Properties

Label 390.2.bj.a.149.3
Level $390$
Weight $2$
Character 390.149
Analytic conductor $3.114$
Analytic rank $0$
Dimension $112$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 390.bj (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.11416567883\)
Analytic rank: \(0\)
Dimension: \(112\)
Relative dimension: \(28\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 149.3
Character \(\chi\) \(=\) 390.149
Dual form 390.2.bj.a.89.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 - 0.965926i) q^{2} +(-1.38738 + 1.03691i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(2.16904 - 0.543370i) q^{5} +(1.36065 + 1.07174i) q^{6} +(-0.476190 - 0.127595i) q^{7} +(0.707107 + 0.707107i) q^{8} +(0.849653 - 2.87717i) q^{9} +O(q^{10})\) \(q+(-0.258819 - 0.965926i) q^{2} +(-1.38738 + 1.03691i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(2.16904 - 0.543370i) q^{5} +(1.36065 + 1.07174i) q^{6} +(-0.476190 - 0.127595i) q^{7} +(0.707107 + 0.707107i) q^{8} +(0.849653 - 2.87717i) q^{9} +(-1.08624 - 1.95450i) q^{10} +(1.42916 + 5.33370i) q^{11} +(0.683054 - 1.59168i) q^{12} +(-3.60176 + 0.165292i) q^{13} +0.492988i q^{14} +(-2.44587 + 3.00295i) q^{15} +(0.500000 - 0.866025i) q^{16} +(2.57602 - 1.48727i) q^{17} +(-2.99904 - 0.0760362i) q^{18} +(4.31217 + 1.15544i) q^{19} +(-1.60676 + 1.55509i) q^{20} +(0.792960 - 0.316741i) q^{21} +(4.78206 - 2.76092i) q^{22} +(5.06440 + 2.92393i) q^{23} +(-1.71423 - 0.247824i) q^{24} +(4.40950 - 2.35719i) q^{25} +(1.09186 + 3.43625i) q^{26} +(1.80456 + 4.87274i) q^{27} +(0.476190 - 0.127595i) q^{28} +(4.83689 + 2.79258i) q^{29} +(3.53367 + 1.58530i) q^{30} +(2.68949 - 2.68949i) q^{31} +(-0.965926 - 0.258819i) q^{32} +(-7.51333 - 5.91797i) q^{33} +(-2.10331 - 2.10331i) q^{34} +(-1.10221 - 0.0180112i) q^{35} +(0.702762 + 2.91653i) q^{36} +(1.20369 + 4.49224i) q^{37} -4.46428i q^{38} +(4.82562 - 3.96401i) q^{39} +(1.91797 + 1.14952i) q^{40} +(-0.293136 + 0.0785456i) q^{41} +(-0.511182 - 0.683962i) q^{42} +(0.151725 + 0.262796i) q^{43} +(-3.90454 - 3.90454i) q^{44} +(0.279569 - 6.70238i) q^{45} +(1.51354 - 5.64860i) q^{46} +(4.68038 + 4.68038i) q^{47} +(0.204296 + 1.71996i) q^{48} +(-5.85170 - 3.37848i) q^{49} +(-3.41813 - 3.64916i) q^{50} +(-2.03177 + 4.73450i) q^{51} +(3.03657 - 1.94403i) q^{52} -8.82159 q^{53} +(4.23965 - 3.00423i) q^{54} +(5.99808 + 10.7925i) q^{55} +(-0.246494 - 0.426940i) q^{56} +(-7.18070 + 2.86827i) q^{57} +(1.44555 - 5.39485i) q^{58} +(-12.8790 - 3.45091i) q^{59} +(0.616705 - 3.82357i) q^{60} +(0.638565 + 1.10603i) q^{61} +(-3.29394 - 1.90175i) q^{62} +(-0.771707 + 1.26167i) q^{63} +1.00000i q^{64} +(-7.72256 + 2.31561i) q^{65} +(-3.77172 + 8.78900i) q^{66} +(3.46000 - 0.927104i) q^{67} +(-1.48727 + 2.57602i) q^{68} +(-10.0581 + 1.19470i) q^{69} +(0.267875 + 1.06931i) q^{70} +(3.67384 - 13.7110i) q^{71} +(2.63526 - 1.43367i) q^{72} +(1.84532 - 1.84532i) q^{73} +(4.02763 - 2.32535i) q^{74} +(-3.67348 + 7.84255i) q^{75} +(-4.31217 + 1.15544i) q^{76} -2.72220i q^{77} +(-5.07790 - 3.63523i) q^{78} -5.77102 q^{79} +(0.613950 - 2.15013i) q^{80} +(-7.55618 - 4.88919i) q^{81} +(0.151738 + 0.262819i) q^{82} +(-7.09509 + 7.09509i) q^{83} +(-0.528353 + 0.670786i) q^{84} +(4.77937 - 4.62568i) q^{85} +(0.214572 - 0.214572i) q^{86} +(-9.60626 + 1.14103i) q^{87} +(-2.76092 + 4.78206i) q^{88} +(2.33031 + 8.69682i) q^{89} +(-6.54636 + 1.46466i) q^{90} +(1.73621 + 0.380855i) q^{91} -5.84786 q^{92} +(-0.942599 + 6.52009i) q^{93} +(3.30953 - 5.73228i) q^{94} +(9.98111 + 0.163102i) q^{95} +(1.60848 - 0.642493i) q^{96} +(2.93548 - 10.9554i) q^{97} +(-1.74883 + 6.52673i) q^{98} +(16.5602 + 0.419860i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 112 q+O(q^{10}) \) Copy content Toggle raw display \( 112 q + 24 q^{10} - 8 q^{15} + 56 q^{16} - 32 q^{19} - 8 q^{21} - 24 q^{30} + 40 q^{31} + 24 q^{36} - 24 q^{39} - 48 q^{45} + 16 q^{46} - 48 q^{49} - 48 q^{54} - 8 q^{55} - 16 q^{60} - 32 q^{66} - 168 q^{69} - 32 q^{70} - 120 q^{75} + 32 q^{76} + 112 q^{79} - 88 q^{81} - 8 q^{84} + 24 q^{85} + 48 q^{91} + 32 q^{94} - 56 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{5}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 0.965926i −0.183013 0.683013i
\(3\) −1.38738 + 1.03691i −0.801005 + 0.598658i
\(4\) −0.866025 + 0.500000i −0.433013 + 0.250000i
\(5\) 2.16904 0.543370i 0.970026 0.243002i
\(6\) 1.36065 + 1.07174i 0.555485 + 0.437535i
\(7\) −0.476190 0.127595i −0.179983 0.0482262i 0.167702 0.985838i \(-0.446365\pi\)
−0.347685 + 0.937612i \(0.613032\pi\)
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) 0.849653 2.87717i 0.283218 0.959056i
\(10\) −1.08624 1.95450i −0.343501 0.618067i
\(11\) 1.42916 + 5.33370i 0.430908 + 1.60817i 0.750674 + 0.660673i \(0.229729\pi\)
−0.319766 + 0.947497i \(0.603604\pi\)
\(12\) 0.683054 1.59168i 0.197181 0.459478i
\(13\) −3.60176 + 0.165292i −0.998949 + 0.0458439i
\(14\) 0.492988i 0.131757i
\(15\) −2.44587 + 3.00295i −0.631520 + 0.775360i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 2.57602 1.48727i 0.624777 0.360715i −0.153949 0.988079i \(-0.549199\pi\)
0.778727 + 0.627363i \(0.215866\pi\)
\(18\) −2.99904 0.0760362i −0.706880 0.0179219i
\(19\) 4.31217 + 1.15544i 0.989279 + 0.265077i 0.716948 0.697127i \(-0.245539\pi\)
0.272331 + 0.962204i \(0.412205\pi\)
\(20\) −1.60676 + 1.55509i −0.359283 + 0.347730i
\(21\) 0.792960 0.316741i 0.173038 0.0691186i
\(22\) 4.78206 2.76092i 1.01954 0.588631i
\(23\) 5.06440 + 2.92393i 1.05600 + 0.609682i 0.924323 0.381611i \(-0.124631\pi\)
0.131677 + 0.991293i \(0.457964\pi\)
\(24\) −1.71423 0.247824i −0.349916 0.0505868i
\(25\) 4.40950 2.35719i 0.881900 0.471437i
\(26\) 1.09186 + 3.43625i 0.214132 + 0.673905i
\(27\) 1.80456 + 4.87274i 0.347287 + 0.937759i
\(28\) 0.476190 0.127595i 0.0899914 0.0241131i
\(29\) 4.83689 + 2.79258i 0.898188 + 0.518569i 0.876612 0.481198i \(-0.159798\pi\)
0.0215765 + 0.999767i \(0.493131\pi\)
\(30\) 3.53367 + 1.58530i 0.645157 + 0.289436i
\(31\) 2.68949 2.68949i 0.483046 0.483046i −0.423057 0.906103i \(-0.639043\pi\)
0.906103 + 0.423057i \(0.139043\pi\)
\(32\) −0.965926 0.258819i −0.170753 0.0457532i
\(33\) −7.51333 5.91797i −1.30790 1.03019i
\(34\) −2.10331 2.10331i −0.360715 0.360715i
\(35\) −1.10221 0.0180112i −0.186307 0.00304445i
\(36\) 0.702762 + 2.91653i 0.117127 + 0.486088i
\(37\) 1.20369 + 4.49224i 0.197886 + 0.738519i 0.991501 + 0.130099i \(0.0415297\pi\)
−0.793615 + 0.608420i \(0.791804\pi\)
\(38\) 4.46428i 0.724203i
\(39\) 4.82562 3.96401i 0.772718 0.634750i
\(40\) 1.91797 + 1.14952i 0.303257 + 0.181756i
\(41\) −0.293136 + 0.0785456i −0.0457802 + 0.0122668i −0.281636 0.959521i \(-0.590877\pi\)
0.235856 + 0.971788i \(0.424211\pi\)
\(42\) −0.511182 0.683962i −0.0788771 0.105538i
\(43\) 0.151725 + 0.262796i 0.0231379 + 0.0400760i 0.877362 0.479828i \(-0.159301\pi\)
−0.854225 + 0.519904i \(0.825968\pi\)
\(44\) −3.90454 3.90454i −0.588631 0.588631i
\(45\) 0.279569 6.70238i 0.0416756 0.999131i
\(46\) 1.51354 5.64860i 0.223159 0.832841i
\(47\) 4.68038 + 4.68038i 0.682704 + 0.682704i 0.960609 0.277905i \(-0.0896399\pi\)
−0.277905 + 0.960609i \(0.589640\pi\)
\(48\) 0.204296 + 1.71996i 0.0294876 + 0.248255i
\(49\) −5.85170 3.37848i −0.835957 0.482640i
\(50\) −3.41813 3.64916i −0.483396 0.516070i
\(51\) −2.03177 + 4.73450i −0.284505 + 0.662963i
\(52\) 3.03657 1.94403i 0.421096 0.269588i
\(53\) −8.82159 −1.21174 −0.605869 0.795564i \(-0.707175\pi\)
−0.605869 + 0.795564i \(0.707175\pi\)
\(54\) 4.23965 3.00423i 0.576943 0.408823i
\(55\) 5.99808 + 10.7925i 0.808781 + 1.45525i
\(56\) −0.246494 0.426940i −0.0329391 0.0570522i
\(57\) −7.18070 + 2.86827i −0.951107 + 0.379912i
\(58\) 1.44555 5.39485i 0.189810 0.708379i
\(59\) −12.8790 3.45091i −1.67670 0.449271i −0.709796 0.704408i \(-0.751213\pi\)
−0.966905 + 0.255137i \(0.917879\pi\)
\(60\) 0.616705 3.82357i 0.0796163 0.493621i
\(61\) 0.638565 + 1.10603i 0.0817598 + 0.141612i 0.904006 0.427520i \(-0.140613\pi\)
−0.822246 + 0.569132i \(0.807279\pi\)
\(62\) −3.29394 1.90175i −0.418330 0.241523i
\(63\) −0.771707 + 1.26167i −0.0972259 + 0.158955i
\(64\) 1.00000i 0.125000i
\(65\) −7.72256 + 2.31561i −0.957866 + 0.287217i
\(66\) −3.77172 + 8.78900i −0.464267 + 1.08185i
\(67\) 3.46000 0.927104i 0.422706 0.113264i −0.0411942 0.999151i \(-0.513116\pi\)
0.463900 + 0.885887i \(0.346450\pi\)
\(68\) −1.48727 + 2.57602i −0.180358 + 0.312389i
\(69\) −10.0581 + 1.19470i −1.21085 + 0.143824i
\(70\) 0.267875 + 1.06931i 0.0320171 + 0.127807i
\(71\) 3.67384 13.7110i 0.436005 1.62719i −0.302645 0.953103i \(-0.597870\pi\)
0.738650 0.674089i \(-0.235464\pi\)
\(72\) 2.63526 1.43367i 0.310568 0.168959i
\(73\) 1.84532 1.84532i 0.215979 0.215979i −0.590823 0.806801i \(-0.701197\pi\)
0.806801 + 0.590823i \(0.201197\pi\)
\(74\) 4.02763 2.32535i 0.468202 0.270317i
\(75\) −3.67348 + 7.84255i −0.424177 + 0.905580i
\(76\) −4.31217 + 1.15544i −0.494640 + 0.132538i
\(77\) 2.72220i 0.310224i
\(78\) −5.07790 3.63523i −0.574959 0.411609i
\(79\) −5.77102 −0.649291 −0.324645 0.945836i \(-0.605245\pi\)
−0.324645 + 0.945836i \(0.605245\pi\)
\(80\) 0.613950 2.15013i 0.0686417 0.240392i
\(81\) −7.55618 4.88919i −0.839576 0.543243i
\(82\) 0.151738 + 0.262819i 0.0167567 + 0.0290235i
\(83\) −7.09509 + 7.09509i −0.778787 + 0.778787i −0.979625 0.200837i \(-0.935634\pi\)
0.200837 + 0.979625i \(0.435634\pi\)
\(84\) −0.528353 + 0.670786i −0.0576480 + 0.0731888i
\(85\) 4.77937 4.62568i 0.518395 0.501726i
\(86\) 0.214572 0.214572i 0.0231379 0.0231379i
\(87\) −9.60626 + 1.14103i −1.02990 + 0.122331i
\(88\) −2.76092 + 4.78206i −0.294316 + 0.509769i
\(89\) 2.33031 + 8.69682i 0.247012 + 0.921861i 0.972362 + 0.233480i \(0.0750115\pi\)
−0.725350 + 0.688381i \(0.758322\pi\)
\(90\) −6.54636 + 1.46466i −0.690046 + 0.154389i
\(91\) 1.73621 + 0.380855i 0.182004 + 0.0399244i
\(92\) −5.84786 −0.609682
\(93\) −0.942599 + 6.52009i −0.0977430 + 0.676102i
\(94\) 3.30953 5.73228i 0.341352 0.591239i
\(95\) 9.98111 + 0.163102i 1.02404 + 0.0167339i
\(96\) 1.60848 0.642493i 0.164165 0.0655742i
\(97\) 2.93548 10.9554i 0.298053 1.11235i −0.640709 0.767784i \(-0.721360\pi\)
0.938762 0.344565i \(-0.111974\pi\)
\(98\) −1.74883 + 6.52673i −0.176659 + 0.659299i
\(99\) 16.5602 + 0.419860i 1.66437 + 0.0421975i
\(100\) −2.64015 + 4.24613i −0.264015 + 0.424613i
\(101\) 5.46002 9.45704i 0.543293 0.941010i −0.455420 0.890277i \(-0.650511\pi\)
0.998712 0.0507335i \(-0.0161559\pi\)
\(102\) 5.09904 + 0.737160i 0.504880 + 0.0729897i
\(103\) −12.8623 −1.26736 −0.633679 0.773596i \(-0.718456\pi\)
−0.633679 + 0.773596i \(0.718456\pi\)
\(104\) −2.66371 2.42995i −0.261198 0.238276i
\(105\) 1.54786 1.11790i 0.151055 0.109095i
\(106\) 2.28320 + 8.52100i 0.221764 + 0.827633i
\(107\) −1.06679 + 1.84774i −0.103131 + 0.178627i −0.912973 0.408020i \(-0.866219\pi\)
0.809842 + 0.586648i \(0.199553\pi\)
\(108\) −3.99916 3.31764i −0.384820 0.319240i
\(109\) 4.32465 4.32465i 0.414227 0.414227i −0.468981 0.883208i \(-0.655379\pi\)
0.883208 + 0.468981i \(0.155379\pi\)
\(110\) 8.87230 8.58699i 0.845940 0.818738i
\(111\) −6.32801 4.98433i −0.600628 0.473092i
\(112\) −0.348595 + 0.348595i −0.0329391 + 0.0329391i
\(113\) 7.20026 + 12.4712i 0.677344 + 1.17319i 0.975778 + 0.218764i \(0.0702024\pi\)
−0.298434 + 0.954430i \(0.596464\pi\)
\(114\) 4.62904 + 6.19366i 0.433549 + 0.580090i
\(115\) 12.5737 + 3.59029i 1.17250 + 0.334797i
\(116\) −5.58516 −0.518569
\(117\) −2.58467 + 10.5033i −0.238953 + 0.971031i
\(118\) 13.3333i 1.22743i
\(119\) −1.41644 + 0.379535i −0.129845 + 0.0347919i
\(120\) −3.85290 + 0.393921i −0.351720 + 0.0359599i
\(121\) −16.8795 + 9.74541i −1.53450 + 0.885946i
\(122\) 0.903067 0.903067i 0.0817598 0.0817598i
\(123\) 0.325247 0.412927i 0.0293265 0.0372324i
\(124\) −0.984421 + 3.67391i −0.0884036 + 0.329927i
\(125\) 8.28357 7.50883i 0.740905 0.671610i
\(126\) 1.41841 + 0.418868i 0.126362 + 0.0373158i
\(127\) −2.95100 + 5.11128i −0.261859 + 0.453553i −0.966736 0.255777i \(-0.917669\pi\)
0.704877 + 0.709329i \(0.251002\pi\)
\(128\) 0.965926 0.258819i 0.0853766 0.0228766i
\(129\) −0.482995 0.207273i −0.0425254 0.0182494i
\(130\) 4.23546 + 6.86010i 0.371474 + 0.601670i
\(131\) 1.57927i 0.137981i −0.997617 0.0689906i \(-0.978022\pi\)
0.997617 0.0689906i \(-0.0219778\pi\)
\(132\) 9.46572 + 1.36844i 0.823885 + 0.119108i
\(133\) −1.90598 1.10042i −0.165270 0.0954184i
\(134\) −1.79103 3.10215i −0.154721 0.267985i
\(135\) 6.56186 + 9.58864i 0.564755 + 0.825258i
\(136\) 2.87318 + 0.769866i 0.246373 + 0.0660155i
\(137\) 3.08682 11.5202i 0.263725 0.984234i −0.699302 0.714827i \(-0.746506\pi\)
0.963026 0.269407i \(-0.0868278\pi\)
\(138\) 3.75721 + 9.40616i 0.319835 + 0.800705i
\(139\) −0.668820 1.15843i −0.0567285 0.0982567i 0.836267 0.548323i \(-0.184734\pi\)
−0.892995 + 0.450066i \(0.851400\pi\)
\(140\) 0.963545 0.535505i 0.0814344 0.0452585i
\(141\) −11.3466 1.64036i −0.955555 0.138143i
\(142\) −14.1946 −1.19119
\(143\) −6.02911 18.9745i −0.504180 1.58672i
\(144\) −2.06687 2.17440i −0.172239 0.181200i
\(145\) 12.0088 + 3.42901i 0.997279 + 0.284764i
\(146\) −2.26005 1.30484i −0.187043 0.107989i
\(147\) 11.6217 1.38042i 0.958542 0.113855i
\(148\) −3.28855 3.28855i −0.270317 0.270317i
\(149\) −4.77533 + 17.8218i −0.391210 + 1.46002i 0.436930 + 0.899495i \(0.356066\pi\)
−0.828140 + 0.560521i \(0.810601\pi\)
\(150\) 8.52609 + 1.51850i 0.696152 + 0.123985i
\(151\) −10.0210 10.0210i −0.815500 0.815500i 0.169953 0.985452i \(-0.445639\pi\)
−0.985452 + 0.169953i \(0.945639\pi\)
\(152\) 2.23214 + 3.86618i 0.181051 + 0.313589i
\(153\) −2.09039 8.67531i −0.168998 0.701357i
\(154\) −2.62945 + 0.704558i −0.211887 + 0.0567749i
\(155\) 4.37223 7.29500i 0.351186 0.585949i
\(156\) −2.19711 + 5.84574i −0.175909 + 0.468034i
\(157\) 17.3334i 1.38336i −0.722204 0.691680i \(-0.756871\pi\)
0.722204 0.691680i \(-0.243129\pi\)
\(158\) 1.49365 + 5.57438i 0.118828 + 0.443474i
\(159\) 12.2389 9.14716i 0.970608 0.725417i
\(160\) −2.23577 0.0365349i −0.176753 0.00288833i
\(161\) −2.03854 2.03854i −0.160659 0.160659i
\(162\) −2.76691 + 8.56412i −0.217389 + 0.672861i
\(163\) −14.0393 3.76181i −1.09964 0.294648i −0.337022 0.941497i \(-0.609420\pi\)
−0.762618 + 0.646849i \(0.776086\pi\)
\(164\) 0.214591 0.214591i 0.0167567 0.0167567i
\(165\) −19.5124 8.75381i −1.51904 0.681483i
\(166\) 8.68968 + 5.01699i 0.674450 + 0.389394i
\(167\) −16.3843 + 4.39016i −1.26786 + 0.339721i −0.829209 0.558939i \(-0.811209\pi\)
−0.438647 + 0.898660i \(0.644542\pi\)
\(168\) 0.784677 + 0.336737i 0.0605392 + 0.0259799i
\(169\) 12.9454 1.19069i 0.995797 0.0915913i
\(170\) −5.70506 3.41930i −0.437558 0.262249i
\(171\) 6.98824 11.4251i 0.534404 0.873699i
\(172\) −0.262796 0.151725i −0.0200380 0.0115689i
\(173\) 19.5222 11.2712i 1.48425 0.856930i 0.484407 0.874843i \(-0.339036\pi\)
0.999840 + 0.0179130i \(0.00570219\pi\)
\(174\) 3.58843 + 8.98361i 0.272038 + 0.681046i
\(175\) −2.40052 + 0.559839i −0.181462 + 0.0423198i
\(176\) 5.33370 + 1.42916i 0.402042 + 0.107727i
\(177\) 21.4463 8.56656i 1.61200 0.643902i
\(178\) 7.79736 4.50181i 0.584436 0.337425i
\(179\) −8.11445 + 14.0546i −0.606502 + 1.05049i 0.385310 + 0.922787i \(0.374095\pi\)
−0.991812 + 0.127706i \(0.959239\pi\)
\(180\) 3.10907 + 5.94421i 0.231737 + 0.443055i
\(181\) 19.9269i 1.48115i −0.671973 0.740576i \(-0.734553\pi\)
0.671973 0.740576i \(-0.265447\pi\)
\(182\) −0.0814871 1.77562i −0.00604023 0.131618i
\(183\) −2.03278 0.872349i −0.150267 0.0644859i
\(184\) 1.51354 + 5.64860i 0.111580 + 0.416420i
\(185\) 5.05181 + 9.08981i 0.371416 + 0.668296i
\(186\) 6.54189 0.777042i 0.479674 0.0569755i
\(187\) 11.6142 + 11.6142i 0.849313 + 0.849313i
\(188\) −6.39352 1.71314i −0.466296 0.124944i
\(189\) −0.237577 2.55060i −0.0172812 0.185529i
\(190\) −2.42576 9.68323i −0.175983 0.702495i
\(191\) 11.8660 6.85084i 0.858594 0.495709i −0.00494724 0.999988i \(-0.501575\pi\)
0.863541 + 0.504278i \(0.168241\pi\)
\(192\) −1.03691 1.38738i −0.0748322 0.100126i
\(193\) −6.35154 23.7043i −0.457194 1.70627i −0.681556 0.731766i \(-0.738697\pi\)
0.224362 0.974506i \(-0.427970\pi\)
\(194\) −11.3418 −0.814296
\(195\) 8.31306 11.2202i 0.595311 0.803496i
\(196\) 6.75696 0.482640
\(197\) 0.641609 + 2.39452i 0.0457127 + 0.170602i 0.985008 0.172507i \(-0.0551866\pi\)
−0.939296 + 0.343109i \(0.888520\pi\)
\(198\) −3.88055 16.1046i −0.275779 1.14451i
\(199\) −2.69792 + 1.55764i −0.191250 + 0.110418i −0.592568 0.805521i \(-0.701886\pi\)
0.401317 + 0.915939i \(0.368552\pi\)
\(200\) 4.78477 + 1.45120i 0.338334 + 0.102616i
\(201\) −3.83902 + 4.87394i −0.270783 + 0.343781i
\(202\) −10.5480 2.82632i −0.742152 0.198859i
\(203\) −1.94696 1.94696i −0.136650 0.136650i
\(204\) −0.607686 5.11608i −0.0425465 0.358197i
\(205\) −0.593146 + 0.329650i −0.0414271 + 0.0230238i
\(206\) 3.32900 + 12.4240i 0.231942 + 0.865621i
\(207\) 12.7156 12.0868i 0.883797 0.840090i
\(208\) −1.65773 + 3.20186i −0.114943 + 0.222009i
\(209\) 24.6511i 1.70515i
\(210\) −1.48042 1.20578i −0.102159 0.0832069i
\(211\) −11.6902 + 20.2480i −0.804786 + 1.39393i 0.111650 + 0.993748i \(0.464387\pi\)
−0.916435 + 0.400183i \(0.868947\pi\)
\(212\) 7.63972 4.41079i 0.524698 0.302935i
\(213\) 9.11996 + 22.8318i 0.624889 + 1.56441i
\(214\) 2.06088 + 0.552212i 0.140879 + 0.0377484i
\(215\) 0.471894 + 0.487573i 0.0321829 + 0.0332522i
\(216\) −2.16953 + 4.72156i −0.147618 + 0.321262i
\(217\) −1.62387 + 0.937542i −0.110235 + 0.0636445i
\(218\) −5.29660 3.05799i −0.358731 0.207113i
\(219\) −0.646740 + 4.47359i −0.0437027 + 0.302297i
\(220\) −10.5907 6.34750i −0.714026 0.427949i
\(221\) −9.03238 + 5.78258i −0.607584 + 0.388978i
\(222\) −3.17669 + 7.40242i −0.213205 + 0.496818i
\(223\) 10.0913 2.70396i 0.675765 0.181071i 0.0954146 0.995438i \(-0.469582\pi\)
0.580350 + 0.814367i \(0.302916\pi\)
\(224\) 0.426940 + 0.246494i 0.0285261 + 0.0164696i
\(225\) −3.03547 14.6897i −0.202365 0.979310i
\(226\) 10.1827 10.1827i 0.677344 0.677344i
\(227\) 20.9998 + 5.62689i 1.39381 + 0.373470i 0.876117 0.482098i \(-0.160125\pi\)
0.517691 + 0.855568i \(0.326792\pi\)
\(228\) 4.78454 6.07435i 0.316864 0.402284i
\(229\) 11.4586 + 11.4586i 0.757208 + 0.757208i 0.975813 0.218605i \(-0.0701507\pi\)
−0.218605 + 0.975813i \(0.570151\pi\)
\(230\) 0.213651 13.0745i 0.0140877 0.862105i
\(231\) 2.82267 + 3.77673i 0.185718 + 0.248491i
\(232\) 1.44555 + 5.39485i 0.0949048 + 0.354189i
\(233\) 17.6976i 1.15941i 0.814828 + 0.579703i \(0.196831\pi\)
−0.814828 + 0.579703i \(0.803169\pi\)
\(234\) 10.8144 0.221854i 0.706958 0.0145030i
\(235\) 12.6951 + 7.60878i 0.828139 + 0.496342i
\(236\) 12.8790 3.45091i 0.838350 0.224635i
\(237\) 8.00661 5.98401i 0.520085 0.388703i
\(238\) 0.733205 + 1.26995i 0.0475266 + 0.0823185i
\(239\) 2.19890 + 2.19890i 0.142235 + 0.142235i 0.774639 0.632404i \(-0.217932\pi\)
−0.632404 + 0.774639i \(0.717932\pi\)
\(240\) 1.37770 + 3.61966i 0.0889303 + 0.233648i
\(241\) −2.75426 + 10.2790i −0.177418 + 0.662132i 0.818710 + 0.574208i \(0.194690\pi\)
−0.996127 + 0.0879239i \(0.971977\pi\)
\(242\) 13.7821 + 13.7821i 0.885946 + 0.885946i
\(243\) 15.5529 1.05188i 0.997721 0.0674781i
\(244\) −1.10603 0.638565i −0.0708061 0.0408799i
\(245\) −14.5284 4.14844i −0.928183 0.265034i
\(246\) −0.483037 0.207291i −0.0307973 0.0132164i
\(247\) −15.7224 3.44886i −1.00039 0.219445i
\(248\) 3.80351 0.241523
\(249\) 2.48666 17.2005i 0.157585 1.09004i
\(250\) −9.39691 6.05789i −0.594313 0.383134i
\(251\) −7.05000 12.2109i −0.444992 0.770748i 0.553060 0.833141i \(-0.313460\pi\)
−0.998052 + 0.0623932i \(0.980127\pi\)
\(252\) 0.0374849 1.47849i 0.00236133 0.0931360i
\(253\) −8.35753 + 31.1907i −0.525433 + 1.96094i
\(254\) 5.70089 + 1.52755i 0.357706 + 0.0958470i
\(255\) −1.83441 + 11.3733i −0.114875 + 0.712226i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −17.0832 9.86300i −1.06562 0.615237i −0.138640 0.990343i \(-0.544273\pi\)
−0.926982 + 0.375106i \(0.877606\pi\)
\(258\) −0.0752022 + 0.520184i −0.00468188 + 0.0323852i
\(259\) 2.29274i 0.142464i
\(260\) 5.53013 5.86666i 0.342964 0.363835i
\(261\) 12.1444 11.5438i 0.751720 0.714545i
\(262\) −1.52545 + 0.408744i −0.0942429 + 0.0252523i
\(263\) −1.02790 + 1.78038i −0.0633831 + 0.109783i −0.895976 0.444103i \(-0.853522\pi\)
0.832593 + 0.553886i \(0.186856\pi\)
\(264\) −1.12809 9.49736i −0.0694293 0.584522i
\(265\) −19.1344 + 4.79338i −1.17542 + 0.294455i
\(266\) −0.569619 + 2.12585i −0.0349256 + 0.130344i
\(267\) −12.2508 9.64950i −0.749737 0.590540i
\(268\) −2.53290 + 2.53290i −0.154721 + 0.154721i
\(269\) −11.2599 + 6.50088i −0.686525 + 0.396366i −0.802309 0.596909i \(-0.796395\pi\)
0.115784 + 0.993274i \(0.463062\pi\)
\(270\) 7.56358 8.82000i 0.460305 0.536768i
\(271\) 23.6810 6.34532i 1.43852 0.385450i 0.546505 0.837456i \(-0.315958\pi\)
0.892015 + 0.452005i \(0.149291\pi\)
\(272\) 2.97454i 0.180358i
\(273\) −2.80370 + 1.27190i −0.169687 + 0.0769787i
\(274\) −11.9266 −0.720509
\(275\) 18.8744 + 20.1501i 1.13817 + 1.21510i
\(276\) 8.11321 6.06368i 0.488358 0.364991i
\(277\) −1.52099 2.63443i −0.0913874 0.158288i 0.816708 0.577051i \(-0.195797\pi\)
−0.908095 + 0.418764i \(0.862463\pi\)
\(278\) −0.945854 + 0.945854i −0.0567285 + 0.0567285i
\(279\) −5.45297 10.0232i −0.326461 0.600075i
\(280\) −0.766642 0.792114i −0.0458156 0.0473379i
\(281\) 7.21651 7.21651i 0.430501 0.430501i −0.458298 0.888799i \(-0.651541\pi\)
0.888799 + 0.458298i \(0.151541\pi\)
\(282\) 1.35225 + 11.3845i 0.0805252 + 0.677938i
\(283\) 4.08610 7.07732i 0.242893 0.420703i −0.718644 0.695378i \(-0.755237\pi\)
0.961537 + 0.274675i \(0.0885702\pi\)
\(284\) 3.67384 + 13.7110i 0.218002 + 0.813596i
\(285\) −14.0167 + 10.1232i −0.830279 + 0.599646i
\(286\) −16.7675 + 10.7346i −0.991482 + 0.634752i
\(287\) 0.149610 0.00883122
\(288\) −1.56537 + 2.55922i −0.0922402 + 0.150804i
\(289\) −4.07607 + 7.05996i −0.239769 + 0.415292i
\(290\) 0.204053 12.4871i 0.0119824 0.733270i
\(291\) 7.28705 + 18.2431i 0.427174 + 1.06943i
\(292\) −0.675435 + 2.52076i −0.0395269 + 0.147516i
\(293\) 3.85123 14.3730i 0.224991 0.839678i −0.757417 0.652931i \(-0.773539\pi\)
0.982408 0.186747i \(-0.0597944\pi\)
\(294\) −4.34130 10.8684i −0.253190 0.633860i
\(295\) −29.8102 0.487130i −1.73562 0.0283618i
\(296\) −2.32535 + 4.02763i −0.135158 + 0.234101i
\(297\) −23.4107 + 16.5889i −1.35843 + 0.962585i
\(298\) 18.4505 1.06881
\(299\) −18.7240 9.69419i −1.08284 0.560630i
\(300\) −0.739950 8.62858i −0.0427211 0.498172i
\(301\) −0.0387186 0.144500i −0.00223171 0.00832884i
\(302\) −7.08594 + 12.2732i −0.407750 + 0.706243i
\(303\) 2.23092 + 18.7820i 0.128163 + 1.07900i
\(304\) 3.15673 3.15673i 0.181051 0.181051i
\(305\) 1.98606 + 2.05204i 0.113721 + 0.117500i
\(306\) −7.83867 + 4.26450i −0.448107 + 0.243785i
\(307\) 0.179933 0.179933i 0.0102693 0.0102693i −0.701953 0.712223i \(-0.747689\pi\)
0.712223 + 0.701953i \(0.247689\pi\)
\(308\) 1.36110 + 2.35750i 0.0775560 + 0.134331i
\(309\) 17.8449 13.3370i 1.01516 0.758713i
\(310\) −8.17805 2.33516i −0.464482 0.132628i
\(311\) −12.6072 −0.714890 −0.357445 0.933934i \(-0.616352\pi\)
−0.357445 + 0.933934i \(0.616352\pi\)
\(312\) 6.21521 + 0.609252i 0.351867 + 0.0344921i
\(313\) 2.88734i 0.163202i 0.996665 + 0.0816011i \(0.0260033\pi\)
−0.996665 + 0.0816011i \(0.973997\pi\)
\(314\) −16.7428 + 4.48623i −0.944852 + 0.253172i
\(315\) −0.988315 + 3.15593i −0.0556852 + 0.177816i
\(316\) 4.99785 2.88551i 0.281151 0.162323i
\(317\) 8.74988 8.74988i 0.491442 0.491442i −0.417318 0.908760i \(-0.637030\pi\)
0.908760 + 0.417318i \(0.137030\pi\)
\(318\) −12.0031 9.45442i −0.673102 0.530177i
\(319\) −7.98209 + 29.7896i −0.446911 + 1.66790i
\(320\) 0.543370 + 2.16904i 0.0303753 + 0.121253i
\(321\) −0.435883 3.66968i −0.0243286 0.204821i
\(322\) −1.44146 + 2.49669i −0.0803295 + 0.139135i
\(323\) 12.8267 3.43690i 0.713696 0.191234i
\(324\) 8.98844 + 0.456070i 0.499358 + 0.0253372i
\(325\) −15.4923 + 9.21887i −0.859360 + 0.511371i
\(326\) 14.5345i 0.804993i
\(327\) −1.51568 + 10.4842i −0.0838175 + 0.579777i
\(328\) −0.262819 0.151738i −0.0145117 0.00837835i
\(329\) −1.63156 2.82594i −0.0899507 0.155799i
\(330\) −3.40535 + 21.1132i −0.187459 + 1.16224i
\(331\) 7.81701 + 2.09456i 0.429662 + 0.115128i 0.467167 0.884169i \(-0.345275\pi\)
−0.0375056 + 0.999296i \(0.511941\pi\)
\(332\) 2.59698 9.69207i 0.142528 0.531922i
\(333\) 13.9476 + 0.353622i 0.764326 + 0.0193784i
\(334\) 8.48114 + 14.6898i 0.464067 + 0.803788i
\(335\) 7.00113 3.89099i 0.382512 0.212587i
\(336\) 0.122174 0.845094i 0.00666514 0.0461037i
\(337\) −22.3747 −1.21883 −0.609415 0.792851i \(-0.708596\pi\)
−0.609415 + 0.792851i \(0.708596\pi\)
\(338\) −4.50062 12.1961i −0.244801 0.663379i
\(339\) −22.9210 9.83635i −1.24490 0.534237i
\(340\) −1.82621 + 6.39564i −0.0990404 + 0.346852i
\(341\) 18.1886 + 10.5012i 0.984969 + 0.568672i
\(342\) −12.8445 3.79309i −0.694551 0.205107i
\(343\) 4.79561 + 4.79561i 0.258938 + 0.258938i
\(344\) −0.0785388 + 0.293111i −0.00423453 + 0.0158035i
\(345\) −21.1673 + 8.05661i −1.13961 + 0.433753i
\(346\) −15.9398 15.9398i −0.856930 0.856930i
\(347\) 3.09273 + 5.35676i 0.166026 + 0.287566i 0.937019 0.349278i \(-0.113573\pi\)
−0.770993 + 0.636844i \(0.780240\pi\)
\(348\) 7.74875 5.79129i 0.415377 0.310446i
\(349\) 26.4072 7.07579i 1.41354 0.378758i 0.530356 0.847775i \(-0.322058\pi\)
0.883189 + 0.469017i \(0.155392\pi\)
\(350\) 1.16206 + 2.17383i 0.0621149 + 0.116196i
\(351\) −7.30501 17.2522i −0.389913 0.920852i
\(352\) 5.52185i 0.294316i
\(353\) −1.44442 5.39066i −0.0768789 0.286916i 0.916774 0.399407i \(-0.130784\pi\)
−0.993653 + 0.112491i \(0.964117\pi\)
\(354\) −13.8254 18.4984i −0.734811 0.983178i
\(355\) 0.518599 31.7359i 0.0275244 1.68437i
\(356\) −6.36651 6.36651i −0.337425 0.337425i
\(357\) 1.57160 1.99528i 0.0831781 0.105601i
\(358\) 15.6759 + 4.20035i 0.828498 + 0.221995i
\(359\) 7.36153 7.36153i 0.388527 0.388527i −0.485635 0.874162i \(-0.661412\pi\)
0.874162 + 0.485635i \(0.161412\pi\)
\(360\) 4.93698 4.54161i 0.260202 0.239364i
\(361\) 0.805259 + 0.464917i 0.0423821 + 0.0244693i
\(362\) −19.2479 + 5.15745i −1.01165 + 0.271070i
\(363\) 13.3133 31.0231i 0.698766 1.62829i
\(364\) −1.69403 + 0.538276i −0.0887913 + 0.0282133i
\(365\) 2.99989 5.00528i 0.157022 0.261988i
\(366\) −0.316503 + 2.18929i −0.0165439 + 0.114436i
\(367\) 10.2346 + 5.90897i 0.534244 + 0.308446i 0.742743 0.669577i \(-0.233524\pi\)
−0.208499 + 0.978023i \(0.566858\pi\)
\(368\) 5.06440 2.92393i 0.264000 0.152420i
\(369\) −0.0230752 + 0.910138i −0.00120125 + 0.0473799i
\(370\) 7.47258 7.23228i 0.388481 0.375989i
\(371\) 4.20075 + 1.12559i 0.218092 + 0.0584376i
\(372\) −2.44373 6.11786i −0.126701 0.317196i
\(373\) 4.85038 2.80037i 0.251143 0.144998i −0.369144 0.929372i \(-0.620349\pi\)
0.620288 + 0.784374i \(0.287016\pi\)
\(374\) 8.21247 14.2244i 0.424657 0.735527i
\(375\) −3.70653 + 19.0069i −0.191404 + 0.981511i
\(376\) 6.61906i 0.341352i
\(377\) −17.8829 9.25871i −0.921017 0.476848i
\(378\) −2.40220 + 0.889625i −0.123556 + 0.0457574i
\(379\) −0.380787 1.42112i −0.0195597 0.0729979i 0.955456 0.295133i \(-0.0953640\pi\)
−0.975016 + 0.222135i \(0.928697\pi\)
\(380\) −8.72545 + 4.84930i −0.447606 + 0.248764i
\(381\) −1.20576 10.1512i −0.0617727 0.520062i
\(382\) −9.68855 9.68855i −0.495709 0.495709i
\(383\) −5.25920 1.40920i −0.268733 0.0720067i 0.121936 0.992538i \(-0.461090\pi\)
−0.390669 + 0.920531i \(0.627756\pi\)
\(384\) −1.07174 + 1.36065i −0.0546918 + 0.0694356i
\(385\) −1.47916 5.90458i −0.0753851 0.300925i
\(386\) −21.2527 + 12.2702i −1.08173 + 0.624539i
\(387\) 0.885021 0.213254i 0.0449882 0.0108403i
\(388\) 2.93548 + 10.9554i 0.149027 + 0.556175i
\(389\) 1.50423 0.0762676 0.0381338 0.999273i \(-0.487859\pi\)
0.0381338 + 0.999273i \(0.487859\pi\)
\(390\) −12.9895 5.12580i −0.657747 0.259555i
\(391\) 17.3947 0.879686
\(392\) −1.74883 6.52673i −0.0883293 0.329649i
\(393\) 1.63755 + 2.19104i 0.0826035 + 0.110524i
\(394\) 2.14687 1.23949i 0.108158 0.0624448i
\(395\) −12.5176 + 3.13580i −0.629829 + 0.157779i
\(396\) −14.5515 + 7.91650i −0.731241 + 0.397819i
\(397\) 22.9309 + 6.14432i 1.15087 + 0.308374i 0.783313 0.621627i \(-0.213528\pi\)
0.367556 + 0.930001i \(0.380195\pi\)
\(398\) 2.20284 + 2.20284i 0.110418 + 0.110418i
\(399\) 3.78535 0.449622i 0.189505 0.0225093i
\(400\) 0.163367 4.99733i 0.00816835 0.249867i
\(401\) −3.92557 14.6504i −0.196034 0.731608i −0.991997 0.126263i \(-0.959702\pi\)
0.795963 0.605345i \(-0.206965\pi\)
\(402\) 5.70148 + 2.44674i 0.284364 + 0.122032i
\(403\) −9.24234 + 10.1314i −0.460394 + 0.504683i
\(404\) 10.9200i 0.543293i
\(405\) −19.0463 6.49906i −0.946419 0.322941i
\(406\) −1.37671 + 2.38453i −0.0683249 + 0.118342i
\(407\) −22.2400 + 12.8402i −1.10239 + 0.636468i
\(408\) −4.78448 + 1.91112i −0.236867 + 0.0946145i
\(409\) −36.7959 9.85942i −1.81944 0.487517i −0.822718 0.568449i \(-0.807544\pi\)
−0.996720 + 0.0809322i \(0.974210\pi\)
\(410\) 0.471935 + 0.487615i 0.0233072 + 0.0240816i
\(411\) 7.66273 + 19.1836i 0.377975 + 0.946257i
\(412\) 11.1391 6.43113i 0.548782 0.316839i
\(413\) 5.69252 + 3.28658i 0.280111 + 0.161722i
\(414\) −14.9660 9.15405i −0.735538 0.449897i
\(415\) −11.5343 + 19.2448i −0.566197 + 0.944691i
\(416\) 3.52181 + 0.772544i 0.172671 + 0.0378771i
\(417\) 2.12909 + 0.913680i 0.104262 + 0.0447431i
\(418\) 23.8111 6.38017i 1.16464 0.312065i
\(419\) −31.0900 17.9498i −1.51885 0.876906i −0.999754 0.0221874i \(-0.992937\pi\)
−0.519092 0.854719i \(-0.673730\pi\)
\(420\) −0.781535 + 1.74205i −0.0381350 + 0.0850036i
\(421\) −7.04471 + 7.04471i −0.343338 + 0.343338i −0.857621 0.514283i \(-0.828058\pi\)
0.514283 + 0.857621i \(0.328058\pi\)
\(422\) 22.5837 + 6.05129i 1.09936 + 0.294572i
\(423\) 17.4429 9.48954i 0.848105 0.461397i
\(424\) −6.23781 6.23781i −0.302935 0.302935i
\(425\) 7.85320 12.6303i 0.380936 0.612658i
\(426\) 19.6934 14.7185i 0.954147 0.713114i
\(427\) −0.162955 0.608155i −0.00788593 0.0294307i
\(428\) 2.13358i 0.103131i
\(429\) 28.0394 + 20.0732i 1.35376 + 0.969143i
\(430\) 0.348824 0.582008i 0.0168218 0.0280669i
\(431\) −14.4373 + 3.86847i −0.695422 + 0.186338i −0.589179 0.808002i \(-0.700549\pi\)
−0.106243 + 0.994340i \(0.533882\pi\)
\(432\) 5.12219 + 0.873575i 0.246442 + 0.0420299i
\(433\) 0.606405 + 1.05032i 0.0291420 + 0.0504754i 0.880229 0.474550i \(-0.157389\pi\)
−0.851087 + 0.525025i \(0.824056\pi\)
\(434\) 1.32588 + 1.32588i 0.0636445 + 0.0636445i
\(435\) −20.2164 + 7.69469i −0.969302 + 0.368932i
\(436\) −1.58293 + 5.90758i −0.0758087 + 0.282922i
\(437\) 18.4601 + 18.4601i 0.883066 + 0.883066i
\(438\) 4.48855 0.533148i 0.214471 0.0254748i
\(439\) −32.3386 18.6707i −1.54344 0.891104i −0.998618 0.0525511i \(-0.983265\pi\)
−0.544820 0.838553i \(-0.683402\pi\)
\(440\) −3.39014 + 11.8727i −0.161618 + 0.566009i
\(441\) −14.6924 + 13.9658i −0.699637 + 0.665037i
\(442\) 7.92330 + 7.22797i 0.376873 + 0.343800i
\(443\) −39.8774 −1.89463 −0.947315 0.320303i \(-0.896215\pi\)
−0.947315 + 0.320303i \(0.896215\pi\)
\(444\) 7.97238 + 1.15255i 0.378352 + 0.0546978i
\(445\) 9.78012 + 17.5976i 0.463622 + 0.834204i
\(446\) −5.22365 9.04763i −0.247347 0.428418i
\(447\) −11.8543 29.6772i −0.560689 1.40368i
\(448\) 0.127595 0.476190i 0.00602828 0.0224978i
\(449\) 35.9353 + 9.62882i 1.69589 + 0.454412i 0.971899 0.235398i \(-0.0756394\pi\)
0.723990 + 0.689810i \(0.242306\pi\)
\(450\) −13.4035 + 6.73400i −0.631846 + 0.317444i
\(451\) −0.837877 1.45124i −0.0394541 0.0683365i
\(452\) −12.4712 7.20026i −0.586597 0.338672i
\(453\) 24.2938 + 3.51212i 1.14142 + 0.165014i
\(454\) 21.7406i 1.02034i
\(455\) 3.97286 0.117314i 0.186251 0.00549978i
\(456\) −7.10570 3.04935i −0.332755 0.142799i
\(457\) −20.9612 + 5.61653i −0.980523 + 0.262730i −0.713265 0.700895i \(-0.752784\pi\)
−0.267258 + 0.963625i \(0.586118\pi\)
\(458\) 8.10248 14.0339i 0.378604 0.655761i
\(459\) 11.8956 + 9.86842i 0.555241 + 0.460619i
\(460\) −12.6843 + 3.17755i −0.591407 + 0.148154i
\(461\) −0.696091 + 2.59785i −0.0324202 + 0.120994i −0.980240 0.197814i \(-0.936616\pi\)
0.947819 + 0.318808i \(0.103282\pi\)
\(462\) 2.91748 3.70398i 0.135734 0.172325i
\(463\) 4.00917 4.00917i 0.186322 0.186322i −0.607782 0.794104i \(-0.707941\pi\)
0.794104 + 0.607782i \(0.207941\pi\)
\(464\) 4.83689 2.79258i 0.224547 0.129642i
\(465\) 1.49828 + 14.6545i 0.0694811 + 0.679588i
\(466\) 17.0945 4.58047i 0.791889 0.212186i
\(467\) 9.80252i 0.453607i 0.973941 + 0.226803i \(0.0728275\pi\)
−0.973941 + 0.226803i \(0.927173\pi\)
\(468\) −3.01326 10.3885i −0.139288 0.480207i
\(469\) −1.76591 −0.0815421
\(470\) 4.06377 14.2319i 0.187448 0.656466i
\(471\) 17.9732 + 24.0481i 0.828159 + 1.10808i
\(472\) −6.66665 11.5470i −0.306858 0.531493i
\(473\) −1.18483 + 1.18483i −0.0544787 + 0.0544787i
\(474\) −7.85237 6.18502i −0.360671 0.284087i
\(475\) 21.7381 5.06966i 0.997412 0.232612i
\(476\) 1.03691 1.03691i 0.0475266 0.0475266i
\(477\) −7.49529 + 25.3812i −0.343186 + 1.16212i
\(478\) 1.55486 2.69310i 0.0711177 0.123179i
\(479\) −8.20059 30.6050i −0.374694 1.39838i −0.853791 0.520616i \(-0.825702\pi\)
0.479096 0.877762i \(-0.340964\pi\)
\(480\) 3.13975 2.26759i 0.143309 0.103501i
\(481\) −5.07794 15.9810i −0.231534 0.728671i
\(482\) 10.6417 0.484714
\(483\) 4.94199 + 0.714456i 0.224869 + 0.0325089i
\(484\) 9.74541 16.8795i 0.442973 0.767252i
\(485\) 0.414372 25.3577i 0.0188157 1.15143i
\(486\) −5.04143 14.7507i −0.228684 0.669107i
\(487\) 7.00795 26.1540i 0.317561 1.18515i −0.604021 0.796968i \(-0.706436\pi\)
0.921582 0.388184i \(-0.126898\pi\)
\(488\) −0.330545 + 1.23361i −0.0149631 + 0.0558430i
\(489\) 23.3785 9.33833i 1.05721 0.422294i
\(490\) −0.246865 + 15.1070i −0.0111522 + 0.682465i
\(491\) −4.08027 + 7.06723i −0.184140 + 0.318940i −0.943286 0.331980i \(-0.892283\pi\)
0.759146 + 0.650920i \(0.225617\pi\)
\(492\) −0.0752087 + 0.520229i −0.00339067 + 0.0234537i
\(493\) 16.6133 0.748224
\(494\) 0.737912 + 16.0793i 0.0332002 + 0.723441i
\(495\) 36.1480 8.08763i 1.62473 0.363512i
\(496\) −0.984421 3.67391i −0.0442018 0.164963i
\(497\) −3.49889 + 6.06026i −0.156947 + 0.271840i
\(498\) −17.2580 + 2.04990i −0.773351 + 0.0918583i
\(499\) 16.8259 16.8259i 0.753231 0.753231i −0.221850 0.975081i \(-0.571209\pi\)
0.975081 + 0.221850i \(0.0712094\pi\)
\(500\) −3.41937 + 10.6446i −0.152919 + 0.476042i
\(501\) 18.1791 23.0798i 0.812182 1.03113i
\(502\) −9.97020 + 9.97020i −0.444992 + 0.444992i
\(503\) 10.7934 + 18.6947i 0.481253 + 0.833555i 0.999769 0.0215131i \(-0.00684838\pi\)
−0.518515 + 0.855068i \(0.673515\pi\)
\(504\) −1.43781 + 0.346453i −0.0640452 + 0.0154323i
\(505\) 6.70436 23.4795i 0.298340 1.04483i
\(506\) 32.2910 1.43551
\(507\) −16.7255 + 15.0751i −0.742806 + 0.669507i
\(508\) 5.90200i 0.261859i
\(509\) 4.37808 1.17310i 0.194055 0.0519969i −0.160482 0.987039i \(-0.551305\pi\)
0.354537 + 0.935042i \(0.384638\pi\)
\(510\) 11.4606 1.17173i 0.507483 0.0518851i
\(511\) −1.11418 + 0.643270i −0.0492883 + 0.0284566i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) 2.15139 + 23.0971i 0.0949863 + 1.01976i
\(514\) −5.10546 + 19.0538i −0.225192 + 0.840429i
\(515\) −27.8988 + 6.98897i −1.22937 + 0.307971i
\(516\) 0.521923 0.0619938i 0.0229764 0.00272912i
\(517\) −18.2747 + 31.6528i −0.803722 + 1.39209i
\(518\) −2.21462 + 0.593405i −0.0973047 + 0.0260727i
\(519\) −15.3976 + 35.8801i −0.675881 + 1.57496i
\(520\) −7.09806 3.82329i −0.311271 0.167662i
\(521\) 24.3454i 1.06659i −0.845929 0.533295i \(-0.820954\pi\)
0.845929 0.533295i \(-0.179046\pi\)
\(522\) −14.2937 8.74283i −0.625617 0.382663i
\(523\) 26.5381 + 15.3218i 1.16043 + 0.669975i 0.951407 0.307935i \(-0.0996380\pi\)
0.209024 + 0.977910i \(0.432971\pi\)
\(524\) 0.789633 + 1.36768i 0.0344953 + 0.0597476i
\(525\) 2.74994 3.26582i 0.120017 0.142532i
\(526\) 1.98575 + 0.532081i 0.0865829 + 0.0231998i
\(527\) 2.92819 10.9282i 0.127554 0.476039i
\(528\) −8.88177 + 3.54775i −0.386530 + 0.154396i
\(529\) 5.59874 + 9.69731i 0.243424 + 0.421622i
\(530\) 9.58240 + 17.2418i 0.416233 + 0.748936i
\(531\) −20.8715 + 34.1229i −0.905747 + 1.48081i
\(532\) 2.20084 0.0954184
\(533\) 1.04282 0.331356i 0.0451697 0.0143526i
\(534\) −6.14996 + 14.3308i −0.266135 + 0.620156i
\(535\) −1.30991 + 4.58748i −0.0566324 + 0.198334i
\(536\) 3.10215 + 1.79103i 0.133992 + 0.0773606i
\(537\) −3.31550 27.9131i −0.143074 1.20454i
\(538\) 9.19363 + 9.19363i 0.396366 + 0.396366i
\(539\) 9.65678 36.0396i 0.415947 1.55234i
\(540\) −10.4771 5.02307i −0.450861 0.216159i
\(541\) 1.33394 + 1.33394i 0.0573504 + 0.0573504i 0.735200 0.677850i \(-0.237088\pi\)
−0.677850 + 0.735200i \(0.737088\pi\)
\(542\) −12.2582 21.2318i −0.526535 0.911986i
\(543\) 20.6623 + 27.6462i 0.886703 + 1.18641i
\(544\) −2.87318 + 0.769866i −0.123187 + 0.0330077i
\(545\) 7.03047 11.7302i 0.301152 0.502468i
\(546\) 1.95421 + 2.37897i 0.0836324 + 0.101811i
\(547\) 20.2282i 0.864895i 0.901659 + 0.432447i \(0.142350\pi\)
−0.901659 + 0.432447i \(0.857650\pi\)
\(548\) 3.08682 + 11.5202i 0.131862 + 0.492117i
\(549\) 3.72478 0.897518i 0.158970 0.0383051i
\(550\) 14.5785 23.4465i 0.621629 0.999762i
\(551\) 17.6308 + 17.6308i 0.751098 + 0.751098i
\(552\) −7.95692 6.26737i −0.338669 0.266757i
\(553\) 2.74810 + 0.736352i 0.116861 + 0.0313129i
\(554\) −2.15100 + 2.15100i −0.0913874 + 0.0913874i
\(555\) −16.4341 7.37278i −0.697587 0.312957i
\(556\) 1.15843 + 0.668820i 0.0491284 + 0.0283643i
\(557\) 29.1168 7.80182i 1.23372 0.330574i 0.417692 0.908589i \(-0.362839\pi\)
0.816026 + 0.578015i \(0.196172\pi\)
\(558\) −8.27037 + 7.86137i −0.350113 + 0.332798i
\(559\) −0.589916 0.921449i −0.0249508 0.0389731i
\(560\) −0.566702 + 0.945533i −0.0239475 + 0.0399561i
\(561\) −28.1561 4.07049i −1.18875 0.171856i
\(562\) −8.83838 5.10284i −0.372825 0.215250i
\(563\) −6.61550 + 3.81946i −0.278810 + 0.160971i −0.632885 0.774246i \(-0.718129\pi\)
0.354075 + 0.935217i \(0.384796\pi\)
\(564\) 10.6466 4.25270i 0.448303 0.179071i
\(565\) 22.3942 + 23.1382i 0.942130 + 0.973432i
\(566\) −7.89373 2.11512i −0.331798 0.0889051i
\(567\) 2.97434 + 3.29231i 0.124911 + 0.138264i
\(568\) 12.2929 7.09732i 0.515799 0.297797i
\(569\) −15.8971 + 27.5346i −0.666443 + 1.15431i 0.312449 + 0.949934i \(0.398851\pi\)
−0.978892 + 0.204378i \(0.934483\pi\)
\(570\) 13.4060 + 10.9190i 0.561517 + 0.457348i
\(571\) 18.1414i 0.759196i 0.925152 + 0.379598i \(0.123938\pi\)
−0.925152 + 0.379598i \(0.876062\pi\)
\(572\) 14.7086 + 13.4178i 0.614997 + 0.561027i
\(573\) −9.35899 + 21.8087i −0.390978 + 0.911070i
\(574\) −0.0387220 0.144513i −0.00161623 0.00603184i
\(575\) 29.2237 + 0.955348i 1.21871 + 0.0398408i
\(576\) 2.87717 + 0.849653i 0.119882 + 0.0354022i
\(577\) 1.41380 + 1.41380i 0.0588574 + 0.0588574i 0.735923 0.677065i \(-0.236749\pi\)
−0.677065 + 0.735923i \(0.736749\pi\)
\(578\) 7.87436 + 2.10993i 0.327530 + 0.0877615i
\(579\) 33.3911 + 26.3009i 1.38769 + 1.09303i
\(580\) −12.1145 + 3.03481i −0.503026 + 0.126014i
\(581\) 4.28390 2.47331i 0.177726 0.102610i
\(582\) 15.7354 11.7604i 0.652255 0.487485i
\(583\) −12.6075 47.0517i −0.522148 1.94868i
\(584\) 2.60968 0.107989
\(585\) 0.100912 + 24.1866i 0.00417221 + 0.999991i
\(586\) −14.8800 −0.614687
\(587\) −0.0232614 0.0868129i −0.000960102 0.00358315i 0.965444 0.260610i \(-0.0839237\pi\)
−0.966404 + 0.257027i \(0.917257\pi\)
\(588\) −9.37448 + 7.00633i −0.386597 + 0.288936i
\(589\) 14.7051 8.48997i 0.605912 0.349823i
\(590\) 7.24491 + 28.9205i 0.298268 + 1.19064i
\(591\) −3.37304 2.65682i −0.138749 0.109287i
\(592\) 4.49224 + 1.20369i 0.184630 + 0.0494714i
\(593\) −12.6305 12.6305i −0.518672 0.518672i 0.398497 0.917170i \(-0.369532\pi\)
−0.917170 + 0.398497i \(0.869532\pi\)
\(594\) 22.0828 + 18.3195i 0.906067 + 0.751657i
\(595\) −2.86610 + 1.59288i −0.117499 + 0.0653017i
\(596\) −4.77533 17.8218i −0.195605 0.730008i
\(597\) 2.12791 4.95854i 0.0870896 0.202939i
\(598\) −4.51773 + 20.5951i −0.184744 + 0.842196i
\(599\) 12.1102i 0.494810i 0.968912 + 0.247405i \(0.0795779\pi\)
−0.968912 + 0.247405i \(0.920422\pi\)
\(600\) −8.14306 + 2.94798i −0.332439 + 0.120351i
\(601\) −2.19434 + 3.80071i −0.0895089 + 0.155034i −0.907304 0.420476i \(-0.861863\pi\)
0.817795 + 0.575510i \(0.195196\pi\)
\(602\) −0.129555 + 0.0747987i −0.00528027 + 0.00304857i
\(603\) 0.272366 10.7427i 0.0110916 0.437477i
\(604\) 13.6890 + 3.66795i 0.556997 + 0.149247i
\(605\) −31.3171 + 30.3100i −1.27322 + 1.23228i
\(606\) 17.5647 7.01606i 0.713515 0.285008i
\(607\) 35.8563 20.7017i 1.45536 0.840255i 0.456586 0.889679i \(-0.349072\pi\)
0.998778 + 0.0494247i \(0.0157388\pi\)
\(608\) −3.86618 2.23214i −0.156794 0.0905253i
\(609\) 4.71999 + 0.682361i 0.191264 + 0.0276507i
\(610\) 1.46809 2.44949i 0.0594413 0.0991769i
\(611\) −17.6313 16.0840i −0.713284 0.650688i
\(612\) 6.14799 + 6.46784i 0.248518 + 0.261447i
\(613\) −12.8090 + 3.43216i −0.517350 + 0.138623i −0.508041 0.861333i \(-0.669630\pi\)
−0.00930939 + 0.999957i \(0.502963\pi\)
\(614\) −0.220372 0.127232i −0.00889351 0.00513467i
\(615\) 0.481103 1.07239i 0.0193999 0.0432428i
\(616\) 1.92489 1.92489i 0.0775560 0.0775560i
\(617\) 2.38347 + 0.638648i 0.0959547 + 0.0257110i 0.306477 0.951878i \(-0.400850\pi\)
−0.210522 + 0.977589i \(0.567516\pi\)
\(618\) −17.5011 13.7850i −0.703998 0.554512i
\(619\) 9.50120 + 9.50120i 0.381886 + 0.381886i 0.871781 0.489895i \(-0.162965\pi\)
−0.489895 + 0.871781i \(0.662965\pi\)
\(620\) −0.138961 + 8.50377i −0.00558079 + 0.341520i
\(621\) −5.10855 + 29.9539i −0.204999 + 1.20201i
\(622\) 3.26299 + 12.1776i 0.130834 + 0.488279i
\(623\) 4.43867i 0.177832i
\(624\) −1.02012 6.16112i −0.0408376 0.246642i
\(625\) 13.8874 20.7880i 0.555494 0.831520i
\(626\) 2.78896 0.747299i 0.111469 0.0298681i
\(627\) −25.5609 34.2005i −1.02080 1.36584i
\(628\) 8.66672 + 15.0112i 0.345840 + 0.599012i
\(629\) 9.78190 + 9.78190i 0.390030 + 0.390030i
\(630\) 3.30419 + 0.137824i 0.131642 + 0.00549104i
\(631\) −2.83329 + 10.5740i −0.112791 + 0.420943i −0.999112 0.0421284i \(-0.986586\pi\)
0.886321 + 0.463072i \(0.153253\pi\)
\(632\) −4.08073 4.08073i −0.162323 0.162323i
\(633\) −4.77652 40.2133i −0.189850 1.59834i
\(634\) −10.7164 6.18710i −0.425601 0.245721i
\(635\) −3.62353 + 12.6901i −0.143795 + 0.503590i
\(636\) −6.02563 + 14.0411i −0.238932 + 0.556767i
\(637\) 21.6349 + 11.2012i 0.857205 + 0.443809i
\(638\) 30.8404 1.22098
\(639\) −36.3272 22.2198i −1.43708 0.879003i
\(640\) 1.95450 1.08624i 0.0772584 0.0429376i
\(641\) 16.8006 + 29.0996i 0.663586 + 1.14936i 0.979667 + 0.200632i \(0.0642995\pi\)
−0.316081 + 0.948732i \(0.602367\pi\)
\(642\) −3.43182 + 1.37081i −0.135443 + 0.0541016i
\(643\) 12.4307 46.3920i 0.490219 1.82952i −0.0650938 0.997879i \(-0.520735\pi\)
0.555312 0.831642i \(-0.312599\pi\)
\(644\) 2.78469 + 0.746156i 0.109732 + 0.0294026i
\(645\) −1.16026 0.187140i −0.0456853 0.00736861i
\(646\) −6.63959 11.5001i −0.261231 0.452465i
\(647\) −39.8373 23.0001i −1.56617 0.904227i −0.996610 0.0822746i \(-0.973782\pi\)
−0.569557 0.821952i \(-0.692885\pi\)
\(648\) −1.88585 8.80020i −0.0740831 0.345705i
\(649\) 73.6245i 2.89001i
\(650\) 12.9145 + 12.5784i 0.506547 + 0.493366i
\(651\) 1.28078 2.98453i 0.0501979 0.116973i
\(652\) 14.0393 3.76181i 0.549820 0.147324i
\(653\) 9.52336 16.4949i 0.372678 0.645497i −0.617299 0.786729i \(-0.711773\pi\)
0.989977 + 0.141232i \(0.0451063\pi\)
\(654\) 10.5192 1.24947i 0.411335 0.0488582i
\(655\) −0.858125 3.42550i −0.0335297 0.133845i
\(656\) −0.0785456 + 0.293136i −0.00306669 + 0.0114450i
\(657\) −3.74142 6.87719i −0.145967 0.268305i
\(658\) −2.30737 + 2.30737i −0.0899507 + 0.0899507i
\(659\) −2.83852 + 1.63882i −0.110573 + 0.0638393i −0.554267 0.832339i \(-0.687001\pi\)
0.443694 + 0.896179i \(0.353668\pi\)
\(660\) 21.2751 2.17517i 0.828133 0.0846684i
\(661\) −1.23146 + 0.329968i −0.0478981 + 0.0128343i −0.282689 0.959212i \(-0.591226\pi\)
0.234790 + 0.972046i \(0.424560\pi\)
\(662\) 8.09276i 0.314534i
\(663\) 6.53537 17.3884i 0.253813 0.675308i
\(664\) −10.0340 −0.389394
\(665\) −4.73209 1.35120i −0.183503 0.0523974i
\(666\) −3.26834 13.5639i −0.126646 0.525591i
\(667\) 16.3306 + 28.2855i 0.632325 + 1.09522i
\(668\) 11.9941 11.9941i 0.464067 0.464067i
\(669\) −11.1968 + 14.2152i −0.432892 + 0.549590i
\(670\) −5.57043 5.75551i −0.215205 0.222355i
\(671\) −4.98660 + 4.98660i −0.192505 + 0.192505i
\(672\) −0.847919 + 0.100715i −0.0327092 + 0.00388518i
\(673\) 1.65337 2.86372i 0.0637327 0.110388i −0.832398 0.554178i \(-0.813033\pi\)
0.896131 + 0.443789i \(0.146366\pi\)
\(674\) 5.79101 + 21.6123i 0.223061 + 0.832476i
\(675\) 19.4431 + 17.2327i 0.748367 + 0.663285i
\(676\) −10.6157 + 7.50384i −0.408295 + 0.288609i
\(677\) −4.81730 −0.185144 −0.0925719 0.995706i \(-0.529509\pi\)
−0.0925719 + 0.995706i \(0.529509\pi\)
\(678\) −3.56879 + 24.6858i −0.137059 + 0.948053i
\(679\) −2.79569 + 4.84228i −0.107289 + 0.185830i
\(680\) 6.65038 + 0.108674i 0.255030 + 0.00416747i
\(681\) −34.9693 + 13.9682i −1.34003 + 0.535263i
\(682\) 5.43582 20.2868i 0.208148 0.776820i
\(683\) 2.20331 8.22286i 0.0843073 0.314639i −0.910875 0.412683i \(-0.864592\pi\)
0.995182 + 0.0980437i \(0.0312585\pi\)
\(684\) −0.339447 + 13.3886i −0.0129791 + 0.511924i
\(685\) 0.435735 26.6650i 0.0166486 1.01882i
\(686\) 3.39101 5.87340i 0.129469 0.224247i
\(687\) −27.7790 4.01597i −1.05984 0.153219i
\(688\) 0.303451 0.0115689
\(689\) 31.7732 1.45814i 1.21046 0.0555508i
\(690\) 13.2606 + 18.3608i 0.504822 + 0.698984i
\(691\) −13.1431 49.0506i −0.499985 1.86597i −0.500094 0.865971i \(-0.666701\pi\)
0.000109010 1.00000i \(-0.499965\pi\)
\(692\) −11.2712 + 19.5222i −0.428465 + 0.742123i
\(693\) −7.83223 2.31293i −0.297522 0.0878609i
\(694\) 4.37378 4.37378i 0.166026 0.166026i
\(695\) −2.08015 2.14927i −0.0789048 0.0815264i
\(696\) −7.59948 5.98582i −0.288057 0.226892i
\(697\) −0.638307 + 0.638307i −0.0241776 + 0.0241776i
\(698\) −13.6694 23.6760i −0.517393 0.896152i
\(699\) −18.3507 24.5533i −0.694087 0.928690i
\(700\) 1.79899 1.68510i 0.0679955 0.0636906i
\(701\) 29.7935 1.12528 0.562642 0.826701i \(-0.309785\pi\)
0.562642 + 0.826701i \(0.309785\pi\)
\(702\) −14.7736 + 11.5213i −0.557594 + 0.434843i
\(703\) 20.7621i 0.783057i
\(704\) −5.33370 + 1.42916i −0.201021 + 0.0538635i
\(705\) −25.5026 + 2.60738i −0.960482 + 0.0981998i
\(706\) −4.83313 + 2.79041i −0.181897 + 0.105018i
\(707\) −3.80667 + 3.80667i −0.143165 + 0.143165i
\(708\) −14.2898 + 18.1420i −0.537043 + 0.681819i
\(709\) −9.94264 + 37.1065i −0.373404 + 1.39356i 0.482259 + 0.876029i \(0.339816\pi\)
−0.855663 + 0.517534i \(0.826850\pi\)
\(710\) −30.7888 + 7.71294i −1.15548 + 0.289461i
\(711\) −4.90337 + 16.6042i −0.183891 + 0.622706i
\(712\) −4.50181 + 7.79736i −0.168712 + 0.292218i
\(713\) 21.4845 5.75676i 0.804601 0.215592i
\(714\) −2.33405 1.00164i −0.0873496 0.0374853i
\(715\) −23.3876 37.8804i −0.874645 1.41665i
\(716\) 16.2289i 0.606502i
\(717\) −5.33078 0.770662i −0.199081 0.0287809i
\(718\) −9.01600 5.20539i −0.336474 0.194263i
\(719\) −6.77775 11.7394i −0.252768 0.437806i 0.711519 0.702667i \(-0.248007\pi\)
−0.964287 + 0.264860i \(0.914674\pi\)
\(720\) −5.66464 3.59330i −0.211109 0.133914i
\(721\) 6.12488 + 1.64116i 0.228102 + 0.0611198i
\(722\) 0.240659 0.898150i 0.00895639 0.0334257i
\(723\) −6.83719 17.1169i −0.254278 0.636583i
\(724\) 9.96343 + 17.2572i 0.370288 + 0.641358i
\(725\) 27.9109 + 0.912431i 1.03658 + 0.0338869i
\(726\) −33.4117 4.83028i −1.24003 0.179269i
\(727\) 21.8746 0.811282 0.405641 0.914032i \(-0.367048\pi\)
0.405641 + 0.914032i \(0.367048\pi\)
\(728\) 0.958382 + 1.49699i 0.0355200 + 0.0554822i
\(729\) −20.4871 + 17.5863i −0.758783 + 0.651344i
\(730\) −5.61116 1.60221i −0.207678 0.0593006i
\(731\) 0.781696 + 0.451312i 0.0289121 + 0.0166924i
\(732\) 2.19661 0.260913i 0.0811891 0.00964360i
\(733\) 0.555935 + 0.555935i 0.0205339 + 0.0205339i 0.717299 0.696765i \(-0.245378\pi\)
−0.696765 + 0.717299i \(0.745378\pi\)
\(734\) 3.05871 11.4153i 0.112899 0.421345i
\(735\) 24.4579 9.30908i 0.902144 0.343371i
\(736\) −4.13506 4.13506i −0.152420 0.152420i
\(737\) 9.88978 + 17.1296i 0.364295 + 0.630977i
\(738\) 0.885098 0.213272i 0.0325809 0.00785066i
\(739\) 14.6359 3.92168i 0.538390 0.144261i 0.0206304 0.999787i \(-0.493433\pi\)
0.517760 + 0.855526i \(0.326766\pi\)
\(740\) −8.91990 5.34610i −0.327902 0.196527i
\(741\) 25.3891 11.5177i 0.932691 0.423115i
\(742\) 4.34893i 0.159654i
\(743\) −0.509686 1.90217i −0.0186985 0.0697839i 0.955946 0.293542i \(-0.0948341\pi\)
−0.974645 + 0.223758i \(0.928167\pi\)
\(744\) −5.27692 + 3.94388i −0.193461 + 0.144590i
\(745\) −0.674085 + 41.2510i −0.0246965 + 1.51132i
\(746\) −3.96032 3.96032i −0.144998 0.144998i
\(747\) 14.3854 + 26.4421i 0.526334 + 0.967467i
\(748\) −15.8653 4.25109i −0.580092 0.155435i
\(749\) 0.743756 0.743756i 0.0271762 0.0271762i
\(750\) 19.3186 1.33911i 0.705414 0.0488976i
\(751\) −28.0489 16.1940i −1.02352 0.590928i −0.108397 0.994108i \(-0.534572\pi\)
−0.915121 + 0.403179i \(0.867905\pi\)
\(752\) 6.39352 1.71314i 0.233148 0.0624718i
\(753\) 22.4426 + 9.63106i 0.817855 + 0.350975i
\(754\) −4.31478 + 19.6699i −0.157135 + 0.716336i
\(755\) −27.1812 16.2909i −0.989224 0.592887i
\(756\) 1.48105 + 2.09009i 0.0538652 + 0.0760160i
\(757\) 9.36695 + 5.40801i 0.340448 + 0.196558i 0.660470 0.750852i \(-0.270357\pi\)
−0.320022 + 0.947410i \(0.603690\pi\)
\(758\) −1.27414 + 0.735624i −0.0462788 + 0.0267191i
\(759\) −20.7468 51.9394i −0.753060 1.88528i
\(760\) 6.94238 + 7.17304i 0.251827 + 0.260194i
\(761\) −45.7599 12.2613i −1.65879 0.444473i −0.696739 0.717325i \(-0.745366\pi\)
−0.962056 + 0.272852i \(0.912033\pi\)
\(762\) −9.49323 + 3.79199i −0.343904 + 0.137369i
\(763\) −2.61116 + 1.50755i −0.0945302 + 0.0545770i
\(764\) −6.85084 + 11.8660i −0.247855 + 0.429297i
\(765\) −9.24805 17.6813i −0.334364 0.639268i
\(766\) 5.44472i 0.196726i
\(767\) 46.9574 + 10.3006i 1.69553 + 0.371932i
\(768\) 1.59168 + 0.683054i 0.0574347 + 0.0246476i
\(769\) 9.39330 + 35.0563i 0.338731 + 1.26416i 0.899767 + 0.436370i \(0.143736\pi\)
−0.561036 + 0.827791i \(0.689597\pi\)
\(770\) −5.32055 + 2.95698i −0.191739 + 0.106562i
\(771\) 33.9279 4.02994i 1.22188 0.145135i
\(772\) 17.3527 + 17.3527i 0.624539 + 0.624539i
\(773\) −23.7484 6.36335i