Properties

Label 234.2.z.a.41.12
Level $234$
Weight $2$
Character 234.41
Analytic conductor $1.868$
Analytic rank $0$
Dimension $56$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [234,2,Mod(41,234)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(234, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([10, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("234.41");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 234 = 2 \cdot 3^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 234.z (of order \(12\), degree \(4\), 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: \(1.86849940730\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 41.12
Character \(\chi\) \(=\) 234.41
Dual form 234.2.z.a.137.12

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.965926 - 0.258819i) q^{2} +(0.161445 + 1.72451i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-2.21510 + 0.593533i) q^{5} +(0.602280 + 1.62396i) q^{6} +(2.94637 + 2.94637i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-2.94787 + 0.556826i) q^{9} +O(q^{10})\) \(q+(0.965926 - 0.258819i) q^{2} +(0.161445 + 1.72451i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-2.21510 + 0.593533i) q^{5} +(0.602280 + 1.62396i) q^{6} +(2.94637 + 2.94637i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-2.94787 + 0.556826i) q^{9} +(-1.98600 + 1.14662i) q^{10} +(-0.431075 - 1.60879i) q^{11} +(1.00207 + 1.41275i) q^{12} +(1.58511 + 3.23843i) q^{13} +(3.60855 + 2.08340i) q^{14} +(-1.38117 - 3.72413i) q^{15} +(0.500000 - 0.866025i) q^{16} +(1.96958 - 3.41141i) q^{17} +(-2.70331 + 1.30082i) q^{18} +(-0.878484 - 3.27855i) q^{19} +(-1.62156 + 1.62156i) q^{20} +(-4.60536 + 5.55671i) q^{21} +(-0.832773 - 1.44241i) q^{22} +5.07211 q^{23} +(1.33357 + 1.10525i) q^{24} +(0.224246 - 0.129469i) q^{25} +(2.36927 + 2.71782i) q^{26} +(-1.43617 - 4.99374i) q^{27} +(4.02481 + 1.07844i) q^{28} +(-4.53523 - 2.61842i) q^{29} +(-2.29799 - 3.23976i) q^{30} +(-0.610507 - 2.27844i) q^{31} +(0.258819 - 0.965926i) q^{32} +(2.70479 - 1.00312i) q^{33} +(1.01953 - 3.80493i) q^{34} +(-8.27525 - 4.77772i) q^{35} +(-2.27452 + 1.95616i) q^{36} +(1.21985 - 4.55256i) q^{37} +(-1.69710 - 2.93946i) q^{38} +(-5.32879 + 3.25637i) q^{39} +(-1.14662 + 1.98600i) q^{40} +(2.88882 + 2.88882i) q^{41} +(-3.01026 + 6.55933i) q^{42} -4.92213i q^{43} +(-1.17772 - 1.17772i) q^{44} +(6.19933 - 2.98308i) q^{45} +(4.89928 - 1.31276i) q^{46} +(4.39173 + 1.17676i) q^{47} +(1.57419 + 0.722440i) q^{48} +10.3621i q^{49} +(0.183096 - 0.183096i) q^{50} +(6.20099 + 2.84580i) q^{51} +(2.99196 + 2.01200i) q^{52} -6.69581i q^{53} +(-2.67971 - 4.45187i) q^{54} +(1.90975 + 3.30778i) q^{55} +4.16679 q^{56} +(5.51206 - 2.04426i) q^{57} +(-5.05840 - 1.35539i) q^{58} +(-8.36478 - 2.24134i) q^{59} +(-3.05820 - 2.53461i) q^{60} +11.6225 q^{61} +(-1.17941 - 2.04279i) q^{62} +(-10.3261 - 7.04489i) q^{63} -1.00000i q^{64} +(-5.43330 - 6.23261i) q^{65} +(2.35300 - 1.66899i) q^{66} +(-9.81803 + 9.81803i) q^{67} -3.93916i q^{68} +(0.818866 + 8.74691i) q^{69} +(-9.22985 - 2.47313i) q^{70} +(-13.5600 + 3.63339i) q^{71} +(-1.69072 + 2.47820i) q^{72} +(6.61207 + 6.61207i) q^{73} -4.71315i q^{74} +(0.259473 + 0.365813i) q^{75} +(-2.40006 - 2.40006i) q^{76} +(3.46999 - 6.01020i) q^{77} +(-4.30441 + 4.52461i) q^{78} +(-8.13274 - 14.0863i) q^{79} +(-0.593533 + 2.21510i) q^{80} +(8.37989 - 3.28290i) q^{81} +(3.53806 + 2.04270i) q^{82} +(-2.02549 + 7.55922i) q^{83} +(-1.21000 + 7.11494i) q^{84} +(-2.33802 + 8.72561i) q^{85} +(-1.27394 - 4.75442i) q^{86} +(3.78330 - 8.24379i) q^{87} +(-1.44241 - 0.832773i) q^{88} +(8.95926 + 2.40063i) q^{89} +(5.21601 - 4.48594i) q^{90} +(-4.87127 + 14.2119i) q^{91} +(4.39258 - 2.53606i) q^{92} +(3.83063 - 1.42067i) q^{93} +4.54666 q^{94} +(3.89185 + 6.74089i) q^{95} +(1.70753 + 0.290392i) q^{96} +(-6.05440 + 6.05440i) q^{97} +(2.68192 + 10.0091i) q^{98} +(2.16657 + 4.50249i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q - 8 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 56 q - 8 q^{7} - 24 q^{11} + 28 q^{16} - 8 q^{19} - 24 q^{21} + 36 q^{27} - 4 q^{28} - 24 q^{30} - 4 q^{31} + 60 q^{33} - 24 q^{35} - 4 q^{37} + 36 q^{38} - 48 q^{41} - 36 q^{42} - 84 q^{45} - 36 q^{47} - 24 q^{50} + 8 q^{52} - 36 q^{54} + 36 q^{57} + 24 q^{60} - 48 q^{63} - 36 q^{65} + 28 q^{67} + 84 q^{69} - 24 q^{71} - 24 q^{72} + 28 q^{73} + 4 q^{76} + 24 q^{77} - 60 q^{78} - 24 q^{79} + 24 q^{81} - 96 q^{83} - 72 q^{85} + 4 q^{91} - 24 q^{92} - 36 q^{93} - 52 q^{97} + 48 q^{98} + 60 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/234\mathbb{Z}\right)^\times\).

\(n\) \(145\) \(209\)
\(\chi(n)\) \(e\left(\frac{1}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 0.258819i 0.683013 0.183013i
\(3\) 0.161445 + 1.72451i 0.0932102 + 0.995646i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) −2.21510 + 0.593533i −0.990622 + 0.265436i −0.717512 0.696547i \(-0.754719\pi\)
−0.273110 + 0.961983i \(0.588052\pi\)
\(6\) 0.602280 + 1.62396i 0.245880 + 0.662981i
\(7\) 2.94637 + 2.94637i 1.11362 + 1.11362i 0.992657 + 0.120965i \(0.0385989\pi\)
0.120965 + 0.992657i \(0.461401\pi\)
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −2.94787 + 0.556826i −0.982624 + 0.185609i
\(10\) −1.98600 + 1.14662i −0.628029 + 0.362593i
\(11\) −0.431075 1.60879i −0.129974 0.485070i 0.869994 0.493062i \(-0.164123\pi\)
−0.999968 + 0.00799251i \(0.997456\pi\)
\(12\) 1.00207 + 1.41275i 0.289273 + 0.407825i
\(13\) 1.58511 + 3.23843i 0.439631 + 0.898178i
\(14\) 3.60855 + 2.08340i 0.964425 + 0.556811i
\(15\) −1.38117 3.72413i −0.356617 0.961567i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 1.96958 3.41141i 0.477693 0.827388i −0.521980 0.852958i \(-0.674807\pi\)
0.999673 + 0.0255693i \(0.00813984\pi\)
\(18\) −2.70331 + 1.30082i −0.637176 + 0.306606i
\(19\) −0.878484 3.27855i −0.201538 0.752150i −0.990477 0.137678i \(-0.956036\pi\)
0.788939 0.614472i \(-0.210631\pi\)
\(20\) −1.62156 + 1.62156i −0.362593 + 0.362593i
\(21\) −4.60536 + 5.55671i −1.00497 + 1.21257i
\(22\) −0.832773 1.44241i −0.177548 0.307522i
\(23\) 5.07211 1.05761 0.528804 0.848744i \(-0.322641\pi\)
0.528804 + 0.848744i \(0.322641\pi\)
\(24\) 1.33357 + 1.10525i 0.272214 + 0.225609i
\(25\) 0.224246 0.129469i 0.0448492 0.0258937i
\(26\) 2.36927 + 2.71782i 0.464652 + 0.533009i
\(27\) −1.43617 4.99374i −0.276391 0.961045i
\(28\) 4.02481 + 1.07844i 0.760618 + 0.203807i
\(29\) −4.53523 2.61842i −0.842172 0.486228i 0.0158300 0.999875i \(-0.494961\pi\)
−0.858002 + 0.513647i \(0.828294\pi\)
\(30\) −2.29799 3.23976i −0.419553 0.591497i
\(31\) −0.610507 2.27844i −0.109650 0.409220i 0.889181 0.457556i \(-0.151275\pi\)
−0.998831 + 0.0483356i \(0.984608\pi\)
\(32\) 0.258819 0.965926i 0.0457532 0.170753i
\(33\) 2.70479 1.00312i 0.470843 0.174622i
\(34\) 1.01953 3.80493i 0.174848 0.652541i
\(35\) −8.27525 4.77772i −1.39877 0.807582i
\(36\) −2.27452 + 1.95616i −0.379086 + 0.326027i
\(37\) 1.21985 4.55256i 0.200543 0.748436i −0.790219 0.612824i \(-0.790033\pi\)
0.990762 0.135612i \(-0.0432999\pi\)
\(38\) −1.69710 2.93946i −0.275306 0.476844i
\(39\) −5.32879 + 3.25637i −0.853290 + 0.521437i
\(40\) −1.14662 + 1.98600i −0.181296 + 0.314014i
\(41\) 2.88882 + 2.88882i 0.451157 + 0.451157i 0.895739 0.444581i \(-0.146647\pi\)
−0.444581 + 0.895739i \(0.646647\pi\)
\(42\) −3.01026 + 6.55933i −0.464493 + 1.01213i
\(43\) 4.92213i 0.750619i −0.926900 0.375309i \(-0.877537\pi\)
0.926900 0.375309i \(-0.122463\pi\)
\(44\) −1.17772 1.17772i −0.177548 0.177548i
\(45\) 6.19933 2.98308i 0.924141 0.444692i
\(46\) 4.89928 1.31276i 0.722360 0.193556i
\(47\) 4.39173 + 1.17676i 0.640600 + 0.171648i 0.564475 0.825450i \(-0.309079\pi\)
0.0761249 + 0.997098i \(0.475745\pi\)
\(48\) 1.57419 + 0.722440i 0.227215 + 0.104275i
\(49\) 10.3621i 1.48031i
\(50\) 0.183096 0.183096i 0.0258937 0.0258937i
\(51\) 6.20099 + 2.84580i 0.868312 + 0.398492i
\(52\) 2.99196 + 2.01200i 0.414911 + 0.279015i
\(53\) 6.69581i 0.919741i −0.887986 0.459870i \(-0.847896\pi\)
0.887986 0.459870i \(-0.152104\pi\)
\(54\) −2.67971 4.45187i −0.364662 0.605823i
\(55\) 1.90975 + 3.30778i 0.257510 + 0.446021i
\(56\) 4.16679 0.556811
\(57\) 5.51206 2.04426i 0.730090 0.270769i
\(58\) −5.05840 1.35539i −0.664200 0.177972i
\(59\) −8.36478 2.24134i −1.08900 0.291797i −0.330723 0.943728i \(-0.607293\pi\)
−0.758279 + 0.651930i \(0.773959\pi\)
\(60\) −3.05820 2.53461i −0.394811 0.327217i
\(61\) 11.6225 1.48810 0.744052 0.668122i \(-0.232902\pi\)
0.744052 + 0.668122i \(0.232902\pi\)
\(62\) −1.17941 2.04279i −0.149785 0.259435i
\(63\) −10.3261 7.04489i −1.30097 0.887573i
\(64\) 1.00000i 0.125000i
\(65\) −5.43330 6.23261i −0.673917 0.773061i
\(66\) 2.35300 1.66899i 0.289634 0.205439i
\(67\) −9.81803 + 9.81803i −1.19946 + 1.19946i −0.225137 + 0.974327i \(0.572283\pi\)
−0.974327 + 0.225137i \(0.927717\pi\)
\(68\) 3.93916i 0.477693i
\(69\) 0.818866 + 8.74691i 0.0985798 + 1.05300i
\(70\) −9.22985 2.47313i −1.10318 0.295596i
\(71\) −13.5600 + 3.63339i −1.60928 + 0.431205i −0.947827 0.318784i \(-0.896725\pi\)
−0.661450 + 0.749989i \(0.730059\pi\)
\(72\) −1.69072 + 2.47820i −0.199254 + 0.292058i
\(73\) 6.61207 + 6.61207i 0.773884 + 0.773884i 0.978783 0.204899i \(-0.0656866\pi\)
−0.204899 + 0.978783i \(0.565687\pi\)
\(74\) 4.71315i 0.547893i
\(75\) 0.259473 + 0.365813i 0.0299614 + 0.0422404i
\(76\) −2.40006 2.40006i −0.275306 0.275306i
\(77\) 3.46999 6.01020i 0.395442 0.684926i
\(78\) −4.30441 + 4.52461i −0.487378 + 0.512311i
\(79\) −8.13274 14.0863i −0.915004 1.58483i −0.806895 0.590695i \(-0.798854\pi\)
−0.108109 0.994139i \(-0.534480\pi\)
\(80\) −0.593533 + 2.21510i −0.0663591 + 0.247655i
\(81\) 8.37989 3.28290i 0.931099 0.364767i
\(82\) 3.53806 + 2.04270i 0.390714 + 0.225579i
\(83\) −2.02549 + 7.55922i −0.222326 + 0.829732i 0.761132 + 0.648597i \(0.224644\pi\)
−0.983458 + 0.181135i \(0.942023\pi\)
\(84\) −1.21000 + 7.11494i −0.132022 + 0.776303i
\(85\) −2.33802 + 8.72561i −0.253594 + 0.946426i
\(86\) −1.27394 4.75442i −0.137373 0.512682i
\(87\) 3.78330 8.24379i 0.405612 0.883827i
\(88\) −1.44241 0.832773i −0.153761 0.0887739i
\(89\) 8.95926 + 2.40063i 0.949679 + 0.254466i 0.700226 0.713921i \(-0.253083\pi\)
0.249453 + 0.968387i \(0.419749\pi\)
\(90\) 5.21601 4.48594i 0.549816 0.472860i
\(91\) −4.87127 + 14.2119i −0.510648 + 1.48981i
\(92\) 4.39258 2.53606i 0.457958 0.264402i
\(93\) 3.83063 1.42067i 0.397218 0.147316i
\(94\) 4.54666 0.468952
\(95\) 3.89185 + 6.74089i 0.399296 + 0.691600i
\(96\) 1.70753 + 0.290392i 0.174274 + 0.0296381i
\(97\) −6.05440 + 6.05440i −0.614731 + 0.614731i −0.944175 0.329444i \(-0.893139\pi\)
0.329444 + 0.944175i \(0.393139\pi\)
\(98\) 2.68192 + 10.0091i 0.270915 + 1.01107i
\(99\) 2.16657 + 4.50249i 0.217749 + 0.452517i
\(100\) 0.129469 0.224246i 0.0129469 0.0224246i
\(101\) −8.37557 + 14.5069i −0.833401 + 1.44349i 0.0619252 + 0.998081i \(0.480276\pi\)
−0.895326 + 0.445412i \(0.853057\pi\)
\(102\) 6.72624 + 1.14390i 0.665997 + 0.113263i
\(103\) 7.55143 + 4.35982i 0.744065 + 0.429586i 0.823545 0.567251i \(-0.191993\pi\)
−0.0794807 + 0.996836i \(0.525326\pi\)
\(104\) 3.41076 + 1.16907i 0.334452 + 0.114637i
\(105\) 6.90323 15.0421i 0.673686 1.46796i
\(106\) −1.73300 6.46766i −0.168324 0.628195i
\(107\) 8.80347 5.08268i 0.851063 0.491362i −0.00994628 0.999951i \(-0.503166\pi\)
0.861009 + 0.508589i \(0.169833\pi\)
\(108\) −3.74063 3.60662i −0.359942 0.347047i
\(109\) 2.11305 2.11305i 0.202394 0.202394i −0.598631 0.801025i \(-0.704288\pi\)
0.801025 + 0.598631i \(0.204288\pi\)
\(110\) 2.70079 + 2.70079i 0.257510 + 0.257510i
\(111\) 8.04787 + 1.36866i 0.763870 + 0.129908i
\(112\) 4.02481 1.07844i 0.380309 0.101903i
\(113\) −16.1467 + 9.32231i −1.51895 + 0.876969i −0.519203 + 0.854651i \(0.673771\pi\)
−0.999751 + 0.0223181i \(0.992895\pi\)
\(114\) 4.79515 3.40123i 0.449107 0.318554i
\(115\) −11.2352 + 3.01047i −1.04769 + 0.280728i
\(116\) −5.23684 −0.486228
\(117\) −6.47595 8.66384i −0.598702 0.800972i
\(118\) −8.65986 −0.797205
\(119\) 15.8544 4.24816i 1.45337 0.389428i
\(120\) −3.61000 1.65673i −0.329546 0.151238i
\(121\) 7.12389 4.11298i 0.647626 0.373907i
\(122\) 11.2264 3.00811i 1.01639 0.272342i
\(123\) −4.51541 + 5.44818i −0.407141 + 0.491246i
\(124\) −1.66793 1.66793i −0.149785 0.149785i
\(125\) 7.68794 7.68794i 0.687630 0.687630i
\(126\) −11.7976 4.13225i −1.05102 0.368130i
\(127\) 14.6359 8.45004i 1.29873 0.749820i 0.318542 0.947909i \(-0.396807\pi\)
0.980184 + 0.198089i \(0.0634735\pi\)
\(128\) −0.258819 0.965926i −0.0228766 0.0853766i
\(129\) 8.48827 0.794653i 0.747351 0.0699653i
\(130\) −6.86128 4.61400i −0.601774 0.404675i
\(131\) 9.78550 + 5.64966i 0.854963 + 0.493613i 0.862322 0.506360i \(-0.169009\pi\)
−0.00735903 + 0.999973i \(0.502342\pi\)
\(132\) 1.84085 2.22113i 0.160226 0.193324i
\(133\) 7.07146 12.2481i 0.613173 1.06205i
\(134\) −6.94240 + 12.0246i −0.599732 + 1.03877i
\(135\) 6.14521 + 10.2092i 0.528895 + 0.878668i
\(136\) −1.01953 3.80493i −0.0874239 0.326270i
\(137\) −10.9647 + 10.9647i −0.936777 + 0.936777i −0.998117 0.0613396i \(-0.980463\pi\)
0.0613396 + 0.998117i \(0.480463\pi\)
\(138\) 3.05483 + 8.23693i 0.260044 + 0.701174i
\(139\) −8.94201 15.4880i −0.758451 1.31368i −0.943640 0.330973i \(-0.892623\pi\)
0.185189 0.982703i \(-0.440710\pi\)
\(140\) −9.55544 −0.807582
\(141\) −1.32032 + 7.76357i −0.111191 + 0.653811i
\(142\) −12.1576 + 7.01918i −1.02024 + 0.589036i
\(143\) 4.52666 3.94613i 0.378538 0.329992i
\(144\) −0.991710 + 2.83134i −0.0826425 + 0.235945i
\(145\) 11.6001 + 3.10824i 0.963336 + 0.258125i
\(146\) 8.09810 + 4.67544i 0.670203 + 0.386942i
\(147\) −17.8696 + 1.67291i −1.47386 + 0.137980i
\(148\) −1.21985 4.55256i −0.100271 0.374218i
\(149\) −1.06319 + 3.96787i −0.0870997 + 0.325061i −0.995704 0.0925986i \(-0.970483\pi\)
0.908604 + 0.417659i \(0.137149\pi\)
\(150\) 0.345311 + 0.286191i 0.0281945 + 0.0233674i
\(151\) −0.919034 + 3.42988i −0.0747899 + 0.279120i −0.993186 0.116543i \(-0.962819\pi\)
0.918396 + 0.395663i \(0.129485\pi\)
\(152\) −2.93946 1.69710i −0.238422 0.137653i
\(153\) −3.90650 + 11.1531i −0.315822 + 0.901675i
\(154\) 1.79620 6.70351i 0.144742 0.540184i
\(155\) 2.70466 + 4.68461i 0.217244 + 0.376277i
\(156\) −2.98668 + 5.48450i −0.239126 + 0.439111i
\(157\) 4.11430 7.12617i 0.328357 0.568731i −0.653829 0.756642i \(-0.726839\pi\)
0.982186 + 0.187912i \(0.0601719\pi\)
\(158\) −11.5014 11.5014i −0.915004 0.915004i
\(159\) 11.5470 1.08100i 0.915737 0.0857292i
\(160\) 2.29324i 0.181296i
\(161\) 14.9443 + 14.9443i 1.17778 + 1.17778i
\(162\) 7.24467 5.33992i 0.569195 0.419543i
\(163\) −14.8816 + 3.98750i −1.16561 + 0.312325i −0.789206 0.614129i \(-0.789507\pi\)
−0.376408 + 0.926454i \(0.622841\pi\)
\(164\) 3.94620 + 1.05738i 0.308146 + 0.0825675i
\(165\) −5.39598 + 3.82740i −0.420076 + 0.297963i
\(166\) 7.82588i 0.607406i
\(167\) −2.39493 + 2.39493i −0.185325 + 0.185325i −0.793671 0.608347i \(-0.791833\pi\)
0.608347 + 0.793671i \(0.291833\pi\)
\(168\) 0.672706 + 7.18567i 0.0519004 + 0.554387i
\(169\) −7.97483 + 10.2666i −0.613448 + 0.789735i
\(170\) 9.03342i 0.692832i
\(171\) 4.41524 + 9.17557i 0.337642 + 0.701673i
\(172\) −2.46107 4.26269i −0.187655 0.325027i
\(173\) −8.59114 −0.653172 −0.326586 0.945167i \(-0.605898\pi\)
−0.326586 + 0.945167i \(0.605898\pi\)
\(174\) 1.52074 8.94208i 0.115287 0.677897i
\(175\) 1.04217 + 0.279249i 0.0787809 + 0.0211093i
\(176\) −1.60879 0.431075i −0.121267 0.0324935i
\(177\) 2.51476 14.7870i 0.189021 1.11146i
\(178\) 9.27530 0.695213
\(179\) −5.02767 8.70818i −0.375786 0.650880i 0.614658 0.788793i \(-0.289294\pi\)
−0.990444 + 0.137913i \(0.955961\pi\)
\(180\) 3.87723 5.68309i 0.288992 0.423592i
\(181\) 4.65565i 0.346052i −0.984917 0.173026i \(-0.944646\pi\)
0.984917 0.173026i \(-0.0553545\pi\)
\(182\) −1.02697 + 14.9884i −0.0761240 + 1.11102i
\(183\) 1.87638 + 20.0430i 0.138706 + 1.48162i
\(184\) 3.58652 3.58652i 0.264402 0.264402i
\(185\) 10.8084i 0.794648i
\(186\) 3.33241 2.36370i 0.244344 0.173315i
\(187\) −6.33729 1.69807i −0.463429 0.124175i
\(188\) 4.39173 1.17676i 0.320300 0.0858242i
\(189\) 10.4819 18.9449i 0.762446 1.37804i
\(190\) 5.50391 + 5.50391i 0.399296 + 0.399296i
\(191\) 8.62127i 0.623813i −0.950113 0.311906i \(-0.899032\pi\)
0.950113 0.311906i \(-0.100968\pi\)
\(192\) 1.72451 0.161445i 0.124456 0.0116513i
\(193\) −12.1598 12.1598i −0.875283 0.875283i 0.117759 0.993042i \(-0.462429\pi\)
−0.993042 + 0.117759i \(0.962429\pi\)
\(194\) −4.28111 + 7.41510i −0.307366 + 0.532373i
\(195\) 9.87103 10.3760i 0.706879 0.743041i
\(196\) 5.18107 + 8.97388i 0.370077 + 0.640992i
\(197\) −2.41082 + 8.99729i −0.171764 + 0.641030i 0.825317 + 0.564670i \(0.190997\pi\)
−0.997080 + 0.0763603i \(0.975670\pi\)
\(198\) 3.25808 + 3.78832i 0.231542 + 0.269224i
\(199\) −5.89590 3.40400i −0.417950 0.241303i 0.276250 0.961086i \(-0.410908\pi\)
−0.694200 + 0.719782i \(0.744242\pi\)
\(200\) 0.0670178 0.250114i 0.00473888 0.0176857i
\(201\) −18.5164 15.3462i −1.30604 1.08244i
\(202\) −4.33552 + 16.1804i −0.305046 + 1.13845i
\(203\) −5.64764 21.0773i −0.396387 1.47934i
\(204\) 6.79312 0.635956i 0.475613 0.0445258i
\(205\) −8.11362 4.68440i −0.566680 0.327173i
\(206\) 8.42253 + 2.25681i 0.586825 + 0.157239i
\(207\) −14.9519 + 2.82428i −1.03923 + 0.196301i
\(208\) 3.59712 + 0.246465i 0.249415 + 0.0170893i
\(209\) −4.89581 + 2.82660i −0.338651 + 0.195520i
\(210\) 2.77483 16.3162i 0.191481 1.12593i
\(211\) −17.3409 −1.19380 −0.596899 0.802316i \(-0.703601\pi\)
−0.596899 + 0.802316i \(0.703601\pi\)
\(212\) −3.34791 5.79875i −0.229935 0.398259i
\(213\) −8.45502 22.7978i −0.579328 1.56208i
\(214\) 7.18800 7.18800i 0.491362 0.491362i
\(215\) 2.92145 + 10.9030i 0.199241 + 0.743579i
\(216\) −4.54663 2.51558i −0.309359 0.171164i
\(217\) 4.91435 8.51190i 0.333608 0.577825i
\(218\) 1.49415 2.58795i 0.101197 0.175278i
\(219\) −10.3351 + 12.4701i −0.698381 + 0.842649i
\(220\) 3.30778 + 1.90975i 0.223010 + 0.128755i
\(221\) 14.1696 + 0.970865i 0.953151 + 0.0653074i
\(222\) 8.12788 0.760914i 0.545508 0.0510692i
\(223\) −6.93742 25.8908i −0.464564 1.73378i −0.658331 0.752729i \(-0.728737\pi\)
0.193767 0.981048i \(-0.437930\pi\)
\(224\) 3.60855 2.08340i 0.241106 0.139203i
\(225\) −0.588957 + 0.506523i −0.0392638 + 0.0337682i
\(226\) −13.1837 + 13.1837i −0.876969 + 0.876969i
\(227\) −4.85337 4.85337i −0.322129 0.322129i 0.527454 0.849583i \(-0.323147\pi\)
−0.849583 + 0.527454i \(0.823147\pi\)
\(228\) 3.75145 4.52641i 0.248446 0.299769i
\(229\) −17.2203 + 4.61415i −1.13795 + 0.304912i −0.778125 0.628109i \(-0.783829\pi\)
−0.359821 + 0.933021i \(0.617162\pi\)
\(230\) −10.0732 + 5.81578i −0.664209 + 0.383481i
\(231\) 10.9249 + 5.01372i 0.718804 + 0.329879i
\(232\) −5.05840 + 1.35539i −0.332100 + 0.0889859i
\(233\) 13.8109 0.904780 0.452390 0.891820i \(-0.350571\pi\)
0.452390 + 0.891820i \(0.350571\pi\)
\(234\) −8.49766 6.69252i −0.555509 0.437504i
\(235\) −10.4266 −0.680154
\(236\) −8.36478 + 2.24134i −0.544501 + 0.145899i
\(237\) 22.9790 16.2991i 1.49265 1.05874i
\(238\) 14.2146 8.20682i 0.921398 0.531969i
\(239\) 21.4520 5.74805i 1.38762 0.371811i 0.513734 0.857949i \(-0.328262\pi\)
0.873882 + 0.486139i \(0.161595\pi\)
\(240\) −3.91578 0.665939i −0.252763 0.0429862i
\(241\) 7.02904 + 7.02904i 0.452781 + 0.452781i 0.896276 0.443496i \(-0.146262\pi\)
−0.443496 + 0.896276i \(0.646262\pi\)
\(242\) 5.81663 5.81663i 0.373907 0.373907i
\(243\) 7.01429 + 13.9212i 0.449967 + 0.893045i
\(244\) 10.0653 5.81123i 0.644368 0.372026i
\(245\) −6.15028 22.9532i −0.392927 1.46642i
\(246\) −2.95146 + 6.43121i −0.188178 + 0.410039i
\(247\) 9.22484 8.04177i 0.586962 0.511686i
\(248\) −2.04279 1.17941i −0.129718 0.0748925i
\(249\) −13.3630 2.27258i −0.846843 0.144019i
\(250\) 5.43619 9.41576i 0.343815 0.595505i
\(251\) 4.30727 7.46042i 0.271873 0.470897i −0.697469 0.716615i \(-0.745690\pi\)
0.969341 + 0.245718i \(0.0790237\pi\)
\(252\) −12.4651 0.937996i −0.785229 0.0590882i
\(253\) −2.18646 8.15999i −0.137462 0.513014i
\(254\) 11.9502 11.9502i 0.749820 0.749820i
\(255\) −15.4249 2.62324i −0.965943 0.164273i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −13.3721 −0.834128 −0.417064 0.908877i \(-0.636941\pi\)
−0.417064 + 0.908877i \(0.636941\pi\)
\(258\) 7.99337 2.96450i 0.497645 0.184562i
\(259\) 17.0076 9.81936i 1.05680 0.610145i
\(260\) −7.82168 2.68095i −0.485080 0.166266i
\(261\) 14.8273 + 5.19342i 0.917786 + 0.321465i
\(262\) 10.9143 + 2.92448i 0.674288 + 0.180675i
\(263\) −3.71361 2.14406i −0.228991 0.132208i 0.381115 0.924527i \(-0.375540\pi\)
−0.610107 + 0.792319i \(0.708873\pi\)
\(264\) 1.20326 2.62189i 0.0740554 0.161366i
\(265\) 3.97419 + 14.8319i 0.244133 + 0.911115i
\(266\) 3.66046 13.6610i 0.224437 0.837610i
\(267\) −2.69348 + 15.8379i −0.164838 + 0.969264i
\(268\) −3.59365 + 13.4117i −0.219517 + 0.819249i
\(269\) −13.1178 7.57359i −0.799809 0.461770i 0.0435953 0.999049i \(-0.486119\pi\)
−0.843404 + 0.537279i \(0.819452\pi\)
\(270\) 8.57815 + 8.27083i 0.522050 + 0.503347i
\(271\) −0.913090 + 3.40770i −0.0554663 + 0.207003i −0.988098 0.153827i \(-0.950840\pi\)
0.932631 + 0.360830i \(0.117507\pi\)
\(272\) −1.96958 3.41141i −0.119423 0.206847i
\(273\) −25.2950 6.10611i −1.53093 0.369559i
\(274\) −7.75321 + 13.4290i −0.468389 + 0.811273i
\(275\) −0.304955 0.304955i −0.0183895 0.0183895i
\(276\) 5.08261 + 7.16561i 0.305937 + 0.431319i
\(277\) 21.9515i 1.31894i 0.751732 + 0.659468i \(0.229218\pi\)
−0.751732 + 0.659468i \(0.770782\pi\)
\(278\) −12.6459 12.6459i −0.758451 0.758451i
\(279\) 3.06839 + 6.37661i 0.183700 + 0.381757i
\(280\) −9.22985 + 2.47313i −0.551589 + 0.147798i
\(281\) 1.24159 + 0.332682i 0.0740668 + 0.0198461i 0.295662 0.955293i \(-0.404460\pi\)
−0.221595 + 0.975139i \(0.571126\pi\)
\(282\) 0.734034 + 7.84076i 0.0437111 + 0.466910i
\(283\) 12.4186i 0.738210i −0.929388 0.369105i \(-0.879664\pi\)
0.929388 0.369105i \(-0.120336\pi\)
\(284\) −9.92662 + 9.92662i −0.589036 + 0.589036i
\(285\) −10.9964 + 7.79982i −0.651371 + 0.462022i
\(286\) 3.35109 4.98325i 0.198154 0.294666i
\(287\) 17.0230i 1.00484i
\(288\) −0.225112 + 2.99154i −0.0132649 + 0.176278i
\(289\) 0.741523 + 1.28436i 0.0436190 + 0.0755504i
\(290\) 12.0093 0.705211
\(291\) −11.4183 9.46343i −0.669354 0.554756i
\(292\) 9.03226 + 2.42019i 0.528573 + 0.141631i
\(293\) 7.88381 + 2.11246i 0.460577 + 0.123411i 0.481644 0.876367i \(-0.340040\pi\)
−0.0210673 + 0.999778i \(0.506706\pi\)
\(294\) −16.8278 + 6.24091i −0.981414 + 0.363977i
\(295\) 19.8591 1.15624
\(296\) −2.35658 4.08171i −0.136973 0.237245i
\(297\) −7.41480 + 4.46318i −0.430250 + 0.258980i
\(298\) 4.10784i 0.237961i
\(299\) 8.03987 + 16.4257i 0.464958 + 0.949921i
\(300\) 0.407617 + 0.187066i 0.0235338 + 0.0108003i
\(301\) 14.5024 14.5024i 0.835905 0.835905i
\(302\) 3.55087i 0.204330i
\(303\) −26.3695 12.1017i −1.51489 0.695224i
\(304\) −3.27855 0.878484i −0.188037 0.0503845i
\(305\) −25.7449 + 6.89832i −1.47415 + 0.394997i
\(306\) −0.886753 + 11.7842i −0.0506923 + 0.673655i
\(307\) 14.4197 + 14.4197i 0.822977 + 0.822977i 0.986534 0.163557i \(-0.0522968\pi\)
−0.163557 + 0.986534i \(0.552297\pi\)
\(308\) 6.93998i 0.395442i
\(309\) −6.29942 + 13.7264i −0.358361 + 0.780867i
\(310\) 3.82497 + 3.82497i 0.217244 + 0.217244i
\(311\) 2.55908 4.43246i 0.145112 0.251342i −0.784303 0.620379i \(-0.786979\pi\)
0.929415 + 0.369037i \(0.120312\pi\)
\(312\) −1.46542 + 6.07063i −0.0829633 + 0.343682i
\(313\) 2.52339 + 4.37065i 0.142631 + 0.247043i 0.928486 0.371366i \(-0.121111\pi\)
−0.785856 + 0.618410i \(0.787777\pi\)
\(314\) 2.12972 7.94821i 0.120187 0.448544i
\(315\) 27.0547 + 9.47622i 1.52436 + 0.533925i
\(316\) −14.0863 8.13274i −0.792417 0.457502i
\(317\) 1.64335 6.13308i 0.0922999 0.344468i −0.904296 0.426905i \(-0.859604\pi\)
0.996596 + 0.0824373i \(0.0262704\pi\)
\(318\) 10.8738 4.03275i 0.609770 0.226146i
\(319\) −2.25747 + 8.42500i −0.126394 + 0.471709i
\(320\) 0.593533 + 2.21510i 0.0331795 + 0.123828i
\(321\) 10.1864 + 14.3611i 0.568550 + 0.801558i
\(322\) 18.3030 + 10.5672i 1.01998 + 0.588888i
\(323\) −12.9147 3.46048i −0.718593 0.192547i
\(324\) 5.61575 7.03302i 0.311986 0.390723i
\(325\) 0.774730 + 0.520982i 0.0429743 + 0.0288989i
\(326\) −13.3424 + 7.70326i −0.738969 + 0.426644i
\(327\) 3.98512 + 3.30284i 0.220378 + 0.182647i
\(328\) 4.08540 0.225579
\(329\) 9.47249 + 16.4068i 0.522235 + 0.904538i
\(330\) −4.22151 + 5.09357i −0.232387 + 0.280392i
\(331\) 2.03052 2.03052i 0.111607 0.111607i −0.649098 0.760705i \(-0.724853\pi\)
0.760705 + 0.649098i \(0.224853\pi\)
\(332\) 2.02549 + 7.55922i 0.111163 + 0.414866i
\(333\) −1.06099 + 14.0996i −0.0581418 + 0.772653i
\(334\) −1.69347 + 2.93317i −0.0926624 + 0.160496i
\(335\) 15.9206 27.5752i 0.869834 1.50660i
\(336\) 2.50957 + 6.76672i 0.136908 + 0.369155i
\(337\) 11.4454 + 6.60801i 0.623471 + 0.359961i 0.778219 0.627993i \(-0.216123\pi\)
−0.154748 + 0.987954i \(0.549457\pi\)
\(338\) −5.04591 + 11.9808i −0.274462 + 0.651668i
\(339\) −18.6832 26.3401i −1.01473 1.43060i
\(340\) 2.33802 + 8.72561i 0.126797 + 0.473213i
\(341\) −3.40237 + 1.96436i −0.184249 + 0.106376i
\(342\) 6.63960 + 7.72017i 0.359029 + 0.417459i
\(343\) −9.90611 + 9.90611i −0.534880 + 0.534880i
\(344\) −3.48048 3.48048i −0.187655 0.187655i
\(345\) −7.00545 18.8892i −0.377161 1.01696i
\(346\) −8.29840 + 2.22355i −0.446125 + 0.119539i
\(347\) 3.45612 1.99539i 0.185534 0.107118i −0.404356 0.914602i \(-0.632504\pi\)
0.589890 + 0.807483i \(0.299171\pi\)
\(348\) −0.845460 9.03098i −0.0453214 0.484111i
\(349\) −15.6408 + 4.19093i −0.837230 + 0.224335i −0.651866 0.758335i \(-0.726013\pi\)
−0.185365 + 0.982670i \(0.559347\pi\)
\(350\) 1.07894 0.0576716
\(351\) 13.8954 12.5666i 0.741680 0.670754i
\(352\) −1.66555 −0.0887739
\(353\) 1.71497 0.459526i 0.0912789 0.0244581i −0.212891 0.977076i \(-0.568288\pi\)
0.304169 + 0.952618i \(0.401621\pi\)
\(354\) −1.39809 14.9340i −0.0743076 0.793734i
\(355\) 27.8802 16.0966i 1.47973 0.854321i
\(356\) 8.95926 2.40063i 0.474840 0.127233i
\(357\) 9.88560 + 26.6552i 0.523202 + 1.41074i
\(358\) −7.11020 7.11020i −0.375786 0.375786i
\(359\) 5.40394 5.40394i 0.285209 0.285209i −0.549973 0.835182i \(-0.685362\pi\)
0.835182 + 0.549973i \(0.185362\pi\)
\(360\) 2.27423 6.49294i 0.119862 0.342208i
\(361\) 6.47736 3.73970i 0.340913 0.196826i
\(362\) −1.20497 4.49702i −0.0633319 0.236358i
\(363\) 8.24299 + 11.6212i 0.432645 + 0.609955i
\(364\) 2.88732 + 14.7435i 0.151337 + 0.772770i
\(365\) −18.5709 10.7219i −0.972043 0.561209i
\(366\) 6.99997 + 18.8745i 0.365894 + 0.986584i
\(367\) −11.4578 + 19.8455i −0.598092 + 1.03593i 0.395010 + 0.918677i \(0.370741\pi\)
−0.993102 + 0.117250i \(0.962592\pi\)
\(368\) 2.53606 4.39258i 0.132201 0.228979i
\(369\) −10.1244 6.90729i −0.527057 0.359579i
\(370\) 2.79741 + 10.4401i 0.145431 + 0.542754i
\(371\) 19.7283 19.7283i 1.02424 1.02424i
\(372\) 2.60709 3.14565i 0.135171 0.163094i
\(373\) 6.18794 + 10.7178i 0.320400 + 0.554948i 0.980570 0.196167i \(-0.0628495\pi\)
−0.660171 + 0.751115i \(0.729516\pi\)
\(374\) −6.56085 −0.339253
\(375\) 14.4991 + 12.0167i 0.748730 + 0.620542i
\(376\) 3.93752 2.27333i 0.203062 0.117238i
\(377\) 1.29070 18.8375i 0.0664743 0.970182i
\(378\) 5.22144 21.0122i 0.268562 1.08075i
\(379\) −15.6589 4.19579i −0.804344 0.215523i −0.166854 0.985982i \(-0.553361\pi\)
−0.637490 + 0.770458i \(0.720027\pi\)
\(380\) 6.74089 + 3.89185i 0.345800 + 0.199648i
\(381\) 16.9351 + 23.8755i 0.867610 + 1.22318i
\(382\) −2.23135 8.32750i −0.114166 0.426072i
\(383\) −1.88172 + 7.02266i −0.0961512 + 0.358841i −0.997191 0.0748943i \(-0.976138\pi\)
0.901040 + 0.433735i \(0.142805\pi\)
\(384\) 1.62396 0.602280i 0.0828726 0.0307350i
\(385\) −4.11911 + 15.3727i −0.209929 + 0.783467i
\(386\) −14.8927 8.59830i −0.758018 0.437642i
\(387\) 2.74077 + 14.5098i 0.139321 + 0.737576i
\(388\) −2.21607 + 8.27047i −0.112504 + 0.419869i
\(389\) 12.0896 + 20.9397i 0.612965 + 1.06169i 0.990738 + 0.135788i \(0.0433566\pi\)
−0.377773 + 0.925898i \(0.623310\pi\)
\(390\) 6.84918 12.5773i 0.346822 0.636874i
\(391\) 9.98992 17.3030i 0.505212 0.875053i
\(392\) 7.32714 + 7.32714i 0.370077 + 0.370077i
\(393\) −8.16308 + 17.7873i −0.411773 + 0.897251i
\(394\) 9.31468i 0.469267i
\(395\) 26.3755 + 26.3755i 1.32710 + 1.32710i
\(396\) 4.12755 + 2.81598i 0.207417 + 0.141508i
\(397\) −16.2930 + 4.36571i −0.817724 + 0.219109i −0.643351 0.765571i \(-0.722457\pi\)
−0.174373 + 0.984680i \(0.555790\pi\)
\(398\) −6.57603 1.76204i −0.329626 0.0883231i
\(399\) 22.2637 + 10.2174i 1.11458 + 0.511510i
\(400\) 0.258937i 0.0129469i
\(401\) 14.4886 14.4886i 0.723524 0.723524i −0.245798 0.969321i \(-0.579050\pi\)
0.969321 + 0.245798i \(0.0790498\pi\)
\(402\) −21.8573 10.0309i −1.09014 0.500297i
\(403\) 6.41085 5.58867i 0.319347 0.278391i
\(404\) 16.7511i 0.833401i
\(405\) −16.6138 + 12.2457i −0.825544 + 0.608493i
\(406\) −10.9104 18.8974i −0.541474 0.937861i
\(407\) −7.84998 −0.389109
\(408\) 6.39705 2.37247i 0.316701 0.117455i
\(409\) −16.5616 4.43768i −0.818921 0.219429i −0.175046 0.984560i \(-0.556007\pi\)
−0.643875 + 0.765131i \(0.722674\pi\)
\(410\) −9.04957 2.42482i −0.446926 0.119754i
\(411\) −20.6789 17.1385i −1.02002 0.845382i
\(412\) 8.71964 0.429586
\(413\) −18.0419 31.2495i −0.887785 1.53769i
\(414\) −13.7115 + 6.59789i −0.673882 + 0.324269i
\(415\) 17.9466i 0.880964i
\(416\) 3.53834 0.692936i 0.173481 0.0339740i
\(417\) 25.2656 17.9210i 1.23726 0.877597i
\(418\) −3.99742 + 3.99742i −0.195520 + 0.195520i
\(419\) 27.7250i 1.35446i 0.735773 + 0.677228i \(0.236819\pi\)
−0.735773 + 0.677228i \(0.763181\pi\)
\(420\) −1.54268 16.4785i −0.0752749 0.804066i
\(421\) 28.1804 + 7.55093i 1.37343 + 0.368010i 0.868731 0.495285i \(-0.164936\pi\)
0.504700 + 0.863295i \(0.331603\pi\)
\(422\) −16.7500 + 4.48816i −0.815380 + 0.218480i
\(423\) −13.6015 1.02351i −0.661328 0.0497647i
\(424\) −4.73466 4.73466i −0.229935 0.229935i
\(425\) 1.01999i 0.0494770i
\(426\) −14.0674 19.8327i −0.681569 0.960895i
\(427\) 34.2440 + 34.2440i 1.65718 + 1.65718i
\(428\) 5.08268 8.80347i 0.245681 0.425532i
\(429\) 7.53594 + 7.16919i 0.363839 + 0.346132i
\(430\) 5.64381 + 9.77537i 0.272169 + 0.471410i
\(431\) 0.105936 0.395359i 0.00510277 0.0190438i −0.963328 0.268328i \(-0.913529\pi\)
0.968430 + 0.249285i \(0.0801955\pi\)
\(432\) −5.04279 1.25311i −0.242621 0.0602902i
\(433\) 16.7881 + 9.69262i 0.806785 + 0.465798i 0.845838 0.533440i \(-0.179101\pi\)
−0.0390532 + 0.999237i \(0.512434\pi\)
\(434\) 2.54385 9.49379i 0.122109 0.455716i
\(435\) −3.48741 + 20.5063i −0.167209 + 0.983202i
\(436\) 0.773431 2.88648i 0.0370406 0.138237i
\(437\) −4.45577 16.6291i −0.213148 0.795480i
\(438\) −6.75545 + 14.7201i −0.322788 + 0.703353i
\(439\) 14.8206 + 8.55666i 0.707348 + 0.408387i 0.810078 0.586322i \(-0.199425\pi\)
−0.102731 + 0.994709i \(0.532758\pi\)
\(440\) 3.68935 + 0.988558i 0.175883 + 0.0471276i
\(441\) −5.76991 30.5463i −0.274758 1.45458i
\(442\) 13.9381 2.72958i 0.662966 0.129833i
\(443\) 2.12505 1.22690i 0.100964 0.0582916i −0.448668 0.893699i \(-0.648101\pi\)
0.549632 + 0.835407i \(0.314768\pi\)
\(444\) 7.65399 2.83864i 0.363242 0.134716i
\(445\) −21.2705 −1.00832
\(446\) −13.4021 23.2131i −0.634606 1.09917i
\(447\) −7.01428 1.19289i −0.331764 0.0564216i
\(448\) 2.94637 2.94637i 0.139203 0.139203i
\(449\) 1.17970 + 4.40270i 0.0556735 + 0.207776i 0.988160 0.153429i \(-0.0490318\pi\)
−0.932486 + 0.361206i \(0.882365\pi\)
\(450\) −0.437791 + 0.641697i −0.0206377 + 0.0302499i
\(451\) 3.40222 5.89281i 0.160204 0.277482i
\(452\) −9.32231 + 16.1467i −0.438484 + 0.759477i
\(453\) −6.06324 1.03115i −0.284876 0.0484475i
\(454\) −5.94413 3.43185i −0.278972 0.161065i
\(455\) 2.35508 34.3720i 0.110408 1.61139i
\(456\) 2.45211 5.34312i 0.114830 0.250215i
\(457\) −2.23930 8.35718i −0.104750 0.390933i 0.893567 0.448931i \(-0.148195\pi\)
−0.998317 + 0.0579980i \(0.981528\pi\)
\(458\) −15.4393 + 8.91386i −0.721429 + 0.416517i
\(459\) −19.8643 4.93619i −0.927188 0.230402i
\(460\) −8.22475 + 8.22475i −0.383481 + 0.383481i
\(461\) 13.6214 + 13.6214i 0.634412 + 0.634412i 0.949171 0.314760i \(-0.101924\pi\)
−0.314760 + 0.949171i \(0.601924\pi\)
\(462\) 11.8503 + 2.01532i 0.551324 + 0.0937611i
\(463\) 3.25146 0.871225i 0.151108 0.0404893i −0.182472 0.983211i \(-0.558410\pi\)
0.333580 + 0.942722i \(0.391743\pi\)
\(464\) −4.53523 + 2.61842i −0.210543 + 0.121557i
\(465\) −7.64201 + 5.42052i −0.354390 + 0.251371i
\(466\) 13.3403 3.57452i 0.617976 0.165586i
\(467\) −25.8396 −1.19571 −0.597856 0.801604i \(-0.703981\pi\)
−0.597856 + 0.801604i \(0.703981\pi\)
\(468\) −9.94026 4.26513i −0.459489 0.197155i
\(469\) −57.8550 −2.67150
\(470\) −10.0713 + 2.69859i −0.464554 + 0.124477i
\(471\) 12.9534 + 5.94467i 0.596861 + 0.273916i
\(472\) −7.49966 + 4.32993i −0.345200 + 0.199301i
\(473\) −7.91870 + 2.12181i −0.364102 + 0.0975609i
\(474\) 17.9775 21.6912i 0.825733 0.996309i
\(475\) −0.621465 0.621465i −0.0285148 0.0285148i
\(476\) 11.6062 11.6062i 0.531969 0.531969i
\(477\) 3.72840 + 19.7384i 0.170712 + 0.903759i
\(478\) 19.2334 11.1044i 0.879713 0.507903i
\(479\) 5.25832 + 19.6243i 0.240259 + 0.896657i 0.975708 + 0.219077i \(0.0703047\pi\)
−0.735449 + 0.677580i \(0.763029\pi\)
\(480\) −3.95471 + 0.370231i −0.180507 + 0.0168987i
\(481\) 16.6767 3.26591i 0.760393 0.148913i
\(482\) 8.60879 + 4.97029i 0.392119 + 0.226390i
\(483\) −23.3589 + 28.1843i −1.06287 + 1.28243i
\(484\) 4.11298 7.12389i 0.186954 0.323813i
\(485\) 9.81760 17.0046i 0.445794 0.772138i
\(486\) 10.3784 + 11.6314i 0.470772 + 0.527612i
\(487\) −9.75089 36.3908i −0.441855 1.64902i −0.724109 0.689685i \(-0.757749\pi\)
0.282255 0.959340i \(-0.408918\pi\)
\(488\) 8.21832 8.21832i 0.372026 0.372026i
\(489\) −9.27903 25.0196i −0.419612 1.13143i
\(490\) −11.8814 20.5792i −0.536748 0.929675i
\(491\) 25.8129 1.16492 0.582459 0.812860i \(-0.302091\pi\)
0.582459 + 0.812860i \(0.302091\pi\)
\(492\) −1.18637 + 6.97597i −0.0534857 + 0.314501i
\(493\) −17.8650 + 10.3144i −0.804599 + 0.464535i
\(494\) 6.82914 10.1553i 0.307258 0.456909i
\(495\) −7.47155 8.68751i −0.335821 0.390474i
\(496\) −2.27844 0.610507i −0.102305 0.0274126i
\(497\) −50.6581 29.2475i −2.27233 1.31193i
\(498\) −13.4958 + 1.26345i −0.604762 + 0.0566164i
\(499\) −4.92584 18.3835i −0.220511 0.822958i −0.984153 0.177319i \(-0.943258\pi\)
0.763642 0.645639i \(-0.223409\pi\)
\(500\) 2.81398 10.5019i 0.125845 0.469660i
\(501\) −4.51672 3.74342i −0.201792 0.167244i
\(502\) 2.22961 8.32102i 0.0995123 0.371385i
\(503\) 2.59687 + 1.49930i 0.115789 + 0.0668507i 0.556776 0.830663i \(-0.312038\pi\)
−0.440987 + 0.897513i \(0.645372\pi\)
\(504\) −12.2832 + 2.32018i −0.547136 + 0.103349i
\(505\) 9.94237 37.1054i 0.442430 1.65117i
\(506\) −4.22392 7.31604i −0.187776 0.325238i
\(507\) −18.9923 12.0952i −0.843476 0.537166i
\(508\) 8.45004 14.6359i 0.374910 0.649363i
\(509\) 16.7482 + 16.7482i 0.742351 + 0.742351i 0.973030 0.230679i \(-0.0740947\pi\)
−0.230679 + 0.973030i \(0.574095\pi\)
\(510\) −15.5782 + 1.45840i −0.689815 + 0.0645790i
\(511\) 38.9632i 1.72363i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −15.1105 + 9.09547i −0.667147 + 0.401575i
\(514\) −12.9164 + 3.46095i −0.569720 + 0.152656i
\(515\) −19.3149 5.17540i −0.851114 0.228055i
\(516\) 6.95373 4.93233i 0.306121 0.217134i
\(517\) 7.57267i 0.333046i
\(518\) 13.8867 13.8867i 0.610145 0.610145i
\(519\) −1.38699 14.8155i −0.0608823 0.650329i
\(520\) −8.24904 0.565203i −0.361745 0.0247858i
\(521\) 9.92644i 0.434885i 0.976073 + 0.217443i \(0.0697715\pi\)
−0.976073 + 0.217443i \(0.930229\pi\)
\(522\) 15.6662 + 1.17888i 0.685692 + 0.0515980i
\(523\) 8.91409 + 15.4397i 0.389786 + 0.675129i 0.992421 0.122888i \(-0.0392157\pi\)
−0.602635 + 0.798017i \(0.705882\pi\)
\(524\) 11.2993 0.493613
\(525\) −0.313315 + 1.84232i −0.0136742 + 0.0804055i
\(526\) −4.14200 1.10984i −0.180600 0.0483915i
\(527\) −8.97514 2.40488i −0.390963 0.104758i
\(528\) 0.483662 2.84398i 0.0210487 0.123768i
\(529\) 2.72632 0.118536
\(530\) 7.67755 + 13.2979i 0.333491 + 0.577624i
\(531\) 25.9063 + 1.94944i 1.12424 + 0.0845986i
\(532\) 14.1429i 0.613173i
\(533\) −4.77612 + 13.9343i −0.206877 + 0.603563i
\(534\) 1.49745 + 15.9954i 0.0648010 + 0.692187i
\(535\) −16.4838 + 16.4838i −0.712656 + 0.712656i
\(536\) 13.8848i 0.599732i
\(537\) 14.2057 10.0762i 0.613020 0.434819i
\(538\) −14.6311 3.92038i −0.630790 0.169020i
\(539\) 16.6706 4.46686i 0.718052 0.192401i
\(540\) 10.4265 + 5.76882i 0.448685 + 0.248251i
\(541\) 29.6359 + 29.6359i 1.27415 + 1.27415i 0.943891 + 0.330258i \(0.107136\pi\)
0.330258 + 0.943891i \(0.392864\pi\)
\(542\) 3.52791i 0.151537i
\(543\) 8.02872 0.751631i 0.344545 0.0322556i
\(544\) −2.78540 2.78540i −0.119423 0.119423i
\(545\) −3.42645 + 5.93478i −0.146773 + 0.254218i
\(546\) −26.0135 + 0.648786i −1.11328 + 0.0277655i
\(547\) −11.2632 19.5084i −0.481580 0.834120i 0.518197 0.855261i \(-0.326603\pi\)
−0.999777 + 0.0211411i \(0.993270\pi\)
\(548\) −4.01336 + 14.9781i −0.171442 + 0.639831i
\(549\) −34.2615 + 6.47169i −1.46225 + 0.276205i
\(550\) −0.373492 0.215636i −0.0159258 0.00919474i
\(551\) −4.60048 + 17.1692i −0.195987 + 0.731433i
\(552\) 6.76402 + 5.60597i 0.287896 + 0.238606i
\(553\) 17.5414 65.4655i 0.745937 2.78387i
\(554\) 5.68146 + 21.2035i 0.241382 + 0.900850i
\(555\) −18.6392 + 1.74496i −0.791188 + 0.0740692i
\(556\) −15.4880 8.94201i −0.656838 0.379226i
\(557\) 43.1111 + 11.5516i 1.82668 + 0.489457i 0.997572 0.0696359i \(-0.0221838\pi\)
0.829105 + 0.559093i \(0.188850\pi\)
\(558\) 4.61422 + 5.36517i 0.195336 + 0.227126i
\(559\) 15.9400 7.80214i 0.674189 0.329996i
\(560\) −8.27525 + 4.77772i −0.349693 + 0.201896i
\(561\) 1.90522 11.2029i 0.0804385 0.472986i
\(562\) 1.28538 0.0542207
\(563\) 0.917730 + 1.58956i 0.0386777 + 0.0669918i 0.884716 0.466130i \(-0.154352\pi\)
−0.846039 + 0.533122i \(0.821019\pi\)
\(564\) 2.73836 + 7.38361i 0.115306 + 0.310906i
\(565\) 30.2334 30.2334i 1.27193 1.27193i
\(566\) −3.21417 11.9955i −0.135102 0.504206i
\(567\) 34.3629 + 15.0176i 1.44310 + 0.630679i
\(568\) −7.01918 + 12.1576i −0.294518 + 0.510121i
\(569\) 2.95160 5.11231i 0.123737 0.214319i −0.797501 0.603317i \(-0.793845\pi\)
0.921239 + 0.388998i \(0.127179\pi\)
\(570\) −8.60297 + 10.3801i −0.360339 + 0.434776i
\(571\) −6.53279 3.77171i −0.273389 0.157841i 0.357038 0.934090i \(-0.383787\pi\)
−0.630427 + 0.776249i \(0.717120\pi\)
\(572\) 1.94714 5.68078i 0.0814140 0.237525i
\(573\) 14.8675 1.39186i 0.621097 0.0581457i
\(574\) 4.40588 + 16.4430i 0.183898 + 0.686317i
\(575\) 1.13740 0.656679i 0.0474329 0.0273854i
\(576\) 0.556826 + 2.94787i 0.0232011 + 0.122828i
\(577\) −9.95468 + 9.95468i −0.414419 + 0.414419i −0.883275 0.468856i \(-0.844666\pi\)
0.468856 + 0.883275i \(0.344666\pi\)
\(578\) 1.04867 + 1.04867i 0.0436190 + 0.0436190i
\(579\) 19.0066 22.9329i 0.789888 0.953058i
\(580\) 11.6001 3.10824i 0.481668 0.129063i
\(581\) −28.2401 + 16.3044i −1.17159 + 0.676421i
\(582\) −13.4786 6.18569i −0.558705 0.256405i
\(583\) −10.7722 + 2.88640i −0.446139 + 0.119542i
\(584\) 9.35088 0.386942
\(585\) 19.4871 + 15.3475i 0.805694 + 0.634543i
\(586\) 8.16192 0.337166
\(587\) −7.62913 + 2.04422i −0.314888 + 0.0843739i −0.412802 0.910821i \(-0.635450\pi\)
0.0979138 + 0.995195i \(0.468783\pi\)
\(588\) −14.6391 + 10.3836i −0.603706 + 0.428212i
\(589\) −6.93365 + 4.00315i −0.285696 + 0.164947i
\(590\) 19.1824 5.13992i 0.789728 0.211607i
\(591\) −15.9051 2.70491i −0.654250 0.111265i
\(592\) −3.33270 3.33270i −0.136973 0.136973i
\(593\) 17.4187 17.4187i 0.715300 0.715300i −0.252339 0.967639i \(-0.581200\pi\)
0.967639 + 0.252339i \(0.0811998\pi\)
\(594\) −6.00699 + 6.23019i −0.246470 + 0.255628i
\(595\) −32.5975 + 18.8202i −1.33637 + 0.771552i
\(596\) 1.06319 + 3.96787i 0.0435499 + 0.162530i
\(597\) 4.91837 10.7171i 0.201296 0.438622i
\(598\) 12.0172 + 13.7851i 0.491420 + 0.563715i
\(599\) 41.2663 + 23.8251i 1.68610 + 0.973468i 0.957460 + 0.288566i \(0.0931783\pi\)
0.728635 + 0.684902i \(0.240155\pi\)
\(600\) 0.442144 + 0.0751934i 0.0180504 + 0.00306976i
\(601\) 14.5212 25.1515i 0.592334 1.02595i −0.401583 0.915822i \(-0.631540\pi\)
0.993917 0.110130i \(-0.0351267\pi\)
\(602\) 10.2548 17.7618i 0.417953 0.723915i
\(603\) 23.4754 34.4092i 0.955991 1.40125i
\(604\) 0.919034 + 3.42988i 0.0373949 + 0.139560i
\(605\) −13.3389 + 13.3389i −0.542304 + 0.542304i
\(606\) −28.6032 4.86441i −1.16192 0.197603i
\(607\) 8.21069 + 14.2213i 0.333262 + 0.577226i 0.983149 0.182804i \(-0.0585174\pi\)
−0.649888 + 0.760030i \(0.725184\pi\)
\(608\) −3.39420 −0.137653
\(609\) 35.4362 13.1422i 1.43595 0.532550i
\(610\) −23.0822 + 13.3265i −0.934572 + 0.539575i
\(611\) 3.15054 + 16.0876i 0.127457 + 0.650835i
\(612\) 2.19343 + 11.6121i 0.0886640 + 0.469392i
\(613\) −19.6188 5.25684i −0.792396 0.212322i −0.160153 0.987092i \(-0.551199\pi\)
−0.632243 + 0.774770i \(0.717865\pi\)
\(614\) 17.6605 + 10.1963i 0.712719 + 0.411488i
\(615\) 6.76840 14.7483i 0.272928 0.594709i
\(616\) −1.79620 6.70351i −0.0723710 0.270092i
\(617\) −8.27870 + 30.8965i −0.333288 + 1.24385i 0.572425 + 0.819957i \(0.306003\pi\)
−0.905713 + 0.423891i \(0.860664\pi\)
\(618\) −2.53212 + 14.8891i −0.101857 + 0.598927i
\(619\) −9.90270 + 36.9574i −0.398023 + 1.48544i 0.418546 + 0.908196i \(0.362540\pi\)
−0.816569 + 0.577247i \(0.804127\pi\)
\(620\) 4.68461 + 2.70466i 0.188139 + 0.108622i
\(621\) −7.28442 25.3288i −0.292314 1.01641i
\(622\) 1.32468 4.94377i 0.0531148 0.198227i
\(623\) 19.3241 + 33.4704i 0.774205 + 1.34096i
\(624\) 0.155704 + 6.24306i 0.00623315 + 0.249922i
\(625\) −13.1138 + 22.7138i −0.524553 + 0.908552i
\(626\) 3.56862 + 3.56862i 0.142631 + 0.142631i
\(627\) −5.66490 7.98654i −0.226234 0.318952i
\(628\) 8.22860i 0.328357i
\(629\) −13.1280 13.1280i −0.523449 0.523449i
\(630\) 28.5855 + 2.15105i 1.13887 + 0.0856998i
\(631\) 16.0911 4.31160i 0.640577 0.171642i 0.0761122 0.997099i \(-0.475749\pi\)
0.564465 + 0.825457i \(0.309083\pi\)
\(632\) −15.7112 4.20981i −0.624960 0.167457i
\(633\) −2.79960 29.9046i −0.111274 1.18860i
\(634\) 6.34943i 0.252168i
\(635\) −27.4046 + 27.4046i −1.08752 + 1.08752i
\(636\) 9.45949 6.70968i 0.375093 0.266056i
\(637\) −33.5571 + 16.4252i −1.32958 + 0.650789i
\(638\) 8.72220i 0.345315i
\(639\) 37.9500 18.2614i 1.50128 0.722408i
\(640\) 1.14662 + 1.98600i 0.0453241 + 0.0785036i
\(641\) −31.7007 −1.25210 −0.626051 0.779782i \(-0.715330\pi\)
−0.626051 + 0.779782i \(0.715330\pi\)
\(642\) 13.5562 + 11.2353i 0.535022 + 0.443422i
\(643\) −1.39852 0.374733i −0.0551524 0.0147780i 0.231137 0.972921i \(-0.425755\pi\)
−0.286290 + 0.958143i \(0.592422\pi\)
\(644\) 20.4143 + 5.46999i 0.804436 + 0.215548i
\(645\) −18.3307 + 6.79831i −0.721770 + 0.267683i
\(646\) −13.3703 −0.526047
\(647\) −9.55687 16.5530i −0.375719 0.650765i 0.614715 0.788749i \(-0.289271\pi\)
−0.990434 + 0.137984i \(0.955938\pi\)
\(648\) 3.60411 8.24684i 0.141583 0.323966i
\(649\) 14.4234i 0.566168i
\(650\) 0.883172 + 0.302715i 0.0346409 + 0.0118735i
\(651\) 15.4723 + 7.10064i 0.606405 + 0.278296i
\(652\) −10.8941 + 10.8941i −0.426644 + 0.426644i
\(653\) 42.3769i 1.65834i −0.558998 0.829169i \(-0.688814\pi\)
0.558998 0.829169i \(-0.311186\pi\)
\(654\) 4.70417 + 2.15887i 0.183948 + 0.0844186i
\(655\) −25.0291 6.70653i −0.977968 0.262046i
\(656\) 3.94620 1.05738i 0.154073 0.0412838i
\(657\) −23.1733 15.8098i −0.904077 0.616797i
\(658\) 13.3961 + 13.3961i 0.522235 + 0.522235i
\(659\) 7.55088i 0.294141i 0.989126 + 0.147070i \(0.0469844\pi\)
−0.989126 + 0.147070i \(0.953016\pi\)
\(660\) −2.75935 + 6.01262i −0.107408 + 0.234041i
\(661\) 12.5495 + 12.5495i 0.488119 + 0.488119i 0.907712 0.419593i \(-0.137827\pi\)
−0.419593 + 0.907712i \(0.637827\pi\)
\(662\) 1.43579 2.48687i 0.0558037 0.0966549i
\(663\) 0.613343 + 24.5924i 0.0238203 + 0.955089i
\(664\) 3.91294 + 6.77741i 0.151852 + 0.263015i
\(665\) −8.39430 + 31.3279i −0.325517 + 1.21485i
\(666\) 2.62441 + 13.8938i 0.101694 + 0.538373i
\(667\) −23.0032 13.2809i −0.890688 0.514239i
\(668\) −0.876603 + 3.27153i −0.0339168 + 0.126579i
\(669\) 43.5289 16.1436i 1.68293 0.624147i
\(670\) 8.24109 30.7562i 0.318381 1.18821i
\(671\) −5.01015 18.6981i −0.193415 0.721834i
\(672\) 4.17542 + 5.88662i 0.161070 + 0.227081i
\(673\) 0.980093 + 0.565857i 0.0377798 + 0.0218122i 0.518771 0.854913i \(-0.326390\pi\)
−0.480991 + 0.876725i \(0.659723\pi\)
\(674\) 12.7657 + 3.42056i 0.491716 + 0.131755i
\(675\) −0.968587 0.933887i −0.0372810 0.0359453i
\(676\) −1.77313 + 12.8785i −0.0681972 + 0.495327i
\(677\) 6.04206 3.48838i 0.232215 0.134070i −0.379378 0.925242i \(-0.623862\pi\)
0.611594 + 0.791172i \(0.290529\pi\)
\(678\) −24.8639 20.6070i −0.954893 0.791408i
\(679\) −35.6770 −1.36916
\(680\) 4.51671 + 7.82317i 0.173208 + 0.300005i
\(681\) 7.58613 9.15323i 0.290701 0.350753i
\(682\) −2.77802 + 2.77802i −0.106376 + 0.106376i
\(683\) −0.848566 3.16689i −0.0324695 0.121178i 0.947789 0.318898i \(-0.103313\pi\)
−0.980258 + 0.197721i \(0.936646\pi\)
\(684\) 8.41149 + 5.73866i 0.321621 + 0.219423i
\(685\) 17.7800 30.7958i 0.679337 1.17665i
\(686\) −7.00468 + 12.1325i −0.267440 + 0.463219i
\(687\) −10.7373 28.9516i −0.409653 1.10457i
\(688\) −4.26269 2.46107i −0.162514 0.0938273i
\(689\) 21.6839 10.6136i 0.826091 0.404347i
\(690\) −11.6556 16.4324i −0.443723 0.625573i
\(691\) −1.83951 6.86513i −0.0699781 0.261162i 0.922070 0.387024i \(-0.126497\pi\)
−0.992048 + 0.125862i \(0.959830\pi\)
\(692\) −7.44014 + 4.29557i −0.282832 + 0.163293i
\(693\) −6.88245 + 19.6495i −0.261443 + 0.746422i
\(694\) 2.82191 2.82191i 0.107118 0.107118i
\(695\) 29.0001 + 29.0001i 1.10004 + 1.10004i
\(696\) −3.15404 8.50444i −0.119554 0.322360i
\(697\) 15.5447 4.16519i 0.588797 0.157768i
\(698\) −14.0231 + 8.09625i −0.530783 + 0.306448i
\(699\) 2.22969 + 23.8170i 0.0843347 + 0.900841i
\(700\) 1.04217 0.279249i 0.0393904 0.0105546i
\(701\) −44.5315 −1.68193 −0.840966 0.541088i \(-0.818013\pi\)
−0.840966 + 0.541088i \(0.818013\pi\)
\(702\) 10.1694 15.7348i 0.383820 0.593870i
\(703\) −15.9974 −0.603353
\(704\) −1.60879 + 0.431075i −0.0606337 + 0.0162468i
\(705\) −1.68331 17.9807i −0.0633973 0.677193i
\(706\) 1.53760 0.887736i 0.0578685 0.0334104i
\(707\) −67.4202 + 18.0652i −2.53560 + 0.679411i
\(708\) −5.21566 14.0633i −0.196016 0.528531i
\(709\) −3.89552 3.89552i −0.146299 0.146299i 0.630163 0.776463i \(-0.282988\pi\)
−0.776463 + 0.630163i \(0.782988\pi\)
\(710\) 22.7641 22.7641i 0.854321 0.854321i
\(711\) 31.8179 + 36.9961i 1.19326 + 1.38746i
\(712\) 8.03265 4.63765i 0.301036 0.173803i
\(713\) −3.09656 11.5565i −0.115967 0.432795i
\(714\) 16.4476 + 23.1883i 0.615537 + 0.867801i
\(715\) −7.68484 + 11.4278i −0.287397 + 0.427375i
\(716\) −8.70818 5.02767i −0.325440 0.187893i
\(717\) 13.3759 + 36.0662i 0.499532 + 1.34692i
\(718\) 3.82116 6.61845i 0.142605 0.246998i
\(719\) −0.0565881 + 0.0980135i −0.00211038 + 0.00365529i −0.867079 0.498171i \(-0.834005\pi\)
0.864968 + 0.501827i \(0.167338\pi\)
\(720\) 0.516236 6.86032i 0.0192390 0.255669i
\(721\) 9.40365 + 35.0949i 0.350210 + 1.30700i
\(722\) 5.28874 5.28874i 0.196826 0.196826i
\(723\) −10.9869 + 13.2565i −0.408606 + 0.493013i
\(724\) −2.32783 4.03191i −0.0865130 0.149845i
\(725\) −1.35601 −0.0503610
\(726\) 10.9699 + 9.09177i 0.407131 + 0.337427i
\(727\) 6.21671 3.58922i 0.230565 0.133117i −0.380268 0.924876i \(-0.624168\pi\)
0.610833 + 0.791760i \(0.290835\pi\)
\(728\) 6.60484 + 13.4939i 0.244792 + 0.500115i
\(729\) −22.8748 + 14.3437i −0.847216 + 0.531249i
\(730\) −20.7131 5.55006i −0.766626 0.205417i
\(731\) −16.7914 9.69453i −0.621053 0.358565i
\(732\) 11.6465 + 16.4196i 0.430468 + 0.606886i
\(733\) 3.64360 + 13.5981i 0.134579 + 0.502257i 0.999999 + 0.00120982i \(0.000385098\pi\)
−0.865420 + 0.501047i \(0.832948\pi\)
\(734\) −5.93100 + 22.1348i −0.218917 + 0.817009i
\(735\) 38.5900 14.3119i 1.42341 0.527902i
\(736\) 1.31276 4.89928i 0.0483889 0.180590i
\(737\) 20.0275 + 11.5629i 0.737723 + 0.425924i
\(738\) −11.5672 4.05154i −0.425794 0.149139i
\(739\) 0.395975 1.47780i 0.0145662 0.0543618i −0.958260 0.285897i \(-0.907708\pi\)
0.972826 + 0.231536i \(0.0743750\pi\)
\(740\) 5.40419 + 9.36033i 0.198662 + 0.344093i
\(741\) 15.3574 + 14.6100i 0.564169 + 0.536713i
\(742\) 13.9500 24.1622i 0.512122 0.887021i
\(743\) −28.1201 28.1201i −1.03163 1.03163i −0.999483 0.0321446i \(-0.989766\pi\)
−0.0321446 0.999483i \(-0.510234\pi\)
\(744\) 1.70410 3.71323i 0.0624754 0.136134i
\(745\) 9.42025i 0.345131i
\(746\) 8.75107 + 8.75107i 0.320400 + 0.320400i
\(747\) 1.76170 23.4115i 0.0644573 0.856580i
\(748\) −6.33729 + 1.69807i −0.231714 + 0.0620877i
\(749\) 40.9137 + 10.9628i 1.49495 + 0.400572i
\(750\) 17.1152 + 7.85464i 0.624959 + 0.286811i
\(751\) 4.17861i 0.152480i 0.997090 + 0.0762399i \(0.0242915\pi\)
−0.997090 + 0.0762399i \(0.975709\pi\)
\(752\) 3.21497 3.21497i 0.117238 0.117238i
\(753\) 13.5610 + 6.22349i 0.494189 + 0.226797i
\(754\) −3.62879 18.5297i −0.132153 0.674812i
\(755\) 8.14299i 0.296354i
\(756\) −0.394845 21.6477i −0.0143604 0.787318i
\(757\) 13.7536 + 23.8220i 0.499884 + 0.865824i 1.00000 0.000134418i \(-4.27865e-5\pi\)
−0.500116 + 0.865958i \(0.666709\pi\)
\(758\) −16.2113 −0.588821
\(759\) 13.7190 5.08796i 0.497968 0.184681i
\(760\) 7.51848 + 2.01457i 0.272724 + 0.0730762i
\(761\) −41.1552 11.0275i −1.49187 0.399746i −0.581505 0.813543i \(-0.697536\pi\)
−0.910369 + 0.413797i \(0.864202\pi\)
\(762\) 22.5375 + 18.6789i 0.816446 + 0.676665i
\(763\) 12.4516 0.450780
\(764\) −4.31063 7.46624i −0.155953 0.270119i
\(765\) 2.03353 27.0239i 0.0735226 0.977050i
\(766\) 7.27039i 0.262690i
\(767\) −6.00073 30.6415i −0.216674 1.10640i
\(768\) 1.41275 1.00207i 0.0509781 0.0361591i
\(769\) −0.716149 + 0.716149i −0.0258250 + 0.0258250i −0.719901 0.6