Properties

Label 378.2.z.a.41.7
Level $378$
Weight $2$
Character 378.41
Analytic conductor $3.018$
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] = [378,2,Mod(41,378)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(378, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([17, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("378.41");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 378.z (of order \(18\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.01834519640\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(24\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 41.7
Character \(\chi\) \(=\) 378.41
Dual form 378.2.z.a.83.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.984808 + 0.173648i) q^{2} +(0.0283469 + 1.73182i) q^{3} +(0.939693 - 0.342020i) q^{4} +(2.71537 + 2.27847i) q^{5} +(-0.328643 - 1.70059i) q^{6} +(-1.56393 + 2.13404i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(-2.99839 + 0.0981834i) q^{9} +O(q^{10})\) \(q+(-0.984808 + 0.173648i) q^{2} +(0.0283469 + 1.73182i) q^{3} +(0.939693 - 0.342020i) q^{4} +(2.71537 + 2.27847i) q^{5} +(-0.328643 - 1.70059i) q^{6} +(-1.56393 + 2.13404i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(-2.99839 + 0.0981834i) q^{9} +(-3.06977 - 1.77233i) q^{10} +(1.42913 + 1.70317i) q^{11} +(0.618954 + 1.61768i) q^{12} +(0.837731 + 0.147715i) q^{13} +(1.16960 - 2.37319i) q^{14} +(-3.86892 + 4.76712i) q^{15} +(0.766044 - 0.642788i) q^{16} +(3.72130 - 6.44549i) q^{17} +(2.93579 - 0.617357i) q^{18} +(-3.28549 + 1.89688i) q^{19} +(3.33089 + 1.21235i) q^{20} +(-3.74010 - 2.64795i) q^{21} +(-1.70317 - 1.42913i) q^{22} +(-1.39191 - 3.82423i) q^{23} +(-0.890459 - 1.48563i) q^{24} +(1.31359 + 7.44972i) q^{25} -0.850655 q^{26} +(-0.255031 - 5.18989i) q^{27} +(-0.739727 + 2.54024i) q^{28} +(0.660968 - 0.116547i) q^{29} +(2.98234 - 5.36652i) q^{30} +(0.511255 + 1.40466i) q^{31} +(-0.642788 + 0.766044i) q^{32} +(-2.90907 + 2.52328i) q^{33} +(-2.54552 + 6.99376i) q^{34} +(-9.10898 + 2.23135i) q^{35} +(-2.78399 + 1.11777i) q^{36} +(-0.928886 + 1.60888i) q^{37} +(2.90618 - 2.43858i) q^{38} +(-0.232068 + 1.45499i) q^{39} +(-3.49081 - 0.615524i) q^{40} +(-1.60199 + 9.08534i) q^{41} +(4.14309 + 1.95826i) q^{42} +(-7.43999 + 6.24290i) q^{43} +(1.92546 + 1.11167i) q^{44} +(-8.36545 - 6.56513i) q^{45} +(2.03483 + 3.52443i) q^{46} +(11.7218 + 4.26638i) q^{47} +(1.13491 + 1.30843i) q^{48} +(-2.10826 - 6.67497i) q^{49} +(-2.58726 - 7.10844i) q^{50} +(11.2679 + 6.26191i) q^{51} +(0.837731 - 0.147715i) q^{52} -13.4606i q^{53} +(1.15237 + 5.06676i) q^{54} +7.88097i q^{55} +(0.287381 - 2.63010i) q^{56} +(-3.37818 - 5.63610i) q^{57} +(-0.630689 + 0.229552i) q^{58} +(-2.15673 - 1.80971i) q^{59} +(-2.00514 + 5.80287i) q^{60} +(-0.533089 + 1.46465i) q^{61} +(-0.747405 - 1.29454i) q^{62} +(4.47974 - 6.55224i) q^{63} +(0.500000 - 0.866025i) q^{64} +(1.93819 + 2.30984i) q^{65} +(2.42672 - 2.99010i) q^{66} +(1.46505 - 8.30872i) q^{67} +(1.29240 - 7.32954i) q^{68} +(6.58342 - 2.51893i) q^{69} +(8.58313 - 3.77921i) q^{70} +(11.5884 + 6.69059i) q^{71} +(2.54759 - 1.58423i) q^{72} +(5.45139 - 3.14736i) q^{73} +(0.635395 - 1.74573i) q^{74} +(-12.8643 + 2.48607i) q^{75} +(-2.43858 + 2.90618i) q^{76} +(-5.86970 + 0.386185i) q^{77} +(-0.0241134 - 1.47318i) q^{78} +(-0.102413 - 0.580815i) q^{79} +3.54466 q^{80} +(8.98072 - 0.588785i) q^{81} -9.22550i q^{82} +(-1.26685 - 7.18468i) q^{83} +(-4.42020 - 1.20907i) q^{84} +(24.7905 - 9.02302i) q^{85} +(6.24290 - 7.43999i) q^{86} +(0.220574 + 1.14137i) q^{87} +(-2.08925 - 0.760425i) q^{88} +(8.62919 + 14.9462i) q^{89} +(9.37839 + 5.01275i) q^{90} +(-1.62538 + 1.55674i) q^{91} +(-2.61593 - 3.11754i) q^{92} +(-2.41813 + 0.925219i) q^{93} +(-12.2846 - 2.16610i) q^{94} +(-13.2433 - 2.33515i) q^{95} +(-1.34487 - 1.09148i) q^{96} +(3.69346 + 4.40170i) q^{97} +(3.23533 + 6.20747i) q^{98} +(-4.45232 - 4.96646i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 144 q - 12 q^{9} + 12 q^{11} + 6 q^{14} + 12 q^{15} + 24 q^{21} - 60 q^{23} + 12 q^{29} - 72 q^{30} + 54 q^{35} - 12 q^{36} + 48 q^{39} + 24 q^{42} + 18 q^{49} - 60 q^{50} - 36 q^{51} + 6 q^{56} - 60 q^{57} - 36 q^{60} - 78 q^{63} + 72 q^{64} - 120 q^{65} + 36 q^{70} - 72 q^{71} - 24 q^{72} - 36 q^{74} + 66 q^{77} - 60 q^{78} - 72 q^{79} + 12 q^{84} - 72 q^{85} - 48 q^{86} - 18 q^{91} + 12 q^{92} + 24 q^{93} - 120 q^{95} + 36 q^{98} + 144 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(325\)
\(\chi(n)\) \(e\left(\frac{17}{18}\right)\) \(-1\)

Coefficient data

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



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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.984808 + 0.173648i −0.696364 + 0.122788i
\(3\) 0.0283469 + 1.73182i 0.0163661 + 0.999866i
\(4\) 0.939693 0.342020i 0.469846 0.171010i
\(5\) 2.71537 + 2.27847i 1.21435 + 1.01896i 0.999101 + 0.0424018i \(0.0135010\pi\)
0.215250 + 0.976559i \(0.430943\pi\)
\(6\) −0.328643 1.70059i −0.134168 0.694261i
\(7\) −1.56393 + 2.13404i −0.591109 + 0.806591i
\(8\) −0.866025 + 0.500000i −0.306186 + 0.176777i
\(9\) −2.99839 + 0.0981834i −0.999464 + 0.0327278i
\(10\) −3.06977 1.77233i −0.970746 0.560461i
\(11\) 1.42913 + 1.70317i 0.430899 + 0.513526i 0.937182 0.348842i \(-0.113425\pi\)
−0.506282 + 0.862368i \(0.668981\pi\)
\(12\) 0.618954 + 1.61768i 0.178677 + 0.466985i
\(13\) 0.837731 + 0.147715i 0.232345 + 0.0409687i 0.288608 0.957447i \(-0.406808\pi\)
−0.0562633 + 0.998416i \(0.517919\pi\)
\(14\) 1.16960 2.37319i 0.312588 0.634262i
\(15\) −3.86892 + 4.76712i −0.998950 + 1.23086i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) 3.72130 6.44549i 0.902549 1.56326i 0.0783742 0.996924i \(-0.475027\pi\)
0.824174 0.566336i \(-0.191640\pi\)
\(18\) 2.93579 0.617357i 0.691973 0.145512i
\(19\) −3.28549 + 1.89688i −0.753742 + 0.435173i −0.827045 0.562136i \(-0.809980\pi\)
0.0733021 + 0.997310i \(0.476646\pi\)
\(20\) 3.33089 + 1.21235i 0.744811 + 0.271089i
\(21\) −3.74010 2.64795i −0.816158 0.577829i
\(22\) −1.70317 1.42913i −0.363118 0.304692i
\(23\) −1.39191 3.82423i −0.290232 0.797407i −0.996032 0.0889955i \(-0.971634\pi\)
0.705800 0.708412i \(-0.250588\pi\)
\(24\) −0.890459 1.48563i −0.181764 0.303252i
\(25\) 1.31359 + 7.44972i 0.262717 + 1.48994i
\(26\) −0.850655 −0.166827
\(27\) −0.255031 5.18989i −0.0490807 0.998795i
\(28\) −0.739727 + 2.54024i −0.139795 + 0.480060i
\(29\) 0.660968 0.116547i 0.122739 0.0216421i −0.111941 0.993715i \(-0.535707\pi\)
0.234680 + 0.972073i \(0.424596\pi\)
\(30\) 2.98234 5.36652i 0.544498 0.979789i
\(31\) 0.511255 + 1.40466i 0.0918241 + 0.252285i 0.977100 0.212782i \(-0.0682525\pi\)
−0.885276 + 0.465067i \(0.846030\pi\)
\(32\) −0.642788 + 0.766044i −0.113630 + 0.135419i
\(33\) −2.90907 + 2.52328i −0.506405 + 0.439246i
\(34\) −2.54552 + 6.99376i −0.436553 + 1.19942i
\(35\) −9.10898 + 2.23135i −1.53970 + 0.377167i
\(36\) −2.78399 + 1.11777i −0.463998 + 0.186296i
\(37\) −0.928886 + 1.60888i −0.152708 + 0.264498i −0.932222 0.361887i \(-0.882133\pi\)
0.779514 + 0.626385i \(0.215466\pi\)
\(38\) 2.90618 2.43858i 0.471445 0.395590i
\(39\) −0.232068 + 1.45499i −0.0371606 + 0.232984i
\(40\) −3.49081 0.615524i −0.551946 0.0973229i
\(41\) −1.60199 + 9.08534i −0.250189 + 1.41889i 0.557938 + 0.829883i \(0.311593\pi\)
−0.808127 + 0.589009i \(0.799518\pi\)
\(42\) 4.14309 + 1.95826i 0.639293 + 0.302165i
\(43\) −7.43999 + 6.24290i −1.13459 + 0.952033i −0.999248 0.0387666i \(-0.987657\pi\)
−0.135340 + 0.990799i \(0.543213\pi\)
\(44\) 1.92546 + 1.11167i 0.290274 + 0.167590i
\(45\) −8.36545 6.56513i −1.24705 0.978672i
\(46\) 2.03483 + 3.52443i 0.300019 + 0.519649i
\(47\) 11.7218 + 4.26638i 1.70980 + 0.622316i 0.996880 0.0789301i \(-0.0251504\pi\)
0.712919 + 0.701246i \(0.247373\pi\)
\(48\) 1.13491 + 1.30843i 0.163810 + 0.188855i
\(49\) −2.10826 6.67497i −0.301180 0.953567i
\(50\) −2.58726 7.10844i −0.365894 1.00528i
\(51\) 11.2679 + 6.26191i 1.57782 + 0.876843i
\(52\) 0.837731 0.147715i 0.116172 0.0204843i
\(53\) 13.4606i 1.84896i −0.381229 0.924480i \(-0.624499\pi\)
0.381229 0.924480i \(-0.375501\pi\)
\(54\) 1.15237 + 5.06676i 0.156818 + 0.689498i
\(55\) 7.88097i 1.06267i
\(56\) 0.287381 2.63010i 0.0384029 0.351462i
\(57\) −3.37818 5.63610i −0.447451 0.746519i
\(58\) −0.630689 + 0.229552i −0.0828135 + 0.0301416i
\(59\) −2.15673 1.80971i −0.280782 0.235604i 0.491510 0.870872i \(-0.336445\pi\)
−0.772292 + 0.635268i \(0.780890\pi\)
\(60\) −2.00514 + 5.80287i −0.258863 + 0.749147i
\(61\) −0.533089 + 1.46465i −0.0682550 + 0.187529i −0.969130 0.246549i \(-0.920703\pi\)
0.900875 + 0.434078i \(0.142926\pi\)
\(62\) −0.747405 1.29454i −0.0949205 0.164407i
\(63\) 4.47974 6.55224i 0.564395 0.825505i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) 1.93819 + 2.30984i 0.240403 + 0.286501i
\(66\) 2.42672 2.99010i 0.298708 0.368055i
\(67\) 1.46505 8.30872i 0.178985 1.01507i −0.754459 0.656347i \(-0.772101\pi\)
0.933443 0.358725i \(-0.116788\pi\)
\(68\) 1.29240 7.32954i 0.156726 0.888837i
\(69\) 6.58342 2.51893i 0.792550 0.303244i
\(70\) 8.58313 3.77921i 1.02588 0.451702i
\(71\) 11.5884 + 6.69059i 1.37530 + 0.794027i 0.991589 0.129428i \(-0.0413142\pi\)
0.383706 + 0.923455i \(0.374648\pi\)
\(72\) 2.54759 1.58423i 0.300237 0.186703i
\(73\) 5.45139 3.14736i 0.638037 0.368371i −0.145821 0.989311i \(-0.546582\pi\)
0.783858 + 0.620940i \(0.213249\pi\)
\(74\) 0.635395 1.74573i 0.0738632 0.202937i
\(75\) −12.8643 + 2.48607i −1.48544 + 0.287067i
\(76\) −2.43858 + 2.90618i −0.279724 + 0.333362i
\(77\) −5.86970 + 0.386185i −0.668914 + 0.0440098i
\(78\) −0.0241134 1.47318i −0.00273031 0.166805i
\(79\) −0.102413 0.580815i −0.0115224 0.0653468i 0.978504 0.206226i \(-0.0661182\pi\)
−0.990027 + 0.140879i \(0.955007\pi\)
\(80\) 3.54466 0.396305
\(81\) 8.98072 0.588785i 0.997858 0.0654205i
\(82\) 9.22550i 1.01879i
\(83\) −1.26685 7.18468i −0.139055 0.788621i −0.971950 0.235189i \(-0.924429\pi\)
0.832894 0.553432i \(-0.186682\pi\)
\(84\) −4.42020 1.20907i −0.482283 0.131920i
\(85\) 24.7905 9.02302i 2.68891 0.978684i
\(86\) 6.24290 7.43999i 0.673189 0.802275i
\(87\) 0.220574 + 1.14137i 0.0236480 + 0.122368i
\(88\) −2.08925 0.760425i −0.222715 0.0810615i
\(89\) 8.62919 + 14.9462i 0.914692 + 1.58429i 0.807352 + 0.590071i \(0.200900\pi\)
0.107340 + 0.994222i \(0.465767\pi\)
\(90\) 9.37839 + 5.01275i 0.988569 + 0.528390i
\(91\) −1.62538 + 1.55674i −0.170386 + 0.163190i
\(92\) −2.61593 3.11754i −0.272729 0.325026i
\(93\) −2.41813 + 0.925219i −0.250748 + 0.0959407i
\(94\) −12.2846 2.16610i −1.26706 0.223416i
\(95\) −13.2433 2.33515i −1.35873 0.239581i
\(96\) −1.34487 1.09148i −0.137260 0.111398i
\(97\) 3.69346 + 4.40170i 0.375014 + 0.446925i 0.920234 0.391369i \(-0.127998\pi\)
−0.545220 + 0.838293i \(0.683554\pi\)
\(98\) 3.23533 + 6.20747i 0.326817 + 0.627049i
\(99\) −4.45232 4.96646i −0.447475 0.499148i
\(100\) 3.78232 + 6.55117i 0.378232 + 0.655117i
\(101\) −7.18729 2.61596i −0.715162 0.260298i −0.0412915 0.999147i \(-0.513147\pi\)
−0.673871 + 0.738849i \(0.735369\pi\)
\(102\) −12.1841 4.21013i −1.20640 0.416865i
\(103\) −1.62331 + 1.93458i −0.159949 + 0.190620i −0.840067 0.542483i \(-0.817484\pi\)
0.680117 + 0.733103i \(0.261929\pi\)
\(104\) −0.799354 + 0.290941i −0.0783831 + 0.0285291i
\(105\) −4.12251 15.7119i −0.402316 1.53332i
\(106\) 2.33742 + 13.2561i 0.227030 + 1.28755i
\(107\) 8.15918i 0.788778i 0.918944 + 0.394389i \(0.129044\pi\)
−0.918944 + 0.394389i \(0.870956\pi\)
\(108\) −2.01470 4.78968i −0.193864 0.460887i
\(109\) 9.75382 0.934247 0.467123 0.884192i \(-0.345290\pi\)
0.467123 + 0.884192i \(0.345290\pi\)
\(110\) −1.36852 7.76124i −0.130483 0.740005i
\(111\) −2.81262 1.56306i −0.266962 0.148359i
\(112\) 0.173696 + 2.64004i 0.0164128 + 0.249461i
\(113\) 7.27389 8.66869i 0.684270 0.815482i −0.306380 0.951909i \(-0.599118\pi\)
0.990650 + 0.136428i \(0.0435621\pi\)
\(114\) 4.30556 + 4.96386i 0.403252 + 0.464908i
\(115\) 4.93384 13.5556i 0.460083 1.26407i
\(116\) 0.581246 0.335582i 0.0539673 0.0311580i
\(117\) −2.52635 0.360655i −0.233561 0.0333426i
\(118\) 2.43821 + 1.40770i 0.224456 + 0.129590i
\(119\) 7.93508 + 18.0217i 0.727407 + 1.65205i
\(120\) 0.967023 6.06290i 0.0882767 0.553465i
\(121\) 1.05175 5.96477i 0.0956137 0.542252i
\(122\) 0.270656 1.53497i 0.0245041 0.138970i
\(123\) −15.7796 2.51682i −1.42280 0.226934i
\(124\) 0.960845 + 1.14509i 0.0862865 + 0.102832i
\(125\) −4.54539 + 7.87285i −0.406552 + 0.704169i
\(126\) −3.27390 + 7.23060i −0.291662 + 0.644153i
\(127\) −5.18385 8.97869i −0.459992 0.796730i 0.538968 0.842326i \(-0.318814\pi\)
−0.998960 + 0.0455966i \(0.985481\pi\)
\(128\) −0.342020 + 0.939693i −0.0302306 + 0.0830579i
\(129\) −11.0225 12.7078i −0.970474 1.11886i
\(130\) −2.30984 1.93819i −0.202587 0.169990i
\(131\) 6.60246 2.40310i 0.576859 0.209960i −0.0370807 0.999312i \(-0.511806\pi\)
0.613940 + 0.789353i \(0.289584\pi\)
\(132\) −1.87062 + 3.36607i −0.162817 + 0.292978i
\(133\) 1.09025 9.97794i 0.0945370 0.865197i
\(134\) 8.43690i 0.728837i
\(135\) 11.1325 14.6736i 0.958132 1.26290i
\(136\) 7.44261i 0.638198i
\(137\) 17.6831 3.11801i 1.51077 0.266390i 0.643972 0.765049i \(-0.277285\pi\)
0.866798 + 0.498659i \(0.166174\pi\)
\(138\) −6.04599 + 3.62386i −0.514669 + 0.308484i
\(139\) 3.42654 + 9.41434i 0.290635 + 0.798514i 0.995974 + 0.0896434i \(0.0285727\pi\)
−0.705339 + 0.708871i \(0.749205\pi\)
\(140\) −7.79648 + 5.21224i −0.658922 + 0.440515i
\(141\) −7.05633 + 20.4210i −0.594250 + 1.71976i
\(142\) −12.5742 4.57663i −1.05520 0.384063i
\(143\) 0.945644 + 1.63790i 0.0790788 + 0.136968i
\(144\) −2.23379 + 2.00254i −0.186149 + 0.166879i
\(145\) 2.06032 + 1.18953i 0.171100 + 0.0987848i
\(146\) −4.82204 + 4.04617i −0.399075 + 0.334864i
\(147\) 11.5001 3.84033i 0.948511 0.316745i
\(148\) −0.322599 + 1.82955i −0.0265174 + 0.150388i
\(149\) −15.6709 2.76320i −1.28381 0.226371i −0.510214 0.860048i \(-0.670434\pi\)
−0.773598 + 0.633677i \(0.781545\pi\)
\(150\) 12.2372 4.68217i 0.999162 0.382297i
\(151\) −6.19444 + 5.19775i −0.504096 + 0.422987i −0.859046 0.511898i \(-0.828942\pi\)
0.354950 + 0.934885i \(0.384498\pi\)
\(152\) 1.89688 3.28549i 0.153857 0.266488i
\(153\) −10.5251 + 19.6915i −0.850903 + 1.59196i
\(154\) 5.71346 1.39958i 0.460404 0.112781i
\(155\) −1.81223 + 4.97905i −0.145562 + 0.399927i
\(156\) 0.279562 + 1.44661i 0.0223829 + 0.115822i
\(157\) 5.95086 7.09196i 0.474930 0.566000i −0.474388 0.880316i \(-0.657331\pi\)
0.949318 + 0.314316i \(0.101775\pi\)
\(158\) 0.201715 + 0.554207i 0.0160476 + 0.0440903i
\(159\) 23.3114 0.381567i 1.84871 0.0302603i
\(160\) −3.49081 + 0.615524i −0.275973 + 0.0486615i
\(161\) 10.3379 + 3.01044i 0.814741 + 0.237256i
\(162\) −8.74204 + 2.13933i −0.686840 + 0.168081i
\(163\) −7.87094 −0.616500 −0.308250 0.951305i \(-0.599743\pi\)
−0.308250 + 0.951305i \(0.599743\pi\)
\(164\) 1.60199 + 9.08534i 0.125094 + 0.709446i
\(165\) −13.6484 + 0.223401i −1.06253 + 0.0173917i
\(166\) 2.49521 + 6.85554i 0.193666 + 0.532093i
\(167\) 1.44072 + 1.20891i 0.111487 + 0.0935484i 0.696827 0.717239i \(-0.254595\pi\)
−0.585340 + 0.810788i \(0.699039\pi\)
\(168\) 4.56300 + 0.423137i 0.352043 + 0.0326457i
\(169\) −11.5360 4.19877i −0.887387 0.322982i
\(170\) −22.8471 + 13.1908i −1.75229 + 1.01169i
\(171\) 9.66494 6.01016i 0.739096 0.459609i
\(172\) −4.85611 + 8.41103i −0.370275 + 0.641335i
\(173\) −9.94119 + 8.34165i −0.755814 + 0.634204i −0.937034 0.349239i \(-0.886440\pi\)
0.181219 + 0.983443i \(0.441996\pi\)
\(174\) −0.415420 1.08573i −0.0314929 0.0823091i
\(175\) −17.9523 8.84757i −1.35707 0.668814i
\(176\) 2.18956 + 0.386078i 0.165044 + 0.0291017i
\(177\) 3.07295 3.78636i 0.230977 0.284600i
\(178\) −11.0935 13.2207i −0.831491 0.990932i
\(179\) −5.10296 2.94620i −0.381413 0.220209i 0.297020 0.954871i \(-0.404007\pi\)
−0.678433 + 0.734662i \(0.737341\pi\)
\(180\) −10.1064 3.30805i −0.753284 0.246568i
\(181\) 13.9907 8.07755i 1.03992 0.600399i 0.120111 0.992760i \(-0.461675\pi\)
0.919811 + 0.392361i \(0.128342\pi\)
\(182\) 1.33036 1.81533i 0.0986131 0.134561i
\(183\) −2.55162 0.881695i −0.188621 0.0651768i
\(184\) 3.11754 + 2.61593i 0.229828 + 0.192849i
\(185\) −6.18804 + 2.25226i −0.454954 + 0.165590i
\(186\) 2.22073 1.33107i 0.162832 0.0975985i
\(187\) 16.2960 2.87342i 1.19168 0.210126i
\(188\) 12.4741 0.909765
\(189\) 11.4743 + 7.57237i 0.834631 + 0.550809i
\(190\) 13.4476 0.975590
\(191\) −1.24585 + 0.219677i −0.0901464 + 0.0158952i −0.218539 0.975828i \(-0.570129\pi\)
0.128393 + 0.991723i \(0.459018\pi\)
\(192\) 1.51397 + 0.841360i 0.109262 + 0.0607199i
\(193\) −5.56550 + 2.02567i −0.400613 + 0.145811i −0.534466 0.845190i \(-0.679487\pi\)
0.133853 + 0.991001i \(0.457265\pi\)
\(194\) −4.40170 3.69346i −0.316023 0.265175i
\(195\) −3.94529 + 3.42207i −0.282528 + 0.245059i
\(196\) −4.26409 5.55136i −0.304578 0.396525i
\(197\) −0.223688 + 0.129147i −0.0159371 + 0.00920131i −0.507947 0.861388i \(-0.669596\pi\)
0.492010 + 0.870589i \(0.336262\pi\)
\(198\) 5.24710 + 4.11787i 0.372895 + 0.292644i
\(199\) 5.77698 + 3.33534i 0.409520 + 0.236436i 0.690583 0.723253i \(-0.257354\pi\)
−0.281064 + 0.959689i \(0.590687\pi\)
\(200\) −4.86246 5.79485i −0.343828 0.409758i
\(201\) 14.4307 + 2.30168i 1.01787 + 0.162348i
\(202\) 7.53235 + 1.32816i 0.529975 + 0.0934488i
\(203\) −0.784992 + 1.59280i −0.0550956 + 0.111793i
\(204\) 12.7301 + 2.03042i 0.891283 + 0.142158i
\(205\) −25.0506 + 21.0200i −1.74961 + 1.46810i
\(206\) 1.26271 2.18708i 0.0879772 0.152381i
\(207\) 4.54896 + 11.3299i 0.316174 + 0.787481i
\(208\) 0.736689 0.425327i 0.0510802 0.0294911i
\(209\) −7.92610 2.88486i −0.548260 0.199550i
\(210\) 6.78821 + 14.7573i 0.468431 + 1.01835i
\(211\) 8.16898 + 6.85459i 0.562376 + 0.471889i 0.879106 0.476627i \(-0.158141\pi\)
−0.316730 + 0.948516i \(0.602585\pi\)
\(212\) −4.60381 12.6489i −0.316191 0.868727i
\(213\) −11.2584 + 20.2587i −0.771412 + 1.38811i
\(214\) −1.41683 8.03523i −0.0968523 0.549277i
\(215\) −34.4266 −2.34787
\(216\) 2.81581 + 4.36706i 0.191591 + 0.297141i
\(217\) −3.79717 1.10575i −0.257769 0.0750633i
\(218\) −9.60564 + 1.69373i −0.650576 + 0.114714i
\(219\) 5.60519 + 9.35161i 0.378764 + 0.631923i
\(220\) 2.69545 + 7.40569i 0.181727 + 0.499291i
\(221\) 4.06955 4.84989i 0.273747 0.326239i
\(222\) 3.04131 + 1.05090i 0.204119 + 0.0705320i
\(223\) −4.46007 + 12.2539i −0.298668 + 0.820584i 0.696055 + 0.717988i \(0.254937\pi\)
−0.994723 + 0.102596i \(0.967285\pi\)
\(224\) −0.629496 2.56977i −0.0420600 0.171700i
\(225\) −4.67009 22.2082i −0.311339 1.48055i
\(226\) −5.65809 + 9.80009i −0.376370 + 0.651892i
\(227\) −2.03352 + 1.70632i −0.134969 + 0.113253i −0.707773 0.706440i \(-0.750300\pi\)
0.572804 + 0.819692i \(0.305856\pi\)
\(228\) −5.10211 4.14079i −0.337895 0.274231i
\(229\) −14.7504 2.60089i −0.974733 0.171872i −0.336474 0.941693i \(-0.609234\pi\)
−0.638260 + 0.769821i \(0.720345\pi\)
\(230\) −2.50497 + 14.2064i −0.165173 + 0.936744i
\(231\) −0.835190 10.1543i −0.0549515 0.668104i
\(232\) −0.514142 + 0.431416i −0.0337551 + 0.0283239i
\(233\) −1.33037 0.768087i −0.0871551 0.0503190i 0.455789 0.890088i \(-0.349357\pi\)
−0.542944 + 0.839769i \(0.682690\pi\)
\(234\) 2.55060 0.0835202i 0.166738 0.00545989i
\(235\) 22.1082 + 38.2925i 1.44218 + 2.49793i
\(236\) −2.64562 0.962926i −0.172215 0.0626811i
\(237\) 1.00296 0.193826i 0.0651494 0.0125903i
\(238\) −10.9440 16.3700i −0.709392 1.06111i
\(239\) −6.01966 16.5389i −0.389379 1.06981i −0.967282 0.253705i \(-0.918351\pi\)
0.577902 0.816106i \(-0.303871\pi\)
\(240\) 0.100480 + 6.13872i 0.00648597 + 0.396252i
\(241\) −7.03748 + 1.24090i −0.453324 + 0.0799333i −0.395648 0.918402i \(-0.629480\pi\)
−0.0576758 + 0.998335i \(0.518369\pi\)
\(242\) 6.05679i 0.389345i
\(243\) 1.27424 + 15.5363i 0.0817428 + 0.996653i
\(244\) 1.55865i 0.0997822i
\(245\) 9.48400 22.9286i 0.605910 1.46486i
\(246\) 15.9769 0.261514i 1.01865 0.0166735i
\(247\) −3.03255 + 1.10376i −0.192957 + 0.0702305i
\(248\) −1.14509 0.960845i −0.0727133 0.0610137i
\(249\) 12.4067 2.39762i 0.786240 0.151943i
\(250\) 3.10923 8.54254i 0.196645 0.540278i
\(251\) −0.569382 0.986198i −0.0359390 0.0622483i 0.847496 0.530801i \(-0.178109\pi\)
−0.883435 + 0.468553i \(0.844776\pi\)
\(252\) 1.96858 7.68926i 0.124009 0.484378i
\(253\) 4.52411 7.83598i 0.284428 0.492644i
\(254\) 6.66423 + 7.94212i 0.418151 + 0.498333i
\(255\) 16.3290 + 42.6769i 1.02256 + 2.67253i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) −0.320962 + 1.82027i −0.0200211 + 0.113545i −0.993181 0.116587i \(-0.962805\pi\)
0.973159 + 0.230132i \(0.0739158\pi\)
\(258\) 13.0617 + 10.6007i 0.813185 + 0.659968i
\(259\) −1.98070 4.49845i −0.123075 0.279520i
\(260\) 2.61131 + 1.50764i 0.161947 + 0.0935000i
\(261\) −1.97040 + 0.414348i −0.121965 + 0.0256475i
\(262\) −6.08486 + 3.51309i −0.375924 + 0.217040i
\(263\) 7.97143 21.9013i 0.491540 1.35049i −0.407731 0.913102i \(-0.633680\pi\)
0.899271 0.437392i \(-0.144098\pi\)
\(264\) 1.25769 3.63976i 0.0774057 0.224012i
\(265\) 30.6696 36.5506i 1.88402 2.24529i
\(266\) 0.658961 + 10.0157i 0.0404035 + 0.614100i
\(267\) −25.6395 + 15.3679i −1.56911 + 0.940498i
\(268\) −1.46505 8.30872i −0.0894923 0.507536i
\(269\) −7.90680 −0.482086 −0.241043 0.970514i \(-0.577490\pi\)
−0.241043 + 0.970514i \(0.577490\pi\)
\(270\) −8.41532 + 16.3838i −0.512140 + 0.997084i
\(271\) 23.5951i 1.43330i −0.697434 0.716649i \(-0.745675\pi\)
0.697434 0.716649i \(-0.254325\pi\)
\(272\) −1.29240 7.32954i −0.0783630 0.444418i
\(273\) −2.74206 2.77074i −0.165957 0.167693i
\(274\) −16.8730 + 6.14128i −1.01934 + 0.371008i
\(275\) −10.8109 + 12.8839i −0.651919 + 0.776927i
\(276\) 5.32486 4.61868i 0.320519 0.278012i
\(277\) 20.8479 + 7.58803i 1.25263 + 0.455920i 0.881290 0.472576i \(-0.156676\pi\)
0.371341 + 0.928497i \(0.378898\pi\)
\(278\) −5.00927 8.67630i −0.300436 0.520370i
\(279\) −1.67086 4.16153i −0.100032 0.249144i
\(280\) 6.77293 6.48690i 0.404760 0.387666i
\(281\) 13.3516 + 15.9119i 0.796492 + 0.949222i 0.999552 0.0299445i \(-0.00953306\pi\)
−0.203060 + 0.979166i \(0.565089\pi\)
\(282\) 3.40306 21.3360i 0.202649 1.27054i
\(283\) −4.92624 0.868629i −0.292835 0.0516347i 0.0253009 0.999680i \(-0.491946\pi\)
−0.318136 + 0.948045i \(0.603057\pi\)
\(284\) 13.1779 + 2.32362i 0.781964 + 0.137881i
\(285\) 3.66865 23.0012i 0.217312 1.36247i
\(286\) −1.21570 1.44881i −0.0718857 0.0856700i
\(287\) −16.8831 17.6275i −0.996577 1.04052i
\(288\) 1.85212 2.36001i 0.109137 0.139065i
\(289\) −19.1962 33.2488i −1.12919 1.95581i
\(290\) −2.23558 0.813684i −0.131278 0.0477812i
\(291\) −7.51824 + 6.52118i −0.440727 + 0.382278i
\(292\) 4.04617 4.82204i 0.236784 0.282189i
\(293\) −1.47042 + 0.535190i −0.0859030 + 0.0312661i −0.384614 0.923077i \(-0.625666\pi\)
0.298711 + 0.954344i \(0.403443\pi\)
\(294\) −10.6585 + 5.77896i −0.621616 + 0.337036i
\(295\) −1.73295 9.82806i −0.100896 0.572211i
\(296\) 1.85777i 0.107981i
\(297\) 8.47480 7.85139i 0.491758 0.455584i
\(298\) 15.9127 0.921796
\(299\) −0.601148 3.40928i −0.0347653 0.197164i
\(300\) −11.2382 + 6.73600i −0.648839 + 0.388903i
\(301\) −1.68698 25.6407i −0.0972357 1.47790i
\(302\) 5.19775 6.19444i 0.299097 0.356450i
\(303\) 4.32663 12.5212i 0.248558 0.719326i
\(304\) −1.29754 + 3.56496i −0.0744190 + 0.204465i
\(305\) −4.78469 + 2.76244i −0.273970 + 0.158177i
\(306\) 6.94580 21.2200i 0.397065 1.21307i
\(307\) −27.5520 15.9071i −1.57247 0.907868i −0.995865 0.0908486i \(-0.971042\pi\)
−0.576610 0.817020i \(-0.695625\pi\)
\(308\) −5.38363 + 2.37045i −0.306761 + 0.135069i
\(309\) −3.39636 2.75644i −0.193212 0.156808i
\(310\) 0.920092 5.21810i 0.0522577 0.296368i
\(311\) 1.94921 11.0545i 0.110529 0.626843i −0.878338 0.478041i \(-0.841347\pi\)
0.988867 0.148802i \(-0.0475418\pi\)
\(312\) −0.526516 1.37609i −0.0298081 0.0779057i
\(313\) 12.7798 + 15.2303i 0.722355 + 0.860869i 0.994857 0.101286i \(-0.0322957\pi\)
−0.272502 + 0.962155i \(0.587851\pi\)
\(314\) −4.62895 + 8.01757i −0.261227 + 0.452458i
\(315\) 27.0932 7.58482i 1.52653 0.427356i
\(316\) −0.294887 0.510760i −0.0165887 0.0287325i
\(317\) 1.13113 3.10777i 0.0635308 0.174549i −0.903866 0.427817i \(-0.859283\pi\)
0.967396 + 0.253267i \(0.0815051\pi\)
\(318\) −22.8910 + 4.42375i −1.28366 + 0.248072i
\(319\) 1.14311 + 0.959182i 0.0640018 + 0.0537039i
\(320\) 3.33089 1.21235i 0.186203 0.0677722i
\(321\) −14.1302 + 0.231288i −0.788672 + 0.0129092i
\(322\) −10.7036 1.16954i −0.596488 0.0651761i
\(323\) 28.2354i 1.57106i
\(324\) 8.23774 3.62486i 0.457652 0.201381i
\(325\) 6.43490i 0.356944i
\(326\) 7.75136 1.36677i 0.429308 0.0756986i
\(327\) 0.276491 + 16.8919i 0.0152900 + 0.934122i
\(328\) −3.15531 8.66913i −0.174223 0.478673i
\(329\) −27.4367 + 18.3425i −1.51263 + 1.01125i
\(330\) 13.4023 2.59003i 0.737770 0.142576i
\(331\) 14.6458 + 5.33064i 0.805006 + 0.292998i 0.711559 0.702626i \(-0.247989\pi\)
0.0934468 + 0.995624i \(0.470211\pi\)
\(332\) −3.64776 6.31810i −0.200197 0.346751i
\(333\) 2.62720 4.91525i 0.143970 0.269354i
\(334\) −1.62876 0.940366i −0.0891219 0.0514545i
\(335\) 22.9093 19.2232i 1.25167 1.05027i
\(336\) −4.56715 + 0.375648i −0.249159 + 0.0204933i
\(337\) 2.11766 12.0099i 0.115356 0.654218i −0.871217 0.490898i \(-0.836669\pi\)
0.986573 0.163320i \(-0.0522203\pi\)
\(338\) 12.0899 + 2.13177i 0.657603 + 0.115953i
\(339\) 15.2188 + 12.3513i 0.826571 + 0.670833i
\(340\) 20.2094 16.9577i 1.09601 0.919662i
\(341\) −1.66173 + 2.87820i −0.0899877 + 0.155863i
\(342\) −8.47445 + 7.59715i −0.458246 + 0.410807i
\(343\) 17.5418 + 5.94007i 0.947169 + 0.320734i
\(344\) 3.32178 9.12650i 0.179098 0.492068i
\(345\) 23.6157 + 8.16025i 1.27143 + 0.439333i
\(346\) 8.34165 9.94119i 0.448450 0.534442i
\(347\) −0.780871 2.14542i −0.0419193 0.115172i 0.916967 0.398964i \(-0.130630\pi\)
−0.958886 + 0.283791i \(0.908408\pi\)
\(348\) 0.597644 + 0.997100i 0.0320371 + 0.0534502i
\(349\) −28.0714 + 4.94974i −1.50263 + 0.264954i −0.863579 0.504214i \(-0.831782\pi\)
−0.639047 + 0.769167i \(0.720671\pi\)
\(350\) 19.2160 + 5.59577i 1.02714 + 0.299106i
\(351\) 0.552975 4.38541i 0.0295156 0.234076i
\(352\) −2.22333 −0.118504
\(353\) 2.20743 + 12.5189i 0.117490 + 0.666316i 0.985487 + 0.169748i \(0.0542955\pi\)
−0.867998 + 0.496568i \(0.834593\pi\)
\(354\) −2.36877 + 4.26245i −0.125899 + 0.226547i
\(355\) 16.2226 + 44.5713i 0.861008 + 2.36560i
\(356\) 13.2207 + 11.0935i 0.700695 + 0.587953i
\(357\) −30.9854 + 14.2530i −1.63992 + 0.754347i
\(358\) 5.53704 + 2.01532i 0.292641 + 0.106513i
\(359\) 17.3017 9.98915i 0.913149 0.527207i 0.0317063 0.999497i \(-0.489906\pi\)
0.881443 + 0.472290i \(0.156573\pi\)
\(360\) 10.5273 + 1.50284i 0.554835 + 0.0792068i
\(361\) −2.30372 + 3.99016i −0.121248 + 0.210008i
\(362\) −12.3755 + 10.3843i −0.650443 + 0.545786i
\(363\) 10.3597 + 1.65236i 0.543744 + 0.0867263i
\(364\) −0.994923 + 2.01877i −0.0521481 + 0.105812i
\(365\) 21.9737 + 3.87456i 1.15016 + 0.202804i
\(366\) 2.66596 + 0.425216i 0.139352 + 0.0222264i
\(367\) 16.8766 + 20.1128i 0.880952 + 1.04988i 0.998386 + 0.0567969i \(0.0180887\pi\)
−0.117434 + 0.993081i \(0.537467\pi\)
\(368\) −3.52443 2.03483i −0.183724 0.106073i
\(369\) 3.91137 27.3987i 0.203618 1.42632i
\(370\) 5.70293 3.29259i 0.296481 0.171173i
\(371\) 28.7255 + 21.0515i 1.49136 + 1.09294i
\(372\) −1.95585 + 1.69647i −0.101406 + 0.0879579i
\(373\) −14.0512 11.7903i −0.727542 0.610480i 0.201919 0.979402i \(-0.435282\pi\)
−0.929460 + 0.368922i \(0.879727\pi\)
\(374\) −15.5495 + 5.65954i −0.804044 + 0.292648i
\(375\) −13.7632 7.64863i −0.710729 0.394973i
\(376\) −12.2846 + 2.16610i −0.633528 + 0.111708i
\(377\) 0.570929 0.0294044
\(378\) −12.6149 5.46484i −0.648840 0.281081i
\(379\) 3.31264 0.170159 0.0850795 0.996374i \(-0.472886\pi\)
0.0850795 + 0.996374i \(0.472886\pi\)
\(380\) −13.2433 + 2.33515i −0.679366 + 0.119791i
\(381\) 15.4025 9.23200i 0.789095 0.472970i
\(382\) 1.18877 0.432679i 0.0608230 0.0221378i
\(383\) −21.3595 17.9228i −1.09142 0.915810i −0.0946018 0.995515i \(-0.530158\pi\)
−0.996819 + 0.0797048i \(0.974602\pi\)
\(384\) −1.63707 0.565680i −0.0835415 0.0288672i
\(385\) −16.8183 12.3253i −0.857140 0.628154i
\(386\) 5.12919 2.96134i 0.261069 0.150728i
\(387\) 21.6951 19.4491i 1.10282 0.988655i
\(388\) 4.97619 + 2.87300i 0.252628 + 0.145855i
\(389\) −9.58597 11.4241i −0.486028 0.579225i 0.466175 0.884693i \(-0.345632\pi\)
−0.952203 + 0.305467i \(0.901187\pi\)
\(390\) 3.29111 4.05517i 0.166652 0.205341i
\(391\) −29.8287 5.25961i −1.50850 0.265990i
\(392\) 5.16329 + 4.72657i 0.260786 + 0.238728i
\(393\) 4.34889 + 11.3661i 0.219372 + 0.573346i
\(394\) 0.197864 0.166028i 0.00996825 0.00836435i
\(395\) 1.04528 1.81047i 0.0525936 0.0910947i
\(396\) −5.88244 3.14416i −0.295604 0.158000i
\(397\) −28.4273 + 16.4125i −1.42673 + 0.823721i −0.996861 0.0791725i \(-0.974772\pi\)
−0.429865 + 0.902893i \(0.641439\pi\)
\(398\) −6.26840 2.28151i −0.314206 0.114362i
\(399\) 17.3109 + 1.60528i 0.866629 + 0.0803644i
\(400\) 5.79485 + 4.86246i 0.289743 + 0.243123i
\(401\) 13.3069 + 36.5603i 0.664513 + 1.82573i 0.555183 + 0.831728i \(0.312648\pi\)
0.109330 + 0.994005i \(0.465129\pi\)
\(402\) −14.6112 + 0.239160i −0.728739 + 0.0119282i
\(403\) 0.220805 + 1.25225i 0.0109991 + 0.0623790i
\(404\) −7.64855 −0.380530
\(405\) 25.7275 + 18.8635i 1.27841 + 0.937335i
\(406\) 0.496479 1.70492i 0.0246398 0.0846136i
\(407\) −4.06769 + 0.717244i −0.201628 + 0.0355525i
\(408\) −12.8892 + 0.210975i −0.638113 + 0.0104448i
\(409\) 6.09161 + 16.7366i 0.301211 + 0.827570i 0.994290 + 0.106709i \(0.0340313\pi\)
−0.693079 + 0.720861i \(0.743746\pi\)
\(410\) 21.0200 25.0506i 1.03810 1.23716i
\(411\) 5.90109 + 30.5356i 0.291079 + 1.50621i
\(412\) −0.863744 + 2.37312i −0.0425536 + 0.116915i
\(413\) 7.23496 1.77229i 0.356009 0.0872086i
\(414\) −6.44726 10.3678i −0.316866 0.509551i
\(415\) 12.9301 22.3955i 0.634712 1.09935i
\(416\) −0.651639 + 0.546790i −0.0319492 + 0.0268086i
\(417\) −16.2068 + 6.20101i −0.793650 + 0.303665i
\(418\) 8.30663 + 1.46468i 0.406291 + 0.0716400i
\(419\) −1.35458 + 7.68222i −0.0661757 + 0.375301i 0.933677 + 0.358117i \(0.116581\pi\)
−0.999852 + 0.0171838i \(0.994530\pi\)
\(420\) −9.24766 13.3543i −0.451240 0.651625i
\(421\) −4.41555 + 3.70509i −0.215201 + 0.180575i −0.744015 0.668162i \(-0.767081\pi\)
0.528815 + 0.848737i \(0.322637\pi\)
\(422\) −9.23516 5.33192i −0.449560 0.259554i
\(423\) −35.5654 11.6414i −1.72925 0.566025i
\(424\) 6.73032 + 11.6573i 0.326853 + 0.566126i
\(425\) 52.9053 + 19.2560i 2.56628 + 0.934051i
\(426\) 7.56946 21.9060i 0.366742 1.06135i
\(427\) −2.29191 3.42824i −0.110913 0.165904i
\(428\) 2.79060 + 7.66712i 0.134889 + 0.370604i
\(429\) −2.80975 + 1.68411i −0.135656 + 0.0813098i
\(430\) 33.9035 5.97811i 1.63497 0.288290i
\(431\) 29.1465i 1.40394i −0.712209 0.701968i \(-0.752305\pi\)
0.712209 0.701968i \(-0.247695\pi\)
\(432\) −3.53136 3.81176i −0.169903 0.183393i
\(433\) 16.0344i 0.770562i −0.922799 0.385281i \(-0.874104\pi\)
0.922799 0.385281i \(-0.125896\pi\)
\(434\) 3.93150 + 0.429580i 0.188718 + 0.0206205i
\(435\) −2.00164 + 3.60182i −0.0959713 + 0.172694i
\(436\) 9.16560 3.33600i 0.438952 0.159766i
\(437\) 11.8272 + 9.92418i 0.565771 + 0.474738i
\(438\) −7.14393 8.23620i −0.341350 0.393541i
\(439\) −0.574218 + 1.57765i −0.0274059 + 0.0752971i −0.952641 0.304097i \(-0.901645\pi\)
0.925235 + 0.379394i \(0.123868\pi\)
\(440\) −3.94048 6.82512i −0.187855 0.325375i
\(441\) 6.97676 + 19.8072i 0.332226 + 0.943200i
\(442\) −3.16554 + 5.48288i −0.150570 + 0.260794i
\(443\) −6.79389 8.09664i −0.322787 0.384683i 0.580111 0.814538i \(-0.303009\pi\)
−0.902898 + 0.429855i \(0.858565\pi\)
\(444\) −3.17759 0.506820i −0.150802 0.0240526i
\(445\) −10.6229 + 60.2457i −0.503576 + 2.85592i
\(446\) 2.26444 12.8423i 0.107224 0.608098i
\(447\) 4.34115 27.2175i 0.205329 1.28734i
\(448\) 1.06617 + 2.42142i 0.0503718 + 0.114401i
\(449\) −30.6194 17.6781i −1.44502 0.834282i −0.446840 0.894614i \(-0.647451\pi\)
−0.998178 + 0.0603326i \(0.980784\pi\)
\(450\) 8.45555 + 21.0599i 0.398598 + 0.992771i
\(451\) −17.7634 + 10.2557i −0.836444 + 0.482921i
\(452\) 3.87036 10.6337i 0.182046 0.500168i
\(453\) −9.17715 10.5803i −0.431180 0.497106i
\(454\) 1.70632 2.03352i 0.0800818 0.0954377i
\(455\) −7.96048 + 0.523744i −0.373193 + 0.0245535i
\(456\) 5.74364 + 3.19191i 0.268971 + 0.149475i
\(457\) −1.06288 6.02787i −0.0497193 0.281972i 0.949804 0.312846i \(-0.101282\pi\)
−0.999523 + 0.0308735i \(0.990171\pi\)
\(458\) 14.9779 0.699873
\(459\) −34.4004 17.6694i −1.60567 0.824735i
\(460\) 14.4256i 0.672596i
\(461\) −3.82751 21.7069i −0.178265 1.01099i −0.934307 0.356468i \(-0.883981\pi\)
0.756042 0.654523i \(-0.227130\pi\)
\(462\) 2.58578 + 9.85501i 0.120301 + 0.458496i
\(463\) 11.4892 4.18174i 0.533950 0.194342i −0.0609512 0.998141i \(-0.519413\pi\)
0.594901 + 0.803799i \(0.297191\pi\)
\(464\) 0.431416 0.514142i 0.0200280 0.0238684i
\(465\) −8.67419 2.99731i −0.402256 0.138997i
\(466\) 1.44353 + 0.525402i 0.0668703 + 0.0243388i
\(467\) −14.1323 24.4779i −0.653965 1.13270i −0.982152 0.188088i \(-0.939771\pi\)
0.328187 0.944613i \(-0.393562\pi\)
\(468\) −2.49734 + 0.525158i −0.115440 + 0.0242754i
\(469\) 15.4399 + 16.1207i 0.712949 + 0.744386i
\(470\) −28.4217 33.8717i −1.31100 1.56239i
\(471\) 12.4507 + 10.1048i 0.573697 + 0.465604i
\(472\) 2.77263 + 0.488890i 0.127621 + 0.0225030i
\(473\) −21.2654 3.74967i −0.977786 0.172410i
\(474\) −0.954068 + 0.365044i −0.0438218 + 0.0167670i
\(475\) −18.4470 21.9842i −0.846405 1.00871i
\(476\) 13.6203 + 14.2209i 0.624286 + 0.651814i
\(477\) 1.32161 + 40.3603i 0.0605124 + 1.84797i
\(478\) 8.80015 + 15.2423i 0.402510 + 0.697167i
\(479\) −35.2144 12.8170i −1.60899 0.585624i −0.627749 0.778416i \(-0.716024\pi\)
−0.981240 + 0.192792i \(0.938246\pi\)
\(480\) −1.16493 6.02801i −0.0531716 0.275140i
\(481\) −1.01581 + 1.21060i −0.0463170 + 0.0551985i
\(482\) 6.71509 2.44409i 0.305864 0.111325i
\(483\) −4.92048 + 17.9887i −0.223890 + 0.818515i
\(484\) −1.05175 5.96477i −0.0478068 0.271126i
\(485\) 20.3677i 0.924848i
\(486\) −3.95273 15.0790i −0.179300 0.683997i
\(487\) −30.5776 −1.38560 −0.692802 0.721128i \(-0.743624\pi\)
−0.692802 + 0.721128i \(0.743624\pi\)
\(488\) −0.270656 1.53497i −0.0122520 0.0694848i
\(489\) −0.223117 13.6310i −0.0100897 0.616417i
\(490\) −5.35840 + 24.2272i −0.242068 + 1.09447i
\(491\) −0.00662625 + 0.00789685i −0.000299038 + 0.000356380i −0.766194 0.642609i \(-0.777852\pi\)
0.765895 + 0.642966i \(0.222296\pi\)
\(492\) −15.6888 + 3.03190i −0.707303 + 0.136689i
\(493\) 1.70846 4.69397i 0.0769454 0.211406i
\(494\) 2.79481 1.61359i 0.125745 0.0725987i
\(495\) −0.773780 23.6302i −0.0347788 1.06210i
\(496\) 1.29454 + 0.747405i 0.0581267 + 0.0335595i
\(497\) −32.4015 + 14.2666i −1.45341 + 0.639945i
\(498\) −11.8018 + 4.51559i −0.528852 + 0.202348i
\(499\) −4.62591 + 26.2349i −0.207084 + 1.17443i 0.687042 + 0.726618i \(0.258909\pi\)
−0.894126 + 0.447816i \(0.852202\pi\)
\(500\) −1.57860 + 8.95268i −0.0705971 + 0.400376i
\(501\) −2.05278 + 2.52934i −0.0917112 + 0.113003i
\(502\) 0.731983 + 0.872343i 0.0326700 + 0.0389346i
\(503\) 13.9825 24.2184i 0.623449 1.07984i −0.365390 0.930855i \(-0.619064\pi\)
0.988839 0.148990i \(-0.0476024\pi\)
\(504\) −0.603450 + 7.91428i −0.0268798 + 0.352530i
\(505\) −13.5558 23.4793i −0.603224 1.04481i
\(506\) −3.09467 + 8.50254i −0.137575 + 0.377984i
\(507\) 6.94450 20.0973i 0.308416 0.892554i
\(508\) −7.94212 6.66423i −0.352374 0.295677i
\(509\) 10.8413 3.94589i 0.480530 0.174899i −0.0903863 0.995907i \(-0.528810\pi\)
0.570917 + 0.821008i \(0.306588\pi\)
\(510\) −23.4917 39.1931i −1.04023 1.73550i
\(511\) −1.80899 + 16.5557i −0.0800249 + 0.732383i
\(512\) 1.00000i 0.0441942i
\(513\) 10.6825 + 16.5676i 0.471643 + 0.731475i
\(514\) 1.84835i 0.0815271i
\(515\) −8.81577 + 1.55446i −0.388469 + 0.0684976i
\(516\) −14.7040 8.17148i −0.647309 0.359729i
\(517\) 9.48559 + 26.0615i 0.417176 + 1.14618i
\(518\) 2.73175 + 4.08616i 0.120026 + 0.179536i
\(519\) −14.7280 16.9799i −0.646488 0.745334i
\(520\) −2.83344 1.03129i −0.124255 0.0452250i
\(521\) 17.6953 + 30.6492i 0.775247 + 1.34277i 0.934656 + 0.355554i \(0.115708\pi\)
−0.159409 + 0.987213i \(0.550959\pi\)
\(522\) 1.86851 0.750210i 0.0817826 0.0328358i
\(523\) −1.31727 0.760529i −0.0576004 0.0332556i 0.470923 0.882174i \(-0.343921\pi\)
−0.528524 + 0.848919i \(0.677254\pi\)
\(524\) 5.38237 4.51635i 0.235130 0.197298i
\(525\) 14.8135 31.3410i 0.646514 1.36783i
\(526\) −4.04720 + 22.9528i −0.176466 + 1.00079i
\(527\) 10.9563 + 1.93189i 0.477262 + 0.0841542i
\(528\) −0.606550 + 3.80286i −0.0263967 + 0.165498i
\(529\) 4.93169 4.13818i 0.214421 0.179921i
\(530\) −23.8567 + 41.3210i −1.03627 + 1.79487i
\(531\) 6.64440 + 5.21446i 0.288342 + 0.226288i
\(532\) −2.38815 9.74909i −0.103540 0.422676i
\(533\) −2.68408 + 7.37444i −0.116260 + 0.319422i
\(534\) 22.5814 19.5866i 0.977191 0.847597i
\(535\) −18.5904 + 22.1552i −0.803734 + 0.957853i
\(536\) 2.88559 + 7.92809i 0.124638 + 0.342441i
\(537\) 4.95762 8.92092i 0.213937 0.384966i
\(538\) 7.78668 1.37300i 0.335708 0.0591943i
\(539\) 8.35565 13.1301i 0.359903 0.565555i
\(540\) 5.44246 17.5962i 0.234206 0.757218i
\(541\) 31.7769 1.36620 0.683098 0.730327i \(-0.260632\pi\)
0.683098 + 0.730327i \(0.260632\pi\)
\(542\) 4.09724 + 23.2366i 0.175992 + 0.998098i
\(543\) 14.3854 + 24.0004i 0.617338 + 1.02996i
\(544\) 2.54552 + 6.99376i 0.109138 + 0.299855i
\(545\) 26.4852 + 22.2238i 1.13450 + 0.951961i
\(546\) 3.18154 + 2.25249i 0.136157 + 0.0963976i
\(547\) −4.25116 1.54730i −0.181767 0.0661576i 0.249533 0.968366i \(-0.419723\pi\)
−0.431300 + 0.902209i \(0.641945\pi\)
\(548\) 15.5503 8.97795i 0.664275 0.383519i
\(549\) 1.45461 4.44394i 0.0620811 0.189663i
\(550\) 8.40936 14.5654i 0.358576 0.621072i
\(551\) −1.95053 + 1.63669i −0.0830953 + 0.0697252i
\(552\) −4.44194 + 5.47317i −0.189061 + 0.232954i
\(553\) 1.39965 + 0.689798i 0.0595191 + 0.0293332i
\(554\) −21.8488 3.85254i −0.928269 0.163679i
\(555\) −4.07592 10.6527i −0.173013 0.452183i
\(556\) 6.43979 + 7.67464i 0.273108 + 0.325477i
\(557\) −24.4707 14.1282i −1.03686 0.598629i −0.117915 0.993024i \(-0.537621\pi\)
−0.918941 + 0.394395i \(0.870954\pi\)
\(558\) 2.36812 + 3.80817i 0.100250 + 0.161213i
\(559\) −7.15488 + 4.13087i −0.302619 + 0.174717i
\(560\) −5.54360 + 7.56446i −0.234260 + 0.319657i
\(561\) 5.43819 + 28.1403i 0.229601 + 1.18808i
\(562\) −15.9119 13.3516i −0.671201 0.563205i
\(563\) 35.4365 12.8978i 1.49347 0.543578i 0.539108 0.842236i \(-0.318761\pi\)
0.954360 + 0.298658i \(0.0965391\pi\)
\(564\) 0.353601 + 21.6028i 0.0148893 + 0.909643i
\(565\) 39.5026 6.96538i 1.66189 0.293036i
\(566\) 5.00224 0.210260
\(567\) −12.7887 + 20.0860i −0.537075 + 0.843534i
\(568\) −13.3812 −0.561462
\(569\) 4.79790 0.846000i 0.201139 0.0354662i −0.0721710 0.997392i \(-0.522993\pi\)
0.273310 + 0.961926i \(0.411882\pi\)
\(570\) 0.381197 + 23.2888i 0.0159666 + 0.975459i
\(571\) 20.8731 7.59719i 0.873512 0.317933i 0.133924 0.990992i \(-0.457242\pi\)
0.739589 + 0.673059i \(0.235020\pi\)
\(572\) 1.44881 + 1.21570i 0.0605778 + 0.0508308i
\(573\) −0.415756 2.15136i −0.0173685 0.0898742i
\(574\) 19.6876 + 14.4280i 0.821744 + 0.602214i
\(575\) 26.6610 15.3928i 1.11184 0.641922i
\(576\) −1.41417 + 2.64578i −0.0589236 + 0.110241i
\(577\) −8.83941 5.10344i −0.367989 0.212459i 0.304590 0.952483i \(-0.401480\pi\)
−0.672580 + 0.740025i \(0.734814\pi\)
\(578\) 24.6782 + 29.4103i 1.02648 + 1.22331i
\(579\) −3.66587 9.58101i −0.152348 0.398173i
\(580\) 2.34291 + 0.413118i 0.0972841 + 0.0171538i
\(581\) 17.3137 + 8.53281i 0.718292 + 0.354000i
\(582\) 6.27163 7.72764i 0.259968 0.320321i
\(583\) 22.9258 19.2370i 0.949489 0.796716i
\(584\) −3.14736 + 5.45139i −0.130239 + 0.225580i
\(585\) −6.03824 6.73552i −0.249650 0.278479i
\(586\) 1.35515 0.782396i 0.0559807 0.0323205i
\(587\) −40.3204 14.6754i −1.66420 0.605720i −0.673188 0.739472i \(-0.735075\pi\)
−0.991015 + 0.133751i \(0.957298\pi\)
\(588\) 9.49307 7.54199i 0.391488 0.311027i
\(589\) −4.34419 3.64521i −0.178999 0.150198i
\(590\) 3.41325 + 9.37782i 0.140521 + 0.386079i
\(591\) −0.229999 0.383727i −0.00946091 0.0157844i
\(592\) 0.322599 + 1.82955i 0.0132587 + 0.0751940i
\(593\) −18.6478 −0.765772 −0.382886 0.923796i \(-0.625070\pi\)
−0.382886 + 0.923796i \(0.625070\pi\)
\(594\) −6.98267 + 9.20375i −0.286502 + 0.377634i
\(595\) −19.5151 + 67.0154i −0.800042 + 2.74736i
\(596\) −15.6709 + 2.76320i −0.641906 + 0.113185i
\(597\) −5.61245 + 10.0992i −0.229702 + 0.413334i
\(598\) 1.18403 + 3.25310i 0.0484186 + 0.133029i
\(599\) 10.2866 12.2591i 0.420299 0.500893i −0.513799 0.857911i \(-0.671762\pi\)
0.934097 + 0.357018i \(0.116207\pi\)
\(600\) 9.89780 8.58516i 0.404076 0.350488i
\(601\) −5.04304 + 13.8556i −0.205710 + 0.565183i −0.999049 0.0435963i \(-0.986118\pi\)
0.793339 + 0.608780i \(0.208341\pi\)
\(602\) 6.11381 + 24.9582i 0.249180 + 1.01722i
\(603\) −3.57702 + 25.0567i −0.145668 + 1.02039i
\(604\) −4.04313 + 7.00291i −0.164513 + 0.284944i
\(605\) 16.4464 13.8002i 0.668642 0.561057i
\(606\) −2.08661 + 13.0823i −0.0847627 + 0.531433i
\(607\) −20.6494 3.64104i −0.838133 0.147785i −0.261924 0.965088i \(-0.584357\pi\)
−0.576208 + 0.817303i \(0.695468\pi\)
\(608\) 0.658778 3.73612i 0.0267170 0.151520i
\(609\) −2.78070 1.31431i −0.112680 0.0532586i
\(610\) 4.23231 3.55133i 0.171361 0.143789i
\(611\) 9.18951 + 5.30556i 0.371768 + 0.214640i
\(612\) −3.15547 + 22.1037i −0.127552 + 0.893490i
\(613\) −14.9370 25.8716i −0.603298 1.04494i −0.992318 0.123714i \(-0.960519\pi\)
0.389019 0.921230i \(-0.372814\pi\)
\(614\) 29.8956 + 10.8811i 1.20649 + 0.439126i
\(615\) −37.1129 42.7873i −1.49654 1.72535i
\(616\) 4.89021 3.26929i 0.197032 0.131724i
\(617\) 8.58366 + 23.5834i 0.345565 + 0.949433i 0.983749 + 0.179549i \(0.0574637\pi\)
−0.638184 + 0.769884i \(0.720314\pi\)
\(618\) 3.82342 + 2.12479i 0.153800 + 0.0854715i
\(619\) −15.5389 + 2.73993i −0.624562 + 0.110127i −0.476968 0.878921i \(-0.658264\pi\)
−0.147594 + 0.989048i \(0.547153\pi\)
\(620\) 5.29860i 0.212797i
\(621\) −19.4924 + 8.19914i −0.782201 + 0.329020i
\(622\) 11.2250i 0.450083i
\(623\) −45.3912 4.95973i −1.81856 0.198708i
\(624\) 0.757473 + 1.26375i 0.0303232 + 0.0505907i
\(625\) 5.26174 1.91512i 0.210470 0.0766046i
\(626\) −15.2303 12.7798i −0.608726 0.510782i
\(627\) 4.77138 13.8083i 0.190551 0.551452i
\(628\) 3.16639 8.69958i 0.126353 0.347151i
\(629\) 6.91333 + 11.9742i 0.275653 + 0.477444i
\(630\) −25.3645 + 12.1743i −1.01055 + 0.485035i
\(631\) −15.2442 + 26.4038i −0.606863 + 1.05112i 0.384891 + 0.922962i \(0.374239\pi\)
−0.991754 + 0.128156i \(0.959094\pi\)
\(632\) 0.379100 + 0.451794i 0.0150798 + 0.0179714i
\(633\) −11.6393 + 14.3415i −0.462622 + 0.570023i
\(634\) −0.574292 + 3.25697i −0.0228080 + 0.129351i
\(635\) 6.38157 36.1917i 0.253245 1.43622i
\(636\) 21.7750 8.33152i 0.863436 0.330366i
\(637\) −0.780162 5.90325i −0.0309112 0.233895i
\(638\) −1.29230 0.746111i −0.0511628 0.0295388i
\(639\) −35.4036 18.9232i −1.40055 0.748591i
\(640\) −3.06977 + 1.77233i −0.121343 + 0.0700576i
\(641\) 3.13118 8.60285i 0.123674 0.339792i −0.862369 0.506280i \(-0.831020\pi\)
0.986044 + 0.166488i \(0.0532425\pi\)
\(642\) 13.8754 2.68146i 0.547618 0.105829i
\(643\) 28.2540 33.6718i 1.11423 1.32789i 0.175011 0.984566i \(-0.444004\pi\)
0.939218 0.343320i \(-0.111552\pi\)
\(644\) 10.7441 0.706885i 0.423376 0.0278552i
\(645\) −0.975886 59.6206i −0.0384255 2.34756i
\(646\) −4.90303 27.8065i −0.192907 1.09403i
\(647\) 26.2447 1.03178 0.515892 0.856653i \(-0.327460\pi\)
0.515892 + 0.856653i \(0.327460\pi\)
\(648\) −7.48314 + 5.00026i −0.293965 + 0.196429i
\(649\) 6.25959i 0.245710i
\(650\) −1.11741 6.33714i −0.0438283 0.248563i
\(651\) 1.80732 6.60736i 0.0708346 0.258963i
\(652\) −7.39627 + 2.69202i −0.289660 + 0.105428i
\(653\) −21.0314 + 25.0643i −0.823024 + 0.980841i −0.999994 0.00337486i \(-0.998926\pi\)
0.176971 + 0.984216i \(0.443370\pi\)
\(654\) −3.20553 16.5872i −0.125346 0.648612i
\(655\) 23.4035 + 8.51817i 0.914450 + 0.332833i
\(656\) 4.61275 + 7.98951i 0.180098 + 0.311938i
\(657\) −16.0364 + 9.97227i −0.625640 + 0.389055i
\(658\) 23.8347 22.8281i 0.929174 0.889933i
\(659\) 13.6491 + 16.2664i 0.531693 + 0.633647i 0.963304 0.268413i \(-0.0864990\pi\)
−0.431611 + 0.902060i \(0.642055\pi\)
\(660\) −12.7489 + 4.87796i −0.496250 + 0.189874i
\(661\) −8.02105 1.41433i −0.311983 0.0550110i 0.0154646 0.999880i \(-0.495077\pi\)
−0.327447 + 0.944869i \(0.606188\pi\)
\(662\) −15.3490 2.70644i −0.596554 0.105189i
\(663\) 8.51450 + 6.91024i 0.330676 + 0.268371i
\(664\) 4.68947 + 5.58869i 0.181987 + 0.216883i
\(665\) 25.6948 24.6097i 0.996403 0.954323i
\(666\) −1.73376 + 5.29678i −0.0671819 + 0.205246i
\(667\) −1.36571 2.36547i −0.0528804 0.0915915i
\(668\) 1.76731 + 0.643248i 0.0683793 + 0.0248880i
\(669\) −21.3480 7.37667i −0.825362 0.285198i
\(670\) −19.2232 + 22.9093i −0.742656 + 0.885063i
\(671\) −3.25640 + 1.18523i −0.125712 + 0.0457555i
\(672\) 4.43254 1.16302i 0.170989 0.0448644i
\(673\) 6.30308 + 35.7465i 0.242966 + 1.37793i 0.825170 + 0.564885i \(0.191079\pi\)
−0.582204 + 0.813043i \(0.697810\pi\)
\(674\) 12.1951i 0.469739i
\(675\) 38.3282 8.71728i 1.47525 0.335528i
\(676\) −12.2764 −0.472169
\(677\) 0.989246 + 5.61030i 0.0380198 + 0.215621i 0.997899 0.0647939i \(-0.0206390\pi\)
−0.959879 + 0.280415i \(0.909528\pi\)
\(678\) −17.1324 9.52098i −0.657965 0.365651i
\(679\) −15.1697 + 0.998060i −0.582160 + 0.0383020i
\(680\) −16.9577 + 20.2094i −0.650299 + 0.774996i
\(681\) −3.01269 3.47332i −0.115446 0.133098i
\(682\) 1.13669 3.12303i 0.0435261 0.119587i
\(683\) 39.3275 22.7057i 1.50482 0.868811i 0.504840 0.863213i \(-0.331551\pi\)
0.999984 0.00559823i \(-0.00178198\pi\)
\(684\) 7.02648 8.95331i 0.268664 0.342338i
\(685\) 55.1205 + 31.8238i 2.10604 + 1.21593i
\(686\) −18.3068 2.80372i −0.698957 0.107047i
\(687\) 4.08615 25.6187i 0.155896 0.977416i
\(688\) −1.68651 + 9.56467i −0.0642976 + 0.364650i
\(689\) 1.98833 11.2764i 0.0757495 0.429597i
\(690\) −24.6740 3.93545i −0.939321 0.149820i
\(691\) −20.8491 24.8470i −0.793136 0.945223i 0.206310 0.978487i \(-0.433854\pi\)
−0.999447 + 0.0332634i \(0.989410\pi\)
\(692\) −6.48865 + 11.2387i −0.246661 + 0.427230i
\(693\) 17.5617 1.73424i 0.667115 0.0658784i
\(694\) 1.14156 + 1.97723i 0.0433329 + 0.0750548i
\(695\) −12.1459 + 33.3707i −0.460721 + 1.26582i
\(696\) −0.761709 0.878172i −0.0288725 0.0332870i
\(697\) 52.5979 + 44.1349i 1.99229 + 1.67173i
\(698\) 26.7854 9.74908i 1.01384 0.369008i
\(699\) 1.29248 2.32572i 0.0488859 0.0879670i
\(700\) −19.8957 2.17394i −0.751988 0.0821670i
\(701\) 38.8359i 1.46681i −0.679790 0.733407i \(-0.737929\pi\)
0.679790 0.733407i \(-0.262071\pi\)
\(702\) 0.216943 + 4.41480i 0.00818800 + 0.166626i
\(703\) 7.04793i 0.265818i
\(704\) 2.18956 0.386078i 0.0825220 0.0145509i
\(705\) −65.6890 + 39.3729i −2.47399 + 1.48287i
\(706\) −4.34779 11.9454i −0.163631 0.449573i
\(707\) 16.8230 11.2468i 0.632693 0.422979i
\(708\) 1.59262 4.60902i 0.0598542 0.173218i
\(709\) −10.1591 3.69761i −0.381533 0.138867i 0.144132 0.989559i \(-0.453961\pi\)
−0.525665 + 0.850692i \(0.676183\pi\)
\(710\) −23.7159 41.0771i −0.890042 1.54160i
\(711\) 0.364102 + 1.73146i 0.0136549 + 0.0649347i
\(712\) −14.9462 8.62919i −0.560132 0.323392i
\(713\) 4.66013 3.91031i 0.174523 0.146442i
\(714\) 28.0396 19.4170i 1.04936 0.726663i
\(715\) −1.16413 + 6.60213i −0.0435362 + 0.246906i
\(716\) −5.80287 1.02320i −0.216864 0.0382389i
\(717\) 28.4717 10.8938i 1.06330 0.406836i
\(718\) −15.3043 + 12.8418i −0.571150 + 0.479252i
\(719\) 9.17385 15.8896i 0.342127 0.592581i −0.642701 0.766117i \(-0.722186\pi\)
0.984827 + 0.173537i \(0.0555195\pi\)
\(720\) −10.6283 + 0.348027i −0.396093 + 0.0129702i
\(721\) −1.58974 6.48976i −0.0592051 0.241691i
\(722\) 1.57584 4.32957i 0.0586465 0.161130i
\(723\) −2.34850 12.1525i −0.0873417 0.451955i
\(724\) 10.3843 12.3755i 0.385929 0.459933i
\(725\) 1.73648 + 4.77093i 0.0644911 + 0.177188i
\(726\) −10.4893 + 0.171691i −0.389293 + 0.00637206i
\(727\) −41.7009 + 7.35299i −1.54660 + 0.272707i −0.880823 0.473445i \(-0.843010\pi\)
−0.665776 + 0.746152i \(0.731899\pi\)
\(728\) 0.629252 2.16086i 0.0233216 0.0800870i
\(729\) −26.8699 + 2.64717i −0.995182 + 0.0980432i
\(730\) −22.3127 −0.825830
\(731\) 12.5520 + 71.1861i 0.464253 + 2.63291i
\(732\) −2.69930 + 0.0441828i −0.0997688 + 0.00163305i
\(733\) 6.61059 + 18.1624i 0.244168 + 0.670845i 0.999873 + 0.0159333i \(0.00507194\pi\)
−0.755705 + 0.654912i \(0.772706\pi\)
\(734\) −20.1128 16.8766i −0.742376 0.622927i
\(735\) 39.9770 + 15.7746i 1.47458 + 0.581855i
\(736\) 3.82423 + 1.39191i 0.140963 + 0.0513063i
\(737\) 16.2449 9.37902i 0.598390 0.345481i
\(738\) 0.905791 + 27.6617i 0.0333426 + 1.01824i
\(739\) 18.1967 31.5176i 0.669377 1.15940i −0.308702 0.951159i \(-0.599894\pi\)
0.978079 0.208236i \(-0.0667722\pi\)
\(740\) −5.04454 + 4.23287i −0.185441 + 0.155603i
\(741\) −1.99747 5.22054i −0.0733790 0.191781i
\(742\) −31.9447 15.7435i −1.17273 0.577963i
\(743\) −17.7368 3.12748i −0.650700 0.114736i −0.161452 0.986881i \(-0.551618\pi\)
−0.489248 + 0.872145i \(0.662729\pi\)
\(744\) 1.63155 2.01033i 0.0598155 0.0737022i
\(745\) −36.2565 43.2088i −1.32833 1.58305i
\(746\) 15.8851 + 9.17125i 0.581594 + 0.335783i
\(747\) 4.50394 + 21.4181i 0.164791 + 0.783648i
\(748\) 14.3305 8.27370i 0.523974 0.302516i
\(749\) −17.4120 12.7604i −0.636222 0.466254i
\(750\) 14.8823 + 5.14247i 0.543424 + 0.187776i
\(751\) −35.5528 29.8323i −1.29734 1.08860i −0.990598 0.136804i \(-0.956317\pi\)
−0.306741 0.951793i \(-0.599238\pi\)
\(752\) 11.7218 4.26638i 0.427450 0.155579i
\(753\) 1.69178 1.01402i 0.0616517 0.0369530i
\(754\) −0.562256 + 0.0991409i −0.0204761 + 0.00361050i
\(755\) −28.6631 −1.04316
\(756\) 13.3722 + 3.19126i 0.486342 + 0.116065i
\(757\) 34.0275 1.23675 0.618376 0.785883i \(-0.287791\pi\)
0.618376 + 0.785883i \(0.287791\pi\)
\(758\) −3.26231 + 0.575234i −0.118493 + 0.0208934i
\(759\) 13.6987 + 7.61280i 0.497233 + 0.276327i
\(760\) 12.6366 4.59934i 0.458377 0.166836i
\(761\) 36.9654 + 31.0176i 1.33999 + 1.12439i 0.981627 + 0.190808i \(0.0611107\pi\)
0.358367 + 0.933581i \(0.383334\pi\)
\(762\) −13.5654 + 11.7664i −0.491422 + 0.426251i
\(763\) −15.2543 + 20.8151i −0.552242 + 0.753556i
\(764\) −1.09558 + 0.632534i −0.0396367 + 0.0228843i
\(765\) −73.4459 + 29.4886i −2.65544 + 1.06616i
\(766\) 24.1473 + 13.9414i 0.872476 + 0.503725i
\(767\) −1.53944 1.83463i −0.0555858 0.0662446i
\(768\) 1.71043 + 0.272811i 0.0617199 + 0.00984422i
\(769\)