Properties

Label 546.2.bv.a.515.11
Level $546$
Weight $2$
Character 546.515
Analytic conductor $4.360$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

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 515.11
Character \(\chi\) \(=\) 546.515
Dual form 546.2.bv.a.317.11

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

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

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
\(3\) 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 −0.191954 0.981404i \(-0.561482\pi\)
−0.656939 + 0.753944i \(0.728149\pi\)
\(6\) −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 0.202695 0.979242i \(-0.435030\pi\)
0.665160 + 0.746701i \(0.268363\pi\)
\(12\) 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 −0.715520 0.698592i \(-0.753810\pi\)
0.962758 + 0.270363i \(0.0871437\pi\)
\(18\) 2.24284 + 1.99240i 0.528643 + 0.469613i
\(19\) −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
\(21\) −2.71422 3.69229i −0.592292 0.805723i
\(22\) −2.97989 −0.635314
\(23\) −1.60906 2.78697i −0.335512 0.581124i 0.648071 0.761580i \(-0.275576\pi\)
−0.983583 + 0.180456i \(0.942243\pi\)
\(24\) −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 \(-0.806548\pi\)
0.820935 0.571021i \(-0.193452\pi\)
\(30\) 2.33468 2.47682i 0.426253 0.452203i
\(31\) −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
\(33\) −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 0.566785 0.823866i \(-0.308187\pi\)
0.0789171 + 0.996881i \(0.474854\pi\)
\(38\) 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 −0.138004 + 0.990432i \(0.544069\pi\)
−0.990432 + 0.138004i \(0.955931\pi\)
\(42\) 1.66610 + 4.26897i 0.257085 + 0.658716i
\(43\) 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
\(45\) 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 −0.949525 0.313692i \(-0.898434\pi\)
0.979159 + 0.203097i \(0.0651008\pi\)
\(48\) 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 0.217667 0.976023i \(-0.430155\pi\)
−0.736427 + 0.676517i \(0.763488\pi\)
\(54\) 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 −0.423125 0.906071i \(-0.639067\pi\)
0.0865982 + 0.996243i \(0.472400\pi\)
\(60\) −2.89618 + 1.78816i −0.373895 + 0.230851i
\(61\) 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
\(63\) −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 −0.298660 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 −0.0885725 0.996070i \(-0.528231\pi\)
0.996070 + 0.0885725i \(0.0282305\pi\)
\(72\) 0.946159 + 2.84689i 0.111506 + 0.335509i
\(73\) −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
\(75\) −1.35225 + 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 −0.998215 0.0597205i \(-0.980979\pi\)
0.447388 0.894340i \(-0.352354\pi\)
\(80\) −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 −0.390154 0.920749i \(-0.627578\pi\)
0.920749 + 0.390154i \(0.127578\pi\)
\(84\) −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 0.550013 + 0.835156i \(0.314623\pi\)
−0.893903 + 0.448260i \(0.852044\pi\)
\(90\) −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 0.972102 0.234557i \(-0.0753639\pi\)
−0.234557 + 0.972102i \(0.575364\pi\)
\(98\) −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 −0.723055 0.690790i \(-0.757263\pi\)
0.959769 + 0.280789i \(0.0905962\pi\)
\(102\) 1.85516 + 3.00470i 0.183689 + 0.297509i
\(103\) 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
\(105\) 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 0.275324 0.961352i \(-0.411215\pi\)
0.970217 + 0.242238i \(0.0778816\pi\)
\(108\) −4.88042 + 1.78368i −0.469618 + 0.171635i
\(109\) 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
\(111\) 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 \(-0.725647\pi\)
0.650991 0.759085i \(-0.274353\pi\)
\(114\) −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 \(-0.891318\pi\)
0.942275 0.334840i \(-0.108682\pi\)
\(128\) 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 −0.476916 0.878949i \(-0.658246\pi\)
0.522734 + 0.852496i \(0.324912\pi\)
\(132\) 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 −0.0610320 0.998136i \(-0.519439\pi\)
0.446213 + 0.894927i \(0.352772\pi\)
\(138\) 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 0.935918 0.352218i \(-0.114572\pi\)
0.634420 + 0.772988i \(0.281239\pi\)
\(150\) 1.67747 1.03571i 0.136965 0.0845650i
\(151\) −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
\(156\) −5.64817 + 2.66423i −0.452216 + 0.213309i
\(157\) 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
\(159\) −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 0.434806 0.900524i \(-0.356817\pi\)
−0.0737095 + 0.997280i \(0.523484\pi\)
\(164\) −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 0.979586 + 0.201026i \(0.0644277\pi\)
0.201026 + 0.979586i \(0.435572\pi\)
\(168\) −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 0.966110 0.258130i \(-0.0831064\pi\)
−0.706602 + 0.707611i \(0.749773\pi\)
\(174\) 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 −0.993353 0.115108i \(-0.963278\pi\)
0.596363 + 0.802715i \(0.296612\pi\)
\(180\) 1.85934 + 5.59455i 0.138587 + 0.416993i
\(181\) 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
\(186\) 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 0.514908 0.857245i \(-0.327826\pi\)
0.999850 0.0173008i \(-0.00550729\pi\)
\(192\) 1.68554 + 0.398691i 0.121643 + 0.0287731i
\(193\) 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
\(195\) 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 −0.0516350 + 0.998666i \(0.516443\pi\)
−0.998666 + 0.0516350i \(0.983557\pi\)
\(198\) 7.99233 + 4.00503i 0.567990 + 0.284625i
\(199\) 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
\(201\) 0.0347268 + 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 −0.994517 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 0.918893 0.394507i \(-0.129084\pi\)
−0.993038 + 0.117794i \(0.962418\pi\)
\(228\) 3.97066 + 6.43104i 0.262964 + 0.425906i
\(229\) 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
\(231\) −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 −0.999858 0.0168603i \(-0.994633\pi\)
0.485327 0.874332i \(-0.338700\pi\)
\(234\) −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 −0.204417 + 0.978884i \(0.565530\pi\)
−0.978884 + 0.204417i \(0.934470\pi\)
\(240\) −3.40224 + 0.100505i −0.219614 + 0.00648757i
\(241\) −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
\(243\) 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 −0.800635 0.599153i \(-0.795504\pi\)
−0.118564 0.992946i \(-0.537829\pi\)
\(258\) −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 −0.0334138 0.999442i \(-0.510638\pi\)
−0.882249 + 0.470784i \(0.843971\pi\)
\(264\) −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 0.159515 0.987195i \(-0.449007\pi\)
−0.775179 + 0.631742i \(0.782340\pi\)
\(270\) −9.59072 + 3.50519i −0.583673 + 0.213319i
\(271\) −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
\(273\) 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 0.999913 0.0131886i \(-0.00419819\pi\)
0.488535 + 0.872544i \(0.337532\pi\)
\(278\) −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 0.693595 0.720365i \(-0.256026\pi\)
−0.720365 + 0.693595i \(0.756026\pi\)
\(282\) 0.989325 + 0.932551i 0.0589135 + 0.0555326i
\(283\) 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
\(285\) −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 0.626431 0.779477i \(-0.284515\pi\)
−0.779477 + 0.626431i \(0.784515\pi\)
\(294\) 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 −0.942100 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 −0.994555 0.104216i \(-0.966767\pi\)
0.587531 + 0.809202i \(0.300100\pi\)
\(312\) 6.14527 1.11159i 0.347907 0.0629316i
\(313\) 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
\(315\) 15.4456 2.17401i 0.870260 0.122491i
\(316\) 9.79172i 0.550827i
\(317\) 31.6985 + 8.49358i 1.78036 + 0.477047i 0.990650 0.136428i \(-0.0435622\pi\)
0.789714 + 0.613475i \(0.210229\pi\)
\(318\) 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 −0.903177 0.429267i \(-0.858772\pi\)
0.996808 + 0.0798323i \(0.0254385\pi\)
\(332\) 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 \(0.0954793\pi\)
−0.955349 + 0.295479i \(0.904521\pi\)
\(338\) −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 0.956970 0.290187i \(-0.0937177\pi\)
0.227175 + 0.973854i \(0.427051\pi\)
\(348\) −7.75141 7.30659i −0.415519 0.391674i
\(349\) 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
\(351\) 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 0.951743 + 0.306896i \(0.0992902\pi\)
−0.670786 + 0.741651i \(0.734043\pi\)
\(354\) 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 −0.613181 0.789943i \(-0.710110\pi\)
0.926001 0.377520i \(-0.123223\pi\)
\(360\) −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 −0.958011 0.286731i \(-0.907432\pi\)
0.727322 + 0.686297i \(0.240765\pi\)
\(368\) 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 0.907836 + 0.419326i \(0.137734\pi\)
−0.0907705 + 0.995872i \(0.528933\pi\)
\(374\) −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 0.651782 0.758407i \(-0.274022\pi\)
−0.758407 + 0.651782i \(0.774022\pi\)
\(380\) 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 −0.120423 0.992723i \(-0.538425\pi\)
−0.600651 + 0.799511i \(0.705092\pi\)
\(384\) −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 0.331070 + 0.943606i \(0.392590\pi\)
−0.982722 + 0.185088i \(0.940743\pi\)
\(390\) −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 −0.478047 0.878334i \(-0.658655\pi\)
−0.853168 + 0.521637i \(0.825322\pi\)
\(398\) −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 0.758942 + 0.651159i \(0.225717\pi\)
−0.982842 + 0.184449i \(0.940950\pi\)
\(402\) 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 −0.0392560 0.999229i \(-0.512499\pi\)
0.465618 + 0.884986i \(0.345832\pi\)
\(410\) −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 \(0.0202776\pi\)
−0.997972 + 0.0636609i \(0.979722\pi\)
\(420\) −1.35909 + 8.90227i −0.0663166 + 0.434386i
\(421\) 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
\(423\) −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 −0.972087 0.234619i \(-0.924616\pi\)
0.724543 0.689229i \(-0.242051\pi\)
\(432\) −5.11841 0.895495i −0.246259 0.0430845i
\(433\) 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
\(435\) 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 −0.863948 0.503581i \(-0.832015\pi\)
0.00414009 + 0.999991i \(0.498682\pi\)
\(440\) 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 −0.442911 0.896566i \(-0.646054\pi\)
0.554993 + 0.831855i \(0.312721\pi\)
\(444\) 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 −0.998215 0.0597270i \(-0.980977\pi\)
−0.0597270 0.998215i \(-0.519023\pi\)
\(450\) −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 0.754254 + 0.656583i \(0.227999\pi\)
−0.981494 + 0.191491i \(0.938668\pi\)
\(458\) −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 0.188852 0.982006i \(-0.439523\pi\)
0.982006 0.188852i \(-0.0604765\pi\)
\(462\) 8.08808 + 11.0026i 0.376292 + 0.511888i
\(463\) 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
\(465\) 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 0.975617 0.219480i \(-0.0704362\pi\)
−0.677884 + 0.735169i \(0.737103\pi\)
\(468\) 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 0.250291 0.968171i \(-0.419474\pi\)
0.700844 + 0.713315i \(0.252807\pi\)
\(480\) 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 −0.408825 0.912613i \(-0.634061\pi\)
0.102254 + 0.994758i \(0.467395\pi\)
\(488\) 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 −0.999696 0.0246524i \(-0.992152\pi\)
0.878088 + 0.478498i \(0.158819\pi\)
\(500\) 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 \(0.0431876\pi\)
−0.990810 + 0.135262i \(0.956812\pi\)
\(504\) 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 −0.328666 0.944446i \(-0.606599\pi\)
−0.756856 + 0.653582i \(0.773266\pi\)
\(510\) −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 0.954959 0.296737i \(-0.0958986\pi\)
0.220497 + 0.975388i \(0.429232\pi\)
\(522\) 12.2534 13.7937i 0.536318 0.603733i
\(523\) 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
\(525\) 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 0.477793 0.878473i \(-0.341437\pi\)
−0.0254556 + 0.999676i \(0.508104\pi\)
\(542\) 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 0.236834 0.971550i \(-0.423890\pi\)
0.690879 + 0.722970i \(0.257224\pi\)
\(558\) −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 −0.465028 0.885296i \(-0.653956\pi\)
0.999203 0.0399219i \(-0.0127109\pi\)
\(564\) −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 0.999719 0.0237110i \(-0.00754816\pi\)
−0.520394 + 0.853926i \(0.674215\pi\)
\(570\) 7.80292 + 12.6379i 0.326828 + 0.529344i
\(571\) 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
\(576\) 1.34402 2.68209i 0.0560008 0.111754i
\(577\) 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
\(579\) 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 −0.540318 0.841461i \(-0.681696\pi\)
0.841461 + 0.540318i \(0.181696\pi\)
\(588\) −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 −0.697111 0.716963i \(-0.745532\pi\)
0.962197 0.272353i \(-0.0878018\pi\)
\(594\) 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 −0.0598673 0.998206i \(-0.519068\pi\)
−0.894406 + 0.447257i \(0.852401\pi\)
\(600\) 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 0.963866 0.266389i \(-0.0858305\pi\)
−0.712632 + 0.701538i \(0.752497\pi\)
\(608\) 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 −0.132174 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 −0.857168 0.515038i \(-0.827778\pi\)
0.515038 + 0.857168i \(0.327778\pi\)
\(618\) 0.531692 + 17.9986i 0.0213878 + 0.724008i
\(619\) 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
\(621\) 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 −0.749467 0.662042i \(-0.769690\pi\)
0.662042 + 0.749467i \(0.269690\pi\)
\(632\) −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 −0.494951 0.868921i \(-0.664814\pi\)
0.999983 0.00582025i \(-0.00185265\pi\)
\(642\) 0.760874 + 25.7567i 0.0300293 + 1.01654i
\(643\) −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
\(645\) −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 −0.783480 0.621417i \(-0.786557\pi\)
0.929903 + 0.367805i \(0.119891\pi\)
\(648\) 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 −0.902754 0.430158i \(-0.858458\pi\)
−0.0788492 + 0.996887i \(0.525125\pi\)
\(654\) −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 \(-0.905870\pi\)
0.956593 0.291427i \(-0.0941299\pi\)
\(660\) −6.95709 + 7.38064i −0.270804 + 0.287291i
\(661\) −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
\(663\) 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 \(-0.993969\pi\)
0.999820 0.0189466i \(-0.00603124\pi\)
\(674\) 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 −0.0362043 0.999344i \(-0.511527\pi\)
0.847356 + 0.531026i \(0.178193\pi\)
\(678\) 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 −0.929475 0.368885i \(-0.879739\pi\)
−0.620506 + 0.784202i \(0.713073\pi\)
\(684\) 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 0.810348 + 0.585948i \(0.199278\pi\)
−0.994756 + 0.102272i \(0.967389\pi\)
\(692\) 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 −0.261661 0.965160i \(-0.584270\pi\)
−0.709185 + 0.705022i \(0.750937\pi\)
\(710\) 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 0.922318 0.386433i \(-0.126293\pi\)
−0.795819 + 0.605534i \(0.792960\pi\)
\(720\) −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 \(-0.822164\pi\)
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
\(732\) 9.18841 + 2.17339i 0.339613 + 0.0803308i
\(733\) 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
\(735\) 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 0.926829 0.375483i \(-0.122523\pi\)
−0.990399 + 0.138237i \(0.955856\pi\)
\(740\) −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 −0.739121 0.673573i \(-0.764759\pi\)
0.673573 + 0.739121i \(0.264759\pi\)
\(744\) 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 −0.669890 0.742460i \(-0.733659\pi\)
0.308044 + 0.951372i \(0.400326\pi\)
\(752\) 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 0.707605 + 0.706608i \(0.249776\pi\)
−0.966108 + 0.258138i \(0.916891\pi\)
\(762\) 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 0.975025 + 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 \(0.000220681\pi\)
−0.865679 + 0.500600i \(0.833113\pi\)
\(774\) −3.84093 + 4.32373i −0.138059