Properties

Label 570.2.bi.a.347.14
Level $570$
Weight $2$
Character 570.347
Analytic conductor $4.551$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bi (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(40\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 347.14
Character \(\chi\) \(=\) 570.347
Dual form 570.2.bi.a.23.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.422618 + 0.906308i) q^{2} +(1.13741 + 1.30625i) q^{3} +(-0.642788 - 0.766044i) q^{4} +(2.03932 + 0.917164i) q^{5} +(-1.66456 + 0.478800i) q^{6} +(-1.13371 + 4.23108i) q^{7} +(0.965926 - 0.258819i) q^{8} +(-0.412587 + 2.97149i) q^{9} +O(q^{10})\) \(q+(-0.422618 + 0.906308i) q^{2} +(1.13741 + 1.30625i) q^{3} +(-0.642788 - 0.766044i) q^{4} +(2.03932 + 0.917164i) q^{5} +(-1.66456 + 0.478800i) q^{6} +(-1.13371 + 4.23108i) q^{7} +(0.965926 - 0.258819i) q^{8} +(-0.412587 + 2.97149i) q^{9} +(-1.69309 + 1.46064i) q^{10} +(1.81764 + 1.04941i) q^{11} +(0.269532 - 1.71095i) q^{12} +(-3.84366 - 2.69136i) q^{13} +(-3.35553 - 2.81563i) q^{14} +(1.12150 + 3.70705i) q^{15} +(-0.173648 + 0.984808i) q^{16} +(1.56811 - 3.36282i) q^{17} +(-2.51872 - 1.62974i) q^{18} +(-1.31641 - 4.15537i) q^{19} +(-0.608258 - 2.15175i) q^{20} +(-6.81636 + 3.33157i) q^{21} +(-1.71926 + 1.20384i) q^{22} +(6.58540 + 0.576148i) q^{23} +(1.43674 + 0.967358i) q^{24} +(3.31762 + 3.74078i) q^{25} +(4.06360 - 2.34612i) q^{26} +(-4.35080 + 2.84087i) q^{27} +(3.96993 - 1.85121i) q^{28} +(-7.59687 - 2.76504i) q^{29} +(-3.83370 - 0.550249i) q^{30} +(1.67251 + 2.89688i) q^{31} +(-0.819152 - 0.573576i) q^{32} +(0.696606 + 3.56791i) q^{33} +(2.38504 + 2.84237i) q^{34} +(-6.19260 + 7.58871i) q^{35} +(2.54150 - 1.59398i) q^{36} +(7.16856 + 7.16856i) q^{37} +(4.32238 + 0.563059i) q^{38} +(-0.856232 - 8.08197i) q^{39} +(2.20721 + 0.358099i) q^{40} +(-7.18278 - 1.26652i) q^{41} +(-0.138707 - 7.58570i) q^{42} +(-0.953329 + 0.0834055i) q^{43} +(-0.364458 - 2.06694i) q^{44} +(-3.56674 + 5.68140i) q^{45} +(-3.30528 + 5.72491i) q^{46} +(11.1066 - 5.17910i) q^{47} +(-1.48392 + 0.893304i) q^{48} +(-10.5546 - 6.09368i) q^{49} +(-4.79238 + 1.42586i) q^{50} +(6.17627 - 1.77657i) q^{51} +(0.408956 + 4.67438i) q^{52} +(1.37273 + 0.120098i) q^{53} +(-0.735975 - 5.14377i) q^{54} +(2.74426 + 3.80716i) q^{55} +4.38034i q^{56} +(3.93065 - 6.44593i) q^{57} +(5.71655 - 5.71655i) q^{58} +(-4.99759 + 1.81897i) q^{59} +(2.11888 - 3.24196i) q^{60} +(-1.57675 + 1.32305i) q^{61} +(-3.33229 + 0.291538i) q^{62} +(-12.1049 - 5.11452i) q^{63} +(0.866025 - 0.500000i) q^{64} +(-5.37002 - 9.01380i) q^{65} +(-3.52803 - 0.876526i) q^{66} +(-4.17411 - 8.95141i) q^{67} +(-3.58403 + 0.960337i) q^{68} +(6.73772 + 9.25751i) q^{69} +(-4.26060 - 8.81953i) q^{70} +(6.19315 - 7.38071i) q^{71} +(0.370550 + 2.97703i) q^{72} +(5.21699 + 7.45063i) q^{73} +(-9.52648 + 3.46736i) q^{74} +(-1.11289 + 8.58845i) q^{75} +(-2.33702 + 3.67945i) q^{76} +(-6.50085 + 6.50085i) q^{77} +(7.68661 + 2.63958i) q^{78} +(5.64724 + 0.995761i) q^{79} +(-1.25735 + 1.84907i) q^{80} +(-8.65954 - 2.45200i) q^{81} +(4.18343 - 5.97455i) q^{82} +(-1.61763 + 6.03708i) q^{83} +(6.93360 + 3.08014i) q^{84} +(6.28212 - 5.41963i) q^{85} +(0.327303 - 0.899258i) q^{86} +(-5.02894 - 13.0684i) q^{87} +(2.02731 + 0.543217i) q^{88} +(1.06639 + 6.04779i) q^{89} +(-3.64173 - 5.63363i) q^{90} +(15.7450 - 13.2116i) q^{91} +(-3.79166 - 5.41505i) q^{92} +(-1.88171 + 5.47966i) q^{93} +12.2548i q^{94} +(1.12657 - 9.68147i) q^{95} +(-0.182478 - 1.72241i) q^{96} +(6.95363 + 3.24253i) q^{97} +(9.98330 - 6.99038i) q^{98} +(-3.86826 + 4.96813i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + O(q^{10}) \) \( 480q - 36q^{15} - 48q^{18} + 24q^{22} - 24q^{25} + 72q^{33} + 24q^{43} - 36q^{45} + 24q^{51} - 120q^{55} + 108q^{57} - 48q^{60} - 48q^{61} - 36q^{63} - 24q^{66} + 48q^{67} - 48q^{70} - 48q^{78} - 144q^{81} - 48q^{85} - 96q^{87} - 168q^{90} - 144q^{91} - 228q^{93} + 48q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{8}{9}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.422618 + 0.906308i −0.298836 + 0.640856i
\(3\) 1.13741 + 1.30625i 0.656685 + 0.754165i
\(4\) −0.642788 0.766044i −0.321394 0.383022i
\(5\) 2.03932 + 0.917164i 0.912010 + 0.410168i
\(6\) −1.66456 + 0.478800i −0.679553 + 0.195469i
\(7\) −1.13371 + 4.23108i −0.428504 + 1.59920i 0.327646 + 0.944800i \(0.393745\pi\)
−0.756150 + 0.654398i \(0.772922\pi\)
\(8\) 0.965926 0.258819i 0.341506 0.0915064i
\(9\) −0.412587 + 2.97149i −0.137529 + 0.990498i
\(10\) −1.69309 + 1.46064i −0.535401 + 0.461894i
\(11\) 1.81764 + 1.04941i 0.548039 + 0.316410i 0.748331 0.663326i \(-0.230856\pi\)
−0.200292 + 0.979736i \(0.564189\pi\)
\(12\) 0.269532 1.71095i 0.0778073 0.493909i
\(13\) −3.84366 2.69136i −1.06604 0.746449i −0.0974812 0.995237i \(-0.531079\pi\)
−0.968558 + 0.248789i \(0.919967\pi\)
\(14\) −3.35553 2.81563i −0.896804 0.752508i
\(15\) 1.12150 + 3.70705i 0.289569 + 0.957157i
\(16\) −0.173648 + 0.984808i −0.0434120 + 0.246202i
\(17\) 1.56811 3.36282i 0.380322 0.815602i −0.619217 0.785220i \(-0.712550\pi\)
0.999538 0.0303823i \(-0.00967248\pi\)
\(18\) −2.51872 1.62974i −0.593668 0.384133i
\(19\) −1.31641 4.15537i −0.302006 0.953306i
\(20\) −0.608258 2.15175i −0.136011 0.481146i
\(21\) −6.81636 + 3.33157i −1.48745 + 0.727007i
\(22\) −1.71926 + 1.20384i −0.366548 + 0.256659i
\(23\) 6.58540 + 0.576148i 1.37315 + 0.120135i 0.749726 0.661748i \(-0.230185\pi\)
0.623425 + 0.781884i \(0.285741\pi\)
\(24\) 1.43674 + 0.967358i 0.293273 + 0.197461i
\(25\) 3.31762 + 3.74078i 0.663524 + 0.748155i
\(26\) 4.06360 2.34612i 0.796937 0.460112i
\(27\) −4.35080 + 2.84087i −0.837312 + 0.546726i
\(28\) 3.96993 1.85121i 0.750247 0.349846i
\(29\) −7.59687 2.76504i −1.41070 0.513454i −0.479367 0.877614i \(-0.659134\pi\)
−0.931336 + 0.364160i \(0.881356\pi\)
\(30\) −3.83370 0.550249i −0.699934 0.100461i
\(31\) 1.67251 + 2.89688i 0.300392 + 0.520294i 0.976225 0.216761i \(-0.0695492\pi\)
−0.675833 + 0.737055i \(0.736216\pi\)
\(32\) −0.819152 0.573576i −0.144807 0.101395i
\(33\) 0.696606 + 3.56791i 0.121263 + 0.621094i
\(34\) 2.38504 + 2.84237i 0.409030 + 0.487463i
\(35\) −6.19260 + 7.58871i −1.04674 + 1.28273i
\(36\) 2.54150 1.59398i 0.423584 0.265663i
\(37\) 7.16856 + 7.16856i 1.17850 + 1.17850i 0.980126 + 0.198378i \(0.0635674\pi\)
0.198378 + 0.980126i \(0.436433\pi\)
\(38\) 4.32238 + 0.563059i 0.701183 + 0.0913402i
\(39\) −0.856232 8.08197i −0.137107 1.29415i
\(40\) 2.20721 + 0.358099i 0.348990 + 0.0566204i
\(41\) −7.18278 1.26652i −1.12176 0.197797i −0.418147 0.908379i \(-0.637320\pi\)
−0.703614 + 0.710583i \(0.748431\pi\)
\(42\) −0.138707 7.58570i −0.0214030 1.17050i
\(43\) −0.953329 + 0.0834055i −0.145381 + 0.0127192i −0.159614 0.987179i \(-0.551025\pi\)
0.0142327 + 0.999899i \(0.495469\pi\)
\(44\) −0.364458 2.06694i −0.0549441 0.311603i
\(45\) −3.56674 + 5.68140i −0.531699 + 0.846934i
\(46\) −3.30528 + 5.72491i −0.487336 + 0.844092i
\(47\) 11.1066 5.17910i 1.62007 0.755450i 0.620481 0.784221i \(-0.286937\pi\)
0.999586 + 0.0287713i \(0.00915946\pi\)
\(48\) −1.48392 + 0.893304i −0.214185 + 0.128937i
\(49\) −10.5546 6.09368i −1.50780 0.870526i
\(50\) −4.79238 + 1.42586i −0.677745 + 0.201648i
\(51\) 6.17627 1.77657i 0.864850 0.248769i
\(52\) 0.408956 + 4.67438i 0.0567120 + 0.648221i
\(53\) 1.37273 + 0.120098i 0.188558 + 0.0164967i 0.181044 0.983475i \(-0.442052\pi\)
0.00751462 + 0.999972i \(0.497608\pi\)
\(54\) −0.735975 5.14377i −0.100154 0.699978i
\(55\) 2.74426 + 3.80716i 0.370035 + 0.513358i
\(56\) 4.38034i 0.585347i
\(57\) 3.93065 6.44593i 0.520627 0.853784i
\(58\) 5.71655 5.71655i 0.750620 0.750620i
\(59\) −4.99759 + 1.81897i −0.650631 + 0.236810i −0.646186 0.763180i \(-0.723637\pi\)
−0.00444460 + 0.999990i \(0.501415\pi\)
\(60\) 2.11888 3.24196i 0.273547 0.418536i
\(61\) −1.57675 + 1.32305i −0.201883 + 0.169400i −0.738124 0.674665i \(-0.764288\pi\)
0.536241 + 0.844065i \(0.319844\pi\)
\(62\) −3.33229 + 0.291538i −0.423202 + 0.0370254i
\(63\) −12.1049 5.11452i −1.52507 0.644369i
\(64\) 0.866025 0.500000i 0.108253 0.0625000i
\(65\) −5.37002 9.01380i −0.666068 1.11802i
\(66\) −3.52803 0.876526i −0.434270 0.107893i
\(67\) −4.17411 8.95141i −0.509949 1.09359i −0.977754 0.209757i \(-0.932733\pi\)
0.467805 0.883832i \(-0.345045\pi\)
\(68\) −3.58403 + 0.960337i −0.434627 + 0.116458i
\(69\) 6.73772 + 9.25751i 0.811126 + 1.11447i
\(70\) −4.26060 8.81953i −0.509239 1.05414i
\(71\) 6.19315 7.38071i 0.734991 0.875929i −0.261004 0.965338i \(-0.584053\pi\)
0.995995 + 0.0894093i \(0.0284979\pi\)
\(72\) 0.370550 + 2.97703i 0.0436698 + 0.350846i
\(73\) 5.21699 + 7.45063i 0.610602 + 0.872030i 0.998771 0.0495579i \(-0.0157812\pi\)
−0.388169 + 0.921588i \(0.626892\pi\)
\(74\) −9.52648 + 3.46736i −1.10743 + 0.403072i
\(75\) −1.11289 + 8.58845i −0.128506 + 0.991709i
\(76\) −2.33702 + 3.67945i −0.268075 + 0.422062i
\(77\) −6.50085 + 6.50085i −0.740840 + 0.740840i
\(78\) 7.68661 + 2.63958i 0.870337 + 0.298873i
\(79\) 5.64724 + 0.995761i 0.635364 + 0.112032i 0.482047 0.876145i \(-0.339893\pi\)
0.153317 + 0.988177i \(0.451004\pi\)
\(80\) −1.25735 + 1.84907i −0.140576 + 0.206732i
\(81\) −8.65954 2.45200i −0.962172 0.272444i
\(82\) 4.18343 5.97455i 0.461982 0.659779i
\(83\) −1.61763 + 6.03708i −0.177558 + 0.662655i 0.818544 + 0.574444i \(0.194782\pi\)
−0.996102 + 0.0882112i \(0.971885\pi\)
\(84\) 6.93360 + 3.08014i 0.756518 + 0.336071i
\(85\) 6.28212 5.41963i 0.681391 0.587842i
\(86\) 0.327303 0.899258i 0.0352940 0.0969695i
\(87\) −5.02894 13.0684i −0.539159 1.40108i
\(88\) 2.02731 + 0.543217i 0.216112 + 0.0579071i
\(89\) 1.06639 + 6.04779i 0.113037 + 0.641065i 0.987703 + 0.156339i \(0.0499693\pi\)
−0.874666 + 0.484725i \(0.838920\pi\)
\(90\) −3.64173 5.63363i −0.383872 0.593837i
\(91\) 15.7450 13.2116i 1.65052 1.38495i
\(92\) −3.79166 5.41505i −0.395308 0.564558i
\(93\) −1.88171 + 5.47966i −0.195125 + 0.568215i
\(94\) 12.2548i 1.26399i
\(95\) 1.12657 9.68147i 0.115584 0.993298i
\(96\) −0.182478 1.72241i −0.0186241 0.175793i
\(97\) 6.95363 + 3.24253i 0.706034 + 0.329229i 0.742258 0.670115i \(-0.233755\pi\)
−0.0362235 + 0.999344i \(0.511533\pi\)
\(98\) 9.98330 6.99038i 1.00847 0.706135i
\(99\) −3.86826 + 4.96813i −0.388775 + 0.499316i
\(100\) 0.733076 4.94597i 0.0733076 0.494597i
\(101\) 10.0379 1.76996i 0.998811 0.176117i 0.349741 0.936846i \(-0.386269\pi\)
0.649070 + 0.760729i \(0.275158\pi\)
\(102\) −1.00009 + 6.34841i −0.0990235 + 0.628586i
\(103\) 1.22995 + 4.59025i 0.121191 + 0.452291i 0.999675 0.0254802i \(-0.00811149\pi\)
−0.878484 + 0.477771i \(0.841445\pi\)
\(104\) −4.40926 1.60484i −0.432364 0.157368i
\(105\) −16.9563 + 0.542396i −1.65477 + 0.0529324i
\(106\) −0.688985 + 1.19336i −0.0669201 + 0.115909i
\(107\) 1.71119 + 0.458513i 0.165427 + 0.0443261i 0.340582 0.940215i \(-0.389376\pi\)
−0.175155 + 0.984541i \(0.556043\pi\)
\(108\) 4.97287 + 1.50683i 0.478515 + 0.144995i
\(109\) −3.21798 + 3.83504i −0.308227 + 0.367330i −0.897814 0.440374i \(-0.854846\pi\)
0.589588 + 0.807704i \(0.299290\pi\)
\(110\) −4.61023 + 0.878164i −0.439569 + 0.0837297i
\(111\) −1.21034 + 17.5175i −0.114880 + 1.66269i
\(112\) −3.96993 1.85121i −0.375124 0.174923i
\(113\) 1.99985 + 1.99985i 0.188130 + 0.188130i 0.794887 0.606757i \(-0.207530\pi\)
−0.606757 + 0.794887i \(0.707530\pi\)
\(114\) 4.18083 + 6.28655i 0.391571 + 0.588789i
\(115\) 12.9013 + 7.21484i 1.20305 + 0.672787i
\(116\) 2.76504 + 7.59687i 0.256727 + 0.705352i
\(117\) 9.58320 10.3110i 0.885967 0.953251i
\(118\) 0.463522 5.29808i 0.0426707 0.487728i
\(119\) 12.4506 + 10.4473i 1.14134 + 0.957699i
\(120\) 2.04274 + 3.29047i 0.186476 + 0.300378i
\(121\) −3.29746 5.71136i −0.299769 0.519215i
\(122\) −0.532728 1.98817i −0.0482310 0.180000i
\(123\) −6.51539 10.8231i −0.587473 0.975883i
\(124\) 1.14407 3.14329i 0.102740 0.282276i
\(125\) 3.33477 + 10.6714i 0.298271 + 0.954481i
\(126\) 9.75107 8.80925i 0.868694 0.784791i
\(127\) 5.18502 7.40498i 0.460096 0.657086i −0.520331 0.853964i \(-0.674192\pi\)
0.980428 + 0.196879i \(0.0630805\pi\)
\(128\) 0.0871557 + 0.996195i 0.00770355 + 0.0880520i
\(129\) −1.19328 1.15042i −0.105062 0.101289i
\(130\) 10.4387 1.05749i 0.915538 0.0927482i
\(131\) 4.44041 + 12.1999i 0.387960 + 1.06591i 0.967918 + 0.251266i \(0.0808468\pi\)
−0.579958 + 0.814646i \(0.696931\pi\)
\(132\) 2.28541 2.82704i 0.198919 0.246062i
\(133\) 19.0741 0.858846i 1.65394 0.0744714i
\(134\) 9.87678 0.853224
\(135\) −11.4782 + 1.80303i −0.987886 + 0.155180i
\(136\) 0.644314 3.65409i 0.0552495 0.313335i
\(137\) 1.87464 21.4273i 0.160162 1.83066i −0.313085 0.949725i \(-0.601362\pi\)
0.473246 0.880930i \(-0.343082\pi\)
\(138\) −11.2376 + 2.19406i −0.956611 + 0.186770i
\(139\) −3.25489 + 0.573925i −0.276076 + 0.0486797i −0.309972 0.950746i \(-0.600320\pi\)
0.0338958 + 0.999425i \(0.489209\pi\)
\(140\) 9.79382 0.134122i 0.827729 0.0113353i
\(141\) 19.3980 + 8.61727i 1.63361 + 0.725705i
\(142\) 4.07185 + 8.73212i 0.341702 + 0.732783i
\(143\) −4.16203 8.92551i −0.348047 0.746389i
\(144\) −2.85470 0.922313i −0.237892 0.0768595i
\(145\) −12.9564 12.6064i −1.07597 1.04690i
\(146\) −8.95736 + 1.57942i −0.741316 + 0.130714i
\(147\) −4.04501 20.7179i −0.333627 1.70879i
\(148\) 0.883574 10.0993i 0.0726293 0.830157i
\(149\) 3.82029 21.6659i 0.312970 1.77494i −0.270413 0.962745i \(-0.587160\pi\)
0.583383 0.812197i \(-0.301729\pi\)
\(150\) −7.31345 4.63826i −0.597141 0.378712i
\(151\) 2.80992 0.228668 0.114334 0.993442i \(-0.463527\pi\)
0.114334 + 0.993442i \(0.463527\pi\)
\(152\) −2.34704 3.67306i −0.190370 0.297925i
\(153\) 9.34560 + 6.04707i 0.755547 + 0.488877i
\(154\) −3.14439 8.63914i −0.253382 0.696162i
\(155\) 0.753869 + 7.44161i 0.0605522 + 0.597725i
\(156\) −5.64077 + 5.85090i −0.451623 + 0.468447i
\(157\) −0.118730 1.35708i −0.00947565 0.108307i 0.989984 0.141180i \(-0.0450898\pi\)
−0.999460 + 0.0328733i \(0.989534\pi\)
\(158\) −3.28909 + 4.69731i −0.261666 + 0.373698i
\(159\) 1.40448 + 1.92973i 0.111382 + 0.153037i
\(160\) −1.14445 1.92100i −0.0904764 0.151868i
\(161\) −9.90369 + 27.2102i −0.780520 + 2.14446i
\(162\) 5.88195 6.81195i 0.462129 0.535197i
\(163\) 2.39491 + 8.93792i 0.187584 + 0.700072i 0.994063 + 0.108809i \(0.0347037\pi\)
−0.806479 + 0.591263i \(0.798630\pi\)
\(164\) 3.64679 + 6.31643i 0.284766 + 0.493230i
\(165\) −1.85176 + 7.91500i −0.144160 + 0.616182i
\(166\) −4.78781 4.01745i −0.371606 0.311815i
\(167\) −0.0873362 + 0.998258i −0.00675828 + 0.0772475i −0.998825 0.0484665i \(-0.984567\pi\)
0.992067 + 0.125714i \(0.0401222\pi\)
\(168\) −5.72182 + 4.98225i −0.441448 + 0.384389i
\(169\) 3.08404 + 8.47332i 0.237234 + 0.651794i
\(170\) 2.25692 + 7.98397i 0.173098 + 0.612342i
\(171\) 12.8908 2.19726i 0.985782 0.168029i
\(172\) 0.676680 + 0.676680i 0.0515964 + 0.0515964i
\(173\) −0.102979 0.0480197i −0.00782931 0.00365087i 0.418700 0.908125i \(-0.362486\pi\)
−0.426529 + 0.904474i \(0.640264\pi\)
\(174\) 13.9693 + 0.965180i 1.05901 + 0.0731701i
\(175\) −19.5888 + 9.79615i −1.48077 + 0.740519i
\(176\) −1.34910 + 1.60780i −0.101692 + 0.121192i
\(177\) −8.06036 4.45919i −0.605853 0.335173i
\(178\) −5.93184 1.58943i −0.444610 0.119133i
\(179\) 0.409048 0.708492i 0.0305737 0.0529552i −0.850334 0.526244i \(-0.823600\pi\)
0.880907 + 0.473289i \(0.156933\pi\)
\(180\) 6.64487 0.919652i 0.495279 0.0685468i
\(181\) −13.5223 4.92171i −1.00510 0.365827i −0.213552 0.976932i \(-0.568503\pi\)
−0.791550 + 0.611104i \(0.790726\pi\)
\(182\) 5.31966 + 19.8533i 0.394320 + 1.47162i
\(183\) −3.52166 0.554780i −0.260328 0.0410105i
\(184\) 6.51012 1.14791i 0.479933 0.0846251i
\(185\) 8.04421 + 21.1937i 0.591422 + 1.55819i
\(186\) −4.17101 4.02122i −0.305834 0.294850i
\(187\) 6.37924 4.46679i 0.466496 0.326644i
\(188\) −11.1066 5.17910i −0.810034 0.377725i
\(189\) −7.08739 21.6293i −0.515531 1.57330i
\(190\) 8.29828 + 5.11259i 0.602020 + 0.370906i
\(191\) 4.13343i 0.299085i −0.988755 0.149542i \(-0.952220\pi\)
0.988755 0.149542i \(-0.0477801\pi\)
\(192\) 1.63815 + 0.562541i 0.118224 + 0.0405979i
\(193\) −1.17455 1.67744i −0.0845462 0.120744i 0.774651 0.632389i \(-0.217925\pi\)
−0.859197 + 0.511644i \(0.829037\pi\)
\(194\) −5.87746 + 4.93178i −0.421977 + 0.354081i
\(195\) 5.66637 17.2670i 0.405777 1.23652i
\(196\) 2.11631 + 12.0022i 0.151165 + 0.857301i
\(197\) 1.75170 + 0.469367i 0.124804 + 0.0334410i 0.320680 0.947188i \(-0.396089\pi\)
−0.195877 + 0.980629i \(0.562755\pi\)
\(198\) −2.86786 5.60546i −0.203810 0.398363i
\(199\) 6.70157 18.4124i 0.475061 1.30522i −0.438577 0.898693i \(-0.644517\pi\)
0.913639 0.406527i \(-0.133260\pi\)
\(200\) 4.17276 + 2.75465i 0.295059 + 0.194783i
\(201\) 6.94511 15.6339i 0.489870 1.10273i
\(202\) −2.63809 + 9.84547i −0.185615 + 0.692725i
\(203\) 20.3118 29.0082i 1.42561 2.03598i
\(204\) −5.33096 3.58934i −0.373242 0.251304i
\(205\) −13.4863 9.17061i −0.941927 0.640503i
\(206\) −4.67998 0.825207i −0.326070 0.0574949i
\(207\) −4.42907 + 19.3308i −0.307842 + 1.34358i
\(208\) 3.31791 3.31791i 0.230056 0.230056i
\(209\) 1.96794 8.93442i 0.136125 0.618007i
\(210\) 6.67447 15.5969i 0.460582 1.07629i
\(211\) 6.41447 2.33468i 0.441590 0.160726i −0.111650 0.993748i \(-0.535613\pi\)
0.553240 + 0.833022i \(0.313391\pi\)
\(212\) −0.790371 1.12877i −0.0542829 0.0775240i
\(213\) 16.6852 0.305095i 1.14325 0.0209048i
\(214\) −1.13874 + 1.35709i −0.0778424 + 0.0927690i
\(215\) −2.02064 0.704269i −0.137806 0.0480308i
\(216\) −3.46728 + 3.87014i −0.235918 + 0.263330i
\(217\) −14.1531 + 3.79230i −0.960773 + 0.257438i
\(218\) −2.11575 4.53724i −0.143297 0.307300i
\(219\) −3.79853 + 15.2891i −0.256681 + 1.03314i
\(220\) 1.15248 4.54942i 0.0777003 0.306722i
\(221\) −15.0778 + 8.70518i −1.01424 + 0.585573i
\(222\) −15.3648 8.50017i −1.03122 0.570494i
\(223\) −16.1862 + 1.41611i −1.08391 + 0.0948295i −0.615083 0.788462i \(-0.710877\pi\)
−0.468823 + 0.883292i \(0.655322\pi\)
\(224\) 3.35553 2.81563i 0.224201 0.188127i
\(225\) −12.4845 + 8.31489i −0.832300 + 0.554326i
\(226\) −2.65766 + 0.967308i −0.176785 + 0.0643444i
\(227\) 18.8331 18.8331i 1.25000 1.25000i 0.294276 0.955720i \(-0.404921\pi\)
0.955720 0.294276i \(-0.0950786\pi\)
\(228\) −7.46444 + 1.13231i −0.494345 + 0.0749890i
\(229\) 9.30797i 0.615088i 0.951534 + 0.307544i \(0.0995071\pi\)
−0.951534 + 0.307544i \(0.900493\pi\)
\(230\) −11.9912 + 8.64341i −0.790675 + 0.569930i
\(231\) −15.8859 1.09760i −1.04521 0.0722168i
\(232\) −8.05366 0.704604i −0.528749 0.0462595i
\(233\) −0.208005 2.37750i −0.0136268 0.155755i 0.986333 0.164767i \(-0.0526871\pi\)
−0.999959 + 0.00901131i \(0.997132\pi\)
\(234\) 5.29489 + 13.0429i 0.346138 + 0.852643i
\(235\) 27.4000 0.375230i 1.78738 0.0244773i
\(236\) 4.60580 + 2.65916i 0.299812 + 0.173097i
\(237\) 5.12253 + 8.50931i 0.332744 + 0.552739i
\(238\) −14.7303 + 6.86884i −0.954821 + 0.445241i
\(239\) 8.99389 15.5779i 0.581766 1.00765i −0.413504 0.910502i \(-0.635695\pi\)
0.995270 0.0971465i \(-0.0309715\pi\)
\(240\) −3.84548 + 0.460734i −0.248225 + 0.0297403i
\(241\) 0.115647 + 0.655866i 0.00744947 + 0.0422480i 0.988306 0.152484i \(-0.0487273\pi\)
−0.980856 + 0.194732i \(0.937616\pi\)
\(242\) 6.56982 0.574785i 0.422324 0.0369486i
\(243\) −6.64654 14.1005i −0.426376 0.904546i
\(244\) 2.02703 + 0.357421i 0.129768 + 0.0228815i
\(245\) −15.9352 22.1072i −1.01806 1.41238i
\(246\) 12.5625 1.33092i 0.800959 0.0848564i
\(247\) −6.12374 + 19.5147i −0.389644 + 1.24169i
\(248\) 2.36529 + 2.36529i 0.150196 + 0.150196i
\(249\) −9.72585 + 4.75361i −0.616351 + 0.301248i
\(250\) −11.0809 1.48761i −0.700820 0.0940849i
\(251\) −6.40687 7.63541i −0.404398 0.481943i 0.524958 0.851128i \(-0.324081\pi\)
−0.929356 + 0.369186i \(0.879637\pi\)
\(252\) 3.86292 + 12.5604i 0.243341 + 0.791232i
\(253\) 11.3653 + 7.95804i 0.714528 + 0.500318i
\(254\) 4.51991 + 7.82871i 0.283604 + 0.491217i
\(255\) 14.2248 + 2.04167i 0.890789 + 0.127855i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) −22.7677 + 10.6168i −1.42021 + 0.662256i −0.972709 0.232027i \(-0.925464\pi\)
−0.447503 + 0.894283i \(0.647687\pi\)
\(258\) 1.54694 0.595287i 0.0963080 0.0370609i
\(259\) −38.4579 + 22.2037i −2.38965 + 1.37967i
\(260\) −3.45319 + 9.90763i −0.214158 + 0.614445i
\(261\) 11.3507 21.4332i 0.702588 1.32668i
\(262\) −12.9335 1.13153i −0.799033 0.0699063i
\(263\) 6.86479 4.80677i 0.423301 0.296398i −0.342450 0.939536i \(-0.611257\pi\)
0.765751 + 0.643138i \(0.222368\pi\)
\(264\) 1.59631 + 3.26604i 0.0982463 + 0.201011i
\(265\) 2.68927 + 1.50393i 0.165201 + 0.0923858i
\(266\) −7.28270 + 17.6500i −0.446531 + 1.08219i
\(267\) −6.68701 + 8.27180i −0.409239 + 0.506226i
\(268\) −4.17411 + 8.95141i −0.254974 + 0.546794i
\(269\) −0.816330 + 4.62964i −0.0497725 + 0.282274i −0.999528 0.0307187i \(-0.990220\pi\)
0.949756 + 0.312993i \(0.101332\pi\)
\(270\) 3.21679 11.1648i 0.195768 0.679467i
\(271\) −7.98675 6.70168i −0.485160 0.407098i 0.367128 0.930171i \(-0.380341\pi\)
−0.852288 + 0.523073i \(0.824786\pi\)
\(272\) 3.03943 + 2.12823i 0.184292 + 0.129043i
\(273\) 35.1662 + 5.53986i 2.12835 + 0.335288i
\(274\) 18.6274 + 10.7546i 1.12533 + 0.649707i
\(275\) 2.10461 + 10.2809i 0.126913 + 0.619964i
\(276\) 2.76074 11.1120i 0.166177 0.668864i
\(277\) 7.15227 1.91645i 0.429738 0.115148i −0.0374650 0.999298i \(-0.511928\pi\)
0.467203 + 0.884150i \(0.345262\pi\)
\(278\) 0.855423 3.19248i 0.0513049 0.191472i
\(279\) −9.29810 + 3.77464i −0.556663 + 0.225982i
\(280\) −4.01749 + 8.93289i −0.240091 + 0.533843i
\(281\) 3.56978 + 4.25430i 0.212955 + 0.253790i 0.861939 0.507012i \(-0.169250\pi\)
−0.648984 + 0.760802i \(0.724806\pi\)
\(282\) −16.0079 + 13.9388i −0.953254 + 0.830041i
\(283\) −13.9417 + 29.8980i −0.828745 + 1.77725i −0.236218 + 0.971700i \(0.575908\pi\)
−0.592527 + 0.805550i \(0.701870\pi\)
\(284\) −9.63483 −0.571722
\(285\) 13.9278 9.54023i 0.825012 0.565115i
\(286\) 9.84821 0.582337
\(287\) 13.5020 28.9550i 0.796995 1.70916i
\(288\) 2.04235 2.19745i 0.120347 0.129486i
\(289\) 2.07782 + 2.47625i 0.122225 + 0.145662i
\(290\) 16.9009 6.41484i 0.992453 0.376692i
\(291\) 3.67358 + 12.7713i 0.215349 + 0.748666i
\(292\) 2.35410 8.78562i 0.137763 0.514139i
\(293\) −23.9799 + 6.42539i −1.40092 + 0.375375i −0.878675 0.477420i \(-0.841572\pi\)
−0.522245 + 0.852796i \(0.674905\pi\)
\(294\) 20.4863 + 5.08976i 1.19479 + 0.296841i
\(295\) −11.8600 0.874148i −0.690514 0.0508949i
\(296\) 8.77965 + 5.06894i 0.510307 + 0.294626i
\(297\) −10.8894 + 0.597884i −0.631869 + 0.0346928i
\(298\) 18.0215 + 12.6188i 1.04396 + 0.730986i
\(299\) −23.7614 19.9382i −1.37416 1.15305i
\(300\) 7.29449 4.66802i 0.421148 0.269508i
\(301\) 0.727908 4.12817i 0.0419559 0.237944i
\(302\) −1.18752 + 2.54665i −0.0683342 + 0.146543i
\(303\) 13.7293 + 11.0989i 0.788726 + 0.637615i
\(304\) 4.32083 0.574841i 0.247817 0.0329694i
\(305\) −4.42895 + 1.25198i −0.253601 + 0.0716882i
\(306\) −9.43013 + 5.91439i −0.539085 + 0.338103i
\(307\) 0.209626 0.146782i 0.0119640 0.00837727i −0.567579 0.823319i \(-0.692120\pi\)
0.579543 + 0.814942i \(0.303231\pi\)
\(308\) 9.15860 + 0.801274i 0.521860 + 0.0456568i
\(309\) −4.59706 + 6.82764i −0.261518 + 0.388411i
\(310\) −7.06299 2.46172i −0.401151 0.139817i
\(311\) −9.34655 + 5.39623i −0.529994 + 0.305992i −0.741014 0.671490i \(-0.765655\pi\)
0.211020 + 0.977482i \(0.432321\pi\)
\(312\) −2.91882 7.58497i −0.165246 0.429415i
\(313\) −7.37474 + 3.43890i −0.416845 + 0.194378i −0.619714 0.784828i \(-0.712751\pi\)
0.202869 + 0.979206i \(0.434973\pi\)
\(314\) 1.28011 + 0.465923i 0.0722410 + 0.0262936i
\(315\) −19.9948 21.5323i −1.12658 1.21321i
\(316\) −2.86718 4.96610i −0.161292 0.279365i
\(317\) −8.31572 5.82273i −0.467057 0.327037i 0.316246 0.948677i \(-0.397578\pi\)
−0.783303 + 0.621640i \(0.786467\pi\)
\(318\) −2.34248 + 0.457351i −0.131360 + 0.0256470i
\(319\) −10.9067 12.9981i −0.610658 0.727754i
\(320\) 2.22468 0.225370i 0.124363 0.0125986i
\(321\) 1.34740 + 2.75677i 0.0752045 + 0.153868i
\(322\) −20.4753 20.4753i −1.14104 1.14104i
\(323\) −16.0380 2.08921i −0.892378 0.116247i
\(324\) 3.68791 + 8.20971i 0.204884 + 0.456095i
\(325\) −2.68403 23.3072i −0.148883 1.29285i
\(326\) −9.11264 1.60680i −0.504702 0.0889926i
\(327\) −8.66970 + 0.158528i −0.479435 + 0.00876663i
\(328\) −7.26583 + 0.635677i −0.401188 + 0.0350994i
\(329\) 9.32147 + 52.8647i 0.513909 + 2.91452i
\(330\) −6.39084 5.02329i −0.351804 0.276523i
\(331\) −3.45313 + 5.98099i −0.189801 + 0.328745i −0.945184 0.326539i \(-0.894118\pi\)
0.755383 + 0.655284i \(0.227451\pi\)
\(332\) 5.66446 2.64138i 0.310878 0.144965i
\(333\) −24.2590 + 18.3437i −1.32938 + 1.00523i
\(334\) −0.867819 0.501035i −0.0474849 0.0274154i
\(335\) −0.302417 22.0831i −0.0165228 1.20653i
\(336\) −2.09730 7.29132i −0.114417 0.397774i
\(337\) 1.72870 + 19.7591i 0.0941683 + 1.07635i 0.885399 + 0.464831i \(0.153885\pi\)
−0.791231 + 0.611517i \(0.790559\pi\)
\(338\) −8.98281 0.785894i −0.488600 0.0427470i
\(339\) −0.337654 + 4.88697i −0.0183389 + 0.265424i
\(340\) −8.18975 1.32871i −0.444151 0.0720594i
\(341\) 7.02063i 0.380189i
\(342\) −3.45648 + 12.6116i −0.186905 + 0.681958i
\(343\) 16.0672 16.0672i 0.867546 0.867546i
\(344\) −0.899258 + 0.327303i −0.0484848 + 0.0176470i
\(345\) 5.24968 + 25.0586i 0.282633 + 1.34911i
\(346\) 0.0870412 0.0730362i 0.00467936 0.00392645i
\(347\) −25.4195 + 2.22392i −1.36459 + 0.119386i −0.745800 0.666170i \(-0.767933\pi\)
−0.618791 + 0.785556i \(0.712377\pi\)
\(348\) −6.77844 + 12.2526i −0.363363 + 0.656809i
\(349\) −10.7611 + 6.21292i −0.576028 + 0.332570i −0.759553 0.650445i \(-0.774582\pi\)
0.183525 + 0.983015i \(0.441249\pi\)
\(350\) −0.599754 21.8935i −0.0320582 1.17026i
\(351\) 24.3688 + 0.790229i 1.30071 + 0.0421793i
\(352\) −0.887004 1.90219i −0.0472775 0.101387i
\(353\) −7.91286 + 2.12024i −0.421159 + 0.112849i −0.463173 0.886268i \(-0.653289\pi\)
0.0420141 + 0.999117i \(0.486623\pi\)
\(354\) 7.44785 5.42063i 0.395849 0.288103i
\(355\) 19.3991 9.37146i 1.02960 0.497385i
\(356\) 3.94742 4.70435i 0.209213 0.249330i
\(357\) 0.514666 + 28.1464i 0.0272390 + 1.48967i
\(358\) 0.469240 + 0.670145i 0.0248001 + 0.0354183i
\(359\) 14.5326 5.28942i 0.767000 0.279165i 0.0712587 0.997458i \(-0.477298\pi\)
0.695741 + 0.718293i \(0.255076\pi\)
\(360\) −1.97475 + 6.41096i −0.104079 + 0.337887i
\(361\) −15.5341 + 10.9403i −0.817585 + 0.575808i
\(362\) 10.1753 10.1753i 0.534804 0.534804i
\(363\) 3.70991 10.8035i 0.194720 0.567036i
\(364\) −20.2413 3.56910i −1.06093 0.187071i
\(365\) 3.80563 + 19.9790i 0.199196 + 1.04575i
\(366\) 1.99112 2.95725i 0.104077 0.154578i
\(367\) 2.64084 3.77151i 0.137851 0.196871i −0.744291 0.667856i \(-0.767212\pi\)
0.882141 + 0.470985i \(0.156101\pi\)
\(368\) −1.71094 + 6.38530i −0.0891888 + 0.332857i
\(369\) 6.72697 20.8210i 0.350192 1.08390i
\(370\) −22.6076 1.66632i −1.17532 0.0866276i
\(371\) −2.06442 + 5.67196i −0.107180 + 0.294473i
\(372\) 5.40721 2.08078i 0.280351 0.107884i
\(373\) −12.6986 3.40258i −0.657509 0.176179i −0.0853875 0.996348i \(-0.527213\pi\)
−0.572122 + 0.820169i \(0.693879\pi\)
\(374\) 1.35231 + 7.66930i 0.0699260 + 0.396570i
\(375\) −10.1466 + 16.4939i −0.523966 + 0.851739i
\(376\) 9.38772 7.87724i 0.484135 0.406237i
\(377\) 21.7581 + 31.0738i 1.12060 + 1.60038i
\(378\) 22.5981 + 2.71760i 1.16232 + 0.139778i
\(379\) 24.9283i 1.28048i −0.768175 0.640240i \(-0.778835\pi\)
0.768175 0.640240i \(-0.221165\pi\)
\(380\) −8.14058 + 5.36012i −0.417603 + 0.274968i
\(381\) 15.5703 1.64957i 0.797690 0.0845100i
\(382\) 3.74616 + 1.74686i 0.191670 + 0.0893774i
\(383\) 17.7195 12.4073i 0.905426 0.633986i −0.0253096 0.999680i \(-0.508057\pi\)
0.930735 + 0.365694i \(0.119168\pi\)
\(384\) −1.20215 + 1.24693i −0.0613469 + 0.0636322i
\(385\) −19.2196 + 7.29493i −0.979523 + 0.371784i
\(386\) 2.01666 0.355592i 0.102645 0.0180991i
\(387\) 0.145493 2.86722i 0.00739580 0.145749i
\(388\) −1.98578 7.41105i −0.100813 0.376239i
\(389\) −28.2078 10.2668i −1.43019 0.520547i −0.493204 0.869914i \(-0.664174\pi\)
−0.936986 + 0.349367i \(0.886397\pi\)
\(390\) 13.2545 + 12.4328i 0.671168 + 0.629560i
\(391\) 12.2641 21.2420i 0.620221 1.07425i
\(392\) −11.7721 3.15432i −0.594580 0.159317i
\(393\) −10.8856 + 19.6766i −0.549106 + 0.992555i
\(394\) −1.16569 + 1.38922i −0.0587267 + 0.0699877i
\(395\) 10.6032 + 7.21012i 0.533507 + 0.362781i
\(396\) 6.29228 0.230190i 0.316199 0.0115675i
\(397\) 2.52229 + 1.17616i 0.126590 + 0.0590300i 0.484881 0.874580i \(-0.338863\pi\)
−0.358291 + 0.933610i \(0.616641\pi\)
\(398\) 13.8551 + 13.8551i 0.694493 + 0.694493i
\(399\) 22.8170 + 23.9387i 1.14228 + 1.19844i
\(400\) −4.26004 + 2.61764i −0.213002 + 0.130882i
\(401\) −12.5742 34.5472i −0.627924 1.72521i −0.686705 0.726936i \(-0.740944\pi\)
0.0587816 0.998271i \(-0.481278\pi\)
\(402\) 11.2340 + 12.9016i 0.560300 + 0.643472i
\(403\) 1.36797 15.6359i 0.0681433 0.778881i
\(404\) −7.80812 6.55179i −0.388469 0.325964i
\(405\) −15.4107 12.9426i −0.765762 0.643124i
\(406\) 17.7063 + 30.6681i 0.878747 + 1.52203i
\(407\) 5.50707 + 20.5526i 0.272975 + 1.01876i
\(408\) 5.50601 3.31457i 0.272588 0.164095i
\(409\) 8.04259 22.0968i 0.397680 1.09262i −0.565731 0.824590i \(-0.691406\pi\)
0.963411 0.268028i \(-0.0863719\pi\)
\(410\) 14.0110 8.34711i 0.691953 0.412234i
\(411\) 30.1217 21.9229i 1.48579 1.08138i
\(412\) 2.72574 3.89276i 0.134287 0.191782i
\(413\) −2.03038 23.2074i −0.0999087 1.14196i
\(414\) −15.6478 12.1836i −0.769048 0.598793i
\(415\) −8.83585 + 10.8279i −0.433735 + 0.531519i
\(416\) 1.60484 + 4.40926i 0.0786838 + 0.216182i
\(417\) −4.45184 3.59892i −0.218008 0.176240i
\(418\) 7.26565 + 5.55941i 0.355374 + 0.271920i
\(419\) −18.5294 −0.905222 −0.452611 0.891708i \(-0.649507\pi\)
−0.452611 + 0.891708i \(0.649507\pi\)
\(420\) 11.3148 + 12.6406i 0.552106 + 0.616800i
\(421\) −4.84796 + 27.4941i −0.236275 + 1.33998i 0.603637 + 0.797259i \(0.293718\pi\)
−0.839912 + 0.542722i \(0.817394\pi\)
\(422\) −0.594937 + 6.80016i −0.0289611 + 0.331027i
\(423\) 10.8072 + 35.1401i 0.525465 + 1.70857i
\(424\) 1.35703 0.239282i 0.0659034 0.0116206i
\(425\) 17.7819 5.29061i 0.862550 0.256632i
\(426\) −6.77497 + 15.2509i −0.328248 + 0.738908i
\(427\) −3.81036 8.17134i −0.184396 0.395439i
\(428\) −0.748693 1.60558i −0.0361895 0.0776085i
\(429\) 6.92502 15.5887i 0.334343 0.752627i
\(430\) 1.49224 1.53368i 0.0719623 0.0739607i
\(431\) 26.3543 4.64698i 1.26944 0.223837i 0.501951 0.864896i \(-0.332616\pi\)
0.767491 + 0.641059i \(0.221505\pi\)
\(432\) −2.04220 4.77801i −0.0982555 0.229882i
\(433\) 3.12133 35.6769i 0.150001 1.71452i −0.432449 0.901658i \(-0.642351\pi\)
0.582451 0.812866i \(-0.302094\pi\)
\(434\) 2.54435 14.4297i 0.122133 0.692649i
\(435\) 1.73028 31.2630i 0.0829605 1.49895i
\(436\) 5.00629 0.239758
\(437\) −6.27499 28.1232i −0.300174 1.34531i
\(438\) −12.2513 9.90411i −0.585391 0.473237i
\(439\) 4.24023 + 11.6499i 0.202375 + 0.556021i 0.998814 0.0486986i \(-0.0155074\pi\)
−0.796438 + 0.604720i \(0.793285\pi\)
\(440\) 3.63611 + 2.96717i 0.173345 + 0.141454i
\(441\) 22.4620 28.8486i 1.06962 1.37375i
\(442\) −1.51741 17.3441i −0.0721759 0.824975i
\(443\) 0.918202 1.31133i 0.0436251 0.0623031i −0.796747 0.604313i \(-0.793448\pi\)
0.840372 + 0.542010i \(0.182337\pi\)
\(444\) 14.1972 10.3329i 0.673770 0.490377i
\(445\) −3.37211 + 13.3114i −0.159854 + 0.631021i
\(446\) 5.55714 15.2681i 0.263138 0.722967i
\(447\) 32.6464 19.6528i 1.54412 0.929547i
\(448\) 1.13371 + 4.23108i 0.0535630 + 0.199900i
\(449\) 0.105165 + 0.182151i 0.00496304 + 0.00859624i 0.868496 0.495696i \(-0.165087\pi\)
−0.863533 + 0.504292i \(0.831754\pi\)
\(450\) −2.25967 14.8288i −0.106522 0.699037i
\(451\) −11.7266 9.83978i −0.552184 0.463337i
\(452\) 0.246496 2.81746i 0.0115942 0.132522i
\(453\) 3.19603 + 3.67046i 0.150163 + 0.172453i
\(454\) 9.10937 + 25.0278i 0.427524 + 1.17461i
\(455\) 44.2262 12.5019i 2.07336 0.586098i
\(456\) 2.12839 7.24362i 0.0996709 0.339213i
\(457\) −18.4185 18.4185i −0.861581 0.861581i 0.129941 0.991522i \(-0.458521\pi\)
−0.991522 + 0.129941i \(0.958521\pi\)
\(458\) −8.43589 3.93372i −0.394183 0.183811i
\(459\) 2.73080 + 19.0857i 0.127463 + 0.890845i
\(460\) −2.76590 14.5206i −0.128961 0.677025i
\(461\) −5.57687 + 6.64625i −0.259741 + 0.309547i −0.880116 0.474758i \(-0.842536\pi\)
0.620376 + 0.784305i \(0.286980\pi\)
\(462\) 7.70843 13.9336i 0.358628 0.648251i
\(463\) 8.06612 + 2.16131i 0.374865 + 0.100445i 0.441332 0.897344i \(-0.354506\pi\)
−0.0664673 + 0.997789i \(0.521173\pi\)
\(464\) 4.04221 7.00132i 0.187655 0.325028i
\(465\) −8.86316 + 9.44892i −0.411019 + 0.438183i
\(466\) 2.24266 + 0.816260i 0.103889 + 0.0378125i
\(467\) 2.41122 + 8.99880i 0.111578 + 0.416415i 0.999008 0.0445274i \(-0.0141782\pi\)
−0.887430 + 0.460942i \(0.847512\pi\)
\(468\) −14.0586 0.713382i −0.649861 0.0329761i
\(469\) 42.6064 7.51265i 1.96738 0.346902i
\(470\) −11.2397 + 24.9914i −0.518447 + 1.15277i
\(471\) 1.63765 1.69866i 0.0754589 0.0782699i
\(472\) −4.35651 + 3.05046i −0.200525 + 0.140409i
\(473\) −1.82034 0.848837i −0.0836991 0.0390295i
\(474\) −9.87693 + 1.04640i −0.453662 + 0.0480626i
\(475\) 11.1769 18.7103i 0.512833 0.858488i
\(476\) 16.2531i 0.744957i
\(477\) −0.923239 + 4.02949i −0.0422722 + 0.184498i
\(478\) 10.3174 + 14.7347i 0.471905 + 0.673951i
\(479\) 12.7591 10.7061i 0.582977 0.489176i −0.302946 0.953008i \(-0.597970\pi\)
0.885923 + 0.463832i \(0.153526\pi\)
\(480\) 1.20760 3.67990i 0.0551193 0.167964i
\(481\) −8.26033 46.8466i −0.376639 2.13602i
\(482\) −0.643291 0.172369i −0.0293011 0.00785120i
\(483\) −46.8079 + 18.0125i −2.12983 + 0.819596i
\(484\) −2.25559 + 6.19719i −0.102527 + 0.281691i
\(485\) 11.2067 + 12.9902i 0.508871 + 0.589853i
\(486\) 15.5883 0.0646922i 0.707101 0.00293450i
\(487\) 0.367578 1.37182i 0.0166565 0.0621630i −0.957097 0.289767i \(-0.906422\pi\)
0.973754 + 0.227604i \(0.0730890\pi\)
\(488\) −1.18060 + 1.68606i −0.0534430 + 0.0763246i
\(489\) −8.95117 + 13.2944i −0.404786 + 0.601196i
\(490\) 26.7704 5.09927i 1.20937 0.230362i
\(491\) −3.30283 0.582378i −0.149055 0.0262824i 0.0986229 0.995125i \(-0.468556\pi\)
−0.247678 + 0.968843i \(0.579667\pi\)
\(492\) −4.10294 + 11.9480i −0.184975 + 0.538658i
\(493\) −21.2110 + 21.2110i −0.955296 + 0.955296i
\(494\) −15.0984 13.7973i −0.679307 0.620769i
\(495\) −12.4452 + 6.58375i −0.559370 + 0.295918i
\(496\) −3.14329 + 1.14407i −0.141138 + 0.0513701i
\(497\) 24.2071 + 34.5713i 1.08584 + 1.55074i
\(498\) −0.197913 10.8236i −0.00886868 0.485016i
\(499\) −11.5592 + 13.7757i −0.517459 + 0.616684i −0.959978 0.280076i \(-0.909640\pi\)
0.442519 + 0.896759i \(0.354085\pi\)
\(500\) 6.03124 9.41404i 0.269725 0.421009i
\(501\) −1.40331 + 1.02135i −0.0626954 + 0.0456304i
\(502\) 9.62769 2.57973i 0.429705 0.115139i
\(503\) 11.4992 + 24.6600i 0.512722 + 1.09954i 0.976881 + 0.213784i \(0.0685787\pi\)
−0.464159 + 0.885752i \(0.653643\pi\)
\(504\) −13.0161 1.80727i −0.579785 0.0805023i
\(505\) 22.0938 + 5.59693i 0.983163 + 0.249060i
\(506\) −12.0156 + 6.93721i −0.534159 + 0.308397i
\(507\) −7.56047 + 13.6662i −0.335772 + 0.606937i
\(508\) −9.00541 + 0.787872i −0.399551 + 0.0349561i
\(509\) 10.0691 8.44897i 0.446304 0.374494i −0.391758 0.920068i \(-0.628133\pi\)
0.838062 + 0.545574i \(0.183688\pi\)
\(510\) −7.86203 + 12.0292i −0.348136 + 0.532660i
\(511\) −37.4388 + 13.6266i −1.65619 + 0.602806i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) 17.5323 + 14.3394i 0.774070 + 0.633100i
\(514\) 25.1214i 1.10806i
\(515\) −1.70175 + 10.4890i −0.0749880 + 0.462202i
\(516\) −0.114250 + 1.65358i −0.00502959 + 0.0727948i
\(517\) 25.6229 + 2.24171i 1.12689 + 0.0985903i
\(518\) −3.87035 44.2383i −0.170053 1.94372i
\(519\) −0.0544032 0.189134i −0.00238804 0.00830206i
\(520\) −7.51998 7.31680i −0.329773 0.320863i
\(521\) 0.941262 + 0.543438i 0.0412374 + 0.0238084i 0.520477 0.853876i \(-0.325754\pi\)
−0.479240 + 0.877684i \(0.659087\pi\)
\(522\) 14.6281 + 19.3453i 0.640255 + 0.846719i
\(523\) −21.8377 + 10.1831i −0.954895 + 0.445275i −0.836667 0.547711i \(-0.815499\pi\)
−0.118228 + 0.992986i \(0.537721\pi\)
\(524\) 6.49144 11.2435i 0.283580 0.491175i
\(525\) −35.0767 14.4456i −1.53087 0.630458i
\(526\) 1.45523 + 8.25304i 0.0634512 + 0.359850i
\(527\) 12.3643 1.08174i 0.538599 0.0471213i
\(528\) −3.63467 + 0.0664612i −0.158179 + 0.00289235i
\(529\) 20.3849 + 3.59442i 0.886302 + 0.156279i
\(530\) −2.49956 + 1.80172i −0.108574 + 0.0782616i
\(531\) −3.34313 15.6008i −0.145079 0.677016i
\(532\) −12.9185 14.0596i −0.560089 0.609560i
\(533\) 24.1995 + 24.1995i 1.04820 + 1.04820i
\(534\) −4.67075 9.55631i −0.202123 0.413542i
\(535\) 3.06913 + 2.50450i 0.132690 + 0.108279i
\(536\) −6.34867 7.56606i −0.274221 0.326804i
\(537\) 1.39072 0.271528i 0.0600142 0.0117173i
\(538\) −3.85088 2.69641i −0.166023 0.116251i
\(539\) −12.7896 22.1522i −0.550887 0.954164i
\(540\) 8.75925 + 7.63384i 0.376938 + 0.328508i
\(541\) −20.3075 7.39133i −0.873088 0.317778i −0.133671 0.991026i \(-0.542677\pi\)
−0.739417 + 0.673248i \(0.764899\pi\)
\(542\) 9.44913 4.40620i 0.405875 0.189263i
\(543\) −8.95141 23.2615i −0.384142 0.998247i
\(544\) −3.21335 + 1.85523i −0.137771 + 0.0795422i
\(545\) −10.0798 + 4.86944i −0.431773 + 0.208584i
\(546\) −19.8827 + 29.5302i −0.850901 + 1.26377i
\(547\) 24.9512 + 2.18295i 1.06684 + 0.0933362i 0.607027 0.794681i \(-0.292362\pi\)
0.459810 + 0.888017i \(0.347917\pi\)
\(548\) −17.6192 + 12.3371i −0.752657 + 0.527016i
\(549\) −3.28089 5.23119i −0.140025 0.223262i
\(550\) −10.2071 2.43749i −0.435234 0.103935i
\(551\) −1.48912 + 35.2077i −0.0634387 + 1.49990i
\(552\) 8.90415 + 7.19821i 0.378986 + 0.306376i
\(553\) −10.6155 + 22.7650i −0.451417 + 0.968068i
\(554\) −1.28579 + 7.29209i −0.0546280 + 0.309811i
\(555\) −18.5347 + 34.6137i −0.786755 + 1.46927i
\(556\) 2.53186 + 2.12448i 0.107375 + 0.0900980i
\(557\) 25.9956 + 18.2023i 1.10147 + 0.771257i 0.975329 0.220755i \(-0.0708522\pi\)
0.126140 + 0.992012i \(0.459741\pi\)
\(558\) 0.508559 10.0222i 0.0215290 0.424273i
\(559\) 3.88875 + 2.24517i 0.164476 + 0.0949605i
\(560\) −6.39809 7.41629i −0.270369 0.313395i
\(561\) 13.0906 + 3.25231i 0.552685 + 0.137313i
\(562\) −5.36436 + 1.43738i −0.226282 + 0.0606321i
\(563\) 2.49742 9.32050i 0.105254 0.392812i −0.893120 0.449818i \(-0.851489\pi\)
0.998374 + 0.0570059i \(0.0181554\pi\)
\(564\) −5.86760 20.3988i −0.247070 0.858945i
\(565\) 2.24414 + 5.91253i 0.0944116 + 0.248742i
\(566\) −21.2048 25.2709i −0.891303 1.06221i
\(567\) 20.1921 33.8594i 0.847987 1.42196i
\(568\) 4.07185 8.73212i 0.170851 0.366392i
\(569\) −41.2198 −1.72802 −0.864011 0.503473i \(-0.832055\pi\)
−0.864011 + 0.503473i \(0.832055\pi\)
\(570\) 2.76024 + 16.6548i 0.115614 + 0.697591i
\(571\) 28.6992 1.20102 0.600511 0.799616i \(-0.294964\pi\)
0.600511 + 0.799616i \(0.294964\pi\)
\(572\) −4.16203 + 8.92551i −0.174023 + 0.373194i
\(573\) 5.39931 4.70142i 0.225559 0.196405i
\(574\) 20.5360 + 24.4739i 0.857156 + 1.02152i
\(575\) 19.6926 + 26.5459i 0.821238 + 1.10704i
\(576\) 1.12844 + 2.77968i 0.0470182 + 0.115820i
\(577\) 0.982927 3.66833i 0.0409198 0.152715i −0.942443 0.334366i \(-0.891478\pi\)
0.983363 + 0.181652i \(0.0581444\pi\)
\(578\) −3.12237 + 0.836637i −0.129873 + 0.0347995i
\(579\) 0.855202 3.44220i 0.0355410 0.143053i
\(580\) −1.32880 + 18.0284i −0.0551754 + 0.748589i
\(581\) −23.7094 13.6886i −0.983633 0.567901i
\(582\) −13.1272 2.06798i −0.544142 0.0857206i
\(583\) 2.36909 + 1.65885i 0.0981176 + 0.0687027i
\(584\) 6.96759 + 5.84650i 0.288321 + 0.241930i
\(585\) 29.0000 12.2380i 1.19900 0.505979i
\(586\) 4.31096 24.4486i 0.178084 1.00996i
\(587\) −8.46664 + 18.1568i −0.349456 + 0.749410i −0.999949 0.0101021i \(-0.996784\pi\)
0.650493 + 0.759512i \(0.274562\pi\)
\(588\) −13.2708 + 16.4159i −0.547278 + 0.676980i
\(589\) 9.83586 10.7634i 0.405280 0.443497i
\(590\) 5.80448 10.3793i 0.238967 0.427311i
\(591\) 1.37929 + 2.82203i 0.0567366 + 0.116083i
\(592\) −8.30446 + 5.81484i −0.341311 + 0.238989i
\(593\) −28.0627 2.45516i −1.15240 0.100822i −0.505100 0.863061i \(-0.668544\pi\)
−0.647295 + 0.762239i \(0.724100\pi\)
\(594\) 4.06021 10.1219i 0.166592 0.415305i
\(595\) 15.8088 + 32.7245i 0.648096 + 1.34157i
\(596\) −19.0527 + 11.0001i −0.780429 + 0.450581i
\(597\) 31.6737 12.1886i 1.29632 0.498844i
\(598\) 28.1121 13.1089i 1.14959 0.536063i
\(599\) −18.7130 6.81097i −0.764592 0.278289i −0.0698597 0.997557i \(-0.522255\pi\)
−0.694733 + 0.719268i \(0.744477\pi\)
\(600\) 1.14788 + 8.58384i 0.0468620 + 0.350434i
\(601\) −6.79544 11.7701i −0.277192 0.480110i 0.693494 0.720463i \(-0.256070\pi\)
−0.970686 + 0.240352i \(0.922737\pi\)
\(602\) 3.43377 + 2.40435i 0.139950 + 0.0979940i
\(603\) 28.3212 8.71010i 1.15333 0.354703i
\(604\) −1.80618 2.15252i −0.0734924 0.0875849i
\(605\) −1.48630 14.6716i −0.0604266 0.596485i
\(606\) −15.8613 + 7.75235i −0.644319 + 0.314918i
\(607\) 22.9974 + 22.9974i 0.933434 + 0.933434i 0.997919 0.0644843i \(-0.0205402\pi\)
−0.0644843 + 0.997919i \(0.520540\pi\)
\(608\) −1.30508 + 4.15894i −0.0529279 + 0.168667i
\(609\) 60.9949 6.46201i 2.47164 0.261854i
\(610\) 0.737077 4.54311i 0.0298434 0.183945i
\(611\) −56.6289 9.98520i −2.29096 0.403958i
\(612\) −1.37491 11.0461i −0.0555775 0.446513i
\(613\) 37.9294 3.31839i 1.53195 0.134028i 0.710252 0.703948i \(-0.248581\pi\)
0.821701 + 0.569919i \(0.193026\pi\)
\(614\) 0.0444376 + 0.252018i 0.00179336 + 0.0101706i
\(615\) −3.36040 28.0473i −0.135504 1.13098i
\(616\) −4.59679 + 7.96188i −0.185210 + 0.320793i
\(617\) −19.5706 + 9.12590i −0.787881 + 0.367395i −0.774547 0.632516i \(-0.782022\pi\)
−0.0133339 + 0.999911i \(0.504244\pi\)
\(618\) −4.24514 7.05183i −0.170765 0.283666i
\(619\) −30.0247 17.3348i −1.20679 0.696743i −0.244737 0.969589i \(-0.578702\pi\)
−0.962058 + 0.272846i \(0.912035\pi\)
\(620\) 5.21603 5.36087i 0.209481 0.215298i
\(621\) −30.2885 + 16.2016i −1.21544 + 0.650146i
\(622\) −0.940625 10.7514i −0.0377156 0.431092i
\(623\) −26.7977 2.34449i −1.07363 0.0939301i
\(624\) 8.10787 + 0.560195i 0.324575 + 0.0224258i
\(625\) −2.98681 + 24.8209i −0.119472 + 0.992838i
\(626\) 8.13712i 0.325225i
\(627\) 13.9090 7.59149i 0.555470 0.303175i
\(628\) −0.963269 + 0.963269i −0.0384386 + 0.0384386i
\(629\) 35.3476 12.8655i 1.40940 0.512980i
\(630\) 27.9650 9.02152i 1.11415 0.359426i
\(631\) 5.68332 4.76888i 0.226250 0.189846i −0.522615 0.852569i \(-0.675044\pi\)
0.748865 + 0.662723i \(0.230599\pi\)
\(632\) 5.71254 0.499782i 0.227233 0.0198803i
\(633\) 10.3456 + 5.72342i 0.411200 + 0.227486i
\(634\) 8.79156 5.07581i 0.349157 0.201586i
\(635\) 17.3655 10.3456i 0.689128 0.410552i
\(636\) 0.575476 2.31630i 0.0228191 0.0918471i
\(637\) 24.1679 + 51.8282i 0.957566 + 2.05351i
\(638\) 16.3897 4.39160i 0.648873 0.173865i
\(639\) 19.3765 + 21.4481i 0.766523 + 0.848473i
\(640\) −0.735936 + 2.11149i −0.0290904 + 0.0834640i
\(641\) −1.32095 + 1.57424i −0.0521742 + 0.0621788i −0.791500 0.611169i \(-0.790700\pi\)
0.739326 + 0.673347i \(0.235144\pi\)
\(642\) −3.06792 + 0.0560979i −0.121081 + 0.00221401i
\(643\) −7.68442 10.9745i −0.303044 0.432791i 0.638531 0.769596i \(-0.279543\pi\)
−0.941574 + 0.336805i \(0.890654\pi\)
\(644\) 27.2102 9.90369i 1.07223 0.390260i
\(645\) −1.37834 3.44050i −0.0542722 0.135470i
\(646\) 8.67142 13.6524i 0.341172 0.537148i
\(647\) −33.8233 + 33.8233i −1.32973 + 1.32973i −0.424127 + 0.905603i \(0.639419\pi\)
−0.905603 + 0.424127i \(0.860581\pi\)
\(648\) −8.99910 0.127195i −0.353518 0.00499670i
\(649\) −10.9927 1.93831i −0.431500 0.0760851i
\(650\) 22.2578 + 7.41748i 0.873022 + 0.290938i
\(651\) −21.0516 14.1741i −0.825076 0.555525i
\(652\) 5.30743 7.57979i 0.207855 0.296847i
\(653\) 3.26158 12.1724i 0.127635 0.476342i −0.872285 0.488999i \(-0.837362\pi\)
0.999920 + 0.0126570i \(0.00402895\pi\)
\(654\) 3.52030 7.92441i 0.137654 0.309869i
\(655\) −2.13394 + 28.9521i −0.0833798 + 1.13125i
\(656\) 2.49455 6.85372i 0.0973959 0.267593i
\(657\) −24.2920 + 12.4282i −0.947719 + 0.484871i
\(658\) −51.8511 13.8935i −2.02137 0.541623i
\(659\) 6.82837 + 38.7256i 0.265996 + 1.50854i 0.766185 + 0.642620i \(0.222153\pi\)
−0.500190 + 0.865916i \(0.666736\pi\)
\(660\) 7.25353 3.66913i 0.282343 0.142821i
\(661\) −12.0048 + 10.0733i −0.466934 + 0.391805i −0.845675 0.533698i \(-0.820802\pi\)
0.378740 + 0.925503i \(0.376357\pi\)
\(662\) −3.96127 5.65727i −0.153959 0.219876i
\(663\) −28.5208 9.79404i −1.10766 0.380369i
\(664\) 6.25004i 0.242549i
\(665\) 39.6859 + 15.7427i 1.53895 + 0.610474i
\(666\) −6.37272 29.7385i −0.246938 1.15234i
\(667\) −48.4354 22.5858i −1.87542 0.874525i
\(668\) 0.820848 0.574764i 0.0317596 0.0222383i
\(669\) −20.2601 19.5325i −0.783302 0.755171i
\(670\) 20.1419 + 9.05863i 0.778149 + 0.349966i
\(671\) −4.25440 + 0.750166i −0.164239 + 0.0289598i
\(672\) 7.49454 + 1.18064i 0.289108 + 0.0455443i
\(673\) −1.35016 5.03885i −0.0520447 0.194233i 0.935009 0.354624i \(-0.115391\pi\)
−0.987054 + 0.160391i \(0.948725\pi\)
\(674\) −18.6384 6.78384i −0.717926 0.261304i
\(675\) −25.0614 6.85044i −0.964612 0.263674i
\(676\) 4.50856 7.80905i 0.173406 0.300348i
\(677\) 17.3845 + 4.65816i 0.668140 + 0.179028i 0.576917 0.816803i \(-0.304256\pi\)
0.0912231 + 0.995830i \(0.470922\pi\)
\(678\) −4.28640 2.37134i −0.164618 0.0910708i
\(679\) −21.6028 + 25.7453i −0.829041 + 0.988013i
\(680\) 4.66536 6.86089i 0.178908 0.263103i
\(681\) 46.0218 + 3.17977i 1.76356 + 0.121849i
\(682\) −6.36286 2.96705i −0.243646 0.113614i
\(683\) −5.66231 5.66231i −0.216662 0.216662i 0.590428 0.807090i \(-0.298959\pi\)
−0.807090 + 0.590428i \(0.798959\pi\)
\(684\) −9.96923 8.46254i −0.381183 0.323573i
\(685\) 23.4753 41.9776i 0.896946 1.60388i
\(686\) 7.77152 + 21.3521i 0.296718 + 0.815226i
\(687\) −12.1586 + 10.5870i −0.463878 + 0.403919i
\(688\) 0.0834055 0.953329i 0.00317980 0.0363453i
\(689\) −4.95306 4.15611i −0.188697 0.158335i
\(690\) −24.9294 5.83238i −0.949046 0.222035i
\(691\) 6.55925 + 11.3610i 0.249526 + 0.432191i 0.963394 0.268088i \(-0.0863920\pi\)
−0.713869 + 0.700280i \(0.753059\pi\)
\(692\) 0.0294081 + 0.109753i 0.00111793 + 0.00417217i
\(693\) −16.6351 21.9994i −0.631913 0.835688i
\(694\) 8.72720 23.9778i 0.331280 0.910184i
\(695\) −7.16413 1.81485i −0.271751 0.0688414i
\(696\) −8.23994 11.3215i −0.312334 0.429142i
\(697\) −15.5224 + 22.1683i −0.587954 + 0.839685i
\(698\) −1.08298 12.3786i −0.0409915 0.468535i
\(699\) 2.86903 2.97591i 0.108517 0.112559i
\(700\) 20.0957 + 8.70902i 0.759546 + 0.329170i
\(701\) −17.6244 48.4225i −0.665663 1.82889i −0.549187 0.835699i \(-0.685063\pi\)
−0.116475 0.993194i \(-0.537160\pi\)
\(702\) −11.0149 + 21.7517i −0.415730 + 0.820963i
\(703\) 20.3512 39.2247i 0.767560 1.47939i
\(704\) 2.09883 0.0791026
\(705\) 31.6552 + 35.3645i 1.19221 + 1.33190i
\(706\) 1.42253 8.06754i 0.0535374 0.303626i
\(707\) −3.89131 + 44.4779i −0.146348 + 1.67276i
\(708\) 1.76516 + 9.04090i 0.0663388 + 0.339778i
\(709\) −8.07605 + 1.42403i −0.303302 + 0.0534804i −0.323228 0.946321i \(-0.604768\pi\)
0.0199257 + 0.999801i \(0.493657\pi\)
\(710\) 0.295009 + 21.5421i 0.0110715 + 0.808461i
\(711\) −5.28888 + 16.3699i −0.198348 + 0.613919i
\(712\) 2.59534 + 5.56572i 0.0972643 + 0.208584i
\(713\) 9.34513 + 20.0407i 0.349978 + 0.750530i
\(714\) −25.7268 11.4287i −0.962802 0.427710i
\(715\) −0.301542 22.0192i −0.0112770 0.823472i
\(716\) −0.805667 + 0.142061i −0.0301092 + 0.00530906i
\(717\) 30.5784 5.97018i 1.14197 0.222960i
\(718\) −1.34788 + 15.4064i −0.0503026 + 0.574961i
\(719\) 3.20851 18.1964i 0.119657 0.678610i −0.864681 0.502321i \(-0.832480\pi\)
0.984338 0.176289i \(-0.0564093\pi\)
\(720\) −4.97573 4.49912i −0.185435 0.167672i
\(721\) −20.8161 −0.775234
\(722\) −3.35031 18.7023i −0.124686 0.696027i
\(723\) −0.725188 + 0.897054i −0.0269700 + 0.0333618i
\(724\) 4.92171 + 13.5223i 0.182914 + 0.502551i
\(725\) −14.8602 37.5915i −0.551892 1.39611i
\(726\) 8.22340 + 7.92807i 0.305199 + 0.294238i
\(727\) −2.09289 23.9218i −0.0776210 0.887212i −0.930784 0.365568i \(-0.880875\pi\)
0.853163 0.521644i \(-0.174681\pi\)
\(728\) 11.7891 16.8365i 0.436932 0.624003i
\(729\) 10.8589 24.7201i 0.402182 0.915560i
\(730\) −19.7155 4.99442i −0.729702 0.184852i
\(731\) −1.21444 + 3.33666i −0.0449178 + 0.123411i
\(732\) 1.83869 + 3.05435i 0.0679600 + 0.112892i
\(733\) −7.09469 26.4777i −0.262048 0.977977i −0.964032 0.265785i \(-0.914369\pi\)
0.701984 0.712193i \(-0.252298\pi\)
\(734\) 2.30208 + 3.98732i 0.0849713 + 0.147175i
\(735\) 10.7527 45.9604i 0.396620 1.69527i
\(736\) −5.06398 4.24918i −0.186661 0.156627i
\(737\) 1.80671 20.6508i 0.0665511 0.760682i
\(738\) 16.0273 + 14.8960i 0.589974 + 0.548331i
\(739\) 12.4940 + 34.3270i 0.459600 + 1.26274i 0.925784 + 0.378053i \(0.123406\pi\)
−0.466184 + 0.884688i \(0.654371\pi\)
\(740\) 11.0646 19.7853i 0.406743 0.727321i
\(741\) −32.4564 + 14.1972i −1.19231 + 0.521546i
\(742\) −4.26808 4.26808i −0.156686 0.156686i
\(743\) −3.43717 1.60278i −0.126098 0.0588003i 0.358546 0.933512i \(-0.383273\pi\)
−0.484643 + 0.874712i \(0.661051\pi\)
\(744\) −0.399354 + 5.77997i −0.0146410 + 0.211904i
\(745\) 27.6620 40.6798i 1.01346 1.49039i
\(746\) 8.45045 10.0709i 0.309393 0.368720i
\(747\) −17.2717 7.29760i −0.631939 0.267005i
\(748\) −7.52226 2.01558i −0.275041 0.0736970i
\(749\) −3.88001 + 6.72038i −0.141773 + 0.245557i
\(750\) −10.6604 16.1665i −0.389262 0.590318i
\(751\) 17.5546 + 6.38934i 0.640575 + 0.233150i 0.641828 0.766849i \(-0.278177\pi\)
−0.00125265 + 0.999999i \(0.500399\pi\)
\(752\) 3.17178 + 11.8372i 0.115663 + 0.431659i
\(753\) 2.68652 17.0536i 0.0979021 0.621467i
\(754\) −37.3577 + 6.58718i −1.36049 + 0.239891i
\(755\) 5.73031 + 2.57716i 0.208547 + 0.0937923i
\(756\) −12.0133 + 19.3323i −0.436921 + 0.703110i
\(757\) 14.1258 9.89101i 0.513412 0.359495i −0.287978 0.957637i \(-0.592983\pi\)
0.801390 + 0.598142i \(0.204094\pi\)
\(758\) 22.5927 + 10.5352i 0.820604 + 0.382654i
\(759\) 2.53178 + 23.8975i 0.0918978 + 0.867423i
\(760\) −1.41756 9.64316i −0.0514204 0.349794i
\(761\) 6.10102i 0.221162i 0.993867 + 0.110581i \(0.0352711\pi\)
−0.993867 + 0.110581i \(0.964729\pi\)
\(762\) −5.08527 + 14.8086i −0.184220 + 0.536459i
\(763\) −12.5781 17.9634i −0.455357 0.650318i
\(764\) −3.16639 + 2.65692i −0.114556 + 0.0961240i
\(765\) 13.5125 + 20.9033i 0.488545 + 0.755762i
\(766\) 3.75628 + 21.3029i 0.135720 + 0.769706i
\(767\) 24.1045 + 6.45879i 0.870364 + 0.233213i
\(768\) −0.622053 1.61649i −0.0224464 0.0583302i
\(769\) 11.5187 31.6473i 0.415373 1.14123i −0.538920 0.842357i \(-0.681167\pi\)
0.954293 0.298872i \(-0.0966104\pi\)
\(770\) 1.51111 20.5019i 0.0544565 0.738836i
\(771\) −39.7645 17.6647i −1.43208 0.636180i
\(772\) −0.530002 + 1.97799i −0.0190752 + 0.0711896i
\(773\) −12.2291 + 17.4650i −0.439851 + 0.628173i −0.976470 0.215652i