Properties

Label 384.2.w.a.179.42
Level $384$
Weight $2$
Character 384.179
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 179.42
Character \(\chi\) \(=\) 384.179
Dual form 384.2.w.a.251.42

$q$-expansion

\(f(q)\) \(=\) \(q+(0.726644 - 1.21326i) q^{2} +(-0.594224 - 1.62693i) q^{3} +(-0.943978 - 1.76321i) q^{4} +(-0.0821559 - 0.834143i) q^{5} +(-2.40567 - 0.461252i) q^{6} +(0.978435 + 0.653770i) q^{7} +(-2.82516 - 0.135938i) q^{8} +(-2.29380 + 1.93352i) q^{9} +O(q^{10})\) \(q+(0.726644 - 1.21326i) q^{2} +(-0.594224 - 1.62693i) q^{3} +(-0.943978 - 1.76321i) q^{4} +(-0.0821559 - 0.834143i) q^{5} +(-2.40567 - 0.461252i) q^{6} +(0.978435 + 0.653770i) q^{7} +(-2.82516 - 0.135938i) q^{8} +(-2.29380 + 1.93352i) q^{9} +(-1.07173 - 0.506449i) q^{10} +(-1.45799 - 2.72770i) q^{11} +(-2.30768 + 2.58353i) q^{12} +(0.457931 - 4.64945i) q^{13} +(1.50416 - 0.712034i) q^{14} +(-1.30827 + 0.629330i) q^{15} +(-2.21781 + 3.32886i) q^{16} +(-2.49467 + 6.02266i) q^{17} +(0.679083 + 4.18794i) q^{18} +(3.16631 - 2.59852i) q^{19} +(-1.39322 + 0.932271i) q^{20} +(0.482227 - 1.98033i) q^{21} +(-4.36883 - 0.213156i) q^{22} +(0.368921 - 1.85469i) q^{23} +(1.45762 + 4.67711i) q^{24} +(4.21488 - 0.838392i) q^{25} +(-5.30822 - 3.93408i) q^{26} +(4.50873 + 2.58290i) q^{27} +(0.229111 - 2.34233i) q^{28} +(-3.90338 + 7.30270i) q^{29} +(-0.187110 + 2.04457i) q^{30} +(0.0671033 + 0.0671033i) q^{31} +(2.42720 + 5.10967i) q^{32} +(-3.57140 + 3.99291i) q^{33} +(5.49429 + 7.40300i) q^{34} +(0.464953 - 0.869866i) q^{35} +(5.57449 + 2.21924i) q^{36} +(-0.480316 - 0.394185i) q^{37} +(-0.851894 - 5.72975i) q^{38} +(-7.83644 + 2.01779i) q^{39} +(0.118712 + 2.36775i) q^{40} +(1.26074 - 6.33816i) q^{41} +(-2.05224 - 2.02406i) q^{42} +(3.03253 - 9.99691i) q^{43} +(-3.43320 + 5.14562i) q^{44} +(1.80128 + 1.75450i) q^{45} +(-1.98214 - 1.79529i) q^{46} +(4.56889 - 11.0303i) q^{47} +(6.73370 + 1.63013i) q^{48} +(-2.14886 - 5.18781i) q^{49} +(2.04553 - 5.72294i) q^{50} +(11.2808 + 0.479837i) q^{51} +(-8.63023 + 3.58155i) q^{52} +(-0.544156 - 1.01805i) q^{53} +(6.40995 - 3.59339i) q^{54} +(-2.15551 + 1.44027i) q^{55} +(-2.67536 - 1.98001i) q^{56} +(-6.10911 - 3.60726i) q^{57} +(6.02368 + 10.0423i) q^{58} +(-0.557902 - 5.66447i) q^{59} +(2.34462 + 1.71268i) q^{60} +(2.81803 + 9.28979i) q^{61} +(0.130174 - 0.0326533i) q^{62} +(-3.50841 + 0.392211i) q^{63} +(7.96304 + 0.768095i) q^{64} -3.91593 q^{65} +(2.24928 + 7.23445i) q^{66} +(8.24903 - 2.50231i) q^{67} +(12.9741 - 1.28664i) q^{68} +(-3.23667 + 0.501894i) q^{69} +(-0.717515 - 1.19619i) q^{70} +(4.69091 + 3.13437i) q^{71} +(6.74318 - 5.15069i) q^{72} +(0.764817 + 1.14463i) q^{73} +(-0.827266 + 0.296314i) q^{74} +(-3.86859 - 6.35912i) q^{75} +(-7.57067 - 3.12992i) q^{76} +(0.356742 - 3.62207i) q^{77} +(-3.24620 + 10.9738i) q^{78} +(-5.43599 + 2.25166i) q^{79} +(2.95895 + 1.57649i) q^{80} +(1.52299 - 8.87020i) q^{81} +(-6.77369 - 6.13518i) q^{82} +(-5.05645 + 4.14972i) q^{83} +(-3.94695 + 1.01912i) q^{84} +(5.22871 + 1.58611i) q^{85} +(-9.92524 - 10.9434i) q^{86} +(14.2005 + 2.01107i) q^{87} +(3.74824 + 7.90438i) q^{88} +(5.57606 - 1.10915i) q^{89} +(3.43755 - 0.910516i) q^{90} +(3.48772 - 4.24980i) q^{91} +(-3.61846 + 1.10030i) q^{92} +(0.0692979 - 0.149047i) q^{93} +(-10.0626 - 13.5583i) q^{94} +(-2.42767 - 2.42767i) q^{95} +(6.87077 - 6.98517i) q^{96} +(-6.43546 + 6.43546i) q^{97} +(-7.85560 - 1.16257i) q^{98} +(8.61839 + 3.43774i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992 q - 16 q^{3} - 32 q^{4} - 16 q^{6} - 32 q^{7} - 16 q^{9} + O(q^{10}) \) \( 992 q - 16 q^{3} - 32 q^{4} - 16 q^{6} - 32 q^{7} - 16 q^{9} - 32 q^{10} - 16 q^{12} - 32 q^{13} - 16 q^{15} - 32 q^{16} - 16 q^{18} - 32 q^{19} - 16 q^{21} - 32 q^{22} - 16 q^{24} - 32 q^{25} - 16 q^{27} - 32 q^{28} - 16 q^{30} - 32 q^{31} - 16 q^{33} - 32 q^{34} - 16 q^{36} - 32 q^{37} - 16 q^{39} - 32 q^{40} - 16 q^{42} - 32 q^{43} - 16 q^{45} - 32 q^{46} - 16 q^{48} - 32 q^{49} - 16 q^{51} - 128 q^{52} - 16 q^{54} - 32 q^{55} - 16 q^{57} - 320 q^{58} - 16 q^{60} - 32 q^{61} - 32 q^{63} - 224 q^{64} - 16 q^{66} - 32 q^{67} - 16 q^{69} - 224 q^{70} - 16 q^{72} - 32 q^{73} - 16 q^{75} - 256 q^{76} - 16 q^{78} - 32 q^{79} - 16 q^{81} - 32 q^{82} - 16 q^{84} - 32 q^{85} - 16 q^{87} - 32 q^{88} - 16 q^{90} - 32 q^{91} - 16 q^{93} - 32 q^{94} - 16 q^{96} - 32 q^{97} - 16 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{31}{32}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.726644 1.21326i 0.513815 0.857901i
\(3\) −0.594224 1.62693i −0.343075 0.939308i
\(4\) −0.943978 1.76321i −0.471989 0.881604i
\(5\) −0.0821559 0.834143i −0.0367412 0.373040i −0.995920 0.0902398i \(-0.971237\pi\)
0.959179 0.282800i \(-0.0912634\pi\)
\(6\) −2.40567 0.461252i −0.982111 0.188305i
\(7\) 0.978435 + 0.653770i 0.369814 + 0.247102i 0.726565 0.687098i \(-0.241116\pi\)
−0.356751 + 0.934199i \(0.616116\pi\)
\(8\) −2.82516 0.135938i −0.998844 0.0480615i
\(9\) −2.29380 + 1.93352i −0.764598 + 0.644507i
\(10\) −1.07173 0.506449i −0.338910 0.160153i
\(11\) −1.45799 2.72770i −0.439599 0.822433i 0.560384 0.828233i \(-0.310654\pi\)
−0.999983 + 0.00580043i \(0.998154\pi\)
\(12\) −2.30768 + 2.58353i −0.666170 + 0.745800i
\(13\) 0.457931 4.64945i 0.127007 1.28953i −0.694569 0.719426i \(-0.744405\pi\)
0.821576 0.570099i \(-0.193095\pi\)
\(14\) 1.50416 0.712034i 0.402005 0.190299i
\(15\) −1.30827 + 0.629330i −0.337794 + 0.162492i
\(16\) −2.21781 + 3.32886i −0.554453 + 0.832215i
\(17\) −2.49467 + 6.02266i −0.605046 + 1.46071i 0.263282 + 0.964719i \(0.415195\pi\)
−0.868328 + 0.495991i \(0.834805\pi\)
\(18\) 0.679083 + 4.18794i 0.160061 + 0.987107i
\(19\) 3.16631 2.59852i 0.726402 0.596142i −0.196807 0.980442i \(-0.563057\pi\)
0.923208 + 0.384300i \(0.125557\pi\)
\(20\) −1.39322 + 0.932271i −0.311532 + 0.208462i
\(21\) 0.482227 1.98033i 0.105230 0.432143i
\(22\) −4.36883 0.213156i −0.931439 0.0454451i
\(23\) 0.368921 1.85469i 0.0769253 0.386730i −0.923072 0.384626i \(-0.874330\pi\)
0.999998 0.00210361i \(-0.000669600\pi\)
\(24\) 1.45762 + 4.67711i 0.297534 + 0.954711i
\(25\) 4.21488 0.838392i 0.842976 0.167678i
\(26\) −5.30822 3.93408i −1.04103 0.771537i
\(27\) 4.50873 + 2.58290i 0.867705 + 0.497079i
\(28\) 0.229111 2.34233i 0.0432979 0.442659i
\(29\) −3.90338 + 7.30270i −0.724839 + 1.35608i 0.201538 + 0.979481i \(0.435406\pi\)
−0.926377 + 0.376597i \(0.877094\pi\)
\(30\) −0.187110 + 2.04457i −0.0341615 + 0.373285i
\(31\) 0.0671033 + 0.0671033i 0.0120521 + 0.0120521i 0.713107 0.701055i \(-0.247287\pi\)
−0.701055 + 0.713107i \(0.747287\pi\)
\(32\) 2.42720 + 5.10967i 0.429072 + 0.903270i
\(33\) −3.57140 + 3.99291i −0.621702 + 0.695076i
\(34\) 5.49429 + 7.40300i 0.942263 + 1.26960i
\(35\) 0.464953 0.869866i 0.0785914 0.147034i
\(36\) 5.57449 + 2.21924i 0.929082 + 0.369873i
\(37\) −0.480316 0.394185i −0.0789635 0.0648037i 0.594084 0.804403i \(-0.297515\pi\)
−0.673047 + 0.739600i \(0.735015\pi\)
\(38\) −0.851894 5.72975i −0.138195 0.929488i
\(39\) −7.83644 + 2.01779i −1.25483 + 0.323106i
\(40\) 0.118712 + 2.36775i 0.0187699 + 0.374375i
\(41\) 1.26074 6.33816i 0.196894 0.989854i −0.748304 0.663356i \(-0.769132\pi\)
0.945198 0.326498i \(-0.105868\pi\)
\(42\) −2.05224 2.02406i −0.316667 0.312319i
\(43\) 3.03253 9.99691i 0.462456 1.52451i −0.347303 0.937753i \(-0.612903\pi\)
0.809760 0.586762i \(-0.199597\pi\)
\(44\) −3.43320 + 5.14562i −0.517574 + 0.775732i
\(45\) 1.80128 + 1.75450i 0.268519 + 0.261546i
\(46\) −1.98214 1.79529i −0.292250 0.264702i
\(47\) 4.56889 11.0303i 0.666441 1.60893i −0.121080 0.992643i \(-0.538636\pi\)
0.787521 0.616288i \(-0.211364\pi\)
\(48\) 6.73370 + 1.63013i 0.971925 + 0.235289i
\(49\) −2.14886 5.18781i −0.306980 0.741116i
\(50\) 2.04553 5.72294i 0.289282 0.809346i
\(51\) 11.2808 + 0.479837i 1.57963 + 0.0671906i
\(52\) −8.63023 + 3.58155i −1.19680 + 0.496672i
\(53\) −0.544156 1.01805i −0.0747456 0.139839i 0.841772 0.539833i \(-0.181512\pi\)
−0.916518 + 0.399993i \(0.869012\pi\)
\(54\) 6.40995 3.59339i 0.872284 0.488999i
\(55\) −2.15551 + 1.44027i −0.290649 + 0.194205i
\(56\) −2.67536 1.98001i −0.357510 0.264590i
\(57\) −6.10911 3.60726i −0.809172 0.477793i
\(58\) 6.02368 + 10.0423i 0.790948 + 1.31861i
\(59\) −0.557902 5.66447i −0.0726326 0.737452i −0.960672 0.277685i \(-0.910433\pi\)
0.888040 0.459767i \(-0.152067\pi\)
\(60\) 2.34462 + 1.71268i 0.302689 + 0.221107i
\(61\) 2.81803 + 9.28979i 0.360812 + 1.18944i 0.930102 + 0.367300i \(0.119718\pi\)
−0.569291 + 0.822136i \(0.692782\pi\)
\(62\) 0.130174 0.0326533i 0.0165321 0.00414697i
\(63\) −3.50841 + 0.392211i −0.442018 + 0.0494140i
\(64\) 7.96304 + 0.768095i 0.995380 + 0.0960118i
\(65\) −3.91593 −0.485711
\(66\) 2.24928 + 7.23445i 0.276867 + 0.890499i
\(67\) 8.24903 2.50231i 1.00778 0.305706i 0.257108 0.966383i \(-0.417230\pi\)
0.750671 + 0.660676i \(0.229730\pi\)
\(68\) 12.9741 1.28664i 1.57334 0.156028i
\(69\) −3.23667 + 0.501894i −0.389649 + 0.0604209i
\(70\) −0.717515 1.19619i −0.0857594 0.142972i
\(71\) 4.69091 + 3.13437i 0.556709 + 0.371981i 0.801867 0.597502i \(-0.203840\pi\)
−0.245159 + 0.969483i \(0.578840\pi\)
\(72\) 6.74318 5.15069i 0.794691 0.607014i
\(73\) 0.764817 + 1.14463i 0.0895151 + 0.133969i 0.873525 0.486780i \(-0.161829\pi\)
−0.784009 + 0.620749i \(0.786829\pi\)
\(74\) −0.827266 + 0.296314i −0.0961678 + 0.0344458i
\(75\) −3.86859 6.35912i −0.446706 0.734288i
\(76\) −7.57067 3.12992i −0.868415 0.359026i
\(77\) 0.356742 3.62207i 0.0406546 0.412773i
\(78\) −3.24620 + 10.9738i −0.367560 + 1.24254i
\(79\) −5.43599 + 2.25166i −0.611597 + 0.253332i −0.666911 0.745137i \(-0.732384\pi\)
0.0553142 + 0.998469i \(0.482384\pi\)
\(80\) 2.95895 + 1.57649i 0.330821 + 0.176257i
\(81\) 1.52299 8.87020i 0.169222 0.985578i
\(82\) −6.77369 6.13518i −0.748029 0.677517i
\(83\) −5.05645 + 4.14972i −0.555018 + 0.455491i −0.869613 0.493735i \(-0.835631\pi\)
0.314595 + 0.949226i \(0.398131\pi\)
\(84\) −3.94695 + 1.01912i −0.430647 + 0.111195i
\(85\) 5.22871 + 1.58611i 0.567134 + 0.172038i
\(86\) −9.92524 10.9434i −1.07027 1.18006i
\(87\) 14.2005 + 2.01107i 1.52245 + 0.215610i
\(88\) 3.74824 + 7.90438i 0.399564 + 0.842610i
\(89\) 5.57606 1.10915i 0.591061 0.117569i 0.109507 0.993986i \(-0.465073\pi\)
0.481553 + 0.876417i \(0.340073\pi\)
\(90\) 3.43755 0.910516i 0.362350 0.0959769i
\(91\) 3.48772 4.24980i 0.365613 0.445501i
\(92\) −3.61846 + 1.10030i −0.377251 + 0.114714i
\(93\) 0.0692979 0.149047i 0.00718586 0.0154554i
\(94\) −10.0626 13.5583i −1.03788 1.39843i
\(95\) −2.42767 2.42767i −0.249074 0.249074i
\(96\) 6.87077 6.98517i 0.701245 0.712921i
\(97\) −6.43546 + 6.43546i −0.653422 + 0.653422i −0.953815 0.300394i \(-0.902882\pi\)
0.300394 + 0.953815i \(0.402882\pi\)
\(98\) −7.85560 1.16257i −0.793536 0.117438i
\(99\) 8.61839 + 3.43774i 0.866181 + 0.345506i
\(100\) −5.45702 6.64029i −0.545702 0.664029i
\(101\) 5.85273 + 4.80321i 0.582368 + 0.477937i 0.878848 0.477102i \(-0.158313\pi\)
−0.296480 + 0.955039i \(0.595813\pi\)
\(102\) 8.77931 13.3379i 0.869281 1.32065i
\(103\) 3.06879 + 15.4279i 0.302377 + 1.52015i 0.771046 + 0.636779i \(0.219734\pi\)
−0.468669 + 0.883374i \(0.655266\pi\)
\(104\) −1.92577 + 13.0732i −0.188837 + 1.28193i
\(105\) −1.69150 0.239550i −0.165073 0.0233777i
\(106\) −1.63056 0.0795552i −0.158374 0.00772709i
\(107\) 0.260727 0.859503i 0.0252055 0.0830913i −0.943435 0.331557i \(-0.892426\pi\)
0.968641 + 0.248465i \(0.0799262\pi\)
\(108\) 0.298047 10.3880i 0.0286796 0.999589i
\(109\) −5.98137 7.28832i −0.572912 0.698095i 0.403262 0.915084i \(-0.367876\pi\)
−0.976174 + 0.216990i \(0.930376\pi\)
\(110\) 0.181123 + 3.66174i 0.0172694 + 0.349134i
\(111\) −0.355896 + 1.01568i −0.0337802 + 0.0964036i
\(112\) −4.34629 + 1.80714i −0.410686 + 0.170758i
\(113\) 3.84909 + 9.29253i 0.362092 + 0.874167i 0.994994 + 0.0999354i \(0.0318636\pi\)
−0.632902 + 0.774232i \(0.718136\pi\)
\(114\) −8.81567 + 4.79072i −0.825663 + 0.448692i
\(115\) −1.57739 0.155359i −0.147092 0.0144873i
\(116\) 16.5609 0.0111224i 1.53764 0.00103269i
\(117\) 7.93941 + 11.5503i 0.733999 + 1.06783i
\(118\) −7.27785 3.43918i −0.669980 0.316602i
\(119\) −6.37830 + 4.26185i −0.584698 + 0.390683i
\(120\) 3.78163 1.60011i 0.345214 0.146070i
\(121\) 0.796647 1.19227i 0.0724224 0.108388i
\(122\) 13.3186 + 3.33138i 1.20581 + 0.301609i
\(123\) −11.0609 + 1.71515i −0.997327 + 0.154650i
\(124\) 0.0549731 0.181661i 0.00493673 0.0163137i
\(125\) −2.26217 7.45737i −0.202335 0.667008i
\(126\) −2.07351 + 4.54159i −0.184723 + 0.404597i
\(127\) 10.0755i 0.894053i 0.894521 + 0.447027i \(0.147517\pi\)
−0.894521 + 0.447027i \(0.852483\pi\)
\(128\) 6.71819 9.10307i 0.593810 0.804606i
\(129\) −18.0663 + 1.00670i −1.59065 + 0.0886346i
\(130\) −2.84548 + 4.75102i −0.249566 + 0.416692i
\(131\) 16.4402 4.98709i 1.43639 0.435724i 0.526359 0.850263i \(-0.323557\pi\)
0.910032 + 0.414538i \(0.136057\pi\)
\(132\) 10.4117 + 2.52792i 0.906218 + 0.220027i
\(133\) 4.79687 0.472450i 0.415941 0.0409666i
\(134\) 2.95816 11.8265i 0.255546 1.02165i
\(135\) 1.78409 3.97313i 0.153550 0.341952i
\(136\) 7.86654 16.6759i 0.674550 1.42994i
\(137\) −0.257431 0.385273i −0.0219938 0.0329161i 0.820310 0.571919i \(-0.193801\pi\)
−0.842304 + 0.539003i \(0.818801\pi\)
\(138\) −1.74298 + 4.29161i −0.148372 + 0.365326i
\(139\) −8.22848 + 4.39822i −0.697931 + 0.373052i −0.781889 0.623417i \(-0.785744\pi\)
0.0839582 + 0.996469i \(0.473244\pi\)
\(140\) −1.97266 + 0.00132485i −0.166720 + 0.000111971i
\(141\) −20.6604 0.878803i −1.73992 0.0740085i
\(142\) 7.21141 3.41371i 0.605168 0.286472i
\(143\) −13.3500 + 5.52974i −1.11638 + 0.462420i
\(144\) −1.34922 11.9239i −0.112435 0.993659i
\(145\) 6.41218 + 2.65601i 0.532503 + 0.220570i
\(146\) 1.94448 0.0961806i 0.160926 0.00795997i
\(147\) −7.16330 + 6.57877i −0.590819 + 0.542608i
\(148\) −0.241623 + 1.21900i −0.0198613 + 0.100201i
\(149\) −6.73706 2.04366i −0.551921 0.167424i 0.00199174 0.999998i \(-0.499366\pi\)
−0.553913 + 0.832575i \(0.686866\pi\)
\(150\) −10.5263 + 0.0727720i −0.859471 + 0.00594181i
\(151\) −0.323124 0.0642734i −0.0262955 0.00523049i 0.181925 0.983312i \(-0.441767\pi\)
−0.208221 + 0.978082i \(0.566767\pi\)
\(152\) −9.29857 + 6.91082i −0.754214 + 0.560542i
\(153\) −5.92268 18.6382i −0.478821 1.50681i
\(154\) −4.13527 3.06477i −0.333229 0.246966i
\(155\) 0.0504608 0.0614867i 0.00405311 0.00493873i
\(156\) 10.9552 + 11.9125i 0.877119 + 0.953765i
\(157\) 19.9269 + 10.6511i 1.59034 + 0.850054i 0.999049 + 0.0435948i \(0.0138811\pi\)
0.591290 + 0.806459i \(0.298619\pi\)
\(158\) −1.21819 + 8.23140i −0.0969139 + 0.654855i
\(159\) −1.33294 + 1.49025i −0.105709 + 0.118185i
\(160\) 4.06279 2.44442i 0.321191 0.193248i
\(161\) 1.57351 1.57351i 0.124010 0.124010i
\(162\) −9.65515 8.29326i −0.758580 0.651580i
\(163\) 9.84381 + 5.26162i 0.771026 + 0.412122i 0.809487 0.587138i \(-0.199745\pi\)
−0.0384605 + 0.999260i \(0.512245\pi\)
\(164\) −12.3656 + 3.76013i −0.965591 + 0.293617i
\(165\) 3.62407 + 2.65102i 0.282133 + 0.206382i
\(166\) 1.36044 + 9.15014i 0.105590 + 0.710188i
\(167\) 0.657098 + 3.30345i 0.0508477 + 0.255629i 0.997845 0.0656122i \(-0.0209000\pi\)
−0.946997 + 0.321241i \(0.895900\pi\)
\(168\) −1.63157 + 5.52919i −0.125878 + 0.426587i
\(169\) −8.65748 1.72208i −0.665960 0.132468i
\(170\) 5.72377 5.19123i 0.438993 0.398149i
\(171\) −2.23857 + 12.0826i −0.171188 + 0.923980i
\(172\) −20.4893 + 4.08988i −1.56229 + 0.311850i
\(173\) 11.4195 + 13.9147i 0.868209 + 1.05792i 0.997797 + 0.0663479i \(0.0211347\pi\)
−0.129587 + 0.991568i \(0.541365\pi\)
\(174\) 12.7586 15.7675i 0.967228 1.19533i
\(175\) 4.67210 + 1.93525i 0.353178 + 0.146291i
\(176\) 12.3137 + 1.19609i 0.928178 + 0.0901589i
\(177\) −8.88418 + 4.27363i −0.667776 + 0.321226i
\(178\) 2.70613 7.57113i 0.202833 0.567480i
\(179\) 8.91156 + 0.877712i 0.666082 + 0.0656033i 0.425406 0.905002i \(-0.360131\pi\)
0.240675 + 0.970606i \(0.422631\pi\)
\(180\) 1.39319 4.83225i 0.103842 0.360175i
\(181\) −6.68873 + 3.57520i −0.497170 + 0.265743i −0.700868 0.713291i \(-0.747204\pi\)
0.203698 + 0.979034i \(0.434704\pi\)
\(182\) −2.62177 7.31959i −0.194338 0.542564i
\(183\) 13.4393 10.1050i 0.993461 0.746980i
\(184\) −1.29438 + 5.18964i −0.0954232 + 0.382586i
\(185\) −0.289346 + 0.433037i −0.0212732 + 0.0318375i
\(186\) −0.130477 0.192380i −0.00956703 0.0141060i
\(187\) 20.0652 1.97625i 1.46731 0.144518i
\(188\) −23.7616 + 2.35643i −1.73299 + 0.171860i
\(189\) 2.72288 + 5.47487i 0.198060 + 0.398238i
\(190\) −4.70944 + 1.18133i −0.341659 + 0.0857030i
\(191\) 15.3299i 1.10923i −0.832107 0.554615i \(-0.812866\pi\)
0.832107 0.554615i \(-0.187134\pi\)
\(192\) −3.48220 13.4117i −0.251306 0.967908i
\(193\) 0.252898i 0.0182040i 0.999959 + 0.00910202i \(0.00289730\pi\)
−0.999959 + 0.00910202i \(0.997103\pi\)
\(194\) 3.13157 + 12.4841i 0.224834 + 0.896309i
\(195\) 2.32694 + 6.37094i 0.166636 + 0.456232i
\(196\) −7.11872 + 8.68608i −0.508480 + 0.620434i
\(197\) −18.5095 + 1.82302i −1.31874 + 0.129885i −0.732788 0.680457i \(-0.761781\pi\)
−0.585957 + 0.810342i \(0.699281\pi\)
\(198\) 10.4334 7.95829i 0.741466 0.565571i
\(199\) −7.90354 + 11.8285i −0.560267 + 0.838499i −0.998167 0.0605250i \(-0.980723\pi\)
0.437900 + 0.899024i \(0.355723\pi\)
\(200\) −12.0217 + 1.79563i −0.850061 + 0.126970i
\(201\) −8.97286 11.9336i −0.632897 0.841734i
\(202\) 10.0804 3.61063i 0.709252 0.254043i
\(203\) −8.59349 + 4.59331i −0.603144 + 0.322387i
\(204\) −9.80280 20.3434i −0.686334 1.42432i
\(205\) −5.39051 0.530918i −0.376489 0.0370810i
\(206\) 20.9479 + 7.48733i 1.45951 + 0.521667i
\(207\) 2.73985 + 4.96760i 0.190433 + 0.345272i
\(208\) 14.4618 + 11.8360i 1.00274 + 0.820678i
\(209\) −11.7044 4.84814i −0.809613 0.335353i
\(210\) −1.51975 + 1.87815i −0.104873 + 0.129605i
\(211\) −9.92942 12.0990i −0.683570 0.832932i 0.309446 0.950917i \(-0.399856\pi\)
−0.993015 + 0.117985i \(0.962356\pi\)
\(212\) −1.28135 + 1.92047i −0.0880038 + 0.131899i
\(213\) 2.31194 9.49429i 0.158411 0.650538i
\(214\) −0.853341 0.940881i −0.0583332 0.0643173i
\(215\) −8.58799 1.70826i −0.585696 0.116502i
\(216\) −12.3868 7.91000i −0.842812 0.538208i
\(217\) 0.0217862 + 0.109526i 0.00147894 + 0.00743514i
\(218\) −13.1889 + 1.96092i −0.893267 + 0.132810i
\(219\) 1.40776 1.92447i 0.0951275 0.130044i
\(220\) 4.57424 + 2.44104i 0.308395 + 0.164575i
\(221\) 26.8597 + 14.3568i 1.80678 + 0.965743i
\(222\) 0.973664 + 1.16983i 0.0653480 + 0.0785136i
\(223\) −12.5453 + 12.5453i −0.840097 + 0.840097i −0.988871 0.148774i \(-0.952467\pi\)
0.148774 + 0.988871i \(0.452467\pi\)
\(224\) −0.965687 + 6.58631i −0.0645227 + 0.440066i
\(225\) −8.04703 + 10.0727i −0.536468 + 0.671511i
\(226\) 14.0711 + 2.08243i 0.935997 + 0.138521i
\(227\) −19.3676 10.3522i −1.28547 0.687100i −0.319954 0.947433i \(-0.603668\pi\)
−0.965519 + 0.260333i \(0.916168\pi\)
\(228\) −0.593481 + 14.1768i −0.0393042 + 0.938882i
\(229\) −3.62432 + 4.41625i −0.239502 + 0.291834i −0.878865 0.477071i \(-0.841698\pi\)
0.639363 + 0.768905i \(0.279198\pi\)
\(230\) −1.33469 + 1.80088i −0.0880067 + 0.118747i
\(231\) −6.10483 + 1.57192i −0.401668 + 0.103425i
\(232\) 12.0204 20.1007i 0.789176 1.31967i
\(233\) 25.7782 + 5.12760i 1.68879 + 0.335921i 0.943638 0.330978i \(-0.107379\pi\)
0.745148 + 0.666899i \(0.232379\pi\)
\(234\) 19.7826 1.23957i 1.29323 0.0810335i
\(235\) −9.57619 2.90490i −0.624681 0.189495i
\(236\) −9.46100 + 6.33084i −0.615859 + 0.412102i
\(237\) 6.89349 + 7.50598i 0.447780 + 0.487566i
\(238\) 0.535954 + 10.8354i 0.0347408 + 0.702352i
\(239\) −0.451516 0.187024i −0.0292061 0.0120976i 0.368033 0.929813i \(-0.380031\pi\)
−0.397239 + 0.917715i \(0.630031\pi\)
\(240\) 0.806551 5.75079i 0.0520626 0.371212i
\(241\) 15.4775 6.41099i 0.996994 0.412968i 0.176300 0.984336i \(-0.443587\pi\)
0.820694 + 0.571368i \(0.193587\pi\)
\(242\) −0.867645 1.83289i −0.0557743 0.117823i
\(243\) −15.3362 + 2.79308i −0.983817 + 0.179176i
\(244\) 13.7197 13.7381i 0.878313 0.879494i
\(245\) −4.15084 + 2.21867i −0.265187 + 0.141746i
\(246\) −5.95640 + 14.6660i −0.379766 + 0.935069i
\(247\) −10.6318 15.9116i −0.676483 1.01243i
\(248\) −0.180456 0.198699i −0.0114589 0.0126174i
\(249\) 9.75597 + 5.76062i 0.618259 + 0.365065i
\(250\) −10.6915 2.67426i −0.676189 0.169135i
\(251\) −27.0210 + 2.66134i −1.70555 + 0.167982i −0.903302 0.429005i \(-0.858864\pi\)
−0.802251 + 0.596987i \(0.796364\pi\)
\(252\) 4.00341 + 5.81582i 0.252191 + 0.366362i
\(253\) −5.59692 + 1.69781i −0.351875 + 0.106740i
\(254\) 12.2241 + 7.32127i 0.767009 + 0.459378i
\(255\) −0.526535 9.44925i −0.0329729 0.591735i
\(256\) −6.16262 14.7656i −0.385164 0.922848i
\(257\) 21.7391i 1.35605i 0.735040 + 0.678023i \(0.237163\pi\)
−0.735040 + 0.678023i \(0.762837\pi\)
\(258\) −11.9064 + 22.6505i −0.741258 + 1.41016i
\(259\) −0.212252 0.699701i −0.0131887 0.0434773i
\(260\) 3.69655 + 6.90460i 0.229250 + 0.428205i
\(261\) −5.16638 24.2982i −0.319791 1.50402i
\(262\) 5.89558 23.5700i 0.364230 1.45616i
\(263\) −5.57579 + 8.34475i −0.343818 + 0.514560i −0.962572 0.271025i \(-0.912638\pi\)
0.618755 + 0.785584i \(0.287638\pi\)
\(264\) 10.6326 10.7951i 0.654390 0.664393i
\(265\) −0.804490 + 0.537543i −0.0494194 + 0.0330210i
\(266\) 2.91241 6.16313i 0.178571 0.377886i
\(267\) −5.11793 8.41276i −0.313212 0.514853i
\(268\) −12.1990 12.1826i −0.745173 0.744172i
\(269\) 29.6468 + 2.91995i 1.80760 + 0.178033i 0.944828 0.327567i \(-0.106229\pi\)
0.862768 + 0.505599i \(0.168729\pi\)
\(270\) −3.52402 5.05160i −0.214465 0.307431i
\(271\) −3.33863 8.06017i −0.202807 0.489620i 0.789451 0.613814i \(-0.210366\pi\)
−0.992258 + 0.124194i \(0.960366\pi\)
\(272\) −14.5159 21.6615i −0.880155 1.31342i
\(273\) −8.98662 3.14894i −0.543895 0.190583i
\(274\) −0.654496 + 0.0323736i −0.0395395 + 0.00195576i
\(275\) −8.43212 10.2746i −0.508476 0.619580i
\(276\) 3.94029 + 5.23315i 0.237178 + 0.314999i
\(277\) −3.03469 + 10.0040i −0.182337 + 0.601085i 0.817352 + 0.576139i \(0.195441\pi\)
−0.999689 + 0.0249458i \(0.992059\pi\)
\(278\) −0.643016 + 13.1792i −0.0385655 + 0.790435i
\(279\) −0.283667 0.0241756i −0.0169827 0.00144736i
\(280\) −1.43181 + 2.39430i −0.0855673 + 0.143087i
\(281\) −1.85699 9.33574i −0.110779 0.556924i −0.995814 0.0913997i \(-0.970866\pi\)
0.885035 0.465524i \(-0.154134\pi\)
\(282\) −16.0790 + 24.4278i −0.957489 + 1.45465i
\(283\) 4.87082 + 3.99738i 0.289540 + 0.237619i 0.767939 0.640523i \(-0.221283\pi\)
−0.478398 + 0.878143i \(0.658783\pi\)
\(284\) 1.09843 11.2298i 0.0651796 0.666368i
\(285\) −2.50707 + 5.39223i −0.148506 + 0.319408i
\(286\) −2.99168 + 20.2151i −0.176902 + 1.19534i
\(287\) 5.37724 5.37724i 0.317409 0.317409i
\(288\) −15.4471 7.02749i −0.910232 0.414099i
\(289\) −18.0283 18.0283i −1.06049 1.06049i
\(290\) 7.88180 5.84964i 0.462835 0.343503i
\(291\) 14.2941 + 6.64593i 0.837937 + 0.389591i
\(292\) 1.29625 2.42904i 0.0758574 0.142149i
\(293\) −1.57218 + 1.91570i −0.0918475 + 0.111916i −0.816906 0.576771i \(-0.804313\pi\)
0.725059 + 0.688687i \(0.241813\pi\)
\(294\) 2.77657 + 13.4713i 0.161933 + 0.785664i
\(295\) −4.67915 + 0.930740i −0.272430 + 0.0541898i
\(296\) 1.30338 + 1.17893i 0.0757577 + 0.0685239i
\(297\) 0.471705 16.0643i 0.0273711 0.932145i
\(298\) −7.37493 + 6.68876i −0.427218 + 0.387469i
\(299\) −8.45435 2.56460i −0.488928 0.148315i
\(300\) −7.56059 + 12.8240i −0.436511 + 0.740394i
\(301\) 9.50281 7.79875i 0.547733 0.449513i
\(302\) −0.312776 + 0.345328i −0.0179982 + 0.0198714i
\(303\) 4.33665 12.3762i 0.249134 0.710991i
\(304\) 1.62784 + 16.3032i 0.0933632 + 0.935055i
\(305\) 7.51750 3.11385i 0.430451 0.178299i
\(306\) −26.9166 6.35764i −1.53872 0.363442i
\(307\) 1.64530 16.7050i 0.0939019 0.953402i −0.826633 0.562742i \(-0.809747\pi\)
0.920535 0.390661i \(-0.127753\pi\)
\(308\) −6.72321 + 2.79014i −0.383091 + 0.158983i
\(309\) 23.2765 14.1603i 1.32415 0.805552i
\(310\) −0.0379320 0.105901i −0.00215440 0.00601476i
\(311\) 18.8319 + 28.1839i 1.06786 + 1.59816i 0.763734 + 0.645531i \(0.223364\pi\)
0.304124 + 0.952632i \(0.401636\pi\)
\(312\) 22.4135 4.63532i 1.26891 0.262423i
\(313\) 8.44968 + 5.64590i 0.477604 + 0.319125i 0.770966 0.636877i \(-0.219774\pi\)
−0.293362 + 0.956002i \(0.594774\pi\)
\(314\) 27.4023 16.4368i 1.54640 0.927584i
\(315\) 0.615397 + 2.89429i 0.0346737 + 0.163075i
\(316\) 9.10161 + 7.45927i 0.512005 + 0.419617i
\(317\) 3.46827 1.05209i 0.194797 0.0590911i −0.191378 0.981516i \(-0.561296\pi\)
0.386176 + 0.922425i \(0.373796\pi\)
\(318\) 0.839485 + 2.70007i 0.0470760 + 0.151413i
\(319\) 25.6107 1.43392
\(320\) −0.0135103 6.70542i −0.000755246 0.374844i
\(321\) −1.55328 + 0.0865525i −0.0866957 + 0.00483089i
\(322\) −0.765686 3.05244i −0.0426700 0.170106i
\(323\) 7.75114 + 25.5521i 0.431285 + 1.42176i
\(324\) −17.0777 + 5.68792i −0.948761 + 0.315995i
\(325\) −1.96794 19.9808i −0.109162 1.10834i
\(326\) 13.5366 8.11973i 0.749725 0.449710i
\(327\) −8.30331 + 14.0622i −0.459174 + 0.777639i
\(328\) −4.42338 + 17.7349i −0.244240 + 0.979247i
\(329\) 11.6816 7.80541i 0.644028 0.430326i
\(330\) 5.84977 2.47057i 0.322019 0.136000i
\(331\) −1.31455 2.45935i −0.0722541 0.135178i 0.843200 0.537599i \(-0.180669\pi\)
−0.915455 + 0.402421i \(0.868169\pi\)
\(332\) 12.0900 + 4.99833i 0.663525 + 0.274319i
\(333\) 1.86391 0.0245209i 0.102142 0.00134374i
\(334\) 4.48541 + 1.60321i 0.245431 + 0.0877235i
\(335\) −2.76499 6.67529i −0.151068 0.364710i
\(336\) 5.52275 + 5.99726i 0.301291 + 0.327178i
\(337\) 8.16730 19.7176i 0.444901 1.07409i −0.529306 0.848431i \(-0.677548\pi\)
0.974207 0.225655i \(-0.0724523\pi\)
\(338\) −8.38022 + 9.25239i −0.455824 + 0.503264i
\(339\) 12.8311 11.7840i 0.696887 0.640021i
\(340\) −2.13914 10.7166i −0.116011 0.581188i
\(341\) 0.0852021 0.280874i 0.00461395 0.0152102i
\(342\) 13.0327 + 11.4957i 0.704725 + 0.621617i
\(343\) 2.89612 14.5598i 0.156376 0.786155i
\(344\) −9.92634 + 27.8306i −0.535192 + 1.50053i
\(345\) 0.684563 + 2.65861i 0.0368556 + 0.143135i
\(346\) 25.1800 3.74374i 1.35369 0.201265i
\(347\) 17.3860 + 14.2683i 0.933328 + 0.765963i 0.972411 0.233273i \(-0.0749437\pi\)
−0.0390831 + 0.999236i \(0.512444\pi\)
\(348\) −9.85898 26.9368i −0.528497 1.44396i
\(349\) −15.2540 + 28.5382i −0.816526 + 1.52761i 0.0326275 + 0.999468i \(0.489613\pi\)
−0.849154 + 0.528146i \(0.822887\pi\)
\(350\) 5.74291 4.26222i 0.306971 0.227825i
\(351\) 14.0737 19.7803i 0.751201 1.05580i
\(352\) 10.3988 14.0705i 0.554259 0.749960i
\(353\) −24.4936 24.4936i −1.30366 1.30366i −0.925904 0.377758i \(-0.876695\pi\)
−0.377758 0.925904i \(-0.623305\pi\)
\(354\) −1.27062 + 13.8842i −0.0675328 + 0.737936i
\(355\) 2.22912 4.17040i 0.118310 0.221342i
\(356\) −7.21933 8.78474i −0.382624 0.465590i
\(357\) 10.7239 + 7.84455i 0.567567 + 0.415178i
\(358\) 7.54042 10.1742i 0.398524 0.537724i
\(359\) −32.4355 + 6.45181i −1.71188 + 0.340514i −0.951190 0.308604i \(-0.900138\pi\)
−0.760688 + 0.649118i \(0.775138\pi\)
\(360\) −4.85040 5.20161i −0.255639 0.274149i
\(361\) −0.433519 + 2.17945i −0.0228168 + 0.114708i
\(362\) −0.522692 + 10.7130i −0.0274721 + 0.563065i
\(363\) −2.41312 0.587614i −0.126656 0.0308417i
\(364\) −10.7856 2.13787i −0.565321 0.112055i
\(365\) 0.891951 0.732005i 0.0466868 0.0383149i
\(366\) −2.49431 23.6480i −0.130380 1.23610i
\(367\) −7.04470 + 17.0074i −0.367730 + 0.887780i 0.626391 + 0.779509i \(0.284531\pi\)
−0.994121 + 0.108271i \(0.965469\pi\)
\(368\) 5.35581 + 5.34144i 0.279191 + 0.278442i
\(369\) 9.36308 + 16.9761i 0.487423 + 0.883740i
\(370\) 0.315133 + 0.665715i 0.0163830 + 0.0346089i
\(371\) 0.133145 1.35184i 0.00691254 0.0701842i
\(372\) −0.328216 + 0.0185101i −0.0170172 + 0.000959705i
\(373\) −1.11551 2.08698i −0.0577590 0.108060i 0.851385 0.524541i \(-0.175763\pi\)
−0.909144 + 0.416482i \(0.863263\pi\)
\(374\) 12.1826 25.7803i 0.629945 1.33307i
\(375\) −10.7884 + 8.11174i −0.557110 + 0.418888i
\(376\) −14.4073 + 30.5412i −0.742998 + 1.57504i
\(377\) 32.1661 + 21.4927i 1.65664 + 1.10693i
\(378\) 8.62098 + 0.674729i 0.443415 + 0.0347043i
\(379\) −2.48115 25.1915i −0.127448 1.29400i −0.819887 0.572526i \(-0.805964\pi\)
0.692439 0.721477i \(-0.256536\pi\)
\(380\) −1.98882 + 6.57216i −0.102025 + 0.337145i
\(381\) 16.3921 5.98708i 0.839791 0.306728i
\(382\) −18.5990 11.1393i −0.951609 0.569938i
\(383\) 9.32475 0.476472 0.238236 0.971207i \(-0.423431\pi\)
0.238236 + 0.971207i \(0.423431\pi\)
\(384\) −18.8022 5.52075i −0.959494 0.281730i
\(385\) −3.05063 −0.155474
\(386\) 0.306830 + 0.183767i 0.0156173 + 0.00935350i
\(387\) 12.3732 + 28.7943i 0.628967 + 1.46370i
\(388\) 17.4220 + 5.27213i 0.884467 + 0.267652i
\(389\) −3.74260 37.9993i −0.189758 1.92664i −0.344693 0.938716i \(-0.612017\pi\)
0.154935 0.987925i \(-0.450483\pi\)
\(390\) 9.42043 + 1.80623i 0.477022 + 0.0914620i
\(391\) 10.2498 + 6.84872i 0.518357 + 0.346355i
\(392\) 5.36566 + 14.9485i 0.271007 + 0.755014i
\(393\) −17.8828 23.7836i −0.902069 1.19973i
\(394\) −11.2380 + 23.7814i −0.566162 + 1.19809i
\(395\) 2.32481 + 4.34941i 0.116974 + 0.218842i
\(396\) −2.07411 18.4412i −0.104228 0.926704i
\(397\) 1.16602 11.8388i 0.0585207 0.594171i −0.920546 0.390633i \(-0.872256\pi\)
0.979067 0.203538i \(-0.0652440\pi\)
\(398\) 8.60791 + 18.1841i 0.431476 + 0.911487i
\(399\) −3.61906 7.52342i −0.181179 0.376642i
\(400\) −6.55692 + 15.8901i −0.327846 + 0.794507i
\(401\) 10.4729 25.2839i 0.522992 1.26262i −0.413044 0.910711i \(-0.635534\pi\)
0.936036 0.351904i \(-0.114466\pi\)
\(402\) −20.9986 + 2.21486i −1.04732 + 0.110467i
\(403\) 0.342722 0.281265i 0.0170722 0.0140108i
\(404\) 2.94422 14.8537i 0.146480 0.738999i
\(405\) −7.52414 0.541656i −0.373878 0.0269151i
\(406\) −0.671539 + 13.7638i −0.0333279 + 0.683086i
\(407\) −0.374925 + 1.88488i −0.0185844 + 0.0934298i
\(408\) −31.8049 2.88911i −1.57458 0.143032i
\(409\) 15.4544 3.07407i 0.764170 0.152003i 0.202408 0.979301i \(-0.435123\pi\)
0.561763 + 0.827298i \(0.310123\pi\)
\(410\) −4.56112 + 6.15427i −0.225257 + 0.303938i
\(411\) −0.473840 + 0.647761i −0.0233728 + 0.0319517i
\(412\) 24.3057 19.9745i 1.19745 0.984072i
\(413\) 3.15739 5.90706i 0.155365 0.290667i
\(414\) 8.01786 + 0.285530i 0.394056 + 0.0140330i
\(415\) 3.87688 + 3.87688i 0.190309 + 0.190309i
\(416\) 24.8686 8.94527i 1.21929 0.438578i
\(417\) 12.0452 + 10.7736i 0.589854 + 0.527587i
\(418\) −14.3870 + 10.6776i −0.703690 + 0.522259i
\(419\) 3.17793 5.94549i 0.155252 0.290456i −0.792256 0.610189i \(-0.791093\pi\)
0.947508 + 0.319733i \(0.103593\pi\)
\(420\) 1.17436 + 3.20859i 0.0573028 + 0.156563i
\(421\) −14.1011 11.5725i −0.687247 0.564009i 0.224645 0.974441i \(-0.427878\pi\)
−0.911891 + 0.410432i \(0.865378\pi\)
\(422\) −21.8944 + 3.25524i −1.06580 + 0.158462i
\(423\) 10.8472 + 34.1352i 0.527407 + 1.65971i
\(424\) 1.39894 + 2.95011i 0.0679384 + 0.143270i
\(425\) −5.46538 + 27.4763i −0.265110 + 1.33280i
\(426\) −9.83905 9.70394i −0.476703 0.470157i
\(427\) −3.31613 + 10.9318i −0.160479 + 0.529027i
\(428\) −1.76160 + 0.351635i −0.0851504 + 0.0169969i
\(429\) 16.9294 + 18.4335i 0.817357 + 0.889980i
\(430\) −8.31297 + 9.17814i −0.400887 + 0.442609i
\(431\) 13.8601 33.4612i 0.667616 1.61177i −0.117972 0.993017i \(-0.537639\pi\)
0.785588 0.618750i \(-0.212361\pi\)
\(432\) −18.5976 + 9.28055i −0.894778 + 0.446511i
\(433\) 14.2316 + 34.3582i 0.683928 + 1.65115i 0.756669 + 0.653798i \(0.226825\pi\)
−0.0727413 + 0.997351i \(0.523175\pi\)
\(434\) 0.148714 + 0.0531545i 0.00713851 + 0.00255150i
\(435\) 0.510871 12.0104i 0.0244944 0.575856i
\(436\) −7.20455 + 17.4264i −0.345036 + 0.834574i
\(437\) −3.65134 6.83118i −0.174667 0.326779i
\(438\) −1.31193 3.10637i −0.0626867 0.148428i
\(439\) 2.37717 1.58837i 0.113456 0.0758090i −0.497548 0.867437i \(-0.665766\pi\)
0.611004 + 0.791628i \(0.290766\pi\)
\(440\) 6.28545 3.77596i 0.299647 0.180012i
\(441\) 14.9598 + 7.74491i 0.712371 + 0.368805i
\(442\) 36.9359 22.1554i 1.75686 1.05382i
\(443\) −0.267863 2.71966i −0.0127266 0.129215i 0.986722 0.162418i \(-0.0519292\pi\)
−0.999449 + 0.0332029i \(0.989429\pi\)
\(444\) 2.12681 0.331256i 0.100934 0.0157207i
\(445\) −1.38329 4.56010i −0.0655744 0.216170i
\(446\) 6.10470 + 24.3367i 0.289066 + 1.15237i
\(447\) 0.678426 + 12.1751i 0.0320884 + 0.575863i
\(448\) 7.28916 + 5.95752i 0.344381 + 0.281467i
\(449\) 20.0944 0.948315 0.474158 0.880440i \(-0.342753\pi\)
0.474158 + 0.880440i \(0.342753\pi\)
\(450\) 6.37339 + 17.0823i 0.300444 + 0.805269i
\(451\) −19.1267 + 5.80203i −0.900642 + 0.273207i
\(452\) 12.7512 15.5587i 0.599766 0.731819i
\(453\) 0.0874399 + 0.563893i 0.00410829 + 0.0264940i
\(454\) −26.6332 + 15.9755i −1.24996 + 0.749767i
\(455\) −3.83148 2.56011i −0.179623 0.120020i
\(456\) 16.7688 + 11.0215i 0.785273 + 0.516131i
\(457\) 3.96665 + 5.93652i 0.185552 + 0.277698i 0.912570 0.408920i \(-0.134094\pi\)
−0.727018 + 0.686618i \(0.759094\pi\)
\(458\) 2.72445 + 7.60627i 0.127305 + 0.355418i
\(459\) −26.8037 + 20.7111i −1.25109 + 0.966710i
\(460\) 1.21509 + 2.92792i 0.0566537 + 0.136515i
\(461\) 1.62306 16.4792i 0.0755936 0.767515i −0.880420 0.474194i \(-0.842740\pi\)
0.956014 0.293321i \(-0.0947604\pi\)
\(462\) −2.52889 + 8.54894i −0.117655 + 0.397733i
\(463\) −8.78575 + 3.63918i −0.408309 + 0.169127i −0.577378 0.816477i \(-0.695924\pi\)
0.169069 + 0.985604i \(0.445924\pi\)
\(464\) −15.6527 29.1898i −0.726660 1.35510i
\(465\) −0.130020 0.0455593i −0.00602951 0.00211276i
\(466\) 24.9527 27.5496i 1.15591 1.27621i
\(467\) 10.6220 8.71727i 0.491529 0.403387i −0.355713 0.934595i \(-0.615762\pi\)
0.847241 + 0.531208i \(0.178262\pi\)
\(468\) 12.8710 24.9021i 0.594961 1.15110i
\(469\) 9.70708 + 2.94461i 0.448231 + 0.135969i
\(470\) −10.4829 + 9.50753i −0.483539 + 0.438550i
\(471\) 5.48762 38.7488i 0.252856 1.78545i
\(472\) 0.806142 + 16.0789i 0.0371057 + 0.740090i
\(473\) −31.6900 + 6.30353i −1.45711 + 0.289836i
\(474\) 14.1158 2.90939i 0.648359 0.133633i
\(475\) 11.1670 13.6071i 0.512379 0.624336i
\(476\) 13.5355 + 7.22319i 0.620399 + 0.331075i
\(477\) 3.21659 + 1.28305i 0.147278 + 0.0587468i
\(478\) −0.554999 + 0.411904i −0.0253851 + 0.0188401i
\(479\) −6.77488 6.77488i −0.309552 0.309552i 0.535184 0.844736i \(-0.320242\pi\)
−0.844736 + 0.535184i \(0.820242\pi\)
\(480\) −6.39110 5.15733i −0.291713 0.235399i
\(481\) −2.05270 + 2.05270i −0.0935949 + 0.0935949i
\(482\) 3.46846 23.4367i 0.157984 1.06751i
\(483\) −3.49500 1.62497i −0.159028 0.0739385i
\(484\) −2.85423 0.279182i −0.129738 0.0126901i
\(485\) 5.89680 + 4.83938i 0.267760 + 0.219745i
\(486\) −7.75522 + 20.6363i −0.351784 + 0.936081i
\(487\) 1.33490 + 6.71097i 0.0604899 + 0.304103i 0.999172 0.0406801i \(-0.0129524\pi\)
−0.938682 + 0.344783i \(0.887952\pi\)
\(488\) −6.69854 26.6282i −0.303229 1.20540i
\(489\) 2.71086 19.1418i 0.122589 0.865620i
\(490\) −0.324368 + 6.64821i −0.0146534 + 0.300335i
\(491\) −4.39599 + 14.4916i −0.198388 + 0.653998i 0.800142 + 0.599810i \(0.204757\pi\)
−0.998531 + 0.0541884i \(0.982743\pi\)
\(492\) 13.4654 + 17.8836i 0.607068 + 0.806254i
\(493\) −34.2441 41.7265i −1.54228 1.87927i
\(494\) −27.0303 + 1.33701i −1.21615 + 0.0601550i
\(495\) 2.15952 7.47140i 0.0970630 0.335814i
\(496\) −0.372200 + 0.0745551i −0.0167123 + 0.00334762i
\(497\) 2.54060 + 6.13355i 0.113961 + 0.275127i
\(498\) 14.0782 7.65056i 0.630860 0.342830i
\(499\) 12.9209 + 1.27260i 0.578420 + 0.0569694i 0.382997 0.923750i \(-0.374892\pi\)
0.195423 + 0.980719i \(0.437392\pi\)
\(500\) −11.0135 + 11.0283i −0.492537 + 0.493199i
\(501\) 4.98402 3.03204i 0.222670 0.135462i
\(502\) −16.4058 + 34.7173i −0.732226 + 1.54951i
\(503\) −22.9797 + 15.3545i −1.02461 + 0.684624i −0.949891 0.312580i \(-0.898807\pi\)
−0.0747210 + 0.997204i \(0.523807\pi\)
\(504\) 9.96512 0.631132i 0.443882 0.0281129i
\(505\) 3.52573 5.27662i 0.156893 0.234807i
\(506\) −2.00709 + 8.02420i −0.0892262 + 0.356719i
\(507\) 2.34278 + 15.1084i 0.104047 + 0.670988i
\(508\) 17.7652 9.51102i 0.788201 0.421983i
\(509\) 1.24708 + 4.11108i 0.0552759 + 0.182220i 0.980231 0.197856i \(-0.0633978\pi\)
−0.924955 + 0.380076i \(0.875898\pi\)
\(510\) −11.8470 6.22742i −0.524592 0.275755i
\(511\) 1.61996i 0.0716628i
\(512\) −22.3924 3.25247i −0.989615 0.143740i
\(513\) 20.9878 3.53779i 0.926632 0.156197i
\(514\) 26.3751 + 15.7966i 1.16335 + 0.696757i
\(515\) 12.6169 3.82730i 0.555968 0.168651i
\(516\) 18.8292 + 30.9043i 0.828908 + 1.36049i
\(517\) −36.7487 + 3.61943i −1.61620 + 0.159182i
\(518\) −1.00315 0.250917i −0.0440758 0.0110247i
\(519\) 15.8525 26.8472i 0.695847 1.17846i
\(520\) 11.0631 + 0.532325i 0.485150 + 0.0233440i
\(521\) 5.71768 + 8.55711i 0.250496 + 0.374894i 0.935313 0.353821i \(-0.115118\pi\)
−0.684817 + 0.728715i \(0.740118\pi\)
\(522\) −33.2340 11.3880i −1.45461 0.498438i
\(523\) −13.3429 + 7.13195i −0.583446 + 0.311858i −0.736583 0.676347i \(-0.763562\pi\)
0.153138 + 0.988205i \(0.451062\pi\)
\(524\) −24.3125 24.2799i −1.06210 1.06067i
\(525\) 0.372235 8.75115i 0.0162457 0.381932i
\(526\) 6.07271 + 12.8285i 0.264783 + 0.559350i
\(527\) −0.571541 + 0.236740i −0.0248967 + 0.0103126i
\(528\) −5.37112 20.7442i −0.233748 0.902776i
\(529\) 17.9455 + 7.43325i 0.780237 + 0.323185i
\(530\) 0.0675994 + 1.36665i 0.00293633 + 0.0593636i
\(531\) 12.2321 + 11.9144i 0.530827 + 0.517042i
\(532\) −5.36116 8.01190i −0.232436 0.347360i
\(533\) −28.8916 8.76417i −1.25143 0.379618i
\(534\) −13.9257 + 0.0962734i −0.602626 + 0.00416616i
\(535\) −0.738369 0.146871i −0.0319225 0.00634977i
\(536\) −23.6450 + 5.94808i −1.02131 + 0.256918i
\(537\) −3.86749 15.0200i −0.166895 0.648163i
\(538\) 25.0853 33.8474i 1.08150 1.45926i
\(539\) −11.0178 + 13.4252i −0.474570 + 0.578265i
\(540\) −8.68959 + 0.604824i −0.373940 + 0.0260275i
\(541\) −35.0239 18.7206i −1.50579 0.804864i −0.507411 0.861704i \(-0.669397\pi\)
−0.998383 + 0.0568408i \(0.981897\pi\)
\(542\) −12.2050 1.80626i −0.524251 0.0775854i
\(543\) 9.79120 + 8.75762i 0.420181 + 0.375825i
\(544\) −36.8289 + 1.87128i −1.57902 + 0.0802303i
\(545\) −5.58810 + 5.58810i −0.239368 + 0.239368i
\(546\) −10.3505 + 8.61491i −0.442962 + 0.368684i
\(547\) −16.6047 8.87542i −0.709967 0.379485i 0.0765398 0.997067i \(-0.475613\pi\)
−0.786507 + 0.617581i \(0.788113\pi\)
\(548\) −0.436308 + 0.817595i −0.0186381 + 0.0349259i
\(549\) −24.4260 15.8602i −1.04248 0.676896i
\(550\) −18.5928 + 2.76437i −0.792801 + 0.117873i
\(551\) 6.61695 + 33.2656i 0.281892 + 1.41716i
\(552\) 9.21234 0.977942i 0.392103 0.0416240i
\(553\) −6.79083 1.35078i −0.288776 0.0574410i
\(554\) 9.93232 + 10.9512i 0.421984 + 0.465273i
\(555\) 0.876457 + 0.213425i 0.0372035 + 0.00905937i
\(556\) 15.5225 + 10.3567i 0.658300 + 0.439223i
\(557\) 7.12333 + 8.67980i 0.301825 + 0.367775i 0.901732 0.432294i \(-0.142296\pi\)
−0.599907 + 0.800069i \(0.704796\pi\)
\(558\) −0.235456 + 0.326593i −0.00996765 + 0.0138258i
\(559\) −45.0914 18.6775i −1.90716 0.789974i
\(560\) 1.86448 + 3.47696i 0.0787888 + 0.146928i
\(561\) −15.1384 31.4703i −0.639146 1.32868i
\(562\) −12.6760 4.53075i −0.534705 0.191118i
\(563\) −9.96192 0.981164i −0.419845 0.0413511i −0.114111 0.993468i \(-0.536402\pi\)
−0.305734 + 0.952117i \(0.598902\pi\)
\(564\) 17.9535 + 37.2582i 0.755977 + 1.56885i
\(565\) 7.43507 3.97413i 0.312796 0.167193i
\(566\) 8.38919 3.00488i 0.352624 0.126304i
\(567\) 7.28922 7.68323i 0.306118 0.322665i
\(568\) −12.8265 9.49276i −0.538187 0.398307i
\(569\) 6.59922 9.87644i 0.276654 0.414042i −0.666958 0.745095i \(-0.732404\pi\)
0.943612 + 0.331053i \(0.107404\pi\)
\(570\) 4.72041 + 6.95995i 0.197716 + 0.291520i
\(571\) 5.54902 0.546531i 0.232219 0.0228716i 0.0187620 0.999824i \(-0.494028\pi\)
0.213457 + 0.976952i \(0.431528\pi\)
\(572\) 22.3522 + 18.3188i 0.934590 + 0.765949i
\(573\) −24.9406 + 9.10937i −1.04191 + 0.380549i
\(574\) −2.61663 10.4313i −0.109216 0.435394i
\(575\) 8.12660i 0.338903i
\(576\) −19.7507 + 13.6349i −0.822946 + 0.568119i
\(577\) 39.8029i 1.65702i 0.559977 + 0.828508i \(0.310810\pi\)
−0.559977 + 0.828508i \(0.689190\pi\)
\(578\) −34.9730 + 8.77277i −1.45469 + 0.364899i
\(579\) 0.411448 0.150278i 0.0170992 0.00624536i
\(580\) −1.36985 13.8132i −0.0568801 0.573564i
\(581\) −7.66037 + 0.754481i −0.317806 + 0.0313011i
\(582\) 18.4500 12.5132i 0.764775 0.518690i
\(583\) −1.98355 + 2.96859i −0.0821502 + 0.122946i
\(584\) −2.00513 3.33773i −0.0829729 0.138116i
\(585\) 8.98234 7.57153i 0.371374 0.313044i
\(586\) 1.18182 + 3.29948i 0.0488207 + 0.136300i
\(587\) 23.3349 12.4728i 0.963136 0.514807i 0.0866524 0.996239i \(-0.472383\pi\)
0.876484 + 0.481432i \(0.159883\pi\)
\(588\) 18.3617 + 6.42018i 0.757226 + 0.264764i
\(589\) 0.386840 + 0.0381004i 0.0159395 + 0.00156990i
\(590\) −2.27085 + 6.35332i −0.0934893 + 0.261562i
\(591\) 13.9647 + 29.0303i 0.574431 + 1.19415i
\(592\) 2.37744 0.724677i 0.0977122 0.0297840i
\(593\) −34.3271 14.2187i −1.40964 0.583893i −0.457408 0.889257i \(-0.651222\pi\)
−0.952236 + 0.305364i \(0.901222\pi\)
\(594\) −19.1473 12.2453i −0.785624 0.502431i
\(595\) 4.07900 + 4.97028i 0.167223 + 0.203762i
\(596\) 2.75623 + 13.8080i 0.112899 + 0.565598i
\(597\) 23.9406 + 5.82973i 0.979822 + 0.238595i
\(598\) −9.25481 + 8.39374i −0.378457 + 0.343245i
\(599\) −19.1059 3.80041i −0.780647 0.155280i −0.211348 0.977411i \(-0.567785\pi\)
−0.569299 + 0.822130i \(0.692785\pi\)
\(600\) 10.0649 + 18.4914i 0.410899 + 0.754909i
\(601\) 3.11073 + 15.6387i 0.126889 + 0.637915i 0.990917 + 0.134472i \(0.0429337\pi\)
−0.864028 + 0.503443i \(0.832066\pi\)
\(602\) −2.55672 17.1963i −0.104204 0.700867i
\(603\) −14.0833 + 21.6895i −0.573516 + 0.883263i
\(604\) 0.191695 + 0.630408i 0.00779994 + 0.0256509i
\(605\) −1.05997 0.566566i −0.0430939 0.0230342i
\(606\) −11.8642 14.2545i −0.481952 0.579050i
\(607\) 6.15210 6.15210i 0.249706 0.249706i −0.571144 0.820850i \(-0.693500\pi\)
0.820850 + 0.571144i \(0.193500\pi\)
\(608\) 20.9629 + 9.87166i 0.850156 + 0.400349i
\(609\) 12.5795 + 11.2515i 0.509745 + 0.455935i
\(610\) 1.68465 11.3833i 0.0682094 0.460897i
\(611\) −49.1925 26.2939i −1.99011 1.06374i
\(612\) −27.2722 + 28.0370i −1.10241 + 1.13333i
\(613\) −9.72408 + 11.8488i −0.392752 + 0.478570i −0.931419 0.363949i \(-0.881428\pi\)
0.538667 + 0.842519i \(0.318928\pi\)
\(614\) −19.0718 14.1347i −0.769677 0.570431i
\(615\) 2.33940 + 9.08545i 0.0943338 + 0.366361i
\(616\) −1.50023 + 10.1844i −0.0604460 + 0.410342i
\(617\) −36.8966 7.33919i −1.48540 0.295465i −0.615283 0.788306i \(-0.710958\pi\)
−0.870119 + 0.492842i \(0.835958\pi\)
\(618\) −0.266370 38.5298i −0.0107150 1.54990i
\(619\) −25.0998 7.61395i −1.00885 0.306030i −0.257742 0.966214i \(-0.582979\pi\)
−0.751105 + 0.660183i \(0.770479\pi\)
\(620\) −0.156048 0.0309309i −0.00626703 0.00124222i
\(621\) 6.45384 7.40941i 0.258984 0.297329i
\(622\) 47.8784 2.36823i 1.91975 0.0949574i
\(623\) 6.18093 + 2.56023i 0.247634 + 0.102573i
\(624\) 10.6628 30.5615i 0.426853 1.22344i
\(625\) 13.8170 5.72319i 0.552680 0.228927i
\(626\) 12.9898 6.14907i 0.519178 0.245766i
\(627\) −0.932515 + 21.9232i −0.0372410 + 0.875527i
\(628\) −0.0303498 45.1897i −0.00121109 1.80327i
\(629\) 3.57228 1.90942i 0.142436 0.0761336i
\(630\) 3.95869 + 1.35648i 0.157718 + 0.0540436i
\(631\) 1.95455 + 2.92519i 0.0778094 + 0.116450i 0.868333 0.495981i \(-0.165192\pi\)
−0.790524 + 0.612431i \(0.790192\pi\)
\(632\) 15.6636 5.62234i 0.623066 0.223645i
\(633\) −13.7840 + 23.3440i −0.547864 + 0.927841i
\(634\) 1.24374 4.97239i 0.0493954 0.197479i
\(635\) 8.40438 0.827759i 0.333518 0.0328486i
\(636\) 3.88589 + 0.943481i 0.154085 + 0.0374115i
\(637\) −25.1045 + 7.61537i −0.994677 + 0.301732i
\(638\) 18.6098 31.0723i 0.736770 1.23016i
\(639\) −16.8204 + 1.88038i −0.665403 + 0.0743866i
\(640\) −8.14520 4.85606i −0.321967 0.191953i
\(641\) 2.30802i 0.0911611i −0.998961 0.0455806i \(-0.985486\pi\)
0.998961 0.0455806i \(-0.0145138\pi\)
\(642\) −1.02367 + 1.94742i −0.0404011 + 0.0768585i
\(643\) 3.37186 + 11.1155i 0.132973 + 0.438354i 0.997989 0.0633912i \(-0.0201916\pi\)
−0.865016 + 0.501745i \(0.832692\pi\)
\(644\) −4.25977 1.28906i −0.167859 0.0507963i
\(645\) 2.32398 + 14.9871i 0.0915066 + 0.590118i
\(646\) 36.6335 + 9.16314i 1.44133 + 0.360519i
\(647\) 24.0957 36.0618i 0.947300 1.41773i 0.0390825 0.999236i \(-0.487556\pi\)
0.908217 0.418499i \(-0.137444\pi\)
\(648\) −5.50850 + 24.8527i −0.216394 + 0.976306i
\(649\) −14.6376 + 9.78051i −0.574575 + 0.383919i
\(650\) −25.6718 12.1313i −1.00693 0.475829i
\(651\) 0.165246 0.100528i 0.00647649 0.00393999i
\(652\) −0.0149927 22.3235i −0.000587158 0.874257i
\(653\) −27.7016 2.72837i −1.08405 0.106769i −0.459821 0.888012i \(-0.652086\pi\)
−0.624228 + 0.781242i \(0.714586\pi\)
\(654\) 11.0275 + 20.2922i 0.431207 + 0.793488i
\(655\) −5.51061 13.3038i −0.215317 0.519822i
\(656\) 18.3028 + 18.2537i 0.714603 + 0.712685i
\(657\) −3.96750 1.14676i −0.154787 0.0447392i
\(658\) −0.981580 19.8445i −0.0382660 0.773621i
\(659\) −16.1806 19.7161i −0.630305 0.768029i 0.355726 0.934590i \(-0.384234\pi\)
−0.986031 + 0.166561i \(0.946734\pi\)
\(660\) 1.25327 8.89249i 0.0487833 0.346140i
\(661\) 12.8061 42.2161i 0.498100 1.64202i −0.242561 0.970136i \(-0.577987\pi\)
0.740661 0.671879i \(-0.234513\pi\)
\(662\) −3.93902 0.192186i −0.153094 0.00746952i
\(663\) 7.39682 52.2299i 0.287269 2.02844i
\(664\) 14.8494 11.0363i 0.576268 0.428290i
\(665\) −0.788182 3.96246i −0.0305644 0.153658i
\(666\) 1.32465 2.27922i 0.0513292 0.0883180i
\(667\) 12.1042 + 9.93367i 0.468677 + 0.384633i
\(668\) 5.20439 4.27699i 0.201364 0.165482i
\(669\) 27.8651 + 12.9556i 1.07733 + 0.500893i
\(670\) −10.1080 1.49591i −0.390506 0.0577921i
\(671\) 21.2311 21.2311i 0.819619 0.819619i
\(672\) 11.2893 2.34264i 0.435494 0.0903692i
\(673\) 22.6496 + 22.6496i 0.873078 + 0.873078i 0.992807 0.119728i \(-0.0382023\pi\)
−0.119728 + 0.992807i \(0.538202\pi\)
\(674\) −17.9878 24.2367i −0.692863 0.933563i
\(675\) 21.1692 + 7.10652i 0.814804 + 0.273530i
\(676\) 5.13608 + 16.8905i 0.197542 + 0.649636i
\(677\) −20.0773 + 24.4643i −0.771635 + 0.940240i −0.999440 0.0334666i \(-0.989345\pi\)
0.227805 + 0.973707i \(0.426845\pi\)
\(678\) −4.97344 24.1302i −0.191004 0.926713i
\(679\) −10.5040 + 2.08937i −0.403106 + 0.0801828i
\(680\) −14.5563 5.19180i −0.558210 0.199097i
\(681\) −5.33360 + 37.6612i −0.204384 + 1.44318i
\(682\) −0.278860 0.307467i −0.0106781 0.0117735i
\(683\) 31.9677 + 9.69728i 1.22321 + 0.371056i 0.834863 0.550458i \(-0.185547\pi\)
0.388345 + 0.921514i \(0.373047\pi\)
\(684\) 23.4173 7.45865i 0.895384 0.285189i
\(685\) −0.300223 + 0.246387i −0.0114709 + 0.00941396i
\(686\) −15.5603 14.0935i −0.594095 0.538093i
\(687\) 9.33859 + 3.27227i 0.356289 + 0.124845i
\(688\) 26.5527 + 32.2661i 1.01231 + 1.23013i
\(689\) −4.98254 + 2.06383i −0.189819 + 0.0786258i
\(690\) 3.72301 + 1.10131i 0.141733 + 0.0419263i
\(691\) −1.53903 + 15.6260i −0.0585474 + 0.594442i 0.920491 + 0.390764i \(0.127789\pi\)
−0.979038 + 0.203677i \(0.934711\pi\)
\(692\) 13.7548 33.2702i 0.522878 1.26474i
\(693\) 6.18504 + 8.99805i 0.234950 + 0.341807i
\(694\) 29.9445 10.7257i 1.13668 0.407140i
\(695\) 4.34476 + 6.50239i 0.164806 + 0.246650i
\(696\) −39.8452 7.61199i −1.51033 0.288532i
\(697\) 35.0274 + 23.4046i 1.32676 + 0.886512i
\(698\) 23.5399 + 39.2440i 0.890998 + 1.48541i
\(699\) −6.97578 44.9863i −0.263848 1.70154i
\(700\) −0.998115 10.0647i −0.0377252 0.380411i
\(701\) 31.0356 9.41454i 1.17220 0.355582i 0.356631 0.934245i \(-0.383925\pi\)
0.815567 + 0.578663i \(0.196425\pi\)
\(702\) −13.7720 31.4483i −0.519790 1.18694i
\(703\) −2.54513 −0.0959915
\(704\) −9.51487 22.8407i −0.358605 0.860840i
\(705\) 0.964328 + 17.3059i 0.0363187 + 0.651779i
\(706\) −47.5151 + 11.9189i −1.78825 + 0.448573i
\(707\) 2.58632 + 8.52596i 0.0972687 + 0.320652i
\(708\) 15.9218 + 11.6304i 0.598377 + 0.437099i
\(709\) 3.46638 + 35.1947i 0.130183 + 1.32177i 0.809152 + 0.587599i \(0.199927\pi\)
−0.678970 + 0.734166i \(0.737573\pi\)
\(710\) −3.43998 5.73489i −0.129100 0.215227i
\(711\) 8.11542 15.6755i 0.304352 0.587876i
\(712\) −15.9040 + 2.37551i −0.596028 + 0.0890262i
\(713\) 0.149212 0.0997001i 0.00558802 0.00373380i
\(714\) 17.3099 7.31059i 0.647806 0.273592i
\(715\) 5.70937 + 10.6815i 0.213518 + 0.399465i
\(716\) −6.86473 16.5415i −0.256547 0.618185i
\(717\) −0.0359731 + 0.845718i −0.00134344 + 0.0315839i
\(718\) −15.7413 + 44.0407i −0.587461 + 1.64358i
\(719\) 1.97161 + 4.75990i 0.0735288 + 0.177514i 0.956371 0.292156i \(-0.0943727\pi\)
−0.882842 + 0.469670i \(0.844373\pi\)
\(720\) −9.83540 + 2.10506i −0.366544 + 0.0784509i
\(721\) −7.08365 + 17.1014i −0.263809 + 0.636891i
\(722\) 2.32921 + 2.10965i 0.0866843 + 0.0785131i
\(723\) −19.6273 21.3712i −0.729949 0.794805i
\(724\) 12.6178 + 8.41872i 0.468938 + 0.312879i
\(725\) −10.3297 + 34.0526i −0.383637 + 1.26468i
\(726\) −2.46640 + 2.50074i −0.0915368 + 0.0928113i
\(727\) −7.77843 + 39.1048i −0.288486 + 1.45032i 0.516124 + 0.856514i \(0.327374\pi\)
−0.804610 + 0.593803i \(0.797626\pi\)
\(728\) −10.4311 + 11.5323i −0.386602 + 0.427414i
\(729\) 13.6573 + 23.2912i 0.505825 + 0.862636i
\(730\) −0.239979 1.61407i −0.00888201 0.0597395i
\(731\) 52.6428 + 43.2029i 1.94707 + 1.59792i
\(732\) −30.5035 14.1574i −1.12744 0.523274i
\(733\) 5.63031 10.5336i 0.207960 0.389066i −0.756219 0.654319i \(-0.772955\pi\)
0.964179 + 0.265253i \(0.0854554\pi\)
\(734\) 15.5154 + 20.9054i 0.572682 + 0.771631i
\(735\) 6.07614 + 5.43473i 0.224122 + 0.200463i
\(736\) 10.3723 2.61664i 0.382328 0.0964507i
\(737\) −18.8525 18.8525i −0.694442 0.694442i
\(738\) 27.4000 + 0.975761i 1.00861 + 0.0359183i
\(739\) −17.9691 + 33.6179i −0.661005 + 1.23665i 0.298351 + 0.954456i \(0.403563\pi\)
−0.959356 + 0.282198i \(0.908937\pi\)
\(740\) 1.03667 + 0.101400i 0.0381088 + 0.00372755i
\(741\) −19.5693 + 26.7521i −0.718897 + 0.982764i
\(742\) −1.54338 1.14385i −0.0566594 0.0419920i
\(743\) 4.55660 0.906364i 0.167165 0.0332513i −0.110798 0.993843i \(-0.535341\pi\)
0.277963 + 0.960592i \(0.410341\pi\)
\(744\) −0.216039 + 0.411661i −0.00792037 + 0.0150922i
\(745\) −1.15122 + 5.78757i −0.0421774 + 0.212040i
\(746\) −3.34262 0.163087i −0.122382 0.00597104i
\(747\) 3.57489 19.2954i 0.130798 0.705981i
\(748\) −22.4257 33.5136i −0.819963 1.22538i
\(749\) 0.817022 0.670512i 0.0298533 0.0245000i
\(750\) 2.00230 + 18.9834i 0.0731138 + 0.693176i
\(751\) 17.0867 41.2509i 0.623502 1.50527i −0.224063 0.974575i \(-0.571932\pi\)
0.847565 0.530692i \(-0.178068\pi\)
\(752\) 26.5853 + 39.6723i 0.969466 + 1.44670i
\(753\) 20.3864 + 42.3799i 0.742920 + 1.54441i
\(754\) 49.4494 23.4081i 1.80084 0.852474i
\(755\) −0.0270666 + 0.274812i −0.000985056 + 0.0100014i
\(756\) 7.08300 9.96916i 0.257606 0.362575i
\(757\) −11.5396 21.5890i −0.419412 0.784666i 0.580142 0.814515i \(-0.302997\pi\)
−0.999554 + 0.0298498i \(0.990497\pi\)
\(758\) −32.3667 15.2950i −1.17561 0.555540i
\(759\) 6.08804 + 8.09692i 0.220982 + 0.293899i
\(760\) 6.52855 + 7.18857i 0.236815 + 0.260757i
\(761\) 27.2556 + 18.2116i 0.988016 + 0.660171i 0.940888 0.338718i \(-0.109993\pi\)
0.0471280 + 0.998889i \(0.484993\pi\)
\(762\) 4.64733 24.2382i 0.168355 0.878059i
\(763\) −1.08750 11.0416i −0.0393702 0.399732i
\(764\) −27.0297 + 14.4710i −0.977902 + 0.523544i
\(765\) −15.0604 + 6.47161i −0.544509 + 0.233981i
\(766\) 6.77577 11.3133i 0.244819 0.408766i
\(767\) −26.5922 −0.960187
\(768\) −20.3606 + 18.8002i −0.734698 + 0.678394i
\(769\) −26.7317 −0.963971 −0.481985 0.876179i \(-0.660084\pi\)
−0.481985 + 0.876179i \(0.660084\pi\)
\(770\) −2.21672 + 3.70119i −0.0798851 + 0.133382i
\(771\) 35.3679 12.9179i 1.27375 0.465226i
\(772\) 0.445913 0.238731i 0.0160488 0.00859210i