Properties

Label 546.2.bv.a.317.11
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 317.11
Character \(\chi\) \(=\) 546.317
Dual form 546.2.bv.a.515.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 + 0.258819i) q^{2} +(0.398691 + 1.68554i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-1.89818 + 0.508616i) q^{5} +(-0.821356 - 1.52492i) q^{6} +(1.71379 + 2.01567i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-2.68209 + 1.34402i) q^{9} +O(q^{10})\) \(q+(-0.965926 + 0.258819i) q^{2} +(0.398691 + 1.68554i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-1.89818 + 0.508616i) q^{5} +(-0.821356 - 1.52492i) q^{6} +(1.71379 + 2.01567i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-2.68209 + 1.34402i) q^{9} +(1.70186 - 0.982571i) q^{10} +(2.87835 + 0.771252i) q^{11} +(1.18805 + 1.26037i) q^{12} +(-3.35607 + 1.31786i) q^{13} +(-2.17709 - 1.50343i) q^{14} +(-1.61408 - 2.99668i) q^{15} +(0.500000 - 0.866025i) q^{16} +(1.01939 + 1.76563i) q^{17} +(2.24284 - 1.99240i) q^{18} +(-1.12940 - 4.21497i) q^{19} +(-1.38957 + 1.38957i) q^{20} +(-2.71422 + 3.69229i) q^{21} -2.97989 q^{22} +(-1.60906 + 2.78697i) q^{23} +(-1.47377 - 0.909940i) 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} +(2.33468 + 2.47682i) q^{30} +(-2.95519 - 0.791840i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(-0.152403 + 5.15907i) 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} +(-3.55935 - 5.13138i) q^{39} +(0.982571 - 1.70186i) q^{40} +(-7.22551 - 7.22551i) q^{41} +(1.66610 - 4.26897i) q^{42} -1.92779i q^{43} +(2.87835 - 0.771252i) q^{44} +(4.40751 - 3.91535i) 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} +(-2.56962 + 2.42216i) q^{51} +(-2.24751 + 2.81934i) q^{52} +(-3.77663 + 2.18044i) q^{53} +(4.25247 + 2.98605i) q^{54} -5.85591 q^{55} +(-2.63713 - 0.213464i) q^{56} +(6.65422 - 3.58412i) q^{57} +(-1.59176 - 5.94052i) q^{58} +(-2.58491 - 0.692626i) q^{59} +(-2.89618 - 1.78816i) q^{60} +(2.72566 - 4.72098i) q^{61} +3.05944 q^{62} +(-7.30564 - 3.10285i) q^{63} -1.00000i q^{64} +(5.70016 - 4.20850i) q^{65} +(-1.18806 - 5.02272i) 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} +(0.946159 - 2.84689i) q^{72} +(-3.05864 + 11.4150i) q^{73} +(-3.52144 + 2.03310i) q^{74} +(-1.35225 - 1.43458i) q^{75} +(-3.08557 - 3.08557i) q^{76} +(3.37829 + 7.12357i) q^{77} +(4.76616 + 4.03530i) q^{78} +(-4.89586 + 8.47987i) q^{79} +(-0.508616 + 1.89818i) q^{80} +(5.38722 - 7.20957i) q^{81} +(8.84941 + 5.10921i) q^{82} +(4.83395 + 4.83395i) q^{83} +(-0.504442 + 4.55473i) q^{84} +(-2.83301 - 2.83301i) q^{85} +(0.498949 + 1.86210i) q^{86} +(-10.3662 + 2.45198i) 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} +(0.156471 - 5.29679i) q^{93} +(-0.392473 - 0.679782i) q^{94} +(4.28760 + 7.42635i) q^{95} +(-1.73130 - 0.0511439i) q^{96} +(7.26398 - 7.26398i) q^{97} +(-0.700646 - 6.96485i) q^{98} +(-8.75658 + 1.79999i) 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
\(3\) 0.398691 + 1.68554i 0.230184 + 0.973147i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) −1.89818 + 0.508616i −0.848893 + 0.227460i −0.656939 0.753944i \(-0.728149\pi\)
−0.191954 + 0.981404i \(0.561482\pi\)
\(6\) −0.821356 1.52492i −0.335317 0.622545i
\(7\) 1.71379 + 2.01567i 0.647751 + 0.761852i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) −2.68209 + 1.34402i −0.894030 + 0.448007i
\(10\) 1.70186 0.982571i 0.538177 0.310716i
\(11\) 2.87835 + 0.771252i 0.867856 + 0.232541i 0.665160 0.746701i \(-0.268363\pi\)
0.202695 + 0.979242i \(0.435030\pi\)
\(12\) 1.18805 + 1.26037i 0.342960 + 0.363839i
\(13\) −3.35607 + 1.31786i −0.930808 + 0.365509i
\(14\) −2.17709 1.50343i −0.581851 0.401808i
\(15\) −1.61408 2.99668i −0.416754 0.773740i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 1.01939 + 1.76563i 0.247238 + 0.428229i 0.962758 0.270363i \(-0.0871437\pi\)
−0.715520 + 0.698592i \(0.753810\pi\)
\(18\) 2.24284 1.99240i 0.528643 0.469613i
\(19\) −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
\(21\) −2.71422 + 3.69229i −0.592292 + 0.805723i
\(22\) −2.97989 −0.635314
\(23\) −1.60906 + 2.78697i −0.335512 + 0.581124i −0.983583 0.180456i \(-0.942243\pi\)
0.648071 + 0.761580i \(0.275576\pi\)
\(24\) −1.47377 0.909940i −0.300833 0.185741i
\(25\) −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 \(0.806548\pi\)
\(30\) 2.33468 + 2.47682i 0.426253 + 0.452203i
\(31\) −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
\(33\) −0.152403 + 5.15907i −0.0265300 + 0.898078i
\(34\) −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
\(39\) −3.55935 5.13138i −0.569952 0.821678i
\(40\) 0.982571 1.70186i 0.155358 0.269088i
\(41\) −7.22551 7.22551i −1.12844 1.12844i −0.990432 0.138004i \(-0.955931\pi\)
−0.138004 0.990432i \(-0.544069\pi\)
\(42\) 1.66610 4.26897i 0.257085 0.658716i
\(43\) 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
\(45\) 4.40751 3.91535i 0.657032 0.583666i
\(46\) 0.832911 3.10846i 0.122806 0.458318i
\(47\) 0.203159 + 0.758199i 0.0296338 + 0.110595i 0.979159 0.203097i \(-0.0651008\pi\)
−0.949525 + 0.313692i \(0.898434\pi\)
\(48\) 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
\(51\) −2.56962 + 2.42216i −0.359819 + 0.339170i
\(52\) −2.24751 + 2.81934i −0.311674 + 0.390972i
\(53\) −3.77663 + 2.18044i −0.518759 + 0.299506i −0.736427 0.676517i \(-0.763488\pi\)
0.217667 + 0.976023i \(0.430155\pi\)
\(54\) 4.25247 + 2.98605i 0.578688 + 0.406350i
\(55\) −5.85591 −0.789610
\(56\) −2.63713 0.213464i −0.352401 0.0285253i
\(57\) 6.65422 3.58412i 0.881373 0.474728i
\(58\) −1.59176 5.94052i −0.209008 0.780029i
\(59\) −2.58491 0.692626i −0.336527 0.0901722i 0.0865982 0.996243i \(-0.472400\pi\)
−0.423125 + 0.906071i \(0.639067\pi\)
\(60\) −2.89618 1.78816i −0.373895 0.230851i
\(61\) 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
\(63\) −7.30564 3.10285i −0.920424 0.390922i
\(64\) 1.00000i 0.125000i
\(65\) 5.70016 4.20850i 0.707017 0.522000i
\(66\) −1.18806 5.02272i −0.146239 0.618254i
\(67\) −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 0.996070 0.0885725i \(-0.0282305\pi\)
−0.0885725 + 0.996070i \(0.528231\pi\)
\(72\) 0.946159 2.84689i 0.111506 0.335509i
\(73\) −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
\(75\) −1.35225 1.43458i −0.156144 0.165651i
\(76\) −3.08557 3.08557i −0.353939 0.353939i
\(77\) 3.37829 + 7.12357i 0.384992 + 0.811806i
\(78\) 4.76616 + 4.03530i 0.539662 + 0.456908i
\(79\) −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
\(81\) 5.38722 7.20957i 0.598580 0.801063i
\(82\) 8.84941 + 5.10921i 0.977254 + 0.564218i
\(83\) 4.83395 + 4.83395i 0.530595 + 0.530595i 0.920749 0.390154i \(-0.127578\pi\)
−0.390154 + 0.920749i \(0.627578\pi\)
\(84\) −0.504442 + 4.55473i −0.0550392 + 0.496961i
\(85\) −2.83301 2.83301i −0.307284 0.307284i
\(86\) 0.498949 + 1.86210i 0.0538030 + 0.200796i
\(87\) −10.3662 + 2.45198i −1.11137 + 0.262880i
\(88\) −2.58066 + 1.48994i −0.275099 + 0.158829i
\(89\) −3.24426 12.1077i −0.343890 1.28342i −0.893903 0.448260i \(-0.852044\pi\)
0.550013 0.835156i \(-0.314623\pi\)
\(90\) −3.24396 + 4.92268i −0.341943 + 0.518896i
\(91\) −8.40798 4.50621i −0.881396 0.472379i
\(92\) 3.21812i 0.335512i
\(93\) 0.156471 5.29679i 0.0162253 0.549251i
\(94\) −0.392473 0.679782i −0.0404805 0.0701142i
\(95\) 4.28760 + 7.42635i 0.439899 + 0.761927i
\(96\) −1.73130 0.0511439i −0.176700 0.00521985i
\(97\) 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
\(99\) −8.75658 + 1.79999i −0.880069 + 0.180906i
\(100\) −0.569107 + 0.985722i −0.0569107 + 0.0985722i
\(101\) 2.37895 + 4.12046i 0.236714 + 0.410001i 0.959769 0.280789i \(-0.0905962\pi\)
−0.723055 + 0.690790i \(0.757263\pi\)
\(102\) 1.85516 3.00470i 0.183689 0.297509i
\(103\) 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
\(105\) 3.27413 8.38913i 0.319523 0.818696i
\(106\) 3.08360 3.08360i 0.299506 0.299506i
\(107\) 12.8840 + 7.43856i 1.24554 + 0.719113i 0.970217 0.242238i \(-0.0778816\pi\)
0.275324 + 0.961352i \(0.411215\pi\)
\(108\) −4.88042 1.78368i −0.469618 0.171635i
\(109\) 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
\(111\) 3.33980 + 6.20063i 0.317000 + 0.588538i
\(112\) 2.60252 0.476348i 0.245915 0.0450106i
\(113\) 16.1384i 1.51817i 0.650991 + 0.759085i \(0.274353\pi\)
−0.650991 + 0.759085i \(0.725647\pi\)
\(114\) −5.49984 + 5.18423i −0.515108 + 0.485547i
\(115\) 1.63679 6.10858i 0.152631 0.569628i
\(116\) 3.07504 + 5.32613i 0.285510 + 0.494519i
\(117\) 7.23006 8.04526i 0.668420 0.743784i
\(118\) 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
\(123\) 9.29815 15.0596i 0.838386 1.35788i
\(124\) −2.95519 + 0.791840i −0.265384 + 0.0711094i
\(125\) 8.52945 8.52945i 0.762897 0.762897i
\(126\) 7.85978 + 1.10628i 0.700205 + 0.0985557i
\(127\) 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
\(129\) 3.24937 0.768593i 0.286091 0.0676708i
\(130\) −4.41669 + 5.54041i −0.387369 + 0.485926i
\(131\) 0.524403 + 0.302764i 0.0458173 + 0.0264526i 0.522734 0.852496i \(-0.324912\pi\)
−0.476916 + 0.878949i \(0.658246\pi\)
\(132\) 2.44755 + 4.54409i 0.213032 + 0.395512i
\(133\) 6.56045 9.50006i 0.568863 0.823759i
\(134\) 0.679003 0.0586569
\(135\) 8.35671 + 5.86801i 0.719231 + 0.505038i
\(136\) −1.96931 0.527674i −0.168867 0.0452477i
\(137\) 4.50842 + 1.20803i 0.385181 + 0.103209i 0.446213 0.894927i \(-0.352772\pi\)
−0.0610320 + 0.998136i \(0.519439\pi\)
\(138\) 5.57152 + 0.164587i 0.474279 + 0.0140106i
\(139\) 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
\(141\) −1.19698 + 0.644719i −0.100804 + 0.0542952i
\(142\) −9.36527 5.40704i −0.785916 0.453749i
\(143\) −10.6764 + 1.20489i −0.892803 + 0.100758i
\(144\) −0.177090 + 2.99477i −0.0147575 + 0.249564i
\(145\) −3.12803 11.6740i −0.259769 0.969471i
\(146\) 11.8177i 0.978037i
\(147\) −12.0940 + 0.856815i −0.997500 + 0.0706689i
\(148\) 2.87524 2.87524i 0.236343 0.236343i
\(149\) 19.1684 5.13616i 1.57034 0.420771i 0.634420 0.772988i \(-0.281239\pi\)
0.935918 + 0.352218i \(0.114572\pi\)
\(150\) 1.67747 + 1.03571i 0.136965 + 0.0845650i
\(151\) −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
\(156\) −5.64817 2.66423i −0.452216 0.213309i
\(157\) 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
\(159\) −5.18092 5.49633i −0.410874 0.435888i
\(160\) 1.96514i 0.155358i
\(161\) −8.37521 + 1.53294i −0.660059 + 0.120813i
\(162\) −3.33768 + 8.35822i −0.262233 + 0.656684i
\(163\) 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
\(165\) −2.33470 9.87037i −0.181756 0.768407i
\(166\) −5.92036 3.41812i −0.459509 0.265298i
\(167\) 15.2569 15.2569i 1.18061 1.18061i 0.201026 0.979586i \(-0.435572\pi\)
0.979586 0.201026i \(-0.0644277\pi\)
\(168\) −0.691596 4.53009i −0.0533578 0.349504i
\(169\) 9.52648 8.84569i 0.732806 0.680438i
\(170\) 3.46972 + 2.00324i 0.266115 + 0.153642i
\(171\) 8.69415 + 9.78700i 0.664858 + 0.748430i
\(172\) −0.963895 1.66952i −0.0734963 0.127299i
\(173\) 3.41329 5.91199i 0.259508 0.449481i −0.706602 0.707611i \(-0.749773\pi\)
0.966110 + 0.258130i \(0.0831064\pi\)
\(174\) 9.37837 5.05141i 0.710973 0.382946i
\(175\) −2.83645 1.01156i −0.214415 0.0764670i
\(176\) 2.10710 2.10710i 0.158829 0.158829i
\(177\) 0.136866 4.63312i 0.0102875 0.348247i
\(178\) 6.26742 + 10.8555i 0.469763 + 0.813654i
\(179\) −5.31136 9.19954i −0.396990 0.687606i 0.596363 0.802715i \(-0.296612\pi\)
−0.993353 + 0.115108i \(0.963278\pi\)
\(180\) 1.85934 5.59455i 0.138587 0.416993i
\(181\) 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
\(186\) 1.21977 + 5.15680i 0.0894379 + 0.378115i
\(187\) 1.57241 + 5.86832i 0.114986 + 0.429134i
\(188\) 0.555040 + 0.555040i 0.0404805 + 0.0404805i
\(189\) 2.31729 13.5510i 0.168558 0.985692i
\(190\) −6.06359 6.06359i −0.439899 0.439899i
\(191\) 20.9344 + 12.0865i 1.51476 + 0.874546i 0.999850 + 0.0173008i \(0.00550729\pi\)
0.514908 + 0.857245i \(0.327826\pi\)
\(192\) 1.68554 0.398691i 0.121643 0.0287731i
\(193\) 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
\(195\) 9.36619 + 7.92995i 0.670727 + 0.567875i
\(196\) 2.47941 + 6.54619i 0.177100 + 0.467585i
\(197\) −14.7417 14.7417i −1.05030 1.05030i −0.998666 0.0516350i \(-0.983557\pi\)
−0.0516350 0.998666i \(-0.516443\pi\)
\(198\) 7.99233 4.00503i 0.567990 0.284625i
\(199\) 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
\(201\) 0.0347268 1.17555i 0.00244944 0.0829172i
\(202\) −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
\(207\) 0.569898 9.63752i 0.0396106 0.669854i
\(208\) −0.536735 + 3.56538i −0.0372159 + 0.247214i
\(209\) 13.0032i 0.899451i
\(210\) −0.991301 + 8.95069i −0.0684063 + 0.617656i
\(211\) −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
\(213\) −9.84016 + 15.9375i −0.674237 + 1.09202i
\(214\) −14.3702 3.85048i −0.982327 0.263214i
\(215\) 0.980506 + 3.65930i 0.0668699 + 0.249562i
\(216\) 5.17577 + 0.459760i 0.352167 + 0.0312827i
\(217\) −3.46848 7.31373i −0.235455 0.496489i
\(218\) −10.8726 −0.736382
\(219\) −20.4599 0.604401i −1.38255 0.0408416i
\(220\) −5.07136 + 2.92795i −0.341911 + 0.197403i
\(221\) −5.74800 4.58218i −0.386653 0.308231i
\(222\) −4.83084 5.12494i −0.324225 0.343964i
\(223\) −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 −0.993038 0.117794i \(-0.962418\pi\)
0.918893 + 0.394507i \(0.129084\pi\)
\(228\) 3.97066 6.43104i 0.262964 0.425906i
\(229\) 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
\(231\) −10.6602 + 8.53435i −0.701388 + 0.561519i
\(232\) −4.34877 4.34877i −0.285510 0.285510i
\(233\) −7.85397 + 13.6035i −0.514530 + 0.891193i 0.485327 + 0.874332i \(0.338700\pi\)
−0.999858 + 0.0168603i \(0.994633\pi\)
\(234\) −4.90144 + 9.64240i −0.320417 + 0.630343i
\(235\) −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 \(-0.934470\pi\)
−0.204417 0.978884i \(-0.565530\pi\)
\(240\) −3.40224 0.100505i −0.219614 0.00648757i
\(241\) −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
\(243\) 14.2998 + 6.20599i 0.917336 + 0.398114i
\(244\) 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
\(249\) −6.22057 + 10.0751i −0.394212 + 0.638482i
\(250\) −6.03123 + 10.4464i −0.381449 + 0.660689i
\(251\) −29.6402 −1.87087 −0.935436 0.353497i \(-0.884993\pi\)
−0.935436 + 0.353497i \(0.884993\pi\)
\(252\) −7.87829 + 0.965671i −0.496286 + 0.0608316i
\(253\) −6.78090 + 6.78090i −0.426311 + 0.426311i
\(254\) −1.95328 7.28975i −0.122560 0.457399i
\(255\) 3.64566 5.90466i 0.228300 0.369764i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −14.7359 + 25.5233i −0.919199 + 1.59210i −0.118564 + 0.992946i \(0.537829\pi\)
−0.800635 + 0.599153i \(0.795504\pi\)
\(258\) −2.93972 + 1.58340i −0.183019 + 0.0985783i
\(259\) 8.85248 + 6.11325i 0.550066 + 0.379859i
\(260\) 2.83223 6.49474i 0.175647 0.402787i
\(261\) −8.26583 16.4951i −0.511642 1.02102i
\(262\) −0.584896 0.156722i −0.0361350 0.00968234i
\(263\) −14.8496 + 8.57339i −0.915663 + 0.528658i −0.882249 0.470784i \(-0.843971\pi\)
−0.0334138 + 0.999442i \(0.510638\pi\)
\(264\) −3.54025 3.75578i −0.217887 0.231152i
\(265\) 6.05972 6.05972i 0.372246 0.372246i
\(266\) −3.87811 + 10.8743i −0.237782 + 0.666747i
\(267\) 19.1146 10.2956i 1.16979 0.630078i
\(268\) −0.655866 + 0.175739i −0.0400634 + 0.0107350i
\(269\) −10.0976 + 5.82987i −0.615663 + 0.355453i −0.775179 0.631742i \(-0.782340\pi\)
0.159515 + 0.987195i \(0.449007\pi\)
\(270\) −9.59072 3.50519i −0.583673 0.213319i
\(271\) −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
\(273\) 4.24321 15.9686i 0.256811 0.966462i
\(274\) −4.66746 −0.281972
\(275\) −3.27618 + 0.877849i −0.197561 + 0.0529363i
\(276\) −5.42427 + 1.28304i −0.326503 + 0.0772297i
\(277\) 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
\(279\) 8.99033 1.84804i 0.538237 0.110639i
\(280\) 5.11432 0.936092i 0.305639 0.0559422i
\(281\) −0.448744 + 0.448744i −0.0267698 + 0.0267698i −0.720365 0.693595i \(-0.756026\pi\)
0.693595 + 0.720365i \(0.256026\pi\)
\(282\) 0.989325 0.932551i 0.0589135 0.0555326i
\(283\) 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
\(285\) −10.8080 + 10.1877i −0.640209 + 0.603470i
\(286\) 10.0007 3.92708i 0.591356 0.232213i
\(287\) 2.18127 26.9473i 0.128756 1.59065i
\(288\) −0.604047 2.93856i −0.0355938 0.173156i
\(289\) 6.42170 11.1227i 0.377747 0.654277i
\(290\) 6.04290 + 10.4666i 0.354851 + 0.614620i
\(291\) 15.1398 + 9.34765i 0.887512 + 0.547969i
\(292\) 3.05864 + 11.4150i 0.178993 + 0.668012i
\(293\) −2.61973 + 2.61973i −0.153046 + 0.153046i −0.779477 0.626431i \(-0.784515\pi\)
0.626431 + 0.779477i \(0.284515\pi\)
\(294\) 11.4602 3.95779i 0.668372 0.230823i
\(295\) 5.25892 0.306186
\(296\) −2.03310 + 3.52144i −0.118172 + 0.204679i
\(297\) −6.52513 14.0419i −0.378626 0.814795i
\(298\) −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
\(303\) −5.99673 + 5.65260i −0.344503 + 0.324733i
\(304\) −4.21497 1.12940i −0.241745 0.0647754i
\(305\) −2.77263 + 10.3476i −0.158760 + 0.592501i
\(306\) 5.80417 + 1.92901i 0.331802 + 0.110274i
\(307\) −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 0.587531 0.809202i \(-0.300100\pi\)
−0.994555 + 0.104216i \(0.966767\pi\)
\(312\) 6.14527 + 1.11159i 0.347907 + 0.0629316i
\(313\) 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
\(315\) 15.4456 + 2.17401i 0.870260 + 0.122491i
\(316\) 9.79172i 0.550827i
\(317\) 31.6985 8.49358i 1.78036 0.477047i 0.789714 0.613475i \(-0.210229\pi\)
0.990650 + 0.136428i \(0.0435622\pi\)
\(318\) 6.42694 + 3.96813i 0.360405 + 0.222522i
\(319\) −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
\(324\) 1.06069 8.93728i 0.0589271 0.496515i
\(325\) 2.55815 3.20901i 0.141901 0.178004i
\(326\) −4.13336 + 2.38640i −0.228926 + 0.132170i
\(327\) −0.556064 + 18.8236i −0.0307504 + 1.04095i
\(328\) 10.2184 0.564218
\(329\) −1.18011 + 1.70889i −0.0650615 + 0.0942143i
\(330\) 4.80978 + 8.92978i 0.264770 + 0.491568i
\(331\) 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
\(333\) −9.11986 + 8.10150i −0.499765 + 0.443960i
\(334\) −10.7882 + 18.6858i −0.590306 + 1.02244i
\(335\) 1.33434 0.0729026
\(336\) 1.84050 + 4.19673i 0.100408 + 0.228950i
\(337\) 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
\(339\) −27.2019 + 6.43423i −1.47740 + 0.349459i
\(340\) −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
\(345\) 10.9488 + 0.323437i 0.589465 + 0.0174133i
\(346\) −1.76685 + 6.59397i −0.0949864 + 0.354494i
\(347\) 22.0582 12.7353i 1.18415 0.683666i 0.227175 0.973854i \(-0.427051\pi\)
0.956970 + 0.290187i \(0.0937177\pi\)
\(348\) −7.75141 + 7.30659i −0.415519 + 0.391674i
\(349\) 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
\(351\) 16.4432 + 8.97899i 0.877671 + 0.479263i
\(352\) −1.48994 + 2.58066i −0.0794143 + 0.137550i
\(353\) 5.27871 19.7004i 0.280957 1.04855i −0.670786 0.741651i \(-0.734043\pi\)
0.951743 0.306896i \(-0.0992902\pi\)
\(354\) 1.06694 + 4.51067i 0.0567071 + 0.239740i
\(355\) −18.4041 10.6256i −0.976787 0.563948i
\(356\) −8.86347 8.86347i −0.469763 0.469763i
\(357\) −9.28607 1.02845i −0.491471 0.0544311i
\(358\) 7.51140 + 7.51140i 0.396990 + 0.396990i
\(359\) 5.92711 + 22.1203i 0.312821 + 1.16746i 0.926001 + 0.377520i \(0.123223\pi\)
−0.613181 + 0.789943i \(0.710110\pi\)
\(360\) −0.348008 + 5.88515i −0.0183416 + 0.310175i
\(361\) −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
\(366\) −9.43784 0.278801i −0.493324 0.0145732i
\(367\) −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
\(369\) 29.0907 + 9.66825i 1.51440 + 0.503309i
\(370\) 5.65026 5.65026i 0.293743 0.293743i
\(371\) −10.8674 3.87563i −0.564206 0.201213i
\(372\) −2.51289 4.66539i −0.130287 0.241889i
\(373\) 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
\(375\) 17.7773 + 10.9761i 0.918018 + 0.566804i
\(376\) −0.679782 0.392473i −0.0350571 0.0202402i
\(377\) −8.10496 20.6401i −0.417427 1.06302i
\(378\) 1.26894 + 13.6890i 0.0652671 + 0.704088i
\(379\) −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
\(381\) −12.7206 + 3.00888i −0.651696 + 0.154150i
\(382\) −23.3493 6.25642i −1.19465 0.320106i
\(383\) −14.1117 + 3.78122i −0.721074 + 0.193211i −0.600651 0.799511i \(-0.705092\pi\)
−0.120423 + 0.992723i \(0.538425\pi\)
\(384\) −1.52492 + 0.821356i −0.0778181 + 0.0419146i
\(385\) −10.0358 11.8036i −0.511471 0.601566i
\(386\) 7.15556i 0.364209i
\(387\) 2.59099 + 5.17051i 0.131707 + 0.262832i
\(388\) 2.65880 9.92278i 0.134980 0.503753i
\(389\) −12.8526 22.2613i −0.651652 1.12869i −0.982722 0.185088i \(-0.940743\pi\)
0.331070 0.943606i \(-0.392590\pi\)
\(390\) −11.0995 5.23559i −0.562043 0.265115i
\(391\) −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
\(396\) −6.68342 + 5.93713i −0.335855 + 0.298352i
\(397\) −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
\(399\) 18.6283 + 7.27031i 0.932582 + 0.363971i
\(400\) 1.13821i 0.0569107i
\(401\) −4.48360 16.7330i −0.223900 0.835608i −0.982842 0.184449i \(-0.940950\pi\)
0.758942 0.651159i \(-0.225717\pi\)
\(402\) 0.270712 + 1.14449i 0.0135019 + 0.0570818i
\(403\) 10.9614 1.23706i 0.546025 0.0616222i
\(404\) 4.12046 + 2.37895i 0.205000 + 0.118357i
\(405\) −6.55903 + 16.4251i −0.325921 + 0.816170i
\(406\) 9.24621 13.3893i 0.458882 0.664498i
\(407\) 12.1168 0.600609
\(408\) 0.104271 3.52972i 0.00516218 0.174747i
\(409\) 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
\(411\) −0.238712 + 8.08076i −0.0117748 + 0.398595i
\(412\) 10.3960 0.512174
\(413\) −3.03389 6.39735i −0.149288 0.314793i
\(414\) 1.94390 + 9.45663i 0.0955373 + 0.464768i
\(415\) −11.6343 6.71709i −0.571108 0.329729i
\(416\) −0.404341 3.58281i −0.0198245 0.175662i
\(417\) 0.480695 + 2.03223i 0.0235397 + 0.0995186i
\(418\) 3.36548 + 12.5601i 0.164611 + 0.614336i
\(419\) 2.60621i 0.127322i −0.997972 0.0636609i \(-0.979722\pi\)
0.997972 0.0636609i \(-0.0202776\pi\)
\(420\) −1.35909 8.90227i −0.0663166 0.434386i
\(421\) 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
\(423\) −1.56392 1.76051i −0.0760406 0.0855989i
\(424\) 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
\(429\) −6.28747 17.5151i −0.303562 0.845635i
\(430\) −1.89419 3.28084i −0.0913460 0.158216i
\(431\) −5.13915 + 19.1796i −0.247544 + 0.923848i 0.724543 + 0.689229i \(0.242051\pi\)
−0.972087 + 0.234619i \(0.924616\pi\)
\(432\) −5.11841 + 0.895495i −0.246259 + 0.0430845i
\(433\) 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
\(435\) 18.4298 9.92674i 0.883643 0.475951i
\(436\) 10.5021 2.81402i 0.502958 0.134767i
\(437\) 13.5643 + 3.63454i 0.648867 + 0.173863i
\(438\) 19.9191 4.71160i 0.951774 0.225129i
\(439\) −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
\(441\) −6.26598 20.0434i −0.298380 0.954447i
\(442\) 6.73810 + 2.93835i 0.320499 + 0.139763i
\(443\) 2.35905 + 1.36200i 0.112082 + 0.0647106i 0.554993 0.831855i \(-0.312721\pi\)
−0.442911 + 0.896566i \(0.646054\pi\)
\(444\) 5.99267 + 3.70000i 0.284399 + 0.175594i
\(445\) 12.3164 + 21.3326i 0.583852 + 1.01126i
\(446\) 11.6057 20.1017i 0.549546 0.951841i
\(447\) 16.2995 + 30.2614i 0.770939 + 1.43132i
\(448\) 2.01567 1.71379i 0.0952315 0.0809689i
\(449\) −22.4174 + 22.4174i −1.05794 + 1.05794i −0.0597270 + 0.998215i \(0.519023\pi\)
−0.998215 + 0.0597270i \(0.980977\pi\)
\(450\) −1.07693 + 3.24037i −0.0507670 + 0.152752i
\(451\) −15.2249 26.3703i −0.716911 1.24173i
\(452\) 8.06919 + 13.9762i 0.379543 + 0.657387i
\(453\) −12.3801 0.365720i −0.581670 0.0171830i
\(454\) 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
\(459\) 3.63653 9.95008i 0.169739 0.464430i
\(460\) −1.63679 6.10858i −0.0763157 0.284814i
\(461\) 25.1394 + 25.1394i 1.17086 + 1.17086i 0.982006 + 0.188852i \(0.0604765\pi\)
0.188852 + 0.982006i \(0.439523\pi\)
\(462\) 8.08808 11.0026i 0.376292 0.511888i
\(463\) 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
\(465\) 2.39702 + 10.1339i 0.111159 + 0.469946i
\(466\) 4.06551 15.1727i 0.188331 0.702862i
\(467\) 6.43406 11.1441i 0.297733 0.515688i −0.677884 0.735169i \(-0.737103\pi\)
0.975617 + 0.219480i \(0.0704362\pi\)
\(468\) 2.23879 10.5824i 0.103488 0.489173i
\(469\) −0.769784 1.62319i −0.0355453 0.0749519i
\(470\) 1.09073 + 1.09073i 0.0503118 + 0.0503118i
\(471\) −23.6092 + 22.2544i −1.08785 + 1.02543i
\(472\) 2.31757 1.33805i 0.106675 0.0615887i
\(473\) 1.48681 5.54886i 0.0683637 0.255137i
\(474\) 16.9524 + 0.500786i 0.778647 + 0.0230019i
\(475\) 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 \(-0.252807\pi\)
0.250291 + 0.968171i \(0.419474\pi\)
\(480\) 3.31233 0.783485i 0.151186 0.0357610i
\(481\) −11.7946 + 8.70808i −0.537786 + 0.397054i
\(482\) 29.0777i 1.32445i
\(483\) −5.92296 13.5056i −0.269504 0.614525i
\(484\) −2.12026 −0.0963756
\(485\) −10.0938 + 17.4829i −0.458335 + 0.793859i
\(486\) −15.4188 2.29345i −0.699412 0.104033i
\(487\) −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
\(489\) 3.92016 + 7.27812i 0.177276 + 0.329128i
\(490\) 4.87239 + 12.8642i 0.220112 + 0.581145i
\(491\) −4.58195 −0.206780 −0.103390 0.994641i \(-0.532969\pi\)
−0.103390 + 0.994641i \(0.532969\pi\)
\(492\) 0.522609 17.6911i 0.0235611 0.797577i
\(493\) −10.8588 + 6.26932i −0.489055 + 0.282356i
\(494\) −12.3026 9.80738i −0.553522 0.441255i
\(495\) 15.7061 7.87045i 0.705936 0.353751i
\(496\) −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
\(501\) 31.7988 + 19.6333i 1.42067 + 0.877151i
\(502\) 28.6302 7.67144i 1.27783 0.342393i
\(503\) 6.06721i 0.270524i −0.990810 0.135262i \(-0.956812\pi\)
0.990810 0.135262i \(-0.0431876\pi\)
\(504\) 7.35991 2.97182i 0.327836 0.132375i
\(505\) −6.61141 6.61141i −0.294204 0.294204i
\(506\) 4.79482 8.30487i 0.213156 0.369197i
\(507\) 18.7079 + 12.5306i 0.830846 + 0.556502i
\(508\) 3.77345 + 6.53581i 0.167420 + 0.289980i
\(509\) −24.4905 + 6.56221i −1.08552 + 0.290865i −0.756856 0.653582i \(-0.773266\pi\)
−0.328666 + 0.944446i \(0.606599\pi\)
\(510\) −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
\(513\) −13.0301 + 18.5563i −0.575293 + 0.819282i
\(514\) 7.62785 28.4675i 0.336450 1.25565i
\(515\) −19.7335 5.28758i −0.869562 0.232999i
\(516\) 2.42974 2.29031i 0.106963 0.100825i
\(517\) 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 \(-0.429232\pi\)
0.954959 + 0.296737i \(0.0958986\pi\)
\(522\) 12.2534 + 13.7937i 0.536318 + 0.603733i
\(523\) 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
\(525\) 0.574163 5.18425i 0.0250585 0.226259i
\(526\) 12.1246 12.1246i 0.528658 0.528658i
\(527\) −1.61439 6.02497i −0.0703237 0.262452i
\(528\) 4.39168 + 2.71152i 0.191123 + 0.118004i
\(529\) 6.32185 + 10.9498i 0.274863 + 0.476077i
\(530\) −4.28487 + 7.42161i −0.186123 + 0.322374i
\(531\) 7.86388 1.61649i 0.341263 0.0701497i
\(532\) 0.931484 11.5075i 0.0403850 0.498914i
\(533\) 33.7716 + 14.7271i 1.46281 + 0.637903i
\(534\) −15.7986 + 14.8920i −0.683672 + 0.644439i
\(535\) −28.2395 7.56675i −1.22090 0.327139i
\(536\) 0.588033 0.339501i 0.0253992 0.0146642i
\(537\) 13.3886 12.6203i 0.577761 0.544605i
\(538\) 8.24468 8.24468i 0.355453 0.355453i
\(539\) −8.56911 + 19.0178i −0.369098 + 0.819155i
\(540\) 10.1711 + 0.903493i 0.437696 + 0.0388802i
\(541\) 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
\(543\) −33.1963 + 7.85212i −1.42459 + 0.336967i
\(544\) −1.96931 + 0.527674i −0.0844333 + 0.0226238i
\(545\) −21.3661 −0.915224
\(546\) 0.0343447 + 16.5227i 0.00146982 + 0.707105i
\(547\) −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
\(549\) −0.965375 + 16.3254i −0.0412012 + 0.696752i
\(550\) 2.93734 1.69587i 0.125249 0.0723123i
\(551\) 25.9224 6.94589i 1.10433 0.295905i
\(552\) 4.90737 2.64322i 0.208871 0.112503i
\(553\) −25.4831 + 4.66426i −1.08365 + 0.198345i
\(554\) −20.2268 + 20.2268i −0.859356 + 0.859356i
\(555\) −9.49329 10.0712i −0.402968 0.427500i
\(556\) 1.04415 0.602841i 0.0442819 0.0255662i
\(557\) 21.8948 + 5.86670i 0.927713 + 0.248580i 0.690879 0.722970i \(-0.257224\pi\)
0.236834 + 0.971550i \(0.423890\pi\)
\(558\) −8.20568 + 4.11194i −0.347374 + 0.174072i
\(559\) 2.54056 + 6.46981i 0.107454 + 0.273644i
\(560\) −4.69777 + 2.22788i −0.198517 + 0.0941450i
\(561\) −9.26437 + 4.99001i −0.391142 + 0.210678i
\(562\) 0.317310 0.549597i 0.0133849 0.0231834i
\(563\) 12.6747 + 21.9532i 0.534175 + 0.925218i 0.999203 + 0.0399219i \(0.0127109\pi\)
−0.465028 + 0.885296i \(0.653956\pi\)
\(564\) −0.714253 + 1.15683i −0.0300755 + 0.0487114i
\(565\) −8.20824 30.6336i −0.345323 1.28876i
\(566\) −20.3790 + 20.3790i −0.856594 + 0.856594i
\(567\) 23.7647 1.49679i 0.998022 0.0628594i
\(568\) −10.8141 −0.453749
\(569\) 11.4337 19.8037i 0.479325 0.830215i −0.520394 0.853926i \(-0.674215\pi\)
0.999719 + 0.0237110i \(0.00754816\pi\)
\(570\) 7.80292 12.6379i 0.326828 0.529344i
\(571\) 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
\(576\) 1.34402 + 2.68209i 0.0560008 + 0.111754i
\(577\) 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
\(579\) 12.3884 + 0.365963i 0.514844 + 0.0152089i
\(580\) −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
\(585\) −9.63203 + 18.9487i −0.398235 + 0.783432i
\(586\) 1.85243 3.20850i 0.0765231 0.132542i
\(587\) 7.29612 + 7.29612i 0.301143 + 0.301143i 0.841461 0.540318i \(-0.181696\pi\)
−0.540318 + 0.841461i \(0.681696\pi\)
\(588\) −10.0453 + 6.78905i −0.414263 + 0.279976i
\(589\) 13.3503i 0.550091i
\(590\) −5.07973 + 1.36111i −0.209129 + 0.0560359i
\(591\) 18.9703 30.7251i 0.780334 1.26386i
\(592\) 1.05241 3.92765i 0.0432538 0.161425i
\(593\) 6.45528 + 24.0914i 0.265086 + 0.989316i 0.962197 + 0.272353i \(0.0878018\pi\)
−0.697111 + 0.716963i \(0.745532\pi\)
\(594\) 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
\(597\) 5.32571 + 5.64993i 0.217967 + 0.231236i
\(598\) 1.30122 + 11.5299i 0.0532108 + 0.471493i
\(599\) −23.3553 + 13.4842i −0.954273 + 0.550950i −0.894406 0.447257i \(-0.852401\pi\)
−0.0598673 + 0.998206i \(0.519068\pi\)
\(600\) 1.97058 + 0.0582126i 0.0804488 + 0.00237652i
\(601\) 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
\(603\) 1.99529 0.410150i 0.0812544 0.0167026i
\(604\) 1.85076 + 6.90714i 0.0753065 + 0.281048i
\(605\) 4.02465 + 1.07840i 0.163625 + 0.0438432i
\(606\) 4.32940 7.01206i 0.175870 0.284846i
\(607\) 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
\(609\) −22.7079 16.6927i −0.920170 0.676422i
\(610\) 10.7126i 0.433741i
\(611\) −1.68102 2.27684i −0.0680067 0.0921110i
\(612\) −6.10566 0.361047i −0.246807 0.0145945i
\(613\) 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 0.515038 0.857168i \(-0.327778\pi\)
−0.857168 + 0.515038i \(0.827778\pi\)
\(618\) 0.531692 17.9986i 0.0213878 0.724008i
\(619\) 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
\(621\) 16.4716 2.88181i 0.660984 0.115643i
\(622\) 10.1511 + 10.1511i 0.407024 + 0.407024i
\(623\) 18.8452 27.2894i 0.755018 1.09333i
\(624\) −6.22358 + 0.516796i −0.249143 + 0.0206884i
\(625\) −9.00670 + 15.6001i −0.360268 + 0.624003i
\(626\) −3.31837 + 12.3843i −0.132629 + 0.494978i
\(627\) 21.9174 5.18426i 0.875298 0.207040i
\(628\) 16.2223 + 9.36594i 0.647340 + 0.373742i
\(629\) 5.86197 + 5.86197i 0.233732 + 0.233732i
\(630\) −15.4820 + 1.89768i −0.616816 + 0.0756055i
\(631\) −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
\(633\) −8.48626 35.8772i −0.337298 1.42599i
\(634\) −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
\(639\) −30.7865 10.2318i −1.21789 0.404765i
\(640\) −0.982571 1.70186i −0.0388395 0.0672721i
\(641\) 12.7864 + 22.1467i 0.505032 + 0.874741i 0.999983 + 0.00582025i \(0.00185265\pi\)
−0.494951 + 0.868921i \(0.664814\pi\)
\(642\) 0.760874 25.7567i 0.0300293 1.01654i
\(643\) −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
\(645\) −5.77697 + 3.11161i −0.227468 + 0.122520i
\(646\) −4.44826 + 7.70461i −0.175014 + 0.303134i
\(647\) 3.72444 + 6.45091i 0.146423 + 0.253612i 0.929903 0.367805i \(-0.119891\pi\)
−0.783480 + 0.621417i \(0.786557\pi\)
\(648\) 1.28859 + 8.90727i 0.0506206 + 0.349911i
\(649\) −6.90610 3.98724i −0.271088 0.156513i
\(650\) −1.64043 + 3.76176i −0.0643430 + 0.147549i
\(651\) 10.9447 8.76217i 0.428958 0.343417i
\(652\) 3.37488 3.37488i 0.132170 0.132170i
\(653\) −25.0837 14.4821i −0.981603 0.566729i −0.0788492 0.996887i \(-0.525125\pi\)
−0.902754 + 0.430158i \(0.858458\pi\)
\(654\) −4.33479 18.3261i −0.169504 0.716608i
\(655\) −1.14940 0.307982i −0.0449109 0.0120338i
\(656\) −9.87024 + 2.64472i −0.385368 + 0.103259i
\(657\) −7.13843 34.7269i −0.278496 1.35483i
\(658\) 0.697603 1.95610i 0.0271954 0.0762567i
\(659\) 14.9624i 0.582853i 0.956593 + 0.291427i \(0.0941299\pi\)
−0.956593 + 0.291427i \(0.905870\pi\)
\(660\) −6.95709 7.38064i −0.270804 0.287291i
\(661\) −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
\(663\) 5.43177 11.5154i 0.210953 0.447220i
\(664\) −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
\(669\) −34.2083 21.1210i −1.32257 0.816584i
\(670\) −1.28887 + 0.345352i −0.0497934 + 0.0133421i
\(671\) 11.4865 11.4865i 0.443430 0.443430i
\(672\) −2.86398 3.57737i −0.110481 0.138000i
\(673\) 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
\(675\) 5.55496 + 2.03021i 0.213810 + 0.0781429i
\(676\) 3.82733 12.4238i 0.147205 0.477840i
\(677\) 21.1055 + 12.1853i 0.811151 + 0.468318i 0.847356 0.531026i \(-0.178193\pi\)
−0.0362043 + 0.999344i \(0.511527\pi\)
\(678\) 24.6097 13.2553i 0.945130 0.509069i
\(679\) 27.0907 + 2.19288i 1.03965 + 0.0841550i
\(680\) 4.00649 0.153642
\(681\) −7.47256 0.220745i −0.286349 0.00845898i
\(682\) 8.80613 + 2.35960i 0.337204 + 0.0903536i
\(683\) −40.5076 10.8540i −1.54998 0.415316i −0.620506 0.784202i \(-0.713073\pi\)
−0.929475 + 0.368885i \(0.879739\pi\)
\(684\) 12.4229 + 4.12871i 0.475000 + 0.157865i
\(685\) −9.17223 −0.350453
\(686\) 12.8381 13.3485i 0.490160 0.509650i
\(687\) 15.7031 + 29.1541i 0.599109 + 1.11230i
\(688\) −1.66952 0.963895i −0.0636497 0.0367482i
\(689\) 9.80112 12.2948i 0.373393 0.468394i
\(690\) −10.6595 + 2.52135i −0.405799 + 0.0959861i
\(691\) −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
\(693\) −18.6351 14.5656i −0.707889 0.553301i
\(694\) −18.0104 + 18.0104i −0.683666 + 0.683666i
\(695\) −2.28861 + 0.613230i −0.0868118 + 0.0232611i
\(696\) 5.59621 9.06383i 0.212124 0.343564i
\(697\) 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 \(-0.423529\pi\)
0.237937 + 0.971281i \(0.423529\pi\)
\(702\) −18.2068 4.41724i −0.687172 0.166718i
\(703\) −8.87176 15.3663i −0.334605 0.579552i
\(704\) 0.771252 2.87835i 0.0290677 0.108482i
\(705\) 1.94417 1.83260i 0.0732215 0.0690196i
\(706\) 20.3954i 0.767589i
\(707\) −4.22848 + 11.8568i −0.159028 + 0.445920i
\(708\) −2.19803 4.08083i −0.0826070 0.153367i
\(709\) −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
\(711\) 1.73402 29.3239i 0.0650307 1.09973i
\(712\) 10.8555 + 6.26742i 0.406827 + 0.234882i
\(713\) 6.96191 6.96191i 0.260726 0.260726i
\(714\) 9.23584 1.41001i 0.345642 0.0527683i
\(715\) 19.6529 7.71728i 0.734975 0.288610i
\(716\) −9.19954 5.31136i −0.343803 0.198495i
\(717\) 23.5408 38.1277i 0.879148 1.42390i
\(718\) −11.4503 19.8325i −0.427321 0.740142i
\(719\) 3.39194 5.87502i 0.126498 0.219101i −0.795819 0.605534i \(-0.792960\pi\)
0.922318 + 0.386433i \(0.126293\pi\)
\(720\) −1.18704 5.77469i −0.0442383 0.215210i
\(721\) 4.95212 + 27.0558i 0.184426 + 1.00761i
\(722\) 0.0293462 0.0293462i 0.00109215 0.00109215i
\(723\) −50.3420 1.48714i −1.87224 0.0553075i
\(724\) 9.84737 + 17.0562i 0.365975 + 0.633887i
\(725\) −3.50005 6.06227i −0.129989 0.225147i
\(726\) −0.108438 + 3.67080i −0.00402453 + 0.136236i
\(727\) 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
\(732\) 9.18841 2.17339i 0.339613 0.0803308i
\(733\) 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
\(735\) 22.5209 7.77762i 0.830696 0.286882i
\(736\) −2.27555 2.27555i −0.0838780 0.0838780i
\(737\) −1.75227 1.01168i −0.0645458 0.0372656i
\(738\) −30.6018 1.80958i −1.12647 0.0666117i
\(739\) −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
\(741\) −17.6087 + 20.7979i −0.646871 + 0.764030i
\(742\) 11.5002 + 0.930890i 0.422184 + 0.0341740i
\(743\) −1.78670 1.78670i −0.0655478 0.0655478i 0.673573 0.739121i \(-0.264759\pi\)
−0.739121 + 0.673573i \(0.764759\pi\)
\(744\) 3.63475 + 3.85604i 0.133256 + 0.141369i
\(745\) −33.7728 + 19.4987i −1.23734 + 0.714379i
\(746\) −8.16841 + 30.4849i −0.299067 + 1.11613i
\(747\) −19.4620 6.46817i −0.712078 0.236658i
\(748\) 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
\(753\) −11.8173 49.9597i −0.430645 1.82063i
\(754\) 13.1709 + 17.8391i 0.479654 + 0.649663i
\(755\) 14.0523i 0.511417i
\(756\) −4.76868 12.8942i −0.173435 0.468956i
\(757\) 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
\(759\) −14.1330 8.72599i −0.512994 0.316733i
\(760\) −8.28302 2.21943i −0.300457 0.0805071i
\(761\) −7.13113 26.6137i −0.258503 0.964747i −0.966108 0.258138i \(-0.916891\pi\)
0.707605 0.706608i \(-0.249776\pi\)
\(762\) 11.5084 6.19869i 0.416906 0.224555i
\(763\) 12.3262 + 25.9914i 0.446238 + 0.940951i
\(764\) 24.1729 0.874546
\(765\) 11.4060 + 3.79077i 0.412386 + 0.137056i
\(766\) 12.6522 7.30475i 0.457143 0.263931i
\(767\) 9.58795 1.08206i 0.346201 0.0390708i
\(768\) 1.26037 1.18805i 0.0454799 0.0428699i
\(769\) 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 \(-0.833113\pi\)
1.00000 0.000693289i \(-0.000220681\pi\)
\(774\) −3.84093 4.32373i