + 2.09287i 0.0311219 + 0.0827280i
\(641\) 23.2014 + 10.3299i 0.916399 + 0.408007i 0.810076 0.586324i \(-0.199426\pi\)
0.106323 + 0.994332i \(0.466092\pi\)
\(642\) 6.97277 + 6.27831i 0.275193 + 0.247785i
\(643\) 37.3271 12.1283i 1.47204 0.478293i 0.540313 0.841464i \(-0.318306\pi\)
0.931723 + 0.363171i \(0.118306\pi\)
\(644\) 9.59891 + 10.6607i 0.378250 + 0.420089i
\(645\) 3.41603 8.72386i 0.134506 0.343502i
\(646\) −2.39011 4.13980i −0.0940378 0.162878i
\(647\) 14.8728 + 4.83245i 0.584708 + 0.189983i 0.586409 0.810015i \(-0.300541\pi\)
−0.00170032 + 0.999999i \(0.500541\pi\)
\(648\) −0.406737 0.913545i −0.0159781 0.0358875i
\(649\) −9.73649 + 7.07397i −0.382191 + 0.277678i
\(650\) 29.7162 9.21693i 1.16556 0.361518i
\(651\) 0.0108460 + 14.9780i 0.000425090 + 0.587033i
\(652\) 8.59340i 0.336543i
\(653\) 6.27788 + 8.64076i 0.245673 + 0.338139i 0.913990 0.405737i \(-0.132985\pi\)
−0.668317 + 0.743876i \(0.732985\pi\)
\(654\) −10.3387 + 4.60308i −0.404274 + 0.179995i
\(655\) 1.04519 6.32447i 0.0408390 0.247118i
\(656\) 2.59002 + 4.48605i 0.101123 + 0.175151i
\(657\) 1.10391 + 0.637345i 0.0430678 + 0.0248652i
\(658\) 3.68083 3.31423i 0.143494 0.129202i
\(659\) 1.42125 + 4.37417i 0.0553642 + 0.170393i 0.974915 0.222578i \(-0.0714472\pi\)
−0.919551 + 0.392971i \(0.871447\pi\)
\(660\) −4.17451 2.75091i −0.162493 0.107079i
\(661\) −37.7224 16.7951i −1.46723 0.653254i −0.491233 0.871028i \(-0.663454\pi\)
−0.975999 + 0.217774i \(0.930120\pi\)
\(662\) 6.38169 + 30.0235i 0.248031 + 1.16690i
\(663\) −28.7693 + 3.02377i −1.11731 + 0.117434i
\(664\) 0.770358 7.32946i 0.0298957 0.284438i
\(665\) 0.365097 6.17449i 0.0141579 0.239436i
\(666\) 3.93647 + 2.86001i 0.152535 + 0.110823i
\(667\) −3.93933 + 5.42202i −0.152531 + 0.209942i
\(668\) −3.75293 + 17.6562i −0.145205 + 0.683138i
\(669\) 1.38431 13.1709i 0.0535206 0.509215i
\(670\) 1.60081 + 6.13857i 0.0618449 + 0.237154i
\(671\) 15.9617 3.39276i 0.616194 0.130976i
\(672\) 1.09417 2.45755i 0.0422086 0.0948020i
\(673\) −17.7826 16.0115i −0.685468 0.617198i 0.250985 0.967991i \(-0.419246\pi\)
−0.936453 + 0.350793i \(0.885912\pi\)
\(674\) 8.51760 + 26.2145i 0.328086 + 1.00974i
\(675\) −2.55781 + 4.29623i −0.0984501 + 0.165362i
\(676\) −12.8600 + 22.2742i −0.494616 + 0.856701i
\(677\) 21.0276 12.1403i 0.808154 0.466588i −0.0381601 0.999272i \(-0.512150\pi\)
0.846315 + 0.532683i \(0.178816\pi\)
\(678\) −7.60747 2.47182i −0.292163 0.0949295i
\(679\) −42.8299 + 19.0691i −1.64366 + 0.731804i
\(680\) −7.39959 + 7.30107i −0.283761 + 0.279983i
\(681\) −16.8133 −0.644287
\(682\) −3.83820 + 11.8419i −0.146972 + 0.453451i
\(683\) 39.3515i 1.50575i 0.658166 + 0.752873i \(0.271332\pi\)
−0.658166 + 0.752873i \(0.728668\pi\)
\(684\) 0.831878 0.604395i 0.0318077 0.0231096i
\(685\) −13.9276 21.7645i −0.532144 0.831578i
\(686\) 5.62224 17.3035i 0.214658 0.660650i
\(687\) 9.34493 5.39530i 0.356531 0.205844i
\(688\) 3.62853 + 2.09493i 0.138337 + 0.0798686i
\(689\) −45.4808 50.5115i −1.73268 1.92433i
\(690\) 10.6605 5.34209i 0.405836 0.203370i
\(691\) 26.5541 29.4913i 1.01016 1.12190i 0.0176415 0.999844i \(-0.494384\pi\)
0.992523 0.122057i \(-0.0389491\pi\)
\(692\) 7.83433 17.5962i 0.297817 0.668907i
\(693\) 1.25050 + 5.88315i 0.0475026 + 0.223482i
\(694\) 3.10099 + 29.5040i 0.117712 + 1.11996i
\(695\) 0.557517 + 12.2021i 0.0211478 + 0.462851i
\(696\) 1.22933 + 0.261302i 0.0465977 + 0.00990464i
\(697\) −14.1546 + 19.4822i −0.536145 + 0.737941i
\(698\) −16.4846 + 22.6891i −0.623951 + 0.858795i
\(699\) 13.0389 + 2.77151i 0.493178 + 0.104828i
\(700\) −13.1930 + 2.61996i −0.498648 + 0.0990252i
\(701\) 4.72270 + 44.9335i 0.178374 + 1.69712i 0.607862 + 0.794043i \(0.292027\pi\)
−0.429488 + 0.903073i \(0.641306\pi\)
\(702\) −1.29374 6.08657i −0.0488291 0.229723i
\(703\) −2.03500 + 4.57069i −0.0767515 + 0.172387i
\(704\) 1.49604 1.66152i 0.0563843 0.0626211i
\(705\) −1.84447 3.68075i −0.0694669 0.138625i
\(706\) 15.7216 + 17.4606i 0.591689 + 0.657137i
\(707\) −27.6328 15.9538i −1.03924 0.600004i
\(708\) −4.66168 + 2.69142i −0.175196 + 0.101150i
\(709\) −11.1480 + 34.3101i −0.418673 + 1.28854i 0.490252 + 0.871581i \(0.336905\pi\)
−0.908924 + 0.416961i \(0.863095\pi\)
\(710\) 1.34061 + 2.09495i 0.0503120 + 0.0786222i
\(711\) −1.18081 + 0.857907i −0.0442837 + 0.0321740i
\(712\) 10.7899i 0.404367i
\(713\) −19.8829 22.0501i −0.744621 0.825782i
\(714\) 12.5060 0.468025
\(715\) −21.8495 22.1443i −0.817125 0.828150i
\(716\) −22.7502 + 10.1290i −0.850215 + 0.378540i
\(717\) 6.84629 + 2.22449i 0.255679 + 0.0830753i
\(718\) 18.1538 10.4811i 0.677495 0.391152i
\(719\) −8.39465 + 14.5400i −0.313068 + 0.542249i −0.979025 0.203741i \(-0.934690\pi\)
0.665957 + 0.745990i \(0.268023\pi\)
\(720\) −1.72828 1.41882i −0.0644093 0.0528762i
\(721\) 10.9841 + 33.8055i 0.409068 + 1.25898i
\(722\) −13.3340 12.0060i −0.496241 0.446817i
\(723\) −5.98597 + 13.4447i −0.222621 + 0.500014i
\(724\) 16.8238 3.57601i 0.625251 0.132901i
\(725\) −2.47876 5.77444i −0.0920587 0.214457i
\(726\) 0.627295 5.96831i 0.0232811 0.221505i
\(727\) 1.94894 9.16903i 0.0722821 0.340061i −0.927115 0.374777i \(-0.877719\pi\)
0.999397 + 0.0347161i \(0.0110527\pi\)
\(728\) 9.83918 13.5425i 0.364664 0.501917i
\(729\) 0.809017 + 0.587785i 0.0299636 + 0.0217698i
\(730\) 2.84532 + 0.168244i 0.105310 + 0.00622698i
\(731\) −2.03602 + 19.3714i −0.0753048 + 0.716478i
\(732\) 7.25864 0.762914i 0.268287 0.0281981i
\(733\) −8.20898 38.6202i −0.303206 1.42647i −0.820982 0.570954i \(-0.806573\pi\)
0.517776 0.855516i \(-0.326760\pi\)
\(734\) −18.7538 8.34972i −0.692214 0.308194i
\(735\) 0.442055 + 0.291304i 0.0163054 + 0.0107449i
\(736\) 1.64786 + 5.07160i 0.0607411 + 0.186942i
\(737\) 4.71385 4.24437i 0.173637 0.156344i
\(738\) −4.48605 2.59002i −0.165134 0.0953401i
\(739\) 16.1140 + 27.9103i 0.592763 + 1.02670i 0.993858 + 0.110659i \(0.0352963\pi\)
−0.401095 + 0.916036i \(0.631370\pi\)
\(740\) 10.7345 + 1.77400i 0.394610 + 0.0652136i
\(741\) 5.84521 2.60246i 0.214729 0.0956036i
\(742\) 17.2719 + 23.7727i 0.634070 + 0.872723i
\(743\) 12.9685i 0.475770i −0.971293 0.237885i \(-0.923546\pi\)
0.971293 0.237885i \(-0.0764541\pi\)
\(744\) −2.26093 + 5.08804i −0.0828897 + 0.186537i
\(745\) 44.8103 6.78976i 1.64172 0.248757i
\(746\) −18.2353 + 13.2487i −0.667642 + 0.485070i
\(747\) 2.99758 + 6.73268i 0.109676 + 0.246336i
\(748\) 9.88522 + 3.21190i 0.361439 + 0.117439i
\(749\) −12.6204 21.8592i −0.461140 0.798719i
\(750\) −0.809460 + 11.1510i −0.0295573 + 0.407177i
\(751\) 23.4247 + 26.0157i 0.854778 + 0.949327i 0.999192 0.0401902i \(-0.0127964\pi\)
−0.144414 + 0.989517i \(0.546130\pi\)
\(752\) 1.75108 0.568961i 0.0638554 0.0207479i
\(753\) −17.9596 16.1709i −0.654482 0.589299i
\(754\) 7.14435 + 3.18087i 0.260182 + 0.115840i
\(755\) −6.34049 + 2.38526i −0.230754 + 0.0868085i
\(756\) 0.281194 + 2.67539i 0.0102269 + 0.0973028i
\(757\) 18.1514 + 1.90779i 0.659724 + 0.0693398i 0.428474 0.903554i \(-0.359052\pi\)
0.231251 + 0.972894i \(0.425718\pi\)
\(758\) −1.98267 + 9.32775i −0.0720140 + 0.338799i
\(759\) −9.64562 7.00795i −0.350114 0.254373i
\(760\) 1.05754 2.04161i 0.0383612 0.0740570i
\(761\) 45.7246 + 9.71907i 1.65752 + 0.352316i 0.939192 0.343392i \(-0.111576\pi\)
0.718324 + 0.695708i \(0.244909\pi\)
\(762\) −9.38104 0.985988i −0.339839 0.0357186i
\(763\) 30.2776 3.18230i 1.09612 0.115207i
\(764\) −18.1354 + 3.85479i −0.656115 + 0.139461i
\(765\) 2.75769 10.0227i 0.0997046 0.362372i
\(766\) −2.48275 + 2.75737i −0.0897053 + 0.0996278i
\(767\) −31.8556 + 10.3505i −1.15024 + 0.373735i
\(768\) 0.743145 0.669131i 0.0268159 0.0241452i
\(769\) 18.7823 32.5319i 0.677308 1.17313i −0.298480 0.954416i \(-0.596480\pi\)
0.975788 0.218716i \(-0.0701869\pi\)
\(770\) 8.39351 + 10.5083i 0.302481 + 0.378694i
\(771\) 6.63618 20.4241i 0.238996 0.735555i
\(772\) 5.17740 + 11.6286i 0.186339 + 0.418524i
\(773\) −17.8249 24.5338i −0.641116 0.882421i 0.357559 0.933891i \(-0.383609\pi\)
−0.998675 + 0.0514702i \(0.983609\pi\)
\(774\) −4.18987 −0.150602
\(775\) 27.3017 5.44232i 0.980705 0.195494i
\(776\) −17.4279 −0.625624
\(777\) −7.69379 10.5896i −0.276013 0.379899i
\(778\) 5.69630 + 12.7941i 0.204222 + 0.458690i
\(779\) 1.64596 5.06573i 0.0589725 0.181499i
\(780\) −8.68373 10.8717i −0.310927 0.389268i
\(781\) 1.24344 2.15370i 0.0444938 0.0770656i
\(782\) −18.4229 + 16.5881i −0.658803 + 0.593189i
\(783\) −1.19528 + 0.388371i −0.0427159 + 0.0138793i
\(784\) −0.158422 + 0.175945i −0.00565791 + 0.00628375i
\(785\) −5.82478 + 21.1699i −0.207895 + 0.755586i
\(786\) −2.80411 + 0.596032i −0.100019 + 0.0212597i
\(787\) −20.4786 + 2.15239i −0.729984 + 0.0767245i −0.462227 0.886762i \(-0.652949\pi\)
−0.267758 + 0.963486i \(0.586283\pi\)
\(788\) 16.2666 + 1.70969i 0.579474 + 0.0609052i
\(789\) 14.6255 + 3.10875i 0.520682 + 0.110674i
\(790\) −1.50113 + 2.89796i −0.0534078 + 0.103105i
\(791\) 17.4086 + 12.6481i 0.618978 + 0.449714i
\(792\) −0.464849 + 2.18694i −0.0165177 + 0.0777097i
\(793\) 45.1672 + 4.74727i 1.60393 + 0.168580i
\(794\) −1.56294 14.8704i −0.0554667 0.527731i
\(795\) 22.8608 8.60012i 0.810789 0.305015i
\(796\) 5.06500 + 2.25508i 0.179524 + 0.0799293i
\(797\) 27.6145 + 24.8642i 0.978154 + 0.880734i 0.992875 0.119157i \(-0.0380193\pi\)
−0.0147209 + 0.999892i \(0.504686\pi\)
\(798\) −2.63075 + 0.854784i −0.0931277 + 0.0302590i
\(799\) 5.72740 + 6.36093i 0.202621 + 0.225033i
\(800\) −4.87637 1.10501i −0.172406 0.0390681i
\(801\) −5.39493 9.34430i −0.190621 0.330165i
\(802\) 14.7113 + 4.77999i 0.519473 + 0.168787i
\(803\) −1.15918 2.60356i −0.0409066 0.0918777i
\(804\) 2.29523 1.66759i 0.0809467 0.0588112i
\(805\) −31.7152 + 4.80555i −1.11781 + 0.169373i
\(806\) −20.3439 + 28.0437i −0.716584 + 0.987796i
\(807\) 12.9670i 0.456462i
\(808\) −6.97173 9.59577i −0.245265 0.337578i
\(809\) 22.8768 10.1854i 0.804304 0.358099i 0.0369455 0.999317i \(-0.488237\pi\)
0.767359 + 0.641218i \(0.221571\pi\)
\(810\) 2.20614 + 0.364590i 0.0775160 + 0.0128104i
\(811\) 11.9855 + 20.7595i 0.420868 + 0.728964i 0.996025 0.0890790i \(-0.0283924\pi\)
−0.575157 + 0.818043i \(0.695059\pi\)
\(812\) −2.92797 1.69047i −0.102752 0.0593237i
\(813\) 18.8609 16.9825i 0.661482 0.595601i
\(814\) −3.36175 10.3464i −0.117829 0.362641i
\(815\) −16.0449 10.5732i −0.562029 0.370364i
\(816\) 4.24695 + 1.89086i 0.148673 + 0.0661934i
\(817\) −0.895739 4.21412i −0.0313379 0.147433i
\(818\) 17.8153 1.87246i 0.622896 0.0654690i
\(819\) −1.74974 + 16.6477i −0.0611410 + 0.581718i
\(820\) −11.5627 0.683704i −0.403788 0.0238760i
\(821\) 14.2143 + 10.3273i 0.496081 + 0.360424i 0.807518 0.589843i \(-0.200810\pi\)
−0.311437 + 0.950267i \(0.600810\pi\)
\(822\) −6.79226 + 9.34875i −0.236907 + 0.326075i
\(823\) −7.21870 + 33.9613i −0.251628 + 1.18382i 0.652914 + 0.757432i \(0.273546\pi\)
−0.904542 + 0.426385i \(0.859787\pi\)
\(824\) −1.38116 + 13.1408i −0.0481149 + 0.457783i
\(825\) 10.2726 4.40964i 0.357644 0.153524i
\(826\) 14.1641 3.01066i 0.492831 0.104754i
\(827\) 11.4928 25.8133i 0.399644 0.897615i −0.595877 0.803075i \(-0.703196\pi\)
0.995521 0.0945392i \(-0.0301378\pi\)
\(828\) −3.96289 3.56821i −0.137720 0.124004i
\(829\) 6.72499 + 20.6974i 0.233568 + 0.718850i 0.997308 + 0.0733252i \(0.0233611\pi\)
−0.763740 + 0.645524i \(0.776639\pi\)
\(830\) 12.7372 + 10.4564i 0.442113 + 0.362949i
\(831\) 6.29864 10.9096i 0.218498 0.378449i
\(832\) 5.38888 3.11127i 0.186826 0.107864i
\(833\) −1.04678 0.340120i −0.0362689 0.0117845i
\(834\) 4.99035 2.22185i 0.172802 0.0769363i
\(835\) −28.3486 28.7311i −0.981045 0.994282i
\(836\) −2.29898 −0.0795119
\(837\) −0.585999 5.53684i −0.0202551 0.191381i
\(838\) 13.8177i 0.477324i
\(839\) −16.0796 + 11.6825i −0.555130 + 0.403326i −0.829673 0.558249i \(-0.811473\pi\)
0.274543 + 0.961575i \(0.411473\pi\)
\(840\) 3.24228 + 5.06669i 0.111869 + 0.174818i
\(841\) −8.47339 + 26.0784i −0.292186 + 0.899256i
\(842\) −19.7849 + 11.4228i −0.681833 + 0.393656i
\(843\) 11.5821 + 6.68691i 0.398908 + 0.230309i
\(844\) 3.71618 + 4.12724i 0.127916 + 0.142065i
\(845\) −25.7658 51.4172i −0.886372 1.76881i
\(846\) −1.23200 + 1.36828i −0.0423571 + 0.0470423i
\(847\) −6.56633 + 14.7482i −0.225622 + 0.506755i
\(848\) 2.27105 + 10.6845i 0.0779883 + 0.366906i
\(849\) −2.17670 20.7099i −0.0747042 0.710763i
\(850\) −4.52761 22.7991i −0.155296 0.782002i
\(851\) 25.3801 + 5.39470i 0.870018 + 0.184928i
\(852\) 0.653794 0.899870i 0.0223986 0.0308290i
\(853\) 1.68468 2.31876i 0.0576823 0.0793929i −0.779201 0.626774i \(-0.784375\pi\)
0.836884 + 0.547381i \(0.184375\pi\)
\(854\) −19.2051 4.08218i −0.657186 0.139689i
\(855\) 0.104944 + 2.29686i 0.00358902 + 0.0785509i
\(856\) −0.980769 9.33139i −0.0335220 0.318940i
\(857\) 4.20738 + 19.7942i 0.143721 + 0.676156i 0.989726 + 0.142980i \(0.0456683\pi\)
−0.846004 + 0.533176i \(0.820998\pi\)
\(858\) −5.65867 + 12.7096i −0.193184 + 0.433898i
\(859\) 28.0631 31.1673i 0.957501 1.06341i −0.0404338 0.999182i \(-0.512874\pi\)
0.997935 0.0642307i \(-0.0204593\pi\)
\(860\) −8.37601 + 4.19733i −0.285619 + 0.143128i
\(861\) 9.32431 + 10.3557i 0.317771 + 0.352921i
\(862\) 22.1930 + 12.8131i 0.755896 + 0.436417i
\(863\) −13.0786 + 7.55091i −0.445200 + 0.257036i −0.705801 0.708410i \(-0.749413\pi\)
0.260601 + 0.965447i \(0.416079\pi\)
\(864\) −0.309017 + 0.951057i −0.0105130 + 0.0323556i
\(865\) 23.2150 + 36.2778i 0.789332 + 1.23348i
\(866\) −7.75610 + 5.63513i −0.263563 + 0.191490i
\(867\) 4.61191i 0.156629i
\(868\) 10.0142 11.1381i 0.339902 0.378050i
\(869\) 3.26328 0.110699
\(870\) −2.00044 + 1.97381i −0.0678213 + 0.0669183i
\(871\) 16.1275 7.18043i 0.546460 0.243300i
\(872\) 10.7632 + 3.49718i 0.364488 + 0.118429i
\(873\) 15.0930 8.71394i 0.510820 0.294922i
\(874\) 2.74164 4.74867i 0.0927375 0.160626i
\(875\) 11.3407 27.8565i 0.383386 0.941720i
\(876\) −0.393901 1.21230i −0.0133087 0.0409599i
\(877\) 15.7583 + 14.1888i 0.532119 + 0.479123i 0.890837 0.454324i \(-0.150119\pi\)
−0.358717 + 0.933446i \(0.616786\pi\)
\(878\) −15.6770 + 35.2111i −0.529072 + 1.18832i
\(879\) 1.39553 0.296629i 0.0470701 0.0100051i
\(880\) 1.26155 + 4.83762i 0.0425269 + 0.163076i
\(881\) −4.73056 + 45.0082i −0.159376 + 1.51637i 0.563921 + 0.825829i \(0.309292\pi\)
−0.723297 + 0.690537i \(0.757374\pi\)
\(882\) 0.0492246 0.231584i 0.00165748 0.00779783i
\(883\) 20.9909 28.8916i 0.706402 0.972278i −0.293465 0.955970i \(-0.594809\pi\)
0.999867 0.0163087i \(-0.00519146\pi\)
\(884\) 23.4030 + 17.0033i 0.787129 + 0.571883i
\(885\) 0.710470 12.0154i 0.0238822 0.403893i
\(886\) 2.10551 20.0325i 0.0707358 0.673007i
\(887\) 0.398795 0.0419150i 0.0133902 0.00140737i −0.0978310 0.995203i \(-0.531190\pi\)
0.111221 + 0.993796i \(0.464524\pi\)
\(888\) −1.01165 4.75942i −0.0339486 0.159716i
\(889\) 23.1814 + 10.3210i 0.777478 + 0.346156i
\(890\) −20.1460 13.2757i −0.675295 0.445004i
\(891\) −0.690901 2.12637i −0.0231460 0.0712362i
\(892\) −9.84177 + 8.86157i −0.329527 + 0.296707i
\(893\) −1.63958 0.946613i −0.0548665 0.0316772i
\(894\) −10.1343 17.5530i −0.338940 0.587062i
\(895\) 9.07946 54.9401i 0.303493 1.83644i
\(896\) −2.45755 + 1.09417i −0.0821009 + 0.0365537i
\(897\) −19.5041 26.8451i −0.651223 0.896331i
\(898\) 9.08702i 0.303238i
\(899\) 6.06258 + 3.49438i 0.202198 + 0.116544i
\(900\) 4.77556 1.48122i 0.159185 0.0493738i
\(901\) −41.0821 + 29.8479i −1.36864 + 0.994378i
\(902\) 4.71064 + 10.5803i 0.156847 + 0.352285i
\(903\) 10.7196 + 3.48301i 0.356726 + 0.115907i
\(904\) 3.99948 + 6.92731i 0.133021 + 0.230399i
\(905\) −14.0230 + 35.8119i −0.466140 + 1.19043i
\(906\) 2.02717 + 2.25140i 0.0673483 + 0.0747979i
\(907\) −10.3272 + 3.35553i −0.342911 + 0.111418i −0.475409 0.879765i \(-0.657700\pi\)
0.132499 + 0.991183i \(0.457700\pi\)
\(908\) 12.4947 + 11.2503i 0.414651 + 0.373354i
\(909\) 10.8356 + 4.82431i 0.359394 + 0.160012i
\(910\) 13.1794 + 35.0334i 0.436893 + 1.16135i
\(911\) 1.09901 + 10.4564i 0.0364119 + 0.346436i 0.997527 + 0.0702872i \(0.0223916\pi\)
−0.961115 + 0.276149i \(0.910942\pi\)
\(912\) −1.02262 0.107482i −0.0338625 0.00355909i
\(913\) 3.42586 16.1174i 0.113380 0.533409i
\(914\) 14.8212 + 10.7682i 0.490243 + 0.356182i
\(915\) −7.50650 + 14.4914i −0.248157 + 0.479072i
\(916\) −10.5548 2.24349i −0.348740 0.0741270i
\(917\) 7.66967 + 0.806115i 0.253275 + 0.0266203i
\(918\) −4.62339 + 0.485938i −0.152595 + 0.0160384i
\(919\) 48.2392 10.2536i 1.59127 0.338234i 0.674692 0.738100i \(-0.264277\pi\)
0.916574 + 0.399866i \(0.130943\pi\)
\(920\) −11.4968 3.16329i −0.379039 0.104290i
\(921\) 16.7051 18.5529i 0.550453 0.611340i
\(922\) 38.1735 12.4033i 1.25718 0.408482i
\(923\) 5.14356 4.63128i 0.169302 0.152440i
\(924\) 3.00729 5.20878i 0.0989326 0.171356i
\(925\) −16.5199 + 17.8600i −0.543172 + 0.587232i
\(926\) 7.93414 24.4188i 0.260732 0.802451i
\(927\) −5.37430 12.0709i −0.176515 0.396460i
\(928\) −0.738726 1.01677i −0.0242499 0.0333771i
\(929\) 8.37303 0.274710 0.137355 0.990522i \(-0.456140\pi\)
0.137355 + 0.990522i \(0.456140\pi\)
\(930\) −6.71817 10.4817i −0.220298 0.343709i
\(931\) 0.243448 0.00797867
\(932\) −7.83531 10.7844i −0.256654 0.353254i
\(933\) −8.38790 18.8395i −0.274607 0.616779i
\(934\) 7.54572 23.2234i 0.246904 0.759891i
\(935\) −18.1597 + 14.5050i −0.593885 + 0.474365i
\(936\) −3.11127 + 5.38888i −0.101695 + 0.176141i
\(937\) 0.871875 0.785040i 0.0284829 0.0256461i −0.654766 0.755831i \(-0.727233\pi\)
0.683249 + 0.730185i \(0.260566\pi\)
\(938\) −7.25851 + 2.35843i −0.236999 + 0.0770056i
\(939\) −5.00046 + 5.55358i −0.163184 + 0.181234i
\(940\) −1.09219 + 3.96953i −0.0356234 + 0.129472i
\(941\) 27.8554 5.92085i 0.908060 0.193014i 0.269874 0.962896i \(-0.413018\pi\)
0.638187 + 0.769882i \(0.279685\pi\)
\(942\) 9.76550 1.02640i 0.318177 0.0334418i
\(943\) −27.4718 2.88740i −0.894605 0.0940267i
\(944\) 5.26521 + 1.11916i 0.171368 + 0.0364254i
\(945\) −5.34125 2.76674i −0.173751 0.0900021i
\(946\) 7.57864 + 5.50621i 0.246403 + 0.179022i
\(947\) 2.83068 13.3173i 0.0919846 0.432753i −0.907923 0.419138i \(-0.862332\pi\)
0.999907 0.0136158i \(-0.00433419\pi\)
\(948\) 1.45156 + 0.152565i 0.0471446 + 0.00495509i
\(949\) −0.829100 7.88836i −0.0269137 0.256067i
\(950\) 2.51074 + 4.48654i 0.0814592 + 0.145563i
\(951\) 4.14232 + 1.84428i 0.134324 + 0.0598048i
\(952\) −9.29377 8.36815i −0.301213 0.271213i
\(953\) 34.1808 11.1060i 1.10723 0.359759i 0.302346 0.953198i \(-0.402230\pi\)
0.804879 + 0.593439i \(0.202230\pi\)
\(954\) −7.30903 8.11750i −0.236639 0.262814i
\(955\) 15.1162 38.6038i 0.489149 1.24919i
\(956\) −3.59931 6.23419i −0.116410 0.201628i
\(957\) 2.67242 + 0.868321i 0.0863870 + 0.0280688i
\(958\) 6.12042 + 13.7467i 0.197742 + 0.444136i
\(959\) 25.1493 18.2720i 0.812112 0.590034i
\(960\) 0.334990 + 2.21083i 0.0108118 + 0.0713543i
\(961\) −20.7097 + 23.0675i −0.668054 + 0.744113i
\(962\) 30.2773i 0.976180i
\(963\) 5.51507 + 7.59084i 0.177721 + 0.244611i
\(964\) 13.4447 5.98597i 0.433025 0.192795i
\(965\) −28.0823 4.64091i −0.904001 0.149396i
\(966\) 7.17267 + 12.4234i 0.230777 + 0.399717i
\(967\) −33.7487 19.4848i −1.08528 0.626589i −0.152967 0.988231i \(-0.548883\pi\)
−0.932317 + 0.361642i \(0.882216\pi\)
\(968\) −4.45975 + 4.01558i −0.143342 + 0.129066i
\(969\) −1.47717 4.54627i −0.0474536 0.146047i
\(970\) 21.4431 32.5400i 0.688496 1.04480i
\(971\) 50.6464 + 22.5492i 1.62532 + 0.723639i 0.998459 0.0554933i \(-0.0176732\pi\)
0.626860 + 0.779132i \(0.284340\pi\)
\(972\) −0.207912 0.978148i −0.00666877 0.0313741i
\(973\) −14.6146 + 1.53606i −0.468523 + 0.0492438i
\(974\) 3.33048 31.6874i 0.106716 1.01533i
\(975\) 30.9831 2.83718i 0.992253 0.0908625i
\(976\) −5.90471 4.29002i −0.189005 0.137320i
\(977\) 23.6905 32.6071i 0.757926 1.04320i −0.239458 0.970907i \(-0.576970\pi\)
0.997384 0.0722883i \(-0.0230302\pi\)
\(978\) −1.78667 + 8.40561i −0.0571313 + 0.268782i
\(979\) −2.52164 + 23.9918i −0.0805921 + 0.766783i
\(980\) −0.133590 0.512273i −0.00426739 0.0163640i
\(981\) −11.0698 + 2.35296i −0.353431 + 0.0751241i
\(982\) −2.38733 + 5.36203i −0.0761827 + 0.171109i
\(983\) −36.6580 33.0070i −1.16921 1.05276i −0.997714 0.0675751i \(-0.978474\pi\)
−0.171494 0.985185i \(-0.554860\pi\)
\(984\) 1.60072 + 4.92652i 0.0510292 + 0.157052i
\(985\) −23.2065 + 28.2682i −0.739420 + 0.900699i
\(986\) 2.92133 5.05990i 0.0930342 0.161140i
\(987\) 4.28946 2.47652i 0.136535 0.0788286i
\(988\) −6.08522 1.97721i −0.193597 0.0629034i
\(989\) −20.4113 + 9.08768i −0.649040 + 0.288971i
\(990\) −3.51134 3.55872i −0.111598 0.113104i
\(991\) −55.1238 −1.75106 −0.875532 0.483160i \(-0.839489\pi\)
−0.875532 + 0.483160i \(0.839489\pi\)
\(992\) 5.08476 2.26830i 0.161441 0.0720185i
\(993\) 30.6942i 0.974052i
\(994\) −2.42076 + 1.75878i −0.0767818 + 0.0557853i
\(995\) −10.4424 + 6.68234i −0.331048 + 0.211844i
\(996\) 2.27740 7.00913i 0.0721623 0.222093i
\(997\) −15.5161 + 8.95824i −0.491401 + 0.283710i −0.725155 0.688585i \(-0.758232\pi\)
0.233755 + 0.972296i \(0.424899\pi\)
\(998\) −18.3706 10.6063i −0.581512 0.335736i
\(999\) 3.25582 + 3.61595i 0.103010 + 0.114404i
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 930.2.bn.b.49.2 yes 144
5.4 even 2 inner 930.2.bn.b.49.13 yes 144
31.19 even 15 inner 930.2.bn.b.19.13 yes 144
155.19 even 30 inner 930.2.bn.b.19.2 144
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
930.2.bn.b.19.2 144 155.19 even 30 inner
930.2.bn.b.19.13 yes 144 31.19 even 15 inner
930.2.bn.b.49.2 yes 144 1.1 even 1 trivial
930.2.bn.b.49.13 yes 144 5.4 even 2 inner