Properties

Label 273.2.bf.b.152.8
Level $273$
Weight $2$
Character 273.152
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
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] = [273,2,Mod(152,273)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(273, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([3, 5, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("273.152");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bf (of order \(6\), degree \(2\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 152.8
Character \(\chi\) \(=\) 273.152
Dual form 273.2.bf.b.185.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.60258 + 0.925247i) q^{2} +(0.929062 + 1.46179i) q^{3} +(0.712166 - 1.23351i) q^{4} +(1.21731 - 2.10844i) q^{5} +(-2.84141 - 1.48302i) q^{6} +(-0.567699 + 2.58413i) q^{7} -1.06527i q^{8} +(-1.27369 + 2.71620i) q^{9} +O(q^{10})\) \(q+(-1.60258 + 0.925247i) q^{2} +(0.929062 + 1.46179i) q^{3} +(0.712166 - 1.23351i) q^{4} +(1.21731 - 2.10844i) q^{5} +(-2.84141 - 1.48302i) q^{6} +(-0.567699 + 2.58413i) q^{7} -1.06527i q^{8} +(-1.27369 + 2.71620i) q^{9} +4.50525i q^{10} +2.91044i q^{11} +(2.46478 - 0.104964i) q^{12} +(2.41102 + 2.68085i) q^{13} +(-1.48118 - 4.66652i) q^{14} +(4.21307 - 0.179416i) q^{15} +(2.40997 + 4.17419i) q^{16} +(-0.467925 + 0.810471i) q^{17} +(-0.471970 - 5.53139i) q^{18} -2.21042i q^{19} +(-1.73385 - 3.00312i) q^{20} +(-4.30489 + 1.57095i) q^{21} +(-2.69288 - 4.66420i) q^{22} +(-5.40559 + 3.12092i) q^{23} +(1.55721 - 0.989703i) q^{24} +(-0.463688 - 0.803132i) q^{25} +(-6.34430 - 2.06548i) q^{26} +(-5.15386 + 0.661641i) q^{27} +(2.78324 + 2.54059i) q^{28} +(1.34529 + 0.776702i) q^{29} +(-6.58576 + 4.18566i) q^{30} +(2.50768 - 1.44781i) q^{31} +(-5.87922 - 3.39437i) q^{32} +(-4.25446 + 2.70398i) q^{33} -1.73179i q^{34} +(4.75742 + 4.34265i) q^{35} +(2.44337 + 3.50549i) q^{36} +(-4.07926 - 7.06548i) q^{37} +(2.04518 + 3.54236i) q^{38} +(-1.67887 + 6.01510i) q^{39} +(-2.24607 - 1.29677i) q^{40} +(4.41024 - 7.63876i) q^{41} +(5.44539 - 6.50066i) q^{42} +(5.40029 + 9.35358i) q^{43} +(3.59005 + 2.07271i) q^{44} +(4.17647 + 5.99195i) q^{45} +(5.77524 - 10.0030i) q^{46} +(-3.63232 + 6.29136i) q^{47} +(-3.86280 + 7.40097i) q^{48} +(-6.35544 - 2.93402i) q^{49} +(1.48619 + 0.858053i) q^{50} +(-1.61947 + 0.0689662i) q^{51} +(5.02390 - 1.06480i) q^{52} +(4.86267 - 2.80747i) q^{53} +(7.64726 - 5.82892i) q^{54} +(6.13649 + 3.54291i) q^{55} +(2.75280 + 0.604754i) q^{56} +(3.23118 - 2.05362i) q^{57} -2.87457 q^{58} +(3.28138 - 5.68352i) q^{59} +(2.77909 - 5.32462i) q^{60} -5.29791i q^{61} +(-2.67916 + 4.64044i) q^{62} +(-6.29592 - 4.83336i) q^{63} +2.92263 q^{64} +(8.58739 - 1.82007i) q^{65} +(4.31625 - 8.26976i) q^{66} +11.2711 q^{67} +(0.666481 + 1.15438i) q^{68} +(-9.58427 - 5.00234i) q^{69} +(-11.6421 - 2.55763i) q^{70} +(-3.16646 + 1.82815i) q^{71} +(2.89349 + 1.35683i) q^{72} +(10.0645 - 5.81075i) q^{73} +(13.0746 + 7.54865i) q^{74} +(0.743219 - 1.42398i) q^{75} +(-2.72657 - 1.57418i) q^{76} +(-7.52095 - 1.65225i) q^{77} +(-2.87494 - 11.1930i) q^{78} +(3.06379 - 5.30664i) q^{79} +11.7347 q^{80} +(-5.75543 - 6.91918i) q^{81} +16.3222i q^{82} +13.9468 q^{83} +(-1.12801 + 6.42890i) q^{84} +(1.13922 + 1.97319i) q^{85} +(-17.3087 - 9.99321i) q^{86} +(0.114476 + 2.68814i) q^{87} +3.10041 q^{88} +(2.66806 + 4.62122i) q^{89} +(-12.2371 - 5.73829i) q^{90} +(-8.29640 + 4.70847i) q^{91} +8.89044i q^{92} +(4.44619 + 2.32061i) q^{93} -13.4432i q^{94} +(-4.66054 - 2.69076i) q^{95} +(-0.500286 - 11.7478i) q^{96} +(-10.8818 + 6.28262i) q^{97} +(12.8998 - 1.17837i) q^{98} +(-7.90532 - 3.70699i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q + 32 q^{4} - 12 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q + 32 q^{4} - 12 q^{6} - 4 q^{7} + 8 q^{9} + 6 q^{12} - 12 q^{13} - 9 q^{15} - 16 q^{16} + 2 q^{18} + 10 q^{21} + 10 q^{22} - 24 q^{25} - 50 q^{28} - 16 q^{30} - 24 q^{31} - 33 q^{39} + 90 q^{40} - 48 q^{42} - 20 q^{43} - 3 q^{45} + 6 q^{48} - 10 q^{51} + 30 q^{52} - 27 q^{54} + 18 q^{55} + 4 q^{57} - 60 q^{58} + 55 q^{60} - 74 q^{63} - 84 q^{64} + 75 q^{66} - 88 q^{67} - 33 q^{69} + 20 q^{70} - 34 q^{72} + 84 q^{73} + 33 q^{75} + 18 q^{76} - 71 q^{78} + 20 q^{79} - 32 q^{81} - 6 q^{84} - 2 q^{85} + 3 q^{87} + 92 q^{88} - 76 q^{91} + 28 q^{93} + 30 q^{96} + 24 q^{97} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.60258 + 0.925247i −1.13319 + 0.654249i −0.944736 0.327833i \(-0.893682\pi\)
−0.188456 + 0.982082i \(0.560348\pi\)
\(3\) 0.929062 + 1.46179i 0.536394 + 0.843968i
\(4\) 0.712166 1.23351i 0.356083 0.616754i
\(5\) 1.21731 2.10844i 0.544398 0.942924i −0.454247 0.890876i \(-0.650092\pi\)
0.998645 0.0520486i \(-0.0165751\pi\)
\(6\) −2.84141 1.48302i −1.16000 0.605442i
\(7\) −0.567699 + 2.58413i −0.214570 + 0.976709i
\(8\) 1.06527i 0.376631i
\(9\) −1.27369 + 2.71620i −0.424563 + 0.905398i
\(10\) 4.50525i 1.42469i
\(11\) 2.91044i 0.877530i 0.898602 + 0.438765i \(0.144584\pi\)
−0.898602 + 0.438765i \(0.855416\pi\)
\(12\) 2.46478 0.104964i 0.711521 0.0303005i
\(13\) 2.41102 + 2.68085i 0.668697 + 0.743535i
\(14\) −1.48118 4.66652i −0.395861 1.24718i
\(15\) 4.21307 0.179416i 1.08781 0.0463250i
\(16\) 2.40997 + 4.17419i 0.602493 + 1.04355i
\(17\) −0.467925 + 0.810471i −0.113489 + 0.196568i −0.917175 0.398486i \(-0.869536\pi\)
0.803686 + 0.595054i \(0.202869\pi\)
\(18\) −0.471970 5.53139i −0.111244 1.30376i
\(19\) 2.21042i 0.507105i −0.967322 0.253552i \(-0.918401\pi\)
0.967322 0.253552i \(-0.0815990\pi\)
\(20\) −1.73385 3.00312i −0.387701 0.671518i
\(21\) −4.30489 + 1.57095i −0.939405 + 0.342810i
\(22\) −2.69288 4.66420i −0.574123 0.994410i
\(23\) −5.40559 + 3.12092i −1.12714 + 0.650756i −0.943215 0.332183i \(-0.892215\pi\)
−0.183928 + 0.982940i \(0.558881\pi\)
\(24\) 1.55721 0.989703i 0.317864 0.202022i
\(25\) −0.463688 0.803132i −0.0927377 0.160626i
\(26\) −6.34430 2.06548i −1.24422 0.405073i
\(27\) −5.15386 + 0.661641i −0.991860 + 0.127333i
\(28\) 2.78324 + 2.54059i 0.525984 + 0.480126i
\(29\) 1.34529 + 0.776702i 0.249814 + 0.144230i 0.619679 0.784855i \(-0.287263\pi\)
−0.369865 + 0.929085i \(0.620596\pi\)
\(30\) −6.58576 + 4.18566i −1.20239 + 0.764193i
\(31\) 2.50768 1.44781i 0.450392 0.260034i −0.257604 0.966251i \(-0.582933\pi\)
0.707996 + 0.706217i \(0.249600\pi\)
\(32\) −5.87922 3.39437i −1.03931 0.600045i
\(33\) −4.25446 + 2.70398i −0.740607 + 0.470702i
\(34\) 1.73179i 0.296999i
\(35\) 4.75742 + 4.34265i 0.804151 + 0.734041i
\(36\) 2.44337 + 3.50549i 0.407228 + 0.584248i
\(37\) −4.07926 7.06548i −0.670626 1.16156i −0.977727 0.209882i \(-0.932692\pi\)
0.307101 0.951677i \(-0.400641\pi\)
\(38\) 2.04518 + 3.54236i 0.331773 + 0.574647i
\(39\) −1.67887 + 6.01510i −0.268834 + 0.963186i
\(40\) −2.24607 1.29677i −0.355134 0.205037i
\(41\) 4.41024 7.63876i 0.688764 1.19297i −0.283475 0.958980i \(-0.591487\pi\)
0.972238 0.233994i \(-0.0751795\pi\)
\(42\) 5.44539 6.50066i 0.840243 1.00307i
\(43\) 5.40029 + 9.35358i 0.823537 + 1.42641i 0.903033 + 0.429572i \(0.141336\pi\)
−0.0794962 + 0.996835i \(0.525331\pi\)
\(44\) 3.59005 + 2.07271i 0.541220 + 0.312473i
\(45\) 4.17647 + 5.99195i 0.622591 + 0.893228i
\(46\) 5.77524 10.0030i 0.851513 1.47486i
\(47\) −3.63232 + 6.29136i −0.529828 + 0.917689i 0.469567 + 0.882897i \(0.344410\pi\)
−0.999395 + 0.0347919i \(0.988923\pi\)
\(48\) −3.86280 + 7.40097i −0.557547 + 1.06824i
\(49\) −6.35544 2.93402i −0.907919 0.419145i
\(50\) 1.48619 + 0.858053i 0.210179 + 0.121347i
\(51\) −1.61947 + 0.0689662i −0.226772 + 0.00965720i
\(52\) 5.02390 1.06480i 0.696689 0.147661i
\(53\) 4.86267 2.80747i 0.667939 0.385635i −0.127356 0.991857i \(-0.540649\pi\)
0.795295 + 0.606222i \(0.207316\pi\)
\(54\) 7.64726 5.82892i 1.04066 0.793216i
\(55\) 6.13649 + 3.54291i 0.827445 + 0.477725i
\(56\) 2.75280 + 0.604754i 0.367858 + 0.0808137i
\(57\) 3.23118 2.05362i 0.427980 0.272008i
\(58\) −2.87457 −0.377449
\(59\) 3.28138 5.68352i 0.427199 0.739931i −0.569424 0.822044i \(-0.692834\pi\)
0.996623 + 0.0821132i \(0.0261669\pi\)
\(60\) 2.77909 5.32462i 0.358779 0.687406i
\(61\) 5.29791i 0.678328i −0.940727 0.339164i \(-0.889856\pi\)
0.940727 0.339164i \(-0.110144\pi\)
\(62\) −2.67916 + 4.64044i −0.340254 + 0.589337i
\(63\) −6.29592 4.83336i −0.793212 0.608946i
\(64\) 2.92263 0.365329
\(65\) 8.58739 1.82007i 1.06513 0.225752i
\(66\) 4.31625 8.26976i 0.531294 1.01794i
\(67\) 11.2711 1.37698 0.688491 0.725245i \(-0.258274\pi\)
0.688491 + 0.725245i \(0.258274\pi\)
\(68\) 0.666481 + 1.15438i 0.0808227 + 0.139989i
\(69\) −9.58427 5.00234i −1.15381 0.602211i
\(70\) −11.6421 2.55763i −1.39150 0.305695i
\(71\) −3.16646 + 1.82815i −0.375789 + 0.216962i −0.675985 0.736916i \(-0.736281\pi\)
0.300195 + 0.953878i \(0.402948\pi\)
\(72\) 2.89349 + 1.35683i 0.341001 + 0.159903i
\(73\) 10.0645 5.81075i 1.17796 0.680097i 0.222420 0.974951i \(-0.428604\pi\)
0.955542 + 0.294854i \(0.0952711\pi\)
\(74\) 13.0746 + 7.54865i 1.51990 + 0.877513i
\(75\) 0.743219 1.42398i 0.0858195 0.164427i
\(76\) −2.72657 1.57418i −0.312759 0.180571i
\(77\) −7.52095 1.65225i −0.857091 0.188292i
\(78\) −2.87494 11.1930i −0.325523 1.26736i
\(79\) 3.06379 5.30664i 0.344704 0.597044i −0.640596 0.767878i \(-0.721313\pi\)
0.985300 + 0.170834i \(0.0546461\pi\)
\(80\) 11.7347 1.31198
\(81\) −5.75543 6.91918i −0.639493 0.768797i
\(82\) 16.3222i 1.80249i
\(83\) 13.9468 1.53086 0.765428 0.643522i \(-0.222527\pi\)
0.765428 + 0.643522i \(0.222527\pi\)
\(84\) −1.12801 + 6.42890i −0.123076 + 0.701450i
\(85\) 1.13922 + 1.97319i 0.123566 + 0.214022i
\(86\) −17.3087 9.99321i −1.86645 1.07760i
\(87\) 0.114476 + 2.68814i 0.0122731 + 0.288199i
\(88\) 3.10041 0.330505
\(89\) 2.66806 + 4.62122i 0.282814 + 0.489848i 0.972077 0.234663i \(-0.0753987\pi\)
−0.689263 + 0.724512i \(0.742065\pi\)
\(90\) −12.2371 5.73829i −1.28991 0.604869i
\(91\) −8.29640 + 4.70847i −0.869699 + 0.493582i
\(92\) 8.89044i 0.926893i
\(93\) 4.44619 + 2.32061i 0.461048 + 0.240636i
\(94\) 13.4432i 1.38656i
\(95\) −4.66054 2.69076i −0.478161 0.276067i
\(96\) −0.500286 11.7478i −0.0510602 1.19900i
\(97\) −10.8818 + 6.28262i −1.10488 + 0.637903i −0.937499 0.347989i \(-0.886865\pi\)
−0.167382 + 0.985892i \(0.553531\pi\)
\(98\) 12.8998 1.17837i 1.30307 0.119033i
\(99\) −7.90532 3.70699i −0.794514 0.372567i
\(100\) −1.32089 −0.132089
\(101\) −5.03213 −0.500716 −0.250358 0.968153i \(-0.580548\pi\)
−0.250358 + 0.968153i \(0.580548\pi\)
\(102\) 2.53152 1.60894i 0.250658 0.159309i
\(103\) 1.51540 + 0.874919i 0.149317 + 0.0862083i 0.572797 0.819697i \(-0.305858\pi\)
−0.423480 + 0.905905i \(0.639192\pi\)
\(104\) 2.85584 2.56839i 0.280038 0.251852i
\(105\) −1.92812 + 10.9890i −0.188165 + 1.07241i
\(106\) −5.19520 + 8.99835i −0.504602 + 0.873997i
\(107\) −2.56723 + 1.48219i −0.248184 + 0.143289i −0.618932 0.785444i \(-0.712435\pi\)
0.370749 + 0.928733i \(0.379101\pi\)
\(108\) −2.85426 + 6.82852i −0.274651 + 0.657074i
\(109\) −0.398868 0.690860i −0.0382047 0.0661724i 0.846291 0.532721i \(-0.178831\pi\)
−0.884495 + 0.466549i \(0.845497\pi\)
\(110\) −13.1123 −1.25020
\(111\) 6.53841 12.5273i 0.620598 1.18904i
\(112\) −12.1548 + 3.85799i −1.14852 + 0.364546i
\(113\) −2.85998 + 1.65121i −0.269044 + 0.155333i −0.628453 0.777847i \(-0.716312\pi\)
0.359409 + 0.933180i \(0.382978\pi\)
\(114\) −3.27811 + 6.28071i −0.307023 + 0.588243i
\(115\) 15.1965i 1.41708i
\(116\) 1.91613 1.10628i 0.177909 0.102716i
\(117\) −10.3526 + 3.13423i −0.957099 + 0.289760i
\(118\) 12.1444i 1.11798i
\(119\) −1.82872 1.66928i −0.167638 0.153023i
\(120\) −0.191127 4.48806i −0.0174474 0.409702i
\(121\) 2.52935 0.229941
\(122\) 4.90188 + 8.49030i 0.443795 + 0.768676i
\(123\) 15.2637 0.650012i 1.37628 0.0586096i
\(124\) 4.12432i 0.370375i
\(125\) 9.91529 0.886851
\(126\) 14.5617 + 1.92053i 1.29726 + 0.171095i
\(127\) 9.33854 16.1748i 0.828661 1.43528i −0.0704275 0.997517i \(-0.522436\pi\)
0.899089 0.437766i \(-0.144230\pi\)
\(128\) 7.07469 4.08458i 0.625320 0.361029i
\(129\) −8.65581 + 16.5842i −0.762101 + 1.46015i
\(130\) −12.0779 + 10.8623i −1.05930 + 0.952684i
\(131\) −6.01716 + 10.4220i −0.525722 + 0.910577i 0.473829 + 0.880617i \(0.342871\pi\)
−0.999551 + 0.0299599i \(0.990462\pi\)
\(132\) 0.305491 + 7.17359i 0.0265896 + 0.624381i
\(133\) 5.71200 + 1.25485i 0.495294 + 0.108810i
\(134\) −18.0628 + 10.4285i −1.56038 + 0.900888i
\(135\) −4.87881 + 11.6720i −0.419901 + 1.00457i
\(136\) 0.863372 + 0.498468i 0.0740335 + 0.0427433i
\(137\) −9.01097 5.20248i −0.769859 0.444478i 0.0629654 0.998016i \(-0.479944\pi\)
−0.832824 + 0.553537i \(0.813278\pi\)
\(138\) 19.9879 0.851196i 1.70148 0.0724586i
\(139\) 7.27394 4.19961i 0.616967 0.356206i −0.158720 0.987324i \(-0.550737\pi\)
0.775687 + 0.631117i \(0.217403\pi\)
\(140\) 8.74476 2.77563i 0.739067 0.234583i
\(141\) −12.5713 + 0.535357i −1.05870 + 0.0450852i
\(142\) 3.38299 5.85951i 0.283894 0.491719i
\(143\) −7.80246 + 7.01713i −0.652474 + 0.586802i
\(144\) −14.4075 + 1.22933i −1.20062 + 0.102444i
\(145\) 3.27526 1.89097i 0.271996 0.157037i
\(146\) −10.7528 + 18.6243i −0.889905 + 1.54136i
\(147\) −1.61566 12.0162i −0.133258 0.991081i
\(148\) −11.6204 −0.955194
\(149\) 18.3840i 1.50608i −0.657976 0.753039i \(-0.728587\pi\)
0.657976 0.753039i \(-0.271413\pi\)
\(150\) 0.126466 + 2.96969i 0.0103259 + 0.242474i
\(151\) −11.4964 19.9124i −0.935564 1.62044i −0.773625 0.633643i \(-0.781559\pi\)
−0.161938 0.986801i \(-0.551775\pi\)
\(152\) −2.35470 −0.190991
\(153\) −1.60541 2.30326i −0.129789 0.186208i
\(154\) 13.5816 4.31087i 1.09444 0.347380i
\(155\) 7.04973i 0.566248i
\(156\) 6.22403 + 6.35464i 0.498321 + 0.508779i
\(157\) 1.89695 1.09521i 0.151393 0.0874069i −0.422390 0.906414i \(-0.638809\pi\)
0.573783 + 0.819007i \(0.305475\pi\)
\(158\) 11.3391i 0.902088i
\(159\) 8.62166 + 4.49992i 0.683742 + 0.356867i
\(160\) −14.3137 + 8.26400i −1.13159 + 0.653326i
\(161\) −4.99610 15.7405i −0.393748 1.24052i
\(162\) 15.6255 + 5.76330i 1.22765 + 0.452808i
\(163\) −18.1070 −1.41825 −0.709123 0.705085i \(-0.750909\pi\)
−0.709123 + 0.705085i \(0.750909\pi\)
\(164\) −6.28164 10.8801i −0.490514 0.849595i
\(165\) 0.522179 + 12.2619i 0.0406516 + 0.954586i
\(166\) −22.3507 + 12.9042i −1.73475 + 1.00156i
\(167\) −10.4421 + 18.0863i −0.808034 + 1.39956i 0.106189 + 0.994346i \(0.466135\pi\)
−0.914223 + 0.405211i \(0.867198\pi\)
\(168\) 1.67349 + 4.58588i 0.129113 + 0.353808i
\(169\) −1.37395 + 12.9272i −0.105688 + 0.994399i
\(170\) −3.65137 2.10812i −0.280048 0.161686i
\(171\) 6.00393 + 2.81539i 0.459132 + 0.215298i
\(172\) 15.3836 1.17299
\(173\) 20.1108 1.52899 0.764497 0.644627i \(-0.222987\pi\)
0.764497 + 0.644627i \(0.222987\pi\)
\(174\) −2.67065 4.20202i −0.202461 0.318555i
\(175\) 2.33863 0.742293i 0.176784 0.0561120i
\(176\) −12.1487 + 7.01407i −0.915745 + 0.528706i
\(177\) 11.3567 0.483633i 0.853625 0.0363521i
\(178\) −8.55154 4.93724i −0.640965 0.370061i
\(179\) 14.8458i 1.10962i −0.831975 0.554812i \(-0.812790\pi\)
0.831975 0.554812i \(-0.187210\pi\)
\(180\) 10.3655 0.884441i 0.772595 0.0659224i
\(181\) 5.65885i 0.420619i 0.977635 + 0.210309i \(0.0674472\pi\)
−0.977635 + 0.210309i \(0.932553\pi\)
\(182\) 8.93911 15.2219i 0.662611 1.12832i
\(183\) 7.74446 4.92209i 0.572487 0.363851i
\(184\) 3.32463 + 5.75842i 0.245095 + 0.424517i
\(185\) −19.8629 −1.46035
\(186\) −9.27248 + 0.394874i −0.679892 + 0.0289536i
\(187\) −2.35882 1.36187i −0.172494 0.0995897i
\(188\) 5.17362 + 8.96098i 0.377325 + 0.653547i
\(189\) 1.21607 13.6938i 0.0884564 0.996080i
\(190\) 9.95849 0.722465
\(191\) 17.1951i 1.24419i −0.782941 0.622096i \(-0.786281\pi\)
0.782941 0.622096i \(-0.213719\pi\)
\(192\) 2.71531 + 4.27229i 0.195960 + 0.308326i
\(193\) −7.33269 −0.527819 −0.263909 0.964547i \(-0.585012\pi\)
−0.263909 + 0.964547i \(0.585012\pi\)
\(194\) 11.6260 20.1367i 0.834695 1.44573i
\(195\) 10.6388 + 10.8620i 0.761859 + 0.777847i
\(196\) −8.14525 + 5.74997i −0.581804 + 0.410712i
\(197\) 2.00044 + 1.15495i 0.142525 + 0.0822869i 0.569567 0.821945i \(-0.307111\pi\)
−0.427042 + 0.904232i \(0.640444\pi\)
\(198\) 16.0988 1.37364i 1.14409 0.0976204i
\(199\) −0.565923 0.326736i −0.0401172 0.0231617i 0.479807 0.877374i \(-0.340707\pi\)
−0.519924 + 0.854212i \(0.674040\pi\)
\(200\) −0.855554 + 0.493954i −0.0604968 + 0.0349278i
\(201\) 10.4715 + 16.4760i 0.738605 + 1.16213i
\(202\) 8.06437 4.65597i 0.567407 0.327593i
\(203\) −2.77082 + 3.03546i −0.194473 + 0.213048i
\(204\) −1.06826 + 2.04675i −0.0747934 + 0.143301i
\(205\) −10.7373 18.5975i −0.749923 1.29890i
\(206\) −3.23807 −0.225607
\(207\) −1.59199 18.6577i −0.110651 1.29680i
\(208\) −5.37990 + 16.5249i −0.373029 + 1.14579i
\(209\) 6.43329 0.445000
\(210\) −7.07755 19.3946i −0.488397 1.33836i
\(211\) 12.5200 21.6853i 0.861914 1.49288i −0.00816553 0.999967i \(-0.502599\pi\)
0.870079 0.492912i \(-0.164067\pi\)
\(212\) 7.99752i 0.549272i
\(213\) −5.61422 2.93024i −0.384680 0.200777i
\(214\) 2.74279 4.75065i 0.187493 0.324748i
\(215\) 26.2953 1.79333
\(216\) 0.704828 + 5.49026i 0.0479575 + 0.373565i
\(217\) 2.31772 + 7.30208i 0.157337 + 0.495697i
\(218\) 1.27843 + 0.738104i 0.0865865 + 0.0499907i
\(219\) 17.8447 + 9.31371i 1.20583 + 0.629362i
\(220\) 8.74040 5.04627i 0.589278 0.340220i
\(221\) −3.30093 + 0.699623i −0.222045 + 0.0470618i
\(222\) 1.11257 + 26.1256i 0.0746710 + 1.75344i
\(223\) −3.05038 1.76114i −0.204269 0.117934i 0.394376 0.918949i \(-0.370961\pi\)
−0.598645 + 0.801014i \(0.704294\pi\)
\(224\) 12.1091 13.2657i 0.809074 0.886350i
\(225\) 2.77206 0.236528i 0.184804 0.0157685i
\(226\) 3.05555 5.29238i 0.203252 0.352044i
\(227\) 4.52606 7.83936i 0.300405 0.520317i −0.675823 0.737064i \(-0.736212\pi\)
0.976228 + 0.216748i \(0.0695448\pi\)
\(228\) −0.232014 5.44820i −0.0153655 0.360816i
\(229\) −7.18498 4.14825i −0.474797 0.274124i 0.243449 0.969914i \(-0.421721\pi\)
−0.718246 + 0.695790i \(0.755055\pi\)
\(230\) −14.0605 24.3535i −0.927124 1.60583i
\(231\) −4.57217 12.5291i −0.300826 0.824356i
\(232\) 0.827399 1.43310i 0.0543214 0.0940874i
\(233\) 12.6172 + 7.28454i 0.826579 + 0.477226i 0.852680 0.522434i \(-0.174976\pi\)
−0.0261007 + 0.999659i \(0.508309\pi\)
\(234\) 13.6909 14.6016i 0.895002 0.954535i
\(235\) 8.84331 + 15.3171i 0.576874 + 0.999176i
\(236\) −4.67377 8.09521i −0.304237 0.526953i
\(237\) 10.6037 0.451564i 0.688783 0.0293322i
\(238\) 4.47516 + 0.983134i 0.290082 + 0.0637271i
\(239\) 5.83004i 0.377114i −0.982062 0.188557i \(-0.939619\pi\)
0.982062 0.188557i \(-0.0603811\pi\)
\(240\) 10.9023 + 17.1538i 0.703740 + 1.10727i
\(241\) −17.6226 10.1744i −1.13517 0.655393i −0.189942 0.981795i \(-0.560830\pi\)
−0.945231 + 0.326403i \(0.894163\pi\)
\(242\) −4.05347 + 2.34027i −0.260567 + 0.150438i
\(243\) 4.76726 14.8416i 0.305820 0.952089i
\(244\) −6.53501 3.77299i −0.418361 0.241541i
\(245\) −13.9227 + 9.82847i −0.889491 + 0.627918i
\(246\) −23.8598 + 15.1644i −1.52124 + 0.966845i
\(247\) 5.92581 5.32937i 0.377050 0.339100i
\(248\) −1.54231 2.67136i −0.0979368 0.169631i
\(249\) 12.9574 + 20.3873i 0.821142 + 1.29199i
\(250\) −15.8900 + 9.17410i −1.00497 + 0.580221i
\(251\) 4.57677 + 7.92719i 0.288883 + 0.500360i 0.973543 0.228502i \(-0.0733828\pi\)
−0.684660 + 0.728862i \(0.740049\pi\)
\(252\) −10.4457 + 4.32392i −0.658019 + 0.272381i
\(253\) −9.08324 15.7326i −0.571058 0.989102i
\(254\) 34.5618i 2.16860i
\(255\) −1.82599 + 3.49852i −0.114348 + 0.219086i
\(256\) −10.4811 + 18.1538i −0.655070 + 1.13461i
\(257\) 1.78295 + 3.08815i 0.111217 + 0.192634i 0.916261 0.400581i \(-0.131192\pi\)
−0.805044 + 0.593215i \(0.797858\pi\)
\(258\) −1.47287 34.5861i −0.0916969 2.15324i
\(259\) 20.5739 6.53026i 1.27840 0.405771i
\(260\) 3.87057 11.8888i 0.240043 0.737312i
\(261\) −3.82315 + 2.66479i −0.236647 + 0.164946i
\(262\) 22.2694i 1.37581i
\(263\) 16.6697i 1.02790i 0.857820 + 0.513950i \(0.171818\pi\)
−0.857820 + 0.513950i \(0.828182\pi\)
\(264\) 2.88047 + 4.53216i 0.177281 + 0.278935i
\(265\) 13.6702i 0.839755i
\(266\) −10.3150 + 3.27402i −0.632451 + 0.200743i
\(267\) −4.27648 + 8.19356i −0.261716 + 0.501438i
\(268\) 8.02688 13.9030i 0.490319 0.849258i
\(269\) −5.27754 + 9.14097i −0.321777 + 0.557335i −0.980855 0.194740i \(-0.937614\pi\)
0.659077 + 0.752075i \(0.270947\pi\)
\(270\) −2.98086 23.2194i −0.181409 1.41309i
\(271\) −0.198780 + 0.114766i −0.0120750 + 0.00697152i −0.506025 0.862519i \(-0.668886\pi\)
0.493950 + 0.869490i \(0.335552\pi\)
\(272\) −4.51075 −0.273504
\(273\) −14.5907 7.75318i −0.883069 0.469244i
\(274\) 19.2543 1.16320
\(275\) 2.33747 1.34954i 0.140954 0.0813801i
\(276\) −12.9960 + 8.25977i −0.782267 + 0.497180i
\(277\) −2.04876 + 3.54855i −0.123098 + 0.213212i −0.920988 0.389591i \(-0.872616\pi\)
0.797890 + 0.602803i \(0.205950\pi\)
\(278\) −7.77136 + 13.4604i −0.466095 + 0.807300i
\(279\) 0.738529 + 8.65540i 0.0442146 + 0.518185i
\(280\) 4.62610 5.06795i 0.276462 0.302868i
\(281\) 25.6488i 1.53008i 0.643983 + 0.765040i \(0.277281\pi\)
−0.643983 + 0.765040i \(0.722719\pi\)
\(282\) 19.6512 12.4895i 1.17021 0.743741i
\(283\) 27.6920i 1.64612i 0.567956 + 0.823059i \(0.307734\pi\)
−0.567956 + 0.823059i \(0.692266\pi\)
\(284\) 5.20779i 0.309026i
\(285\) −0.396584 9.31264i −0.0234916 0.551633i
\(286\) 6.01144 18.4647i 0.355464 1.09184i
\(287\) 17.2358 + 15.7331i 1.01740 + 0.928698i
\(288\) 16.7081 11.6457i 0.984532 0.686231i
\(289\) 8.06209 + 13.9640i 0.474241 + 0.821409i
\(290\) −3.49924 + 6.06086i −0.205482 + 0.355906i
\(291\) −19.2938 10.0700i −1.13102 0.590316i
\(292\) 16.5529i 0.968683i
\(293\) 1.21080 + 2.09716i 0.0707356 + 0.122518i 0.899224 0.437489i \(-0.144132\pi\)
−0.828488 + 0.560006i \(0.810799\pi\)
\(294\) 13.7072 + 17.7620i 0.799420 + 1.03590i
\(295\) −7.98892 13.8372i −0.465133 0.805633i
\(296\) −7.52666 + 4.34552i −0.437478 + 0.252578i
\(297\) −1.92567 15.0000i −0.111738 0.870387i
\(298\) 17.0098 + 29.4618i 0.985350 + 1.70668i
\(299\) −21.3997 6.96699i −1.23758 0.402911i
\(300\) −1.22719 1.93087i −0.0708518 0.111479i
\(301\) −27.2366 + 8.64502i −1.56989 + 0.498291i
\(302\) 36.8477 + 21.2740i 2.12035 + 1.22418i
\(303\) −4.67516 7.35594i −0.268581 0.422588i
\(304\) 9.22671 5.32705i 0.529188 0.305527i
\(305\) −11.1703 6.44920i −0.639612 0.369280i
\(306\) 4.70387 + 2.20576i 0.268902 + 0.126095i
\(307\) 31.7221i 1.81048i 0.424905 + 0.905238i \(0.360308\pi\)
−0.424905 + 0.905238i \(0.639692\pi\)
\(308\) −7.39423 + 8.10046i −0.421325 + 0.461567i
\(309\) 0.128952 + 3.02806i 0.00733581 + 0.172261i
\(310\) 6.52274 + 11.2977i 0.370467 + 0.641667i
\(311\) 6.41496 + 11.1110i 0.363759 + 0.630049i 0.988576 0.150722i \(-0.0481598\pi\)
−0.624817 + 0.780771i \(0.714826\pi\)
\(312\) 6.40772 + 1.78845i 0.362765 + 0.101251i
\(313\) −16.3343 9.43059i −0.923267 0.533048i −0.0385911 0.999255i \(-0.512287\pi\)
−0.884676 + 0.466207i \(0.845620\pi\)
\(314\) −2.02667 + 3.51030i −0.114372 + 0.198098i
\(315\) −17.8550 + 7.39090i −1.00601 + 0.416430i
\(316\) −4.36386 7.55842i −0.245486 0.425194i
\(317\) −11.6351 6.71751i −0.653491 0.377293i 0.136302 0.990667i \(-0.456478\pi\)
−0.789792 + 0.613374i \(0.789812\pi\)
\(318\) −17.9804 + 0.765706i −1.00829 + 0.0429386i
\(319\) −2.26054 + 3.91537i −0.126566 + 0.219219i
\(320\) 3.55775 6.16221i 0.198884 0.344478i
\(321\) −4.55178 2.37572i −0.254056 0.132600i
\(322\) 22.5705 + 20.6027i 1.25780 + 1.14814i
\(323\) 1.79148 + 1.03431i 0.0996806 + 0.0575506i
\(324\) −12.6337 + 2.17177i −0.701871 + 0.120654i
\(325\) 1.03512 3.17945i 0.0574179 0.176364i
\(326\) 29.0178 16.7534i 1.60715 0.927886i
\(327\) 0.639323 1.22492i 0.0353546 0.0677380i
\(328\) −8.13735 4.69810i −0.449310 0.259409i
\(329\) −14.1956 12.9580i −0.782629 0.714396i
\(330\) −12.1821 19.1674i −0.670602 1.05513i
\(331\) −8.46601 −0.465334 −0.232667 0.972556i \(-0.574745\pi\)
−0.232667 + 0.972556i \(0.574745\pi\)
\(332\) 9.93240 17.2034i 0.545112 0.944161i
\(333\) 24.3869 2.08084i 1.33640 0.114029i
\(334\) 38.6461i 2.11462i
\(335\) 13.7204 23.7644i 0.749626 1.29839i
\(336\) −16.9321 14.1835i −0.923724 0.773773i
\(337\) −12.9394 −0.704852 −0.352426 0.935840i \(-0.614643\pi\)
−0.352426 + 0.935840i \(0.614643\pi\)
\(338\) −9.75900 21.9880i −0.530820 1.19599i
\(339\) −5.07083 2.64663i −0.275409 0.143745i
\(340\) 3.24526 0.175999
\(341\) 4.21376 + 7.29844i 0.228188 + 0.395233i
\(342\) −12.2267 + 1.04325i −0.661143 + 0.0564126i
\(343\) 11.1898 14.7576i 0.604195 0.796837i
\(344\) 9.96410 5.75278i 0.537228 0.310169i
\(345\) −22.2142 + 14.1185i −1.19597 + 0.760114i
\(346\) −32.2290 + 18.6074i −1.73264 + 1.00034i
\(347\) −9.28628 5.36144i −0.498514 0.287817i 0.229586 0.973288i \(-0.426263\pi\)
−0.728100 + 0.685471i \(0.759596\pi\)
\(348\) 3.39736 + 1.77319i 0.182118 + 0.0950531i
\(349\) −1.54121 0.889816i −0.0824989 0.0476307i 0.458183 0.888858i \(-0.348500\pi\)
−0.540682 + 0.841227i \(0.681834\pi\)
\(350\) −3.06103 + 3.35339i −0.163619 + 0.179246i
\(351\) −14.1998 12.2215i −0.757930 0.652335i
\(352\) 9.87910 17.1111i 0.526558 0.912025i
\(353\) −6.22299 −0.331216 −0.165608 0.986192i \(-0.552959\pi\)
−0.165608 + 0.986192i \(0.552959\pi\)
\(354\) −17.7526 + 11.2829i −0.943538 + 0.599677i
\(355\) 8.90172i 0.472454i
\(356\) 7.60041 0.402821
\(357\) 0.741156 4.22408i 0.0392262 0.223562i
\(358\) 13.7360 + 23.7915i 0.725971 + 1.25742i
\(359\) 6.64850 + 3.83852i 0.350895 + 0.202589i 0.665079 0.746773i \(-0.268398\pi\)
−0.314185 + 0.949362i \(0.601731\pi\)
\(360\) 6.38306 4.44908i 0.336417 0.234487i
\(361\) 14.1141 0.742845
\(362\) −5.23584 9.06873i −0.275189 0.476642i
\(363\) 2.34992 + 3.69739i 0.123339 + 0.194063i
\(364\) −0.100480 + 13.5869i −0.00526659 + 0.712146i
\(365\) 28.2939i 1.48097i
\(366\) −7.85694 + 15.0536i −0.410689 + 0.786862i
\(367\) 14.2580i 0.744259i −0.928181 0.372130i \(-0.878628\pi\)
0.928181 0.372130i \(-0.121372\pi\)
\(368\) −26.0546 15.0426i −1.35819 0.784152i
\(369\) 15.1311 + 21.7085i 0.787693 + 1.13010i
\(370\) 31.8318 18.3781i 1.65486 0.955432i
\(371\) 4.49431 + 14.1596i 0.233333 + 0.735128i
\(372\) 6.02891 3.83174i 0.312584 0.198667i
\(373\) 2.93762 0.152104 0.0760522 0.997104i \(-0.475768\pi\)
0.0760522 + 0.997104i \(0.475768\pi\)
\(374\) 5.04026 0.260626
\(375\) 9.21192 + 14.4941i 0.475701 + 0.748473i
\(376\) 6.70201 + 3.86941i 0.345630 + 0.199549i
\(377\) 1.16129 + 5.47916i 0.0598096 + 0.282191i
\(378\) 10.7213 + 23.0706i 0.551446 + 1.18662i
\(379\) −11.0711 + 19.1757i −0.568684 + 0.984990i 0.428012 + 0.903773i \(0.359214\pi\)
−0.996696 + 0.0812174i \(0.974119\pi\)
\(380\) −6.63815 + 3.83254i −0.340530 + 0.196605i
\(381\) 32.3204 1.37638i 1.65582 0.0705141i
\(382\) 15.9097 + 27.5564i 0.814011 + 1.40991i
\(383\) −3.32926 −0.170117 −0.0850586 0.996376i \(-0.527108\pi\)
−0.0850586 + 0.996376i \(0.527108\pi\)
\(384\) 12.5436 + 6.54693i 0.640115 + 0.334096i
\(385\) −12.6390 + 13.8462i −0.644143 + 0.705667i
\(386\) 11.7512 6.78455i 0.598120 0.345325i
\(387\) −32.2844 + 2.75470i −1.64111 + 0.140029i
\(388\) 17.8971i 0.908585i
\(389\) −9.50808 + 5.48949i −0.482079 + 0.278328i −0.721282 0.692641i \(-0.756447\pi\)
0.239204 + 0.970969i \(0.423114\pi\)
\(390\) −27.0995 7.56373i −1.37224 0.383004i
\(391\) 5.84143i 0.295414i
\(392\) −3.12552 + 6.77027i −0.157863 + 0.341950i
\(393\) −20.8252 + 0.886852i −1.05049 + 0.0447357i
\(394\) −4.27447 −0.215344
\(395\) −7.45917 12.9197i −0.375312 0.650059i
\(396\) −10.2025 + 7.11127i −0.512695 + 0.357355i
\(397\) 0.0207759i 0.00104271i 1.00000 0.000521357i \(0.000165953\pi\)
−1.00000 0.000521357i \(0.999834\pi\)
\(398\) 1.20924 0.0606140
\(399\) 3.47247 + 9.51561i 0.173841 + 0.476377i
\(400\) 2.23495 3.87105i 0.111748 0.193552i
\(401\) 24.5566 14.1778i 1.22630 0.708004i 0.260045 0.965597i \(-0.416263\pi\)
0.966254 + 0.257593i \(0.0829293\pi\)
\(402\) −32.0258 16.7153i −1.59730 0.833683i
\(403\) 9.92743 + 3.23202i 0.494520 + 0.160998i
\(404\) −3.58371 + 6.20717i −0.178296 + 0.308818i
\(405\) −21.5948 + 3.71222i −1.07306 + 0.184462i
\(406\) 1.63189 7.42824i 0.0809893 0.368658i
\(407\) 20.5637 11.8724i 1.01930 0.588495i
\(408\) 0.0734677 + 1.72518i 0.00363720 + 0.0854091i
\(409\) 18.0833 + 10.4404i 0.894162 + 0.516245i 0.875302 0.483577i \(-0.160663\pi\)
0.0188606 + 0.999822i \(0.493996\pi\)
\(410\) 34.4145 + 19.8692i 1.69961 + 0.981272i
\(411\) −0.766779 18.0056i −0.0378224 0.888152i
\(412\) 2.15844 1.24617i 0.106339 0.0613946i
\(413\) 12.8241 + 11.7060i 0.631033 + 0.576016i
\(414\) 19.8143 + 28.4274i 0.973819 + 1.39713i
\(415\) 16.9775 29.4060i 0.833394 1.44348i
\(416\) −5.07512 23.9452i −0.248828 1.17401i
\(417\) 12.8969 + 6.73131i 0.631564 + 0.329634i
\(418\) −10.3098 + 5.95238i −0.504270 + 0.291141i
\(419\) −15.6621 + 27.1276i −0.765144 + 1.32527i 0.175026 + 0.984564i \(0.443999\pi\)
−0.940170 + 0.340705i \(0.889334\pi\)
\(420\) 12.1818 + 10.2043i 0.594412 + 0.497919i
\(421\) −11.0561 −0.538842 −0.269421 0.963022i \(-0.586832\pi\)
−0.269421 + 0.963022i \(0.586832\pi\)
\(422\) 46.3365i 2.25562i
\(423\) −12.4621 17.8793i −0.605929 0.869322i
\(424\) −2.99071 5.18007i −0.145242 0.251566i
\(425\) 0.867886 0.0420987
\(426\) 11.7084 0.498609i 0.567274 0.0241577i
\(427\) 13.6905 + 3.00762i 0.662529 + 0.145549i
\(428\) 4.22227i 0.204091i
\(429\) −17.5066 4.88624i −0.845225 0.235910i
\(430\) −42.1402 + 24.3297i −2.03218 + 1.17328i
\(431\) 8.78203i 0.423016i 0.977376 + 0.211508i \(0.0678374\pi\)
−0.977376 + 0.211508i \(0.932163\pi\)
\(432\) −15.1825 19.9187i −0.730467 0.958337i
\(433\) 35.7967 20.6673i 1.72028 0.993205i 0.801953 0.597388i \(-0.203795\pi\)
0.918329 0.395817i \(-0.129539\pi\)
\(434\) −10.4705 9.55767i −0.502602 0.458783i
\(435\) 5.80714 + 3.03093i 0.278431 + 0.145322i
\(436\) −1.13624 −0.0544161
\(437\) 6.89853 + 11.9486i 0.330002 + 0.571580i
\(438\) −37.2149 + 1.58482i −1.77820 + 0.0757256i
\(439\) 4.92103 2.84116i 0.234868 0.135601i −0.377948 0.925827i \(-0.623370\pi\)
0.612816 + 0.790226i \(0.290037\pi\)
\(440\) 3.77416 6.53704i 0.179926 0.311641i
\(441\) 16.0642 13.5256i 0.764962 0.644075i
\(442\) 4.64267 4.17538i 0.220829 0.198602i
\(443\) −4.11449 2.37550i −0.195485 0.112863i 0.399063 0.916924i \(-0.369336\pi\)
−0.594548 + 0.804060i \(0.702669\pi\)
\(444\) −10.7961 16.9867i −0.512360 0.806153i
\(445\) 12.9914 0.615853
\(446\) 6.51795 0.308634
\(447\) 26.8737 17.0799i 1.27108 0.807851i
\(448\) −1.65918 + 7.55246i −0.0783888 + 0.356820i
\(449\) −32.9977 + 19.0512i −1.55726 + 0.899084i −0.559741 + 0.828668i \(0.689099\pi\)
−0.997518 + 0.0704157i \(0.977567\pi\)
\(450\) −4.22358 + 2.94389i −0.199102 + 0.138776i
\(451\) 22.2321 + 12.8357i 1.04687 + 0.604411i
\(452\) 4.70374i 0.221245i
\(453\) 18.4269 35.3052i 0.865772 1.65878i
\(454\) 16.7509i 0.786158i
\(455\) −0.171751 + 23.2242i −0.00805183 + 1.08877i
\(456\) −2.18766 3.44208i −0.102447 0.161190i
\(457\) −1.13570 1.96709i −0.0531257 0.0920164i 0.838240 0.545302i \(-0.183585\pi\)
−0.891365 + 0.453286i \(0.850252\pi\)
\(458\) 15.3526 0.717382
\(459\) 1.87538 4.48665i 0.0875352 0.209419i
\(460\) 18.7450 + 10.8224i 0.873990 + 0.504598i
\(461\) −18.0260 31.2220i −0.839557 1.45415i −0.890266 0.455441i \(-0.849482\pi\)
0.0507092 0.998713i \(-0.483852\pi\)
\(462\) 18.9198 + 15.8485i 0.880228 + 0.737338i
\(463\) 16.4298 0.763555 0.381778 0.924254i \(-0.375312\pi\)
0.381778 + 0.924254i \(0.375312\pi\)
\(464\) 7.48732i 0.347590i
\(465\) 10.3053 6.54963i 0.477895 0.303732i
\(466\) −26.9600 −1.24890
\(467\) 1.05567 1.82847i 0.0488504 0.0846115i −0.840566 0.541709i \(-0.817778\pi\)
0.889417 + 0.457097i \(0.151111\pi\)
\(468\) −3.50667 + 15.0021i −0.162096 + 0.693473i
\(469\) −6.39858 + 29.1259i −0.295459 + 1.34491i
\(470\) −28.3442 16.3645i −1.30742 0.754839i
\(471\) 3.36335 + 1.75544i 0.154975 + 0.0808865i
\(472\) −6.05449 3.49556i −0.278681 0.160896i
\(473\) −27.2230 + 15.7172i −1.25172 + 0.722678i
\(474\) −16.5754 + 10.5347i −0.761333 + 0.483874i
\(475\) −1.77526 + 1.02495i −0.0814544 + 0.0470277i
\(476\) −3.36142 + 1.06693i −0.154071 + 0.0489027i
\(477\) 1.43209 + 16.7838i 0.0655710 + 0.768478i
\(478\) 5.39423 + 9.34309i 0.246726 + 0.427343i
\(479\) 38.8944 1.77713 0.888566 0.458749i \(-0.151702\pi\)
0.888566 + 0.458749i \(0.151702\pi\)
\(480\) −25.3785 13.2459i −1.15837 0.604589i
\(481\) 9.10634 27.9709i 0.415213 1.27536i
\(482\) 37.6555 1.71516
\(483\) 18.3677 21.9272i 0.835757 0.997720i
\(484\) 1.80132 3.11997i 0.0818780 0.141817i
\(485\) 30.5916i 1.38909i
\(486\) 6.09226 + 28.1957i 0.276350 + 1.27898i
\(487\) −7.67649 + 13.2961i −0.347855 + 0.602502i −0.985868 0.167523i \(-0.946423\pi\)
0.638013 + 0.770025i \(0.279756\pi\)
\(488\) −5.64372 −0.255479
\(489\) −16.8225 26.4687i −0.760739 1.19695i
\(490\) 13.2185 28.6328i 0.597150 1.29350i
\(491\) −16.2138 9.36104i −0.731719 0.422458i 0.0873319 0.996179i \(-0.472166\pi\)
−0.819051 + 0.573721i \(0.805499\pi\)
\(492\) 10.0685 19.2908i 0.453922 0.869695i
\(493\) −1.25899 + 0.726877i −0.0567020 + 0.0327369i
\(494\) −4.56557 + 14.0236i −0.205415 + 0.630949i
\(495\) −17.4392 + 12.1554i −0.783834 + 0.546343i
\(496\) 12.0869 + 6.97835i 0.542716 + 0.313337i
\(497\) −2.92659 9.22037i −0.131275 0.413590i
\(498\) −39.6285 20.6834i −1.77580 0.926845i
\(499\) −9.29409 + 16.0978i −0.416060 + 0.720638i −0.995539 0.0943496i \(-0.969923\pi\)
0.579479 + 0.814987i \(0.303256\pi\)
\(500\) 7.06133 12.2306i 0.315792 0.546968i
\(501\) −36.1398 + 1.53903i −1.61461 + 0.0687589i
\(502\) −14.6692 8.46928i −0.654720 0.378003i
\(503\) −16.2299 28.1110i −0.723655 1.25341i −0.959525 0.281623i \(-0.909127\pi\)
0.235870 0.971785i \(-0.424206\pi\)
\(504\) −5.14884 + 6.70687i −0.229348 + 0.298748i
\(505\) −6.12567 + 10.6100i −0.272589 + 0.472137i
\(506\) 29.1132 + 16.8085i 1.29424 + 0.747228i
\(507\) −20.1734 + 10.0017i −0.895931 + 0.444193i
\(508\) −13.3012 23.0383i −0.590144 1.02216i
\(509\) −8.56177 14.8294i −0.379494 0.657302i 0.611495 0.791248i \(-0.290568\pi\)
−0.990989 + 0.133946i \(0.957235\pi\)
\(510\) −0.310710 7.29614i −0.0137585 0.323078i
\(511\) 9.30210 + 29.3067i 0.411501 + 1.29645i
\(512\) 22.4522i 0.992257i
\(513\) 1.46250 + 11.3922i 0.0645711 + 0.502977i
\(514\) −5.71461 3.29933i −0.252061 0.145527i
\(515\) 3.68943 2.13010i 0.162576 0.0938632i
\(516\) 14.2923 + 22.4877i 0.629184 + 0.989965i
\(517\) −18.3106 10.5716i −0.805300 0.464940i
\(518\) −26.9291 + 29.5012i −1.18320 + 1.29621i
\(519\) 18.6842 + 29.3978i 0.820143 + 1.29042i
\(520\) −1.93887 9.14790i −0.0850252 0.401162i
\(521\) −9.49805 16.4511i −0.416117 0.720736i 0.579428 0.815024i \(-0.303276\pi\)
−0.995545 + 0.0942874i \(0.969943\pi\)
\(522\) 3.66130 7.80788i 0.160251 0.341742i
\(523\) 5.45085 3.14705i 0.238349 0.137611i −0.376069 0.926592i \(-0.622724\pi\)
0.614418 + 0.788981i \(0.289391\pi\)
\(524\) 8.57043 + 14.8444i 0.374401 + 0.648481i
\(525\) 3.25781 + 2.72896i 0.142183 + 0.119102i
\(526\) −15.4236 26.7145i −0.672502 1.16481i
\(527\) 2.70987i 0.118044i
\(528\) −21.5401 11.2424i −0.937411 0.489265i
\(529\) 7.98026 13.8222i 0.346968 0.600966i
\(530\) 12.6483 + 21.9076i 0.549409 + 0.951604i
\(531\) 11.2581 + 16.1519i 0.488559 + 0.700933i
\(532\) 5.61576 6.15213i 0.243474 0.266729i
\(533\) 31.1116 6.59401i 1.34759 0.285618i
\(534\) −0.727685 17.0876i −0.0314900 0.739453i
\(535\) 7.21716i 0.312025i
\(536\) 12.0068i 0.518613i
\(537\) 21.7015 13.7926i 0.936487 0.595196i
\(538\) 19.5321i 0.842090i
\(539\) 8.53927 18.4971i 0.367812 0.796727i
\(540\) 10.9230 + 14.3305i 0.470052 + 0.616685i
\(541\) −2.28067 + 3.95024i −0.0980538 + 0.169834i −0.910879 0.412673i \(-0.864595\pi\)
0.812825 + 0.582508i \(0.197928\pi\)
\(542\) 0.212373 0.367841i 0.00912222 0.0158001i
\(543\) −8.27208 + 5.25742i −0.354989 + 0.225617i
\(544\) 5.50207 3.17662i 0.235899 0.136197i
\(545\) −1.94219 −0.0831941
\(546\) 30.5563 1.07494i 1.30769 0.0460033i
\(547\) −4.59770 −0.196584 −0.0982918 0.995158i \(-0.531338\pi\)
−0.0982918 + 0.995158i \(0.531338\pi\)
\(548\) −12.8346 + 7.41006i −0.548267 + 0.316542i
\(549\) 14.3902 + 6.74789i 0.614157 + 0.287993i
\(550\) −2.49731 + 4.32547i −0.106486 + 0.184439i
\(551\) 1.71684 2.97365i 0.0731397 0.126682i
\(552\) −5.32885 + 10.2099i −0.226811 + 0.434560i
\(553\) 11.9737 + 10.9298i 0.509175 + 0.464783i
\(554\) 7.58243i 0.322146i
\(555\) −18.4539 29.0355i −0.783323 1.23249i
\(556\) 11.9633i 0.507356i
\(557\) 12.6799i 0.537265i −0.963243 0.268633i \(-0.913428\pi\)
0.963243 0.268633i \(-0.0865718\pi\)
\(558\) −9.19193 13.1876i −0.389126 0.558276i
\(559\) −12.0553 + 37.0291i −0.509887 + 1.56616i
\(560\) −6.66180 + 30.3240i −0.281512 + 1.28142i
\(561\) −0.200722 4.71338i −0.00847448 0.198999i
\(562\) −23.7315 41.1041i −1.00105 1.73387i
\(563\) −13.7212 + 23.7659i −0.578281 + 1.00161i 0.417396 + 0.908725i \(0.362943\pi\)
−0.995677 + 0.0928873i \(0.970390\pi\)
\(564\) −8.29250 + 15.8881i −0.349177 + 0.669009i
\(565\) 8.04014i 0.338251i
\(566\) −25.6219 44.3785i −1.07697 1.86537i
\(567\) 21.1474 10.9448i 0.888107 0.459637i
\(568\) 1.94748 + 3.37314i 0.0817145 + 0.141534i
\(569\) 0.728120 0.420380i 0.0305244 0.0176233i −0.484660 0.874703i \(-0.661057\pi\)
0.515185 + 0.857079i \(0.327723\pi\)
\(570\) 9.25205 + 14.5573i 0.387526 + 0.609737i
\(571\) −8.35656 14.4740i −0.349711 0.605717i 0.636487 0.771287i \(-0.280387\pi\)
−0.986198 + 0.165570i \(0.947054\pi\)
\(572\) 3.09904 + 14.6217i 0.129577 + 0.611366i
\(573\) 25.1357 15.9753i 1.05006 0.667377i
\(574\) −42.1788 9.26613i −1.76051 0.386761i
\(575\) 5.01302 + 2.89427i 0.209057 + 0.120699i
\(576\) −3.72253 + 7.93845i −0.155105 + 0.330769i
\(577\) 13.5983 7.85098i 0.566104 0.326840i −0.189488 0.981883i \(-0.560683\pi\)
0.755592 + 0.655043i \(0.227349\pi\)
\(578\) −25.8402 14.9189i −1.07481 0.620543i
\(579\) −6.81252 10.7189i −0.283119 0.445462i
\(580\) 5.38675i 0.223672i
\(581\) −7.91757 + 36.0402i −0.328476 + 1.49520i
\(582\) 40.2370 1.71352i 1.66788 0.0710275i
\(583\) 8.17095 + 14.1525i 0.338406 + 0.586137i
\(584\) −6.19003 10.7214i −0.256145 0.443657i
\(585\) −5.99399 + 25.6432i −0.247821 + 1.06022i
\(586\) −3.88079 2.24058i −0.160314 0.0925573i
\(587\) −14.8711 + 25.7575i −0.613796 + 1.06313i 0.376798 + 0.926295i \(0.377025\pi\)
−0.990594 + 0.136831i \(0.956308\pi\)
\(588\) −15.9727 6.56461i −0.658704 0.270720i
\(589\) −3.20026 5.54302i −0.131864 0.228396i
\(590\) 25.6057 + 14.7834i 1.05417 + 0.608625i
\(591\) 0.170225 + 3.99725i 0.00700212 + 0.164425i
\(592\) 19.6618 34.0552i 0.808095 1.39966i
\(593\) −1.91756 + 3.32131i −0.0787448 + 0.136390i −0.902709 0.430252i \(-0.858425\pi\)
0.823964 + 0.566642i \(0.191758\pi\)
\(594\) 16.9647 + 22.2569i 0.696071 + 0.913211i
\(595\) −5.74571 + 1.82371i −0.235551 + 0.0747650i
\(596\) −22.6768 13.0925i −0.928879 0.536288i
\(597\) −0.0481566 1.13082i −0.00197092 0.0462814i
\(598\) 40.7408 8.63491i 1.66602 0.353108i
\(599\) 37.1089 21.4249i 1.51623 0.875396i 0.516411 0.856341i \(-0.327268\pi\)
0.999818 0.0190552i \(-0.00606582\pi\)
\(600\) −1.51692 0.791730i −0.0619281 0.0323222i
\(601\) 15.3980 + 8.89003i 0.628097 + 0.362632i 0.780015 0.625761i \(-0.215212\pi\)
−0.151918 + 0.988393i \(0.548545\pi\)
\(602\) 35.6499 39.0549i 1.45298 1.59176i
\(603\) −14.3558 + 30.6145i −0.584615 + 1.24672i
\(604\) −32.7494 −1.33255
\(605\) 3.07900 5.33299i 0.125179 0.216817i
\(606\) 14.2984 + 7.46278i 0.580831 + 0.303155i
\(607\) 4.28173i 0.173790i −0.996217 0.0868950i \(-0.972306\pi\)
0.996217 0.0868950i \(-0.0276944\pi\)
\(608\) −7.50297 + 12.9955i −0.304286 + 0.527038i
\(609\) −7.01148 1.23023i −0.284119 0.0498516i
\(610\) 23.8684 0.966405
\(611\) −25.6238 + 5.43090i −1.03663 + 0.219711i
\(612\) −3.98441 + 0.339973i −0.161060 + 0.0137426i
\(613\) −7.16125 −0.289240 −0.144620 0.989487i \(-0.546196\pi\)
−0.144620 + 0.989487i \(0.546196\pi\)
\(614\) −29.3508 50.8371i −1.18450 2.05162i
\(615\) 17.2101 32.9739i 0.693979 1.32963i
\(616\) −1.76010 + 8.01185i −0.0709164 + 0.322807i
\(617\) −4.73329 + 2.73277i −0.190555 + 0.110017i −0.592242 0.805760i \(-0.701757\pi\)
0.401687 + 0.915777i \(0.368424\pi\)
\(618\) −3.00836 4.73339i −0.121014 0.190405i
\(619\) 4.25493 2.45658i 0.171020 0.0987384i −0.412047 0.911163i \(-0.635186\pi\)
0.583067 + 0.812424i \(0.301853\pi\)
\(620\) −8.69589 5.02057i −0.349235 0.201631i
\(621\) 25.7947 19.6613i 1.03511 0.788982i
\(622\) −20.5609 11.8709i −0.824418 0.475978i
\(623\) −13.4565 + 4.27115i −0.539122 + 0.171120i
\(624\) −29.1542 + 7.48829i −1.16710 + 0.299772i
\(625\) 14.3884 24.9215i 0.575537 0.996860i
\(626\) 34.9025 1.39498
\(627\) 5.97692 + 9.40415i 0.238695 + 0.375565i
\(628\) 3.11987i 0.124496i
\(629\) 7.63516 0.304434
\(630\) 21.7755 28.3647i 0.867556 1.13008i
\(631\) −4.12942 7.15236i −0.164390 0.284731i 0.772049 0.635563i \(-0.219232\pi\)
−0.936438 + 0.350832i \(0.885899\pi\)
\(632\) −5.65302 3.26377i −0.224865 0.129826i
\(633\) 43.3314 1.84529i 1.72227 0.0733437i
\(634\) 24.8614 0.987374
\(635\) −22.7358 39.3796i −0.902242 1.56273i
\(636\) 11.6907 7.43019i 0.463568 0.294626i
\(637\) −7.45743 24.1120i −0.295474 0.955351i
\(638\) 8.36624i 0.331223i
\(639\) −0.932544 10.9292i −0.0368909 0.432353i
\(640\) 19.8888i 0.786173i
\(641\) 16.3758 + 9.45459i 0.646806 + 0.373434i 0.787232 0.616657i \(-0.211514\pi\)
−0.140425 + 0.990091i \(0.544847\pi\)
\(642\) 9.49270 0.404252i 0.374647 0.0159546i
\(643\) 9.95617 5.74820i 0.392633 0.226687i −0.290667 0.956824i \(-0.593877\pi\)
0.683300 + 0.730137i \(0.260544\pi\)
\(644\) −22.9740 5.04710i −0.905304 0.198884i
\(645\) 24.4300 + 38.4384i 0.961929 + 1.51351i
\(646\) −3.82797 −0.150610
\(647\) −31.0697 −1.22147 −0.610737 0.791833i \(-0.709127\pi\)
−0.610737 + 0.791833i \(0.709127\pi\)
\(648\) −7.37080 + 6.13110i −0.289553 + 0.240852i
\(649\) 16.5415 + 9.55026i 0.649312 + 0.374880i
\(650\) 1.28293 + 6.05304i 0.0503205 + 0.237420i
\(651\) −8.52084 + 10.1721i −0.333958 + 0.398676i
\(652\) −12.8952 + 22.3351i −0.505013 + 0.874708i
\(653\) −1.83173 + 1.05755i −0.0716811 + 0.0413851i −0.535412 0.844591i \(-0.679844\pi\)
0.463731 + 0.885976i \(0.346510\pi\)
\(654\) 0.108787 + 2.55455i 0.00425391 + 0.0998909i
\(655\) 14.6495 + 25.3737i 0.572403 + 0.991432i
\(656\) 42.5142 1.65990
\(657\) 2.96407 + 34.7383i 0.115639 + 1.35527i
\(658\) 34.7389 + 7.63168i 1.35426 + 0.297514i
\(659\) 36.1228 20.8555i 1.40714 0.812415i 0.412033 0.911169i \(-0.364819\pi\)
0.995112 + 0.0987537i \(0.0314856\pi\)
\(660\) 15.4970 + 8.08837i 0.603219 + 0.314840i
\(661\) 18.5259i 0.720575i −0.932841 0.360287i \(-0.882679\pi\)
0.932841 0.360287i \(-0.117321\pi\)
\(662\) 13.5674 7.83315i 0.527313 0.304444i
\(663\) −4.08947 4.17529i −0.158822 0.162155i
\(664\) 14.8571i 0.576567i
\(665\) 9.59907 10.5159i 0.372236 0.407789i
\(666\) −37.1566 + 25.8987i −1.43979 + 1.00355i
\(667\) −9.69609 −0.375434
\(668\) 14.8730 + 25.7608i 0.575454 + 0.996716i
\(669\) −0.259569 6.09523i −0.0100355 0.235655i
\(670\) 50.7791i 1.96177i
\(671\) 15.4192 0.595253
\(672\) 30.6418 + 5.37641i 1.18203 + 0.207399i
\(673\) −14.3227 + 24.8076i −0.552099 + 0.956264i 0.446024 + 0.895021i \(0.352840\pi\)
−0.998123 + 0.0612425i \(0.980494\pi\)
\(674\) 20.7363 11.9721i 0.798733 0.461149i
\(675\) 2.92117 + 3.83243i 0.112436 + 0.147510i
\(676\) 14.9673 + 10.9011i 0.575666 + 0.419272i
\(677\) −14.9891 + 25.9619i −0.576079 + 0.997798i 0.419845 + 0.907596i \(0.362085\pi\)
−0.995924 + 0.0902018i \(0.971249\pi\)
\(678\) 10.5752 0.450349i 0.406137 0.0172956i
\(679\) −10.0575 31.6866i −0.385971 1.21602i
\(680\) 2.10198 1.21358i 0.0806073 0.0465387i
\(681\) 15.6645 0.667083i 0.600266 0.0255627i
\(682\) −13.5057 7.79753i −0.517161 0.298583i
\(683\) −21.9542 12.6753i −0.840054 0.485006i 0.0172283 0.999852i \(-0.494516\pi\)
−0.857283 + 0.514846i \(0.827849\pi\)
\(684\) 7.74859 5.40087i 0.296275 0.206507i
\(685\) −21.9383 + 12.6661i −0.838219 + 0.483946i
\(686\) −4.27812 + 34.0036i −0.163340 + 1.29826i
\(687\) −0.611399 14.3570i −0.0233263 0.547752i
\(688\) −26.0291 + 45.0837i −0.992350 + 1.71880i
\(689\) 19.2504 + 6.26725i 0.733382 + 0.238763i
\(690\) 22.5368 43.1795i 0.857961 1.64382i
\(691\) −26.5987 + 15.3568i −1.01186 + 0.584199i −0.911736 0.410776i \(-0.865258\pi\)
−0.100126 + 0.994975i \(0.531924\pi\)
\(692\) 14.3222 24.8068i 0.544448 0.943012i
\(693\) 14.0672 18.3239i 0.534368 0.696067i
\(694\) 19.8426 0.753215
\(695\) 20.4489i 0.775671i
\(696\) 2.86360 0.121948i 0.108544 0.00462242i
\(697\) 4.12733 + 7.14874i 0.156334 + 0.270778i
\(698\) 3.29320 0.124649
\(699\) 1.07365 + 25.2115i 0.0406090 + 0.953587i
\(700\) 0.749869 3.41335i 0.0283424 0.129013i
\(701\) 18.0322i 0.681067i −0.940232 0.340534i \(-0.889392\pi\)
0.940232 0.340534i \(-0.110608\pi\)
\(702\) 34.0642 + 6.44753i 1.28567 + 0.243346i
\(703\) −15.6177 + 9.01687i −0.589032 + 0.340078i
\(704\) 8.50615i 0.320587i
\(705\) −14.1744 + 27.1576i −0.533840 + 1.02281i
\(706\) 9.97281 5.75780i 0.375332 0.216698i
\(707\) 2.85674 13.0037i 0.107439 0.489053i
\(708\) 7.49132 14.3530i 0.281541 0.539421i
\(709\) 16.3584 0.614353 0.307176 0.951653i \(-0.400616\pi\)
0.307176 + 0.951653i \(0.400616\pi\)
\(710\) −8.23629 14.2657i −0.309103 0.535381i
\(711\) 10.5116 + 15.0809i 0.394214 + 0.565577i
\(712\) 4.92286 2.84221i 0.184492 0.106516i
\(713\) −9.03698 + 15.6525i −0.338438 + 0.586191i
\(714\) 2.72056 + 7.45516i 0.101814 + 0.279002i
\(715\) 5.29721 + 24.9931i 0.198104 + 0.934688i
\(716\) −18.3124 10.5726i −0.684365 0.395118i
\(717\) 8.52233 5.41647i 0.318272 0.202282i
\(718\) −14.2063 −0.530175
\(719\) −13.3584 −0.498183 −0.249091 0.968480i \(-0.580132\pi\)
−0.249091 + 0.968480i \(0.580132\pi\)
\(720\) −14.9464 + 31.8738i −0.557019 + 1.18787i
\(721\) −3.12120 + 3.41931i −0.116239 + 0.127342i
\(722\) −22.6188 + 13.0590i −0.841786 + 0.486005i
\(723\) −1.49958 35.2133i −0.0557700 1.30960i
\(724\) 6.98023 + 4.03004i 0.259418 + 0.149775i
\(725\) 1.44059i 0.0535022i
\(726\) −7.18693 3.75109i −0.266732 0.139216i
\(727\) 14.3254i 0.531298i 0.964070 + 0.265649i \(0.0855863\pi\)
−0.964070 + 0.265649i \(0.914414\pi\)
\(728\) 5.01580 + 8.83793i 0.185898 + 0.327555i
\(729\) 26.1245 6.82001i 0.967573 0.252593i
\(730\) 26.1789 + 45.3432i 0.968924 + 1.67823i
\(731\) −10.1077 −0.373848
\(732\) −0.556090 13.0582i −0.0205537 0.482645i
\(733\) −23.6903 13.6776i −0.875022 0.505194i −0.00600831 0.999982i \(-0.501913\pi\)
−0.869014 + 0.494788i \(0.835246\pi\)
\(734\) 13.1921 + 22.8495i 0.486931 + 0.843389i
\(735\) −27.3023 11.2209i −1.00706 0.413891i
\(736\) 42.3742 1.56193
\(737\) 32.8038i 1.20834i
\(738\) −44.3344 20.7895i −1.63197 0.765271i
\(739\) −45.0578 −1.65748 −0.828739 0.559636i \(-0.810941\pi\)
−0.828739 + 0.559636i \(0.810941\pi\)
\(740\) −14.1457 + 24.5010i −0.520005 + 0.900676i
\(741\) 13.2959 + 3.71100i 0.488436 + 0.136327i
\(742\) −20.3036 18.5334i −0.745368 0.680383i
\(743\) 17.5753 + 10.1471i 0.644775 + 0.372261i 0.786452 0.617652i \(-0.211916\pi\)
−0.141676 + 0.989913i \(0.545249\pi\)
\(744\) 2.47208 4.73640i 0.0906308 0.173645i
\(745\) −38.7617 22.3791i −1.42012 0.819905i
\(746\) −4.70777 + 2.71803i −0.172364 + 0.0995141i
\(747\) −17.7638 + 37.8821i −0.649945 + 1.38603i
\(748\) −3.35975 + 1.93975i −0.122845 + 0.0709243i
\(749\) −2.37276 7.47550i −0.0866988 0.273149i
\(750\) −28.1734 14.7046i −1.02875 0.536937i
\(751\) −12.4936 21.6395i −0.455897 0.789637i 0.542842 0.839835i \(-0.317348\pi\)
−0.998739 + 0.0501980i \(0.984015\pi\)
\(752\) −35.0151 −1.27687
\(753\) −7.33583 + 14.0551i −0.267333 + 0.512198i
\(754\) −6.93064 7.70629i −0.252399 0.280646i
\(755\) −55.9787 −2.03728
\(756\) −16.0254 11.2523i −0.582838 0.409243i
\(757\) −19.3012 + 33.4307i −0.701515 + 1.21506i 0.266419 + 0.963857i \(0.414159\pi\)
−0.967934 + 0.251203i \(0.919174\pi\)
\(758\) 40.9740i 1.48824i
\(759\) 14.5590 27.8944i 0.528458 1.01250i
\(760\) −2.86640 + 4.96474i −0.103975 + 0.180090i
\(761\) 54.9005 1.99014 0.995071 0.0991646i \(-0.0316170\pi\)
0.995071 + 0.0991646i \(0.0316170\pi\)
\(762\) −50.5223 + 32.1101i −1.83023 + 1.16323i
\(763\) 2.01171 0.638526i 0.0728288 0.0231162i
\(764\) −21.2102 12.2457i −0.767360 0.443035i
\(765\) −6.81058 + 0.581118i −0.246237 + 0.0210104i
\(766\) 5.33539 3.08039i 0.192776 0.111299i
\(767\) 23.1482 4.90619i 0.835832 0.177152i
\(768\) −36.2748 + 1.54478i −1.30895 + 0.0557425i
\(769\) −8.64544 4.99145i −0.311763 0.179996i 0.335952 0.941879i \(-0.390942\pi\)
−0.647715 + 0.761883i \(0.724275\pi\)
\(770\) 7.44382