Properties

Label 273.2.bv.b.2.26
Level $273$
Weight $2$
Character 273.2
Analytic conductor $2.180$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bv (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(32\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 2.26
Character \(\chi\) \(=\) 273.2
Dual form 273.2.bv.b.137.26

$q$-expansion

\(f(q)\) \(=\) \(q+(1.32954 + 1.32954i) q^{2} +(1.33632 + 1.10193i) q^{3} +1.53537i q^{4} +(-3.58803 + 0.961410i) q^{5} +(0.311637 + 3.24176i) q^{6} +(0.951973 + 2.46855i) q^{7} +(0.617751 - 0.617751i) q^{8} +(0.571512 + 2.94506i) q^{9} +O(q^{10})\) \(q+(1.32954 + 1.32954i) q^{2} +(1.33632 + 1.10193i) q^{3} +1.53537i q^{4} +(-3.58803 + 0.961410i) q^{5} +(0.311637 + 3.24176i) q^{6} +(0.951973 + 2.46855i) q^{7} +(0.617751 - 0.617751i) q^{8} +(0.571512 + 2.94506i) q^{9} +(-6.04868 - 3.49220i) q^{10} +(-1.45862 - 5.44364i) q^{11} +(-1.69186 + 2.05174i) q^{12} +(3.45021 + 1.04692i) q^{13} +(-2.01636 + 4.54773i) q^{14} +(-5.85417 - 2.66900i) q^{15} +4.71338 q^{16} +0.604596 q^{17} +(-3.15573 + 4.67543i) q^{18} +(-2.61452 - 0.700557i) q^{19} +(-1.47612 - 5.50894i) q^{20} +(-1.44802 + 4.34778i) q^{21} +(5.29825 - 9.17685i) q^{22} +2.73302 q^{23} +(1.50623 - 0.144797i) q^{24} +(7.61953 - 4.39914i) q^{25} +(3.19528 + 5.97912i) q^{26} +(-2.48152 + 4.56531i) q^{27} +(-3.79013 + 1.46163i) q^{28} +(-0.0469632 + 0.0271142i) q^{29} +(-4.23482 - 11.3319i) q^{30} +(4.75563 + 1.27427i) q^{31} +(5.03114 + 5.03114i) q^{32} +(4.04931 - 8.88175i) q^{33} +(0.803836 + 0.803836i) q^{34} +(-5.78900 - 7.94200i) q^{35} +(-4.52174 + 0.877480i) q^{36} +(-5.11425 - 5.11425i) q^{37} +(-2.54469 - 4.40753i) q^{38} +(3.45697 + 5.20090i) q^{39} +(-1.62260 + 2.81042i) q^{40} +(1.68812 - 6.30015i) q^{41} +(-7.70577 + 3.85536i) q^{42} +(-4.42991 - 2.55761i) q^{43} +(8.35798 - 2.23951i) q^{44} +(-4.88201 - 10.0175i) q^{45} +(3.63366 + 3.63366i) q^{46} +(-0.552327 - 2.06131i) q^{47} +(6.29860 + 5.19381i) q^{48} +(-5.18749 + 4.69999i) q^{49} +(15.9793 + 4.28165i) q^{50} +(0.807935 + 0.666221i) q^{51} +(-1.60740 + 5.29734i) q^{52} +(-1.33418 + 0.770286i) q^{53} +(-9.36906 + 2.77049i) q^{54} +(10.4671 + 18.1296i) q^{55} +(2.11303 + 0.936867i) q^{56} +(-2.72187 - 3.81718i) q^{57} +(-0.0984891 - 0.0263901i) q^{58} +(-7.35313 + 7.35313i) q^{59} +(4.09789 - 8.98829i) q^{60} +(-0.545561 - 0.944939i) q^{61} +(4.62861 + 8.01700i) q^{62} +(-6.72597 + 4.21442i) q^{63} +3.95146i q^{64} +(-13.3860 - 0.439300i) q^{65} +(17.1924 - 6.42493i) q^{66} +(-1.27500 - 4.75837i) q^{67} +0.928276i q^{68} +(3.65219 + 3.01159i) q^{69} +(2.86251 - 18.2560i) q^{70} +(2.21785 - 0.594271i) q^{71} +(2.17236 + 1.46626i) q^{72} +(1.02989 - 3.84360i) q^{73} -13.5992i q^{74} +(15.0297 + 2.51751i) q^{75} +(1.07561 - 4.01424i) q^{76} +(12.0493 - 8.78288i) q^{77} +(-2.31863 + 11.5110i) q^{78} +(1.56958 - 2.71858i) q^{79} +(-16.9118 + 4.53149i) q^{80} +(-8.34675 + 3.36627i) q^{81} +(10.6208 - 6.13189i) q^{82} +(-5.54824 - 5.54824i) q^{83} +(-6.67544 - 2.22324i) q^{84} +(-2.16931 + 0.581265i) q^{85} +(-2.48930 - 9.29020i) q^{86} +(-0.0926359 - 0.0155167i) q^{87} +(-4.26388 - 2.46175i) q^{88} +(-9.63745 + 9.63745i) q^{89} +(6.82786 - 19.8095i) q^{90} +(0.700142 + 9.51366i) q^{91} +4.19618i q^{92} +(4.95090 + 6.94318i) q^{93} +(2.00626 - 3.47494i) q^{94} +10.0545 q^{95} +(1.17927 + 12.2672i) q^{96} +(-2.29951 - 8.58188i) q^{97} +(-13.1458 - 0.648158i) q^{98} +(15.1982 - 7.40683i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q + 2q^{3} - 4q^{6} - 16q^{7} + 8q^{9} + O(q^{10}) \) \( 128q + 2q^{3} - 4q^{6} - 16q^{7} + 8q^{9} - 12q^{10} + 48q^{12} - 16q^{13} - 6q^{15} - 64q^{16} - 2q^{18} - 4q^{19} - 6q^{21} - 8q^{22} + 2q^{24} - 40q^{27} + 68q^{28} + 18q^{30} + 20q^{31} - 16q^{33} - 48q^{34} - 60q^{36} - 8q^{37} + 4q^{39} + 44q^{40} + 2q^{42} - 144q^{43} - 2q^{45} - 24q^{46} - 64q^{48} - 60q^{49} - 36q^{51} + 48q^{52} + 14q^{54} - 16q^{55} + 40q^{57} + 44q^{58} - 58q^{60} + 20q^{61} + 14q^{63} - 34q^{66} - 84q^{67} - 54q^{69} - 104q^{70} + 46q^{72} - 48q^{73} + 144q^{76} + 82q^{78} - 24q^{79} + 24q^{81} + 36q^{82} + 184q^{84} + 56q^{85} + 4q^{87} + 132q^{88} + 24q^{91} + 16q^{93} - 16q^{94} - 90q^{96} + 52q^{97} - 10q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{12}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.32954 + 1.32954i 0.940128 + 0.940128i 0.998306 0.0581778i \(-0.0185290\pi\)
−0.0581778 + 0.998306i \(0.518529\pi\)
\(3\) 1.33632 + 1.10193i 0.771526 + 0.636198i
\(4\) 1.53537i 0.767683i
\(5\) −3.58803 + 0.961410i −1.60462 + 0.429956i −0.946433 0.322902i \(-0.895342\pi\)
−0.658184 + 0.752857i \(0.728675\pi\)
\(6\) 0.311637 + 3.24176i 0.127225 + 1.32344i
\(7\) 0.951973 + 2.46855i 0.359812 + 0.933025i
\(8\) 0.617751 0.617751i 0.218408 0.218408i
\(9\) 0.571512 + 2.94506i 0.190504 + 0.981686i
\(10\) −6.04868 3.49220i −1.91276 1.10433i
\(11\) −1.45862 5.44364i −0.439790 1.64132i −0.729336 0.684155i \(-0.760171\pi\)
0.289546 0.957164i \(-0.406496\pi\)
\(12\) −1.69186 + 2.05174i −0.488398 + 0.592287i
\(13\) 3.45021 + 1.04692i 0.956917 + 0.290362i
\(14\) −2.01636 + 4.54773i −0.538894 + 1.21543i
\(15\) −5.85417 2.66900i −1.51154 0.689132i
\(16\) 4.71338 1.17835
\(17\) 0.604596 0.146636 0.0733180 0.997309i \(-0.476641\pi\)
0.0733180 + 0.997309i \(0.476641\pi\)
\(18\) −3.15573 + 4.67543i −0.743813 + 1.10201i
\(19\) −2.61452 0.700557i −0.599811 0.160719i −0.0538778 0.998548i \(-0.517158\pi\)
−0.545933 + 0.837829i \(0.683825\pi\)
\(20\) −1.47612 5.50894i −0.330070 1.23184i
\(21\) −1.44802 + 4.34778i −0.315984 + 0.948764i
\(22\) 5.29825 9.17685i 1.12959 1.95651i
\(23\) 2.73302 0.569874 0.284937 0.958546i \(-0.408027\pi\)
0.284937 + 0.958546i \(0.408027\pi\)
\(24\) 1.50623 0.144797i 0.307458 0.0295566i
\(25\) 7.61953 4.39914i 1.52391 0.879828i
\(26\) 3.19528 + 5.97912i 0.626647 + 1.17260i
\(27\) −2.48152 + 4.56531i −0.477568 + 0.878595i
\(28\) −3.79013 + 1.46163i −0.716267 + 0.276222i
\(29\) −0.0469632 + 0.0271142i −0.00872085 + 0.00503499i −0.504354 0.863497i \(-0.668269\pi\)
0.495633 + 0.868532i \(0.334936\pi\)
\(30\) −4.23482 11.3319i −0.773169 2.06891i
\(31\) 4.75563 + 1.27427i 0.854135 + 0.228865i 0.659215 0.751954i \(-0.270889\pi\)
0.194920 + 0.980819i \(0.437555\pi\)
\(32\) 5.03114 + 5.03114i 0.889389 + 0.889389i
\(33\) 4.04931 8.88175i 0.704895 1.54611i
\(34\) 0.803836 + 0.803836i 0.137857 + 0.137857i
\(35\) −5.78900 7.94200i −0.978520 1.34244i
\(36\) −4.52174 + 0.877480i −0.753624 + 0.146247i
\(37\) −5.11425 5.11425i −0.840777 0.840777i 0.148183 0.988960i \(-0.452658\pi\)
−0.988960 + 0.148183i \(0.952658\pi\)
\(38\) −2.54469 4.40753i −0.412803 0.714996i
\(39\) 3.45697 + 5.20090i 0.553558 + 0.832811i
\(40\) −1.62260 + 2.81042i −0.256555 + 0.444367i
\(41\) 1.68812 6.30015i 0.263640 0.983919i −0.699437 0.714694i \(-0.746566\pi\)
0.963077 0.269225i \(-0.0867674\pi\)
\(42\) −7.70577 + 3.85536i −1.18903 + 0.594895i
\(43\) −4.42991 2.55761i −0.675554 0.390031i 0.122624 0.992453i \(-0.460869\pi\)
−0.798178 + 0.602422i \(0.794203\pi\)
\(44\) 8.35798 2.23951i 1.26001 0.337619i
\(45\) −4.88201 10.0175i −0.727768 1.49332i
\(46\) 3.63366 + 3.63366i 0.535755 + 0.535755i
\(47\) −0.552327 2.06131i −0.0805651 0.300673i 0.913872 0.406002i \(-0.133077\pi\)
−0.994437 + 0.105329i \(0.966411\pi\)
\(48\) 6.29860 + 5.19381i 0.909124 + 0.749661i
\(49\) −5.18749 + 4.69999i −0.741071 + 0.671427i
\(50\) 15.9793 + 4.28165i 2.25982 + 0.605517i
\(51\) 0.807935 + 0.666221i 0.113134 + 0.0932896i
\(52\) −1.60740 + 5.29734i −0.222906 + 0.734609i
\(53\) −1.33418 + 0.770286i −0.183263 + 0.105807i −0.588825 0.808261i \(-0.700409\pi\)
0.405562 + 0.914068i \(0.367076\pi\)
\(54\) −9.36906 + 2.77049i −1.27497 + 0.377016i
\(55\) 10.4671 + 18.1296i 1.41139 + 2.44460i
\(56\) 2.11303 + 0.936867i 0.282366 + 0.125194i
\(57\) −2.72187 3.81718i −0.360521 0.505597i
\(58\) −0.0984891 0.0263901i −0.0129323 0.00346519i
\(59\) −7.35313 + 7.35313i −0.957296 + 0.957296i −0.999125 0.0418286i \(-0.986682\pi\)
0.0418286 + 0.999125i \(0.486682\pi\)
\(60\) 4.09789 8.98829i 0.529035 1.16038i
\(61\) −0.545561 0.944939i −0.0698519 0.120987i 0.828984 0.559272i \(-0.188919\pi\)
−0.898836 + 0.438285i \(0.855586\pi\)
\(62\) 4.62861 + 8.01700i 0.587835 + 1.01816i
\(63\) −6.72597 + 4.21442i −0.847392 + 0.530968i
\(64\) 3.95146i 0.493933i
\(65\) −13.3860 0.439300i −1.66033 0.0544885i
\(66\) 17.1924 6.42493i 2.11624 0.790854i
\(67\) −1.27500 4.75837i −0.155766 0.581327i −0.999039 0.0438409i \(-0.986041\pi\)
0.843272 0.537487i \(-0.180626\pi\)
\(68\) 0.928276i 0.112570i
\(69\) 3.65219 + 3.01159i 0.439672 + 0.362553i
\(70\) 2.86251 18.2560i 0.342135 2.18200i
\(71\) 2.21785 0.594271i 0.263210 0.0705270i −0.124800 0.992182i \(-0.539829\pi\)
0.388011 + 0.921655i \(0.373162\pi\)
\(72\) 2.17236 + 1.46626i 0.256016 + 0.172800i
\(73\) 1.02989 3.84360i 0.120540 0.449860i −0.879102 0.476634i \(-0.841857\pi\)
0.999642 + 0.0267740i \(0.00852344\pi\)
\(74\) 13.5992i 1.58088i
\(75\) 15.0297 + 2.51751i 1.73548 + 0.290697i
\(76\) 1.07561 4.01424i 0.123381 0.460465i
\(77\) 12.0493 8.78288i 1.37315 1.00090i
\(78\) −2.31863 + 11.5110i −0.262533 + 1.30336i
\(79\) 1.56958 2.71858i 0.176591 0.305865i −0.764120 0.645074i \(-0.776826\pi\)
0.940711 + 0.339210i \(0.110160\pi\)
\(80\) −16.9118 + 4.53149i −1.89079 + 0.506636i
\(81\) −8.34675 + 3.36627i −0.927416 + 0.374030i
\(82\) 10.6208 6.13189i 1.17287 0.677154i
\(83\) −5.54824 5.54824i −0.608999 0.608999i 0.333686 0.942684i \(-0.391708\pi\)
−0.942684 + 0.333686i \(0.891708\pi\)
\(84\) −6.67544 2.22324i −0.728350 0.242576i
\(85\) −2.16931 + 0.581265i −0.235295 + 0.0630470i
\(86\) −2.48930 9.29020i −0.268428 1.00179i
\(87\) −0.0926359 0.0155167i −0.00993161 0.00166357i
\(88\) −4.26388 2.46175i −0.454531 0.262423i
\(89\) −9.63745 + 9.63745i −1.02157 + 1.02157i −0.0218053 + 0.999762i \(0.506941\pi\)
−0.999762 + 0.0218053i \(0.993059\pi\)
\(90\) 6.82786 19.8095i 0.719719 2.08811i
\(91\) 0.700142 + 9.51366i 0.0733949 + 0.997303i
\(92\) 4.19618i 0.437482i
\(93\) 4.95090 + 6.94318i 0.513384 + 0.719975i
\(94\) 2.00626 3.47494i 0.206930 0.358413i
\(95\) 10.0545 1.03157
\(96\) 1.17927 + 12.2672i 0.120359 + 1.25201i
\(97\) −2.29951 8.58188i −0.233480 0.871358i −0.978828 0.204683i \(-0.934384\pi\)
0.745348 0.666675i \(-0.232283\pi\)
\(98\) −13.1458 0.648158i −1.32793 0.0654738i
\(99\) 15.1982 7.40683i 1.52748 0.744414i
\(100\) 6.75429 + 11.6988i 0.675429 + 1.16988i
\(101\) −2.27392 + 3.93854i −0.226263 + 0.391899i −0.956698 0.291084i \(-0.905984\pi\)
0.730435 + 0.682983i \(0.239318\pi\)
\(102\) 0.188415 + 1.95995i 0.0186558 + 0.194064i
\(103\) −5.96503 3.44391i −0.587752 0.339339i 0.176456 0.984309i \(-0.443537\pi\)
−0.764208 + 0.644970i \(0.776870\pi\)
\(104\) 2.77810 1.48464i 0.272416 0.145581i
\(105\) 1.01554 16.9921i 0.0991070 1.65826i
\(106\) −2.79797 0.749714i −0.271763 0.0728187i
\(107\) 7.51825i 0.726817i 0.931630 + 0.363408i \(0.118387\pi\)
−0.931630 + 0.363408i \(0.881613\pi\)
\(108\) −7.00942 3.81004i −0.674482 0.366621i
\(109\) 7.79340 + 2.08824i 0.746473 + 0.200017i 0.611953 0.790894i \(-0.290384\pi\)
0.134520 + 0.990911i \(0.457051\pi\)
\(110\) −10.1876 + 38.0206i −0.971349 + 3.62512i
\(111\) −1.19875 12.4698i −0.113780 1.18358i
\(112\) 4.48701 + 11.6352i 0.423983 + 1.09943i
\(113\) 15.8638 + 9.15899i 1.49234 + 0.861605i 0.999962 0.00877367i \(-0.00279278\pi\)
0.492383 + 0.870379i \(0.336126\pi\)
\(114\) 1.45626 8.69394i 0.136391 0.814262i
\(115\) −9.80616 + 2.62755i −0.914429 + 0.245020i
\(116\) −0.0416303 0.0721058i −0.00386527 0.00669485i
\(117\) −1.11139 + 10.7594i −0.102748 + 0.994707i
\(118\) −19.5526 −1.79996
\(119\) 0.575559 + 1.49248i 0.0527614 + 0.136815i
\(120\) −5.26519 + 1.96764i −0.480644 + 0.179620i
\(121\) −17.9794 + 10.3804i −1.63449 + 0.943672i
\(122\) 0.530990 1.98168i 0.0480736 0.179413i
\(123\) 9.19819 6.55885i 0.829373 0.591391i
\(124\) −1.95646 + 7.30162i −0.175696 + 0.655705i
\(125\) −9.97664 + 9.97664i −0.892338 + 0.892338i
\(126\) −14.5457 3.33920i −1.29584 0.297480i
\(127\) 3.36991 1.94562i 0.299031 0.172646i −0.342976 0.939344i \(-0.611435\pi\)
0.642008 + 0.766698i \(0.278102\pi\)
\(128\) 4.80864 4.80864i 0.425028 0.425028i
\(129\) −3.10148 8.29922i −0.273070 0.730706i
\(130\) −17.2132 18.3813i −1.50969 1.61215i
\(131\) 1.02275 + 0.590485i 0.0893580 + 0.0515909i 0.544013 0.839077i \(-0.316904\pi\)
−0.454655 + 0.890668i \(0.650237\pi\)
\(132\) 13.6367 + 6.21718i 1.18693 + 0.541136i
\(133\) −0.759587 7.12098i −0.0658645 0.617467i
\(134\) 4.63129 8.02162i 0.400082 0.692963i
\(135\) 4.51463 18.7662i 0.388557 1.61514i
\(136\) 0.373490 0.373490i 0.0320265 0.0320265i
\(137\) −3.64709 + 3.64709i −0.311592 + 0.311592i −0.845526 0.533934i \(-0.820713\pi\)
0.533934 + 0.845526i \(0.320713\pi\)
\(138\) 0.851711 + 8.85978i 0.0725024 + 0.754194i
\(139\) −4.97965 + 8.62500i −0.422368 + 0.731563i −0.996171 0.0874308i \(-0.972134\pi\)
0.573803 + 0.818994i \(0.305468\pi\)
\(140\) 12.1939 8.88823i 1.03057 0.751193i
\(141\) 1.53333 3.36320i 0.129130 0.283232i
\(142\) 3.73883 + 2.15862i 0.313756 + 0.181147i
\(143\) 0.666491 20.3088i 0.0557348 1.69830i
\(144\) 2.69376 + 13.8812i 0.224480 + 1.15677i
\(145\) 0.142438 0.142438i 0.0118288 0.0118288i
\(146\) 6.47952 3.74095i 0.536249 0.309603i
\(147\) −12.1112 + 0.564457i −0.998916 + 0.0465556i
\(148\) 7.85224 7.85224i 0.645450 0.645450i
\(149\) −4.61056 + 17.2068i −0.377712 + 1.40964i 0.471631 + 0.881796i \(0.343666\pi\)
−0.849342 + 0.527842i \(0.823001\pi\)
\(150\) 16.6355 + 23.3297i 1.35828 + 1.90486i
\(151\) −2.52741 + 9.43241i −0.205677 + 0.767598i 0.783565 + 0.621310i \(0.213399\pi\)
−0.989242 + 0.146288i \(0.953267\pi\)
\(152\) −2.04789 + 1.18235i −0.166106 + 0.0959012i
\(153\) 0.345534 + 1.78057i 0.0279348 + 0.143951i
\(154\) 27.6973 + 4.34290i 2.23191 + 0.349961i
\(155\) −18.2884 −1.46896
\(156\) −7.98529 + 5.30771i −0.639335 + 0.424957i
\(157\) 9.09434 + 15.7519i 0.725807 + 1.25714i 0.958641 + 0.284618i \(0.0918669\pi\)
−0.232834 + 0.972517i \(0.574800\pi\)
\(158\) 5.70129 1.52766i 0.453570 0.121534i
\(159\) −2.63169 0.440814i −0.208706 0.0349588i
\(160\) −22.8889 13.2149i −1.80953 1.04473i
\(161\) 2.60176 + 6.74660i 0.205047 + 0.531706i
\(162\) −15.5730 6.62175i −1.22353 0.520254i
\(163\) 4.29115 16.0148i 0.336109 1.25438i −0.566553 0.824025i \(-0.691723\pi\)
0.902662 0.430350i \(-0.141610\pi\)
\(164\) 9.67304 + 2.59188i 0.755338 + 0.202392i
\(165\) −5.99006 + 35.7610i −0.466325 + 2.78399i
\(166\) 14.7532i 1.14507i
\(167\) −8.07090 2.16259i −0.624545 0.167346i −0.0673521 0.997729i \(-0.521455\pi\)
−0.557193 + 0.830383i \(0.688122\pi\)
\(168\) 1.79133 + 3.58036i 0.138204 + 0.276231i
\(169\) 10.8079 + 7.22417i 0.831379 + 0.555705i
\(170\) −3.65700 2.11137i −0.280479 0.161935i
\(171\) 0.568956 8.10028i 0.0435091 0.619444i
\(172\) 3.92686 6.80153i 0.299421 0.518612i
\(173\) −11.8399 20.5072i −0.900168 1.55914i −0.827275 0.561797i \(-0.810110\pi\)
−0.0728927 0.997340i \(-0.523223\pi\)
\(174\) −0.102533 0.143794i −0.00777302 0.0109010i
\(175\) 18.1131 + 14.6213i 1.36922 + 1.10527i
\(176\) −6.87503 25.6580i −0.518225 1.93404i
\(177\) −17.9288 + 1.72353i −1.34761 + 0.129549i
\(178\) −25.6268 −1.92081
\(179\) −0.657398 + 1.13865i −0.0491362 + 0.0851064i −0.889547 0.456843i \(-0.848980\pi\)
0.840411 + 0.541949i \(0.182314\pi\)
\(180\) 15.3805 7.49568i 1.14640 0.558695i
\(181\) 1.12412i 0.0835548i 0.999127 + 0.0417774i \(0.0133020\pi\)
−0.999127 + 0.0417774i \(0.986698\pi\)
\(182\) −11.7180 + 13.5797i −0.868592 + 1.00659i
\(183\) 0.312209 1.86391i 0.0230792 0.137784i
\(184\) 1.68832 1.68832i 0.124465 0.124465i
\(185\) 23.2670 + 13.4332i 1.71062 + 0.987628i
\(186\) −2.64883 + 15.8137i −0.194222 + 1.15952i
\(187\) −0.881875 3.29120i −0.0644891 0.240677i
\(188\) 3.16487 0.848023i 0.230822 0.0618485i
\(189\) −13.6320 1.77970i −0.991585 0.129454i
\(190\) 13.3679 + 13.3679i 0.969807 + 0.969807i
\(191\) 15.6573 9.03976i 1.13292 0.654094i 0.188256 0.982120i \(-0.439717\pi\)
0.944669 + 0.328026i \(0.106383\pi\)
\(192\) −4.35423 + 5.28043i −0.314239 + 0.381082i
\(193\) −21.4206 + 5.73962i −1.54189 + 0.413147i −0.926875 0.375371i \(-0.877515\pi\)
−0.615011 + 0.788518i \(0.710849\pi\)
\(194\) 8.35268 14.4673i 0.599688 1.03869i
\(195\) −17.4039 15.3374i −1.24632 1.09834i
\(196\) −7.21620 7.96470i −0.515443 0.568907i
\(197\) 0.0595601 0.222281i 0.00424348 0.0158369i −0.963772 0.266729i \(-0.914057\pi\)
0.968015 + 0.250892i \(0.0807239\pi\)
\(198\) 30.0544 + 10.3590i 2.13587 + 0.736182i
\(199\) 20.2649i 1.43654i −0.695763 0.718271i \(-0.744934\pi\)
0.695763 0.718271i \(-0.255066\pi\)
\(200\) 1.98940 7.42454i 0.140672 0.524995i
\(201\) 3.53957 7.76367i 0.249662 0.547607i
\(202\) −8.25972 + 2.21319i −0.581152 + 0.155719i
\(203\) −0.111641 0.0901191i −0.00783564 0.00632512i
\(204\) −1.02289 + 1.24048i −0.0716168 + 0.0868507i
\(205\) 24.2281i 1.69217i
\(206\) −3.35194 12.5096i −0.233540 0.871585i
\(207\) 1.56195 + 8.04890i 0.108563 + 0.559437i
\(208\) 16.2622 + 4.93452i 1.12758 + 0.342147i
\(209\) 15.2543i 1.05516i
\(210\) 23.9420 21.2415i 1.65215 1.46581i
\(211\) −8.83977 15.3109i −0.608555 1.05405i −0.991479 0.130268i \(-0.958416\pi\)
0.382924 0.923780i \(-0.374917\pi\)
\(212\) −1.18267 2.04845i −0.0812262 0.140688i
\(213\) 3.61860 + 1.64977i 0.247943 + 0.113040i
\(214\) −9.99583 + 9.99583i −0.683301 + 0.683301i
\(215\) 18.3536 + 4.91782i 1.25170 + 0.335392i
\(216\) 1.28727 + 4.35318i 0.0875873 + 0.296197i
\(217\) 1.38164 + 12.9526i 0.0937916 + 0.879278i
\(218\) 7.58526 + 13.1381i 0.513739 + 0.889822i
\(219\) 5.61164 4.00143i 0.379199 0.270391i
\(220\) −27.8356 + 16.0709i −1.87668 + 1.08350i
\(221\) 2.08598 + 0.632962i 0.140319 + 0.0425776i
\(222\) 14.9854 18.1729i 1.00575 1.21969i
\(223\) 6.32579 + 1.69499i 0.423606 + 0.113505i 0.464323 0.885666i \(-0.346298\pi\)
−0.0407172 + 0.999171i \(0.512964\pi\)
\(224\) −7.63012 + 17.2091i −0.509809 + 1.14983i
\(225\) 17.3104 + 19.9258i 1.15403 + 1.32839i
\(226\) 8.91438 + 33.2689i 0.592975 + 2.21301i
\(227\) 10.5772 + 10.5772i 0.702034 + 0.702034i 0.964847 0.262813i \(-0.0846501\pi\)
−0.262813 + 0.964847i \(0.584650\pi\)
\(228\) 5.86076 4.17907i 0.388139 0.276766i
\(229\) 2.67246 0.716084i 0.176601 0.0473202i −0.169435 0.985541i \(-0.554194\pi\)
0.346036 + 0.938221i \(0.387528\pi\)
\(230\) −16.5311 9.54426i −1.09003 0.629330i
\(231\) 25.7799 + 1.54075i 1.69619 + 0.101374i
\(232\) −0.0122617 + 0.0457614i −0.000805022 + 0.00300438i
\(233\) 0.617770 1.07001i 0.0404715 0.0700987i −0.845080 0.534640i \(-0.820447\pi\)
0.885552 + 0.464541i \(0.153781\pi\)
\(234\) −15.7827 + 12.8274i −1.03175 + 0.838556i
\(235\) 3.96353 + 6.86504i 0.258552 + 0.447826i
\(236\) −11.2897 11.2897i −0.734900 0.734900i
\(237\) 5.09314 1.90335i 0.330835 0.123636i
\(238\) −1.21908 + 2.74954i −0.0790212 + 0.178226i
\(239\) 16.3133 + 16.3133i 1.05522 + 1.05522i 0.998384 + 0.0568334i \(0.0181004\pi\)
0.0568334 + 0.998384i \(0.481900\pi\)
\(240\) −27.5929 12.5800i −1.78112 0.812036i
\(241\) −10.5679 10.5679i −0.680741 0.680741i 0.279426 0.960167i \(-0.409856\pi\)
−0.960167 + 0.279426i \(0.909856\pi\)
\(242\) −37.7055 10.1032i −2.42380 0.649456i
\(243\) −14.8633 4.69908i −0.953483 0.301446i
\(244\) 1.45083 0.837636i 0.0928797 0.0536241i
\(245\) 14.0943 21.8510i 0.900450 1.39601i
\(246\) 20.9496 + 3.50911i 1.33570 + 0.223733i
\(247\) −8.28721 5.15425i −0.527303 0.327957i
\(248\) 3.72497 2.15061i 0.236536 0.136564i
\(249\) −1.30048 13.5280i −0.0824144 0.857302i
\(250\) −26.5287 −1.67782
\(251\) 7.72730 13.3841i 0.487743 0.844796i −0.512158 0.858891i \(-0.671154\pi\)
0.999901 + 0.0140958i \(0.00448698\pi\)
\(252\) −6.47068 10.3268i −0.407615 0.650528i
\(253\) −3.98643 14.8776i −0.250625 0.935345i
\(254\) 7.06723 + 1.89366i 0.443437 + 0.118819i
\(255\) −3.53941 1.61366i −0.221646 0.101052i
\(256\) 20.6895 1.29309
\(257\) 8.53830 0.532605 0.266302 0.963890i \(-0.414198\pi\)
0.266302 + 0.963890i \(0.414198\pi\)
\(258\) 6.91061 15.1577i 0.430236 0.943678i
\(259\) 7.75616 17.4934i 0.481944 1.08699i
\(260\) 0.674487 20.5524i 0.0418299 1.27460i
\(261\) −0.106693 0.122813i −0.00660414 0.00760196i
\(262\) 0.574714 + 2.14486i 0.0355060 + 0.132510i
\(263\) −10.9073 6.29735i −0.672574 0.388311i 0.124477 0.992222i \(-0.460275\pi\)
−0.797051 + 0.603911i \(0.793608\pi\)
\(264\) −2.98524 7.98817i −0.183729 0.491638i
\(265\) 4.04650 4.04650i 0.248575 0.248575i
\(266\) 8.45774 10.4775i 0.518577 0.642420i
\(267\) −23.4985 + 2.25896i −1.43808 + 0.138246i
\(268\) 7.30584 1.95759i 0.446275 0.119579i
\(269\) 16.6314i 1.01403i −0.861937 0.507016i \(-0.830749\pi\)
0.861937 0.507016i \(-0.169251\pi\)
\(270\) 30.9529 18.9481i 1.88373 1.15315i
\(271\) 16.5451 + 16.5451i 1.00504 + 1.00504i 0.999987 + 0.00505565i \(0.00160927\pi\)
0.00505565 + 0.999987i \(0.498391\pi\)
\(272\) 2.84969 0.172788
\(273\) −9.54775 + 13.4848i −0.577856 + 0.816139i
\(274\) −9.69791 −0.585872
\(275\) −35.0613 35.0613i −2.11428 2.11428i
\(276\) −4.62389 + 5.60745i −0.278325 + 0.337529i
\(277\) 18.8670i 1.13361i 0.823853 + 0.566804i \(0.191820\pi\)
−0.823853 + 0.566804i \(0.808180\pi\)
\(278\) −18.0880 + 4.84665i −1.08484 + 0.290683i
\(279\) −1.03489 + 14.7339i −0.0619573 + 0.882093i
\(280\) −8.48234 1.33002i −0.506917 0.0794839i
\(281\) 6.51031 6.51031i 0.388372 0.388372i −0.485734 0.874107i \(-0.661448\pi\)
0.874107 + 0.485734i \(0.161448\pi\)
\(282\) 6.51014 2.43289i 0.387673 0.144876i
\(283\) 7.70029 + 4.44577i 0.457735 + 0.264273i 0.711091 0.703100i \(-0.248201\pi\)
−0.253356 + 0.967373i \(0.581535\pi\)
\(284\) 0.912423 + 3.40521i 0.0541423 + 0.202062i
\(285\) 13.4360 + 11.0793i 0.795882 + 0.656282i
\(286\) 27.8875 26.1152i 1.64902 1.54423i
\(287\) 17.1593 1.83036i 1.01288 0.108043i
\(288\) −11.9417 + 17.6924i −0.703669 + 1.04253i
\(289\) −16.6345 −0.978498
\(290\) 0.378754 0.0222412
\(291\) 6.38373 14.0021i 0.374221 0.820815i
\(292\) 5.90134 + 1.58126i 0.345350 + 0.0925362i
\(293\) 2.28161 + 8.51510i 0.133293 + 0.497458i 0.999999 0.00136224i \(-0.000433616\pi\)
−0.866706 + 0.498820i \(0.833767\pi\)
\(294\) −16.8528 15.3519i −0.982877 0.895341i
\(295\) 19.3139 33.4526i 1.12450 1.94769i
\(296\) −6.31866 −0.367265
\(297\) 28.4715 + 6.84944i 1.65208 + 0.397445i
\(298\) −29.0071 + 16.7473i −1.68034 + 0.970144i
\(299\) 9.42950 + 2.86124i 0.545322 + 0.165470i
\(300\) −3.86529 + 23.0761i −0.223163 + 1.33230i
\(301\) 2.09643 13.3702i 0.120836 0.770647i
\(302\) −15.9011 + 9.18049i −0.915004 + 0.528278i
\(303\) −7.37867 + 2.75746i −0.423893 + 0.158412i
\(304\) −12.3232 3.30200i −0.706785 0.189382i
\(305\) 2.86596 + 2.86596i 0.164105 + 0.164105i
\(306\) −1.90794 + 2.82675i −0.109070 + 0.161594i
\(307\) −12.3916 12.3916i −0.707226 0.707226i 0.258725 0.965951i \(-0.416698\pi\)
−0.965951 + 0.258725i \(0.916698\pi\)
\(308\) 13.4849 + 18.5001i 0.768375 + 1.05414i
\(309\) −4.17626 11.1752i −0.237579 0.635735i
\(310\) −24.3152 24.3152i −1.38101 1.38101i
\(311\) 12.6937 + 21.9862i 0.719796 + 1.24672i 0.961081 + 0.276268i \(0.0890978\pi\)
−0.241285 + 0.970454i \(0.577569\pi\)
\(312\) 5.34841 + 1.07732i 0.302794 + 0.0609910i
\(313\) 9.40956 16.2978i 0.531860 0.921208i −0.467449 0.884020i \(-0.654827\pi\)
0.999308 0.0371877i \(-0.0118399\pi\)
\(314\) −8.85145 + 33.0341i −0.499516 + 1.86422i
\(315\) 20.0812 21.5879i 1.13145 1.21634i
\(316\) 4.17402 + 2.40987i 0.234807 + 0.135566i
\(317\) −12.0323 + 3.22403i −0.675799 + 0.181080i −0.580365 0.814356i \(-0.697090\pi\)
−0.0954331 + 0.995436i \(0.530424\pi\)
\(318\) −2.91286 4.08502i −0.163345 0.229077i
\(319\) 0.216102 + 0.216102i 0.0120994 + 0.0120994i
\(320\) −3.79898 14.1780i −0.212369 0.792573i
\(321\) −8.28457 + 10.0468i −0.462399 + 0.560758i
\(322\) −5.51074 + 12.4290i −0.307101 + 0.692643i
\(323\) −1.58073 0.423554i −0.0879539 0.0235672i
\(324\) −5.16846 12.8153i −0.287137 0.711962i
\(325\) 30.8945 7.20095i 1.71372 0.399437i
\(326\) 26.9976 15.5871i 1.49526 0.863289i
\(327\) 8.11341 + 11.3783i 0.448673 + 0.629223i
\(328\) −2.84909 4.93476i −0.157315 0.272477i
\(329\) 4.56265 3.32576i 0.251547 0.183355i
\(330\) −55.5099 + 39.5818i −3.05572 + 2.17891i
\(331\) 30.0891 + 8.06234i 1.65384 + 0.443146i 0.960686 0.277638i \(-0.0895516\pi\)
0.693159 + 0.720785i \(0.256218\pi\)
\(332\) 8.51858 8.51858i 0.467518 0.467518i
\(333\) 12.1389 17.9846i 0.665208 0.985551i
\(334\) −7.85535 13.6059i −0.429826 0.744480i
\(335\) 9.14949 + 15.8474i 0.499890 + 0.865835i
\(336\) −6.82508 + 20.4928i −0.372339 + 1.11797i
\(337\) 26.6167i 1.44991i 0.688799 + 0.724953i \(0.258138\pi\)
−0.688799 + 0.724953i \(0.741862\pi\)
\(338\) 4.76476 + 23.9744i 0.259169 + 1.30404i
\(339\) 11.1066 + 29.7202i 0.603230 + 1.61418i
\(340\) −0.892454 3.33068i −0.0484001 0.180632i
\(341\) 27.7466i 1.50256i
\(342\) 11.5261 10.0132i 0.623261 0.541453i
\(343\) −16.5405 8.33133i −0.893104 0.449850i
\(344\) −4.31654 + 1.15661i −0.232732 + 0.0623604i
\(345\) −15.9996 7.29442i −0.861387 0.392718i
\(346\) 11.5236 43.0068i 0.619515 2.31206i
\(347\) 0.219367i 0.0117763i −0.999983 0.00588813i \(-0.998126\pi\)
0.999983 0.00588813i \(-0.00187426\pi\)
\(348\) 0.0238239 0.142230i 0.00127709 0.00762433i
\(349\) 0.844625 3.15218i 0.0452117 0.168733i −0.939629 0.342196i \(-0.888829\pi\)
0.984840 + 0.173464i \(0.0554959\pi\)
\(350\) 4.64242 + 43.5218i 0.248148 + 2.32634i
\(351\) −13.3413 + 13.1534i −0.712104 + 0.702074i
\(352\) 20.0492 34.7262i 1.06863 1.85092i
\(353\) −11.4247 + 3.06124i −0.608076 + 0.162933i −0.549701 0.835361i \(-0.685258\pi\)
−0.0583747 + 0.998295i \(0.518592\pi\)
\(354\) −26.1286 21.5455i −1.38872 1.14513i
\(355\) −7.38637 + 4.26452i −0.392028 + 0.226337i
\(356\) −14.7970 14.7970i −0.784240 0.784240i
\(357\) −0.875468 + 2.62865i −0.0463347 + 0.139123i
\(358\) −2.38792 + 0.639840i −0.126205 + 0.0338166i
\(359\) 9.13128 + 34.0784i 0.481930 + 1.79859i 0.593502 + 0.804833i \(0.297745\pi\)
−0.111572 + 0.993756i \(0.535588\pi\)
\(360\) −9.20419 3.17246i −0.485103 0.167203i
\(361\) −10.1096 5.83676i −0.532083 0.307198i
\(362\) −1.49456 + 1.49456i −0.0785523 + 0.0785523i
\(363\) −35.4647 5.94041i −1.86141 0.311791i
\(364\) −14.6070 + 1.07497i −0.765612 + 0.0563440i
\(365\) 14.7811i 0.773679i
\(366\) 2.89324 2.06305i 0.151232 0.107838i
\(367\) 1.15740 2.00467i 0.0604157 0.104643i −0.834236 0.551408i \(-0.814091\pi\)
0.894651 + 0.446765i \(0.147424\pi\)
\(368\) 12.8818 0.671508
\(369\) 19.5191 + 1.37100i 1.01612 + 0.0713716i
\(370\) 13.0744 + 48.7944i 0.679707 + 2.53670i
\(371\) −3.17159 2.56019i −0.164661 0.132918i
\(372\) −10.6603 + 7.60144i −0.552712 + 0.394116i
\(373\) 6.40900 + 11.1007i 0.331845 + 0.574773i 0.982874 0.184280i \(-0.0589954\pi\)
−0.651028 + 0.759053i \(0.725662\pi\)
\(374\) 3.20330 5.54828i 0.165639 0.286895i
\(375\) −24.3255 + 2.33847i −1.25617 + 0.120758i
\(376\) −1.61458 0.932176i −0.0832654 0.0480733i
\(377\) −0.190419 + 0.0443833i −0.00980710 + 0.00228586i
\(378\) −15.7582 20.4906i −0.810514 1.05392i
\(379\) 10.4302 + 2.79475i 0.535762 + 0.143557i 0.516548 0.856258i \(-0.327217\pi\)
0.0192141 + 0.999815i \(0.493884\pi\)
\(380\) 15.4373i 0.791918i
\(381\) 6.64722 + 1.11342i 0.340547 + 0.0570425i
\(382\) 32.8358 + 8.79833i 1.68003 + 0.450162i
\(383\) 3.07334 11.4698i 0.157040 0.586082i −0.841882 0.539662i \(-0.818552\pi\)
0.998922 0.0464199i \(-0.0147812\pi\)
\(384\) 11.7247 1.12712i 0.598322 0.0575181i
\(385\) −34.7895 + 43.0976i −1.77304 + 2.19646i
\(386\) −36.1106 20.8485i −1.83798 1.06116i
\(387\) 5.00056 14.5080i 0.254193 0.737485i
\(388\) 13.1763 3.53059i 0.668927 0.179238i
\(389\) 2.91582 + 5.05035i 0.147838 + 0.256063i 0.930428 0.366474i \(-0.119435\pi\)
−0.782590 + 0.622537i \(0.786102\pi\)
\(390\) −2.74747 43.5310i −0.139124 2.20428i
\(391\) 1.65237 0.0835641
\(392\) −0.301156 + 6.10800i −0.0152107 + 0.308501i
\(393\) 0.716051 + 1.91607i 0.0361200 + 0.0966531i
\(394\) 0.374720 0.216345i 0.0188781 0.0108993i
\(395\) −3.01801 + 11.2634i −0.151853 + 0.566722i
\(396\) 11.3722 + 23.3348i 0.571474 + 1.17262i
\(397\) −1.28622 + 4.80023i −0.0645535 + 0.240917i −0.990662 0.136340i \(-0.956466\pi\)
0.926109 + 0.377257i \(0.123133\pi\)
\(398\) 26.9431 26.9431i 1.35053 1.35053i
\(399\) 6.83175 10.3529i 0.342015 0.518295i
\(400\) 35.9138 20.7348i 1.79569 1.03674i
\(401\) −13.6543 + 13.6543i −0.681864 + 0.681864i −0.960420 0.278556i \(-0.910144\pi\)
0.278556 + 0.960420i \(0.410144\pi\)
\(402\) 15.0281 5.61613i 0.749535 0.280107i
\(403\) 15.0739 + 9.37523i 0.750883 + 0.467013i
\(404\) −6.04710 3.49129i −0.300854 0.173698i
\(405\) 26.7120 20.1029i 1.32733 0.998923i
\(406\) −0.0286137 0.268248i −0.00142008 0.0133129i
\(407\) −20.3804 + 35.2999i −1.01022 + 1.74975i
\(408\) 0.910661 0.0875439i 0.0450844 0.00433407i
\(409\) −7.23156 + 7.23156i −0.357578 + 0.357578i −0.862919 0.505342i \(-0.831366\pi\)
0.505342 + 0.862919i \(0.331366\pi\)
\(410\) −32.2123 + 32.2123i −1.59085 + 1.59085i
\(411\) −8.89251 + 0.854857i −0.438635 + 0.0421670i
\(412\) 5.28767 9.15851i 0.260505 0.451207i
\(413\) −25.1516 11.1516i −1.23763 0.548734i
\(414\) −8.62467 + 12.7780i −0.423880 + 0.628006i
\(415\) 25.2414 + 14.5731i 1.23905 + 0.715367i
\(416\) 12.0913 + 22.6257i 0.592826 + 1.10932i
\(417\) −16.1585 + 6.03857i −0.791287 + 0.295710i
\(418\) −20.2813 + 20.2813i −0.991990 + 0.991990i
\(419\) 2.28595 1.31979i 0.111676 0.0644761i −0.443122 0.896461i \(-0.646129\pi\)
0.554798 + 0.831985i \(0.312796\pi\)
\(420\) 26.0891 + 1.55923i 1.27302 + 0.0760827i
\(421\) −20.5483 + 20.5483i −1.00146 + 1.00146i −0.00146365 + 0.999999i \(0.500466\pi\)
−0.999999 + 0.00146365i \(0.999534\pi\)
\(422\) 8.60368 32.1094i 0.418821 1.56306i
\(423\) 5.75502 2.80470i 0.279819 0.136369i
\(424\) −0.348343 + 1.30003i −0.0169170 + 0.0631352i
\(425\) 4.60674 2.65970i 0.223460 0.129015i
\(426\) 2.61764 + 7.00453i 0.126825 + 0.339370i
\(427\) 1.81327 2.24630i 0.0877504 0.108706i
\(428\) −11.5433 −0.557965
\(429\) 23.2694 26.4046i 1.12346 1.27483i
\(430\) 17.8634 + 30.9403i 0.861448 + 1.49207i
\(431\) 12.2196 3.27422i 0.588595 0.157714i 0.0477840 0.998858i \(-0.484784\pi\)
0.540811 + 0.841144i \(0.318117\pi\)
\(432\) −11.6963 + 21.5181i −0.562741 + 1.03529i
\(433\) 14.6025 + 8.43076i 0.701751 + 0.405156i 0.807999 0.589183i \(-0.200550\pi\)
−0.106248 + 0.994340i \(0.533884\pi\)
\(434\) −15.3841 + 19.0579i −0.738458 + 0.914810i
\(435\) 0.347299 0.0333866i 0.0166517 0.00160076i
\(436\) −3.20621 + 11.9657i −0.153549 + 0.573054i
\(437\) −7.14552 1.91464i −0.341817 0.0915895i
\(438\) 12.7810 + 2.14084i 0.610699 + 0.102293i
\(439\) 19.8601i 0.947872i −0.880559 0.473936i \(-0.842833\pi\)
0.880559 0.473936i \(-0.157167\pi\)
\(440\) 17.6657 + 4.73350i 0.842178 + 0.225661i
\(441\) −16.8065 12.5914i −0.800308 0.599589i
\(442\) 1.93186 + 3.61495i 0.0918890 + 0.171946i
\(443\) 1.78376 + 1.02985i 0.0847488 + 0.0489297i 0.541775 0.840523i \(-0.317752\pi\)
−0.457027 + 0.889453i \(0.651086\pi\)
\(444\) 19.1457 1.84052i 0.908616 0.0873473i
\(445\) 25.3139 43.8450i 1.20000 2.07845i
\(446\) 6.15684 + 10.6640i 0.291535 + 0.504953i
\(447\) −25.1219 + 17.9134i −1.18822 + 0.847273i
\(448\) −9.75440 + 3.76169i −0.460852 + 0.177723i
\(449\) −0.731361 2.72948i −0.0345151 0.128812i 0.946519 0.322649i \(-0.104573\pi\)
−0.981034 + 0.193837i \(0.937907\pi\)
\(450\) −3.47733 + 49.5071i −0.163923 + 2.33379i
\(451\) −36.7581 −1.73087
\(452\) −14.0624 + 24.3568i −0.661440 + 1.14565i
\(453\) −13.7713 + 9.81971i −0.647030 + 0.461370i
\(454\) 28.1257i 1.32000i
\(455\) −11.6587 33.4622i −0.546567 1.56873i
\(456\) −4.03950 0.676626i −0.189167 0.0316859i
\(457\) −4.58547 + 4.58547i −0.214499 + 0.214499i −0.806176 0.591676i \(-0.798466\pi\)
0.591676 + 0.806176i \(0.298466\pi\)
\(458\) 4.50522 + 2.60109i 0.210515 + 0.121541i
\(459\) −1.50032 + 2.76017i −0.0700287 + 0.128834i
\(460\) −4.03425 15.0560i −0.188098 0.701991i
\(461\) −26.6446 + 7.13940i −1.24096 + 0.332515i −0.818839 0.574023i \(-0.805382\pi\)
−0.422124 + 0.906538i \(0.638715\pi\)
\(462\) 32.2270 + 36.3239i 1.49933 + 1.68994i
\(463\) 6.97329 + 6.97329i 0.324076 + 0.324076i 0.850329 0.526252i \(-0.176403\pi\)
−0.526252 + 0.850329i \(0.676403\pi\)
\(464\) −0.221356 + 0.127800i −0.0102762 + 0.00593296i
\(465\) −24.4392 20.1525i −1.13334 0.934551i
\(466\) 2.24398 0.601271i 0.103950 0.0278534i
\(467\) 17.0379 29.5105i 0.788420 1.36558i −0.138514 0.990361i \(-0.544233\pi\)
0.926934 0.375224i \(-0.122434\pi\)
\(468\) −16.5196 1.70640i −0.763620 0.0788781i
\(469\) 10.5325 7.67725i 0.486346 0.354502i
\(470\) −3.85767 + 14.3970i −0.177941 + 0.664086i
\(471\) −5.20444 + 31.0709i −0.239808 + 1.43167i
\(472\) 9.08480i 0.418162i
\(473\) −7.46115 + 27.8454i −0.343064 + 1.28033i
\(474\) 9.30212 + 4.24097i 0.427261 + 0.194794i
\(475\) −23.0032 + 6.16370i −1.05546 + 0.282810i
\(476\) −2.29150 + 0.883694i −0.105031 + 0.0405040i
\(477\) −3.03104 3.48900i −0.138782 0.159750i
\(478\) 43.3783i 1.98408i
\(479\) −5.36518 20.0231i −0.245141 0.914879i −0.973312 0.229484i \(-0.926296\pi\)
0.728171 0.685395i \(-0.240371\pi\)
\(480\) −16.0251 42.8813i −0.731440 1.95725i
\(481\) −12.2911 22.9994i −0.560424 1.04868i
\(482\) 28.1011i 1.27997i
\(483\) −3.95747 + 11.8826i −0.180071 + 0.540676i
\(484\) −15.9377 27.6049i −0.724441 1.25477i
\(485\) 16.5014 + 28.5813i 0.749291 + 1.29781i
\(486\) −13.5138 26.0091i −0.612998 1.17979i
\(487\) −6.10785 + 6.10785i −0.276773 + 0.276773i −0.831819 0.555046i \(-0.812700\pi\)
0.555046 + 0.831819i \(0.312700\pi\)
\(488\) −0.920757 0.246716i −0.0416807 0.0111683i
\(489\) 23.3815 16.6724i 1.05735 0.753951i
\(490\) 47.7908 10.3129i 2.15897 0.465890i
\(491\) −18.2214 31.5604i −0.822321 1.42430i −0.903950 0.427638i \(-0.859346\pi\)
0.0816292 0.996663i \(-0.473988\pi\)
\(492\) 10.0702 + 14.1226i 0.454001 + 0.636695i
\(493\) −0.0283938 + 0.0163932i −0.00127879 + 0.000738311i
\(494\) −4.16540 17.8710i −0.187410 0.804054i
\(495\) −47.4107 + 41.1877i −2.13095 + 1.85125i
\(496\) 22.4151 + 6.00610i 1.00647 + 0.269682i
\(497\) 3.57832 + 4.90914i 0.160510 + 0.220205i
\(498\) 16.2570 19.7151i 0.728494 0.883454i
\(499\) −9.30967 34.7442i −0.416758 1.55536i −0.781288 0.624171i \(-0.785437\pi\)
0.364530 0.931192i \(-0.381230\pi\)
\(500\) −15.3178 15.3178i −0.685033 0.685033i
\(501\) −8.40231 11.7835i −0.375387 0.526447i
\(502\) 28.0685 7.52093i 1.25276 0.335675i
\(503\) 11.3014 + 6.52484i 0.503903 + 0.290928i 0.730324 0.683101i \(-0.239369\pi\)
−0.226421 + 0.974030i \(0.572703\pi\)
\(504\) −1.55151 + 6.75843i −0.0691096 + 0.301045i
\(505\) 4.37233 16.3178i 0.194566 0.726131i
\(506\) 14.4802 25.0805i 0.643725 1.11496i
\(507\) 6.48237 + 21.5634i 0.287892 + 0.957663i
\(508\) 2.98724 + 5.17405i 0.132537 + 0.229561i
\(509\) 14.0216 + 14.0216i 0.621497 + 0.621497i 0.945914 0.324417i \(-0.105168\pi\)
−0.324417 + 0.945914i \(0.605168\pi\)
\(510\) −2.56036 6.85123i −0.113374 0.303377i
\(511\) 10.4686 1.11667i 0.463102 0.0493986i
\(512\) 17.8903 + 17.8903i 0.790647 + 0.790647i
\(513\) 9.68623 10.1976i 0.427657 0.450237i
\(514\) 11.3520 + 11.3520i 0.500717 + 0.500717i
\(515\) 24.7137 + 6.62203i 1.08902 + 0.291801i
\(516\) 12.7423 4.76191i 0.560950 0.209631i
\(517\) −10.4154 + 6.01333i −0.458069 + 0.264466i
\(518\) 33.5704 12.9461i 1.47500 0.568819i
\(519\) 6.77563 40.4509i 0.297417 1.77560i
\(520\) −8.54058 + 7.99783i −0.374529 + 0.350728i
\(521\) −34.8757 + 20.1355i −1.52793 + 0.882151i −0.528482 + 0.848944i \(0.677239\pi\)
−0.999448 + 0.0332069i \(0.989428\pi\)
\(522\) 0.0214326 0.305139i 0.000938081 0.0133556i
\(523\) −9.65007 −0.421968 −0.210984 0.977489i \(-0.567667\pi\)
−0.210984 + 0.977489i \(0.567667\pi\)
\(524\) −0.906610 + 1.57029i −0.0396054 + 0.0685986i
\(525\) 8.09326 + 39.4981i 0.353219 + 1.72384i
\(526\) −6.12916 22.8743i −0.267244 0.997369i
\(527\) 2.87523 + 0.770416i 0.125247 + 0.0335599i
\(528\) 19.0860 41.8631i 0.830610 1.82186i
\(529\) −15.5306 −0.675244
\(530\) 10.7600 0.467384
\(531\) −25.8578 17.4530i −1.12213 0.757396i
\(532\) 10.9333 1.16624i 0.474019 0.0505631i
\(533\) 12.4201 19.9695i 0.537975 0.864977i
\(534\) −34.2456 28.2389i −1.48195 1.22202i
\(535\) −7.22812 26.9757i −0.312499 1.16626i
\(536\) −3.72712 2.15185i −0.160987 0.0929459i
\(537\) −2.13320 + 0.797193i −0.0920544 + 0.0344014i
\(538\) 22.1121 22.1121i 0.953320 0.953320i
\(539\) 33.1516 + 21.3834i 1.42794 + 0.921046i
\(540\) 28.8130 + 6.93160i 1.23992 + 0.298289i
\(541\) 10.4810 2.80838i 0.450615 0.120742i −0.0263722 0.999652i \(-0.508396\pi\)
0.476987 + 0.878910i \(0.341729\pi\)
\(542\) 43.9948i 1.88974i
\(543\) −1.23869 + 1.50218i −0.0531574 + 0.0644647i
\(544\) 3.04181 + 3.04181i 0.130416 + 0.130416i
\(545\) −29.9706 −1.28380
\(546\) −30.6228 + 5.23450i −1.31053 + 0.224016i
\(547\) −6.62360 −0.283205 −0.141602 0.989924i \(-0.545225\pi\)
−0.141602 + 0.989924i \(0.545225\pi\)
\(548\) −5.59961 5.59961i −0.239204 0.239204i
\(549\) 2.47111 2.14675i 0.105464 0.0916212i
\(550\) 93.2310i 3.97539i
\(551\) 0.141781 0.0379902i 0.00604008 0.00161844i
\(552\) 4.11656 0.395734i 0.175212 0.0168436i
\(553\) 8.20516 + 1.28656i 0.348919 + 0.0547100i
\(554\) −25.0845 + 25.0845i −1.06574 + 1.06574i
\(555\) 16.2898 + 43.5896i 0.691462 + 1.85028i
\(556\) −13.2425 7.64558i −0.561608 0.324245i
\(557\) −6.61083 24.6720i −0.280110 1.04538i −0.952339 0.305041i \(-0.901330\pi\)
0.672229 0.740343i \(-0.265337\pi\)
\(558\) −20.9652 + 18.2134i −0.887528 + 0.771033i
\(559\) −12.6065 13.4620i −0.533199 0.569383i
\(560\) −27.2858 37.4337i −1.15303 1.58186i
\(561\) 2.44820 5.36987i 0.103363 0.226716i
\(562\) 17.3115 0.730240
\(563\) −32.9124 −1.38709 −0.693547 0.720411i \(-0.743953\pi\)
−0.693547 + 0.720411i \(0.743953\pi\)
\(564\) 5.16374 + 2.35422i 0.217433 + 0.0991306i
\(565\) −65.7255 17.6111i −2.76509 0.740904i
\(566\) 4.32703 + 16.1487i 0.181879 + 0.678780i
\(567\) −16.2557 17.3998i −0.682675 0.730722i
\(568\) 1.00297 1.73719i 0.0420835 0.0728908i
\(569\) −10.0571 −0.421614 −0.210807 0.977528i \(-0.567609\pi\)
−0.210807 + 0.977528i \(0.567609\pi\)
\(570\) 3.13335 + 32.5942i 0.131242 + 1.36522i
\(571\) 6.98744 4.03420i 0.292415 0.168826i −0.346615 0.938007i \(-0.612669\pi\)
0.639031 + 0.769181i \(0.279336\pi\)
\(572\) 31.1814 + 1.02331i 1.30376 + 0.0427867i
\(573\) 30.8844 + 5.17321i 1.29021 + 0.216114i
\(574\) 25.2476 + 20.3805i 1.05381 + 0.850665i
\(575\) 20.8243 12.0229i 0.868434 0.501391i
\(576\) −11.6373 + 2.25831i −0.484887 + 0.0940962i
\(577\) 20.5995 + 5.51963i 0.857570 + 0.229785i 0.660705 0.750646i \(-0.270257\pi\)
0.196865 + 0.980431i \(0.436924\pi\)
\(578\) −22.1162 22.1162i −0.919914 0.919914i
\(579\) −34.9494 15.9339i −1.45245 0.662191i
\(580\) 0.218694 + 0.218694i 0.00908077 + 0.00908077i
\(581\) 8.41435 18.9779i 0.349086 0.787336i
\(582\) 27.1038 10.1289i 1.12349 0.419856i
\(583\) 6.13922 + 6.13922i 0.254260 + 0.254260i
\(584\) −1.73817 3.01060i −0.0719261 0.124580i
\(585\) −6.35649 39.6736i −0.262808 1.64030i
\(586\) −8.28769 + 14.3547i −0.342361 + 0.592987i
\(587\) 1.34299 5.01211i 0.0554312 0.206872i −0.932656 0.360767i \(-0.882515\pi\)
0.988087 + 0.153895i \(0.0491817\pi\)
\(588\) −0.866648 18.5951i −0.0357400 0.766851i
\(589\) −11.5410 6.66318i −0.475537 0.274551i
\(590\) 70.1553 18.7981i 2.88825 0.773904i
\(591\) 0.324529 0.231409i 0.0133494 0.00951887i
\(592\) −24.1054 24.1054i −0.990726 0.990726i
\(593\) −3.31943 12.3883i −0.136313 0.508726i −0.999989 0.00467892i \(-0.998511\pi\)
0.863676 0.504047i \(-0.168156\pi\)
\(594\) 28.7475 + 46.9607i 1.17952 + 1.92682i
\(595\) −3.50001 4.80170i −0.143486 0.196851i
\(596\) −26.4188 7.07889i −1.08216 0.289963i
\(597\) 22.3305 27.0805i 0.913926 1.10833i
\(598\) 8.73277 + 16.3411i 0.357110 + 0.668236i
\(599\) 10.4916 6.05735i 0.428677 0.247497i −0.270106 0.962831i \(-0.587059\pi\)
0.698783 + 0.715334i \(0.253725\pi\)
\(600\) 10.8398 7.72940i 0.442532 0.315552i
\(601\) −0.436511 0.756059i −0.0178057 0.0308403i 0.856985 0.515341i \(-0.172335\pi\)
−0.874791 + 0.484501i \(0.839001\pi\)
\(602\) 20.5636 14.9890i 0.838109 0.610905i
\(603\) 13.2850 6.47442i 0.541007 0.263659i
\(604\) −14.4822 3.88049i −0.589272 0.157895i
\(605\) 54.5307 54.5307i 2.21699 2.21699i
\(606\) −13.4764 6.14408i −0.547442 0.249586i
\(607\) −11.6161 20.1197i −0.471483 0.816633i 0.527984 0.849254i \(-0.322948\pi\)
−0.999468 + 0.0326210i \(0.989615\pi\)
\(608\) −9.62940 16.6786i −0.390524 0.676407i
\(609\) −0.0498831 0.243448i −0.00202136 0.00986501i
\(610\) 7.62084i 0.308559i
\(611\) 0.252376 7.69020i 0.0102101 0.311112i
\(612\) −2.73383 + 0.530521i −0.110508 + 0.0214450i
\(613\) 10.9360 + 40.8135i 0.441699 + 1.64844i 0.724508 + 0.689267i \(0.242067\pi\)
−0.282809 + 0.959176i \(0.591266\pi\)
\(614\) 32.9503i 1.32977i
\(615\) −26.6976 + 32.3766i −1.07655 + 1.30555i
\(616\) 2.01786 12.8691i 0.0813019 0.518512i
\(617\) −14.4574 + 3.87384i −0.582031 + 0.155955i −0.537809 0.843067i \(-0.680748\pi\)
−0.0442226 + 0.999022i \(0.514081\pi\)
\(618\) 9.30540 20.4104i 0.374318 0.821028i
\(619\) −7.32553 + 27.3392i −0.294438 + 1.09886i 0.647225 + 0.762299i \(0.275929\pi\)
−0.941663 + 0.336558i \(0.890737\pi\)
\(620\) 28.0794i 1.12770i
\(621\) −6.78203 + 12.4771i −0.272154 + 0.500688i
\(622\) −12.3547 + 46.1084i −0.495379 + 1.84878i
\(623\) −32.9651 14.6159i −1.32072 0.585576i
\(624\) 16.2940 + 24.5138i 0.652283 + 0.981339i
\(625\) 4.20916 7.29047i 0.168366 0.291619i
\(626\) 34.1791 9.15825i 1.36607 0.366037i
\(627\) −16.8092 + 20.3847i −0.671293 + 0.814086i
\(628\) −24.1849 + 13.9631i −0.965081 + 0.557190i
\(629\) −3.09205 3.09205i −0.123288 0.123288i
\(630\) 55.4008 2.00324i 2.20722 0.0798108i
\(631\) −30.8679 + 8.27103i −1.22883 + 0.329264i −0.814124 0.580690i \(-0.802783\pi\)
−0.414707 + 0.909955i \(0.636116\pi\)
\(632\) −0.709801 2.64901i −0.0282344 0.105372i
\(633\) 5.05876 30.2011i 0.201067 1.20039i
\(634\) −20.2839 11.7109i −0.805576 0.465099i
\(635\) −10.2208 + 10.2208i −0.405601 + 0.405601i
\(636\) 0.676810 4.04060i 0.0268373 0.160220i
\(637\) −22.8185 + 10.7851i −0.904100 + 0.427321i
\(638\) 0.574633i 0.0227499i
\(639\) 3.01769 + 6.19206i 0.119378 + 0.244954i
\(640\) −12.6305 + 21.8766i −0.499264 + 0.864750i
\(641\) 12.5013 0.493773 0.246886 0.969044i \(-0.420593\pi\)
0.246886 + 0.969044i \(0.420593\pi\)
\(642\) −24.3723 + 2.34297i −0.961899 + 0.0924695i
\(643\) 6.61108 + 24.6729i 0.260716 + 0.973004i 0.964821 + 0.262908i \(0.0846817\pi\)
−0.704105 + 0.710096i \(0.748652\pi\)
\(644\) −10.3585 + 3.99465i −0.408182 + 0.157411i
\(645\) 19.1072 + 26.7961i 0.752344 + 1.05509i
\(646\) −1.53851 2.66478i −0.0605318 0.104844i
\(647\) −10.5450 + 18.2645i −0.414566 + 0.718050i −0.995383 0.0959848i \(-0.969400\pi\)
0.580817 + 0.814034i \(0.302733\pi\)
\(648\) −3.07669 + 7.23573i −0.120864 + 0.284246i
\(649\) 50.7532 + 29.3024i 1.99224 + 1.15022i
\(650\) 50.6496 + 31.5016i 1.98664 + 1.23560i
\(651\) −12.4265 + 18.8313i −0.487032 + 0.738056i
\(652\) 24.5886 + 6.58849i 0.962963 + 0.258025i
\(653\) 9.35440i 0.366066i −0.983107 0.183033i \(-0.941409\pi\)
0.983107 0.183033i \(-0.0585915\pi\)
\(654\) −4.34084 + 25.9151i −0.169740 + 1.01336i
\(655\) −4.23735 1.13540i −0.165567 0.0443636i
\(656\) 7.95676 29.6950i 0.310659 1.15940i
\(657\) 11.9082 + 0.836423i 0.464585 + 0.0326320i
\(658\) 10.4880 + 1.64450i 0.408864 + 0.0641093i
\(659\) 8.23487 + 4.75440i 0.320785 + 0.185205i 0.651742 0.758440i \(-0.274038\pi\)
−0.330958 + 0.943646i \(0.607372\pi\)
\(660\) −54.9063 9.19693i −2.13722 0.357990i
\(661\) −46.8199 + 12.5454i −1.82108 + 0.487958i −0.996922 0.0783963i \(-0.975020\pi\)
−0.824162 + 0.566354i \(0.808353\pi\)
\(662\) 29.2855 + 50.7239i 1.13821 + 1.97144i
\(663\) 2.09007 + 3.14444i 0.0811716 + 0.122120i
\(664\) −6.85486 −0.266020
\(665\) 9.57160 + 24.8200i 0.371171 + 0.962479i
\(666\) 40.0505 7.77212i 1.55193 0.301164i
\(667\) −0.128351 + 0.0741037i −0.00496979 + 0.00286931i
\(668\) 3.32037 12.3918i 0.128469 0.479453i
\(669\) 6.58553 + 9.23561i 0.254611 + 0.357069i
\(670\) −8.90513 + 33.2344i −0.344035 + 1.28396i
\(671\) −4.34814 + 4.34814i −0.167858 + 0.167858i
\(672\) −29.1595 + 14.5891i −1.12485 + 0.562787i
\(673\) 9.99482 5.77051i 0.385272 0.222437i −0.294838 0.955547i \(-0.595266\pi\)
0.680110 + 0.733110i \(0.261932\pi\)
\(674\) −35.3881 + 35.3881i −1.36310 + 1.36310i
\(675\) 1.17544 + 45.7021i 0.0452427 + 1.75907i
\(676\) −11.0917 + 16.5941i −0.426605 + 0.638236i
\(677\) 38.2430 + 22.0796i 1.46980 + 0.848587i 0.999426 0.0338820i \(-0.0107870\pi\)
0.470370 + 0.882469i \(0.344120\pi\)
\(678\) −24.7474 + 54.2810i −0.950420 + 2.08465i
\(679\) 18.9958 13.8462i 0.728990 0.531368i
\(680\) −0.981016 + 1.69917i −0.0376202 + 0.0651602i
\(681\) 2.47924 + 25.7899i 0.0950047 + 0.988270i
\(682\) 36.8903 36.8903i 1.41260 1.41260i
\(683\) −20.8909 + 20.8909i −0.799370 + 0.799370i −0.982996 0.183626i \(-0.941216\pi\)
0.183626 + 0.982996i \(0.441216\pi\)
\(684\) 12.4369 + 0.873555i 0.475537 + 0.0334012i
\(685\) 9.57952 16.5922i 0.366014 0.633956i
\(686\) −10.9145 33.0682i −0.416716 1.26255i
\(687\) 4.36034 + 1.98794i 0.166357 + 0.0758447i
\(688\) −20.8798 12.0550i −0.796037 0.459592i
\(689\) −5.40961 + 1.26088i −0.206090 + 0.0480358i
\(690\) −11.5738 30.9703i −0.440609 1.17902i
\(691\) 20.0104 20.0104i 0.761233 0.761233i −0.215312 0.976545i \(-0.569077\pi\)
0.976545 + 0.215312i \(0.0690770\pi\)
\(692\) 31.4861 18.1785i 1.19692 0.691044i
\(693\) 32.7524 + 30.4665i 1.24416 + 1.15733i
\(694\) 0.291658 0.291658i 0.0110712 0.0110712i
\(695\) 9.57496 35.7342i 0.363199 1.35548i
\(696\) −0.0668114 + 0.0476404i −0.00253248 + 0.00180581i
\(697\) 1.02063 3.80905i 0.0386592 0.144278i
\(698\) 5.31393 3.06800i 0.201135 0.116125i
\(699\) 2.00461 0.749139i 0.0758214 0.0283350i
\(700\) −22.4491 + 27.8102i −0.848497 + 1.05113i
\(701\) 12.9133 0.487729 0.243865 0.969809i \(-0.421585\pi\)
0.243865 + 0.969809i \(0.421585\pi\)
\(702\) −35.2257 0.249832i −1.32951 0.00942931i
\(703\) 9.78846 + 16.9541i 0.369179 + 0.639436i
\(704\) 21.5104 5.76368i 0.810702 0.217227i
\(705\) −2.26822 + 13.5414i −0.0854261 + 0.509999i
\(706\) −19.2597 11.1196i −0.724848 0.418491i
\(707\) −11.8872 1.86390i −0.447064 0.0700990i
\(708\) −2.64625 27.5272i −0.0994523 1.03454i
\(709\) 5.97345 22.2932i 0.224337 0.837239i −0.758331 0.651869i \(-0.773985\pi\)
0.982669 0.185370i \(-0.0593482\pi\)
\(710\) −15.4904 4.15063i −0.581343 0.155770i
\(711\) 8.90342 + 3.06879i 0.333904 + 0.115089i
\(712\) 11.9071i 0.446237i
\(713\) 12.9972 + 3.48259i 0.486749 + 0.130424i
\(714\) −4.65888 + 2.33093i −0.174354 + 0.0872330i
\(715\) 17.1337 + 73.5093i 0.640763 + 2.74909i
\(716\) −1.74824 1.00935i −0.0653348 0.0377210i
\(717\) 3.82374 + 39.7758i 0.142800 + 1.48545i
\(718\) −33.1682 + 57.4491i −1.23783 + 2.14398i
\(719\) 3.19930 + 5.54135i 0.119314 + 0.206658i 0.919496 0.393100i \(-0.128597\pi\)
−0.800182 + 0.599757i \(0.795264\pi\)
\(720\) −23.0108 47.2164i −0.857562 1.75965i
\(721\) 2.82293 18.0035i 0.105131 0.670486i
\(722\) −5.68088 21.2013i −0.211420 0.789032i
\(723\) −2.47707 25.7673i −0.0921232 0.958296i
\(724\) −1.72593 −0.0641436
\(725\) −0.238559 + 0.413196i −0.00885984 + 0.0153457i
\(726\) −39.2538 55.0498i −1.45684 2.04309i
\(727\) 8.03354i 0.297948i −0.988841 0.148974i \(-0.952403\pi\)
0.988841 0.148974i \(-0.0475970\pi\)
\(728\) 6.30959 + 5.44456i 0.233849 + 0.201789i
\(729\) −14.6841 22.6578i −0.543857 0.839178i
\(730\) −19.6521 + 19.6521i −0.727358 + 0.727358i
\(731\) −2.67830 1.54632i −0.0990606 0.0571927i
\(732\) 2.86179 + 0.479356i 0.105775 + 0.0177175i
\(733\) 7.91986 + 29.5573i 0.292527 + 1.09172i 0.943162 + 0.332334i \(0.107836\pi\)
−0.650635 + 0.759390i \(0.725497\pi\)
\(734\) 4.20411 1.12649i 0.155176 0.0415794i
\(735\) 42.9127 13.6691i 1.58286 0.504193i
\(736\) 13.7502 + 13.7502i 0.506839 + 0.506839i
\(737\) −24.0431 + 13.8813i −0.885640 + 0.511324i
\(738\) 24.1287 + 27.7743i 0.888189 + 1.02239i
\(739\) 47.6673 12.7724i 1.75347 0.469841i 0.768109 0.640319i \(-0.221198\pi\)
0.985361 + 0.170479i \(0.0545314\pi\)
\(740\) −20.6249 + 35.7233i −0.758185 + 1.31322i
\(741\) −5.39477 16.0196i −0.198182 0.588496i
\(742\) −0.812885 7.62064i −0.0298420 0.279763i
\(743\) 2.06764 7.71653i 0.0758543 0.283092i −0.917571 0.397571i \(-0.869853\pi\)
0.993426 + 0.114479i \(0.0365199\pi\)
\(744\) 7.34758 + 1.23074i 0.269375 + 0.0451210i
\(745\) 66.1713i 2.42433i
\(746\) −6.23783 + 23.2799i −0.228383 + 0.852338i
\(747\) 13.1690 19.5108i 0.481829 0.713863i
\(748\) 5.05320 1.35400i 0.184763 0.0495072i
\(749\) −18.5592 + 7.15717i −0.678138 + 0.261517i
\(750\) −35.4509 29.2327i −1.29448 1.06743i
\(751\) 4.38879i 0.160149i 0.996789 + 0.0800746i \(0.0255159\pi\)
−0.996789 + 0.0800746i \(0.974484\pi\)
\(752\) −2.60333 9.71575i −0.0949336 0.354297i
\(753\) 25.0744 9.37051i 0.913764 0.341480i
\(754\) −0.312180 0.194161i −0.0113689 0.00707094i
\(755\) 36.2736i 1.32013i
\(756\) 2.73249 20.9302i 0.0993797 0.761223i
\(757\) −15.7004 27.1939i −0.570641 0.988379i −0.996500 0.0835899i \(-0.973361\pi\)
0.425859 0.904789i \(-0.359972\pi\)
\(758\) 10.1516 + 17.5831i 0.368723 + 0.638647i
\(759\) 11.0668 24.2740i 0.401701 0.881090i
\(760\) 6.21117 6.21117i 0.225303 0.225303i
\(761\) 23.6730 + 6.34317i 0.858147 + 0.229940i 0.660955 0.750425i \(-0.270151\pi\)
0.197191 + 0.980365i \(0.436818\pi\)
\(762\) 7.35741 + 10.3181i 0.266531 + 0.373785i
\(763\) 2.26419 + 21.2264i 0.0819693 + 0.768446i
\(764\) 13.8793 + 24.0397i 0.502137 + 0.869727i
\(765\) −2.95165 6.05654i −0.106717 0.218975i
\(766\) 19.3358 11.1635i 0.698630 0.403354i
\(767\) −33.0680 + 17.6718i −1.19402 + 0.638090i
\(768\) 27.6479 + 22.7983i 0.997656 + 0.822664i
\(769\) −38.5907 10.3404i −1.39162 0.372883i −0.516290 0.856414i \(-0.672687\pi\)
−0.875327 + 0.483531i \(0.839354\pi\)
\(770\) −103.554 + 11.0460i −3.73183 + 0.398070i
\(771\) 11.4099 + 9.40859i 0.410918 + 0.338842i
\(772\) −8.81242 32.8884i −0.317166 1.18368i
\(773\) −0.375752 0.375752i −0.0135148 0.0135148i 0.700317 0.713832i \(-0.253042\pi\)
−0.713832 + 0.700317i \(0.753042\pi\)
\(774\)