Properties

Label 546.2.bv.a.317.5
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 317.5
Character \(\chi\) \(=\) 546.317
Dual form 546.2.bv.a.515.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 + 0.258819i) q^{2} +(-1.11793 + 1.32296i) q^{3} +(0.866025 - 0.500000i) q^{4} +(1.82490 - 0.488980i) q^{5} +(0.737434 - 1.56722i) q^{6} +(2.57215 + 0.619719i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-0.500449 - 2.95796i) q^{9} +O(q^{10})\) \(q+(-0.965926 + 0.258819i) q^{2} +(-1.11793 + 1.32296i) q^{3} +(0.866025 - 0.500000i) q^{4} +(1.82490 - 0.488980i) q^{5} +(0.737434 - 1.56722i) q^{6} +(2.57215 + 0.619719i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-0.500449 - 2.95796i) q^{9} +(-1.63616 + 0.944637i) q^{10} +(1.71267 + 0.458908i) q^{11} +(-0.306679 + 1.70468i) q^{12} +(1.62200 - 3.22011i) q^{13} +(-2.64490 + 0.0671181i) q^{14} +(-1.39321 + 2.96091i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-2.01432 - 3.48891i) q^{17} +(1.24897 + 2.72765i) q^{18} +(-0.854328 - 3.18839i) q^{19} +(1.33592 - 1.33592i) q^{20} +(-3.69536 + 2.71005i) q^{21} -1.77308 q^{22} +(3.75204 - 6.49873i) q^{23} +(-0.144976 - 1.72597i) 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} +(0.579400 - 3.22061i) q^{30} +(7.49138 + 2.00731i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(-2.52176 + 1.75276i) 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} +(2.44680 + 5.74571i) q^{39} +(-0.944637 + 1.63616i) q^{40} +(1.16845 + 1.16845i) q^{41} +(2.86803 - 3.57413i) q^{42} -1.15824i q^{43} +(1.71267 - 0.458908i) q^{44} +(-2.35965 - 5.15327i) 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} +(6.86757 + 1.23550i) q^{51} +(-0.205365 - 3.59970i) q^{52} +(8.17176 - 4.71797i) q^{53} +(-5.00484 - 1.39699i) q^{54} +3.34984 q^{55} +(-2.25699 + 1.38058i) q^{56} +(5.17320 + 2.43417i) q^{57} +(-0.612191 - 2.28473i) q^{58} +(12.1981 + 3.26848i) q^{59} +(0.273899 + 3.26083i) q^{60} +(-5.96460 + 10.3310i) q^{61} -7.75565 q^{62} +(0.545879 - 7.91846i) q^{63} -1.00000i q^{64} +(1.38541 - 6.66950i) q^{65} +(1.98219 - 2.34572i) 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} +(2.44547 + 1.73773i) q^{72} +(0.439791 - 1.64132i) q^{73} +(6.43751 - 3.71670i) q^{74} +(0.438749 - 2.43880i) q^{75} +(-2.33407 - 2.33407i) q^{76} +(4.12084 + 2.24175i) q^{77} +(-3.85052 - 4.91665i) q^{78} +(-3.34611 + 5.79563i) q^{79} +(0.488980 - 1.82490i) q^{80} +(-8.49910 + 2.96062i) q^{81} +(-1.43105 - 0.826218i) q^{82} +(-4.17139 - 4.17139i) q^{83} +(-1.84525 + 4.19465i) q^{84} +(-5.38194 - 5.38194i) q^{85} +(0.299774 + 1.11877i) q^{86} +(-3.12923 - 2.64427i) 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} +(-11.0305 + 7.66676i) q^{93} +(-4.94081 - 8.55773i) q^{94} +(-3.11812 - 5.40074i) q^{95} +(-0.988539 - 1.42225i) q^{96} +(5.14678 - 5.14678i) q^{97} +(-6.84467 - 1.46646i) q^{98} +(0.500330 - 5.29567i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144q - 16q^{7} + O(q^{10}) \) \( 144q - 16q^{7} + 72q^{16} + 16q^{18} + 8q^{19} + 8q^{21} + 24q^{27} - 8q^{28} - 8q^{31} + 12q^{33} - 8q^{37} + 16q^{39} - 40q^{45} + 8q^{46} + 8q^{52} - 12q^{54} - 32q^{55} + 16q^{57} + 8q^{58} - 32q^{61} - 40q^{63} - 32q^{66} - 8q^{67} + 16q^{72} + 80q^{73} - 16q^{76} + 16q^{78} - 112q^{79} - 48q^{81} + 16q^{84} - 80q^{85} + 96q^{87} - 32q^{91} + 36q^{93} - 64q^{94} - 144q^{97} - 32q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.965926 + 0.258819i −0.683013 + 0.183013i
\(3\) −1.11793 + 1.32296i −0.645439 + 0.763812i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) 1.82490 0.488980i 0.816119 0.218678i 0.173470 0.984839i \(-0.444502\pi\)
0.642649 + 0.766161i \(0.277835\pi\)
\(6\) 0.737434 1.56722i 0.301056 0.639817i
\(7\) 2.57215 + 0.619719i 0.972181 + 0.234232i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) −0.500449 2.95796i −0.166816 0.985988i
\(10\) −1.63616 + 0.944637i −0.517399 + 0.298720i
\(11\) 1.71267 + 0.458908i 0.516388 + 0.138366i 0.507596 0.861595i \(-0.330534\pi\)
0.00879290 + 0.999961i \(0.497201\pi\)
\(12\) −0.306679 + 1.70468i −0.0885305 + 0.492100i
\(13\) 1.62200 3.22011i 0.449861 0.893098i
\(14\) −2.64490 + 0.0671181i −0.706879 + 0.0179381i
\(15\) −1.39321 + 2.96091i −0.359726 + 0.764505i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −2.01432 3.48891i −0.488545 0.846186i 0.511368 0.859362i \(-0.329139\pi\)
−0.999913 + 0.0131764i \(0.995806\pi\)
\(18\) 1.24897 + 2.72765i 0.294386 + 0.642913i
\(19\) −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
\(21\) −3.69536 + 2.71005i −0.806393 + 0.591380i
\(22\) −1.77308 −0.378023
\(23\) 3.75204 6.49873i 0.782355 1.35508i −0.148211 0.988956i \(-0.547352\pi\)
0.930566 0.366123i \(-0.119315\pi\)
\(24\) −0.144976 1.72597i −0.0295931 0.352313i
\(25\) −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 \(0.0704800\pi\)
−0.975587 + 0.219615i \(0.929520\pi\)
\(30\) 0.579400 3.22061i 0.105783 0.588001i
\(31\) 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
\(33\) −2.52176 + 1.75276i −0.438983 + 0.305117i
\(34\) 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
\(39\) 2.44680 + 5.74571i 0.391801 + 0.920050i
\(40\) −0.944637 + 1.63616i −0.149360 + 0.258699i
\(41\) 1.16845 + 1.16845i 0.182481 + 0.182481i 0.792436 0.609955i \(-0.208812\pi\)
−0.609955 + 0.792436i \(0.708812\pi\)
\(42\) 2.86803 3.57413i 0.442546 0.551500i
\(43\) 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
\(45\) −2.35965 5.15327i −0.351756 0.768204i
\(46\) −1.94220 + 7.24839i −0.286362 + 1.06872i
\(47\) 2.55755 + 9.54491i 0.373057 + 1.39227i 0.856163 + 0.516706i \(0.172842\pi\)
−0.483106 + 0.875562i \(0.660491\pi\)
\(48\) 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
\(51\) 6.86757 + 1.23550i 0.961653 + 0.173005i
\(52\) −0.205365 3.59970i −0.0284790 0.499188i
\(53\) 8.17176 4.71797i 1.12248 0.648063i 0.180445 0.983585i \(-0.442246\pi\)
0.942032 + 0.335522i \(0.108913\pi\)
\(54\) −5.00484 1.39699i −0.681073 0.190106i
\(55\) 3.34984 0.451692
\(56\) −2.25699 + 1.38058i −0.301603 + 0.184487i
\(57\) 5.17320 + 2.43417i 0.685207 + 0.322414i
\(58\) −0.612191 2.28473i −0.0803846 0.299999i
\(59\) 12.1981 + 3.26848i 1.58806 + 0.425520i 0.941410 0.337265i \(-0.109502\pi\)
0.646652 + 0.762785i \(0.276169\pi\)
\(60\) 0.273899 + 3.26083i 0.0353602 + 0.420972i
\(61\) −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
\(63\) 0.545879 7.91846i 0.0687742 0.997632i
\(64\) 1.00000i 0.125000i
\(65\) 1.38541 6.66950i 0.171839 0.827250i
\(66\) 1.98219 2.34572i 0.243991 0.288738i
\(67\) −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 0.609424 0.792845i \(-0.291401\pi\)
−0.792845 + 0.609424i \(0.791401\pi\)
\(72\) 2.44547 + 1.73773i 0.288201 + 0.204793i
\(73\) 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
\(75\) 0.438749 2.43880i 0.0506624 0.281609i
\(76\) −2.33407 2.33407i −0.267736 0.267736i
\(77\) 4.12084 + 2.24175i 0.469613 + 0.255471i
\(78\) −3.85052 4.91665i −0.435986 0.556701i
\(79\) −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
\(81\) −8.49910 + 2.96062i −0.944345 + 0.328958i
\(82\) −1.43105 0.826218i −0.158033 0.0912405i
\(83\) −4.17139 4.17139i −0.457869 0.457869i 0.440086 0.897956i \(-0.354948\pi\)
−0.897956 + 0.440086i \(0.854948\pi\)
\(84\) −1.84525 + 4.19465i −0.201333 + 0.457673i
\(85\) −5.38194 5.38194i −0.583754 0.583754i
\(86\) 0.299774 + 1.11877i 0.0323255 + 0.120640i
\(87\) −3.12923 2.64427i −0.335489 0.283496i
\(88\) −1.53553 + 0.886542i −0.163689 + 0.0945056i
\(89\) −0.853770 3.18631i −0.0904994 0.337748i 0.905799 0.423707i \(-0.139271\pi\)
−0.996299 + 0.0859586i \(0.972605\pi\)
\(90\) 3.61301 + 4.36696i 0.380845 + 0.460318i
\(91\) 6.16759 7.27742i 0.646539 0.762881i
\(92\) 7.50409i 0.782355i
\(93\) −11.0305 + 7.66676i −1.14380 + 0.795006i
\(94\) −4.94081 8.55773i −0.509605 0.882662i
\(95\) −3.11812 5.40074i −0.319912 0.554105i
\(96\) −0.988539 1.42225i −0.100892 0.145158i
\(97\) 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
\(99\) 0.500330 5.29567i 0.0502851 0.532234i
\(100\) −0.715324 + 1.23898i −0.0715324 + 0.123898i
\(101\) −1.23524 2.13950i −0.122911 0.212888i 0.798003 0.602653i \(-0.205890\pi\)
−0.920914 + 0.389765i \(0.872556\pi\)
\(102\) −6.95334 + 0.584057i −0.688483 + 0.0578303i
\(103\) 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
\(105\) −5.41849 + 6.75251i −0.528790 + 0.658978i
\(106\) −6.67222 + 6.67222i −0.648063 + 0.648063i
\(107\) −13.5598 7.82877i −1.31088 0.756836i −0.328636 0.944457i \(-0.606589\pi\)
−0.982242 + 0.187621i \(0.939922\pi\)
\(108\) 5.19587 + 0.0540370i 0.499973 + 0.00519971i
\(109\) 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
\(111\) 5.48163 11.6498i 0.520294 1.10575i
\(112\) 1.82277 1.91769i 0.172235 0.181204i
\(113\) 10.8278i 1.01859i 0.860592 + 0.509296i \(0.170094\pi\)
−0.860592 + 0.509296i \(0.829906\pi\)
\(114\) −5.62694 1.01231i −0.527011 0.0948111i
\(115\) 3.66935 13.6942i 0.342168 1.27699i
\(116\) 1.18266 + 2.04843i 0.109807 + 0.190192i
\(117\) −10.3367 3.18631i −0.955629 0.294574i
\(118\) −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
\(123\) −2.85206 + 0.239563i −0.257162 + 0.0216007i
\(124\) 7.49138 2.00731i 0.672746 0.180262i
\(125\) −8.59082 + 8.59082i −0.768386 + 0.768386i
\(126\) 1.52217 + 7.78993i 0.135606 + 0.693982i
\(127\) 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
\(129\) 1.53231 + 1.29483i 0.134912 + 0.114004i
\(130\) 0.387990 + 6.80081i 0.0340290 + 0.596471i
\(131\) 3.71710 + 2.14607i 0.324764 + 0.187503i 0.653514 0.756914i \(-0.273294\pi\)
−0.328750 + 0.944417i \(0.606627\pi\)
\(132\) −1.30753 + 2.77882i −0.113806 + 0.241865i
\(133\) −0.221548 8.73047i −0.0192106 0.757027i
\(134\) 11.0020 0.950428
\(135\) 9.45551 + 2.63929i 0.813801 + 0.227154i
\(136\) 3.89138 + 1.04269i 0.333683 + 0.0894100i
\(137\) −6.46244 1.73161i −0.552124 0.147941i −0.0280384 0.999607i \(-0.508926\pi\)
−0.524085 + 0.851666i \(0.675593\pi\)
\(138\) −7.41808 10.6727i −0.631469 0.908518i
\(139\) 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
\(141\) −15.4867 7.28703i −1.30422 0.613679i
\(142\) 1.89288 + 1.09285i 0.158847 + 0.0917103i
\(143\) 4.25568 4.77063i 0.355877 0.398940i
\(144\) −2.81190 1.04558i −0.234325 0.0871317i
\(145\) 1.15660 + 4.31647i 0.0960500 + 0.358464i
\(146\) 1.69922i 0.140629i
\(147\) −11.1845 + 4.68056i −0.922480 + 0.386046i
\(148\) −5.25620 + 5.25620i −0.432057 + 0.432057i
\(149\) −1.67431 + 0.448629i −0.137165 + 0.0367531i −0.326748 0.945111i \(-0.605953\pi\)
0.189584 + 0.981865i \(0.439286\pi\)
\(150\) 0.207409 + 2.46926i 0.0169349 + 0.201614i
\(151\) −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
\(156\) 4.99184 + 3.75253i 0.399667 + 0.300443i
\(157\) −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
\(159\) −2.89380 + 16.0853i −0.229493 + 1.27565i
\(160\) 1.88927i 0.149360i
\(161\) 13.6782 14.3905i 1.07799 1.13413i
\(162\) 7.44324 5.05947i 0.584796 0.397509i
\(163\) −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
\(165\) −3.74490 + 4.43170i −0.291540 + 0.345008i
\(166\) 5.10889 + 2.94962i 0.396527 + 0.228935i
\(167\) 7.54305 7.54305i 0.583698 0.583698i −0.352219 0.935918i \(-0.614573\pi\)
0.935918 + 0.352219i \(0.114573\pi\)
\(168\) 0.696719 4.52930i 0.0537531 0.349443i
\(169\) −7.73825 10.4460i −0.595250 0.803541i
\(170\) 6.59151 + 3.80561i 0.505546 + 0.291877i
\(171\) −9.00361 + 4.12270i −0.688523 + 0.315271i
\(172\) −0.579120 1.00306i −0.0441575 0.0764830i
\(173\) −7.40149 + 12.8198i −0.562725 + 0.974668i 0.434533 + 0.900656i \(0.356914\pi\)
−0.997257 + 0.0740116i \(0.976420\pi\)
\(174\) 3.70699 + 1.74427i 0.281026 + 0.132233i
\(175\) −3.63013 + 1.07210i −0.274412 + 0.0810432i
\(176\) 1.25376 1.25376i 0.0945056 0.0945056i
\(177\) −17.9608 + 12.4837i −1.35001 + 0.938333i
\(178\) 1.64936 + 2.85677i 0.123624 + 0.214124i
\(179\) 9.29037 + 16.0914i 0.694395 + 1.20273i 0.970384 + 0.241567i \(0.0776612\pi\)
−0.275989 + 0.961161i \(0.589005\pi\)
\(180\) −4.62016 3.28304i −0.344366 0.244703i
\(181\) 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
\(186\) 8.67030 10.2604i 0.635737 0.752330i
\(187\) −1.84878 6.89973i −0.135196 0.504558i
\(188\) 6.98736 + 6.98736i 0.509605 + 0.509605i
\(189\) 9.86555 + 9.57449i 0.717613 + 0.696442i
\(190\) 4.40969 + 4.40969i 0.319912 + 0.319912i
\(191\) −13.2016 7.62196i −0.955236 0.551506i −0.0605325 0.998166i \(-0.519280\pi\)
−0.894704 + 0.446660i \(0.852613\pi\)
\(192\) 1.32296 + 1.11793i 0.0954764 + 0.0806799i
\(193\) 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
\(195\) 7.27469 + 9.28890i 0.520951 + 0.665192i
\(196\) 6.99099 0.355041i 0.499356 0.0253601i
\(197\) −7.65448 7.65448i −0.545359 0.545359i 0.379736 0.925095i \(-0.376015\pi\)
−0.925095 + 0.379736i \(0.876015\pi\)
\(198\) 0.887338 + 5.24472i 0.0630603 + 0.372726i
\(199\) 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
\(201\) 15.6476 10.8759i 1.10369 0.767127i
\(202\) 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
\(207\) −21.1007 7.84613i −1.46660 0.545343i
\(208\) −1.97770 3.01475i −0.137129 0.209035i
\(209\) 5.85271i 0.404841i
\(210\) 3.48618 7.92483i 0.240569 0.546865i
\(211\) 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
\(213\) 3.77247 0.316875i 0.258486 0.0217119i
\(214\) 15.1240 + 4.05247i 1.03386 + 0.277021i
\(215\) −0.566356 2.11367i −0.0386251 0.144151i
\(216\) −5.03281 + 1.29259i −0.342439 + 0.0879499i
\(217\) 18.0250 + 9.80565i 1.22361 + 0.665651i
\(218\) −5.05892 −0.342633
\(219\) 1.67975 + 2.41671i 0.113507 + 0.163306i
\(220\) 2.90104 1.67492i 0.195588 0.112923i
\(221\) −14.5019 + 0.827343i −0.975505 + 0.0556531i
\(222\) −2.27966 + 12.6716i −0.153001 + 0.850461i
\(223\) 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 \(0.183100\pi\)
−0.998668 + 0.0516026i \(0.983567\pi\)
\(228\) 5.69721 0.478546i 0.377307 0.0316925i
\(229\) 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
\(231\) −7.57257 + 2.94558i −0.498239 + 0.193805i
\(232\) −1.67254 1.67254i −0.109807 0.109807i
\(233\) −11.6047 + 20.0999i −0.760248 + 1.31679i 0.182475 + 0.983210i \(0.441589\pi\)
−0.942723 + 0.333577i \(0.891744\pi\)
\(234\) 10.8092 + 0.402402i 0.706617 + 0.0263059i
\(235\) 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 0.857706 0.514140i \(-0.171889\pi\)
−0.514140 + 0.857706i \(0.671889\pi\)
\(240\) 1.86762 + 2.68702i 0.120554 + 0.173446i
\(241\) 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
\(243\) 5.58465 14.5538i 0.358255 0.933624i
\(244\) 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
\(249\) 10.1819 0.855247i 0.645253 0.0541991i
\(250\) 6.07462 10.5216i 0.384193 0.665442i
\(251\) −2.44319 −0.154213 −0.0771063 0.997023i \(-0.524568\pi\)
−0.0771063 + 0.997023i \(0.524568\pi\)
\(252\) −3.48649 7.13053i −0.219628 0.449181i
\(253\) 9.40832 9.40832i 0.591496 0.591496i
\(254\) −4.97067 18.5508i −0.311888 1.16398i
\(255\) 13.1368 1.10344i 0.822656 0.0691003i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 2.17304 3.76382i 0.135551 0.234780i −0.790257 0.612775i \(-0.790053\pi\)
0.925808 + 0.377995i \(0.123386\pi\)
\(258\) −1.81522 0.854125i −0.113011 0.0531755i
\(259\) −19.6606 + 0.498915i −1.22165 + 0.0310011i
\(260\) −2.13495 6.46866i −0.132404 0.401169i
\(261\) 6.99654 1.18372i 0.433075 0.0732707i
\(262\) −4.14588 1.11089i −0.256134 0.0686308i
\(263\) 9.85510 5.68984i 0.607691 0.350851i −0.164370 0.986399i \(-0.552559\pi\)
0.772061 + 0.635548i \(0.219226\pi\)
\(264\) 0.543767 3.02255i 0.0334665 0.186025i
\(265\) 12.6056 12.6056i 0.774358 0.774358i
\(266\) 2.47361 + 8.37564i 0.151667 + 0.513544i
\(267\) 5.16982 + 2.43258i 0.316388 + 0.148872i
\(268\) −10.6271 + 2.84753i −0.649154 + 0.173940i
\(269\) −18.3630 + 10.6019i −1.11961 + 0.646408i −0.941302 0.337566i \(-0.890396\pi\)
−0.178310 + 0.983974i \(0.557063\pi\)
\(270\) −9.81642 0.102091i −0.597408 0.00621304i
\(271\) −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
\(273\) 2.73279 + 16.2951i 0.165396 + 0.986227i
\(274\) 6.69041 0.404183
\(275\) −2.45022 + 0.656535i −0.147754 + 0.0395905i
\(276\) 9.92761 + 8.38907i 0.597572 + 0.504963i
\(277\) −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
\(279\) 2.18849 23.1638i 0.131022 1.38678i
\(280\) −3.44370 + 3.62303i −0.205801 + 0.216518i
\(281\) 8.00943 8.00943i 0.477803 0.477803i −0.426626 0.904428i \(-0.640298\pi\)
0.904428 + 0.426626i \(0.140298\pi\)
\(282\) 16.8450 + 3.03048i 1.00311 + 0.180462i
\(283\) 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
\(285\) 10.6308 + 1.91252i 0.629716 + 0.113288i
\(286\) −2.87594 + 5.70953i −0.170058 + 0.337611i
\(287\) 2.28131 + 3.72954i 0.134662 + 0.220148i
\(288\) 2.98670 + 0.282181i 0.175993 + 0.0166277i
\(289\) 0.384992 0.666826i 0.0226466 0.0392251i
\(290\) −2.23437 3.87004i −0.131207 0.227257i
\(291\) 1.05523 + 12.5627i 0.0618586 + 0.736441i
\(292\) −0.439791 1.64132i −0.0257368 0.0960511i
\(293\) −19.4879 + 19.4879i −1.13850 + 1.13850i −0.149775 + 0.988720i \(0.547855\pi\)
−0.988720 + 0.149775i \(0.952145\pi\)
\(294\) 9.59195 7.41582i 0.559414 0.432500i
\(295\) 23.8586 1.38910
\(296\) 3.71670 6.43751i 0.216029 0.374173i
\(297\) 6.44662 + 6.58212i 0.374071 + 0.381933i
\(298\) 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
\(303\) 4.21139 + 0.757644i 0.241938 + 0.0435255i
\(304\) −3.18839 0.854328i −0.182867 0.0489990i
\(305\) −5.83314 + 21.7696i −0.334004 + 1.24652i
\(306\) 7.00069 9.85193i 0.400203 0.563197i
\(307\) 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 0.902937 0.429774i \(-0.141407\pi\)
−0.823663 + 0.567079i \(0.808073\pi\)
\(312\) −5.79298 2.33269i −0.327963 0.132062i
\(313\) 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
\(315\) −2.87580 14.7173i −0.162033 0.829226i
\(316\) 6.69222i 0.376467i
\(317\) 6.73660 1.80507i 0.378365 0.101383i −0.0646238 0.997910i \(-0.520585\pi\)
0.442989 + 0.896527i \(0.353918\pi\)
\(318\) −1.36798 16.2862i −0.0767127 0.913283i
\(319\) −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
\(324\) −5.88013 + 6.81352i −0.326674 + 0.378529i
\(325\) 0.293805 + 5.14990i 0.0162974 + 0.285665i
\(326\) 14.7128 8.49443i 0.814865 0.470463i
\(327\) −7.19504 + 5.00094i −0.397886 + 0.276552i
\(328\) −1.65244 −0.0912405
\(329\) 0.663235 + 26.1359i 0.0365653 + 1.44092i
\(330\) 2.47028 5.24995i 0.135985 0.289000i
\(331\) 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
\(333\) 9.28412 + 20.2757i 0.508766 + 1.11110i
\(334\) −5.33374 + 9.23831i −0.291849 + 0.505498i
\(335\) −20.7858 −1.13565
\(336\) 0.499291 + 4.55529i 0.0272385 + 0.248512i
\(337\) 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
\(339\) −14.3247 12.1047i −0.778012 0.657439i
\(340\) −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
\(345\) 14.0148 + 20.1636i 0.754531 + 1.08557i
\(346\) 3.83129 14.2986i 0.205972 0.768696i
\(347\) −18.9998 + 10.9696i −1.01997 + 0.588877i −0.914094 0.405503i \(-0.867096\pi\)
−0.105871 + 0.994380i \(0.533763\pi\)
\(348\) −4.03213 0.725394i −0.216145 0.0388852i
\(349\) −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
\(351\) 15.7711 10.1130i 0.841800 0.539790i
\(352\) −0.886542 + 1.53553i −0.0472528 + 0.0818443i
\(353\) 5.94830 22.1994i 0.316596 1.18155i −0.605898 0.795542i \(-0.707186\pi\)
0.922494 0.386011i \(-0.126147\pi\)
\(354\) 14.1178 16.7069i 0.750350 0.887963i
\(355\) −3.57617 2.06470i −0.189803 0.109583i
\(356\) −2.33254 2.33254i −0.123624 0.123624i
\(357\) 16.8988 + 7.43386i 0.894377 + 0.393442i
\(358\) −13.1386 13.1386i −0.694395 0.694395i
\(359\) −5.49845 20.5205i −0.290197 1.08303i −0.944957 0.327193i \(-0.893897\pi\)
0.654761 0.755836i \(-0.272769\pi\)
\(360\) 5.31244 + 1.97539i 0.279990 + 0.104112i
\(361\) 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
\(366\) 11.7925 + 16.9663i 0.616403 + 0.886842i
\(367\) 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
\(369\) 2.87148 4.04098i 0.149483 0.210365i
\(370\) 9.93040 9.93040i 0.516257 0.516257i
\(371\) 23.9428 7.07112i 1.24305 0.367114i
\(372\) −5.71927 + 12.1548i −0.296531 + 0.630199i
\(373\) 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
\(375\) −1.76135 20.9693i −0.0909556 1.08285i
\(376\) −8.55773 4.94081i −0.441331 0.254803i
\(377\) 7.61661 + 3.83655i 0.392275 + 0.197592i
\(378\) −12.0075 6.69485i −0.617597 0.344346i
\(379\) −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
\(381\) −25.4077 21.4701i −1.30168 1.09995i
\(382\) 14.7245 + 3.94542i 0.753371 + 0.201865i
\(383\) 20.5305 5.50114i 1.04906 0.281095i 0.307197 0.951646i \(-0.400609\pi\)
0.741864 + 0.670551i \(0.233942\pi\)
\(384\) −1.56722 0.737434i −0.0799771 0.0376320i
\(385\) 8.61628 + 2.07596i 0.439126 + 0.105801i
\(386\) 20.9919i 1.06846i
\(387\) −3.42603 + 0.579640i −0.174155 + 0.0294647i
\(388\) 1.88385 7.03063i 0.0956381 0.356926i
\(389\) −6.58614 11.4075i −0.333931 0.578385i 0.649348 0.760491i \(-0.275042\pi\)
−0.983279 + 0.182106i \(0.941708\pi\)
\(390\) −9.43095 7.08956i −0.477555 0.358994i
\(391\) −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
\(396\) −2.21453 4.83635i −0.111285 0.243036i
\(397\) −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
\(399\) 11.7977 + 9.46698i 0.590626 + 0.473942i
\(400\) 1.43065i 0.0715324i
\(401\) −2.69059 10.0414i −0.134362 0.501444i −1.00000 0.000774026i \(-0.999754\pi\)
0.865638 0.500670i \(-0.166913\pi\)
\(402\) −12.2995 + 14.5552i −0.613443 + 0.725948i
\(403\) 18.6148 20.8672i 0.927267 1.03947i
\(404\) −2.13950 1.23524i −0.106444 0.0614555i
\(405\) −14.0623 + 9.55872i −0.698762 + 0.474977i
\(406\) −0.158756 6.25604i −0.00787892 0.310482i
\(407\) −13.1800 −0.653310
\(408\) −5.72974 + 3.98248i −0.283664 + 0.197162i
\(409\) −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
\(411\) 9.51543 6.61374i 0.469362 0.326232i
\(412\) 3.04976 0.150251
\(413\) 29.3499 + 15.9664i 1.44421 + 0.785657i
\(414\) 22.4125 + 2.11751i 1.10151 + 0.104070i
\(415\) −9.65208 5.57263i −0.473802 0.273550i
\(416\) 2.69059 + 2.40016i 0.131917 + 0.117677i
\(417\) −14.4792 + 17.1346i −0.709047 + 0.839085i
\(418\) 1.51479 + 5.65329i 0.0740910 + 0.276511i
\(419\) 36.6360i 1.78979i 0.446281 + 0.894893i \(0.352748\pi\)
−0.446281 + 0.894893i \(0.647252\pi\)
\(420\) −1.31629 + 8.55709i −0.0642285 + 0.417543i
\(421\) −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
\(423\) 26.9536 12.3419i 1.31053 0.600083i
\(424\) −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
\(429\) 1.55379 + 10.9633i 0.0750179 + 0.529315i
\(430\) 1.09412 + 1.89506i 0.0527629 + 0.0913881i
\(431\) −3.40340 + 12.7016i −0.163936 + 0.611817i 0.834238 + 0.551405i \(0.185908\pi\)
−0.998174 + 0.0604118i \(0.980759\pi\)
\(432\) 4.52678 2.55114i 0.217795 0.122742i
\(433\) 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
\(435\) −7.00352 3.29540i −0.335793 0.158002i
\(436\) 4.88654 1.30934i 0.234023 0.0627062i
\(437\) −23.9260 6.41095i −1.14453 0.306677i
\(438\) −2.24800 1.89962i −0.107414 0.0907672i
\(439\) 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
\(441\) 6.31130 20.0292i 0.300538 0.953770i
\(442\) 13.7936 4.55253i 0.656097 0.216542i
\(443\) −21.6793 12.5166i −1.03002 0.594680i −0.113026 0.993592i \(-0.536054\pi\)
−0.916989 + 0.398912i \(0.869388\pi\)
\(444\) −1.07766 12.8298i −0.0511436 0.608877i
\(445\) −3.11608 5.39722i −0.147717 0.255853i
\(446\) −5.83216 + 10.1016i −0.276161 + 0.478324i
\(447\) 1.27825 2.71658i 0.0604589 0.128490i
\(448\) 0.619719 2.57215i 0.0292790 0.121523i
\(449\) −23.3615 + 23.3615i −1.10250 + 1.10250i −0.108386 + 0.994109i \(0.534568\pi\)
−0.994109 + 0.108386i \(0.965432\pi\)
\(450\) −3.49860 2.48607i −0.164926 0.117195i
\(451\) 1.46495 + 2.53737i 0.0689820 + 0.119480i
\(452\) 5.41389 + 9.37713i 0.254648 + 0.441063i
\(453\) −5.20200 7.48431i −0.244411 0.351643i
\(454\) 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
\(459\) 0.217696 20.9323i 0.0101612 0.977038i
\(460\) −3.66935 13.6942i −0.171084 0.638495i
\(461\) −20.4542 20.4542i −0.952648 0.952648i 0.0462800 0.998929i \(-0.485263\pi\)
−0.998929 + 0.0462800i \(0.985263\pi\)
\(462\) 6.55217 4.80514i 0.304835 0.223555i
\(463\) 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
\(465\) −16.3806 + 19.3847i −0.759630 + 0.898945i
\(466\) 6.00702 22.4185i 0.278270 1.03852i
\(467\) 7.70434 13.3443i 0.356514 0.617501i −0.630861 0.775895i \(-0.717298\pi\)
0.987376 + 0.158394i \(0.0506317\pi\)
\(468\) −10.5450 + 2.40893i −0.487443 + 0.111353i
\(469\) −25.5698 13.9101i −1.18071 0.642308i
\(470\) −13.2010 13.2010i −0.608918 0.608918i
\(471\) 31.2638 + 5.62446i 1.44056 + 0.259162i
\(472\) −10.9365 + 6.31422i −0.503395 + 0.290636i
\(473\) 0.531525 1.98368i 0.0244395 0.0912096i
\(474\) 6.61552 + 9.51800i 0.303861 + 0.437176i
\(475\) 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 0.493497 0.869747i \(-0.335718\pi\)
−0.00749277 + 0.999972i \(0.502385\pi\)
\(480\) −2.49943 2.11208i −0.114083 0.0964029i
\(481\) −5.45093 + 26.2413i −0.248541 + 1.19650i
\(482\) 20.9978i 0.956422i
\(483\) 3.74672 + 34.1833i 0.170482 + 1.55540i
\(484\) −7.85618 −0.357099
\(485\) 6.87568 11.9090i 0.312208 0.540761i
\(486\) −1.62757 + 15.5033i −0.0738280 + 0.703242i
\(487\) −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
\(489\) 12.5282 26.6253i 0.566543 1.20404i
\(490\) −13.2079 + 0.670770i −0.596672 + 0.0303023i
\(491\) −17.6204 −0.795198 −0.397599 0.917559i \(-0.630156\pi\)
−0.397599 + 0.917559i \(0.630156\pi\)
\(492\) −2.35018 + 1.63350i −0.105954 + 0.0736438i
\(493\) 8.25241 4.76453i 0.371670 0.214584i
\(494\) 11.8821 0.677883i 0.534602 0.0304994i
\(495\) −1.67642 9.90870i −0.0753496 0.445363i
\(496\) 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
\(501\) 1.54653 + 18.4118i 0.0690937 + 0.822577i
\(502\) 2.35994 0.632344i 0.105329 0.0282229i
\(503\) 38.6506i 1.72334i −0.507466 0.861671i \(-0.669418\pi\)
0.507466 0.861671i \(-0.330582\pi\)
\(504\) 5.21320 + 5.98519i 0.232215 + 0.266602i
\(505\) −3.30036 3.30036i −0.146864 0.146864i
\(506\) −6.65268 + 11.5228i −0.295748 + 0.512250i
\(507\) 22.4705 + 1.44057i 0.997951 + 0.0639781i
\(508\) 9.60260 + 16.6322i 0.426047 + 0.737934i
\(509\) 1.77675 0.476080i 0.0787532 0.0211019i −0.219227 0.975674i \(-0.570354\pi\)
0.297981 + 0.954572i \(0.403687\pi\)
\(510\) −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
\(513\) 4.61127 16.5203i 0.203592 0.729390i
\(514\) −1.12485 + 4.19799i −0.0496149 + 0.185166i
\(515\) 5.56550 + 1.49127i 0.245245 + 0.0657133i
\(516\) 1.97443 + 0.355207i 0.0869196 + 0.0156371i
\(517\) 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 −0.224865 0.974390i \(-0.572194\pi\)
0.731414 + 0.681934i \(0.238861\pi\)
\(522\) −6.45177 + 2.95423i −0.282386 + 0.129303i
\(523\) −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
\(525\) 2.63990 6.00106i 0.115215 0.261908i
\(526\) −8.04665 + 8.04665i −0.350851 + 0.350851i
\(527\) −8.08674 30.1801i −0.352264 1.31467i
\(528\) 0.257054 + 3.06029i 0.0111869 + 0.133182i
\(529\) −16.6557 28.8484i −0.724159 1.25428i
\(530\) −8.91353 + 15.4387i −0.387179 + 0.670614i
\(531\) 3.56350 37.7174i 0.154643 1.63679i
\(532\) −4.55710 7.45003i −0.197575 0.323000i
\(533\) 5.65776 1.86732i 0.245065 0.0808824i
\(534\) −5.62326 1.01164i −0.243342 0.0437781i
\(535\) −28.5734 7.65622i −1.23534 0.331007i
\(536\) 9.52801 5.50100i 0.411547 0.237607i
\(537\) −31.6743 5.69832i −1.36685 0.245901i
\(538\) 14.9933 14.9933i 0.646408 0.646408i
\(539\) 9.21015 + 8.31988i 0.396709 + 0.358363i
\(540\) 9.50836 2.44206i 0.409175 0.105090i
\(541\) 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
\(543\) −25.4732 21.5255i −1.09316 0.923746i
\(544\) 3.89138 1.04269i 0.166841 0.0447050i
\(545\) 9.55767 0.409406
\(546\) −6.85717 15.0326i −0.293460 0.643336i
\(547\) −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
\(549\) 33.5437 + 12.4729i 1.43161 + 0.532332i
\(550\) 2.19681 1.26833i 0.0936722 0.0540817i
\(551\) 7.54158 2.02076i 0.321282 0.0860873i
\(552\) −11.7606 5.53377i −0.500564 0.235533i
\(553\) −12.1984 + 12.8336i −0.518727 + 0.545739i
\(554\) 14.5633 14.5633i 0.618735 0.618735i
\(555\) 4.30691 23.9401i 0.182818 1.01620i
\(556\) 11.2165 6.47585i 0.475686 0.274637i
\(557\) 6.35250 + 1.70215i 0.269164 + 0.0721223i 0.390877 0.920443i \(-0.372172\pi\)
−0.121713 + 0.992565i \(0.538839\pi\)
\(558\) 3.88130 + 22.9409i 0.164309 + 0.971167i
\(559\) −3.72966 1.87866i −0.157748 0.0794589i
\(560\) 2.38865 4.39088i 0.100939 0.185548i
\(561\) 11.1949 + 5.26758i 0.472648 + 0.222398i
\(562\) −5.66353 + 9.80951i −0.238901 + 0.413789i
\(563\) 22.8101 + 39.5083i 0.961332 + 1.66508i 0.719163 + 0.694842i \(0.244526\pi\)
0.242169 + 0.970234i \(0.422141\pi\)
\(564\) −17.0554 + 1.43260i −0.718162 + 0.0603232i
\(565\) 5.29456 + 19.7596i 0.222744 + 0.831292i
\(566\) −1.61288 + 1.61288i −0.0677945 + 0.0677945i
\(567\) −23.6957 + 2.34810i −0.995126 + 0.0986108i
\(568\) 2.18571 0.0917103
\(569\) −5.55993 + 9.63007i −0.233084 + 0.403714i −0.958714 0.284371i \(-0.908215\pi\)
0.725630 + 0.688085i \(0.241548\pi\)
\(570\) −10.7636 + 0.904105i −0.450837 + 0.0378688i
\(571\) −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
\(576\) −2.95796 + 0.500449i −0.123248 + 0.0208520i
\(577\) −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
\(579\) 20.7513 + 29.8556i 0.862393 + 1.24076i
\(580\) 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
\(585\) −20.4215 0.760248i −0.844324 0.0314324i
\(586\) 13.7800 23.8677i 0.569248 0.985966i
\(587\) −17.5046 17.5046i −0.722490 0.722490i 0.246621 0.969112i \(-0.420680\pi\)
−0.969112 + 0.246621i \(0.920680\pi\)
\(588\) −7.34576 + 9.64572i −0.302934 + 0.397783i
\(589\) 25.6004i 1.05484i
\(590\) −23.0456 + 6.17505i −0.948773 + 0.254223i
\(591\) 18.6838 1.56937i 0.768548 0.0645554i
\(592\) −1.92390 + 7.18011i −0.0790720 + 0.295101i
\(593\) −1.20868 4.51085i −0.0496345 0.185238i 0.936658 0.350246i \(-0.113902\pi\)
−0.986292 + 0.165007i \(0.947235\pi\)
\(594\) −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
\(597\) −3.57648 + 19.8800i −0.146376 + 0.813635i
\(598\) 20.1904 + 18.0110i 0.825646 + 0.736524i
\(599\) 30.3818 17.5409i 1.24137 0.716703i 0.271994 0.962299i \(-0.412317\pi\)
0.969372 + 0.245596i \(0.0789835\pi\)
\(600\) 1.41425 + 2.03474i 0.0577366 + 0.0830677i
\(601\) −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
\(603\) −3.10455 + 32.8597i −0.126427 + 1.33815i
\(604\) 1.36199 + 5.08300i 0.0554184 + 0.206824i
\(605\) −14.3367 3.84151i −0.582870 0.156180i
\(606\) −4.26398 + 0.358160i −0.173212 + 0.0145493i
\(607\) −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
\(609\) −6.41014 8.74071i −0.259752 0.354192i
\(610\) 22.5375i 0.912517i
\(611\) 34.8840 + 7.24622i 1.41126 + 0.293151i
\(612\) −4.21228 + 11.3281i −0.170271 + 0.457913i
\(613\) 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 0.945410 0.325883i \(-0.105661\pi\)
−0.325883 + 0.945410i \(0.605661\pi\)
\(618\) 4.33752 3.01481i 0.174481 0.121273i
\(619\) −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
\(621\) 33.9693 19.1440i 1.36314 0.768221i
\(622\) −1.97707 1.97707i −0.0792733 0.0792733i
\(623\) −0.221403 8.72476i −0.00887033 0.349550i
\(624\) 6.19933 + 0.753868i 0.248172 + 0.0301789i
\(625\) −7.90001 + 13.6832i −0.316000 + 0.547328i
\(626\) −2.33677 + 8.72095i −0.0933961 + 0.348559i
\(627\) 7.74291 + 6.54294i 0.309222 + 0.261300i
\(628\) −15.8828 9.16996i −0.633794 0.365921i
\(629\) 21.1754 + 21.1754i 0.844318 + 0.844318i
\(630\) 6.58692 + 13.4715i 0.262429 + 0.536718i
\(631\) −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
\(633\) −10.5742 + 12.5134i −0.420285 + 0.497365i
\(634\) −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
\(639\) −3.79816 + 5.34508i −0.150253 + 0.211448i
\(640\) 0.944637 + 1.63616i 0.0373400 + 0.0646748i
\(641\) 20.8196 + 36.0606i 0.822326 + 1.42431i 0.903946 + 0.427646i \(0.140657\pi\)
−0.0816205 + 0.996663i \(0.526010\pi\)
\(642\) −22.2689 + 15.4781i −0.878884 + 0.610872i
\(643\) 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
\(645\) 3.42945 + 1.61367i 0.135034 + 0.0635384i
\(646\) 6.64902 11.5164i 0.261602 0.453108i
\(647\) −12.5131 21.6734i −0.491941 0.852068i 0.508015 0.861348i \(-0.330379\pi\)
−0.999957 + 0.00928034i \(0.997046\pi\)
\(648\) 3.91630 8.10325i 0.153847 0.318326i
\(649\) 19.3914 + 11.1956i 0.761179 + 0.439467i
\(650\) −1.61669 4.89838i −0.0634116 0.192130i
\(651\) −33.1232 + 12.8843i −1.29820 + 0.504974i
\(652\) −12.0129 + 12.0129i −0.470463 + 0.470463i
\(653\) 6.96251 + 4.01981i 0.272464 + 0.157307i 0.630007 0.776590i \(-0.283052\pi\)
−0.357543 + 0.933897i \(0.616385\pi\)
\(654\) 5.65553 6.69275i 0.221149 0.261707i
\(655\) 7.83271 + 2.09877i 0.306049 + 0.0820056i
\(656\) 1.59613 0.427682i 0.0623185 0.0166982i
\(657\) −5.07506 0.479488i −0.197997 0.0187066i
\(658\) −7.40510 25.0737i −0.288681 0.977473i
\(659\) 9.01704i 0.351254i −0.984457 0.175627i \(-0.943805\pi\)
0.984457 0.175627i \(-0.0561953\pi\)
\(660\) −1.02732 + 5.71042i −0.0399885 + 0.222278i
\(661\) −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
\(663\) 15.1176 20.1104i 0.587121 0.781023i
\(664\) 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
\(669\) 1.69104 + 20.1323i 0.0653796 + 0.778359i
\(670\) 20.0775 5.37975i 0.775662 0.207838i
\(671\) −14.9563 + 14.9563i −0.577383 + 0.577383i
\(672\) −1.66127 4.27085i −0.0640851 0.164752i
\(673\) 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
\(675\) −7.43346 0.0773078i −0.286114 0.00297558i
\(676\) −11.9245 5.17740i −0.458636 0.199131i
\(677\) 35.2952 + 20.3777i 1.35650 + 0.783178i 0.989151 0.146903i \(-0.0469304\pi\)
0.367354 + 0.930081i \(0.380264\pi\)
\(678\) 16.9696 + 7.98476i 0.651712 + 0.306653i
\(679\) 16.4278 10.0487i 0.630443 0.385635i
\(680\) 7.61122 0.291877
\(681\) −9.18410 13.2135i −0.351935 0.506343i
\(682\) −13.2828 3.55913i −0.508626 0.136286i
\(683\) −32.6006 8.73532i −1.24743 0.334248i −0.426086 0.904683i \(-0.640108\pi\)
−0.821343 + 0.570435i \(0.806775\pi\)
\(684\) −5.73600 + 8.07216i −0.219322 + 0.308647i
\(685\) −12.6400 −0.482950
\(686\) −16.6967 8.01372i −0.637483 0.305965i
\(687\) −14.7580 + 31.3642i −0.563052 + 1.19662i
\(688\) −1.00306 0.579120i −0.0382415 0.0220787i
\(689\) −1.93781 33.9665i −0.0738247 1.29402i
\(690\) −18.7560 15.8492i −0.714027 0.603370i
\(691\) 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
\(693\) 4.56875 13.3112i 0.173552 0.505650i
\(694\) 15.5133 15.5133i 0.588877 0.588877i
\(695\) 23.6355 6.33312i 0.896547 0.240229i
\(696\) 4.08248 0.342915i 0.154746 0.0129982i
\(697\) 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 \(-0.457299\pi\)
0.133746 + 0.991016i \(0.457299\pi\)
\(702\) −12.6163 + 13.8502i −0.476171 + 0.522744i
\(703\) 12.2683 + 21.2494i 0.462709 + 0.801435i
\(704\) 0.458908 1.71267i 0.0172957 0.0645486i
\(705\) −31.8249 5.72540i −1.19859 0.215631i
\(706\) 22.9825i 0.864957i
\(707\) −1.85133 6.26861i −0.0696265 0.235755i
\(708\) −9.31263 + 19.7916i −0.349990 + 0.743814i
\(709\) 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
\(711\) 18.8178 + 6.99725i 0.705724 + 0.262418i
\(712\) 2.85677 + 1.64936i 0.107062 + 0.0618122i
\(713\) 41.1529 41.1529i 1.54119 1.54119i
\(714\) −18.2470 2.80684i −0.682876 0.105043i
\(715\) 5.43343 10.7869i 0.203199 0.403405i
\(716\) 16.0914 + 9.29037i 0.601364 + 0.347197i
\(717\) −12.9646 + 1.08898i −0.484172 + 0.0406688i
\(718\) 10.6222 + 18.3982i 0.396416 + 0.686613i
\(719\) −8.08257 + 13.9994i −0.301429 + 0.522090i −0.976460 0.215699i \(-0.930797\pi\)
0.675031 + 0.737789i \(0.264130\pi\)
\(720\) −5.64269 0.533117i −0.210291 0.0198681i
\(721\) 5.84848 + 5.55900i 0.217809 + 0.207028i
\(722\) −5.73058 + 5.73058i −0.213270 + 0.213270i
\(723\) 20.7571 + 29.8640i 0.771965 + 1.11066i
\(724\) 9.62735 + 16.6751i 0.357798 + 0.619724i
\(725\) −1.69197 2.93058i −0.0628383 0.108839i
\(726\) −11.1734 + 7.76614i −0.414685 + 0.288228i
\(727\) 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
\(732\) −15.7819 13.3361i −0.583314 0.492915i
\(733\) −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
\(735\) −18.1218 + 14.0105i −0.668433 + 0.516786i
\(736\) 5.30619 + 5.30619i 0.195589 + 0.195589i
\(737\) −16.8939 9.75373i −0.622297 0.359283i
\(738\) −1.72776 + 4.64648i −0.0635996 + 0.171039i
\(739\) 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
\(741\) 16.2292 12.7101i 0.596195 0.466916i
\(742\) −21.2968 + 13.0270i −0.781831 + 0.478237i
\(743\) 22.9626 + 22.9626i 0.842414 + 0.842414i 0.989172 0.146758i \(-0.0468839\pi\)
−0.146758 + 0.989172i \(0.546884\pi\)
\(744\) 2.37849 13.2209i 0.0871997 0.484703i
\(745\) −2.83607 + 1.63741i −0.103906 + 0.0599899i
\(746\) −4.63361 + 17.2929i −0.169648 + 0.633137i
\(747\) −10.2513 + 14.4264i −0.375074 + 0.527834i
\(748\) −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
\(753\) 2.73132 3.23224i 0.0995349 0.117789i
\(754\) −8.35005 1.73450i −0.304091 0.0631667i
\(755\) 9.94193i 0.361824i
\(756\) 13.3311 + 3.35897i 0.484846 + 0.122165i
\(757\) 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
\(759\) 1.92896 + 22.9647i 0.0700167 + 0.833566i
\(760\) 6.02375 + 1.61406i 0.218504 + 0.0585480i
\(761\) 3.13377 + 11.6954i 0.113599 + 0.423958i 0.999178 0.0405307i \(-0.0129048\pi\)
−0.885579 + 0.464489i \(0.846238\pi\)
\(762\) 30.0989 + 14.1626i 1.09037 + 0.513055i
\(763\) 11.7575 + 6.39611i 0.425649 + 0.231555i
\(764\) −15.2439 −0.551506
\(765\) −13.2262 + 18.6130i −0.478195 + 0.672954i
\(766\) −18.4072 + 10.6274i −0.665078 + 0.383983i
\(767\) 30.3102 33.9779i 1.09444 1.22687i
\(768\) 1.70468 + 0.306679i 0.0615125 + 0.0110663i
\(769\) 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 −0.993332 0.115293i \(-0.963219\pi\)
0.917897 + 0.396819i \(0.129886\pi\)
\(774\) 3.15927 1.44661i