Properties

Label 546.2.bv.a.317.36
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 317.36
Character \(\chi\) \(=\) 546.317
Dual form 546.2.bv.a.515.36

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 - 0.258819i) q^{2} +(1.70468 - 0.306679i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-1.82490 + 0.488980i) q^{5} +(1.56722 - 0.737434i) q^{6} +(2.57215 + 0.619719i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.81190 - 1.04558i) q^{9} +O(q^{10})\) \(q+(0.965926 - 0.258819i) q^{2} +(1.70468 - 0.306679i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-1.82490 + 0.488980i) q^{5} +(1.56722 - 0.737434i) q^{6} +(2.57215 + 0.619719i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.81190 - 1.04558i) q^{9} +(-1.63616 + 0.944637i) q^{10} +(-1.71267 - 0.458908i) q^{11} +(1.32296 - 1.11793i) q^{12} +(1.62200 - 3.22011i) q^{13} +(2.64490 - 0.0671181i) q^{14} +(-2.96091 + 1.39321i) q^{15} +(0.500000 - 0.866025i) q^{16} +(2.01432 + 3.48891i) q^{17} +(2.44547 - 1.73773i) q^{18} +(-0.854328 - 3.18839i) q^{19} +(-1.33592 + 1.33592i) q^{20} +(4.57476 + 0.267603i) q^{21} -1.77308 q^{22} +(-3.75204 + 6.49873i) q^{23} +(0.988539 - 1.42225i) q^{24} +(-1.23898 + 0.715324i) q^{25} +(0.733303 - 3.53019i) q^{26} +(4.47274 - 2.64473i) q^{27} +(2.53741 - 0.749382i) q^{28} -2.36532i q^{29} +(-2.49943 + 2.11208i) q^{30} +(7.49138 + 2.00731i) q^{31} +(0.258819 - 0.965926i) q^{32} +(-3.06029 - 0.257054i) q^{33} +(2.84869 + 2.84869i) q^{34} +(-4.99694 + 0.126804i) q^{35} +(1.91238 - 2.31145i) q^{36} +(-7.18011 + 1.92390i) q^{37} +(-1.65043 - 2.85864i) q^{38} +(1.77745 - 5.98671i) q^{39} +(-0.944637 + 1.63616i) q^{40} +(-1.16845 - 1.16845i) q^{41} +(4.48814 - 0.925549i) q^{42} -1.15824i q^{43} +(-1.71267 + 0.458908i) q^{44} +(-4.62016 + 3.28304i) q^{45} +(-1.94220 + 7.24839i) q^{46} +(-2.55755 - 9.54491i) q^{47} +(0.586751 - 1.62964i) q^{48} +(6.23190 + 3.18802i) q^{49} +(-1.01162 + 1.01162i) q^{50} +(4.50376 + 5.32974i) q^{51} +(-0.205365 - 3.59970i) q^{52} +(-8.17176 + 4.71797i) q^{53} +(3.63583 - 3.71225i) q^{54} +3.34984 q^{55} +(2.25699 - 1.38058i) q^{56} +(-2.43417 - 5.17320i) q^{57} +(-0.612191 - 2.28473i) q^{58} +(-12.1981 - 3.26848i) q^{59} +(-1.86762 + 2.68702i) q^{60} +(-5.96460 + 10.3310i) q^{61} +7.75565 q^{62} +(7.88058 - 0.946802i) q^{63} -1.00000i q^{64} +(-1.38541 + 6.66950i) q^{65} +(-3.02255 + 0.543767i) q^{66} +(-10.6271 - 2.84753i) q^{67} +(3.48891 + 2.01432i) q^{68} +(-4.40303 + 12.2290i) q^{69} +(-4.79385 + 1.41579i) q^{70} +(1.54553 + 1.54553i) q^{71} +(1.24897 - 2.72765i) q^{72} +(0.439791 - 1.64132i) q^{73} +(-6.43751 + 3.71670i) q^{74} +(-1.89269 + 1.59937i) q^{75} +(-2.33407 - 2.33407i) q^{76} +(-4.12084 - 2.24175i) q^{77} +(0.167415 - 6.24275i) q^{78} +(-3.34611 + 5.79563i) q^{79} +(-0.488980 + 1.82490i) q^{80} +(6.81352 - 5.88013i) q^{81} +(-1.43105 - 0.826218i) q^{82} +(4.17139 + 4.17139i) q^{83} +(4.09566 - 2.05563i) q^{84} +(-5.38194 - 5.38194i) q^{85} +(-0.299774 - 1.11877i) q^{86} +(-0.725394 - 4.03213i) q^{87} +(-1.53553 + 0.886542i) q^{88} +(0.853770 + 3.18631i) q^{89} +(-3.61301 + 4.36696i) q^{90} +(6.16759 - 7.27742i) q^{91} +7.50409i q^{92} +(13.3860 + 1.12438i) q^{93} +(-4.94081 - 8.55773i) q^{94} +(3.11812 + 5.40074i) q^{95} +(0.144976 - 1.72597i) q^{96} +(5.14678 - 5.14678i) q^{97} +(6.84467 + 1.46646i) q^{98} +(-5.29567 + 0.500330i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 16 q^{7} + O(q^{10}) \) \( 144 q - 16 q^{7} + 72 q^{16} + 16 q^{18} + 8 q^{19} + 8 q^{21} + 24 q^{27} - 8 q^{28} - 8 q^{31} + 12 q^{33} - 8 q^{37} + 16 q^{39} - 40 q^{45} + 8 q^{46} + 8 q^{52} - 12 q^{54} - 32 q^{55} + 16 q^{57} + 8 q^{58} - 32 q^{61} - 40 q^{63} - 32 q^{66} - 8 q^{67} + 16 q^{72} + 80 q^{73} - 16 q^{76} + 16 q^{78} - 112 q^{79} - 48 q^{81} + 16 q^{84} - 80 q^{85} + 96 q^{87} - 32 q^{91} + 36 q^{93} - 64 q^{94} - 144 q^{97} - 32 q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 0.258819i 0.683013 0.183013i
\(3\) 1.70468 0.306679i 0.984200 0.177061i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) −1.82490 + 0.488980i −0.816119 + 0.218678i −0.642649 0.766161i \(-0.722165\pi\)
−0.173470 + 0.984839i \(0.555498\pi\)
\(6\) 1.56722 0.737434i 0.639817 0.301056i
\(7\) 2.57215 + 0.619719i 0.972181 + 0.234232i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) 2.81190 1.04558i 0.937299 0.348527i
\(10\) −1.63616 + 0.944637i −0.517399 + 0.298720i
\(11\) −1.71267 0.458908i −0.516388 0.138366i −0.00879290 0.999961i \(-0.502799\pi\)
−0.507596 + 0.861595i \(0.669466\pi\)
\(12\) 1.32296 1.11793i 0.381906 0.322720i
\(13\) 1.62200 3.22011i 0.449861 0.893098i
\(14\) 2.64490 0.0671181i 0.706879 0.0179381i
\(15\) −2.96091 + 1.39321i −0.764505 + 0.359726i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 2.01432 + 3.48891i 0.488545 + 0.846186i 0.999913 0.0131764i \(-0.00419430\pi\)
−0.511368 + 0.859362i \(0.670861\pi\)
\(18\) 2.44547 1.73773i 0.576402 0.409586i
\(19\) −0.854328 3.18839i −0.195996 0.731468i −0.992007 0.126185i \(-0.959727\pi\)
0.796011 0.605283i \(-0.206940\pi\)
\(20\) −1.33592 + 1.33592i −0.298720 + 0.298720i
\(21\) 4.57476 + 0.267603i 0.998294 + 0.0583957i
\(22\) −1.77308 −0.378023
\(23\) −3.75204 + 6.49873i −0.782355 + 1.35508i 0.148211 + 0.988956i \(0.452648\pi\)
−0.930566 + 0.366123i \(0.880685\pi\)
\(24\) 0.988539 1.42225i 0.201785 0.290315i
\(25\) −1.23898 + 0.715324i −0.247795 + 0.143065i
\(26\) 0.733303 3.53019i 0.143813 0.692328i
\(27\) 4.47274 2.64473i 0.860779 0.508979i
\(28\) 2.53741 0.749382i 0.479525 0.141620i
\(29\) 2.36532i 0.439230i −0.975587 0.219615i \(-0.929520\pi\)
0.975587 0.219615i \(-0.0704800\pi\)
\(30\) −2.49943 + 2.11208i −0.456332 + 0.385612i
\(31\) 7.49138 + 2.00731i 1.34549 + 0.360523i 0.858469 0.512866i \(-0.171416\pi\)
0.487023 + 0.873389i \(0.338083\pi\)
\(32\) 0.258819 0.965926i 0.0457532 0.170753i
\(33\) −3.06029 0.257054i −0.532729 0.0447474i
\(34\) 2.84869 + 2.84869i 0.488545 + 0.488545i
\(35\) −4.99694 + 0.126804i −0.844637 + 0.0214338i
\(36\) 1.91238 2.31145i 0.318731 0.385241i
\(37\) −7.18011 + 1.92390i −1.18040 + 0.316288i −0.795086 0.606497i \(-0.792574\pi\)
−0.385316 + 0.922785i \(0.625908\pi\)
\(38\) −1.65043 2.85864i −0.267736 0.463732i
\(39\) 1.77745 5.98671i 0.284620 0.958640i
\(40\) −0.944637 + 1.63616i −0.149360 + 0.258699i
\(41\) −1.16845 1.16845i −0.182481 0.182481i 0.609955 0.792436i \(-0.291188\pi\)
−0.792436 + 0.609955i \(0.791188\pi\)
\(42\) 4.48814 0.925549i 0.692534 0.142815i
\(43\) 1.15824i 0.176630i −0.996093 0.0883149i \(-0.971852\pi\)
0.996093 0.0883149i \(-0.0281482\pi\)
\(44\) −1.71267 + 0.458908i −0.258194 + 0.0691829i
\(45\) −4.62016 + 3.28304i −0.688732 + 0.489406i
\(46\) −1.94220 + 7.24839i −0.286362 + 1.06872i
\(47\) −2.55755 9.54491i −0.373057 1.39227i −0.856163 0.516706i \(-0.827158\pi\)
0.483106 0.875562i \(-0.339509\pi\)
\(48\) 0.586751 1.62964i 0.0846902 0.235218i
\(49\) 6.23190 + 3.18802i 0.890271 + 0.455432i
\(50\) −1.01162 + 1.01162i −0.143065 + 0.143065i
\(51\) 4.50376 + 5.32974i 0.630653 + 0.746313i
\(52\) −0.205365 3.59970i −0.0284790 0.499188i
\(53\) −8.17176 + 4.71797i −1.12248 + 0.648063i −0.942032 0.335522i \(-0.891087\pi\)
−0.180445 + 0.983585i \(0.557754\pi\)
\(54\) 3.63583 3.71225i 0.494773 0.505173i
\(55\) 3.34984 0.451692
\(56\) 2.25699 1.38058i 0.301603 0.184487i
\(57\) −2.43417 5.17320i −0.322414 0.685207i
\(58\) −0.612191 2.28473i −0.0803846 0.299999i
\(59\) −12.1981 3.26848i −1.58806 0.425520i −0.646652 0.762785i \(-0.723831\pi\)
−0.941410 + 0.337265i \(0.890498\pi\)
\(60\) −1.86762 + 2.68702i −0.241109 + 0.346892i
\(61\) −5.96460 + 10.3310i −0.763689 + 1.32275i 0.177249 + 0.984166i \(0.443280\pi\)
−0.940937 + 0.338581i \(0.890053\pi\)
\(62\) 7.75565 0.984968
\(63\) 7.88058 0.946802i 0.992860 0.119286i
\(64\) 1.00000i 0.125000i
\(65\) −1.38541 + 6.66950i −0.171839 + 0.827250i
\(66\) −3.02255 + 0.543767i −0.372050 + 0.0669331i
\(67\) −10.6271 2.84753i −1.29831 0.347881i −0.457498 0.889211i \(-0.651254\pi\)
−0.840810 + 0.541330i \(0.817921\pi\)
\(68\) 3.48891 + 2.01432i 0.423093 + 0.244273i
\(69\) −4.40303 + 12.2290i −0.530062 + 1.47219i
\(70\) −4.79385 + 1.41579i −0.572975 + 0.169219i
\(71\) 1.54553 + 1.54553i 0.183421 + 0.183421i 0.792845 0.609424i \(-0.208599\pi\)
−0.609424 + 0.792845i \(0.708599\pi\)
\(72\) 1.24897 2.72765i 0.147193 0.321456i
\(73\) 0.439791 1.64132i 0.0514736 0.192102i −0.935402 0.353587i \(-0.884962\pi\)
0.986875 + 0.161485i \(0.0516284\pi\)
\(74\) −6.43751 + 3.71670i −0.748345 + 0.432057i
\(75\) −1.89269 + 1.59937i −0.218549 + 0.184679i
\(76\) −2.33407 2.33407i −0.267736 0.267736i
\(77\) −4.12084 2.24175i −0.469613 0.255471i
\(78\) 0.167415 6.24275i 0.0189560 0.706853i
\(79\) −3.34611 + 5.79563i −0.376467 + 0.652059i −0.990545 0.137185i \(-0.956194\pi\)
0.614079 + 0.789245i \(0.289528\pi\)
\(80\) −0.488980 + 1.82490i −0.0546696 + 0.204030i
\(81\) 6.81352 5.88013i 0.757058 0.653348i
\(82\) −1.43105 0.826218i −0.158033 0.0912405i
\(83\) 4.17139 + 4.17139i 0.457869 + 0.457869i 0.897956 0.440086i \(-0.145052\pi\)
−0.440086 + 0.897956i \(0.645052\pi\)
\(84\) 4.09566 2.05563i 0.446873 0.224287i
\(85\) −5.38194 5.38194i −0.583754 0.583754i
\(86\) −0.299774 1.11877i −0.0323255 0.120640i
\(87\) −0.725394 4.03213i −0.0777704 0.432290i
\(88\) −1.53553 + 0.886542i −0.163689 + 0.0945056i
\(89\) 0.853770 + 3.18631i 0.0904994 + 0.337748i 0.996299 0.0859586i \(-0.0273953\pi\)
−0.905799 + 0.423707i \(0.860729\pi\)
\(90\) −3.61301 + 4.36696i −0.380845 + 0.460318i
\(91\) 6.16759 7.27742i 0.646539 0.762881i
\(92\) 7.50409i 0.782355i
\(93\) 13.3860 + 1.12438i 1.38807 + 0.116593i
\(94\) −4.94081 8.55773i −0.509605 0.882662i
\(95\) 3.11812 + 5.40074i 0.319912 + 0.554105i
\(96\) 0.144976 1.72597i 0.0147965 0.176156i
\(97\) 5.14678 5.14678i 0.522576 0.522576i −0.395772 0.918349i \(-0.629523\pi\)
0.918349 + 0.395772i \(0.129523\pi\)
\(98\) 6.84467 + 1.46646i 0.691416 + 0.148135i
\(99\) −5.29567 + 0.500330i −0.532234 + 0.0502851i
\(100\) −0.715324 + 1.23898i −0.0715324 + 0.123898i
\(101\) 1.23524 + 2.13950i 0.122911 + 0.212888i 0.920914 0.389765i \(-0.127444\pi\)
−0.798003 + 0.602653i \(0.794110\pi\)
\(102\) 5.72974 + 3.98248i 0.567329 + 0.394324i
\(103\) 2.64117 + 1.52488i 0.260242 + 0.150251i 0.624445 0.781069i \(-0.285325\pi\)
−0.364203 + 0.931320i \(0.618659\pi\)
\(104\) −1.13004 3.42389i −0.110809 0.335740i
\(105\) −8.47931 + 1.74862i −0.827496 + 0.170647i
\(106\) −6.67222 + 6.67222i −0.648063 + 0.648063i
\(107\) 13.5598 + 7.82877i 1.31088 + 0.756836i 0.982242 0.187621i \(-0.0600776\pi\)
0.328636 + 0.944457i \(0.393411\pi\)
\(108\) 2.55114 4.52678i 0.245483 0.435589i
\(109\) 4.88654 + 1.30934i 0.468045 + 0.125412i 0.485131 0.874442i \(-0.338772\pi\)
−0.0170853 + 0.999854i \(0.505439\pi\)
\(110\) 3.23570 0.867002i 0.308511 0.0826654i
\(111\) −11.6498 + 5.48163i −1.10575 + 0.520294i
\(112\) 1.82277 1.91769i 0.172235 0.181204i
\(113\) 10.8278i 1.01859i −0.860592 0.509296i \(-0.829906\pi\)
0.860592 0.509296i \(-0.170094\pi\)
\(114\) −3.69015 4.36692i −0.345614 0.408999i
\(115\) 3.66935 13.6942i 0.342168 1.27699i
\(116\) −1.18266 2.04843i −0.109807 0.190192i
\(117\) 1.19400 10.7506i 0.110386 0.993889i
\(118\) −12.6284 −1.16254
\(119\) 3.01900 + 10.2223i 0.276751 + 0.937078i
\(120\) −1.10853 + 3.07883i −0.101195 + 0.281058i
\(121\) −6.80365 3.92809i −0.618513 0.357099i
\(122\) −3.08750 + 11.5227i −0.279529 + 1.04322i
\(123\) −2.35018 1.63350i −0.211908 0.147288i
\(124\) 7.49138 2.00731i 0.672746 0.180262i
\(125\) 8.59082 8.59082i 0.768386 0.768386i
\(126\) 7.36701 2.95418i 0.656305 0.263180i
\(127\) 19.2052i 1.70419i 0.523390 + 0.852093i \(0.324667\pi\)
−0.523390 + 0.852093i \(0.675333\pi\)
\(128\) −0.258819 0.965926i −0.0228766 0.0853766i
\(129\) −0.355207 1.97443i −0.0312743 0.173839i
\(130\) 0.387990 + 6.80081i 0.0340290 + 0.596471i
\(131\) −3.71710 2.14607i −0.324764 0.187503i 0.328750 0.944417i \(-0.393373\pi\)
−0.653514 + 0.756914i \(0.726706\pi\)
\(132\) −2.77882 + 1.30753i −0.241865 + 0.113806i
\(133\) −0.221548 8.73047i −0.0192106 0.757027i
\(134\) −11.0020 −0.950428
\(135\) −6.86907 + 7.01345i −0.591195 + 0.603621i
\(136\) 3.89138 + 1.04269i 0.333683 + 0.0894100i
\(137\) 6.46244 + 1.73161i 0.552124 + 0.147941i 0.524085 0.851666i \(-0.324407\pi\)
0.0280384 + 0.999607i \(0.491074\pi\)
\(138\) −1.08791 + 12.9518i −0.0926092 + 1.10253i
\(139\) 12.9517 1.09855 0.549275 0.835642i \(-0.314904\pi\)
0.549275 + 0.835642i \(0.314904\pi\)
\(140\) −4.26407 + 2.60828i −0.360380 + 0.220440i
\(141\) −7.28703 15.4867i −0.613679 1.30422i
\(142\) 1.89288 + 1.09285i 0.158847 + 0.0917103i
\(143\) −4.25568 + 4.77063i −0.355877 + 0.398940i
\(144\) 0.500449 2.95796i 0.0417041 0.246497i
\(145\) 1.15660 + 4.31647i 0.0960500 + 0.358464i
\(146\) 1.69922i 0.140629i
\(147\) 11.6011 + 3.52338i 0.956844 + 0.290603i
\(148\) −5.25620 + 5.25620i −0.432057 + 0.432057i
\(149\) 1.67431 0.448629i 0.137165 0.0367531i −0.189584 0.981865i \(-0.560714\pi\)
0.326748 + 0.945111i \(0.394047\pi\)
\(150\) −1.41425 + 2.03474i −0.115473 + 0.166135i
\(151\) −1.36199 + 5.08300i −0.110837 + 0.413648i −0.998942 0.0459921i \(-0.985355\pi\)
0.888105 + 0.459641i \(0.152022\pi\)
\(152\) −2.85864 1.65043i −0.231866 0.133868i
\(153\) 9.31201 + 7.70432i 0.752831 + 0.622858i
\(154\) −4.56063 1.09881i −0.367506 0.0885449i
\(155\) −14.6525 −1.17692
\(156\) −1.45403 6.07337i −0.116416 0.486259i
\(157\) −9.16996 15.8828i −0.731843 1.26759i −0.956095 0.293057i \(-0.905327\pi\)
0.224252 0.974531i \(-0.428006\pi\)
\(158\) −1.73207 + 6.46419i −0.137796 + 0.514263i
\(159\) −12.4834 + 10.5488i −0.989996 + 0.836570i
\(160\) 1.88927i 0.149360i
\(161\) −13.6782 + 14.3905i −1.07799 + 1.13413i
\(162\) 5.05947 7.44324i 0.397509 0.584796i
\(163\) −16.4100 + 4.39704i −1.28533 + 0.344403i −0.835884 0.548906i \(-0.815045\pi\)
−0.449444 + 0.893308i \(0.648378\pi\)
\(164\) −1.59613 0.427682i −0.124637 0.0333964i
\(165\) 5.71042 1.02732i 0.444555 0.0799770i
\(166\) 5.10889 + 2.94962i 0.396527 + 0.228935i
\(167\) −7.54305 + 7.54305i −0.583698 + 0.583698i −0.935918 0.352219i \(-0.885427\pi\)
0.352219 + 0.935918i \(0.385427\pi\)
\(168\) 3.42406 3.04562i 0.264172 0.234974i
\(169\) −7.73825 10.4460i −0.595250 0.803541i
\(170\) −6.59151 3.80561i −0.505546 0.291877i
\(171\) −5.73600 8.07216i −0.438643 0.617294i
\(172\) −0.579120 1.00306i −0.0441575 0.0764830i
\(173\) 7.40149 12.8198i 0.562725 0.974668i −0.434533 0.900656i \(-0.643086\pi\)
0.997257 0.0740116i \(-0.0235802\pi\)
\(174\) −1.74427 3.70699i −0.132233 0.281026i
\(175\) −3.63013 + 1.07210i −0.274412 + 0.0810432i
\(176\) −1.25376 + 1.25376i −0.0945056 + 0.0945056i
\(177\) −21.7963 1.83082i −1.63831 0.137613i
\(178\) 1.64936 + 2.85677i 0.123624 + 0.214124i
\(179\) −9.29037 16.0914i −0.694395 1.20273i −0.970384 0.241567i \(-0.922339\pi\)
0.275989 0.961161i \(-0.410995\pi\)
\(180\) −2.35965 + 5.15327i −0.175878 + 0.384102i
\(181\) 19.2547i 1.43119i 0.698515 + 0.715595i \(0.253844\pi\)
−0.698515 + 0.715595i \(0.746156\pi\)
\(182\) 4.07389 8.62574i 0.301977 0.639382i
\(183\) −6.99946 + 19.4403i −0.517415 + 1.43707i
\(184\) 1.94220 + 7.24839i 0.143181 + 0.534358i
\(185\) 12.1622 7.02186i 0.894183 0.516257i
\(186\) 13.2209 2.37849i 0.969405 0.174399i
\(187\) −1.84878 6.89973i −0.135196 0.504558i
\(188\) −6.98736 6.98736i −0.509605 0.509605i
\(189\) 13.1435 4.03080i 0.956052 0.293198i
\(190\) 4.40969 + 4.40969i 0.319912 + 0.319912i
\(191\) 13.2016 + 7.62196i 0.955236 + 0.551506i 0.894704 0.446660i \(-0.147387\pi\)
0.0605325 + 0.998166i \(0.480720\pi\)
\(192\) −0.306679 1.70468i −0.0221326 0.123025i
\(193\) 5.43309 20.2766i 0.391083 1.45954i −0.437269 0.899331i \(-0.644054\pi\)
0.828351 0.560209i \(-0.189279\pi\)
\(194\) 3.63932 6.30349i 0.261288 0.452565i
\(195\) −0.316293 + 11.7943i −0.0226502 + 0.844605i
\(196\) 6.99099 0.355041i 0.499356 0.0253601i
\(197\) 7.65448 + 7.65448i 0.545359 + 0.545359i 0.925095 0.379736i \(-0.123985\pi\)
−0.379736 + 0.925095i \(0.623985\pi\)
\(198\) −4.98573 + 1.85390i −0.354320 + 0.131751i
\(199\) 10.0996 5.83099i 0.715940 0.413348i −0.0973164 0.995253i \(-0.531026\pi\)
0.813257 + 0.581905i \(0.197693\pi\)
\(200\) −0.370279 + 1.38190i −0.0261827 + 0.0977150i
\(201\) −18.9891 1.59502i −1.33939 0.112504i
\(202\) 1.74689 + 1.74689i 0.122911 + 0.122911i
\(203\) 1.46584 6.08396i 0.102882 0.427011i
\(204\) 6.56524 + 2.36381i 0.459659 + 0.165500i
\(205\) 2.70365 + 1.56095i 0.188831 + 0.109022i
\(206\) 2.94584 + 0.789336i 0.205247 + 0.0549957i
\(207\) −3.75541 + 22.1968i −0.261019 + 1.54279i
\(208\) −1.97770 3.01475i −0.137129 0.209035i
\(209\) 5.85271i 0.404841i
\(210\) −7.73781 + 3.88364i −0.533960 + 0.267997i
\(211\) 9.45867 0.651162 0.325581 0.945514i \(-0.394440\pi\)
0.325581 + 0.945514i \(0.394440\pi\)
\(212\) −4.71797 + 8.17176i −0.324031 + 0.561239i
\(213\) 3.10862 + 2.16066i 0.212999 + 0.148046i
\(214\) 15.1240 + 4.05247i 1.03386 + 0.277021i
\(215\) 0.566356 + 2.11367i 0.0386251 + 0.144151i
\(216\) 1.29259 5.03281i 0.0879499 0.342439i
\(217\) 18.0250 + 9.80565i 1.22361 + 0.665651i
\(218\) 5.05892 0.342633
\(219\) 0.246346 2.93281i 0.0166465 0.198181i
\(220\) 2.90104 1.67492i 0.195588 0.112923i
\(221\) 14.5019 0.827343i 0.975505 0.0556531i
\(222\) −9.83409 + 8.31004i −0.660021 + 0.557733i
\(223\) 8.24792 8.24792i 0.552321 0.552321i −0.374789 0.927110i \(-0.622285\pi\)
0.927110 + 0.374789i \(0.122285\pi\)
\(224\) 1.26432 2.32411i 0.0844762 0.155286i
\(225\) −2.73595 + 3.30687i −0.182396 + 0.220458i
\(226\) −2.80243 10.4588i −0.186415 0.695711i
\(227\) 2.40458 8.97401i 0.159597 0.595626i −0.839070 0.544023i \(-0.816900\pi\)
0.998668 0.0516026i \(-0.0164329\pi\)
\(228\) −4.69465 3.26304i −0.310911 0.216100i
\(229\) 19.3307 5.17964i 1.27741 0.342281i 0.444544 0.895757i \(-0.353366\pi\)
0.832865 + 0.553477i \(0.186699\pi\)
\(230\) 14.1773i 0.934821i
\(231\) −7.71223 2.55770i −0.507427 0.168285i
\(232\) −1.67254 1.67254i −0.109807 0.109807i
\(233\) 11.6047 20.0999i 0.760248 1.31679i −0.182475 0.983210i \(-0.558411\pi\)
0.942723 0.333577i \(-0.108256\pi\)
\(234\) −1.62913 10.6933i −0.106500 0.699041i
\(235\) 9.33453 + 16.1679i 0.608918 + 1.05468i
\(236\) −12.1981 + 3.26848i −0.794031 + 0.212760i
\(237\) −3.92666 + 10.9059i −0.255064 + 0.708414i
\(238\) 5.56186 + 9.09263i 0.360522 + 0.589387i
\(239\) −5.31141 5.31141i −0.343567 0.343567i 0.514140 0.857706i \(-0.328111\pi\)
−0.857706 + 0.514140i \(0.828111\pi\)
\(240\) −0.273899 + 3.26083i −0.0176801 + 0.210486i
\(241\) 5.43462 20.2823i 0.350075 1.30650i −0.536496 0.843903i \(-0.680252\pi\)
0.886570 0.462594i \(-0.153081\pi\)
\(242\) −7.58848 2.03333i −0.487806 0.130707i
\(243\) 9.81160 12.1133i 0.629414 0.777070i
\(244\) 11.9292i 0.763689i
\(245\) −12.9314 2.77054i −0.826160 0.177003i
\(246\) −2.69288 0.969568i −0.171691 0.0618174i
\(247\) −11.6527 2.42054i −0.741444 0.154015i
\(248\) 6.71659 3.87782i 0.426504 0.246242i
\(249\) 8.39018 + 5.83163i 0.531706 + 0.369564i
\(250\) 6.07462 10.5216i 0.384193 0.665442i
\(251\) 2.44319 0.154213 0.0771063 0.997023i \(-0.475432\pi\)
0.0771063 + 0.997023i \(0.475432\pi\)
\(252\) 6.35138 4.76024i 0.400100 0.299867i
\(253\) 9.40832 9.40832i 0.591496 0.591496i
\(254\) 4.97067 + 18.5508i 0.311888 + 1.16398i
\(255\) −10.8250 7.52399i −0.677890 0.471170i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −2.17304 + 3.76382i −0.135551 + 0.234780i −0.925808 0.377995i \(-0.876614\pi\)
0.790257 + 0.612775i \(0.209947\pi\)
\(258\) −0.854125 1.81522i −0.0531755 0.113011i
\(259\) −19.6606 + 0.498915i −1.22165 + 0.0310011i
\(260\) 2.13495 + 6.46866i 0.132404 + 0.401169i
\(261\) −2.47314 6.65105i −0.153083 0.411689i
\(262\) −4.14588 1.11089i −0.256134 0.0686308i
\(263\) −9.85510 + 5.68984i −0.607691 + 0.350851i −0.772061 0.635548i \(-0.780774\pi\)
0.164370 + 0.986399i \(0.447441\pi\)
\(264\) −2.34572 + 1.98219i −0.144369 + 0.121995i
\(265\) 12.6056 12.6056i 0.774358 0.774358i
\(266\) −2.47361 8.37564i −0.151667 0.513544i
\(267\) 2.43258 + 5.16982i 0.148872 + 0.316388i
\(268\) −10.6271 + 2.84753i −0.649154 + 0.173940i
\(269\) 18.3630 10.6019i 1.11961 0.646408i 0.178310 0.983974i \(-0.442937\pi\)
0.941302 + 0.337566i \(0.109604\pi\)
\(270\) −4.81980 + 8.55231i −0.293324 + 0.520477i
\(271\) −14.2899 + 3.82897i −0.868051 + 0.232594i −0.665245 0.746625i \(-0.731673\pi\)
−0.202806 + 0.979219i \(0.565006\pi\)
\(272\) 4.02865 0.244273
\(273\) 8.28195 14.2972i 0.501247 0.865304i
\(274\) 6.69041 0.404183
\(275\) 2.45022 0.656535i 0.147754 0.0395905i
\(276\) 2.30134 + 12.7921i 0.138525 + 0.769994i
\(277\) −17.8363 + 10.2978i −1.07168 + 0.618735i −0.928640 0.370982i \(-0.879021\pi\)
−0.143040 + 0.989717i \(0.545688\pi\)
\(278\) 12.5104 3.35215i 0.750323 0.201049i
\(279\) 23.1638 2.18849i 1.38678 0.131022i
\(280\) −3.44370 + 3.62303i −0.205801 + 0.216518i
\(281\) −8.00943 + 8.00943i −0.477803 + 0.477803i −0.904428 0.426626i \(-0.859702\pi\)
0.426626 + 0.904428i \(0.359702\pi\)
\(282\) −11.0470 13.0730i −0.657839 0.778485i
\(283\) 1.97537 1.14048i 0.117423 0.0677945i −0.440138 0.897930i \(-0.645070\pi\)
0.557561 + 0.830136i \(0.311737\pi\)
\(284\) 2.11123 + 0.565703i 0.125279 + 0.0335683i
\(285\) 6.97170 + 8.25030i 0.412968 + 0.488706i
\(286\) −2.87594 + 5.70953i −0.170058 + 0.337611i
\(287\) −2.28131 3.72954i −0.134662 0.220148i
\(288\) −0.282181 2.98670i −0.0166277 0.175993i
\(289\) 0.384992 0.666826i 0.0226466 0.0392251i
\(290\) 2.23437 + 3.87004i 0.131207 + 0.227257i
\(291\) 7.19523 10.3520i 0.421792 0.606848i
\(292\) −0.439791 1.64132i −0.0257368 0.0960511i
\(293\) 19.4879 19.4879i 1.13850 1.13850i 0.149775 0.988720i \(-0.452145\pi\)
0.988720 0.149775i \(-0.0478550\pi\)
\(294\) 12.1177 + 0.400734i 0.706720 + 0.0233713i
\(295\) 23.8586 1.38910
\(296\) −3.71670 + 6.43751i −0.216029 + 0.374173i
\(297\) −8.87400 + 2.47697i −0.514922 + 0.143729i
\(298\) 1.50114 0.866685i 0.0869589 0.0502057i
\(299\) 14.8408 + 22.6229i 0.858268 + 1.30832i
\(300\) −0.839433 + 2.33144i −0.0484647 + 0.134606i
\(301\) 0.717784 2.97916i 0.0413724 0.171716i
\(302\) 5.26231i 0.302812i
\(303\) 2.76183 + 3.26835i 0.158663 + 0.187762i
\(304\) −3.18839 0.854328i −0.182867 0.0489990i
\(305\) 5.83314 21.7696i 0.334004 1.24652i
\(306\) 10.9887 + 5.03168i 0.628184 + 0.287642i
\(307\) 4.22431 + 4.22431i 0.241094 + 0.241094i 0.817303 0.576209i \(-0.195468\pi\)
−0.576209 + 0.817303i \(0.695468\pi\)
\(308\) −4.68963 + 0.119006i −0.267216 + 0.00678099i
\(309\) 4.97001 + 1.78945i 0.282734 + 0.101798i
\(310\) −14.1533 + 3.79235i −0.803851 + 0.215391i
\(311\) −1.39800 2.42141i −0.0792733 0.137305i 0.823663 0.567079i \(-0.191927\pi\)
−0.902937 + 0.429774i \(0.858593\pi\)
\(312\) −2.97639 5.49009i −0.168505 0.310815i
\(313\) 4.51429 7.81899i 0.255163 0.441955i −0.709777 0.704427i \(-0.751204\pi\)
0.964940 + 0.262471i \(0.0845375\pi\)
\(314\) −12.9683 12.9683i −0.731843 0.731843i
\(315\) −13.9183 + 5.58126i −0.784207 + 0.314468i
\(316\) 6.69222i 0.376467i
\(317\) −6.73660 + 1.80507i −0.378365 + 0.101383i −0.442989 0.896527i \(-0.646082\pi\)
0.0646238 + 0.997910i \(0.479415\pi\)
\(318\) −9.32779 + 13.4202i −0.523077 + 0.752570i
\(319\) −1.08547 + 4.05101i −0.0607744 + 0.226813i
\(320\) 0.488980 + 1.82490i 0.0273348 + 0.102015i
\(321\) 25.5161 + 9.18707i 1.42417 + 0.512772i
\(322\) −9.48760 + 17.4403i −0.528723 + 0.971911i
\(323\) 9.40313 9.40313i 0.523204 0.523204i
\(324\) 2.96062 8.49910i 0.164479 0.472172i
\(325\) 0.293805 + 5.14990i 0.0162974 + 0.285665i
\(326\) −14.7128 + 8.49443i −0.814865 + 0.470463i
\(327\) 8.73155 + 0.733421i 0.482856 + 0.0405583i
\(328\) −1.65244 −0.0912405
\(329\) −0.663235 26.1359i −0.0365653 1.44092i
\(330\) 5.24995 2.47028i 0.289000 0.135985i
\(331\) 3.70810 + 13.8388i 0.203816 + 0.760650i 0.989807 + 0.142413i \(0.0454861\pi\)
−0.785992 + 0.618237i \(0.787847\pi\)
\(332\) 5.69822 + 1.52683i 0.312731 + 0.0837959i
\(333\) −18.1781 + 12.9172i −0.996155 + 0.707858i
\(334\) −5.33374 + 9.23831i −0.291849 + 0.505498i
\(335\) 20.7858 1.13565
\(336\) 2.51913 3.82805i 0.137430 0.208837i
\(337\) 1.28563i 0.0700326i −0.999387 0.0350163i \(-0.988852\pi\)
0.999387 0.0350163i \(-0.0111483\pi\)
\(338\) −10.1782 8.08728i −0.553621 0.439890i
\(339\) −3.32065 18.4579i −0.180353 1.00250i
\(340\) −7.35187 1.96993i −0.398711 0.106834i
\(341\) −11.9091 6.87570i −0.644912 0.372340i
\(342\) −7.62978 6.31253i −0.412571 0.341342i
\(343\) 14.0537 + 12.0621i 0.758828 + 0.651292i
\(344\) −0.818999 0.818999i −0.0441575 0.0441575i
\(345\) 2.05536 24.4696i 0.110657 1.31740i
\(346\) 3.83129 14.2986i 0.205972 0.768696i
\(347\) 18.9998 10.9696i 1.01997 0.588877i 0.105871 0.994380i \(-0.466237\pi\)
0.914094 + 0.405503i \(0.132904\pi\)
\(348\) −2.64427 3.12923i −0.141748 0.167744i
\(349\) −17.9380 17.9380i −0.960198 0.960198i 0.0390397 0.999238i \(-0.487570\pi\)
−0.999238 + 0.0390397i \(0.987570\pi\)
\(350\) −3.22896 + 1.97512i −0.172595 + 0.105574i
\(351\) −1.26157 18.6925i −0.0673374 0.997730i
\(352\) −0.886542 + 1.53553i −0.0472528 + 0.0818443i
\(353\) −5.94830 + 22.1994i −0.316596 + 1.18155i 0.605898 + 0.795542i \(0.292814\pi\)
−0.922494 + 0.386011i \(0.873853\pi\)
\(354\) −21.5275 + 3.87287i −1.14417 + 0.205841i
\(355\) −3.57617 2.06470i −0.189803 0.109583i
\(356\) 2.33254 + 2.33254i 0.123624 + 0.123624i
\(357\) 8.28140 + 16.5000i 0.438298 + 0.873271i
\(358\) −13.1386 13.1386i −0.694395 0.694395i
\(359\) 5.49845 + 20.5205i 0.290197 + 1.08303i 0.944957 + 0.327193i \(0.106103\pi\)
−0.654761 + 0.755836i \(0.727231\pi\)
\(360\) −0.945485 + 5.58840i −0.0498314 + 0.294535i
\(361\) 7.01850 4.05213i 0.369395 0.213270i
\(362\) 4.98348 + 18.5986i 0.261926 + 0.977521i
\(363\) −12.8027 4.60962i −0.671969 0.241942i
\(364\) 1.70257 9.38623i 0.0892391 0.491972i
\(365\) 3.21029i 0.168034i
\(366\) −1.72945 + 20.5895i −0.0903996 + 1.07623i
\(367\) 12.2557 + 21.2274i 0.639740 + 1.10806i 0.985490 + 0.169735i \(0.0542913\pi\)
−0.345750 + 0.938327i \(0.612375\pi\)
\(368\) 3.75204 + 6.49873i 0.195589 + 0.338770i
\(369\) −4.50727 2.06385i −0.234639 0.107440i
\(370\) 9.93040 9.93040i 0.516257 0.516257i
\(371\) −23.9428 + 7.07112i −1.24305 + 0.367114i
\(372\) 12.1548 5.71927i 0.630199 0.296531i
\(373\) 8.95144 15.5044i 0.463488 0.802785i −0.535644 0.844444i \(-0.679931\pi\)
0.999132 + 0.0416590i \(0.0132643\pi\)
\(374\) −3.57156 6.18613i −0.184681 0.319877i
\(375\) 12.0100 17.2792i 0.620194 0.892297i
\(376\) −8.55773 4.94081i −0.441331 0.254803i
\(377\) −7.61661 3.83655i −0.392275 0.197592i
\(378\) 11.6524 7.29526i 0.599337 0.375227i
\(379\) −18.5922 + 18.5922i −0.955019 + 0.955019i −0.999031 0.0440116i \(-0.985986\pi\)
0.0440116 + 0.999031i \(0.485986\pi\)
\(380\) 5.40074 + 3.11812i 0.277052 + 0.159956i
\(381\) 5.88983 + 32.7388i 0.301745 + 1.67726i
\(382\) 14.7245 + 3.94542i 0.753371 + 0.201865i
\(383\) −20.5305 + 5.50114i −1.04906 + 0.281095i −0.741864 0.670551i \(-0.766058\pi\)
−0.307197 + 0.951646i \(0.599391\pi\)
\(384\) −0.737434 1.56722i −0.0376320 0.0799771i
\(385\) 8.61628 + 2.07596i 0.439126 + 0.105801i
\(386\) 20.9919i 1.06846i
\(387\) −1.21103 3.25685i −0.0615603 0.165555i
\(388\) 1.88385 7.03063i 0.0956381 0.356926i
\(389\) 6.58614 + 11.4075i 0.333931 + 0.578385i 0.983279 0.182106i \(-0.0582915\pi\)
−0.649348 + 0.760491i \(0.724958\pi\)
\(390\) 2.74707 + 11.4742i 0.139103 + 0.581021i
\(391\) −30.2313 −1.52886
\(392\) 6.66089 2.15234i 0.336426 0.108710i
\(393\) −6.99463 2.51841i −0.352833 0.127037i
\(394\) 9.37479 + 5.41253i 0.472295 + 0.272680i
\(395\) 3.27236 12.2126i 0.164650 0.614483i
\(396\) −4.33602 + 3.08113i −0.217893 + 0.154833i
\(397\) −22.5853 + 6.05173i −1.13353 + 0.303727i −0.776345 0.630308i \(-0.782929\pi\)
−0.357181 + 0.934035i \(0.616262\pi\)
\(398\) 8.24627 8.24627i 0.413348 0.413348i
\(399\) −3.05512 14.8147i −0.152947 0.741665i
\(400\) 1.43065i 0.0715324i
\(401\) 2.69059 + 10.0414i 0.134362 + 0.501444i 1.00000 0.000774026i \(0.000246380\pi\)
−0.865638 + 0.500670i \(0.833087\pi\)
\(402\) −18.7549 + 3.37408i −0.935411 + 0.168284i
\(403\) 18.6148 20.8672i 0.927267 1.03947i
\(404\) 2.13950 + 1.23524i 0.106444 + 0.0614555i
\(405\) −9.55872 + 14.0623i −0.474977 + 0.698762i
\(406\) −0.158756 6.25604i −0.00787892 0.310482i
\(407\) 13.1800 0.653310
\(408\) 6.95334 + 0.584057i 0.344242 + 0.0289151i
\(409\) −2.65150 0.710467i −0.131108 0.0351304i 0.192668 0.981264i \(-0.438286\pi\)
−0.323776 + 0.946134i \(0.604953\pi\)
\(410\) 3.01553 + 0.808008i 0.148926 + 0.0399047i
\(411\) 11.5475 + 0.969949i 0.569595 + 0.0478440i
\(412\) 3.04976 0.150251
\(413\) −29.3499 15.9664i −1.44421 0.785657i
\(414\) 2.11751 + 22.4125i 0.104070 + 1.10151i
\(415\) −9.65208 5.57263i −0.473802 0.273550i
\(416\) −2.69059 2.40016i −0.131917 0.117677i
\(417\) 22.0786 3.97201i 1.08119 0.194510i
\(418\) 1.51479 + 5.65329i 0.0740910 + 0.276511i
\(419\) 36.6360i 1.78979i −0.446281 0.894893i \(-0.647252\pi\)
0.446281 0.894893i \(-0.352748\pi\)
\(420\) −6.46899 + 5.75400i −0.315655 + 0.280767i
\(421\) −8.20942 + 8.20942i −0.400103 + 0.400103i −0.878269 0.478167i \(-0.841302\pi\)
0.478167 + 0.878269i \(0.341302\pi\)
\(422\) 9.13638 2.44808i 0.444752 0.119171i
\(423\) −17.1715 24.1652i −0.834908 1.17495i
\(424\) −2.44220 + 9.11442i −0.118604 + 0.442635i
\(425\) −4.99140 2.88179i −0.242119 0.139787i
\(426\) 3.56192 + 1.28247i 0.172575 + 0.0621357i
\(427\) −21.7441 + 22.8765i −1.05227 + 1.10707i
\(428\) 15.6575 0.756836
\(429\) −5.79153 + 9.43755i −0.279618 + 0.455649i
\(430\) 1.09412 + 1.89506i 0.0527629 + 0.0913881i
\(431\) 3.40340 12.7016i 0.163936 0.611817i −0.834238 0.551405i \(-0.814092\pi\)
0.998174 0.0604118i \(-0.0192414\pi\)
\(432\) −0.0540370 5.19587i −0.00259985 0.249986i
\(433\) 20.3113i 0.976097i 0.872816 + 0.488049i \(0.162291\pi\)
−0.872816 + 0.488049i \(0.837709\pi\)
\(434\) 19.9487 + 4.80632i 0.957567 + 0.230711i
\(435\) 3.29540 + 7.00352i 0.158002 + 0.335793i
\(436\) 4.88654 1.30934i 0.234023 0.0627062i
\(437\) 23.9260 + 6.41095i 1.14453 + 0.306677i
\(438\) −0.521115 2.89664i −0.0248998 0.138407i
\(439\) 25.1485 + 14.5195i 1.20027 + 0.692977i 0.960615 0.277881i \(-0.0896321\pi\)
0.239656 + 0.970858i \(0.422965\pi\)
\(440\) 2.36869 2.36869i 0.112923 0.112923i
\(441\) 20.8568 + 2.44844i 0.993180 + 0.116592i
\(442\) 13.7936 4.55253i 0.656097 0.216542i
\(443\) 21.6793 + 12.5166i 1.03002 + 0.594680i 0.916989 0.398912i \(-0.130612\pi\)
0.113026 + 0.993592i \(0.463946\pi\)
\(444\) −7.34820 + 10.5721i −0.348730 + 0.501731i
\(445\) −3.11608 5.39722i −0.147717 0.255853i
\(446\) 5.83216 10.1016i 0.276161 0.478324i
\(447\) 2.71658 1.27825i 0.128490 0.0604589i
\(448\) 0.619719 2.57215i 0.0292790 0.121523i
\(449\) 23.3615 23.3615i 1.10250 1.10250i 0.108386 0.994109i \(-0.465432\pi\)
0.994109 0.108386i \(-0.0345684\pi\)
\(450\) −1.78684 + 3.90230i −0.0842325 + 0.183956i
\(451\) 1.46495 + 2.53737i 0.0689820 + 0.119480i
\(452\) −5.41389 9.37713i −0.254648 0.441063i
\(453\) −0.762908 + 9.08260i −0.0358445 + 0.426738i
\(454\) 9.29057i 0.436028i
\(455\) −7.69670 + 16.2964i −0.360827 + 0.763986i
\(456\) −5.37922 1.93679i −0.251905 0.0906983i
\(457\) −3.96263 14.7887i −0.185364 0.691788i −0.994552 0.104239i \(-0.966759\pi\)
0.809188 0.587550i \(-0.199907\pi\)
\(458\) 17.3314 10.0063i 0.809845 0.467564i
\(459\) 18.2368 + 10.2776i 0.851220 + 0.479719i
\(460\) −3.66935 13.6942i −0.171084 0.638495i
\(461\) 20.4542 + 20.4542i 0.952648 + 0.952648i 0.998929 0.0462800i \(-0.0147367\pi\)
−0.0462800 + 0.998929i \(0.514737\pi\)
\(462\) −8.11142 0.474482i −0.377377 0.0220749i
\(463\) 11.4042 + 11.4042i 0.530000 + 0.530000i 0.920572 0.390572i \(-0.127723\pi\)
−0.390572 + 0.920572i \(0.627723\pi\)
\(464\) −2.04843 1.18266i −0.0950960 0.0549037i
\(465\) −24.9779 + 4.49362i −1.15832 + 0.208387i
\(466\) 6.00702 22.4185i 0.278270 1.03852i
\(467\) −7.70434 + 13.3443i −0.356514 + 0.617501i −0.987376 0.158394i \(-0.949368\pi\)
0.630861 + 0.775895i \(0.282702\pi\)
\(468\) −4.34124 9.90725i −0.200674 0.457963i
\(469\) −25.5698 13.9101i −1.18071 0.642308i
\(470\) 13.2010 + 13.2010i 0.608918 + 0.608918i
\(471\) −20.5028 24.2630i −0.944720 1.11798i
\(472\) −10.9365 + 6.31422i −0.503395 + 0.290636i
\(473\) −0.531525 + 1.98368i −0.0244395 + 0.0912096i
\(474\) −0.970211 + 11.5506i −0.0445632 + 0.530536i
\(475\) 3.33923 + 3.33923i 0.153214 + 0.153214i
\(476\) 7.72569 + 7.34329i 0.354106 + 0.336579i
\(477\) −18.0451 + 21.8107i −0.826230 + 0.998642i
\(478\) −6.50513 3.75574i −0.297538 0.171783i
\(479\) −10.6367 2.85010i −0.486004 0.130224i 0.00749277 0.999972i \(-0.497615\pi\)
−0.493497 + 0.869747i \(0.664282\pi\)
\(480\) 0.579400 + 3.22061i 0.0264459 + 0.147000i
\(481\) −5.45093 + 26.2413i −0.248541 + 1.19650i
\(482\) 20.9978i 0.956422i
\(483\) −18.9038 + 28.7260i −0.860151 + 1.30708i
\(484\) −7.85618 −0.357099
\(485\) −6.87568 + 11.9090i −0.312208 + 0.540761i
\(486\) 6.34211 14.2400i 0.287684 0.645939i
\(487\) −28.1534 7.54368i −1.27575 0.341837i −0.443521 0.896264i \(-0.646271\pi\)
−0.832232 + 0.554427i \(0.812937\pi\)
\(488\) 3.08750 + 11.5227i 0.139765 + 0.521609i
\(489\) −26.6253 + 12.5282i −1.20404 + 0.566543i
\(490\) −13.2079 + 0.670770i −0.596672 + 0.0303023i
\(491\) 17.6204 0.795198 0.397599 0.917559i \(-0.369844\pi\)
0.397599 + 0.917559i \(0.369844\pi\)
\(492\) −2.85206 0.239563i −0.128581 0.0108004i
\(493\) 8.25241 4.76453i 0.371670 0.214584i
\(494\) −11.8821 + 0.677883i −0.534602 + 0.0304994i
\(495\) 9.41940 3.50253i 0.423370 0.157427i
\(496\) 5.48407 5.48407i 0.246242 0.246242i
\(497\) 3.01754 + 4.93313i 0.135355 + 0.221281i
\(498\) 9.61363 + 3.46138i 0.430797 + 0.155108i
\(499\) −1.57562 5.88028i −0.0705343 0.263238i 0.921649 0.388024i \(-0.126842\pi\)
−0.992184 + 0.124786i \(0.960175\pi\)
\(500\) 3.14446 11.7353i 0.140624 0.524817i
\(501\) −10.5452 + 15.1718i −0.471126 + 0.677826i
\(502\) 2.35994 0.632344i 0.105329 0.0282229i
\(503\) 38.6506i 1.72334i 0.507466 + 0.861671i \(0.330582\pi\)
−0.507466 + 0.861671i \(0.669418\pi\)
\(504\) 4.90292 6.24190i 0.218394 0.278036i
\(505\) −3.30036 3.30036i −0.146864 0.146864i
\(506\) 6.65268 11.5228i 0.295748 0.512250i
\(507\) −16.3948 15.4340i −0.728120 0.685449i
\(508\) 9.60260 + 16.6322i 0.426047 + 0.737934i
\(509\) −1.77675 + 0.476080i −0.0787532 + 0.0211019i −0.297981 0.954572i \(-0.596313\pi\)
0.219227 + 0.975674i \(0.429646\pi\)
\(510\) −12.4035 4.46589i −0.549238 0.197753i
\(511\) 2.14837 3.94918i 0.0950381 0.174701i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −12.2536 12.0014i −0.541011 0.529874i
\(514\) −1.12485 + 4.19799i −0.0496149 + 0.185166i
\(515\) −5.56550 1.49127i −0.245245 0.0657133i
\(516\) −1.29483 1.53231i −0.0570019 0.0674560i
\(517\) 17.5209i 0.770569i
\(518\) −18.8615 + 5.57045i −0.828728 + 0.244751i
\(519\) 8.68565 24.1235i 0.381258 1.05890i
\(520\) 3.73642 + 5.69568i 0.163853 + 0.249772i
\(521\) −11.5622 + 6.67544i −0.506549 + 0.292456i −0.731414 0.681934i \(-0.761139\pi\)
0.224865 + 0.974390i \(0.427806\pi\)
\(522\) −4.11028 5.78432i −0.179902 0.253173i
\(523\) −7.83685 + 13.5738i −0.342681 + 0.593542i −0.984930 0.172955i \(-0.944668\pi\)
0.642248 + 0.766497i \(0.278002\pi\)
\(524\) −4.29214 −0.187503
\(525\) −5.85944 + 2.94088i −0.255727 + 0.128350i
\(526\) −8.04665 + 8.04665i −0.350851 + 0.350851i
\(527\) 8.08674 + 30.1801i 0.352264 + 1.31467i
\(528\) −1.75276 + 2.52176i −0.0762792 + 0.109746i
\(529\) −16.6557 28.8484i −0.724159 1.25428i
\(530\) 8.91353 15.4387i 0.387179 0.670614i
\(531\) −37.7174 + 3.56350i −1.63679 + 0.154643i
\(532\) −4.55710 7.45003i −0.197575 0.323000i
\(533\) −5.65776 + 1.86732i −0.245065 + 0.0808824i
\(534\) 3.68774 + 4.36407i 0.159584 + 0.188852i
\(535\) −28.5734 7.65622i −1.23534 0.331007i
\(536\) −9.52801 + 5.50100i −0.411547 + 0.237607i
\(537\) −20.7720 24.5816i −0.896380 1.06077i
\(538\) 14.9933 14.9933i 0.646408 0.646408i
\(539\) −9.21015 8.31988i −0.396709 0.358363i
\(540\) −2.44206 + 9.50836i −0.105090 + 0.409175i
\(541\) 28.0736 7.52229i 1.20698 0.323409i 0.401402 0.915902i \(-0.368523\pi\)
0.805575 + 0.592493i \(0.201856\pi\)
\(542\) −12.8120 + 7.39701i −0.550322 + 0.317729i
\(543\) 5.90500 + 32.8232i 0.253408 + 1.40858i
\(544\) 3.89138 1.04269i 0.166841 0.0447050i
\(545\) −9.55767 −0.409406
\(546\) 4.29937 15.9535i 0.183996 0.682748i
\(547\) −30.9427 −1.32301 −0.661506 0.749939i \(-0.730083\pi\)
−0.661506 + 0.749939i \(0.730083\pi\)
\(548\) 6.46244 1.73161i 0.276062 0.0739706i
\(549\) −5.96995 + 35.2861i −0.254791 + 1.50598i
\(550\) 2.19681 1.26833i 0.0936722 0.0540817i
\(551\) −7.54158 + 2.02076i −0.321282 + 0.0860873i
\(552\) 5.53377 + 11.7606i 0.235533 + 0.500564i
\(553\) −12.1984 + 12.8336i −0.518727 + 0.545739i
\(554\) −14.5633 + 14.5633i −0.618735 + 0.618735i
\(555\) 18.5793 15.6999i 0.788646 0.666425i
\(556\) 11.2165 6.47585i 0.475686 0.274637i
\(557\) −6.35250 1.70215i −0.269164 0.0721223i 0.121713 0.992565i \(-0.461161\pi\)
−0.390877 + 0.920443i \(0.627828\pi\)
\(558\) 21.8081 8.10915i 0.923209 0.343288i
\(559\) −3.72966 1.87866i −0.157748 0.0794589i
\(560\) −2.38865 + 4.39088i −0.100939 + 0.185548i
\(561\) −5.26758 11.1949i −0.222398 0.472648i
\(562\) −5.66353 + 9.80951i −0.238901 + 0.413789i
\(563\) −22.8101 39.5083i −0.961332 1.66508i −0.719163 0.694842i \(-0.755474\pi\)
−0.242169 0.970234i \(-0.577859\pi\)
\(564\) −14.0541 9.76836i −0.591785 0.411322i
\(565\) 5.29456 + 19.7596i 0.222744 + 0.831292i
\(566\) 1.61288 1.61288i 0.0677945 0.0677945i
\(567\) 21.1694 10.9021i 0.889032 0.457845i
\(568\) 2.18571 0.0917103
\(569\) 5.55993 9.63007i 0.233084 0.403714i −0.725630 0.688085i \(-0.758452\pi\)
0.958714 + 0.284371i \(0.0917849\pi\)
\(570\) 8.86948 + 6.16477i 0.371502 + 0.258214i
\(571\) −14.9711 + 8.64357i −0.626521 + 0.361722i −0.779404 0.626522i \(-0.784478\pi\)
0.152882 + 0.988244i \(0.451144\pi\)
\(572\) −1.30021 + 6.25933i −0.0543644 + 0.261716i
\(573\) 24.8421 + 8.94438i 1.03779 + 0.373657i
\(574\) −3.16885 3.01201i −0.132265 0.125719i
\(575\) 10.7357i 0.447710i
\(576\) −1.04558 2.81190i −0.0435659 0.117162i
\(577\) −2.99074 0.801367i −0.124506 0.0333613i 0.196028 0.980598i \(-0.437196\pi\)
−0.320534 + 0.947237i \(0.603862\pi\)
\(578\) 0.199287 0.743748i 0.00828923 0.0309358i
\(579\) 3.04331 36.2314i 0.126476 1.50572i
\(580\) 3.15988 + 3.15988i 0.131207 + 0.131207i
\(581\) 8.14434 + 13.3145i 0.337884 + 0.552380i
\(582\) 4.27075 11.8616i 0.177028 0.491678i
\(583\) 16.1606 4.33022i 0.669304 0.179340i
\(584\) −0.849611 1.47157i −0.0351571 0.0608940i
\(585\) 3.07787 + 20.2025i 0.127254 + 0.835271i
\(586\) 13.7800 23.8677i 0.569248 0.985966i
\(587\) 17.5046 + 17.5046i 0.722490 + 0.722490i 0.969112 0.246621i \(-0.0793204\pi\)
−0.246621 + 0.969112i \(0.579320\pi\)
\(588\) 11.8085 2.74922i 0.486976 0.113376i
\(589\) 25.6004i 1.05484i
\(590\) 23.0456 6.17505i 0.948773 0.254223i
\(591\) 15.3959 + 10.7010i 0.633304 + 0.440181i
\(592\) −1.92390 + 7.18011i −0.0790720 + 0.295101i
\(593\) 1.20868 + 4.51085i 0.0496345 + 0.185238i 0.986292 0.165007i \(-0.0527648\pi\)
−0.936658 + 0.350246i \(0.886098\pi\)
\(594\) −7.93054 + 4.68933i −0.325394 + 0.192406i
\(595\) −10.5079 17.1785i −0.430780 0.704248i
\(596\) 1.22568 1.22568i 0.0502057 0.0502057i
\(597\) 15.4284 13.0373i 0.631440 0.533582i
\(598\) 20.1904 + 18.0110i 0.825646 + 0.736524i
\(599\) −30.3818 + 17.5409i −1.24137 + 0.716703i −0.969372 0.245596i \(-0.921016\pi\)
−0.271994 + 0.962299i \(0.587683\pi\)
\(600\) −0.207409 + 2.46926i −0.00846745 + 0.100807i
\(601\) −31.5161 −1.28557 −0.642784 0.766048i \(-0.722221\pi\)
−0.642784 + 0.766048i \(0.722221\pi\)
\(602\) −0.0777388 3.06343i −0.00316840 0.124856i
\(603\) −32.8597 + 3.10455i −1.33815 + 0.126427i
\(604\) 1.36199 + 5.08300i 0.0554184 + 0.206824i
\(605\) 14.3367 + 3.84151i 0.582870 + 0.156180i
\(606\) 3.51364 + 2.44217i 0.142732 + 0.0992063i
\(607\) −4.82277 + 8.35328i −0.195750 + 0.339049i −0.947146 0.320802i \(-0.896047\pi\)
0.751396 + 0.659851i \(0.229381\pi\)
\(608\) −3.30087 −0.133868
\(609\) 0.632967 10.8208i 0.0256491 0.438480i
\(610\) 22.5375i 0.912517i
\(611\) −34.8840 7.24622i −1.41126 0.293151i
\(612\) 11.9166 + 2.01613i 0.481700 + 0.0814974i
\(613\) 6.27588 + 1.68162i 0.253480 + 0.0679198i 0.383322 0.923615i \(-0.374780\pi\)
−0.129841 + 0.991535i \(0.541447\pi\)
\(614\) 5.17370 + 2.98704i 0.208794 + 0.120547i
\(615\) 5.08758 + 1.83178i 0.205151 + 0.0738645i
\(616\) −4.49903 + 1.32872i −0.181271 + 0.0535355i
\(617\) −15.3887 15.3887i −0.619527 0.619527i 0.325883 0.945410i \(-0.394339\pi\)
−0.945410 + 0.325883i \(0.894339\pi\)
\(618\) 5.26380 + 0.442142i 0.211741 + 0.0177856i
\(619\) −10.0159 + 37.3800i −0.402575 + 1.50243i 0.405911 + 0.913913i \(0.366954\pi\)
−0.808485 + 0.588516i \(0.799712\pi\)
\(620\) −12.6895 + 7.32627i −0.509621 + 0.294230i
\(621\) 0.405498 + 38.9903i 0.0162721 + 1.56463i
\(622\) −1.97707 1.97707i −0.0792733 0.0792733i
\(623\) 0.221403 + 8.72476i 0.00887033 + 0.349550i
\(624\) −4.29591 4.53267i −0.171974 0.181452i
\(625\) −7.90001 + 13.6832i −0.316000 + 0.547328i
\(626\) 2.33677 8.72095i 0.0933961 0.348559i
\(627\) 1.79490 + 9.97703i 0.0716815 + 0.398444i
\(628\) −15.8828 9.16996i −0.633794 0.365921i
\(629\) −21.1754 21.1754i −0.844318 0.844318i
\(630\) −11.9995 + 8.99340i −0.478071 + 0.358306i
\(631\) −0.880984 0.880984i −0.0350714 0.0350714i 0.689354 0.724425i \(-0.257895\pi\)
−0.724425 + 0.689354i \(0.757895\pi\)
\(632\) 1.73207 + 6.46419i 0.0688982 + 0.257132i
\(633\) 16.1240 2.90077i 0.640873 0.115295i
\(634\) −6.03987 + 3.48712i −0.239874 + 0.138491i
\(635\) −9.39096 35.0475i −0.372669 1.39082i
\(636\) −5.53654 + 15.3772i −0.219538 + 0.609745i
\(637\) 20.3739 14.8964i 0.807244 0.590219i
\(638\) 4.19392i 0.166039i
\(639\) 5.96184 + 2.72989i 0.235847 + 0.107993i
\(640\) 0.944637 + 1.63616i 0.0373400 + 0.0646748i
\(641\) −20.8196 36.0606i −0.822326 1.42431i −0.903946 0.427646i \(-0.859343\pi\)
0.0816205 0.996663i \(-0.473990\pi\)
\(642\) 27.0245 + 2.26997i 1.06657 + 0.0895884i
\(643\) 6.49542 6.49542i 0.256154 0.256154i −0.567334 0.823488i \(-0.692025\pi\)
0.823488 + 0.567334i \(0.192025\pi\)
\(644\) −4.65043 + 19.3016i −0.183253 + 0.760591i
\(645\) 1.61367 + 3.42945i 0.0635384 + 0.135034i
\(646\) 6.64902 11.5164i 0.261602 0.453108i
\(647\) 12.5131 + 21.6734i 0.491941 + 0.852068i 0.999957 0.00928034i \(-0.00295406\pi\)
−0.508015 + 0.861348i \(0.669621\pi\)
\(648\) 0.660010 8.97577i 0.0259276 0.352601i
\(649\) 19.3914 + 11.1956i 0.761179 + 0.439467i
\(650\) 1.61669 + 4.89838i 0.0634116 + 0.192130i
\(651\) 33.7341 + 11.1877i 1.32214 + 0.438479i
\(652\) −12.0129 + 12.0129i −0.470463 + 0.470463i
\(653\) −6.96251 4.01981i −0.272464 0.157307i 0.357543 0.933897i \(-0.383615\pi\)
−0.630007 + 0.776590i \(0.716948\pi\)
\(654\) 8.62386 1.55146i 0.337219 0.0606670i
\(655\) 7.83271 + 2.09877i 0.306049 + 0.0820056i
\(656\) −1.59613 + 0.427682i −0.0623185 + 0.0166982i
\(657\) −0.479488 5.07506i −0.0187066 0.197997i
\(658\) −7.40510 25.0737i −0.288681 0.977473i
\(659\) 9.01704i 0.351254i 0.984457 + 0.175627i \(0.0561953\pi\)
−0.984457 + 0.175627i \(0.943805\pi\)
\(660\) 4.43170 3.74490i 0.172504 0.145770i
\(661\) −7.64816 + 28.5433i −0.297479 + 1.11021i 0.641749 + 0.766914i \(0.278209\pi\)
−0.939228 + 0.343293i \(0.888458\pi\)
\(662\) 7.16350 + 12.4075i 0.278417 + 0.482233i
\(663\) 24.4675 5.85779i 0.950238 0.227498i
\(664\) 5.89924 0.228935
\(665\) 4.67332 + 15.8239i 0.181224 + 0.613623i
\(666\) −14.2155 + 17.1819i −0.550839 + 0.665785i
\(667\) 15.3716 + 8.87480i 0.595191 + 0.343633i
\(668\) −2.76095 + 10.3040i −0.106824 + 0.398673i
\(669\) 11.5306 16.5896i 0.445800 0.641389i
\(670\) 20.0775 5.37975i 0.775662 0.207838i
\(671\) 14.9563 14.9563i 0.577383 0.577383i
\(672\) 1.44252 4.34961i 0.0556464 0.167790i
\(673\) 22.6718i 0.873933i 0.899478 + 0.436967i \(0.143947\pi\)
−0.899478 + 0.436967i \(0.856053\pi\)
\(674\) −0.332745 1.24182i −0.0128169 0.0478332i
\(675\) −3.64978 + 6.47622i −0.140480 + 0.249270i
\(676\) −11.9245 5.17740i −0.458636 0.199131i
\(677\) −35.2952 20.3777i −1.35650 0.783178i −0.367354 0.930081i \(-0.619736\pi\)
−0.989151 + 0.146903i \(0.953070\pi\)
\(678\) −7.98476 16.9696i −0.306653 0.651712i
\(679\) 16.4278 10.0487i 0.630443 0.385635i
\(680\) −7.61122 −0.291877
\(681\) 1.34691 16.0353i 0.0516137 0.614473i
\(682\) −13.2828 3.55913i −0.508626 0.136286i
\(683\) 32.6006 + 8.73532i 1.24743 + 0.334248i 0.821343 0.570435i \(-0.193225\pi\)
0.426086 + 0.904683i \(0.359892\pi\)
\(684\) −9.00361 4.12270i −0.344261 0.157635i
\(685\) −12.6400 −0.482950
\(686\) 16.6967 + 8.01372i 0.637483 + 0.305965i
\(687\) 31.3642 14.7580i 1.19662 0.563052i
\(688\) −1.00306 0.579120i −0.0382415 0.0220787i
\(689\) 1.93781 + 33.9665i 0.0738247 + 1.29402i
\(690\) −4.34787 24.1678i −0.165520 0.920051i
\(691\) 3.33672 + 12.4528i 0.126935 + 0.473728i 0.999901 0.0140528i \(-0.00447329\pi\)
−0.872966 + 0.487781i \(0.837807\pi\)
\(692\) 14.8030i 0.562725i
\(693\) −13.9313 1.99490i −0.529206 0.0757801i
\(694\) 15.5133 15.5133i 0.588877 0.588877i
\(695\) −23.6355 + 6.33312i −0.896547 + 0.240229i
\(696\) −3.36408 2.33822i −0.127515 0.0886298i
\(697\) 1.72298 6.43025i 0.0652626 0.243563i
\(698\) −21.9694 12.6841i −0.831556 0.480099i
\(699\) 13.6181 37.8229i 0.515084 1.43059i
\(700\) −2.60774 + 2.74353i −0.0985632 + 0.103696i
\(701\) −7.08221 −0.267492 −0.133746 0.991016i \(-0.542701\pi\)
−0.133746 + 0.991016i \(0.542701\pi\)
\(702\) −6.05655 17.7290i −0.228590 0.669139i
\(703\) 12.2683 + 21.2494i 0.462709 + 0.801435i
\(704\) −0.458908 + 1.71267i −0.0172957 + 0.0645486i
\(705\) 20.8708 + 24.6984i 0.786039 + 0.930197i
\(706\) 22.9825i 0.864957i
\(707\) 1.85133 + 6.26861i 0.0696265 + 0.235755i
\(708\) −19.7916 + 9.31263i −0.743814 + 0.349990i
\(709\) 24.3392 6.52166i 0.914076 0.244926i 0.229025 0.973421i \(-0.426446\pi\)
0.685052 + 0.728495i \(0.259780\pi\)
\(710\) −3.98869 1.06877i −0.149693 0.0401101i
\(711\) −3.34911 + 19.7953i −0.125602 + 0.742383i
\(712\) 2.85677 + 1.64936i 0.107062 + 0.0618122i
\(713\) −41.1529 + 41.1529i −1.54119 + 1.54119i
\(714\) 12.2697 + 13.7944i 0.459183 + 0.516241i
\(715\) 5.43343 10.7869i 0.203199 0.403405i
\(716\) −16.0914 9.29037i −0.601364 0.347197i
\(717\) −10.6832 7.42539i −0.398971 0.277306i
\(718\) 10.6222 + 18.3982i 0.396416 + 0.686613i
\(719\) 8.08257 13.9994i 0.301429 0.522090i −0.675031 0.737789i \(-0.735870\pi\)
0.976460 + 0.215699i \(0.0692031\pi\)
\(720\) 0.533117 + 5.64269i 0.0198681 + 0.210291i
\(721\) 5.84848 + 5.55900i 0.217809 + 0.207028i
\(722\) 5.73058 5.73058i 0.213270 0.213270i
\(723\) 3.04417 36.2416i 0.113214 1.34784i
\(724\) 9.62735 + 16.6751i 0.357798 + 0.619724i
\(725\) 1.69197 + 2.93058i 0.0628383 + 0.108839i
\(726\) −13.5595 1.13896i −0.503242 0.0422706i
\(727\) 13.8986i 0.515470i 0.966216 + 0.257735i \(0.0829762\pi\)
−0.966216 + 0.257735i \(0.917024\pi\)
\(728\) −0.784774 9.50706i −0.0290857 0.352355i
\(729\) 13.0108 23.6584i 0.481881 0.876237i
\(730\) 0.830885 + 3.10091i 0.0307524 + 0.114770i
\(731\) 4.04100 2.33307i 0.149462 0.0862917i
\(732\) 3.65843 + 20.3355i 0.135219 + 0.751622i
\(733\) −13.4604 50.2347i −0.497170 1.85546i −0.517522 0.855670i \(-0.673146\pi\)
0.0203527 0.999793i \(-0.493521\pi\)
\(734\) 17.3321 + 17.3321i 0.639740 + 0.639740i
\(735\) −22.8937 0.757096i −0.844447 0.0279259i
\(736\) 5.30619 + 5.30619i 0.195589 + 0.195589i
\(737\) 16.8939 + 9.75373i 0.622297 + 0.359283i
\(738\) −4.88785 0.826960i −0.179924 0.0304408i
\(739\) 10.6200 39.6342i 0.390662 1.45797i −0.438384 0.898788i \(-0.644449\pi\)
0.829045 0.559181i \(-0.188884\pi\)
\(740\) 7.02186 12.1622i 0.258129 0.447092i
\(741\) −20.6065 0.552615i −0.756999 0.0203008i
\(742\) −21.2968 + 13.0270i −0.781831 + 0.478237i
\(743\) −22.9626 22.9626i −0.842414 0.842414i 0.146758 0.989172i \(-0.453116\pi\)
−0.989172 + 0.146758i \(0.953116\pi\)
\(744\) 10.2604 8.67030i 0.376165 0.317869i
\(745\) −2.83607 + 1.63741i −0.103906 + 0.0599899i
\(746\) 4.63361 17.2929i 0.169648 0.633137i
\(747\) 16.0910 + 7.36799i 0.588740 + 0.269581i
\(748\) −5.05096 5.05096i −0.184681 0.184681i
\(749\) 30.0262 + 28.5400i 1.09714 + 1.04283i
\(750\) 7.12858 19.7989i 0.260299 0.722953i
\(751\) 13.1524 + 7.59356i 0.479939 + 0.277093i 0.720391 0.693568i \(-0.243962\pi\)
−0.240452 + 0.970661i \(0.577296\pi\)
\(752\) −9.54491 2.55755i −0.348067 0.0932642i
\(753\) 4.16486 0.749274i 0.151776 0.0273051i
\(754\) −8.35005 1.73450i −0.304091 0.0631667i
\(755\) 9.94193i 0.361824i
\(756\) 9.36724 10.0625i 0.340683 0.365971i
\(757\) 31.0409 1.12820 0.564100 0.825706i \(-0.309223\pi\)
0.564100 + 0.825706i \(0.309223\pi\)
\(758\) −13.1467 + 22.7708i −0.477510 + 0.827071i
\(759\) 13.1529 18.9235i 0.477419 0.686881i
\(760\) 6.02375 + 1.61406i 0.218504 + 0.0585480i
\(761\) −3.13377 11.6954i −0.113599 0.423958i 0.885579 0.464489i \(-0.153762\pi\)
−0.999178 + 0.0405307i \(0.987095\pi\)
\(762\) 14.1626 + 30.0989i 0.513055 + 1.09037i
\(763\) 11.7575 + 6.39611i 0.425649 + 0.231555i
\(764\) 15.2439 0.551506
\(765\) −20.7607 9.50621i −0.750606 0.343698i
\(766\) −18.4072 + 10.6274i −0.665078 + 0.383983i
\(767\) −30.3102 + 33.9779i −1.09444 + 1.22687i
\(768\) −1.11793 1.32296i −0.0403400 0.0477382i
\(769\) 8.07445 8.07445i 0.291172 0.291172i −0.546371 0.837543i \(-0.683991\pi\)
0.837543 + 0.546371i \(0.183991\pi\)
\(770\) 8.85999 0.224835i 0.319292 0.00810248i
\(771\) −2.55007 + 7.08254i −0.0918384 + 0.255072i
\(772\) −5.43309 20.2766i −0.195541 0.729770i
\(773\) 2.09730 7.82723i 0.0754346 0.281526i −0.917897 0.396819i \(-0.870114\pi\)
0.993332 + 0.115293i \(0.0367807\pi\)