Properties

Label 60.2.j.a.7.2
Level $60$
Weight $2$
Character 60.7
Analytic conductor $0.479$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 60 = 2^{2} \cdot 3 \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 60.j (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.479102412128\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(i)\)
Coefficient field: 12.0.426337261060096.1
Defining polynomial: \(x^{12} - 4 x^{9} - 3 x^{8} + 4 x^{7} + 8 x^{6} + 8 x^{5} - 12 x^{4} - 32 x^{3} + 64\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 7.2
Root \(1.19252 + 0.760198i\) of defining polynomial
Character \(\chi\) \(=\) 60.7
Dual form 60.2.j.a.43.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.19252 + 0.760198i) q^{2} +(0.707107 + 0.707107i) q^{3} +(0.844199 - 1.81310i) q^{4} +(0.432320 + 2.19388i) q^{5} +(-1.38078 - 0.305697i) q^{6} +(-0.611393 + 0.611393i) q^{7} +(0.371591 + 2.80391i) q^{8} +1.00000i q^{9} +O(q^{10})\) \(q+(-1.19252 + 0.760198i) q^{2} +(0.707107 + 0.707107i) q^{3} +(0.844199 - 1.81310i) q^{4} +(0.432320 + 2.19388i) q^{5} +(-1.38078 - 0.305697i) q^{6} +(-0.611393 + 0.611393i) q^{7} +(0.371591 + 2.80391i) q^{8} +1.00000i q^{9} +(-2.18333 - 2.28759i) q^{10} -5.12822i q^{11} +(1.87899 - 0.685116i) q^{12} +(1.76156 - 1.76156i) q^{13} +(0.264318 - 1.19388i) q^{14} +(-1.24561 + 1.85700i) q^{15} +(-2.57466 - 3.06123i) q^{16} +(-3.76156 - 3.76156i) q^{17} +(-0.760198 - 1.19252i) q^{18} +1.22279 q^{19} +(4.34268 + 1.06823i) q^{20} -0.864641 q^{21} +(3.89846 + 6.11549i) q^{22} +(1.07700 + 1.07700i) q^{23} +(-1.71991 + 2.24542i) q^{24} +(-4.62620 + 1.89692i) q^{25} +(-0.761557 + 3.43982i) q^{26} +(-0.707107 + 0.707107i) q^{27} +(0.592379 + 1.62465i) q^{28} -0.864641i q^{29} +(0.0737224 - 3.16142i) q^{30} +7.81086i q^{31} +(5.39747 + 1.69333i) q^{32} +(3.62620 - 3.62620i) q^{33} +(7.34525 + 1.62620i) q^{34} +(-1.60564 - 1.07700i) q^{35} +(1.81310 + 0.844199i) q^{36} +(-1.76156 - 1.76156i) q^{37} +(-1.45820 + 0.929560i) q^{38} +2.49122 q^{39} +(-5.99079 + 2.02741i) q^{40} +5.52311 q^{41} +(1.03110 - 0.657298i) q^{42} +(-6.20522 - 6.20522i) q^{43} +(-9.29797 - 4.32924i) q^{44} +(-2.19388 + 0.432320i) q^{45} +(-2.10308 - 0.465611i) q^{46} +(-2.29979 + 2.29979i) q^{47} +(0.344061 - 3.98518i) q^{48} +6.25240i q^{49} +(4.07479 - 5.77893i) q^{50} -5.31965i q^{51} +(-1.70677 - 4.68098i) q^{52} +(-2.62620 + 2.62620i) q^{53} +(0.305697 - 1.38078i) q^{54} +(11.2507 - 2.21703i) q^{55} +(-1.94148 - 1.48710i) q^{56} +(0.864641 + 0.864641i) q^{57} +(0.657298 + 1.03110i) q^{58} +0.528636 q^{59} +(2.31539 + 3.82609i) q^{60} +4.98168 q^{61} +(-5.93780 - 9.31460i) q^{62} +(-0.611393 - 0.611393i) q^{63} +(-7.72384 + 2.08382i) q^{64} +(4.62620 + 3.10308i) q^{65} +(-1.56768 + 7.08093i) q^{66} +(6.20522 - 6.20522i) q^{67} +(-9.99558 + 3.64457i) q^{68} +1.52311i q^{69} +(2.73349 + 0.0637434i) q^{70} +8.10243i q^{71} +(-2.80391 + 0.371591i) q^{72} +(-2.25240 + 2.25240i) q^{73} +(3.43982 + 0.761557i) q^{74} +(-4.61254 - 1.92989i) q^{75} +(1.03228 - 2.21703i) q^{76} +(3.13536 + 3.13536i) q^{77} +(-2.97082 + 1.89382i) q^{78} -15.9133 q^{79} +(5.60289 - 6.97191i) q^{80} -1.00000 q^{81} +(-6.58641 + 4.19866i) q^{82} +(7.95665 + 7.95665i) q^{83} +(-0.729929 + 1.56768i) q^{84} +(6.62620 - 9.87859i) q^{85} +(12.1170 + 2.68264i) q^{86} +(0.611393 - 0.611393i) q^{87} +(14.3791 - 1.90560i) q^{88} -7.25240i q^{89} +(2.28759 - 2.18333i) q^{90} +2.15401i q^{91} +(2.86192 - 1.04351i) q^{92} +(-5.52311 + 5.52311i) q^{93} +(0.994247 - 4.49084i) q^{94} +(0.528636 + 2.68264i) q^{95} +(2.61922 + 5.01395i) q^{96} +(0.793833 + 0.793833i) q^{97} +(-4.75306 - 7.45610i) q^{98} +5.12822 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q - 4q^{6} - 12q^{8} + O(q^{10}) \) \( 12q - 4q^{6} - 12q^{8} - 8q^{10} - 8q^{12} - 4q^{13} + 12q^{16} - 20q^{17} + 20q^{20} + 12q^{22} - 20q^{25} + 16q^{26} - 4q^{28} + 8q^{30} + 20q^{32} + 8q^{33} + 4q^{36} + 4q^{37} + 16q^{38} - 8q^{40} + 16q^{41} + 20q^{42} + 4q^{45} - 40q^{46} + 16q^{48} - 16q^{50} - 8q^{52} + 4q^{53} - 64q^{56} - 20q^{58} - 20q^{60} - 32q^{61} - 56q^{62} + 20q^{65} - 24q^{66} - 16q^{68} + 44q^{70} - 12q^{72} + 44q^{73} + 8q^{76} + 48q^{77} - 24q^{78} + 4q^{80} - 12q^{81} + 16q^{82} + 44q^{85} + 64q^{86} + 60q^{88} + 12q^{90} + 56q^{92} - 16q^{93} + 44q^{96} - 20q^{97} + 24q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/60\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(37\) \(41\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{4}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.19252 + 0.760198i −0.843238 + 0.537541i
\(3\) 0.707107 + 0.707107i 0.408248 + 0.408248i
\(4\) 0.844199 1.81310i 0.422099 0.906550i
\(5\) 0.432320 + 2.19388i 0.193340 + 0.981132i
\(6\) −1.38078 0.305697i −0.563700 0.124800i
\(7\) −0.611393 + 0.611393i −0.231085 + 0.231085i −0.813145 0.582060i \(-0.802247\pi\)
0.582060 + 0.813145i \(0.302247\pi\)
\(8\) 0.371591 + 2.80391i 0.131377 + 0.991332i
\(9\) 1.00000i 0.333333i
\(10\) −2.18333 2.28759i −0.690430 0.723399i
\(11\) 5.12822i 1.54622i −0.634274 0.773108i \(-0.718701\pi\)
0.634274 0.773108i \(-0.281299\pi\)
\(12\) 1.87899 0.685116i 0.542419 0.197776i
\(13\) 1.76156 1.76156i 0.488568 0.488568i −0.419286 0.907854i \(-0.637720\pi\)
0.907854 + 0.419286i \(0.137720\pi\)
\(14\) 0.264318 1.19388i 0.0706419 0.319077i
\(15\) −1.24561 + 1.85700i −0.321615 + 0.479476i
\(16\) −2.57466 3.06123i −0.643664 0.765308i
\(17\) −3.76156 3.76156i −0.912312 0.912312i 0.0841421 0.996454i \(-0.473185\pi\)
−0.996454 + 0.0841421i \(0.973185\pi\)
\(18\) −0.760198 1.19252i −0.179180 0.281079i
\(19\) 1.22279 0.280527 0.140263 0.990114i \(-0.455205\pi\)
0.140263 + 0.990114i \(0.455205\pi\)
\(20\) 4.34268 + 1.06823i 0.971053 + 0.238863i
\(21\) −0.864641 −0.188680
\(22\) 3.89846 + 6.11549i 0.831154 + 1.30383i
\(23\) 1.07700 + 1.07700i 0.224571 + 0.224571i 0.810420 0.585849i \(-0.199239\pi\)
−0.585849 + 0.810420i \(0.699239\pi\)
\(24\) −1.71991 + 2.24542i −0.351075 + 0.458344i
\(25\) −4.62620 + 1.89692i −0.925240 + 0.379383i
\(26\) −0.761557 + 3.43982i −0.149354 + 0.674604i
\(27\) −0.707107 + 0.707107i −0.136083 + 0.136083i
\(28\) 0.592379 + 1.62465i 0.111949 + 0.307031i
\(29\) 0.864641i 0.160560i −0.996772 0.0802799i \(-0.974419\pi\)
0.996772 0.0802799i \(-0.0255814\pi\)
\(30\) 0.0737224 3.16142i 0.0134598 0.577193i
\(31\) 7.81086i 1.40287i 0.712732 + 0.701436i \(0.247457\pi\)
−0.712732 + 0.701436i \(0.752543\pi\)
\(32\) 5.39747 + 1.69333i 0.954146 + 0.299341i
\(33\) 3.62620 3.62620i 0.631240 0.631240i
\(34\) 7.34525 + 1.62620i 1.25970 + 0.278891i
\(35\) −1.60564 1.07700i −0.271403 0.182047i
\(36\) 1.81310 + 0.844199i 0.302183 + 0.140700i
\(37\) −1.76156 1.76156i −0.289598 0.289598i 0.547323 0.836921i \(-0.315647\pi\)
−0.836921 + 0.547323i \(0.815647\pi\)
\(38\) −1.45820 + 0.929560i −0.236551 + 0.150795i
\(39\) 2.49122 0.398914
\(40\) −5.99079 + 2.02741i −0.947227 + 0.320562i
\(41\) 5.52311 0.862566 0.431283 0.902217i \(-0.358061\pi\)
0.431283 + 0.902217i \(0.358061\pi\)
\(42\) 1.03110 0.657298i 0.159102 0.101423i
\(43\) −6.20522 6.20522i −0.946288 0.946288i 0.0523416 0.998629i \(-0.483332\pi\)
−0.998629 + 0.0523416i \(0.983332\pi\)
\(44\) −9.29797 4.32924i −1.40172 0.652657i
\(45\) −2.19388 + 0.432320i −0.327044 + 0.0644465i
\(46\) −2.10308 0.465611i −0.310083 0.0686506i
\(47\) −2.29979 + 2.29979i −0.335459 + 0.335459i −0.854655 0.519196i \(-0.826231\pi\)
0.519196 + 0.854655i \(0.326231\pi\)
\(48\) 0.344061 3.98518i 0.0496610 0.575210i
\(49\) 6.25240i 0.893199i
\(50\) 4.07479 5.77893i 0.576263 0.817264i
\(51\) 5.31965i 0.744899i
\(52\) −1.70677 4.68098i −0.236687 0.649135i
\(53\) −2.62620 + 2.62620i −0.360736 + 0.360736i −0.864084 0.503348i \(-0.832101\pi\)
0.503348 + 0.864084i \(0.332101\pi\)
\(54\) 0.305697 1.38078i 0.0416001 0.187900i
\(55\) 11.2507 2.21703i 1.51704 0.298945i
\(56\) −1.94148 1.48710i −0.259441 0.198723i
\(57\) 0.864641 + 0.864641i 0.114524 + 0.114524i
\(58\) 0.657298 + 1.03110i 0.0863075 + 0.135390i
\(59\) 0.528636 0.0688225 0.0344113 0.999408i \(-0.489044\pi\)
0.0344113 + 0.999408i \(0.489044\pi\)
\(60\) 2.31539 + 3.82609i 0.298915 + 0.493946i
\(61\) 4.98168 0.637838 0.318919 0.947782i \(-0.396680\pi\)
0.318919 + 0.947782i \(0.396680\pi\)
\(62\) −5.93780 9.31460i −0.754101 1.18295i
\(63\) −0.611393 0.611393i −0.0770283 0.0770283i
\(64\) −7.72384 + 2.08382i −0.965480 + 0.260477i
\(65\) 4.62620 + 3.10308i 0.573809 + 0.384890i
\(66\) −1.56768 + 7.08093i −0.192968 + 0.871603i
\(67\) 6.20522 6.20522i 0.758089 0.758089i −0.217886 0.975974i \(-0.569916\pi\)
0.975974 + 0.217886i \(0.0699160\pi\)
\(68\) −9.99558 + 3.64457i −1.21214 + 0.441969i
\(69\) 1.52311i 0.183361i
\(70\) 2.73349 + 0.0637434i 0.326715 + 0.00761879i
\(71\) 8.10243i 0.961581i 0.876835 + 0.480791i \(0.159650\pi\)
−0.876835 + 0.480791i \(0.840350\pi\)
\(72\) −2.80391 + 0.371591i −0.330444 + 0.0437924i
\(73\) −2.25240 + 2.25240i −0.263623 + 0.263623i −0.826524 0.562901i \(-0.809685\pi\)
0.562901 + 0.826524i \(0.309685\pi\)
\(74\) 3.43982 + 0.761557i 0.399871 + 0.0885292i
\(75\) −4.61254 1.92989i −0.532610 0.222845i
\(76\) 1.03228 2.21703i 0.118410 0.254311i
\(77\) 3.13536 + 3.13536i 0.357307 + 0.357307i
\(78\) −2.97082 + 1.89382i −0.336379 + 0.214433i
\(79\) −15.9133 −1.79039 −0.895193 0.445680i \(-0.852962\pi\)
−0.895193 + 0.445680i \(0.852962\pi\)
\(80\) 5.60289 6.97191i 0.626423 0.779484i
\(81\) −1.00000 −0.111111
\(82\) −6.58641 + 4.19866i −0.727348 + 0.463664i
\(83\) 7.95665 + 7.95665i 0.873355 + 0.873355i 0.992836 0.119481i \(-0.0381231\pi\)
−0.119481 + 0.992836i \(0.538123\pi\)
\(84\) −0.729929 + 1.56768i −0.0796418 + 0.171048i
\(85\) 6.62620 9.87859i 0.718712 1.07148i
\(86\) 12.1170 + 2.68264i 1.30661 + 0.289277i
\(87\) 0.611393 0.611393i 0.0655483 0.0655483i
\(88\) 14.3791 1.90560i 1.53281 0.203138i
\(89\) 7.25240i 0.768752i −0.923177 0.384376i \(-0.874417\pi\)
0.923177 0.384376i \(-0.125583\pi\)
\(90\) 2.28759 2.18333i 0.241133 0.230143i
\(91\) 2.15401i 0.225801i
\(92\) 2.86192 1.04351i 0.298376 0.108793i
\(93\) −5.52311 + 5.52311i −0.572720 + 0.572720i
\(94\) 0.994247 4.49084i 0.102549 0.463195i
\(95\) 0.528636 + 2.68264i 0.0542369 + 0.275234i
\(96\) 2.61922 + 5.01395i 0.267323 + 0.511734i
\(97\) 0.793833 + 0.793833i 0.0806015 + 0.0806015i 0.746258 0.665657i \(-0.231848\pi\)
−0.665657 + 0.746258i \(0.731848\pi\)
\(98\) −4.75306 7.45610i −0.480131 0.753179i
\(99\) 5.12822 0.515405
\(100\) −0.466135 + 9.98913i −0.0466135 + 0.998913i
\(101\) −10.1170 −1.00668 −0.503341 0.864088i \(-0.667896\pi\)
−0.503341 + 0.864088i \(0.667896\pi\)
\(102\) 4.04398 + 6.34377i 0.400414 + 0.628127i
\(103\) −3.82267 3.82267i −0.376659 0.376659i 0.493236 0.869895i \(-0.335814\pi\)
−0.869895 + 0.493236i \(0.835814\pi\)
\(104\) 5.59383 + 4.28467i 0.548520 + 0.420147i
\(105\) −0.373802 1.89692i −0.0364793 0.185120i
\(106\) 1.13536 5.12822i 0.110276 0.498097i
\(107\) −5.51107 + 5.51107i −0.532775 + 0.532775i −0.921397 0.388622i \(-0.872951\pi\)
0.388622 + 0.921397i \(0.372951\pi\)
\(108\) 0.685116 + 1.87899i 0.0659253 + 0.180806i
\(109\) 7.31695i 0.700836i −0.936593 0.350418i \(-0.886039\pi\)
0.936593 0.350418i \(-0.113961\pi\)
\(110\) −11.7313 + 11.1966i −1.11853 + 1.06755i
\(111\) 2.49122i 0.236456i
\(112\) 3.44575 + 0.297490i 0.325592 + 0.0281101i
\(113\) −0.509161 + 0.509161i −0.0478978 + 0.0478978i −0.730650 0.682752i \(-0.760783\pi\)
0.682752 + 0.730650i \(0.260783\pi\)
\(114\) −1.68840 0.373802i −0.158133 0.0350098i
\(115\) −1.89721 + 2.82843i −0.176915 + 0.263752i
\(116\) −1.56768 0.729929i −0.145555 0.0677722i
\(117\) 1.76156 + 1.76156i 0.162856 + 0.162856i
\(118\) −0.630408 + 0.401868i −0.0580337 + 0.0369949i
\(119\) 4.59958 0.421643
\(120\) −5.66973 2.80253i −0.517573 0.255835i
\(121\) −15.2986 −1.39078
\(122\) −5.94074 + 3.78706i −0.537849 + 0.342864i
\(123\) 3.90543 + 3.90543i 0.352141 + 0.352141i
\(124\) 14.1619 + 6.59392i 1.27177 + 0.592152i
\(125\) −6.16160 9.32924i −0.551110 0.834432i
\(126\) 1.19388 + 0.264318i 0.106359 + 0.0235473i
\(127\) 7.49103 7.49103i 0.664722 0.664722i −0.291767 0.956489i \(-0.594243\pi\)
0.956489 + 0.291767i \(0.0942433\pi\)
\(128\) 7.62671 8.35664i 0.674112 0.738629i
\(129\) 8.77551i 0.772641i
\(130\) −7.87578 0.183659i −0.690752 0.0161079i
\(131\) 13.9964i 1.22287i −0.791296 0.611434i \(-0.790593\pi\)
0.791296 0.611434i \(-0.209407\pi\)
\(132\) −3.51342 9.63589i −0.305804 0.838696i
\(133\) −0.747604 + 0.747604i −0.0648255 + 0.0648255i
\(134\) −2.68264 + 12.1170i −0.231745 + 1.04675i
\(135\) −1.85700 1.24561i −0.159825 0.107205i
\(136\) 9.14931 11.9448i 0.784547 1.02426i
\(137\) 7.01395 + 7.01395i 0.599242 + 0.599242i 0.940111 0.340869i \(-0.110721\pi\)
−0.340869 + 0.940111i \(0.610721\pi\)
\(138\) −1.15787 1.81634i −0.0985643 0.154617i
\(139\) 2.28006 0.193392 0.0966960 0.995314i \(-0.469173\pi\)
0.0966960 + 0.995314i \(0.469173\pi\)
\(140\) −3.30820 + 2.00198i −0.279594 + 0.169198i
\(141\) −3.25240 −0.273901
\(142\) −6.15945 9.66229i −0.516889 0.810842i
\(143\) −9.03365 9.03365i −0.755432 0.755432i
\(144\) 3.06123 2.57466i 0.255103 0.214555i
\(145\) 1.89692 0.373802i 0.157530 0.0310426i
\(146\) 0.973757 4.39829i 0.0805887 0.364005i
\(147\) −4.42111 + 4.42111i −0.364647 + 0.364647i
\(148\) −4.68098 + 1.70677i −0.384774 + 0.140296i
\(149\) 10.1170i 0.828820i 0.910090 + 0.414410i \(0.136012\pi\)
−0.910090 + 0.414410i \(0.863988\pi\)
\(150\) 6.96764 1.20501i 0.568905 0.0983885i
\(151\) 7.93691i 0.645897i 0.946417 + 0.322948i \(0.104674\pi\)
−0.946417 + 0.322948i \(0.895326\pi\)
\(152\) 0.454377 + 3.42859i 0.0368548 + 0.278095i
\(153\) 3.76156 3.76156i 0.304104 0.304104i
\(154\) −6.12247 1.35548i −0.493362 0.109228i
\(155\) −17.1361 + 3.37680i −1.37640 + 0.271231i
\(156\) 2.10308 4.51683i 0.168381 0.361635i
\(157\) 9.01395 + 9.01395i 0.719392 + 0.719392i 0.968481 0.249089i \(-0.0801311\pi\)
−0.249089 + 0.968481i \(0.580131\pi\)
\(158\) 18.9769 12.0972i 1.50972 0.962405i
\(159\) −3.71400 −0.294540
\(160\) −1.38152 + 12.5734i −0.109219 + 0.994018i
\(161\) −1.31695 −0.103790
\(162\) 1.19252 0.760198i 0.0936931 0.0597268i
\(163\) 13.0849 + 13.0849i 1.02489 + 1.02489i 0.999682 + 0.0252033i \(0.00802331\pi\)
0.0252033 + 0.999682i \(0.491977\pi\)
\(164\) 4.66261 10.0140i 0.364088 0.781958i
\(165\) 9.52311 + 6.38776i 0.741373 + 0.497286i
\(166\) −15.5371 3.43982i −1.20591 0.266982i
\(167\) 11.3334 11.3334i 0.877008 0.877008i −0.116216 0.993224i \(-0.537076\pi\)
0.993224 + 0.116216i \(0.0370765\pi\)
\(168\) −0.321293 2.42438i −0.0247883 0.187045i
\(169\) 6.79383i 0.522603i
\(170\) −0.392177 + 16.8176i −0.0300786 + 1.28985i
\(171\) 1.22279i 0.0935088i
\(172\) −16.4891 + 6.01224i −1.25728 + 0.458429i
\(173\) 7.96772 7.96772i 0.605775 0.605775i −0.336064 0.941839i \(-0.609096\pi\)
0.941839 + 0.336064i \(0.109096\pi\)
\(174\) −0.264318 + 1.19388i −0.0200379 + 0.0905076i
\(175\) 1.66866 3.98819i 0.126139 0.301479i
\(176\) −15.6987 + 13.2034i −1.18333 + 0.995244i
\(177\) 0.373802 + 0.373802i 0.0280967 + 0.0280967i
\(178\) 5.51325 + 8.64861i 0.413236 + 0.648241i
\(179\) 12.6475 0.945320 0.472660 0.881245i \(-0.343294\pi\)
0.472660 + 0.881245i \(0.343294\pi\)
\(180\) −1.06823 + 4.34268i −0.0796211 + 0.323684i
\(181\) 7.72928 0.574513 0.287256 0.957854i \(-0.407257\pi\)
0.287256 + 0.957854i \(0.407257\pi\)
\(182\) −1.63747 2.56869i −0.121378 0.190404i
\(183\) 3.52258 + 3.52258i 0.260396 + 0.260396i
\(184\) −2.61962 + 3.42003i −0.193121 + 0.252128i
\(185\) 3.10308 4.62620i 0.228143 0.340125i
\(186\) 2.38776 10.7851i 0.175079 0.790800i
\(187\) −19.2901 + 19.2901i −1.41063 + 1.41063i
\(188\) 2.22827 + 6.11123i 0.162513 + 0.445707i
\(189\) 0.864641i 0.0628934i
\(190\) −2.66975 2.79723i −0.193684 0.202933i
\(191\) 7.04516i 0.509770i −0.966971 0.254885i \(-0.917962\pi\)
0.966971 0.254885i \(-0.0820376\pi\)
\(192\) −6.93506 3.98810i −0.500495 0.287816i
\(193\) −11.5048 + 11.5048i −0.828133 + 0.828133i −0.987258 0.159125i \(-0.949133\pi\)
0.159125 + 0.987258i \(0.449133\pi\)
\(194\) −1.55013 0.343190i −0.111293 0.0246396i
\(195\) 1.07700 + 5.46543i 0.0771259 + 0.391387i
\(196\) 11.3362 + 5.27827i 0.809730 + 0.377019i
\(197\) 7.87859 + 7.87859i 0.561327 + 0.561327i 0.929684 0.368358i \(-0.120080\pi\)
−0.368358 + 0.929684i \(0.620080\pi\)
\(198\) −6.11549 + 3.89846i −0.434609 + 0.277051i
\(199\) 11.4792 0.813741 0.406870 0.913486i \(-0.366620\pi\)
0.406870 + 0.913486i \(0.366620\pi\)
\(200\) −7.03784 12.2666i −0.497650 0.867378i
\(201\) 8.77551 0.618977
\(202\) 12.0648 7.69095i 0.848873 0.541133i
\(203\) 0.528636 + 0.528636i 0.0371030 + 0.0371030i
\(204\) −9.64504 4.49084i −0.675288 0.314422i
\(205\) 2.38776 + 12.1170i 0.166768 + 0.846291i
\(206\) 7.46460 + 1.65262i 0.520083 + 0.115143i
\(207\) −1.07700 + 1.07700i −0.0748570 + 0.0748570i
\(208\) −9.92794 0.857132i −0.688379 0.0594314i
\(209\) 6.27072i 0.433755i
\(210\) 1.88780 + 1.97794i 0.130270 + 0.136491i
\(211\) 5.49134i 0.378039i −0.981973 0.189020i \(-0.939469\pi\)
0.981973 0.189020i \(-0.0605310\pi\)
\(212\) 2.54452 + 6.97859i 0.174759 + 0.479292i
\(213\) −5.72928 + 5.72928i −0.392564 + 0.392564i
\(214\) 2.38255 10.7616i 0.162868 0.735645i
\(215\) 10.9309 16.2961i 0.745478 1.11139i
\(216\) −2.24542 1.71991i −0.152781 0.117025i
\(217\) −4.77551 4.77551i −0.324183 0.324183i
\(218\) 5.56233 + 8.72559i 0.376728 + 0.590972i
\(219\) −3.18537 −0.215247
\(220\) 5.47811 22.2702i 0.369334 1.50146i
\(221\) −13.2524 −0.891453
\(222\) 1.89382 + 2.97082i 0.127105 + 0.199389i
\(223\) −10.8678 10.8678i −0.727764 0.727764i 0.242410 0.970174i \(-0.422062\pi\)
−0.970174 + 0.242410i \(0.922062\pi\)
\(224\) −4.33526 + 2.26469i −0.289662 + 0.151316i
\(225\) −1.89692 4.62620i −0.126461 0.308413i
\(226\) 0.220121 0.994247i 0.0146422 0.0661363i
\(227\) 4.98244 4.98244i 0.330696 0.330696i −0.522155 0.852851i \(-0.674872\pi\)
0.852851 + 0.522155i \(0.174872\pi\)
\(228\) 2.29761 0.837751i 0.152163 0.0554814i
\(229\) 25.7572i 1.70208i −0.525098 0.851041i \(-0.675972\pi\)
0.525098 0.851041i \(-0.324028\pi\)
\(230\) 0.112288 4.81520i 0.00740403 0.317505i
\(231\) 4.43407i 0.291740i
\(232\) 2.42438 0.321293i 0.159168 0.0210939i
\(233\) −0.715328 + 0.715328i −0.0468627 + 0.0468627i −0.730150 0.683287i \(-0.760550\pi\)
0.683287 + 0.730150i \(0.260550\pi\)
\(234\) −3.43982 0.761557i −0.224868 0.0497846i
\(235\) −6.03971 4.05121i −0.393987 0.264272i
\(236\) 0.446274 0.958469i 0.0290499 0.0623910i
\(237\) −11.2524 11.2524i −0.730922 0.730922i
\(238\) −5.48509 + 3.49659i −0.355545 + 0.226650i
\(239\) −26.9354 −1.74231 −0.871154 0.491009i \(-0.836628\pi\)
−0.871154 + 0.491009i \(0.836628\pi\)
\(240\) 8.89173 0.968044i 0.573959 0.0624870i
\(241\) 14.0925 0.907775 0.453887 0.891059i \(-0.350037\pi\)
0.453887 + 0.891059i \(0.350037\pi\)
\(242\) 18.2439 11.6300i 1.17276 0.747603i
\(243\) −0.707107 0.707107i −0.0453609 0.0453609i
\(244\) 4.20553 9.03228i 0.269231 0.578232i
\(245\) −13.7170 + 2.70304i −0.876346 + 0.172691i
\(246\) −7.62620 1.68840i −0.486229 0.107648i
\(247\) 2.15401 2.15401i 0.137056 0.137056i
\(248\) −21.9010 + 2.90245i −1.39071 + 0.184306i
\(249\) 11.2524i 0.713092i
\(250\) 14.4399 + 6.44125i 0.913259 + 0.407380i
\(251\) 17.2471i 1.08863i 0.838882 + 0.544314i \(0.183210\pi\)
−0.838882 + 0.544314i \(0.816790\pi\)
\(252\) −1.62465 + 0.592379i −0.102344 + 0.0373164i
\(253\) 5.52311 5.52311i 0.347235 0.347235i
\(254\) −3.23853 + 14.6279i −0.203203 + 0.917834i
\(255\) 11.6707 2.29979i 0.730844 0.144019i
\(256\) −2.74229 + 15.7632i −0.171393 + 0.985203i
\(257\) −15.0140 15.0140i −0.936545 0.936545i 0.0615588 0.998103i \(-0.480393\pi\)
−0.998103 + 0.0615588i \(0.980393\pi\)
\(258\) 6.67112 + 10.4650i 0.415326 + 0.651520i
\(259\) 2.15401 0.133844
\(260\) 9.53163 5.76814i 0.591127 0.357725i
\(261\) 0.864641 0.0535199
\(262\) 10.6400 + 16.6909i 0.657341 + 1.03117i
\(263\) −6.73386 6.73386i −0.415228 0.415228i 0.468327 0.883555i \(-0.344857\pi\)
−0.883555 + 0.468327i \(0.844857\pi\)
\(264\) 11.5150 + 8.82008i 0.708699 + 0.542838i
\(265\) −6.89692 4.62620i −0.423674 0.284185i
\(266\) 0.323204 1.45986i 0.0198169 0.0895096i
\(267\) 5.12822 5.12822i 0.313842 0.313842i
\(268\) −6.01224 16.4891i −0.367256 1.00723i
\(269\) 25.7047i 1.56724i 0.621238 + 0.783622i \(0.286630\pi\)
−0.621238 + 0.783622i \(0.713370\pi\)
\(270\) 3.16142 + 0.0737224i 0.192398 + 0.00448660i
\(271\) 0.931222i 0.0565677i −0.999600 0.0282839i \(-0.990996\pi\)
0.999600 0.0282839i \(-0.00900423\pi\)
\(272\) −1.83029 + 21.1997i −0.110977 + 1.28542i
\(273\) −1.52311 + 1.52311i −0.0921831 + 0.0921831i
\(274\) −13.6963 3.03228i −0.827421 0.183186i
\(275\) 9.72780 + 23.7242i 0.586608 + 1.43062i
\(276\) 2.76156 + 1.28581i 0.166226 + 0.0773968i
\(277\) −22.0602 22.0602i −1.32547 1.32547i −0.909277 0.416190i \(-0.863365\pi\)
−0.416190 0.909277i \(-0.636635\pi\)
\(278\) −2.71901 + 1.73330i −0.163075 + 0.103956i
\(279\) −7.81086 −0.467624
\(280\) 2.42318 4.90228i 0.144813 0.292967i
\(281\) 8.56934 0.511204 0.255602 0.966782i \(-0.417726\pi\)
0.255602 + 0.966782i \(0.417726\pi\)
\(282\) 3.87854 2.47246i 0.230964 0.147233i
\(283\) 11.5705 + 11.5705i 0.687796 + 0.687796i 0.961744 0.273949i \(-0.0883299\pi\)
−0.273949 + 0.961744i \(0.588330\pi\)
\(284\) 14.6905 + 6.84006i 0.871721 + 0.405883i
\(285\) −1.52311 + 2.27072i −0.0902215 + 0.134506i
\(286\) 17.6402 + 3.90543i 1.04308 + 0.230933i
\(287\) −3.37680 + 3.37680i −0.199326 + 0.199326i
\(288\) −1.69333 + 5.39747i −0.0997803 + 0.318049i
\(289\) 11.2986i 0.664625i
\(290\) −1.97794 + 1.88780i −0.116149 + 0.110855i
\(291\) 1.12265i 0.0658108i
\(292\) 2.18235 + 5.98529i 0.127712 + 0.350262i
\(293\) 12.8969 12.8969i 0.753446 0.753446i −0.221675 0.975121i \(-0.571152\pi\)
0.975121 + 0.221675i \(0.0711523\pi\)
\(294\) 1.91134 8.63317i 0.111471 0.503497i
\(295\) 0.228540 + 1.15976i 0.0133061 + 0.0675240i
\(296\) 4.28467 5.59383i 0.249041 0.325135i
\(297\) 3.62620 + 3.62620i 0.210413 + 0.210413i
\(298\) −7.69095 12.0648i −0.445525 0.698892i
\(299\) 3.79441 0.219436
\(300\) −7.39299 + 6.73377i −0.426834 + 0.388775i
\(301\) 7.58767 0.437346
\(302\) −6.03362 9.46491i −0.347196 0.544644i
\(303\) −7.15383 7.15383i −0.410977 0.410977i
\(304\) −3.14826 3.74324i −0.180565 0.214689i
\(305\) 2.15368 + 10.9292i 0.123319 + 0.625804i
\(306\) −1.62620 + 7.34525i −0.0929636 + 0.419900i
\(307\) 1.60564 1.60564i 0.0916387 0.0916387i −0.659801 0.751440i \(-0.729360\pi\)
0.751440 + 0.659801i \(0.229360\pi\)
\(308\) 8.33158 3.03785i 0.474736 0.173098i
\(309\) 5.40608i 0.307541i
\(310\) 17.8681 17.0537i 1.01484 0.968585i
\(311\) 19.4161i 1.10099i 0.834839 + 0.550494i \(0.185561\pi\)
−0.834839 + 0.550494i \(0.814439\pi\)
\(312\) 0.925715 + 6.98516i 0.0524083 + 0.395457i
\(313\) 17.7110 17.7110i 1.00108 1.00108i 0.00108322 0.999999i \(-0.499655\pi\)
0.999999 0.00108322i \(-0.000344798\pi\)
\(314\) −17.6017 3.89692i −0.993321 0.219916i
\(315\) 1.07700 1.60564i 0.0606823 0.0904676i
\(316\) −13.4340 + 28.8524i −0.755721 + 1.62307i
\(317\) −7.78946 7.78946i −0.437500 0.437500i 0.453670 0.891170i \(-0.350115\pi\)
−0.891170 + 0.453670i \(0.850115\pi\)
\(318\) 4.42902 2.82338i 0.248367 0.158327i
\(319\) −4.43407 −0.248260
\(320\) −7.91081 16.0443i −0.442228 0.896903i
\(321\) −7.79383 −0.435009
\(322\) 1.57048 1.00114i 0.0875196 0.0557914i
\(323\) −4.59958 4.59958i −0.255928 0.255928i
\(324\) −0.844199 + 1.81310i −0.0468999 + 0.100728i
\(325\) −4.80779 + 11.4908i −0.266688 + 0.637397i
\(326\) −25.5510 5.65685i −1.41514 0.313304i
\(327\) 5.17386 5.17386i 0.286115 0.286115i
\(328\) 2.05234 + 15.4863i 0.113322 + 0.855089i
\(329\) 2.81215i 0.155039i
\(330\) −16.2124 0.378064i −0.892466 0.0208118i
\(331\) 31.7005i 1.74242i −0.490912 0.871209i \(-0.663336\pi\)
0.490912 0.871209i \(-0.336664\pi\)
\(332\) 21.1432 7.70919i 1.16038 0.423097i
\(333\) 1.76156 1.76156i 0.0965327 0.0965327i
\(334\) −4.89968 + 22.1310i −0.268098 + 1.21095i
\(335\) 16.2961 + 10.9309i 0.890353 + 0.597216i
\(336\) 2.22615 + 2.64687i 0.121447 + 0.144398i
\(337\) 18.9634 + 18.9634i 1.03300 + 1.03300i 0.999437 + 0.0335632i \(0.0106855\pi\)
0.0335632 + 0.999437i \(0.489314\pi\)
\(338\) −5.16466 8.10177i −0.280920 0.440678i
\(339\) −0.720062 −0.0391084
\(340\) −12.3170 20.3535i −0.667985 1.10382i
\(341\) 40.0558 2.16914
\(342\) −0.929560 1.45820i −0.0502648 0.0788502i
\(343\) −8.10243 8.10243i −0.437490 0.437490i
\(344\) 15.0931 19.7047i 0.813765 1.06241i
\(345\) −3.34153 + 0.658473i −0.179902 + 0.0354510i
\(346\) −3.44461 + 15.5587i −0.185183 + 0.836441i
\(347\) −7.71957 + 7.71957i −0.414408 + 0.414408i −0.883271 0.468863i \(-0.844664\pi\)
0.468863 + 0.883271i \(0.344664\pi\)
\(348\) −0.592379 1.62465i −0.0317549 0.0870906i
\(349\) 27.0741i 1.44925i 0.689146 + 0.724623i \(0.257986\pi\)
−0.689146 + 0.724623i \(0.742014\pi\)
\(350\) 1.04190 + 6.02450i 0.0556918 + 0.322023i
\(351\) 2.49122i 0.132971i
\(352\) 8.68375 27.6794i 0.462846 1.47532i
\(353\) −9.96772 + 9.96772i −0.530528 + 0.530528i −0.920730 0.390201i \(-0.872405\pi\)
0.390201 + 0.920730i \(0.372405\pi\)
\(354\) −0.729929 0.161602i −0.0387953 0.00858906i
\(355\) −17.7757 + 3.50285i −0.943438 + 0.185912i
\(356\) −13.1493 6.12247i −0.696912 0.324490i
\(357\) 3.25240 + 3.25240i 0.172135 + 0.172135i
\(358\) −15.0824 + 9.61461i −0.797129 + 0.508148i
\(359\) 14.2334 0.751211 0.375606 0.926780i \(-0.377435\pi\)
0.375606 + 0.926780i \(0.377435\pi\)
\(360\) −2.02741 5.99079i −0.106854 0.315742i
\(361\) −17.5048 −0.921305
\(362\) −9.21731 + 5.87578i −0.484451 + 0.308824i
\(363\) −10.8178 10.8178i −0.567785 0.567785i
\(364\) 3.90543 + 1.81841i 0.204700 + 0.0953107i
\(365\) −5.91524 3.96772i −0.309618 0.207680i
\(366\) −6.87859 1.52288i −0.359550 0.0796023i
\(367\) 2.89145 2.89145i 0.150933 0.150933i −0.627602 0.778534i \(-0.715963\pi\)
0.778534 + 0.627602i \(0.215963\pi\)
\(368\) 0.524045 6.06988i 0.0273177 0.316414i
\(369\) 5.52311i 0.287522i
\(370\) −0.183659 + 7.87578i −0.00954795 + 0.409442i
\(371\) 3.21128i 0.166721i
\(372\) 5.35135 + 14.6766i 0.277454 + 0.760944i
\(373\) −11.2847 + 11.2847i −0.584298 + 0.584298i −0.936081 0.351783i \(-0.885575\pi\)
0.351783 + 0.936081i \(0.385575\pi\)
\(374\) 8.33950 37.6681i 0.431225 1.94777i
\(375\) 2.23986 10.9537i 0.115666 0.565645i
\(376\) −7.30299 5.59383i −0.376623 0.288480i
\(377\) −1.52311 1.52311i −0.0784444 0.0784444i
\(378\) 0.657298 + 1.03110i 0.0338078 + 0.0530341i
\(379\) 15.4562 0.793932 0.396966 0.917833i \(-0.370063\pi\)
0.396966 + 0.917833i \(0.370063\pi\)
\(380\) 5.31017 + 1.30622i 0.272406 + 0.0670075i
\(381\) 10.5939 0.542743
\(382\) 5.35571 + 8.40148i 0.274022 + 0.429857i
\(383\) 12.5562 + 12.5562i 0.641593 + 0.641593i 0.950947 0.309354i \(-0.100113\pi\)
−0.309354 + 0.950947i \(0.600113\pi\)
\(384\) 11.3019 0.516138i 0.576749 0.0263390i
\(385\) −5.52311 + 8.23407i −0.281484 + 0.419647i
\(386\) 4.97376 22.4656i 0.253158 1.14347i
\(387\) 6.20522 6.20522i 0.315429 0.315429i
\(388\) 2.10945 0.769144i 0.107091 0.0390474i
\(389\) 5.16327i 0.261788i −0.991396 0.130894i \(-0.958215\pi\)
0.991396 0.130894i \(-0.0417848\pi\)
\(390\) −5.43915 5.69889i −0.275422 0.288574i
\(391\) 8.10243i 0.409757i
\(392\) −17.5312 + 2.32333i −0.885458 + 0.117346i
\(393\) 9.89692 9.89692i 0.499233 0.499233i
\(394\) −15.3847 3.40608i −0.775068 0.171596i
\(395\) −6.87964 34.9118i −0.346152 1.75660i
\(396\) 4.32924 9.29797i 0.217552 0.467240i
\(397\) −3.46293 3.46293i −0.173800 0.173800i 0.614847 0.788646i \(-0.289218\pi\)
−0.788646 + 0.614847i \(0.789218\pi\)
\(398\) −13.6892 + 8.72648i −0.686177 + 0.437419i
\(399\) −1.05727 −0.0529298
\(400\) 17.7178 + 9.27796i 0.885889 + 0.463898i
\(401\) 3.49521 0.174542 0.0872712 0.996185i \(-0.472185\pi\)
0.0872712 + 0.996185i \(0.472185\pi\)
\(402\) −10.4650 + 6.67112i −0.521945 + 0.332725i
\(403\) 13.7593 + 13.7593i 0.685399 + 0.685399i
\(404\) −8.54079 + 18.3432i −0.424920 + 0.912608i
\(405\) −0.432320 2.19388i −0.0214822 0.109015i
\(406\) −1.03228 0.228540i −0.0512310 0.0113423i
\(407\) −9.03365 + 9.03365i −0.447781 + 0.447781i
\(408\) 14.9158 1.97673i 0.738443 0.0978629i
\(409\) 14.8034i 0.731982i −0.930618 0.365991i \(-0.880730\pi\)
0.930618 0.365991i \(-0.119270\pi\)
\(410\) −12.0588 12.6346i −0.595541 0.623979i
\(411\) 9.91923i 0.489279i
\(412\) −10.1580 + 3.70379i −0.500448 + 0.182473i
\(413\) −0.323204 + 0.323204i −0.0159039 + 0.0159039i
\(414\) 0.465611 2.10308i 0.0228835 0.103361i
\(415\) −14.0161 + 20.8957i −0.688023 + 1.02573i
\(416\) 12.4908 6.52505i 0.612414 0.319917i
\(417\) 1.61224 + 1.61224i 0.0789520 + 0.0789520i
\(418\) 4.76699 + 7.47795i 0.233161 + 0.365758i
\(419\) −19.0701 −0.931634 −0.465817 0.884881i \(-0.654240\pi\)
−0.465817 + 0.884881i \(0.654240\pi\)
\(420\) −3.75486 0.923635i −0.183218 0.0450688i
\(421\) −20.8034 −1.01390 −0.506948 0.861976i \(-0.669226\pi\)
−0.506948 + 0.861976i \(0.669226\pi\)
\(422\) 4.17450 + 6.54852i 0.203212 + 0.318777i
\(423\) −2.29979 2.29979i −0.111820 0.111820i
\(424\) −8.33950 6.38776i −0.405002 0.310217i
\(425\) 24.5371 + 10.2663i 1.19022 + 0.497991i
\(426\) 2.47689 11.1877i 0.120006 0.542044i
\(427\) −3.04577 + 3.04577i −0.147395 + 0.147395i
\(428\) 5.33968 + 14.6446i 0.258103 + 0.707872i
\(429\) 12.7755i 0.616807i
\(430\) −0.646951 + 27.7431i −0.0311988 + 1.33789i
\(431\) 15.3302i 0.738428i 0.929344 + 0.369214i \(0.120373\pi\)
−0.929344 + 0.369214i \(0.879627\pi\)
\(432\) 3.98518 + 0.344061i 0.191737 + 0.0165537i
\(433\) 16.2803 16.2803i 0.782381 0.782381i −0.197851 0.980232i \(-0.563396\pi\)
0.980232 + 0.197851i \(0.0633961\pi\)
\(434\) 9.32521 + 2.06455i 0.447625 + 0.0991016i
\(435\) 1.60564 + 1.07700i 0.0769846 + 0.0516384i
\(436\) −13.2663 6.17696i −0.635343 0.295823i
\(437\) 1.31695 + 1.31695i 0.0629981 + 0.0629981i
\(438\) 3.79861 2.42151i 0.181505 0.115704i
\(439\) 24.6554 1.17674 0.588368 0.808593i \(-0.299770\pi\)
0.588368 + 0.808593i \(0.299770\pi\)
\(440\) 10.3970 + 30.7221i 0.495659 + 1.46462i
\(441\) −6.25240 −0.297733
\(442\) 15.8037 10.0744i 0.751706 0.479192i
\(443\) 1.77116 + 1.77116i 0.0841501 + 0.0841501i 0.747929 0.663779i \(-0.231048\pi\)
−0.663779 + 0.747929i \(0.731048\pi\)
\(444\) −4.51683 2.10308i −0.214359 0.0998079i
\(445\) 15.9109 3.13536i 0.754248 0.148630i
\(446\) 21.2218 + 4.69839i 1.00488 + 0.222475i
\(447\) −7.15383 + 7.15383i −0.338364 + 0.338364i
\(448\) 3.44827 5.99634i 0.162916 0.283300i
\(449\) 33.1512i 1.56450i −0.622963 0.782251i \(-0.714071\pi\)
0.622963 0.782251i \(-0.285929\pi\)
\(450\) 5.77893 + 4.07479i 0.272421 + 0.192088i
\(451\) 28.3237i 1.33371i
\(452\) 0.493326 + 1.35299i 0.0232041 + 0.0636394i
\(453\) −5.61224 + 5.61224i −0.263686 + 0.263686i
\(454\) −2.15401 + 9.72928i −0.101093 + 0.456618i
\(455\) −4.72563 + 0.931222i −0.221541 + 0.0436564i
\(456\) −2.10308 + 2.74567i −0.0984859 + 0.128578i
\(457\) −7.50479 7.50479i −0.351059 0.351059i 0.509444 0.860504i \(-0.329851\pi\)
−0.860504 + 0.509444i \(0.829851\pi\)
\(458\) 19.5806 + 30.7159i 0.914939 + 1.43526i
\(459\) 5.31965 0.248300
\(460\) 3.52660 + 5.82758i 0.164429 + 0.271712i
\(461\) −27.0216 −1.25852 −0.629262 0.777193i \(-0.716643\pi\)
−0.629262 + 0.777193i \(0.716643\pi\)
\(462\) −3.37077 5.28771i −0.156822 0.246006i
\(463\) 27.7123 + 27.7123i 1.28790 + 1.28790i 0.936059 + 0.351843i \(0.114445\pi\)
0.351843 + 0.936059i \(0.385555\pi\)
\(464\) −2.64687 + 2.22615i −0.122878 + 0.103347i
\(465\) −14.5048 9.72928i −0.672644 0.451185i
\(466\) 0.309251 1.39683i 0.0143258 0.0647070i
\(467\) −2.00823 + 2.00823i −0.0929296 + 0.0929296i −0.752043 0.659114i \(-0.770932\pi\)
0.659114 + 0.752043i \(0.270932\pi\)
\(468\) 4.68098 1.70677i 0.216378 0.0788956i
\(469\) 7.58767i 0.350366i
\(470\) 10.2822 + 0.239774i 0.474282 + 0.0110600i
\(471\) 12.7477i 0.587381i
\(472\) 0.196436 + 1.48225i 0.00904172 + 0.0682260i
\(473\) −31.8217 + 31.8217i −1.46317 + 1.46317i
\(474\) 21.9727 + 4.86464i 1.00924 + 0.223440i
\(475\) −5.65685 + 2.31952i −0.259554 + 0.106427i
\(476\) 3.88296 8.33950i 0.177975 0.382240i
\(477\) −2.62620 2.62620i −0.120245 0.120245i
\(478\) 32.1210 20.4763i 1.46918 0.936562i
\(479\) −13.7593 −0.628678 −0.314339 0.949311i \(-0.601783\pi\)
−0.314339 + 0.949311i \(0.601783\pi\)
\(480\) −9.86765 + 7.91388i −0.450394 + 0.361218i
\(481\) −6.20617 −0.282977
\(482\) −16.8055 + 10.7131i −0.765470 + 0.487966i
\(483\) −0.931222 0.931222i −0.0423721 0.0423721i
\(484\) −12.9151 + 27.7379i −0.587049 + 1.26081i
\(485\) −1.39838 + 2.08476i −0.0634972 + 0.0946641i
\(486\) 1.38078 + 0.305697i 0.0626334 + 0.0138667i
\(487\) −24.3355 + 24.3355i −1.10275 + 1.10275i −0.108671 + 0.994078i \(0.534660\pi\)
−0.994078 + 0.108671i \(0.965340\pi\)
\(488\) 1.85115 + 13.9682i 0.0837975 + 0.632310i
\(489\) 18.5048i 0.836816i
\(490\) 14.3029 13.6510i 0.646140 0.616691i
\(491\) 28.8918i 1.30387i −0.758275 0.651935i \(-0.773957\pi\)
0.758275 0.651935i \(-0.226043\pi\)
\(492\) 10.3779 3.78397i 0.467872 0.170595i
\(493\) −3.25240 + 3.25240i −0.146481 + 0.146481i
\(494\) −0.931222 + 4.20617i −0.0418977 + 0.189244i
\(495\) 2.21703 + 11.2507i 0.0996483 + 0.505681i
\(496\) 23.9109 20.1103i 1.07363 0.902979i
\(497\) −4.95377 4.95377i −0.222207 0.222207i
\(498\) −8.55405 13.4187i −0.383316 0.601306i
\(499\) −12.5365 −0.561211 −0.280605 0.959823i \(-0.590535\pi\)
−0.280605 + 0.959823i \(0.590535\pi\)
\(500\) −22.1164 + 3.29586i −0.989078 + 0.147395i
\(501\) 16.0279 0.716074
\(502\) −13.1112 20.5675i −0.585182 0.917972i
\(503\) −9.01392 9.01392i −0.401911 0.401911i 0.476995 0.878906i \(-0.341726\pi\)
−0.878906 + 0.476995i \(0.841726\pi\)
\(504\) 1.48710 1.94148i 0.0662409 0.0864805i
\(505\) −4.37380 22.1955i −0.194632 0.987689i
\(506\) −2.38776 + 10.7851i −0.106149 + 0.479455i
\(507\) −4.80397 + 4.80397i −0.213352 + 0.213352i
\(508\) −7.25806 19.9059i −0.322025 0.883182i
\(509\) 22.5448i 0.999279i −0.866233 0.499640i \(-0.833466\pi\)
0.866233 0.499640i \(-0.166534\pi\)
\(510\) −12.1692 + 11.6145i −0.538860 + 0.514301i
\(511\) 2.75420i 0.121839i
\(512\) −8.71295 20.8826i −0.385062 0.922891i
\(513\) −0.864641 + 0.864641i −0.0381748 + 0.0381748i
\(514\) 29.3180 + 6.49084i 1.29316 + 0.286299i
\(515\) 6.73386 10.0391i 0.296729 0.442376i
\(516\) −15.9109 7.40828i −0.700437 0.326131i
\(517\) 11.7938 + 11.7938i 0.518692 + 0.518692i
\(518\) −2.56869 + 1.63747i −0.112862 + 0.0719464i
\(519\) 11.2681 0.494613
\(520\) −6.98172 + 14.1245i −0.306169 + 0.619402i
\(521\) −18.9046 −0.828226 −0.414113 0.910225i \(-0.635908\pi\)
−0.414113 + 0.910225i \(0.635908\pi\)
\(522\) −1.03110 + 0.657298i −0.0451300 + 0.0287692i
\(523\) −21.8269 21.8269i −0.954426 0.954426i 0.0445800 0.999006i \(-0.485805\pi\)
−0.999006 + 0.0445800i \(0.985805\pi\)
\(524\) −25.3768 11.8157i −1.10859 0.516172i
\(525\) 4.00000 1.64015i 0.174574 0.0715821i
\(526\) 13.1493 + 2.91118i 0.573337 + 0.126934i
\(527\) 29.3810 29.3810i 1.27986 1.27986i
\(528\) −20.4368 1.76442i −0.889400 0.0767866i
\(529\) 20.6801i 0.899136i
\(530\) 11.7415 + 0.273805i 0.510019 + 0.0118933i
\(531\) 0.528636i 0.0229408i
\(532\) 0.724353 + 1.98661i 0.0314047 + 0.0861303i
\(533\) 9.72928 9.72928i 0.421422 0.421422i
\(534\) −2.21703 + 10.0140i −0.0959404 + 0.433346i
\(535\) −14.4732 9.70807i −0.625730 0.419716i
\(536\) 19.7047 + 15.0931i 0.851114 + 0.651922i
\(537\) 8.94315 + 8.94315i 0.385925 + 0.385925i
\(538\) −19.5407 30.6533i −0.842457 1.32156i
\(539\) 32.0637 1.38108
\(540\) −3.82609 + 2.31539i −0.164649 + 0.0996384i
\(541\) 7.85838 0.337858 0.168929 0.985628i \(-0.445969\pi\)
0.168929 + 0.985628i \(0.445969\pi\)
\(542\) 0.707913 + 1.11050i 0.0304075 + 0.0477000i
\(543\) 5.46543 + 5.46543i 0.234544 + 0.234544i
\(544\) −13.9333 26.6724i −0.597387 1.14357i
\(545\) 16.0525 3.16327i 0.687613 0.135499i
\(546\) 0.658473 2.97421i 0.0281801 0.127284i
\(547\) 17.8105 17.8105i 0.761522 0.761522i −0.215076 0.976597i \(-0.569000\pi\)
0.976597 + 0.215076i \(0.0689998\pi\)
\(548\) 18.6382 6.79582i 0.796183 0.290303i
\(549\) 4.98168i 0.212613i
\(550\) −29.6356 20.8964i −1.26367 0.891027i
\(551\) 1.05727i 0.0450413i
\(552\) −4.27068 + 0.565976i −0.181772 + 0.0240895i
\(553\) 9.72928 9.72928i 0.413731 0.413731i
\(554\) 43.0773 + 9.53707i 1.83018 + 0.405191i
\(555\) 5.46543 1.07700i 0.231994 0.0457163i
\(556\) 1.92482 4.13397i 0.0816307 0.175319i
\(557\) 23.3372 + 23.3372i 0.988827 + 0.988827i 0.999938 0.0111112i \(-0.00353686\pi\)
−0.0111112 + 0.999938i \(0.503537\pi\)
\(558\) 9.31460 5.93780i 0.394318 0.251367i
\(559\) −21.8617 −0.924652
\(560\) 0.837010 + 7.68815i 0.0353701 + 0.324884i
\(561\) −27.2803 −1.15178
\(562\) −10.2191 + 6.51439i −0.431067 + 0.274793i
\(563\) −5.27400 5.27400i −0.222273 0.222273i 0.587182 0.809455i \(-0.300237\pi\)
−0.809455 + 0.587182i \(0.800237\pi\)
\(564\) −2.74567 + 5.89692i −0.115614 + 0.248305i
\(565\) −1.33716 0.896916i −0.0562546 0.0377336i
\(566\) −22.5939 5.00217i −0.949693 0.210257i
\(567\) 0.611393 0.611393i 0.0256761 0.0256761i
\(568\) −22.7185 + 3.01079i −0.953247 + 0.126330i
\(569\) 28.5606i 1.19732i 0.801002 + 0.598661i \(0.204301\pi\)
−0.801002 + 0.598661i \(0.795699\pi\)
\(570\) 0.0901468 3.86574i 0.00377583 0.161918i
\(571\) 32.2837i 1.35103i 0.737347 + 0.675515i \(0.236078\pi\)
−0.737347 + 0.675515i \(0.763922\pi\)
\(572\) −24.0051 + 8.75270i −1.00370 + 0.365969i
\(573\) 4.98168 4.98168i 0.208113 0.208113i
\(574\) 1.45986 6.59392i 0.0609333 0.275225i
\(575\) −7.02542 2.93945i −0.292980 0.122583i
\(576\) −2.08382 7.72384i −0.0868257 0.321827i
\(577\) 27.0279 + 27.0279i 1.12519 + 1.12519i 0.990949 + 0.134237i \(0.0428584\pi\)
0.134237 + 0.990949i \(0.457142\pi\)
\(578\) −8.58919 13.4738i −0.357263 0.560437i
\(579\) −16.2702 −0.676168
\(580\) 0.923635 3.75486i 0.0383518 0.155912i
\(581\) −9.72928 −0.403639
\(582\) −0.853435 1.33878i −0.0353760 0.0554942i
\(583\) 13.4677 + 13.4677i 0.557776 + 0.557776i
\(584\) −7.15249 5.47855i −0.295972 0.226704i
\(585\) −3.10308 + 4.62620i −0.128297 + 0.191270i
\(586\) −5.57560 + 25.1840i −0.230326 + 1.04034i
\(587\) 17.1558 17.1558i 0.708096 0.708096i −0.258039 0.966135i \(-0.583076\pi\)
0.966135 + 0.258039i \(0.0830761\pi\)
\(588\) 4.28362 + 11.7482i 0.176653 + 0.484488i
\(589\) 9.55102i 0.393543i
\(590\) −1.15419 1.20930i −0.0475171 0.0497862i
\(591\) 11.1420i 0.458321i
\(592\) −0.857132 + 9.92794i −0.0352279 + 0.408036i
\(593\) −21.5833 + 21.5833i −0.886320 + 0.886320i −0.994167 0.107848i \(-0.965604\pi\)
0.107848 + 0.994167i \(0.465604\pi\)
\(594\) −7.08093 1.56768i −0.290534 0.0643227i
\(595\) 1.98849 + 10.0909i 0.0815203 + 0.413687i
\(596\) 18.3432 + 8.54079i 0.751366 + 0.349844i
\(597\) 8.11704 + 8.11704i 0.332208 + 0.332208i
\(598\) −4.52490 + 2.88450i −0.185037 + 0.117956i
\(599\) −23.7636 −0.970955 −0.485478 0.874249i \(-0.661354\pi\)
−0.485478 + 0.874249i \(0.661354\pi\)
\(600\) 3.69727 13.6503i 0.150941 0.557270i
\(601\) 22.1695 0.904314 0.452157 0.891938i \(-0.350655\pi\)
0.452157 + 0.891938i \(0.350655\pi\)
\(602\) −9.04843 + 5.76813i −0.368786 + 0.235091i
\(603\) 6.20522 + 6.20522i 0.252696 + 0.252696i
\(604\) 14.3904 + 6.70033i 0.585537 + 0.272633i
\(605\) −6.61391 33.5633i −0.268894 1.36454i
\(606\) 13.9694 + 3.09275i 0.567468 + 0.125634i
\(607\) 9.35348 9.35348i 0.379646 0.379646i −0.491328 0.870974i \(-0.663489\pi\)
0.870974 + 0.491328i \(0.163489\pi\)
\(608\) 6.59995 + 2.07058i 0.267663 + 0.0839731i
\(609\) 0.747604i 0.0302944i
\(610\) −10.8767 11.3960i −0.440383 0.461412i
\(611\) 8.10243i 0.327789i
\(612\) −3.64457 9.99558i −0.147323 0.404047i
\(613\) −24.1247 + 24.1247i −0.974389 + 0.974389i −0.999680 0.0252913i \(-0.991949\pi\)
0.0252913 + 0.999680i \(0.491949\pi\)
\(614\) −0.694151 + 3.13536i −0.0280137 + 0.126533i
\(615\) −6.87964 + 10.2564i −0.277414 + 0.413579i
\(616\) −7.62620 + 9.95634i −0.307268 + 0.401152i
\(617\) 3.82611 + 3.82611i 0.154033 + 0.154033i 0.779917 0.625883i \(-0.215261\pi\)
−0.625883 + 0.779917i \(0.715261\pi\)
\(618\) 4.10969 + 6.44685i 0.165316 + 0.259330i
\(619\) 30.1297 1.21101 0.605507 0.795840i \(-0.292971\pi\)
0.605507 + 0.795840i \(0.292971\pi\)
\(620\) −8.34379 + 33.9201i −0.335095 + 1.36226i
\(621\) −1.52311 −0.0611205
\(622\) −14.7601 23.1541i −0.591826 0.928395i
\(623\) 4.43407 + 4.43407i 0.177647 + 0.177647i
\(624\) −6.41403 7.62620i −0.256767 0.305292i
\(625\) 17.8034 17.5510i 0.712137 0.702041i
\(626\) −7.65681 + 34.5845i −0.306028 + 1.38227i
\(627\) 4.43407 4.43407i 0.177080 0.177080i
\(628\) 23.9528 8.73362i 0.955819 0.348509i
\(629\) 13.2524i 0.528408i
\(630\) −0.0637434 + 2.73349i −0.00253960 + 0.108905i
\(631\) 21.5701i 0.858694i 0.903140 + 0.429347i \(0.141256\pi\)
−0.903140 + 0.429347i \(0.858744\pi\)
\(632\) −5.91324 44.6195i −0.235216 1.77487i
\(633\) 3.88296 3.88296i 0.154334 0.154334i
\(634\) 15.2106 + 3.36754i 0.604090 + 0.133742i
\(635\) 19.6729 + 13.1959i 0.780697 + 0.523663i
\(636\) −3.13536 + 6.73386i −0.124325 + 0.267015i
\(637\) 11.0140 + 11.0140i 0.436389 + 0.436389i
\(638\) 5.28771 3.37077i 0.209342 0.133450i
\(639\) −8.10243 −0.320527
\(640\) 21.6306 + 13.1193i 0.855025 + 0.518586i
\(641\) 48.3911 1.91133 0.955666 0.294452i \(-0.0951370\pi\)
0.955666 + 0.294452i \(0.0951370\pi\)
\(642\) 9.29429 5.92485i 0.366816 0.233835i
\(643\) −23.3413 23.3413i −0.920491 0.920491i 0.0765729 0.997064i \(-0.475602\pi\)
−0.997064 + 0.0765729i \(0.975602\pi\)
\(644\) −1.11177 + 2.38776i −0.0438097 + 0.0940907i
\(645\) 19.2524 3.79383i 0.758062 0.149382i
\(646\) 8.98168 + 1.98849i 0.353379 + 0.0782362i
\(647\) −32.4465 + 32.4465i −1.27560 + 1.27560i −0.332501 + 0.943103i \(0.607892\pi\)
−0.943103 + 0.332501i \(0.892108\pi\)
\(648\) −0.371591 2.80391i −0.0145975 0.110148i
\(649\) 2.71096i 0.106414i
\(650\) −3.00194 17.3579i −0.117746 0.680833i
\(651\) 6.75359i 0.264694i
\(652\) 34.7704 12.6779i 1.36171 0.496506i
\(653\) 18.4725 18.4725i 0.722885 0.722885i −0.246307 0.969192i \(-0.579217\pi\)
0.969192 + 0.246307i \(0.0792170\pi\)
\(654\) −2.23677 + 10.1031i −0.0874645 + 0.395062i
\(655\) 30.7063 6.05091i 1.19979 0.236429i
\(656\) −14.2201 16.9075i −0.555202 0.660128i
\(657\) −2.25240 2.25240i −0.0878743 0.0878743i
\(658\) 2.13779 + 3.35355i 0.0833399 + 0.130735i
\(659\) −47.5028 −1.85045 −0.925223 0.379423i \(-0.876122\pi\)
−0.925223 + 0.379423i \(0.876122\pi\)
\(660\) 19.6210 11.8738i 0.763748 0.462188i
\(661\) −46.1204 −1.79387 −0.896937 0.442158i \(-0.854213\pi\)
−0.896937 + 0.442158i \(0.854213\pi\)
\(662\) 24.0987 + 37.8035i 0.936621 + 1.46927i
\(663\) −9.37086 9.37086i −0.363934 0.363934i
\(664\) −19.3531 + 25.2663i −0.751046 + 0.980525i
\(665\) −1.96336 1.31695i −0.0761357 0.0510690i
\(666\) −0.761557 + 3.43982i −0.0295097 + 0.133290i
\(667\) 0.931222 0.931222i 0.0360571 0.0360571i
\(668\) −10.9810 30.1163i −0.424867 1.16524i
\(669\) 15.3694i 0.594217i
\(670\) −27.7431 0.646951i −1.07181 0.0249939i
\(671\) 25.5471i 0.986236i
\(672\) −4.66687 1.46412i −0.180028 0.0564797i
\(673\) 3.60599 3.60599i 0.139001 0.139001i −0.634183 0.773183i \(-0.718663\pi\)
0.773183 + 0.634183i \(0.218663\pi\)
\(674\) −37.0300 8.19825i −1.42634 0.315785i
\(675\) 1.92989 4.61254i 0.0742816 0.177537i
\(676\) 12.3179 + 5.73535i 0.473765 + 0.220590i
\(677\) −8.26635 8.26635i −0.317702 0.317702i 0.530182 0.847884i \(-0.322124\pi\)
−0.847884 + 0.530182i \(0.822124\pi\)
\(678\) 0.858688 0.547390i 0.0329777 0.0210224i
\(679\) −0.970688 −0.0372516
\(680\) 30.1609 + 14.9085i 1.15662 + 0.571714i
\(681\) 7.04623 0.270012
\(682\) −47.7673 + 30.4503i −1.82910 + 1.16600i
\(683\) −8.43079 8.43079i −0.322595 0.322595i 0.527167 0.849762i \(-0.323254\pi\)
−0.849762 + 0.527167i \(0.823254\pi\)
\(684\) 2.21703 + 1.03228i 0.0847704 + 0.0394700i
\(685\) −12.3555 + 18.4200i −0.472079 + 0.703793i
\(686\) 15.8217 + 3.50285i 0.604077 + 0.133739i
\(687\) 18.2131 18.2131i 0.694872 0.694872i
\(688\) −3.01932 + 34.9719i −0.115110 + 1.33329i
\(689\) 9.25240i 0.352488i
\(690\) 3.48426 3.32546i 0.132644 0.126598i
\(691\) 21.9182i 0.833809i 0.908950 + 0.416905i \(0.136885\pi\)
−0.908950 + 0.416905i \(0.863115\pi\)
\(692\) −7.71993 21.1726i −0.293468 0.804862i
\(693\) −3.13536 + 3.13536i −0.119102 + 0.119102i
\(694\) 3.33733 15.0741i 0.126683 0.572206i
\(695\) 0.985716 + 5.00217i 0.0373903 + 0.189743i
\(696\) 1.94148 + 1.48710i 0.0735917 + 0.0563686i
\(697\) −20.7755 20.7755i −0.786929 0.786929i
\(698\) −20.5817 32.2864i −0.779029 1.22206i
\(699\) −1.01163 −0.0382633
\(700\) −5.82230 6.39228i −0.220062 0.241605i
\(701\) −21.8184 −0.824070 −0.412035 0.911168i \(-0.635182\pi\)
−0.412035 + 0.911168i \(0.635182\pi\)
\(702\) −1.89382 2.97082i −0.0714776 0.112126i
\(703\) −2.15401 2.15401i −0.0812400 0.0812400i
\(704\) 10.6863 + 39.6095i 0.402754 + 1.49284i
\(705\) −1.40608 7.13536i −0.0529559 0.268733i
\(706\) 4.30925 19.4641i 0.162181 0.732542i
\(707\) 6.18549 6.18549i 0.232629 0.232629i
\(708\) 0.993303 0.362177i 0.0373306 0.0136114i
\(709\) 31.7938i 1.19404i −0.802225 0.597021i \(-0.796351\pi\)
0.802225 0.597021i \(-0.203649\pi\)
\(710\) 18.5350 17.6903i 0.695607 0.663904i
\(711\) 15.9133i 0.596795i
\(712\) 20.3351 2.69493i 0.762089 0.100997i
\(713\) −8.41233 + 8.41233i −0.315044 + 0.315044i
\(714\) −6.35101 1.40608i −0.237680 0.0526211i
\(715\) 15.9133 23.7242i 0.595123 0.887233i
\(716\) 10.6770 22.9312i 0.399019 0.856979i
\(717\) −19.0462 19.0462i −0.711294 0.711294i
\(718\) −16.9736 + 10.8202i −0.633450 + 0.403807i
\(719\) 52.0874 1.94253 0.971265 0.237999i \(-0.0764916\pi\)
0.971265 + 0.237999i \(0.0764916\pi\)
\(720\) 6.97191 + 5.60289i 0.259828 + 0.208808i
\(721\) 4.67432 0.174081
\(722\) 20.8748 13.3071i 0.776879 0.495239i
\(723\) 9.96487 + 9.96487i 0.370598 + 0.370598i
\(724\) 6.52505 14.0140i 0.242502 0.520824i
\(725\) 1.64015 + 4.00000i 0.0609137 + 0.148556i
\(726\) 21.1240 + 4.67674i 0.783986 + 0.173570i
\(727\) −8.13069 + 8.13069i −0.301551 + 0.301551i −0.841620 0.540070i \(-0.818398\pi\)
0.540070 + 0.841620i \(0.318398\pi\)
\(728\) −6.03965 + 0.800411i −0.223844 + 0.0296652i
\(729\) 1.00000i 0.0370370i
\(730\) 10.0703 + 0.234833i 0.372718 + 0.00869156i
\(731\) 46.6826i 1.72662i
\(732\) 9.36054 3.41303i 0.345976 0.126149i
\(733\) −29.9956 + 29.9956i −1.10791 + 1.10791i −0.114489 + 0.993424i \(0.536523\pi\)
−0.993424 + 0.114489i \(0.963477\pi\)
\(734\) −1.25003 + 5.64618i −0.0461396 + 0.208404i
\(735\) −11.6107 7.78804i −0.428268 0.287266i
\(736\) 3.98937 + 7.63682i 0.147050 + 0.281497i
\(737\) −31.8217 31.8217i −1.17217 1.17217i
\(738\) −4.19866 6.58641i −0.154555 0.242449i
\(739\) −39.4719 −1.45200 −0.725999 0.687696i \(-0.758622\pi\)
−0.725999 + 0.687696i \(0.758622\pi\)
\(740\) −5.76814 9.53163i −0.212041 0.350390i
\(741\) 3.04623 0.111906
\(742\) 2.44121 + 3.82951i 0.0896196 + 0.140586i
\(743\) 12.2252 + 12.2252i 0.448499 + 0.448499i 0.894855 0.446356i \(-0.147279\pi\)
−0.446356 + 0.894855i \(0.647279\pi\)
\(744\) −17.5387 13.4340i −0.642999 0.492514i
\(745\) −22.1955 + 4.37380i −0.813182 + 0.160244i
\(746\) 4.87859 22.0358i 0.178618 0.806786i
\(747\) −7.95665 + 7.95665i −0.291118 + 0.291118i
\(748\) 18.6902 + 51.2595i 0.683380 + 1.87423i
\(749\) 6.73887i 0.246233i
\(750\) 5.65589 + 14.7652i 0.206524 + 0.539149i
\(751\) 28.9069i 1.05483i −0.849609 0.527413i \(-0.823162\pi\)
0.849609 0.527413i \(-0.176838\pi\)
\(752\) 12.9614 + 1.11902i 0.472652 + 0.0408066i
\(753\) −12.1955 + 12.1955i −0.444430 + 0.444430i
\(754\) 2.97421 + 0.658473i 0.108314 + 0.0239802i
\(755\) −17.4126 + 3.43129i −0.633710 + 0.124877i
\(756\) −1.56768 0.729929i −0.0570160 0.0265473i
\(757\) −16.2018 16.2018i −0.588864 0.588864i 0.348459 0.937324i \(-0.386705\pi\)
−0.937324 + 0.348459i \(0.886705\pi\)
\(758\) −18.4318 + 11.7498i −0.669474 + 0.426771i
\(759\) 7.81086 0.283516
\(760\) −7.32546 + 2.47909i −0.265722 + 0.0899262i
\(761\) −6.64641 −0.240932 −0.120466 0.992717i \(-0.538439\pi\)
−0.120466 + 0.992717i \(0.538439\pi\)
\(762\) −12.6334 + 8.05348i −0.457661 + 0.291747i
\(763\) 4.47353 + 4.47353i 0.161953 + 0.161953i
\(764\) −12.7736 5.94751i −0.462131 0.215173i
\(765\) 9.87859 + 6.62620i 0.357161 + 0.239571i
\(766\) −24.5187 5.42831i −0.885898 0.196133i
\(767\) 0.931222 0.931222i 0.0336245 0.0336245i
\(768\) −13.0854 + 9.20720i −0.472178 + 0.332236i
\(769\) 29.3449i 1.05820i 0.848559 + 0.529101i \(0.177471\pi\)
−0.848559 + 0.529101i \(0.822529\pi\)
\(770\) 0.326890 14.0179i 0.0117803 0.505172i
\(771\) 21.2329i 0.764686i
\(772\) 11.1470 + 30.5717i 0.401189 + 1.10030i
\(773\) 37.5833 37.5833i 1.35178 1.35178i 0.468104 0.883674i \(-0.344937\pi\)
0.883674 0.468104i \(-0.155063\pi\)
\(774\) −2.68264 +