Properties

Label 546.2.bv.a.317.31
Level $546$
Weight $2$
Character 546.317
Analytic conductor $4.360$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bv (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(36\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 317.31
Character \(\chi\) \(=\) 546.317
Dual form 546.2.bv.a.515.31

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 - 0.258819i) q^{2} +(1.26037 + 1.18805i) q^{3} +(0.866025 - 0.500000i) q^{4} +(1.89818 - 0.508616i) q^{5} +(1.52492 + 0.821356i) q^{6} +(1.71379 + 2.01567i) q^{7} +(0.707107 - 0.707107i) q^{8} +(0.177090 + 2.99477i) q^{9} +O(q^{10})\) \(q+(0.965926 - 0.258819i) q^{2} +(1.26037 + 1.18805i) q^{3} +(0.866025 - 0.500000i) q^{4} +(1.89818 - 0.508616i) q^{5} +(1.52492 + 0.821356i) q^{6} +(1.71379 + 2.01567i) q^{7} +(0.707107 - 0.707107i) q^{8} +(0.177090 + 2.99477i) q^{9} +(1.70186 - 0.982571i) q^{10} +(-2.87835 - 0.771252i) q^{11} +(1.68554 + 0.398691i) q^{12} +(-3.35607 + 1.31786i) q^{13} +(2.17709 + 1.50343i) q^{14} +(2.99668 + 1.61408i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-1.01939 - 1.76563i) q^{17} +(0.946159 + 2.84689i) q^{18} +(-1.12940 - 4.21497i) q^{19} +(1.38957 - 1.38957i) q^{20} +(-0.234697 + 4.57656i) q^{21} -2.97989 q^{22} +(1.60906 - 2.78697i) q^{23} +(1.73130 - 0.0511439i) q^{24} +(-0.985722 + 0.569107i) q^{25} +(-2.90063 + 2.14157i) q^{26} +(-3.33472 + 3.98492i) q^{27} +(2.49202 + 0.888729i) q^{28} -6.15008i q^{29} +(3.31233 + 0.783485i) q^{30} +(-2.95519 - 0.791840i) q^{31} +(0.258819 - 0.965926i) q^{32} +(-2.71152 - 4.39168i) q^{33} +(-1.44163 - 1.44163i) q^{34} +(4.27828 + 2.95445i) q^{35} +(1.65075 + 2.50500i) q^{36} +(3.92765 - 1.05241i) q^{37} +(-2.18183 - 3.77904i) q^{38} +(-5.79559 - 2.32617i) q^{39} +(0.982571 - 1.70186i) q^{40} +(7.22551 + 7.22551i) q^{41} +(0.957802 + 4.48136i) q^{42} -1.92779i q^{43} +(-2.87835 + 0.771252i) q^{44} +(1.85934 + 5.59455i) q^{45} +(0.832911 - 3.10846i) q^{46} +(-0.203159 - 0.758199i) q^{47} +(1.65907 - 0.497493i) q^{48} +(-1.12586 + 6.90887i) q^{49} +(-0.804839 + 0.804839i) q^{50} +(0.812842 - 3.43644i) q^{51} +(-2.24751 + 2.81934i) q^{52} +(3.77663 - 2.18044i) q^{53} +(-2.18972 + 4.71223i) q^{54} -5.85591 q^{55} +(2.63713 + 0.213464i) q^{56} +(3.58412 - 6.65422i) q^{57} +(-1.59176 - 5.94052i) q^{58} +(2.58491 + 0.692626i) q^{59} +(3.40224 - 0.100505i) q^{60} +(2.72566 - 4.72098i) q^{61} -3.05944 q^{62} +(-5.73297 + 5.48935i) q^{63} -1.00000i q^{64} +(-5.70016 + 4.20850i) q^{65} +(-3.75578 - 3.54025i) q^{66} +(-0.655866 - 0.175739i) q^{67} +(-1.76563 - 1.01939i) q^{68} +(5.33907 - 1.60099i) q^{69} +(4.89717 + 1.74648i) q^{70} +(-7.64671 - 7.64671i) q^{71} +(2.24284 + 1.99240i) q^{72} +(-3.05864 + 11.4150i) q^{73} +(3.52144 - 2.03310i) q^{74} +(-1.91850 - 0.453796i) q^{75} +(-3.08557 - 3.08557i) q^{76} +(-3.37829 - 7.12357i) q^{77} +(-6.20017 - 0.746900i) q^{78} +(-4.89586 + 8.47987i) q^{79} +(0.508616 - 1.89818i) q^{80} +(-8.93728 + 1.06069i) q^{81} +(8.84941 + 5.10921i) q^{82} +(-4.83395 - 4.83395i) q^{83} +(2.08503 + 4.08077i) q^{84} +(-2.83301 - 2.83301i) q^{85} +(-0.498949 - 1.86210i) q^{86} +(7.30659 - 7.75141i) q^{87} +(-2.58066 + 1.48994i) q^{88} +(3.24426 + 12.1077i) q^{89} +(3.24396 + 4.92268i) q^{90} +(-8.40798 - 4.50621i) q^{91} -3.21812i q^{92} +(-2.78390 - 4.50892i) q^{93} +(-0.392473 - 0.679782i) q^{94} +(-4.28760 - 7.42635i) q^{95} +(1.47377 - 0.909940i) q^{96} +(7.26398 - 7.26398i) q^{97} +(0.700646 + 6.96485i) q^{98} +(1.79999 - 8.75658i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144q - 16q^{7} + O(q^{10}) \) \( 144q - 16q^{7} + 72q^{16} + 16q^{18} + 8q^{19} + 8q^{21} + 24q^{27} - 8q^{28} - 8q^{31} + 12q^{33} - 8q^{37} + 16q^{39} - 40q^{45} + 8q^{46} + 8q^{52} - 12q^{54} - 32q^{55} + 16q^{57} + 8q^{58} - 32q^{61} - 40q^{63} - 32q^{66} - 8q^{67} + 16q^{72} + 80q^{73} - 16q^{76} + 16q^{78} - 112q^{79} - 48q^{81} + 16q^{84} - 80q^{85} + 96q^{87} - 32q^{91} + 36q^{93} - 64q^{94} - 144q^{97} - 32q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(-1\) \(e\left(\frac{3}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 0.258819i 0.683013 0.183013i
\(3\) 1.26037 + 1.18805i 0.727678 + 0.685919i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) 1.89818 0.508616i 0.848893 0.227460i 0.191954 0.981404i \(-0.438518\pi\)
0.656939 + 0.753944i \(0.271851\pi\)
\(6\) 1.52492 + 0.821356i 0.622545 + 0.335317i
\(7\) 1.71379 + 2.01567i 0.647751 + 0.761852i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) 0.177090 + 2.99477i 0.0590301 + 0.998256i
\(10\) 1.70186 0.982571i 0.538177 0.310716i
\(11\) −2.87835 0.771252i −0.867856 0.232541i −0.202695 0.979242i \(-0.564970\pi\)
−0.665160 + 0.746701i \(0.731637\pi\)
\(12\) 1.68554 + 0.398691i 0.486574 + 0.115092i
\(13\) −3.35607 + 1.31786i −0.930808 + 0.365509i
\(14\) 2.17709 + 1.50343i 0.581851 + 0.401808i
\(15\) 2.99668 + 1.61408i 0.773740 + 0.416754i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −1.01939 1.76563i −0.247238 0.428229i 0.715520 0.698592i \(-0.246190\pi\)
−0.962758 + 0.270363i \(0.912856\pi\)
\(18\) 0.946159 + 2.84689i 0.223012 + 0.671018i
\(19\) −1.12940 4.21497i −0.259102 0.966980i −0.965762 0.259428i \(-0.916466\pi\)
0.706661 0.707552i \(-0.250201\pi\)
\(20\) 1.38957 1.38957i 0.310716 0.310716i
\(21\) −0.234697 + 4.57656i −0.0512150 + 0.998688i
\(22\) −2.97989 −0.635314
\(23\) 1.60906 2.78697i 0.335512 0.581124i −0.648071 0.761580i \(-0.724424\pi\)
0.983583 + 0.180456i \(0.0577573\pi\)
\(24\) 1.73130 0.0511439i 0.353399 0.0104397i
\(25\) −0.985722 + 0.569107i −0.197144 + 0.113821i
\(26\) −2.90063 + 2.14157i −0.568861 + 0.419997i
\(27\) −3.33472 + 3.98492i −0.641768 + 0.766899i
\(28\) 2.49202 + 0.888729i 0.470947 + 0.167954i
\(29\) 6.15008i 1.14204i −0.820935 0.571021i \(-0.806548\pi\)
0.820935 0.571021i \(-0.193452\pi\)
\(30\) 3.31233 + 0.783485i 0.604745 + 0.143044i
\(31\) −2.95519 0.791840i −0.530767 0.142219i −0.0165248 0.999863i \(-0.505260\pi\)
−0.514243 + 0.857645i \(0.671927\pi\)
\(32\) 0.258819 0.965926i 0.0457532 0.170753i
\(33\) −2.71152 4.39168i −0.472015 0.764494i
\(34\) −1.44163 1.44163i −0.247238 0.247238i
\(35\) 4.27828 + 2.95445i 0.723162 + 0.499393i
\(36\) 1.65075 + 2.50500i 0.275125 + 0.417500i
\(37\) 3.92765 1.05241i 0.645702 0.173015i 0.0789171 0.996881i \(-0.474854\pi\)
0.566785 + 0.823866i \(0.308187\pi\)
\(38\) −2.18183 3.77904i −0.353939 0.613041i
\(39\) −5.79559 2.32617i −0.928038 0.372486i
\(40\) 0.982571 1.70186i 0.155358 0.269088i
\(41\) 7.22551 + 7.22551i 1.12844 + 1.12844i 0.990432 + 0.138004i \(0.0440687\pi\)
0.138004 + 0.990432i \(0.455931\pi\)
\(42\) 0.957802 + 4.48136i 0.147792 + 0.691489i
\(43\) 1.92779i 0.293985i −0.989138 0.146993i \(-0.953041\pi\)
0.989138 0.146993i \(-0.0469594\pi\)
\(44\) −2.87835 + 0.771252i −0.433928 + 0.116271i
\(45\) 1.85934 + 5.59455i 0.277174 + 0.833986i
\(46\) 0.832911 3.10846i 0.122806 0.458318i
\(47\) −0.203159 0.758199i −0.0296338 0.110595i 0.949525 0.313692i \(-0.101566\pi\)
−0.979159 + 0.203097i \(0.934899\pi\)
\(48\) 1.65907 0.497493i 0.239466 0.0718070i
\(49\) −1.12586 + 6.90887i −0.160838 + 0.986981i
\(50\) −0.804839 + 0.804839i −0.113821 + 0.113821i
\(51\) 0.812842 3.43644i 0.113821 0.481198i
\(52\) −2.24751 + 2.81934i −0.311674 + 0.390972i
\(53\) 3.77663 2.18044i 0.518759 0.299506i −0.217667 0.976023i \(-0.569845\pi\)
0.736427 + 0.676517i \(0.236512\pi\)
\(54\) −2.18972 + 4.71223i −0.297984 + 0.641253i
\(55\) −5.85591 −0.789610
\(56\) 2.63713 + 0.213464i 0.352401 + 0.0285253i
\(57\) 3.58412 6.65422i 0.474728 0.881373i
\(58\) −1.59176 5.94052i −0.209008 0.780029i
\(59\) 2.58491 + 0.692626i 0.336527 + 0.0901722i 0.423125 0.906071i \(-0.360933\pi\)
−0.0865982 + 0.996243i \(0.527600\pi\)
\(60\) 3.40224 0.100505i 0.439228 0.0129751i
\(61\) 2.72566 4.72098i 0.348985 0.604459i −0.637085 0.770794i \(-0.719860\pi\)
0.986069 + 0.166335i \(0.0531932\pi\)
\(62\) −3.05944 −0.388549
\(63\) −5.73297 + 5.48935i −0.722287 + 0.691594i
\(64\) 1.00000i 0.125000i
\(65\) −5.70016 + 4.20850i −0.707017 + 0.522000i
\(66\) −3.75578 3.54025i −0.462304 0.435774i
\(67\) −0.655866 0.175739i −0.0801268 0.0214699i 0.218533 0.975830i \(-0.429873\pi\)
−0.298660 + 0.954360i \(0.596540\pi\)
\(68\) −1.76563 1.01939i −0.214114 0.123619i
\(69\) 5.33907 1.60099i 0.642749 0.192737i
\(70\) 4.89717 + 1.74648i 0.585324 + 0.208744i
\(71\) −7.64671 7.64671i −0.907497 0.907497i 0.0885725 0.996070i \(-0.471769\pi\)
−0.996070 + 0.0885725i \(0.971769\pi\)
\(72\) 2.24284 + 1.99240i 0.264322 + 0.234807i
\(73\) −3.05864 + 11.4150i −0.357986 + 1.33602i 0.518698 + 0.854957i \(0.326417\pi\)
−0.876685 + 0.481066i \(0.840250\pi\)
\(74\) 3.52144 2.03310i 0.409359 0.236343i
\(75\) −1.91850 0.453796i −0.221530 0.0523998i
\(76\) −3.08557 3.08557i −0.353939 0.353939i
\(77\) −3.37829 7.12357i −0.384992 0.811806i
\(78\) −6.20017 0.746900i −0.702031 0.0845698i
\(79\) −4.89586 + 8.47987i −0.550827 + 0.954060i 0.447388 + 0.894340i \(0.352354\pi\)
−0.998215 + 0.0597205i \(0.980979\pi\)
\(80\) 0.508616 1.89818i 0.0568650 0.212223i
\(81\) −8.93728 + 1.06069i −0.993031 + 0.117854i
\(82\) 8.84941 + 5.10921i 0.977254 + 0.564218i
\(83\) −4.83395 4.83395i −0.530595 0.530595i 0.390154 0.920749i \(-0.372422\pi\)
−0.920749 + 0.390154i \(0.872422\pi\)
\(84\) 2.08503 + 4.08077i 0.227495 + 0.445248i
\(85\) −2.83301 2.83301i −0.307284 0.307284i
\(86\) −0.498949 1.86210i −0.0538030 0.200796i
\(87\) 7.30659 7.75141i 0.783348 0.831039i
\(88\) −2.58066 + 1.48994i −0.275099 + 0.158829i
\(89\) 3.24426 + 12.1077i 0.343890 + 1.28342i 0.893903 + 0.448260i \(0.147956\pi\)
−0.550013 + 0.835156i \(0.685377\pi\)
\(90\) 3.24396 + 4.92268i 0.341943 + 0.518896i
\(91\) −8.40798 4.50621i −0.881396 0.472379i
\(92\) 3.21812i 0.335512i
\(93\) −2.78390 4.50892i −0.288677 0.467553i
\(94\) −0.392473 0.679782i −0.0404805 0.0701142i
\(95\) −4.28760 7.42635i −0.439899 0.761927i
\(96\) 1.47377 0.909940i 0.150416 0.0928703i
\(97\) 7.26398 7.26398i 0.737546 0.737546i −0.234557 0.972102i \(-0.575364\pi\)
0.972102 + 0.234557i \(0.0753639\pi\)
\(98\) 0.700646 + 6.96485i 0.0707759 + 0.703556i
\(99\) 1.79999 8.75658i 0.180906 0.880069i
\(100\) −0.569107 + 0.985722i −0.0569107 + 0.0985722i
\(101\) −2.37895 4.12046i −0.236714 0.410001i 0.723055 0.690790i \(-0.242737\pi\)
−0.959769 + 0.280789i \(0.909404\pi\)
\(102\) −0.104271 3.52972i −0.0103244 0.349495i
\(103\) 9.00320 + 5.19800i 0.887112 + 0.512174i 0.872997 0.487726i \(-0.162173\pi\)
0.0141153 + 0.999900i \(0.495507\pi\)
\(104\) −1.44123 + 3.30497i −0.141325 + 0.324079i
\(105\) 1.88222 + 8.80652i 0.183686 + 0.859428i
\(106\) 3.08360 3.08360i 0.299506 0.299506i
\(107\) −12.8840 7.43856i −1.24554 0.719113i −0.275324 0.961352i \(-0.588785\pi\)
−0.970217 + 0.242238i \(0.922118\pi\)
\(108\) −0.895495 + 5.11841i −0.0861690 + 0.492519i
\(109\) 10.5021 + 2.81402i 1.00592 + 0.269535i 0.723922 0.689881i \(-0.242337\pi\)
0.281995 + 0.959416i \(0.409004\pi\)
\(110\) −5.65637 + 1.51562i −0.539314 + 0.144509i
\(111\) 6.20063 + 3.33980i 0.588538 + 0.317000i
\(112\) 2.60252 0.476348i 0.245915 0.0450106i
\(113\) 16.1384i 1.51817i −0.650991 0.759085i \(-0.725647\pi\)
0.650991 0.759085i \(-0.274353\pi\)
\(114\) 1.73975 7.35512i 0.162943 0.688870i
\(115\) 1.63679 6.10858i 0.152631 0.569628i
\(116\) −3.07504 5.32613i −0.285510 0.494519i
\(117\) −4.54102 9.81729i −0.419818 0.907609i
\(118\) 2.67610 0.246355
\(119\) 1.81192 5.08067i 0.166098 0.465744i
\(120\) 3.26030 0.977646i 0.297623 0.0892464i
\(121\) −1.83620 1.06013i −0.166928 0.0963756i
\(122\) 1.41090 5.26556i 0.127737 0.476722i
\(123\) 0.522609 + 17.6911i 0.0471221 + 1.59515i
\(124\) −2.95519 + 0.791840i −0.265384 + 0.0711094i
\(125\) −8.52945 + 8.52945i −0.762897 + 0.762897i
\(126\) −4.11688 + 6.78611i −0.366761 + 0.604555i
\(127\) 7.54690i 0.669679i 0.942275 + 0.334840i \(0.108682\pi\)
−0.942275 + 0.334840i \(0.891318\pi\)
\(128\) −0.258819 0.965926i −0.0228766 0.0853766i
\(129\) 2.29031 2.42974i 0.201650 0.213927i
\(130\) −4.41669 + 5.54041i −0.387369 + 0.485926i
\(131\) −0.524403 0.302764i −0.0458173 0.0264526i 0.476916 0.878949i \(-0.341754\pi\)
−0.522734 + 0.852496i \(0.675088\pi\)
\(132\) −4.54409 2.44755i −0.395512 0.213032i
\(133\) 6.56045 9.50006i 0.568863 0.823759i
\(134\) −0.679003 −0.0586569
\(135\) −4.30312 + 9.26021i −0.370353 + 0.796992i
\(136\) −1.96931 0.527674i −0.168867 0.0452477i
\(137\) −4.50842 1.20803i −0.385181 0.103209i 0.0610320 0.998136i \(-0.480561\pi\)
−0.446213 + 0.894927i \(0.647228\pi\)
\(138\) 4.74278 2.92829i 0.403732 0.249273i
\(139\) 1.20568 0.102265 0.0511323 0.998692i \(-0.483717\pi\)
0.0511323 + 0.998692i \(0.483717\pi\)
\(140\) 5.18233 + 0.419487i 0.437987 + 0.0354532i
\(141\) 0.644719 1.19698i 0.0542952 0.100804i
\(142\) −9.36527 5.40704i −0.785916 0.453749i
\(143\) 10.6764 1.20489i 0.892803 0.100758i
\(144\) 2.68209 + 1.34402i 0.223508 + 0.112002i
\(145\) −3.12803 11.6740i −0.259769 0.969471i
\(146\) 11.8177i 0.978037i
\(147\) −9.62707 + 7.37018i −0.794027 + 0.607883i
\(148\) 2.87524 2.87524i 0.236343 0.236343i
\(149\) −19.1684 + 5.13616i −1.57034 + 0.420771i −0.935918 0.352218i \(-0.885428\pi\)
−0.634420 + 0.772988i \(0.718761\pi\)
\(150\) −1.97058 + 0.0582126i −0.160898 + 0.00475304i
\(151\) −1.85076 + 6.90714i −0.150613 + 0.562095i 0.848828 + 0.528669i \(0.177309\pi\)
−0.999441 + 0.0334265i \(0.989358\pi\)
\(152\) −3.77904 2.18183i −0.306520 0.176970i
\(153\) 5.10714 3.36551i 0.412888 0.272085i
\(154\) −5.10690 6.00648i −0.411525 0.484016i
\(155\) −6.01223 −0.482914
\(156\) −6.18222 + 0.883273i −0.494974 + 0.0707184i
\(157\) 9.36594 + 16.2223i 0.747484 + 1.29468i 0.949025 + 0.315200i \(0.102072\pi\)
−0.201542 + 0.979480i \(0.564595\pi\)
\(158\) −2.53428 + 9.45807i −0.201617 + 0.752444i
\(159\) 7.35042 + 1.73864i 0.582927 + 0.137883i
\(160\) 1.96514i 0.155358i
\(161\) 8.37521 1.53294i 0.660059 0.120813i
\(162\) −8.35822 + 3.33768i −0.656684 + 0.262233i
\(163\) 4.61017 1.23529i 0.361096 0.0967554i −0.0737095 0.997280i \(-0.523484\pi\)
0.434806 + 0.900524i \(0.356817\pi\)
\(164\) 9.87024 + 2.64472i 0.770736 + 0.206518i
\(165\) −7.38064 6.95709i −0.574582 0.541609i
\(166\) −5.92036 3.41812i −0.459509 0.265298i
\(167\) −15.2569 + 15.2569i −1.18061 + 1.18061i −0.201026 + 0.979586i \(0.564428\pi\)
−0.979586 + 0.201026i \(0.935572\pi\)
\(168\) 3.07016 + 3.40207i 0.236868 + 0.262476i
\(169\) 9.52648 8.84569i 0.732806 0.680438i
\(170\) −3.46972 2.00324i −0.266115 0.153642i
\(171\) 12.4229 4.12871i 0.949999 0.315731i
\(172\) −0.963895 1.66952i −0.0734963 0.127299i
\(173\) −3.41329 + 5.91199i −0.259508 + 0.449481i −0.966110 0.258130i \(-0.916894\pi\)
0.706602 + 0.707611i \(0.250227\pi\)
\(174\) 5.05141 9.37837i 0.382946 0.710973i
\(175\) −2.83645 1.01156i −0.214415 0.0764670i
\(176\) −2.10710 + 2.10710i −0.158829 + 0.158829i
\(177\) 2.43509 + 3.94397i 0.183033 + 0.296447i
\(178\) 6.26742 + 10.8555i 0.469763 + 0.813654i
\(179\) 5.31136 + 9.19954i 0.396990 + 0.687606i 0.993353 0.115108i \(-0.0367216\pi\)
−0.596363 + 0.802715i \(0.703388\pi\)
\(180\) 4.40751 + 3.91535i 0.328516 + 0.291833i
\(181\) 19.6947i 1.46390i 0.681359 + 0.731950i \(0.261389\pi\)
−0.681359 + 0.731950i \(0.738611\pi\)
\(182\) −9.28778 2.17652i −0.688456 0.161334i
\(183\) 9.04409 2.71199i 0.668558 0.200476i
\(184\) −0.832911 3.10846i −0.0614030 0.229159i
\(185\) 6.92013 3.99534i 0.508778 0.293743i
\(186\) −3.85604 3.63475i −0.282738 0.266513i
\(187\) 1.57241 + 5.86832i 0.114986 + 0.429134i
\(188\) −0.555040 0.555040i −0.0404805 0.0404805i
\(189\) −13.7473 + 0.107602i −0.999969 + 0.00782691i
\(190\) −6.06359 6.06359i −0.439899 0.439899i
\(191\) −20.9344 12.0865i −1.51476 0.874546i −0.999850 0.0173008i \(-0.994493\pi\)
−0.514908 0.857245i \(-0.672174\pi\)
\(192\) 1.18805 1.26037i 0.0857399 0.0909597i
\(193\) 1.85200 6.91174i 0.133310 0.497518i −0.866690 0.498848i \(-0.833757\pi\)
0.999999 + 0.00132974i \(0.000423269\pi\)
\(194\) 5.13641 8.89652i 0.368773 0.638733i
\(195\) −12.1842 1.46777i −0.872530 0.105109i
\(196\) 2.47941 + 6.54619i 0.177100 + 0.467585i
\(197\) 14.7417 + 14.7417i 1.05030 + 1.05030i 0.998666 + 0.0516350i \(0.0164432\pi\)
0.0516350 + 0.998666i \(0.483557\pi\)
\(198\) −0.527709 8.92408i −0.0375027 0.634207i
\(199\) 3.88217 2.24137i 0.275200 0.158887i −0.356049 0.934467i \(-0.615876\pi\)
0.631248 + 0.775581i \(0.282543\pi\)
\(200\) −0.294591 + 1.09943i −0.0208308 + 0.0777414i
\(201\) −0.617851 1.00070i −0.0435799 0.0705837i
\(202\) −3.36434 3.36434i −0.236714 0.236714i
\(203\) 12.3965 10.5399i 0.870067 0.739759i
\(204\) −1.01428 3.38247i −0.0710137 0.236820i
\(205\) 17.3904 + 10.0403i 1.21460 + 0.701247i
\(206\) 10.0418 + 2.69068i 0.699643 + 0.187469i
\(207\) 8.63129 + 4.32522i 0.599916 + 0.300623i
\(208\) −0.536735 + 3.56538i −0.0372159 + 0.247214i
\(209\) 13.0032i 0.899451i
\(210\) 4.09738 + 8.01929i 0.282746 + 0.553384i
\(211\) −21.2853 −1.46534 −0.732670 0.680584i \(-0.761726\pi\)
−0.732670 + 0.680584i \(0.761726\pi\)
\(212\) 2.18044 3.77663i 0.149753 0.259380i
\(213\) −0.553074 18.7224i −0.0378960 1.28284i
\(214\) −14.3702 3.85048i −0.982327 0.263214i
\(215\) −0.980506 3.65930i −0.0668699 0.249562i
\(216\) 0.459760 + 5.17577i 0.0312827 + 0.352167i
\(217\) −3.46848 7.31373i −0.235455 0.496489i
\(218\) 10.8726 0.736382
\(219\) −17.4166 + 10.7534i −1.17690 + 0.726645i
\(220\) −5.07136 + 2.92795i −0.341911 + 0.197403i
\(221\) 5.74800 + 4.58218i 0.386653 + 0.308231i
\(222\) 6.85375 + 1.62116i 0.459994 + 0.108805i
\(223\) −16.4129 + 16.4129i −1.09909 + 1.09909i −0.104574 + 0.994517i \(0.533348\pi\)
−0.994517 + 0.104574i \(0.966652\pi\)
\(224\) 2.39055 1.13370i 0.159725 0.0757484i
\(225\) −1.87890 2.85123i −0.125260 0.190082i
\(226\) −4.17692 15.5885i −0.277844 1.03693i
\(227\) 1.11711 4.16910i 0.0741449 0.276713i −0.918893 0.394507i \(-0.870916\pi\)
0.993038 + 0.117794i \(0.0375822\pi\)
\(228\) −0.223174 7.55478i −0.0147801 0.500328i
\(229\) 18.4670 4.94822i 1.22033 0.326988i 0.409526 0.912298i \(-0.365694\pi\)
0.810809 + 0.585311i \(0.199027\pi\)
\(230\) 6.32406i 0.416996i
\(231\) 4.20522 12.9919i 0.276683 0.854807i
\(232\) −4.34877 4.34877i −0.285510 0.285510i
\(233\) 7.85397 13.6035i 0.514530 0.891193i −0.485327 0.874332i \(-0.661300\pi\)
0.999858 0.0168603i \(-0.00536707\pi\)
\(234\) −6.92719 8.30747i −0.452845 0.543076i
\(235\) −0.771265 1.33587i −0.0503118 0.0871425i
\(236\) 2.58491 0.692626i 0.168264 0.0450861i
\(237\) −16.2451 + 4.87131i −1.05523 + 0.316426i
\(238\) 0.435206 5.37651i 0.0282102 0.348507i
\(239\) 18.2934 + 18.2934i 1.18330 + 1.18330i 0.978884 + 0.204417i \(0.0655299\pi\)
0.204417 + 0.978884i \(0.434470\pi\)
\(240\) 2.89618 1.78816i 0.186947 0.115425i
\(241\) −7.52585 + 28.0869i −0.484783 + 1.80923i 0.0962542 + 0.995357i \(0.469314\pi\)
−0.581037 + 0.813877i \(0.697353\pi\)
\(242\) −2.04802 0.548765i −0.131652 0.0352759i
\(243\) −12.5245 9.28104i −0.803445 0.595379i
\(244\) 5.45131i 0.348985i
\(245\) 1.37687 + 13.6869i 0.0879649 + 0.874425i
\(246\) 5.08360 + 16.9530i 0.324118 + 1.08089i
\(247\) 9.34509 + 12.6574i 0.594614 + 0.805369i
\(248\) −2.64955 + 1.52972i −0.168247 + 0.0971372i
\(249\) −0.349632 11.8356i −0.0221570 0.750048i
\(250\) −6.03123 + 10.4464i −0.381449 + 0.660689i
\(251\) 29.6402 1.87087 0.935436 0.353497i \(-0.115007\pi\)
0.935436 + 0.353497i \(0.115007\pi\)
\(252\) −2.22023 + 7.62041i −0.139861 + 0.480041i
\(253\) −6.78090 + 6.78090i −0.426311 + 0.426311i
\(254\) 1.95328 + 7.28975i 0.122560 + 0.457399i
\(255\) −0.204907 6.93641i −0.0128318 0.434375i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 14.7359 25.5233i 0.919199 1.59210i 0.118564 0.992946i \(-0.462171\pi\)
0.800635 0.599153i \(-0.204496\pi\)
\(258\) 1.58340 2.93972i 0.0985783 0.183019i
\(259\) 8.85248 + 6.11325i 0.550066 + 0.379859i
\(260\) −2.83223 + 6.49474i −0.175647 + 0.402787i
\(261\) 18.4181 1.08912i 1.14005 0.0674148i
\(262\) −0.584896 0.156722i −0.0361350 0.00968234i
\(263\) 14.8496 8.57339i 0.915663 0.528658i 0.0334138 0.999442i \(-0.489362\pi\)
0.882249 + 0.470784i \(0.156029\pi\)
\(264\) −5.02272 1.18806i −0.309127 0.0731197i
\(265\) 6.05972 6.05972i 0.372246 0.372246i
\(266\) 3.87811 10.8743i 0.237782 0.666747i
\(267\) −10.2956 + 19.1146i −0.630078 + 1.16979i
\(268\) −0.655866 + 0.175739i −0.0400634 + 0.0107350i
\(269\) 10.0976 5.82987i 0.615663 0.355453i −0.159515 0.987195i \(-0.550993\pi\)
0.775179 + 0.631742i \(0.217660\pi\)
\(270\) −1.75978 + 10.0584i −0.107097 + 0.612135i
\(271\) −24.4953 + 6.56350i −1.48798 + 0.398704i −0.909056 0.416674i \(-0.863196\pi\)
−0.578928 + 0.815378i \(0.696529\pi\)
\(272\) −2.03878 −0.123619
\(273\) −5.24362 15.6686i −0.317358 0.948306i
\(274\) −4.66746 −0.281972
\(275\) 3.27618 0.877849i 0.197561 0.0529363i
\(276\) 3.82328 4.05604i 0.230134 0.244145i
\(277\) 24.7727 14.3025i 1.48845 0.859356i 0.488535 0.872544i \(-0.337532\pi\)
0.999913 + 0.0131886i \(0.00419819\pi\)
\(278\) 1.16460 0.312054i 0.0698481 0.0187157i
\(279\) 1.84804 8.99033i 0.110639 0.538237i
\(280\) 5.11432 0.936092i 0.305639 0.0559422i
\(281\) 0.448744 0.448744i 0.0267698 0.0267698i −0.693595 0.720365i \(-0.743974\pi\)
0.720365 + 0.693595i \(0.243974\pi\)
\(282\) 0.312951 1.32306i 0.0186359 0.0787869i
\(283\) 24.9591 14.4101i 1.48366 0.856594i 0.483836 0.875158i \(-0.339243\pi\)
0.999828 + 0.0185645i \(0.00590961\pi\)
\(284\) −10.4456 2.79889i −0.619832 0.166084i
\(285\) 3.41886 14.4539i 0.202516 0.856173i
\(286\) 10.0007 3.92708i 0.591356 0.232213i
\(287\) −2.18127 + 26.9473i −0.128756 + 1.59065i
\(288\) 2.93856 + 0.604047i 0.173156 + 0.0355938i
\(289\) 6.42170 11.1227i 0.377747 0.654277i
\(290\) −6.04290 10.4666i −0.354851 0.614620i
\(291\) 17.7853 0.525392i 1.04259 0.0307990i
\(292\) 3.05864 + 11.4150i 0.178993 + 0.668012i
\(293\) 2.61973 2.61973i 0.153046 0.153046i −0.626431 0.779477i \(-0.715485\pi\)
0.779477 + 0.626431i \(0.215485\pi\)
\(294\) −7.39149 + 9.61072i −0.431080 + 0.560509i
\(295\) 5.25892 0.306186
\(296\) 2.03310 3.52144i 0.118172 0.204679i
\(297\) 12.6719 8.89810i 0.735298 0.516320i
\(298\) −17.1859 + 9.92231i −0.995555 + 0.574784i
\(299\) −1.72728 + 11.4738i −0.0998911 + 0.663548i
\(300\) −1.88837 + 0.566254i −0.109025 + 0.0326927i
\(301\) 3.88579 3.30382i 0.223973 0.190429i
\(302\) 7.15080i 0.411482i
\(303\) 1.89693 8.01962i 0.108976 0.460715i
\(304\) −4.21497 1.12940i −0.241745 0.0647754i
\(305\) 2.77263 10.3476i 0.158760 0.592501i
\(306\) 4.06206 4.57266i 0.232212 0.261401i
\(307\) −10.6314 10.6314i −0.606768 0.606768i 0.335332 0.942100i \(-0.391151\pi\)
−0.942100 + 0.335332i \(0.891151\pi\)
\(308\) −6.48747 4.48005i −0.369658 0.255274i
\(309\) 5.17194 + 17.2477i 0.294222 + 0.981185i
\(310\) −5.80737 + 1.55608i −0.329836 + 0.0883794i
\(311\) 7.17794 + 12.4326i 0.407024 + 0.704986i 0.994555 0.104216i \(-0.0332333\pi\)
−0.587531 + 0.809202i \(0.699900\pi\)
\(312\) −5.74296 + 2.45325i −0.325131 + 0.138888i
\(313\) 6.41060 11.1035i 0.362349 0.627607i −0.625998 0.779825i \(-0.715308\pi\)
0.988347 + 0.152218i \(0.0486416\pi\)
\(314\) 13.2454 + 13.2454i 0.747484 + 0.747484i
\(315\) −8.09026 + 13.3357i −0.455834 + 0.751380i
\(316\) 9.79172i 0.550827i
\(317\) −31.6985 + 8.49358i −1.78036 + 0.477047i −0.990650 0.136428i \(-0.956438\pi\)
−0.789714 + 0.613475i \(0.789771\pi\)
\(318\) 7.54996 0.223032i 0.423381 0.0125070i
\(319\) −4.74326 + 17.7021i −0.265572 + 0.991127i
\(320\) −0.508616 1.89818i −0.0284325 0.106112i
\(321\) −7.40127 24.6821i −0.413099 1.37762i
\(322\) 7.69308 3.64837i 0.428718 0.203316i
\(323\) −6.29079 + 6.29079i −0.350029 + 0.350029i
\(324\) −7.20957 + 5.38722i −0.400531 + 0.299290i
\(325\) 2.55815 3.20901i 0.141901 0.178004i
\(326\) 4.13336 2.38640i 0.228926 0.132170i
\(327\) 9.89337 + 16.0237i 0.547105 + 0.886112i
\(328\) 10.2184 0.564218
\(329\) 1.18011 1.70889i 0.0650615 0.0942143i
\(330\) −8.92978 4.80978i −0.491568 0.264770i
\(331\) 1.70346 + 6.35741i 0.0936308 + 0.349435i 0.996808 0.0798323i \(-0.0254385\pi\)
−0.903177 + 0.429267i \(0.858772\pi\)
\(332\) −6.60330 1.76935i −0.362403 0.0971057i
\(333\) 3.84728 + 11.5760i 0.210829 + 0.634363i
\(334\) −10.7882 + 18.6858i −0.590306 + 1.02244i
\(335\) −1.33434 −0.0729026
\(336\) 3.84607 + 2.49153i 0.209820 + 0.135924i
\(337\) 10.8486i 0.590959i −0.955349 0.295479i \(-0.904521\pi\)
0.955349 0.295479i \(-0.0954793\pi\)
\(338\) 6.91244 11.0099i 0.375987 0.598860i
\(339\) 19.1731 20.3404i 1.04134 1.10474i
\(340\) −3.86997 1.03696i −0.209879 0.0562368i
\(341\) 7.89536 + 4.55839i 0.427558 + 0.246851i
\(342\) 10.9310 7.20330i 0.591079 0.389510i
\(343\) −15.8555 + 9.57096i −0.856116 + 0.516783i
\(344\) −1.36315 1.36315i −0.0734963 0.0734963i
\(345\) 9.32024 5.75452i 0.501785 0.309813i
\(346\) −1.76685 + 6.59397i −0.0949864 + 0.354494i
\(347\) −22.0582 + 12.7353i −1.18415 + 0.683666i −0.956970 0.290187i \(-0.906282\pi\)
−0.227175 + 0.973854i \(0.572949\pi\)
\(348\) 2.45198 10.3662i 0.131440 0.555687i
\(349\) 12.8258 + 12.8258i 0.686551 + 0.686551i 0.961468 0.274917i \(-0.0886505\pi\)
−0.274917 + 0.961468i \(0.588650\pi\)
\(350\) −3.00161 0.242968i −0.160443 0.0129872i
\(351\) 5.94001 17.7684i 0.317054 0.948407i
\(352\) −1.48994 + 2.58066i −0.0794143 + 0.137550i
\(353\) −5.27871 + 19.7004i −0.280957 + 1.04855i 0.670786 + 0.741651i \(0.265957\pi\)
−0.951743 + 0.306896i \(0.900710\pi\)
\(354\) 3.37289 + 3.17933i 0.179267 + 0.168980i
\(355\) −18.4041 10.6256i −0.976787 0.563948i
\(356\) 8.86347 + 8.86347i 0.469763 + 0.469763i
\(357\) 8.31977 4.25091i 0.440329 0.224982i
\(358\) 7.51140 + 7.51140i 0.396990 + 0.396990i
\(359\) −5.92711 22.1203i −0.312821 1.16746i −0.926001 0.377520i \(-0.876777\pi\)
0.613181 0.789943i \(-0.289890\pi\)
\(360\) 5.27069 + 2.64119i 0.277790 + 0.139203i
\(361\) −0.0359416 + 0.0207509i −0.00189167 + 0.00109215i
\(362\) 5.09738 + 19.0237i 0.267912 + 0.999862i
\(363\) −1.05482 3.51766i −0.0553636 0.184629i
\(364\) −9.53463 + 0.301498i −0.499750 + 0.0158028i
\(365\) 23.2234i 1.21557i
\(366\) 8.03400 4.96037i 0.419944 0.259283i
\(367\) −4.41938 7.65459i −0.230690 0.399566i 0.727322 0.686297i \(-0.240765\pi\)
−0.958011 + 0.286731i \(0.907432\pi\)
\(368\) −1.60906 2.78697i −0.0838780 0.145281i
\(369\) −20.3592 + 22.9183i −1.05986 + 1.19308i
\(370\) 5.65026 5.65026i 0.293743 0.293743i
\(371\) 10.8674 + 3.87563i 0.564206 + 0.201213i
\(372\) −4.66539 2.51289i −0.241889 0.130287i
\(373\) 15.7801 27.3320i 0.817065 1.41520i −0.0907705 0.995872i \(-0.528933\pi\)
0.907836 0.419326i \(-0.137734\pi\)
\(374\) 3.03766 + 5.26139i 0.157074 + 0.272060i
\(375\) −20.8837 + 0.616921i −1.07843 + 0.0318577i
\(376\) −0.679782 0.392473i −0.0350571 0.0202402i
\(377\) 8.10496 + 20.6401i 0.417427 + 1.06302i
\(378\) −13.2510 + 3.66200i −0.681559 + 0.188353i
\(379\) −2.07577 + 2.07577i −0.106625 + 0.106625i −0.758407 0.651782i \(-0.774022\pi\)
0.651782 + 0.758407i \(0.274022\pi\)
\(380\) −7.42635 4.28760i −0.380964 0.219949i
\(381\) −8.96607 + 9.51193i −0.459346 + 0.487311i
\(382\) −23.3493 6.25642i −1.19465 0.320106i
\(383\) 14.1117 3.78122i 0.721074 0.193211i 0.120423 0.992723i \(-0.461575\pi\)
0.600651 + 0.799511i \(0.294908\pi\)
\(384\) 0.821356 1.52492i 0.0419146 0.0778181i
\(385\) −10.0358 11.8036i −0.511471 0.601566i
\(386\) 7.15556i 0.364209i
\(387\) 5.77329 0.341393i 0.293473 0.0173540i
\(388\) 2.65880 9.92278i 0.134980 0.503753i
\(389\) 12.8526 + 22.2613i 0.651652 + 1.12869i 0.982722 + 0.185088i \(0.0592569\pi\)
−0.331070 + 0.943606i \(0.607410\pi\)
\(390\) −12.1489 + 1.73576i −0.615186 + 0.0878935i
\(391\) −6.56103 −0.331805
\(392\) 4.08920 + 5.68141i 0.206536 + 0.286955i
\(393\) −0.301246 1.00461i −0.0151959 0.0506760i
\(394\) 18.0548 + 10.4239i 0.909587 + 0.525150i
\(395\) −4.98023 + 18.5865i −0.250582 + 0.935186i
\(396\) −2.81945 8.48342i −0.141683 0.426308i
\(397\) −26.5243 + 7.10715i −1.33121 + 0.356698i −0.853168 0.521637i \(-0.825322\pi\)
−0.478047 + 0.878334i \(0.658655\pi\)
\(398\) 3.16978 3.16978i 0.158887 0.158887i
\(399\) 19.5551 4.17952i 0.978981 0.209238i
\(400\) 1.13821i 0.0569107i
\(401\) 4.48360 + 16.7330i 0.223900 + 0.835608i 0.982842 + 0.184449i \(0.0590501\pi\)
−0.758942 + 0.651159i \(0.774283\pi\)
\(402\) −0.855798 0.806687i −0.0426833 0.0402339i
\(403\) 10.9614 1.23706i 0.546025 0.0616222i
\(404\) −4.12046 2.37895i −0.205000 0.118357i
\(405\) −16.4251 + 6.55903i −0.816170 + 0.325921i
\(406\) 9.24621 13.3893i 0.458882 0.664498i
\(407\) −12.1168 −0.600609
\(408\) −1.85516 3.00470i −0.0918443 0.148755i
\(409\) 8.62264 + 2.31043i 0.426362 + 0.114243i 0.465618 0.884986i \(-0.345832\pi\)
−0.0392560 + 0.999229i \(0.512499\pi\)
\(410\) 19.3964 + 5.19726i 0.957921 + 0.256674i
\(411\) −4.24711 6.87879i −0.209495 0.339306i
\(412\) 10.3960 0.512174
\(413\) 3.03389 + 6.39735i 0.149288 + 0.314793i
\(414\) 9.45663 + 1.94390i 0.464768 + 0.0955373i
\(415\) −11.6343 6.71709i −0.571108 0.329729i
\(416\) 0.404341 + 3.58281i 0.0198245 + 0.175662i
\(417\) 1.51961 + 1.43241i 0.0744157 + 0.0701453i
\(418\) 3.36548 + 12.5601i 0.164611 + 0.614336i
\(419\) 2.60621i 0.127322i 0.997972 + 0.0636609i \(0.0202776\pi\)
−0.997972 + 0.0636609i \(0.979722\pi\)
\(420\) 6.03331 + 6.68556i 0.294395 + 0.326222i
\(421\) 11.8588 11.8588i 0.577963 0.577963i −0.356379 0.934342i \(-0.615989\pi\)
0.934342 + 0.356379i \(0.115989\pi\)
\(422\) −20.5600 + 5.50904i −1.00085 + 0.268176i
\(423\) 2.23465 0.742683i 0.108653 0.0361105i
\(424\) 1.12868 4.21228i 0.0548134 0.204566i
\(425\) 2.00967 + 1.16028i 0.0974832 + 0.0562819i
\(426\) −5.37993 17.9413i −0.260659 0.869257i
\(427\) 14.1871 2.59672i 0.686564 0.125664i
\(428\) −14.8771 −0.719113
\(429\) 14.8877 + 11.1654i 0.718785 + 0.539071i
\(430\) −1.89419 3.28084i −0.0913460 0.158216i
\(431\) 5.13915 19.1796i 0.247544 0.923848i −0.724543 0.689229i \(-0.757949\pi\)
0.972087 0.234619i \(-0.0753841\pi\)
\(432\) 1.78368 + 4.88042i 0.0858174 + 0.234809i
\(433\) 8.74957i 0.420477i 0.977650 + 0.210239i \(0.0674241\pi\)
−0.977650 + 0.210239i \(0.932576\pi\)
\(434\) −5.24322 6.16682i −0.251683 0.296017i
\(435\) 9.92674 18.4298i 0.475951 0.883643i
\(436\) 10.5021 2.81402i 0.502958 0.134767i
\(437\) −13.5643 3.63454i −0.648867 0.173863i
\(438\) −14.0399 + 14.8947i −0.670854 + 0.711696i
\(439\) −18.0150 10.4010i −0.859808 0.496410i 0.00414009 0.999991i \(-0.498682\pi\)
−0.863948 + 0.503581i \(0.832015\pi\)
\(440\) −4.14075 + 4.14075i −0.197403 + 0.197403i
\(441\) −20.8898 2.14821i −0.994754 0.102296i
\(442\) 6.73810 + 2.93835i 0.320499 + 0.139763i
\(443\) −2.35905 1.36200i −0.112082 0.0647106i 0.442911 0.896566i \(-0.353946\pi\)
−0.554993 + 0.831855i \(0.687279\pi\)
\(444\) 7.03980 0.207961i 0.334094 0.00986941i
\(445\) 12.3164 + 21.3326i 0.583852 + 1.01126i
\(446\) −11.6057 + 20.1017i −0.549546 + 0.951841i
\(447\) −30.2614 16.2995i −1.43132 0.770939i
\(448\) 2.01567 1.71379i 0.0952315 0.0809689i
\(449\) 22.4174 22.4174i 1.05794 1.05794i 0.0597270 0.998215i \(-0.480977\pi\)
0.998215 0.0597270i \(-0.0190230\pi\)
\(450\) −2.55283 2.26778i −0.120342 0.106904i
\(451\) −15.2249 26.3703i −0.716911 1.24173i
\(452\) −8.06919 13.9762i −0.379543 0.657387i
\(453\) −10.5387 + 6.50680i −0.495150 + 0.305716i
\(454\) 4.31617i 0.202568i
\(455\) −18.2518 4.27717i −0.855658 0.200517i
\(456\) −2.17089 7.23960i −0.101661 0.339025i
\(457\) −4.85785 18.1297i −0.227241 0.848074i −0.981494 0.191491i \(-0.938668\pi\)
0.754254 0.656583i \(-0.227999\pi\)
\(458\) 16.5571 9.55923i 0.773661 0.446674i
\(459\) 10.4353 + 1.82571i 0.487078 + 0.0852170i
\(460\) −1.63679 6.10858i −0.0763157 0.284814i
\(461\) −25.1394 25.1394i −1.17086 1.17086i −0.982006 0.188852i \(-0.939523\pi\)
−0.188852 0.982006i \(-0.560477\pi\)
\(462\) 0.699370 13.6376i 0.0325376 0.634481i
\(463\) 16.7958 + 16.7958i 0.780567 + 0.780567i 0.979926 0.199359i \(-0.0638860\pi\)
−0.199359 + 0.979926i \(0.563886\pi\)
\(464\) −5.32613 3.07504i −0.247259 0.142755i
\(465\) −7.57766 7.14281i −0.351406 0.331240i
\(466\) 4.06551 15.1727i 0.188331 0.702862i
\(467\) −6.43406 + 11.1441i −0.297733 + 0.515688i −0.975617 0.219480i \(-0.929564\pi\)
0.677884 + 0.735169i \(0.262897\pi\)
\(468\) −8.84128 6.23151i −0.408688 0.288052i
\(469\) −0.769784 1.62319i −0.0355453 0.0749519i
\(470\) −1.09073 1.09073i −0.0503118 0.0503118i
\(471\) −7.46824 + 31.5733i −0.344118 + 1.45482i
\(472\) 2.31757 1.33805i 0.106675 0.0615887i
\(473\) −1.48681 + 5.54886i −0.0683637 + 0.255137i
\(474\) −14.4308 + 8.90987i −0.662827 + 0.409244i
\(475\) 3.51204 + 3.51204i 0.161143 + 0.161143i
\(476\) −0.971167 5.30595i −0.0445134 0.243198i
\(477\) 7.19870 + 10.9240i 0.329606 + 0.500175i
\(478\) 22.4047 + 12.9354i 1.02477 + 0.591650i
\(479\) −20.8166 5.57779i −0.951135 0.254856i −0.250291 0.968171i \(-0.580526\pi\)
−0.700844 + 0.713315i \(0.747193\pi\)
\(480\) 2.33468 2.47682i 0.106563 0.113051i
\(481\) −11.7946 + 8.70808i −0.537786 + 0.397054i
\(482\) 29.0777i 1.32445i
\(483\) 12.3771 + 8.01806i 0.563178 + 0.364834i
\(484\) −2.12026 −0.0963756
\(485\) 10.0938 17.4829i 0.458335 0.793859i
\(486\) −14.4998 5.72322i −0.657725 0.259611i
\(487\) −6.76544 1.81279i −0.306571 0.0821455i 0.102254 0.994758i \(-0.467395\pi\)
−0.408825 + 0.912613i \(0.634061\pi\)
\(488\) −1.41090 5.26556i −0.0638686 0.238361i
\(489\) 7.27812 + 3.92016i 0.329128 + 0.177276i
\(490\) 4.87239 + 12.8642i 0.220112 + 0.581145i
\(491\) 4.58195 0.206780 0.103390 0.994641i \(-0.467031\pi\)
0.103390 + 0.994641i \(0.467031\pi\)
\(492\) 9.29815 + 15.0596i 0.419193 + 0.678941i
\(493\) −10.8588 + 6.26932i −0.489055 + 0.282356i
\(494\) 12.3026 + 9.80738i 0.553522 + 0.441255i
\(495\) −1.03702 17.5371i −0.0466108 0.788233i
\(496\) −2.16335 + 2.16335i −0.0971372 + 0.0971372i
\(497\) 2.30842 28.5181i 0.103547 1.27921i
\(498\) −3.40098 11.3418i −0.152402 0.508237i
\(499\) −2.71651 10.1382i −0.121608 0.453846i 0.878088 0.478498i \(-0.158819\pi\)
−0.999696 + 0.0246524i \(0.992152\pi\)
\(500\) −3.12200 + 11.6514i −0.139620 + 0.521069i
\(501\) −37.3553 + 1.10350i −1.66891 + 0.0493009i
\(502\) 28.6302 7.67144i 1.27783 0.342393i
\(503\) 6.06721i 0.270524i 0.990810 + 0.135262i \(0.0431876\pi\)
−0.990810 + 0.135262i \(0.956812\pi\)
\(504\) −0.172266 + 7.93538i −0.00767335 + 0.353470i
\(505\) −6.61141 6.61141i −0.294204 0.294204i
\(506\) −4.79482 + 8.30487i −0.213156 + 0.369197i
\(507\) 22.5160 + 0.169013i 0.999972 + 0.00750613i
\(508\) 3.77345 + 6.53581i 0.167420 + 0.289980i
\(509\) 24.4905 6.56221i 1.08552 0.290865i 0.328666 0.944446i \(-0.393401\pi\)
0.756856 + 0.653582i \(0.226734\pi\)
\(510\) −1.99320 6.64703i −0.0882604 0.294335i
\(511\) −28.2507 + 13.3977i −1.24974 + 0.592677i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 20.5626 + 9.55520i 0.907859 + 0.421872i
\(514\) 7.62785 28.4675i 0.336450 1.25565i
\(515\) 19.7335 + 5.28758i 0.869562 + 0.232999i
\(516\) 0.768593 3.24937i 0.0338354 0.143045i
\(517\) 2.33905i 0.102871i
\(518\) 10.1331 + 3.61375i 0.445221 + 0.158779i
\(519\) −11.3258 + 3.39618i −0.497145 + 0.149076i
\(520\) −1.05476 + 7.00648i −0.0462543 + 0.307254i
\(521\) −26.8303 + 15.4905i −1.17546 + 0.678650i −0.954959 0.296737i \(-0.904101\pi\)
−0.220497 + 0.975388i \(0.570768\pi\)
\(522\) 17.5086 5.81896i 0.766331 0.254689i
\(523\) 0.968980 1.67832i 0.0423705 0.0733879i −0.844062 0.536245i \(-0.819842\pi\)
0.886433 + 0.462857i \(0.153176\pi\)
\(524\) −0.605528 −0.0264526
\(525\) −2.37321 4.64478i −0.103575 0.202715i
\(526\) 12.1246 12.1246i 0.528658 0.528658i
\(527\) 1.61439 + 6.02497i 0.0703237 + 0.262452i
\(528\) −5.15907 + 0.152403i −0.224520 + 0.00663249i
\(529\) 6.32185 + 10.9498i 0.274863 + 0.476077i
\(530\) 4.28487 7.42161i 0.186123 0.322374i
\(531\) −1.61649 + 7.86388i −0.0701497 + 0.341263i
\(532\) 0.931484 11.5075i 0.0403850 0.498914i
\(533\) −33.7716 14.7271i −1.46281 0.637903i
\(534\) −4.99753 + 21.1280i −0.216264 + 0.914297i
\(535\) −28.2395 7.56675i −1.22090 0.327139i
\(536\) −0.588033 + 0.339501i −0.0253992 + 0.0146642i
\(537\) −4.23518 + 17.9050i −0.182762 + 0.772658i
\(538\) 8.24468 8.24468i 0.355453 0.355453i
\(539\) 8.56911 19.0178i 0.369098 0.819155i
\(540\) 0.903493 + 10.1711i 0.0388802 + 0.437696i
\(541\) 10.5211 2.81912i 0.452337 0.121203i −0.0254556 0.999676i \(-0.508104\pi\)
0.477793 + 0.878473i \(0.341437\pi\)
\(542\) −21.9619 + 12.6797i −0.943344 + 0.544640i
\(543\) −23.3983 + 24.8228i −1.00412 + 1.06525i
\(544\) −1.96931 + 0.527674i −0.0844333 + 0.0226238i
\(545\) 21.3661 0.915224
\(546\) −9.12027 13.7775i −0.390312 0.589624i
\(547\) −34.1078 −1.45834 −0.729171 0.684331i \(-0.760094\pi\)
−0.729171 + 0.684331i \(0.760094\pi\)
\(548\) −4.50842 + 1.20803i −0.192590 + 0.0516044i
\(549\) 14.6209 + 7.32667i 0.624006 + 0.312695i
\(550\) 2.93734 1.69587i 0.125249 0.0723123i
\(551\) −25.9224 + 6.94589i −1.10433 + 0.295905i
\(552\) 2.64322 4.90737i 0.112503 0.208871i
\(553\) −25.4831 + 4.66426i −1.08365 + 0.198345i
\(554\) 20.2268 20.2268i 0.859356 0.859356i
\(555\) 13.4686 + 3.18581i 0.571710 + 0.135230i
\(556\) 1.04415 0.602841i 0.0442819 0.0255662i
\(557\) −21.8948 5.86670i −0.927713 0.248580i −0.236834 0.971550i \(-0.576110\pi\)
−0.690879 + 0.722970i \(0.742776\pi\)
\(558\) −0.541796 9.16230i −0.0229361 0.387871i
\(559\) 2.54056 + 6.46981i 0.107454 + 0.273644i
\(560\) 4.69777 2.22788i 0.198517 0.0941450i
\(561\) −4.99001 + 9.26437i −0.210678 + 0.391142i
\(562\) 0.317310 0.549597i 0.0133849 0.0231834i
\(563\) −12.6747 21.9532i −0.534175 0.925218i −0.999203 0.0399219i \(-0.987289\pi\)
0.465028 0.885296i \(-0.346044\pi\)
\(564\) −0.0401451 1.35897i −0.00169041 0.0572230i
\(565\) −8.20824 30.6336i −0.345323 1.28876i
\(566\) 20.3790 20.3790i 0.856594 0.856594i
\(567\) −17.4546 16.1968i −0.733024 0.680203i
\(568\) −10.8141 −0.453749
\(569\) −11.4337 + 19.8037i −0.479325 + 0.830215i −0.999719 0.0237110i \(-0.992452\pi\)
0.520394 + 0.853926i \(0.325785\pi\)
\(570\) −0.438569 14.8462i −0.0183696 0.621840i
\(571\) 39.5683 22.8448i 1.65588 0.956023i 0.681295 0.732009i \(-0.261417\pi\)
0.974586 0.224015i \(-0.0719164\pi\)
\(572\) 8.64356 6.38165i 0.361405 0.266830i
\(573\) −12.0259 40.1045i −0.502388 1.67539i
\(574\) 4.86752 + 26.5936i 0.203166 + 1.11000i
\(575\) 3.66291i 0.152754i
\(576\) 2.99477 0.177090i 0.124782 0.00737876i
\(577\) 4.20984 + 1.12802i 0.175258 + 0.0469602i 0.345381 0.938463i \(-0.387750\pi\)
−0.170123 + 0.985423i \(0.554416\pi\)
\(578\) 3.32411 12.4058i 0.138265 0.516012i
\(579\) 10.5457 6.51113i 0.438264 0.270593i
\(580\) −8.54595 8.54595i −0.354851 0.354851i
\(581\) 1.45929 18.0280i 0.0605416 0.747929i
\(582\) 17.0433 5.11066i 0.706467 0.211844i
\(583\) −12.5521 + 3.36333i −0.519856 + 0.139295i
\(584\) 5.90883 + 10.2344i 0.244509 + 0.423502i
\(585\) −13.6129 16.3254i −0.562825 0.674971i
\(586\) 1.85243 3.20850i 0.0765231 0.132542i
\(587\) −7.29612 7.29612i −0.301143 0.301143i 0.540318 0.841461i \(-0.318304\pi\)
−0.841461 + 0.540318i \(0.818304\pi\)
\(588\) −4.65219 + 11.1963i −0.191853 + 0.461728i
\(589\) 13.3503i 0.550091i
\(590\) 5.07973 1.36111i 0.209129 0.0560359i
\(591\) 1.06624 + 36.0938i 0.0438593 + 1.48470i
\(592\) 1.05241 3.92765i 0.0432538 0.161425i
\(593\) −6.45528 24.0914i −0.265086 0.989316i −0.962197 0.272353i \(-0.912198\pi\)
0.697111 0.716963i \(-0.254468\pi\)
\(594\) 9.93711 11.8746i 0.407724 0.487222i
\(595\) 0.855241 10.5656i 0.0350615 0.433148i
\(596\) −14.0323 + 14.0323i −0.574784 + 0.574784i
\(597\) 7.55584 + 1.78723i 0.309240 + 0.0731464i
\(598\) 1.30122 + 11.5299i 0.0532108 + 0.471493i
\(599\) 23.3553 13.4842i 0.954273 0.550950i 0.0598673 0.998206i \(-0.480932\pi\)
0.894406 + 0.447257i \(0.147599\pi\)
\(600\) −1.67747 + 1.03571i −0.0684824 + 0.0422825i
\(601\) 2.30129 0.0938717 0.0469358 0.998898i \(-0.485054\pi\)
0.0469358 + 0.998898i \(0.485054\pi\)
\(602\) 2.89829 4.19697i 0.118126 0.171056i
\(603\) 0.410150 1.99529i 0.0167026 0.0812544i
\(604\) 1.85076 + 6.90714i 0.0753065 + 0.281048i
\(605\) −4.02465 1.07840i −0.163625 0.0438432i
\(606\) −0.243337 8.23732i −0.00988489 0.334618i
\(607\) 6.18973 10.7209i 0.251233 0.435149i −0.712632 0.701538i \(-0.752497\pi\)
0.963866 + 0.266389i \(0.0858305\pi\)
\(608\) −4.36366 −0.176970
\(609\) 28.1462 + 1.44340i 1.14054 + 0.0584897i
\(610\) 10.7126i 0.433741i
\(611\) 1.68102 + 2.27684i 0.0680067 + 0.0921110i
\(612\) 2.74016 5.46818i 0.110764 0.221038i
\(613\) 6.16430 + 1.65172i 0.248974 + 0.0667123i 0.381147 0.924514i \(-0.375529\pi\)
−0.132174 + 0.991227i \(0.542196\pi\)
\(614\) −13.0208 7.51756i −0.525476 0.303384i
\(615\) 9.98999 + 33.3151i 0.402835 + 1.34340i
\(616\) −7.42594 2.64831i −0.299200 0.106704i
\(617\) 8.49833 + 8.49833i 0.342130 + 0.342130i 0.857168 0.515038i \(-0.172222\pi\)
−0.515038 + 0.857168i \(0.672222\pi\)
\(618\) 9.45974 + 15.3214i 0.380526 + 0.616316i
\(619\) 1.19950 4.47660i 0.0482120 0.179930i −0.937621 0.347659i \(-0.886977\pi\)
0.985833 + 0.167729i \(0.0536434\pi\)
\(620\) −5.20674 + 3.00611i −0.209108 + 0.120728i
\(621\) 5.74010 + 15.7058i 0.230342 + 0.630251i
\(622\) 10.1511 + 10.1511i 0.407024 + 0.407024i
\(623\) −18.8452 + 27.2894i −0.755018 + 1.09333i
\(624\) −4.91232 + 3.85605i −0.196650 + 0.154365i
\(625\) −9.00670 + 15.6001i −0.360268 + 0.624003i
\(626\) 3.31837 12.3843i 0.132629 0.494978i
\(627\) −15.4484 + 16.3889i −0.616951 + 0.654511i
\(628\) 16.2223 + 9.36594i 0.647340 + 0.373742i
\(629\) −5.86197 5.86197i −0.233732 0.233732i
\(630\) −4.36306 + 14.9752i −0.173828 + 0.596626i
\(631\) −2.19609 2.19609i −0.0874251 0.0874251i 0.662042 0.749467i \(-0.269690\pi\)
−0.749467 + 0.662042i \(0.769690\pi\)
\(632\) 2.53428 + 9.45807i 0.100808 + 0.376222i
\(633\) −26.8274 25.2879i −1.06630 1.00510i
\(634\) −28.4201 + 16.4083i −1.12871 + 0.651659i
\(635\) 3.83848 + 14.3254i 0.152325 + 0.568486i
\(636\) 7.23497 2.16951i 0.286885 0.0860265i
\(637\) −5.32645 24.6704i −0.211042 0.977477i
\(638\) 18.3266i 0.725556i
\(639\) 21.5460 24.2543i 0.852345 0.959484i
\(640\) −0.982571 1.70186i −0.0388395 0.0672721i
\(641\) −12.7864 22.1467i −0.505032 0.874741i −0.999983 0.00582025i \(-0.998147\pi\)
0.494951 0.868921i \(-0.335186\pi\)
\(642\) −13.5373 21.9255i −0.534274 0.865332i
\(643\) −3.48176 + 3.48176i −0.137307 + 0.137307i −0.772420 0.635112i \(-0.780954\pi\)
0.635112 + 0.772420i \(0.280954\pi\)
\(644\) 6.48667 5.51517i 0.255611 0.217328i
\(645\) 3.11161 5.77697i 0.122520 0.227468i
\(646\) −4.44826 + 7.70461i −0.175014 + 0.303134i
\(647\) −3.72444 6.45091i −0.146423 0.253612i 0.783480 0.621417i \(-0.213443\pi\)
−0.929903 + 0.367805i \(0.880109\pi\)
\(648\) −5.56959 + 7.06963i −0.218794 + 0.277721i
\(649\) −6.90610 3.98724i −0.271088 0.156513i
\(650\) 1.64043 3.76176i 0.0643430 0.147549i
\(651\) 4.31748 13.3388i 0.169215 0.522787i
\(652\) 3.37488 3.37488i 0.132170 0.132170i
\(653\) 25.0837 + 14.4821i 0.981603 + 0.566729i 0.902754 0.430158i \(-0.141542\pi\)
0.0788492 + 0.996887i \(0.474875\pi\)
\(654\) 13.7035 + 12.9171i 0.535849 + 0.505099i
\(655\) −1.14940 0.307982i −0.0449109 0.0120338i
\(656\) 9.87024 2.64472i 0.385368 0.103259i
\(657\) −34.7269 7.13843i −1.35483 0.278496i
\(658\) 0.697603 1.95610i 0.0271954 0.0762567i
\(659\) 14.9624i 0.582853i −0.956593 0.291427i \(-0.905870\pi\)
0.956593 0.291427i \(-0.0941299\pi\)
\(660\) −9.87037 2.33470i −0.384203 0.0908780i
\(661\) −9.14717 + 34.1377i −0.355784 + 1.32780i 0.523712 + 0.851896i \(0.324547\pi\)
−0.879495 + 0.475907i \(0.842120\pi\)
\(662\) 3.29084 + 5.69990i 0.127902 + 0.221533i
\(663\) 1.80080 + 12.6042i 0.0699371 + 0.489505i
\(664\) −6.83624 −0.265298
\(665\) 7.62104 21.3696i 0.295531 0.828677i
\(666\) 6.71228 + 10.1858i 0.260096 + 0.394693i
\(667\) −17.1401 9.89585i −0.663668 0.383169i
\(668\) −5.58440 + 20.8413i −0.216067 + 0.806373i
\(669\) −40.1858 + 1.18712i −1.55367 + 0.0458967i
\(670\) −1.28887 + 0.345352i −0.0497934 + 0.0133421i
\(671\) −11.4865 + 11.4865i −0.443430 + 0.443430i
\(672\) 4.35988 + 1.41120i 0.168186 + 0.0544383i
\(673\) 0.983033i 0.0378931i 0.999820 + 0.0189466i \(0.00603124\pi\)
−0.999820 + 0.0189466i \(0.993969\pi\)
\(674\) −2.80781 10.4789i −0.108153 0.403632i
\(675\) 1.01926 5.82584i 0.0392315 0.224237i
\(676\) 3.82733 12.4238i 0.147205 0.477840i
\(677\) −21.1055 12.1853i −0.811151 0.468318i 0.0362043 0.999344i \(-0.488473\pi\)
−0.847356 + 0.531026i \(0.821807\pi\)
\(678\) 13.2553 24.6097i 0.509069 0.945130i
\(679\) 27.0907 + 2.19288i 1.03965 + 0.0841550i
\(680\) −4.00649 −0.153642
\(681\) 6.36105 3.92745i 0.243756 0.150500i
\(682\) 8.80613 + 2.35960i 0.337204 + 0.0903536i
\(683\) 40.5076 + 10.8540i 1.54998 + 0.415316i 0.929475 0.368885i \(-0.120261\pi\)
0.620506 + 0.784202i \(0.286927\pi\)
\(684\) 8.69415 9.78700i 0.332429 0.374215i
\(685\) −9.17223 −0.350453
\(686\) −12.8381 + 13.3485i −0.490160 + 0.509650i
\(687\) 29.1541 + 15.7031i 1.11230 + 0.599109i
\(688\) −1.66952 0.963895i −0.0636497 0.0367482i
\(689\) −9.80112 + 12.2948i −0.373393 + 0.468394i
\(690\) 7.51328 7.97069i 0.286026 0.303439i
\(691\) −4.84751 18.0912i −0.184408 0.688220i −0.994756 0.102272i \(-0.967389\pi\)
0.810348 0.585948i \(-0.199278\pi\)
\(692\) 6.82658i 0.259508i
\(693\) 20.7352 11.3787i 0.787665 0.432242i
\(694\) −18.0104 + 18.0104i −0.683666 + 0.683666i
\(695\) 2.28861 0.613230i 0.0868118 0.0232611i
\(696\) −0.314539 10.6476i −0.0119226 0.403597i
\(697\) 5.39200 20.1232i 0.204236 0.762221i
\(698\) 15.7084 + 9.06923i 0.594570 + 0.343275i
\(699\) 26.0605 7.81459i 0.985699 0.295575i
\(700\) −2.96222 + 0.542186i −0.111961 + 0.0204927i
\(701\) −12.5994 −0.475874 −0.237937 0.971281i \(-0.576471\pi\)
−0.237937 + 0.971281i \(0.576471\pi\)
\(702\) 1.13880 18.7004i 0.0429813 0.705799i
\(703\) −8.87176 15.3663i −0.334605 0.579552i
\(704\) −0.771252 + 2.87835i −0.0290677 + 0.108482i
\(705\) 0.614993 2.60000i 0.0231620 0.0979215i
\(706\) 20.3954i 0.767589i
\(707\) 4.22848 11.8568i 0.159028 0.445920i
\(708\) 4.08083 + 2.19803i 0.153367 + 0.0826070i
\(709\) −25.8508 + 6.92669i −0.970846 + 0.260137i −0.709185 0.705022i \(-0.750937\pi\)
−0.261661 + 0.965160i \(0.584270\pi\)
\(710\) −20.5271 5.50022i −0.770368 0.206419i
\(711\) −26.2623 13.1603i −0.984912 0.493548i
\(712\) 10.8555 + 6.26742i 0.406827 + 0.234882i
\(713\) −6.96191 + 6.96191i −0.260726 + 0.260726i
\(714\) 6.93607 6.25937i 0.259576 0.234251i
\(715\) 19.6529 7.71728i 0.734975 0.288610i
\(716\) 9.19954 + 5.31136i 0.343803 + 0.198495i
\(717\) 1.32313 + 44.7899i 0.0494132 + 1.67271i
\(718\) −11.4503 19.8325i −0.427321 0.740142i
\(719\) −3.39194 + 5.87502i −0.126498 + 0.219101i −0.922318 0.386433i \(-0.873707\pi\)
0.795819 + 0.605534i \(0.207040\pi\)
\(720\) 5.77469 + 1.18704i 0.215210 + 0.0442383i
\(721\) 4.95212 + 27.0558i 0.184426 + 1.00761i
\(722\) −0.0293462 + 0.0293462i −0.00109215 + 0.00109215i
\(723\) −42.8539 + 26.4589i −1.59375 + 0.984018i
\(724\) 9.84737 + 17.0562i 0.365975 + 0.633887i
\(725\) 3.50005 + 6.06227i 0.129989 + 0.225147i
\(726\) −1.92931 3.12479i −0.0716035 0.115972i
\(727\) 28.5848i 1.06015i 0.847951 + 0.530075i \(0.177836\pi\)
−0.847951 + 0.530075i \(0.822164\pi\)
\(728\) −9.13171 + 2.75897i −0.338444 + 0.102254i
\(729\) −4.75922 26.5772i −0.176267 0.984342i
\(730\) 6.01066 + 22.4321i 0.222464 + 0.830248i
\(731\) −3.40377 + 1.96517i −0.125893 + 0.0726843i
\(732\) 6.47641 6.87070i 0.239375 0.253948i
\(733\) 12.0661 + 45.0312i 0.445671 + 1.66327i 0.714159 + 0.699984i \(0.246809\pi\)
−0.268488 + 0.963283i \(0.586524\pi\)
\(734\) −6.24995 6.24995i −0.230690 0.230690i
\(735\) −14.5253 + 18.8864i −0.535775 + 0.696637i
\(736\) −2.27555 2.27555i −0.0838780 0.0838780i
\(737\) 1.75227 + 1.01168i 0.0645458 + 0.0372656i
\(738\) −13.7338 + 27.4067i −0.505547 + 1.00886i
\(739\) −1.72812 + 6.44941i −0.0635698 + 0.237246i −0.990399 0.138237i \(-0.955856\pi\)
0.926829 + 0.375483i \(0.122523\pi\)
\(740\) 3.99534 6.92013i 0.146871 0.254389i
\(741\) −3.25922 + 27.0554i −0.119730 + 0.993906i
\(742\) 11.5002 + 0.930890i 0.422184 + 0.0341740i
\(743\) 1.78670 + 1.78670i 0.0655478 + 0.0655478i 0.739121 0.673573i \(-0.235241\pi\)
−0.673573 + 0.739121i \(0.735241\pi\)
\(744\) −5.15680 1.21977i −0.189058 0.0447189i
\(745\) −33.7728 + 19.4987i −1.23734 + 0.714379i
\(746\) 8.16841 30.4849i 0.299067 1.11613i
\(747\) 13.6205 15.3326i 0.498349 0.560991i
\(748\) 4.29590 + 4.29590i 0.157074 + 0.157074i
\(749\) −7.08669 38.7180i −0.258942 1.41472i
\(750\) −20.0124 + 6.00100i −0.730751 + 0.219125i
\(751\) −9.91617 5.72510i −0.361846 0.208912i 0.308044 0.951372i \(-0.400326\pi\)
−0.669890 + 0.742460i \(0.733659\pi\)
\(752\) −0.758199 0.203159i −0.0276487 0.00740844i
\(753\) 37.3577 + 35.2139i 1.36139 + 1.28327i
\(754\) 13.1709 + 17.8391i 0.479654 + 0.649663i
\(755\) 14.0523i 0.511417i
\(756\) −11.8517 + 6.96684i −0.431043 + 0.253381i
\(757\) 9.06839 0.329596 0.164798 0.986327i \(-0.447303\pi\)
0.164798 + 0.986327i \(0.447303\pi\)
\(758\) −1.46779 + 2.54228i −0.0533125 + 0.0923399i
\(759\) −16.6025 + 0.490451i −0.602632 + 0.0178022i
\(760\) −8.28302 2.21943i −0.300457 0.0805071i
\(761\) 7.13113 + 26.6137i 0.258503 + 0.964747i 0.966108 + 0.258138i \(0.0831091\pi\)
−0.707605 + 0.706608i \(0.750224\pi\)
\(762\) −6.19869 + 11.5084i −0.224555 + 0.416906i
\(763\) 12.3262 + 25.9914i 0.446238 + 0.940951i
\(764\) −24.1729 −0.874546
\(765\) 7.98252 8.98592i 0.288609 0.324887i
\(766\) 12.6522 7.30475i 0.457143 0.263931i
\(767\) −9.58795 + 1.08206i −0.346201 + 0.0390708i
\(768\) 0.398691 1.68554i 0.0143865 0.0608217i
\(769\) 33.1971 33.1971i 1.19712 1.19712i 0.222093 0.975025i \(-0.428711\pi\)
0.975025 0.222093i \(-0.0712889\pi\)
\(770\) −12.7488 8.80394i −0.459435 0.317272i
\(771\) 48.8956 14.6620i 1.76093 0.528039i
\(772\) −1.85200 6.91174i −0.0666548 0.248759i
\(773\) −3.73452 + 13.9374i −0.134321 + 0.501294i 0.865679 + 0.500600i \(0.166887\pi\)
−1.00000 0.000693289i \(0.999779\pi\)
\(774\)