Properties

Label 546.2.bv.a.515.31
Level $546$
Weight $2$
Character 546.515
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 515.31
Character \(\chi\) \(=\) 546.515
Dual form 546.2.bv.a.317.31

$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 + 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 0.656939 0.753944i \(-0.271851\pi\)
0.191954 + 0.981404i \(0.438518\pi\)
\(6\) 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 −0.665160 0.746701i \(-0.731637\pi\)
−0.202695 + 0.979242i \(0.564970\pi\)
\(12\) 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 −0.962758 0.270363i \(-0.912856\pi\)
0.715520 + 0.698592i \(0.246190\pi\)
\(18\) 0.946159 2.84689i 0.223012 0.671018i
\(19\) −1.12940 + 4.21497i −0.259102 + 0.966980i 0.706661 + 0.707552i \(0.250201\pi\)
−0.965762 + 0.259428i \(0.916466\pi\)
\(20\) 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 0.983583 0.180456i \(-0.0577573\pi\)
−0.648071 + 0.761580i \(0.724424\pi\)
\(24\) 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 \(0.193452\pi\)
−0.820935 + 0.571021i \(0.806548\pi\)
\(30\) 3.31233 0.783485i 0.604745 0.143044i
\(31\) −2.95519 + 0.791840i −0.530767 + 0.142219i −0.514243 0.857645i \(-0.671927\pi\)
−0.0165248 + 0.999863i \(0.505260\pi\)
\(32\) 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 0.566785 0.823866i \(-0.308187\pi\)
0.0789171 + 0.996881i \(0.474854\pi\)
\(38\) −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 0.138004 0.990432i \(-0.455931\pi\)
0.990432 0.138004i \(-0.0440687\pi\)
\(42\) 0.957802 4.48136i 0.147792 0.691489i
\(43\) 1.92779i 0.293985i 0.989138 + 0.146993i \(0.0469594\pi\)
−0.989138 + 0.146993i \(0.953041\pi\)
\(44\) −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 −0.979159 0.203097i \(-0.934899\pi\)
0.949525 + 0.313692i \(0.101566\pi\)
\(48\) 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 0.736427 0.676517i \(-0.236512\pi\)
−0.217667 + 0.976023i \(0.569845\pi\)
\(54\) −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 −0.0865982 0.996243i \(-0.527600\pi\)
0.423125 + 0.906071i \(0.360933\pi\)
\(60\) 3.40224 + 0.100505i 0.439228 + 0.0129751i
\(61\) 2.72566 + 4.72098i 0.348985 + 0.604459i 0.986069 0.166335i \(-0.0531932\pi\)
−0.637085 + 0.770794i \(0.719860\pi\)
\(62\) −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 −0.298660 0.954360i \(-0.596540\pi\)
0.218533 + 0.975830i \(0.429873\pi\)
\(68\) −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 −0.996070 0.0885725i \(-0.971769\pi\)
0.0885725 + 0.996070i \(0.471769\pi\)
\(72\) 2.24284 1.99240i 0.264322 0.234807i
\(73\) −3.05864 11.4150i −0.357986 1.33602i −0.876685 0.481066i \(-0.840250\pi\)
0.518698 0.854957i \(-0.326417\pi\)
\(74\) 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 −0.998215 0.0597205i \(-0.980979\pi\)
0.447388 0.894340i \(-0.352354\pi\)
\(80\) 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 −0.920749 0.390154i \(-0.872422\pi\)
0.390154 + 0.920749i \(0.372422\pi\)
\(84\) 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 −0.550013 0.835156i \(-0.685377\pi\)
0.893903 0.448260i \(-0.147956\pi\)
\(90\) 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 0.972102 0.234557i \(-0.0753639\pi\)
−0.234557 + 0.972102i \(0.575364\pi\)
\(98\) 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 −0.959769 0.280789i \(-0.909404\pi\)
0.723055 + 0.690790i \(0.242737\pi\)
\(102\) −0.104271 + 3.52972i −0.0103244 + 0.349495i
\(103\) 9.00320 5.19800i 0.887112 0.512174i 0.0141153 0.999900i \(-0.495507\pi\)
0.872997 + 0.487726i \(0.162173\pi\)
\(104\) −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 −0.970217 0.242238i \(-0.922118\pi\)
−0.275324 + 0.961352i \(0.588785\pi\)
\(108\) −0.895495 5.11841i −0.0861690 0.492519i
\(109\) 10.5021 2.81402i 1.00592 0.269535i 0.281995 0.959416i \(-0.409004\pi\)
0.723922 + 0.689881i \(0.242337\pi\)
\(110\) −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 \(0.274353\pi\)
−0.650991 + 0.759085i \(0.725647\pi\)
\(114\) 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 \(-0.891318\pi\)
0.942275 0.334840i \(-0.108682\pi\)
\(128\) −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 −0.522734 0.852496i \(-0.675088\pi\)
0.476916 + 0.878949i \(0.341754\pi\)
\(132\) −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 −0.446213 0.894927i \(-0.647228\pi\)
0.0610320 + 0.998136i \(0.480561\pi\)
\(138\) 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 −0.634420 0.772988i \(-0.718761\pi\)
−0.935918 + 0.352218i \(0.885428\pi\)
\(150\) −1.97058 0.0582126i −0.160898 0.00475304i
\(151\) −1.85076 6.90714i −0.150613 0.562095i −0.999441 0.0334265i \(-0.989358\pi\)
0.848828 0.528669i \(-0.177309\pi\)
\(152\) −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 −0.201542 0.979480i \(-0.564595\pi\)
0.949025 0.315200i \(-0.102072\pi\)
\(158\) −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 0.434806 0.900524i \(-0.356817\pi\)
−0.0737095 + 0.997280i \(0.523484\pi\)
\(164\) 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 −0.979586 0.201026i \(-0.935572\pi\)
−0.201026 0.979586i \(-0.564428\pi\)
\(168\) 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 0.706602 0.707611i \(-0.250227\pi\)
−0.966110 + 0.258130i \(0.916894\pi\)
\(174\) 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 −0.596363 0.802715i \(-0.703388\pi\)
0.993353 + 0.115108i \(0.0367216\pi\)
\(180\) 4.40751 3.91535i 0.328516 0.291833i
\(181\) 19.6947i 1.46390i −0.681359 0.731950i \(-0.738611\pi\)
0.681359 0.731950i \(-0.261389\pi\)
\(182\) −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 −0.514908 + 0.857245i \(0.672174\pi\)
−0.999850 + 0.0173008i \(0.994493\pi\)
\(192\) 1.18805 + 1.26037i 0.0857399 + 0.0909597i
\(193\) 1.85200 + 6.91174i 0.133310 + 0.497518i 0.999999 0.00132974i \(-0.000423269\pi\)
−0.866690 + 0.498848i \(0.833757\pi\)
\(194\) 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 0.0516350 0.998666i \(-0.483557\pi\)
0.998666 0.0516350i \(-0.0164432\pi\)
\(198\) −0.527709 + 8.92408i −0.0375027 + 0.634207i
\(199\) 3.88217 + 2.24137i 0.275200 + 0.158887i 0.631248 0.775581i \(-0.282543\pi\)
−0.356049 + 0.934467i \(0.615876\pi\)
\(200\) −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 −0.994517 0.104574i \(-0.966652\pi\)
−0.104574 0.994517i \(-0.533348\pi\)
\(224\) 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 0.993038 0.117794i \(-0.0375822\pi\)
−0.918893 + 0.394507i \(0.870916\pi\)
\(228\) −0.223174 + 7.55478i −0.0147801 + 0.500328i
\(229\) 18.4670 + 4.94822i 1.22033 + 0.326988i 0.810809 0.585311i \(-0.199027\pi\)
0.409526 + 0.912298i \(0.365694\pi\)
\(230\) 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 0.999858 + 0.0168603i \(0.00536707\pi\)
−0.485327 + 0.874332i \(0.661300\pi\)
\(234\) −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 0.204417 0.978884i \(-0.434470\pi\)
0.978884 0.204417i \(-0.0655299\pi\)
\(240\) 2.89618 + 1.78816i 0.186947 + 0.115425i
\(241\) −7.52585 28.0869i −0.484783 1.80923i −0.581037 0.813877i \(-0.697353\pi\)
0.0962542 0.995357i \(-0.469314\pi\)
\(242\) −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 0.800635 + 0.599153i \(0.204496\pi\)
0.118564 + 0.992946i \(0.462171\pi\)
\(258\) 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 0.882249 0.470784i \(-0.156029\pi\)
0.0334138 + 0.999442i \(0.489362\pi\)
\(264\) −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 0.775179 0.631742i \(-0.217660\pi\)
−0.159515 + 0.987195i \(0.550993\pi\)
\(270\) −1.75978 10.0584i −0.107097 0.612135i
\(271\) −24.4953 6.56350i −1.48798 0.398704i −0.578928 0.815378i \(-0.696529\pi\)
−0.909056 + 0.416674i \(0.863196\pi\)
\(272\) −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 0.999913 0.0131886i \(-0.00419819\pi\)
0.488535 + 0.872544i \(0.337532\pi\)
\(278\) 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 0.720365 0.693595i \(-0.243974\pi\)
−0.693595 + 0.720365i \(0.743974\pi\)
\(282\) 0.312951 + 1.32306i 0.0186359 + 0.0787869i
\(283\) 24.9591 + 14.4101i 1.48366 + 0.856594i 0.999828 0.0185645i \(-0.00590961\pi\)
0.483836 + 0.875158i \(0.339243\pi\)
\(284\) −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 0.779477 0.626431i \(-0.215485\pi\)
−0.626431 + 0.779477i \(0.715485\pi\)
\(294\) −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 −0.942100 0.335332i \(-0.891151\pi\)
0.335332 + 0.942100i \(0.391151\pi\)
\(308\) −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 −0.587531 0.809202i \(-0.699900\pi\)
0.994555 + 0.104216i \(0.0332333\pi\)
\(312\) −5.74296 2.45325i −0.325131 0.138888i
\(313\) 6.41060 + 11.1035i 0.362349 + 0.627607i 0.988347 0.152218i \(-0.0486416\pi\)
−0.625998 + 0.779825i \(0.715308\pi\)
\(314\) 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 −0.789714 0.613475i \(-0.789771\pi\)
−0.990650 + 0.136428i \(0.956438\pi\)
\(318\) 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 −0.903177 0.429267i \(-0.858772\pi\)
0.996808 + 0.0798323i \(0.0254385\pi\)
\(332\) −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 \(0.0954793\pi\)
−0.955349 + 0.295479i \(0.904521\pi\)
\(338\) 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 −0.227175 0.973854i \(-0.572949\pi\)
−0.956970 + 0.290187i \(0.906282\pi\)
\(348\) 2.45198 + 10.3662i 0.131440 + 0.555687i
\(349\) 12.8258 12.8258i 0.686551 0.686551i −0.274917 0.961468i \(-0.588650\pi\)
0.961468 + 0.274917i \(0.0886505\pi\)
\(350\) −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 −0.951743 0.306896i \(-0.900710\pi\)
0.670786 0.741651i \(-0.265957\pi\)
\(354\) 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 0.613181 + 0.789943i \(0.289890\pi\)
−0.926001 + 0.377520i \(0.876777\pi\)
\(360\) 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 −0.958011 0.286731i \(-0.907432\pi\)
0.727322 + 0.686297i \(0.240765\pi\)
\(368\) −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 0.907836 + 0.419326i \(0.137734\pi\)
−0.0907705 + 0.995872i \(0.528933\pi\)
\(374\) 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 0.651782 0.758407i \(-0.274022\pi\)
−0.758407 + 0.651782i \(0.774022\pi\)
\(380\) −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 0.600651 0.799511i \(-0.294908\pi\)
0.120423 + 0.992723i \(0.461575\pi\)
\(384\) 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 −0.331070 0.943606i \(-0.607410\pi\)
0.982722 0.185088i \(-0.0592569\pi\)
\(390\) −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 −0.478047 0.878334i \(-0.658655\pi\)
−0.853168 + 0.521637i \(0.825322\pi\)
\(398\) 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 −0.758942 0.651159i \(-0.774283\pi\)
0.982842 0.184449i \(-0.0590501\pi\)
\(402\) −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 −0.0392560 0.999229i \(-0.512499\pi\)
0.465618 + 0.884986i \(0.345832\pi\)
\(410\) 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 \(-0.979722\pi\)
0.997972 0.0636609i \(-0.0202776\pi\)
\(420\) 6.03331 6.68556i 0.294395 0.326222i
\(421\) 11.8588 + 11.8588i 0.577963 + 0.577963i 0.934342 0.356379i \(-0.115989\pi\)
−0.356379 + 0.934342i \(0.615989\pi\)
\(422\) −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 0.972087 + 0.234619i \(0.0753841\pi\)
−0.724543 + 0.689229i \(0.757949\pi\)
\(432\) 1.78368 4.88042i 0.0858174 0.234809i
\(433\) 8.74957i 0.420477i −0.977650 0.210239i \(-0.932576\pi\)
0.977650 0.210239i \(-0.0674241\pi\)
\(434\) −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 −0.863948 0.503581i \(-0.832015\pi\)
0.00414009 + 0.999991i \(0.498682\pi\)
\(440\) −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 −0.554993 0.831855i \(-0.687279\pi\)
0.442911 + 0.896566i \(0.353946\pi\)
\(444\) 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 0.998215 + 0.0597270i \(0.0190230\pi\)
0.0597270 + 0.998215i \(0.480977\pi\)
\(450\) −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 0.754254 + 0.656583i \(0.227999\pi\)
−0.981494 + 0.191491i \(0.938668\pi\)
\(458\) 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 −0.188852 + 0.982006i \(0.560477\pi\)
−0.982006 + 0.188852i \(0.939523\pi\)
\(462\) 0.699370 + 13.6376i 0.0325376 + 0.634481i
\(463\) 16.7958 16.7958i 0.780567 0.780567i −0.199359 0.979926i \(-0.563886\pi\)
0.979926 + 0.199359i \(0.0638860\pi\)
\(464\) −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 0.677884 0.735169i \(-0.262897\pi\)
−0.975617 + 0.219480i \(0.929564\pi\)
\(468\) −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 −0.700844 0.713315i \(-0.747193\pi\)
−0.250291 + 0.968171i \(0.580526\pi\)
\(480\) 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 −0.408825 0.912613i \(-0.634061\pi\)
0.102254 + 0.994758i \(0.467395\pi\)
\(488\) −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 −0.999696 0.0246524i \(-0.992152\pi\)
0.878088 + 0.478498i \(0.158819\pi\)
\(500\) −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 \(-0.956812\pi\)
0.990810 0.135262i \(-0.0431876\pi\)
\(504\) −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 0.756856 0.653582i \(-0.226734\pi\)
0.328666 + 0.944446i \(0.393401\pi\)
\(510\) −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 −0.220497 0.975388i \(-0.570768\pi\)
−0.954959 + 0.296737i \(0.904101\pi\)
\(522\) 17.5086 + 5.81896i 0.766331 + 0.254689i
\(523\) 0.968980 + 1.67832i 0.0423705 + 0.0733879i 0.886433 0.462857i \(-0.153176\pi\)
−0.844062 + 0.536245i \(0.819842\pi\)
\(524\) −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 0.477793 0.878473i \(-0.341437\pi\)
−0.0254556 + 0.999676i \(0.508104\pi\)
\(542\) −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 −0.690879 0.722970i \(-0.742776\pi\)
−0.236834 + 0.971550i \(0.576110\pi\)
\(558\) −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 0.465028 + 0.885296i \(0.346044\pi\)
−0.999203 + 0.0399219i \(0.987289\pi\)
\(564\) −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 0.520394 0.853926i \(-0.325785\pi\)
−0.999719 + 0.0237110i \(0.992452\pi\)
\(570\) −0.438569 + 14.8462i −0.0183696 + 0.621840i
\(571\) 39.5683 + 22.8448i 1.65588 + 0.956023i 0.974586 + 0.224015i \(0.0719164\pi\)
0.681295 + 0.732009i \(0.261417\pi\)
\(572\) 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 −0.170123 0.985423i \(-0.554416\pi\)
0.345381 + 0.938463i \(0.387750\pi\)
\(578\) 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 −0.841461 0.540318i \(-0.818304\pi\)
0.540318 + 0.841461i \(0.318304\pi\)
\(588\) −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 0.697111 + 0.716963i \(0.254468\pi\)
−0.962197 + 0.272353i \(0.912198\pi\)
\(594\) 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 0.894406 0.447257i \(-0.147599\pi\)
0.0598673 + 0.998206i \(0.480932\pi\)
\(600\) −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 0.963866 0.266389i \(-0.0858305\pi\)
−0.712632 + 0.701538i \(0.752497\pi\)
\(608\) −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 −0.132174 0.991227i \(-0.542196\pi\)
0.381147 + 0.924514i \(0.375529\pi\)
\(614\) −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 −0.515038 0.857168i \(-0.672222\pi\)
0.857168 + 0.515038i \(0.172222\pi\)
\(618\) 9.45974 15.3214i 0.380526 0.616316i
\(619\) 1.19950 + 4.47660i 0.0482120 + 0.179930i 0.985833 0.167729i \(-0.0536434\pi\)
−0.937621 + 0.347659i \(0.886977\pi\)
\(620\) −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 −0.749467 0.662042i \(-0.769690\pi\)
0.662042 + 0.749467i \(0.269690\pi\)
\(632\) 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 0.494951 + 0.868921i \(0.335186\pi\)
−0.999983 + 0.00582025i \(0.998147\pi\)
\(642\) −13.5373 + 21.9255i −0.534274 + 0.865332i
\(643\) −3.48176 3.48176i −0.137307 0.137307i 0.635112 0.772420i \(-0.280954\pi\)
−0.772420 + 0.635112i \(0.780954\pi\)
\(644\) 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 −0.929903 0.367805i \(-0.880109\pi\)
0.783480 + 0.621417i \(0.213443\pi\)
\(648\) −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 0.0788492 0.996887i \(-0.474875\pi\)
0.902754 + 0.430158i \(0.141542\pi\)
\(654\) 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 \(0.0941299\pi\)
−0.956593 + 0.291427i \(0.905870\pi\)
\(660\) −9.87037 + 2.33470i −0.384203 + 0.0908780i
\(661\) −9.14717 34.1377i −0.355784 1.32780i −0.879495 0.475907i \(-0.842120\pi\)
0.523712 0.851896i \(-0.324547\pi\)
\(662\) 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 \(-0.993969\pi\)
0.999820 0.0189466i \(-0.00603124\pi\)
\(674\) −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 −0.847356 0.531026i \(-0.821807\pi\)
0.0362043 + 0.999344i \(0.488473\pi\)
\(678\) 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 0.620506 0.784202i \(-0.286927\pi\)
0.929475 + 0.368885i \(0.120261\pi\)
\(684\) 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 0.810348 + 0.585948i \(0.199278\pi\)
−0.994756 + 0.102272i \(0.967389\pi\)
\(692\) 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 −0.261661 0.965160i \(-0.584270\pi\)
−0.709185 + 0.705022i \(0.750937\pi\)
\(710\) −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 0.795819 0.605534i \(-0.207040\pi\)
−0.922318 + 0.386433i \(0.873707\pi\)
\(720\) 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 \(-0.822164\pi\)
0.847951 0.530075i \(-0.177836\pi\)
\(728\) −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 −0.268488 0.963283i \(-0.586524\pi\)
0.714159 0.699984i \(-0.246809\pi\)
\(734\) −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 0.926829 0.375483i \(-0.122523\pi\)
−0.990399 + 0.138237i \(0.955856\pi\)
\(740\) 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 −0.673573 0.739121i \(-0.735241\pi\)
0.739121 + 0.673573i \(0.235241\pi\)
\(744\) −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 −0.669890 0.742460i \(-0.733659\pi\)
0.308044 + 0.951372i \(0.400326\pi\)
\(752\) −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 −0.707605 0.706608i \(-0.750224\pi\)
0.966108 0.258138i \(-0.0831091\pi\)
\(762\) −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 0.975025 + 0.222093i \(0.0712889\pi\)
0.222093 + 0.975025i \(0.428711\pi\)
\(770\) −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 −1.00000 0.000693289i \(-0.999779\pi\)
0.865679 0.500600i \(-0.166887\pi\)
\(774\) 5.48821 + 1.82400i 0.197270 + 0.0655622i