Properties

Label 546.2.bv.a.473.5
Level $546$
Weight $2$
Character 546.473
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 473.5
Character \(\chi\) \(=\) 546.473
Dual form 546.2.bv.a.359.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 + 0.965926i) q^{2} +(-1.11793 - 1.32296i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(0.488980 - 1.82490i) q^{5} +(1.56722 - 0.737434i) q^{6} +(0.619719 + 2.57215i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-0.500449 + 2.95796i) q^{9} +O(q^{10})\) \(q+(-0.258819 + 0.965926i) q^{2} +(-1.11793 - 1.32296i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(0.488980 - 1.82490i) q^{5} +(1.56722 - 0.737434i) q^{6} +(0.619719 + 2.57215i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-0.500449 + 2.95796i) q^{9} +(1.63616 + 0.944637i) q^{10} +(0.458908 + 1.71267i) q^{11} +(0.306679 + 1.70468i) 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} +(-2.72765 - 1.24897i) q^{18} +(3.18839 + 0.854328i) q^{19} +(-1.33592 + 1.33592i) q^{20} +(2.71005 - 3.69536i) q^{21} -1.77308 q^{22} +(-3.75204 - 6.49873i) q^{23} +(-1.72597 - 0.144976i) q^{24} +(1.23898 + 0.715324i) q^{25} +(2.69059 + 2.40016i) q^{26} +(4.47274 - 2.64473i) q^{27} +(0.749382 - 2.53741i) q^{28} -2.36532i q^{29} +(-0.579400 - 3.22061i) q^{30} +(-2.00731 - 7.49138i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(1.75276 - 2.52176i) q^{33} +(2.84869 + 2.84869i) q^{34} +(4.99694 + 0.126804i) q^{35} +(1.91238 - 2.31145i) q^{36} +(1.92390 - 7.18011i) q^{37} +(-1.65043 + 2.85864i) q^{38} +(-6.07337 + 1.45403i) q^{39} +(-0.944637 - 1.63616i) q^{40} +(-1.16845 - 1.16845i) q^{41} +(2.86803 + 3.57413i) q^{42} -1.15824i q^{43} +(0.458908 - 1.71267i) q^{44} +(5.15327 + 2.35965i) q^{45} +(7.24839 - 1.94220i) q^{46} +(9.54491 + 2.55755i) 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} +(-3.01475 + 1.97770i) q^{52} +(8.17176 + 4.71797i) q^{53} +(1.39699 + 5.00484i) q^{54} +3.34984 q^{55} +(2.25699 + 1.38058i) q^{56} +(-2.43417 - 5.17320i) q^{57} +(2.28473 + 0.612191i) q^{58} +(3.26848 + 12.1981i) q^{59} +(3.26083 + 0.273899i) q^{60} +(-5.96460 - 10.3310i) q^{61} +7.75565 q^{62} +(-7.91846 + 0.545879i) q^{63} -1.00000i q^{64} +(-5.08325 - 4.53455i) q^{65} +(1.98219 + 2.34572i) q^{66} +(2.84753 + 10.6271i) q^{67} +(-3.48891 + 2.01432i) q^{68} +(-4.40303 + 12.2290i) q^{69} +(-1.41579 + 4.79385i) q^{70} +(1.54553 + 1.54553i) q^{71} +(1.73773 + 2.44547i) q^{72} +(-1.64132 + 0.439791i) 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} +(0.167415 - 6.24275i) q^{78} +(-3.34611 - 5.79563i) q^{79} +(1.82490 - 0.488980i) q^{80} +(-8.49910 - 2.96062i) q^{81} +(1.43105 - 0.826218i) q^{82} +(4.17139 + 4.17139i) q^{83} +(-4.19465 + 1.84525i) q^{84} +(-5.38194 - 5.38194i) q^{85} +(1.11877 + 0.299774i) q^{86} +(-3.12923 + 2.64427i) q^{87} +(1.53553 + 0.886542i) q^{88} +(-3.18631 - 0.853770i) q^{89} +(-3.61301 + 4.36696i) q^{90} +(9.28779 + 2.17645i) q^{91} +7.50409i q^{92} +(-7.66676 + 11.0305i) q^{93} +(-4.94081 + 8.55773i) q^{94} +(3.11812 - 5.40074i) q^{95} +(1.42225 + 0.988539i) q^{96} +(5.14678 - 5.14678i) q^{97} +(-1.46646 - 6.84467i) q^{98} +(-5.29567 + 0.500330i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144q - 16q^{7} + O(q^{10}) \) \( 144q - 16q^{7} + 72q^{16} + 16q^{18} + 8q^{19} + 8q^{21} + 24q^{27} - 8q^{28} - 8q^{31} + 12q^{33} - 8q^{37} + 16q^{39} - 40q^{45} + 8q^{46} + 8q^{52} - 12q^{54} - 32q^{55} + 16q^{57} + 8q^{58} - 32q^{61} - 40q^{63} - 32q^{66} - 8q^{67} + 16q^{72} + 80q^{73} - 16q^{76} + 16q^{78} - 112q^{79} - 48q^{81} + 16q^{84} - 80q^{85} + 96q^{87} - 32q^{91} + 36q^{93} - 64q^{94} - 144q^{97} - 32q^{99} + O(q^{100}) \)

Character values

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 + 0.965926i −0.183013 + 0.683013i
\(3\) −1.11793 1.32296i −0.645439 0.763812i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) 0.488980 1.82490i 0.218678 0.816119i −0.766161 0.642649i \(-0.777835\pi\)
0.984839 0.173470i \(-0.0554980\pi\)
\(6\) 1.56722 0.737434i 0.639817 0.301056i
\(7\) 0.619719 + 2.57215i 0.234232 + 0.972181i
\(8\) 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
\(11\) 0.458908 + 1.71267i 0.138366 + 0.516388i 0.999961 + 0.00879290i \(0.00279890\pi\)
−0.861595 + 0.507596i \(0.830534\pi\)
\(12\) 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
\(15\) −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 −0.511368 0.859362i \(-0.670861\pi\)
0.999913 + 0.0131764i \(0.00419430\pi\)
\(18\) −2.72765 1.24897i −0.642913 0.294386i
\(19\) 3.18839 + 0.854328i 0.731468 + 0.195996i 0.605283 0.796011i \(-0.293060\pi\)
0.126185 + 0.992007i \(0.459727\pi\)
\(20\) −1.33592 + 1.33592i −0.298720 + 0.298720i
\(21\) 2.71005 3.69536i 0.591380 0.806393i
\(22\) −1.77308 −0.378023
\(23\) −3.75204 6.49873i −0.782355 1.35508i −0.930566 0.366123i \(-0.880685\pi\)
0.148211 0.988956i \(-0.452648\pi\)
\(24\) −1.72597 0.144976i −0.352313 0.0295931i
\(25\) 1.23898 + 0.715324i 0.247795 + 0.143065i
\(26\) 2.69059 + 2.40016i 0.527667 + 0.470709i
\(27\) 4.47274 2.64473i 0.860779 0.508979i
\(28\) 0.749382 2.53741i 0.141620 0.479525i
\(29\) 2.36532i 0.439230i −0.975587 0.219615i \(-0.929520\pi\)
0.975587 0.219615i \(-0.0704800\pi\)
\(30\) −0.579400 3.22061i −0.105783 0.588001i
\(31\) −2.00731 7.49138i −0.360523 1.34549i −0.873389 0.487023i \(-0.838083\pi\)
0.512866 0.858469i \(-0.328584\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) 1.75276 2.52176i 0.305117 0.438983i
\(34\) 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
\(37\) 1.92390 7.18011i 0.316288 1.18040i −0.606497 0.795086i \(-0.707426\pi\)
0.922785 0.385316i \(-0.125908\pi\)
\(38\) −1.65043 + 2.85864i −0.267736 + 0.463732i
\(39\) −6.07337 + 1.45403i −0.972517 + 0.232832i
\(40\) −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 \(0.791188\pi\)
\(42\) 2.86803 + 3.57413i 0.442546 + 0.551500i
\(43\) 1.15824i 0.176630i −0.996093 0.0883149i \(-0.971852\pi\)
0.996093 0.0883149i \(-0.0281482\pi\)
\(44\) 0.458908 1.71267i 0.0691829 0.258194i
\(45\) 5.15327 + 2.35965i 0.768204 + 0.351756i
\(46\) 7.24839 1.94220i 1.06872 0.286362i
\(47\) 9.54491 + 2.55755i 1.39227 + 0.373057i 0.875562 0.483106i \(-0.160491\pi\)
0.516706 + 0.856163i \(0.327158\pi\)
\(48\) 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
\(52\) −3.01475 + 1.97770i −0.418070 + 0.274258i
\(53\) 8.17176 + 4.71797i 1.12248 + 0.648063i 0.942032 0.335522i \(-0.108913\pi\)
0.180445 + 0.983585i \(0.442246\pi\)
\(54\) 1.39699 + 5.00484i 0.190106 + 0.681073i
\(55\) 3.34984 0.451692
\(56\) 2.25699 + 1.38058i 0.301603 + 0.184487i
\(57\) −2.43417 5.17320i −0.322414 0.685207i
\(58\) 2.28473 + 0.612191i 0.299999 + 0.0803846i
\(59\) 3.26848 + 12.1981i 0.425520 + 1.58806i 0.762785 + 0.646652i \(0.223831\pi\)
−0.337265 + 0.941410i \(0.609502\pi\)
\(60\) 3.26083 + 0.273899i 0.420972 + 0.0353602i
\(61\) −5.96460 10.3310i −0.763689 1.32275i −0.940937 0.338581i \(-0.890053\pi\)
0.177249 0.984166i \(-0.443280\pi\)
\(62\) 7.75565 0.984968
\(63\) −7.91846 + 0.545879i −0.997632 + 0.0687742i
\(64\) 1.00000i 0.125000i
\(65\) −5.08325 4.53455i −0.630500 0.562442i
\(66\) 1.98219 + 2.34572i 0.243991 + 0.288738i
\(67\) 2.84753 + 10.6271i 0.347881 + 1.29831i 0.889211 + 0.457498i \(0.151254\pi\)
−0.541330 + 0.840810i \(0.682079\pi\)
\(68\) −3.48891 + 2.01432i −0.423093 + 0.244273i
\(69\) −4.40303 + 12.2290i −0.530062 + 1.47219i
\(70\) −1.41579 + 4.79385i −0.169219 + 0.572975i
\(71\) 1.54553 + 1.54553i 0.183421 + 0.183421i 0.792845 0.609424i \(-0.208599\pi\)
−0.609424 + 0.792845i \(0.708599\pi\)
\(72\) 1.73773 + 2.44547i 0.204793 + 0.288201i
\(73\) −1.64132 + 0.439791i −0.192102 + 0.0514736i −0.353587 0.935402i \(-0.615038\pi\)
0.161485 + 0.986875i \(0.448372\pi\)
\(74\) 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
\(78\) 0.167415 6.24275i 0.0189560 0.706853i
\(79\) −3.34611 5.79563i −0.376467 0.652059i 0.614079 0.789245i \(-0.289528\pi\)
−0.990545 + 0.137185i \(0.956194\pi\)
\(80\) 1.82490 0.488980i 0.204030 0.0546696i
\(81\) −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 0.897956 0.440086i \(-0.145052\pi\)
−0.440086 + 0.897956i \(0.645052\pi\)
\(84\) −4.19465 + 1.84525i −0.457673 + 0.201333i
\(85\) −5.38194 5.38194i −0.583754 0.583754i
\(86\) 1.11877 + 0.299774i 0.120640 + 0.0323255i
\(87\) −3.12923 + 2.64427i −0.335489 + 0.283496i
\(88\) 1.53553 + 0.886542i 0.163689 + 0.0945056i
\(89\) −3.18631 0.853770i −0.337748 0.0904994i 0.0859586 0.996299i \(-0.472605\pi\)
−0.423707 + 0.905799i \(0.639271\pi\)
\(90\) −3.61301 + 4.36696i −0.380845 + 0.460318i
\(91\) 9.28779 + 2.17645i 0.973625 + 0.228154i
\(92\) 7.50409i 0.782355i
\(93\) −7.66676 + 11.0305i −0.795006 + 1.14380i
\(94\) −4.94081 + 8.55773i −0.509605 + 0.882662i
\(95\) 3.11812 5.40074i 0.319912 0.554105i
\(96\) 1.42225 + 0.988539i 0.145158 + 0.100892i
\(97\) 5.14678 5.14678i 0.522576 0.522576i −0.395772 0.918349i \(-0.629523\pi\)
0.918349 + 0.395772i \(0.129523\pi\)
\(98\) −1.46646 6.84467i −0.148135 0.691416i
\(99\) −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 −0.798003 0.602653i \(-0.794110\pi\)
0.920914 + 0.389765i \(0.127444\pi\)
\(102\) 0.584057 6.95334i 0.0578303 0.688483i
\(103\) −2.64117 + 1.52488i −0.260242 + 0.150251i −0.624445 0.781069i \(-0.714675\pi\)
0.364203 + 0.931320i \(0.381341\pi\)
\(104\) −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 −0.982242 0.187621i \(-0.939922\pi\)
−0.328636 + 0.944457i \(0.606589\pi\)
\(108\) −5.19587 + 0.0540370i −0.499973 + 0.00519971i
\(109\) −1.30934 4.88654i −0.125412 0.468045i 0.874442 0.485131i \(-0.161228\pi\)
−0.999854 + 0.0170853i \(0.994561\pi\)
\(110\) −0.867002 + 3.23570i −0.0826654 + 0.308511i
\(111\) −11.6498 + 5.48163i −1.10575 + 0.520294i
\(112\) −1.91769 + 1.82277i −0.181204 + 0.172235i
\(113\) 10.8278i 1.01859i −0.860592 0.509296i \(-0.829906\pi\)
0.860592 0.509296i \(-0.170094\pi\)
\(114\) 5.62694 1.01231i 0.527011 0.0948111i
\(115\) −13.6942 + 3.66935i −1.27699 + 0.342168i
\(116\) −1.18266 + 2.04843i −0.109807 + 0.190192i
\(117\) 8.71325 + 6.40931i 0.805540 + 0.592541i
\(118\) −12.6284 −1.16254
\(119\) 10.2223 + 3.01900i 0.937078 + 0.276751i
\(120\) −1.10853 + 3.07883i −0.101195 + 0.281058i
\(121\) 6.80365 3.92809i 0.618513 0.357099i
\(122\) 11.5227 3.08750i 1.04322 0.279529i
\(123\) −0.239563 + 2.85206i −0.0216007 + 0.257162i
\(124\) −2.00731 + 7.49138i −0.180262 + 0.672746i
\(125\) 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 \(0.675333\pi\)
\(128\) 0.965926 + 0.258819i 0.0853766 + 0.0228766i
\(129\) −1.53231 + 1.29483i −0.134912 + 0.114004i
\(130\) 5.69568 3.73642i 0.499544 0.327705i
\(131\) 3.71710 2.14607i 0.324764 0.187503i −0.328750 0.944417i \(-0.606627\pi\)
0.653514 + 0.756914i \(0.273294\pi\)
\(132\) −2.77882 + 1.30753i −0.241865 + 0.113806i
\(133\) −0.221548 + 8.73047i −0.0192106 + 0.757027i
\(134\) −11.0020 −0.950428
\(135\) −2.63929 9.45551i −0.227154 0.813801i
\(136\) −1.04269 3.89138i −0.0894100 0.333683i
\(137\) −1.73161 6.46244i −0.147941 0.552124i −0.999607 0.0280384i \(-0.991074\pi\)
0.851666 0.524085i \(-0.175593\pi\)
\(138\) −10.6727 7.41808i −0.908518 0.631469i
\(139\) 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
\(143\) 6.25933 + 1.30021i 0.523431 + 0.108729i
\(144\) −2.81190 + 1.04558i −0.234325 + 0.0871317i
\(145\) −4.31647 1.15660i −0.358464 0.0960500i
\(146\) 1.69922i 0.140629i
\(147\) 11.1845 + 4.68056i 0.922480 + 0.386046i
\(148\) −5.25620 + 5.25620i −0.432057 + 0.432057i
\(149\) −0.448629 + 1.67431i −0.0367531 + 0.137165i −0.981865 0.189584i \(-0.939286\pi\)
0.945111 + 0.326748i \(0.105953\pi\)
\(150\) 2.46926 + 0.207409i 0.201614 + 0.0169349i
\(151\) 5.08300 1.36199i 0.413648 0.110837i −0.0459921 0.998942i \(-0.514645\pi\)
0.459641 + 0.888105i \(0.347978\pi\)
\(152\) 2.85864 1.65043i 0.231866 0.133868i
\(153\) 9.31201 + 7.70432i 0.752831 + 0.622858i
\(154\) −1.09881 4.56063i −0.0885449 0.367506i
\(155\) −14.6525 −1.17692
\(156\) 5.98671 + 1.77745i 0.479320 + 0.142310i
\(157\) −9.16996 + 15.8828i −0.731843 + 1.26759i 0.224252 + 0.974531i \(0.428006\pi\)
−0.956095 + 0.293057i \(0.905327\pi\)
\(158\) 6.46419 1.73207i 0.514263 0.137796i
\(159\) −2.89380 16.0853i −0.229493 1.27565i
\(160\) 1.88927i 0.149360i
\(161\) 14.3905 13.6782i 1.13413 1.07799i
\(162\) 5.05947 7.44324i 0.397509 0.584796i
\(163\) 4.39704 16.4100i 0.344403 1.28533i −0.548906 0.835884i \(-0.684955\pi\)
0.893308 0.449444i \(-0.148378\pi\)
\(164\) 0.427682 + 1.59613i 0.0333964 + 0.124637i
\(165\) −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 −0.935918 0.352219i \(-0.885427\pi\)
0.352219 + 0.935918i \(0.385427\pi\)
\(168\) −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
\(171\) −4.12270 + 9.00361i −0.315271 + 0.688523i
\(172\) −0.579120 + 1.00306i −0.0441575 + 0.0764830i
\(173\) 7.40149 + 12.8198i 0.562725 + 0.974668i 0.997257 + 0.0740116i \(0.0235802\pi\)
−0.434533 + 0.900656i \(0.643086\pi\)
\(174\) −1.74427 3.70699i −0.132233 0.281026i
\(175\) −1.07210 + 3.63013i −0.0810432 + 0.274412i
\(176\) −1.25376 + 1.25376i −0.0945056 + 0.0945056i
\(177\) 12.4837 17.9608i 0.938333 1.35001i
\(178\) 1.64936 2.85677i 0.123624 0.214124i
\(179\) −9.29037 + 16.0914i −0.694395 + 1.20273i 0.275989 + 0.961161i \(0.410995\pi\)
−0.970384 + 0.241567i \(0.922339\pi\)
\(180\) −3.28304 4.62016i −0.244703 0.344366i
\(181\) 19.2547i 1.43119i 0.698515 + 0.715595i \(0.253844\pi\)
−0.698515 + 0.715595i \(0.746156\pi\)
\(182\) −4.50615 + 8.40801i −0.334018 + 0.623243i
\(183\) −6.99946 + 19.4403i −0.517415 + 1.43707i
\(184\) −7.24839 1.94220i −0.534358 0.143181i
\(185\) −12.1622 7.02186i −0.894183 0.516257i
\(186\) −8.67030 10.2604i −0.635737 0.752330i
\(187\) 6.89973 + 1.84878i 0.504558 + 0.135196i
\(188\) −6.98736 6.98736i −0.509605 0.509605i
\(189\) 9.57449 + 9.86555i 0.696442 + 0.717613i
\(190\) 4.40969 + 4.40969i 0.319912 + 0.319912i
\(191\) −13.2016 + 7.62196i −0.955236 + 0.551506i −0.894704 0.446660i \(-0.852613\pi\)
−0.0605325 + 0.998166i \(0.519280\pi\)
\(192\) −1.32296 + 1.11793i −0.0954764 + 0.0806799i
\(193\) −20.2766 + 5.43309i −1.45954 + 0.391083i −0.899331 0.437269i \(-0.855946\pi\)
−0.560209 + 0.828351i \(0.689279\pi\)
\(194\) 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 \(0.623985\pi\)
\(198\) 0.887338 5.24472i 0.0630603 0.372726i
\(199\) −10.0996 5.83099i −0.715940 0.413348i 0.0973164 0.995253i \(-0.468974\pi\)
−0.813257 + 0.581905i \(0.802307\pi\)
\(200\) 1.38190 0.370279i 0.0977150 0.0261827i
\(201\) 10.8759 15.6476i 0.767127 1.10369i
\(202\) 1.74689 + 1.74689i 0.122911 + 0.122911i
\(203\) 6.08396 1.46584i 0.427011 0.102882i
\(204\) 6.56524 + 2.36381i 0.459659 + 0.165500i
\(205\) −2.70365 + 1.56095i −0.188831 + 0.109022i
\(206\) −0.789336 2.94584i −0.0549957 0.205247i
\(207\) 21.1007 7.84613i 1.46660 0.545343i
\(208\) 3.59970 0.205365i 0.249594 0.0142395i
\(209\) 5.85271i 0.404841i
\(210\) 7.92483 3.48618i 0.546865 0.240569i
\(211\) 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
\(213\) 0.316875 3.77247i 0.0217119 0.258486i
\(214\) −4.05247 15.1240i −0.277021 1.03386i
\(215\) −2.11367 0.566356i −0.144151 0.0386251i
\(216\) 1.29259 5.03281i 0.0879499 0.342439i
\(217\) 18.0250 9.80565i 1.22361 0.665651i
\(218\) 5.05892 0.342633
\(219\) 2.41671 + 1.67975i 0.163306 + 0.113507i
\(220\) −2.90104 1.67492i −0.195588 0.112923i
\(221\) −7.96746 12.1454i −0.535949 0.816985i
\(222\) −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
\(226\) 10.4588 + 2.80243i 0.695711 + 0.186415i
\(227\) −8.97401 + 2.40458i −0.595626 + 0.159597i −0.544023 0.839070i \(-0.683100\pi\)
−0.0516026 + 0.998668i \(0.516433\pi\)
\(228\) −0.478546 + 5.69721i −0.0316925 + 0.377307i
\(229\) −5.17964 + 19.3307i −0.342281 + 1.27741i 0.553477 + 0.832865i \(0.313301\pi\)
−0.895757 + 0.444544i \(0.853366\pi\)
\(230\) 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 0.942723 + 0.333577i \(0.108256\pi\)
−0.182475 + 0.983210i \(0.558411\pi\)
\(234\) −8.44608 + 6.75750i −0.552137 + 0.441752i
\(235\) 9.33453 16.1679i 0.608918 1.05468i
\(236\) 3.26848 12.1981i 0.212760 0.794031i
\(237\) −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 \(0.828111\pi\)
\(240\) −2.68702 1.86762i −0.173446 0.120554i
\(241\) −20.2823 + 5.43462i −1.30650 + 0.350075i −0.843903 0.536496i \(-0.819748\pi\)
−0.462594 + 0.886570i \(0.653081\pi\)
\(242\) 2.03333 + 7.58848i 0.130707 + 0.487806i
\(243\) 5.58465 + 14.5538i 0.358255 + 0.933624i
\(244\) 11.9292i 0.763689i
\(245\) 2.77054 + 12.9314i 0.177003 + 0.826160i
\(246\) −2.69288 0.969568i −0.171691 0.0618174i
\(247\) 7.92260 8.88127i 0.504103 0.565102i
\(248\) −6.71659 3.87782i −0.426504 0.246242i
\(249\) 0.855247 10.1819i 0.0541991 0.645253i
\(250\) 6.07462 + 10.5216i 0.384193 + 0.665442i
\(251\) 2.44319 0.154213 0.0771063 0.997023i \(-0.475432\pi\)
0.0771063 + 0.997023i \(0.475432\pi\)
\(252\) 7.13053 + 3.48649i 0.449181 + 0.219628i
\(253\) 9.40832 9.40832i 0.591496 0.591496i
\(254\) −18.5508 4.97067i −1.16398 0.311888i
\(255\) −1.10344 + 13.1368i −0.0691003 + 0.822656i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −2.17304 3.76382i −0.135551 0.234780i 0.790257 0.612775i \(-0.209947\pi\)
−0.925808 + 0.377995i \(0.876614\pi\)
\(258\) −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
\(261\) 6.99654 + 1.18372i 0.433075 + 0.0732707i
\(262\) 1.11089 + 4.14588i 0.0686308 + 0.256134i
\(263\) 9.85510 + 5.68984i 0.607691 + 0.350851i 0.772061 0.635548i \(-0.219226\pi\)
−0.164370 + 0.986399i \(0.552559\pi\)
\(264\) −0.543767 3.02255i −0.0334665 0.186025i
\(265\) 12.6056 12.6056i 0.774358 0.774358i
\(266\) −8.37564 2.47361i −0.513544 0.151667i
\(267\) 2.43258 + 5.16982i 0.148872 + 0.316388i
\(268\) 2.84753 10.6271i 0.173940 0.649154i
\(269\) −18.3630 10.6019i −1.11961 0.646408i −0.178310 0.983974i \(-0.557063\pi\)
−0.941302 + 0.337566i \(0.890396\pi\)
\(270\) 9.81642 0.102091i 0.597408 0.00621304i
\(271\) 3.82897 14.2899i 0.232594 0.868051i −0.746625 0.665245i \(-0.768327\pi\)
0.979219 0.202806i \(-0.0650061\pi\)
\(272\) 4.02865 0.244273
\(273\) −7.50377 14.7205i −0.454149 0.890926i
\(274\) 6.69041 0.404183
\(275\) −0.656535 + 2.45022i −0.0395905 + 0.147754i
\(276\) 9.92761 8.38907i 0.597572 0.504963i
\(277\) 17.8363 + 10.2978i 1.07168 + 0.618735i 0.928640 0.370982i \(-0.120979\pi\)
0.143040 + 0.989717i \(0.454312\pi\)
\(278\) −3.35215 + 12.5104i −0.201049 + 0.750323i
\(279\) 23.1638 2.18849i 1.38678 0.131022i
\(280\) 3.62303 3.44370i 0.216518 0.205801i
\(281\) −8.00943 + 8.00943i −0.477803 + 0.477803i −0.904428 0.426626i \(-0.859702\pi\)
0.426626 + 0.904428i \(0.359702\pi\)
\(282\) 16.8450 3.03048i 1.00311 0.180462i
\(283\) −1.97537 1.14048i −0.117423 0.0677945i 0.440138 0.897930i \(-0.354930\pi\)
−0.557561 + 0.830136i \(0.688263\pi\)
\(284\) −0.565703 2.11123i −0.0335683 0.125279i
\(285\) −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
\(288\) −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
\(291\) −12.5627 1.05523i −0.736441 0.0618586i
\(292\) 1.64132 + 0.439791i 0.0960511 + 0.0257368i
\(293\) 19.4879 19.4879i 1.13850 1.13850i 0.149775 0.988720i \(-0.452145\pi\)
0.988720 0.149775i \(-0.0478550\pi\)
\(294\) −7.41582 + 9.59195i −0.432500 + 0.559414i
\(295\) 23.8586 1.38910
\(296\) −3.71670 6.43751i −0.216029 0.374173i
\(297\) 6.58212 + 6.44662i 0.381933 + 0.374071i
\(298\) −1.50114 0.866685i −0.0869589 0.0502057i
\(299\) −27.0124 + 1.54108i −1.56217 + 0.0891227i
\(300\) −0.839433 + 2.33144i −0.0484647 + 0.134606i
\(301\) 2.97916 0.717784i 0.171716 0.0413724i
\(302\) 5.26231i 0.302812i
\(303\) −4.21139 + 0.757644i −0.241938 + 0.0435255i
\(304\) 0.854328 + 3.18839i 0.0489990 + 0.182867i
\(305\) −21.7696 + 5.83314i −1.24652 + 0.334004i
\(306\) −9.85193 + 7.00069i −0.563197 + 0.400203i
\(307\) 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
\(310\) 3.79235 14.1533i 0.215391 0.803851i
\(311\) −1.39800 + 2.42141i −0.0792733 + 0.137305i −0.902937 0.429774i \(-0.858593\pi\)
0.823663 + 0.567079i \(0.191927\pi\)
\(312\) −3.26636 + 5.32268i −0.184921 + 0.301337i
\(313\) 4.51429 + 7.81899i 0.255163 + 0.441955i 0.964940 0.262471i \(-0.0845375\pi\)
−0.709777 + 0.704427i \(0.751204\pi\)
\(314\) −12.9683 12.9683i −0.731843 0.731843i
\(315\) −2.87580 + 14.7173i −0.162033 + 0.829226i
\(316\) 6.69222i 0.376467i
\(317\) 1.80507 6.73660i 0.101383 0.378365i −0.896527 0.442989i \(-0.853918\pi\)
0.997910 + 0.0646238i \(0.0205847\pi\)
\(318\) 16.2862 + 1.36798i 0.913283 + 0.0767127i
\(319\) 4.05101 1.08547i 0.226813 0.0607744i
\(320\) −1.82490 0.488980i −0.102015 0.0273348i
\(321\) 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
\(325\) 4.31304 2.82939i 0.239244 0.156946i
\(326\) 14.7128 + 8.49443i 0.814865 + 0.470463i
\(327\) −5.00094 + 7.19504i −0.276552 + 0.397886i
\(328\) −1.65244 −0.0912405
\(329\) −0.663235 + 26.1359i −0.0365653 + 1.44092i
\(330\) 5.24995 2.47028i 0.289000 0.135985i
\(331\) −13.8388 3.70810i −0.760650 0.203816i −0.142413 0.989807i \(-0.545486\pi\)
−0.618237 + 0.785992i \(0.712153\pi\)
\(332\) −1.52683 5.69822i −0.0837959 0.312731i
\(333\) 20.2757 + 9.28412i 1.11110 + 0.508766i
\(334\) −5.33374 9.23831i −0.291849 0.505498i
\(335\) 20.7858 1.13565
\(336\) 4.55529 + 0.499291i 0.248512 + 0.0272385i
\(337\) 1.28563i 0.0700326i −0.999387 0.0350163i \(-0.988852\pi\)
0.999387 0.0350163i \(-0.0111483\pi\)
\(338\) 12.0929 4.77094i 0.657767 0.259505i
\(339\) −14.3247 + 12.1047i −0.778012 + 0.657439i
\(340\) 1.96993 + 7.35187i 0.106834 + 0.398711i
\(341\) 11.9091 6.87570i 0.644912 0.372340i
\(342\) −7.62978 6.31253i −0.412571 0.341342i
\(343\) −12.0621 14.0537i −0.651292 0.758828i
\(344\) −0.818999 0.818999i −0.0441575 0.0441575i
\(345\) 20.1636 + 14.0148i 1.08557 + 0.754531i
\(346\) −14.2986 + 3.83129i −0.768696 + 0.205972i
\(347\) −18.9998 10.9696i −1.01997 0.588877i −0.105871 0.994380i \(-0.533763\pi\)
−0.914094 + 0.405503i \(0.867096\pi\)
\(348\) 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
\(351\) −1.26157 18.6925i −0.0673374 0.997730i
\(352\) −0.886542 1.53553i −0.0472528 0.0818443i
\(353\) 22.1994 5.94830i 1.18155 0.316596i 0.386011 0.922494i \(-0.373853\pi\)
0.795542 + 0.605898i \(0.207186\pi\)
\(354\) 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
\(357\) −7.43386 16.8988i −0.393442 0.894377i
\(358\) −13.1386 13.1386i −0.694395 0.694395i
\(359\) −20.5205 5.49845i −1.08303 0.290197i −0.327193 0.944957i \(-0.606103\pi\)
−0.755836 + 0.654761i \(0.772769\pi\)
\(360\) 5.31244 1.97539i 0.279990 0.104112i
\(361\) −7.01850 4.05213i −0.369395 0.213270i
\(362\) −18.5986 4.98348i −0.977521 0.261926i
\(363\) −12.8027 4.60962i −0.671969 0.241942i
\(364\) −6.95524 6.52876i −0.364553 0.342200i
\(365\) 3.21029i 0.168034i
\(366\) −16.9663 11.7925i −0.886842 0.616403i
\(367\) 12.2557 21.2274i 0.639740 1.10806i −0.345750 0.938327i \(-0.612375\pi\)
0.985490 0.169735i \(-0.0542913\pi\)
\(368\) 3.75204 6.49873i 0.195589 0.338770i
\(369\) 4.04098 2.87148i 0.210365 0.149483i
\(370\) 9.93040 9.93040i 0.516257 0.516257i
\(371\) −7.07112 + 23.9428i −0.367114 + 1.24305i
\(372\) 12.1548 5.71927i 0.630199 0.296531i
\(373\) 8.95144 + 15.5044i 0.463488 + 0.802785i 0.999132 0.0416590i \(-0.0132643\pi\)
−0.535644 + 0.844444i \(0.679931\pi\)
\(374\) −3.57156 + 6.18613i −0.184681 + 0.319877i
\(375\) −20.9693 1.76135i −1.08285 0.0909556i
\(376\) 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
\(382\) −3.94542 14.7245i −0.201865 0.753371i
\(383\) 5.50114 20.5305i 0.281095 1.04906i −0.670551 0.741864i \(-0.733942\pi\)
0.951646 0.307197i \(-0.0993911\pi\)
\(384\) −0.737434 1.56722i −0.0376320 0.0799771i
\(385\) 2.07596 + 8.61628i 0.105801 + 0.439126i
\(386\) 20.9919i 1.06846i
\(387\) 3.42603 + 0.579640i 0.174155 + 0.0294647i
\(388\) −7.03063 + 1.88385i −0.356926 + 0.0956381i
\(389\) 6.58614 11.4075i 0.333931 0.578385i −0.649348 0.760491i \(-0.724958\pi\)
0.983279 + 0.182106i \(0.0582915\pi\)
\(390\) −11.3105 3.35810i −0.572731 0.170044i
\(391\) −30.2313 −1.52886
\(392\) −2.15234 + 6.66089i −0.108710 + 0.336426i
\(393\) −6.99463 2.51841i −0.352833 0.127037i
\(394\) −9.37479 + 5.41253i −0.472295 + 0.272680i
\(395\) −12.2126 + 3.27236i −0.614483 + 0.164650i
\(396\) 4.83635 + 2.21453i 0.243036 + 0.111285i
\(397\) 6.05173 22.5853i 0.303727 1.13353i −0.630308 0.776345i \(-0.717071\pi\)
0.934035 0.357181i \(-0.116262\pi\)
\(398\) 8.24627 8.24627i 0.413348 0.413348i
\(399\) 11.7977 9.46698i 0.590626 0.473942i
\(400\) 1.43065i 0.0715324i
\(401\) −10.0414 2.69059i −0.501444 0.134362i −0.000774026 1.00000i \(-0.500246\pi\)
−0.500670 + 0.865638i \(0.666913\pi\)
\(402\) 12.2995 + 14.5552i 0.613443 + 0.725948i
\(403\) −27.3789 5.68724i −1.36384 0.283302i
\(404\) −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
\(408\) −3.98248 + 5.72974i −0.197162 + 0.283664i
\(409\) 0.710467 + 2.65150i 0.0351304 + 0.131108i 0.981264 0.192668i \(-0.0617141\pi\)
−0.946134 + 0.323776i \(0.895047\pi\)
\(410\) −0.808008 3.01553i −0.0399047 0.148926i
\(411\) −6.61374 + 9.51543i −0.326232 + 0.469362i
\(412\) 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
\(416\) −0.733303 + 3.53019i −0.0359531 + 0.173082i
\(417\) −14.4792 17.1346i −0.709047 0.839085i
\(418\) −5.65329 1.51479i −0.276511 0.0740910i
\(419\) 36.6360i 1.78979i −0.446281 0.894893i \(-0.647252\pi\)
0.446281 0.894893i \(-0.352748\pi\)
\(420\) 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 \(0.341302\pi\)
\(422\) −2.44808 + 9.13638i −0.119171 + 0.444752i
\(423\) −12.3419 + 26.9536i −0.600083 + 1.31053i
\(424\) 9.11442 2.44220i 0.442635 0.118604i
\(425\) 4.99140 2.88179i 0.242119 0.139787i
\(426\) 3.56192 + 1.28247i 0.172575 + 0.0621357i
\(427\) 22.8765 21.7441i 1.10707 1.05227i
\(428\) 15.6575 0.756836
\(429\) −5.27739 9.73439i −0.254795 0.469981i
\(430\) 1.09412 1.89506i 0.0527629 0.0913881i
\(431\) −12.7016 + 3.40340i −0.611817 + 0.163936i −0.551405 0.834238i \(-0.685908\pi\)
−0.0604118 + 0.998174i \(0.519241\pi\)
\(432\) 4.52678 + 2.55114i 0.217795 + 0.122742i
\(433\) 20.3113i 0.976097i 0.872816 + 0.488049i \(0.162291\pi\)
−0.872816 + 0.488049i \(0.837709\pi\)
\(434\) 4.80632 + 19.9487i 0.230711 + 0.957567i
\(435\) 3.29540 + 7.00352i 0.158002 + 0.335793i
\(436\) −1.30934 + 4.88654i −0.0627062 + 0.234023i
\(437\) −6.41095 23.9260i −0.306677 1.14453i
\(438\) −2.24800 + 1.89962i −0.107414 + 0.0907672i
\(439\) −25.1485 + 14.5195i −1.20027 + 0.692977i −0.960615 0.277881i \(-0.910368\pi\)
−0.239656 + 0.970858i \(0.577035\pi\)
\(440\) 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 −0.916989 0.398912i \(-0.869388\pi\)
−0.113026 + 0.993592i \(0.536054\pi\)
\(444\) 12.8298 + 1.07766i 0.608877 + 0.0511436i
\(445\) −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
\(448\) 2.57215 0.619719i 0.121523 0.0292790i
\(449\) 23.3615 23.3615i 1.10250 1.10250i 0.108386 0.994109i \(-0.465432\pi\)
0.994109 0.108386i \(-0.0345684\pi\)
\(450\) −2.48607 3.49860i −0.117195 0.164926i
\(451\) 1.46495 2.53737i 0.0689820 0.119480i
\(452\) −5.41389 + 9.37713i −0.254648 + 0.441063i
\(453\) −7.48431 5.20200i −0.351643 0.244411i
\(454\) 9.29057i 0.436028i
\(455\) 8.51335 15.8850i 0.399112 0.744701i
\(456\) −5.37922 1.93679i −0.251905 0.0906983i
\(457\) 14.7887 + 3.96263i 0.691788 + 0.185364i 0.587550 0.809188i \(-0.300093\pi\)
0.104239 + 0.994552i \(0.466759\pi\)
\(458\) −17.3314 10.0063i −0.809845 0.467564i
\(459\) −0.217696 20.9323i −0.0101612 0.977038i
\(460\) 13.6942 + 3.66935i 0.638495 + 0.171084i
\(461\) 20.4542 + 20.4542i 0.952648 + 0.952648i 0.998929 0.0462800i \(-0.0147367\pi\)
−0.0462800 + 0.998929i \(0.514737\pi\)
\(462\) −4.80514 + 6.55217i −0.223555 + 0.304835i
\(463\) 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
\(466\) −22.4185 + 6.00702i −1.03852 + 0.278270i
\(467\) −7.70434 13.3443i −0.356514 0.617501i 0.630861 0.775895i \(-0.282702\pi\)
−0.987376 + 0.158394i \(0.949368\pi\)
\(468\) −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
\(471\) 31.2638 5.62446i 1.44056 0.259162i
\(472\) 10.9365 + 6.31422i 0.503395 + 0.290636i
\(473\) 1.98368 0.531525i 0.0912096 0.0244395i
\(474\) −9.51800 6.61552i −0.437176 0.303861i
\(475\) 3.33923 + 3.33923i 0.153214 + 0.153214i
\(476\) −7.34329 7.72569i −0.336579 0.354106i
\(477\) −18.0451 + 21.8107i −0.826230 + 0.998642i
\(478\) 6.50513 3.75574i 0.297538 0.171783i
\(479\) 2.85010 + 10.6367i 0.130224 + 0.486004i 0.999972 0.00749277i \(-0.00238504\pi\)
−0.869747 + 0.493497i \(0.835718\pi\)
\(480\) 2.49943 2.11208i 0.114083 0.0964029i
\(481\) −20.0002 17.8413i −0.911930 0.813493i
\(482\) 20.9978i 0.956422i
\(483\) −34.1833 3.74672i −1.55540 0.170482i
\(484\) −7.85618 −0.357099
\(485\) −6.87568 11.9090i −0.312208 0.540761i
\(486\) −15.5033 + 1.62757i −0.703242 + 0.0738280i
\(487\) 7.54368 + 28.1534i 0.341837 + 1.27575i 0.896264 + 0.443521i \(0.146271\pi\)
−0.554427 + 0.832232i \(0.687063\pi\)
\(488\) −11.5227 3.08750i −0.521609 0.139765i
\(489\) −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 \(0.369844\pi\)
\(492\) 1.63350 2.35018i 0.0736438 0.105954i
\(493\) −8.25241 4.76453i −0.371670 0.214584i
\(494\) 6.52813 + 9.95128i 0.293714 + 0.447729i
\(495\) −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
\(499\) 5.88028 + 1.57562i 0.263238 + 0.0705343i 0.388024 0.921649i \(-0.373158\pi\)
−0.124786 + 0.992184i \(0.539825\pi\)
\(500\) −11.7353 + 3.14446i −0.524817 + 0.140624i
\(501\) 18.4118 + 1.54653i 0.822577 + 0.0690937i
\(502\) −0.632344 + 2.35994i −0.0282229 + 0.105329i
\(503\) 38.6506i 1.72334i 0.507466 + 0.861671i \(0.330582\pi\)
−0.507466 + 0.861671i \(0.669418\pi\)
\(504\) −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
\(507\) −5.16884 + 21.9154i −0.229556 + 0.973295i
\(508\) 9.60260 16.6322i 0.426047 0.737934i
\(509\) 0.476080 1.77675i 0.0211019 0.0787532i −0.954572 0.297981i \(-0.903687\pi\)
0.975674 + 0.219227i \(0.0703536\pi\)
\(510\) −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
\(513\) 16.5203 4.61127i 0.729390 0.203592i
\(514\) 4.19799 1.12485i 0.185166 0.0496149i
\(515\) 1.49127 + 5.56550i 0.0657133 + 0.245245i
\(516\) 1.97443 0.355207i 0.0869196 0.0156371i
\(517\) 17.5209i 0.770569i
\(518\) −5.57045 + 18.8615i −0.244751 + 0.828728i
\(519\) 8.68565 24.1235i 0.381258 1.05890i
\(520\) −6.80081 + 0.387990i −0.298235 + 0.0170145i
\(521\) 11.5622 + 6.67544i 0.506549 + 0.292456i 0.731414 0.681934i \(-0.238861\pi\)
−0.224865 + 0.974390i \(0.572194\pi\)
\(522\) −2.95423 + 6.45177i −0.129303 + 0.282386i
\(523\) −7.83685 13.5738i −0.342681 0.593542i 0.642248 0.766497i \(-0.278002\pi\)
−0.984930 + 0.172955i \(0.944668\pi\)
\(524\) −4.29214 −0.187503
\(525\) 6.00106 2.63990i 0.261908 0.115215i
\(526\) −8.04665 + 8.04665i −0.350851 + 0.350851i
\(527\) −30.1801 8.08674i −1.31467 0.352264i
\(528\) 3.06029 + 0.257054i 0.133182 + 0.0111869i
\(529\) −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
\(534\) −5.62326 + 1.01164i −0.243342 + 0.0437781i
\(535\) 7.65622 + 28.5734i 0.331007 + 1.23534i
\(536\) 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
\(539\) −8.31988 9.21015i −0.358363 0.396709i
\(540\) −2.44206 + 9.50836i −0.105090 + 0.409175i
\(541\) −7.52229 + 28.0736i −0.323409 + 1.20698i 0.592493 + 0.805575i \(0.298144\pi\)
−0.915902 + 0.401402i \(0.868523\pi\)
\(542\) 12.8120 + 7.39701i 0.550322 + 0.317729i
\(543\) 25.4732 21.5255i 1.09316 0.923746i
\(544\) −1.04269 + 3.89138i −0.0447050 + 0.166841i
\(545\) −9.55767 −0.409406
\(546\) 16.1610 3.43814i 0.691629 0.147139i
\(547\) −30.9427 −1.32301 −0.661506 0.749939i \(-0.730083\pi\)
−0.661506 + 0.749939i \(0.730083\pi\)
\(548\) −1.73161 + 6.46244i −0.0739706 + 0.276062i
\(549\) 33.5437 12.4729i 1.43161 0.532332i
\(550\) −2.19681 1.26833i −0.0936722 0.0540817i
\(551\) 2.02076 7.54158i 0.0860873 0.321282i
\(552\) 5.53377 + 11.7606i 0.235533 + 0.500564i
\(553\) 12.8336 12.1984i 0.545739 0.518727i
\(554\) −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
\(557\) 1.70215 + 6.35250i 0.0721223 + 0.269164i 0.992565 0.121713i \(-0.0388386\pi\)
−0.920443 + 0.390877i \(0.872172\pi\)
\(558\) −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
\(561\) −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 −0.242169 + 0.970234i \(0.577859\pi\)
−0.719163 + 0.694842i \(0.755474\pi\)
\(564\) −1.43260 + 17.0554i −0.0603232 + 0.718162i
\(565\) −19.7596 5.29456i −0.831292 0.222744i
\(566\) 1.61288 1.61288i 0.0677945 0.0677945i
\(567\) 2.34810 23.6957i 0.0986108 0.995126i
\(568\) 2.18571 0.0917103
\(569\) 5.55993 + 9.63007i 0.233084 + 0.403714i 0.958714 0.284371i \(-0.0917849\pi\)
−0.725630 + 0.688085i \(0.758452\pi\)
\(570\) 0.904105 10.7636i 0.0378688 0.450837i
\(571\) 14.9711 + 8.64357i 0.626521 + 0.361722i 0.779404 0.626522i \(-0.215522\pi\)
−0.152882 + 0.988244i \(0.548856\pi\)
\(572\) −4.77063 4.25568i −0.199470 0.177939i
\(573\) 24.8421 + 8.94438i 1.03779 + 0.373657i
\(574\) 3.01201 + 3.16885i 0.125719 + 0.132265i
\(575\) 10.7357i 0.447710i
\(576\) 2.95796 + 0.500449i 0.123248 + 0.0208520i
\(577\) 0.801367 + 2.99074i 0.0333613 + 0.124506i 0.980598 0.196028i \(-0.0628043\pi\)
−0.947237 + 0.320534i \(0.896138\pi\)
\(578\) −0.743748 + 0.199287i −0.0309358 + 0.00828923i
\(579\) 29.8556 + 20.7513i 1.24076 + 0.862393i
\(580\) 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
\(583\) −4.33022 + 16.1606i −0.179340 + 0.669304i
\(584\) −0.849611 + 1.47157i −0.0351571 + 0.0608940i
\(585\) 15.9569 12.7668i 0.659738 0.527841i
\(586\) 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 \(0.579320\pi\)
\(588\) −7.34576 9.64572i −0.302934 0.397783i
\(589\) 25.6004i 1.05484i
\(590\) −6.17505 + 23.0456i −0.254223 + 0.948773i
\(591\) 1.56937 18.6838i 0.0645554 0.768548i
\(592\) 7.18011 1.92390i 0.295101 0.0790720i
\(593\) −4.51085 1.20868i −0.185238 0.0496345i 0.165007 0.986292i \(-0.447235\pi\)
−0.350246 + 0.936658i \(0.613902\pi\)
\(594\) −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
\(598\) 5.50277 26.4909i 0.225025 1.08329i
\(599\) 30.3818 + 17.5409i 1.24137 + 0.716703i 0.969372 0.245596i \(-0.0789835\pi\)
0.271994 + 0.962299i \(0.412317\pi\)
\(600\) −2.03474 1.41425i −0.0830677 0.0577366i
\(601\) −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
\(604\) −5.08300 1.36199i −0.206824 0.0554184i
\(605\) −3.84151 14.3367i −0.156180 0.582870i
\(606\) 0.358160 4.26398i 0.0145493 0.173212i
\(607\) −4.82277 8.35328i −0.195750 0.339049i 0.751396 0.659851i \(-0.229381\pi\)
−0.947146 + 0.320802i \(0.896047\pi\)
\(608\) −3.30087 −0.133868
\(609\) −8.74071 6.41014i −0.354192 0.259752i
\(610\) 22.5375i 0.912517i
\(611\) 23.7174 26.5873i 0.959504 1.07561i
\(612\) −4.21228 11.3281i −0.170271 0.457913i
\(613\) −1.68162 6.27588i −0.0679198 0.253480i 0.923615 0.383322i \(-0.125220\pi\)
−0.991535 + 0.129841i \(0.958553\pi\)
\(614\) −5.17370 + 2.98704i −0.208794 + 0.120547i
\(615\) 5.08758 + 1.83178i 0.205151 + 0.0738645i
\(616\) −1.32872 + 4.49903i −0.0535355 + 0.181271i
\(617\) −15.3887 15.3887i −0.619527 0.619527i 0.325883 0.945410i \(-0.394339\pi\)
−0.945410 + 0.325883i \(0.894339\pi\)
\(618\) −3.01481 + 4.33752i −0.121273 + 0.174481i
\(619\) 37.3800 10.0159i 1.50243 0.402575i 0.588516 0.808485i \(-0.299712\pi\)
0.913913 + 0.405911i \(0.133046\pi\)
\(620\) 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
\(624\) −4.29591 4.53267i −0.171974 0.181452i
\(625\) −7.90001 13.6832i −0.316000 0.547328i
\(626\) −8.72095 + 2.33677i −0.348559 + 0.0933961i
\(627\) 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
\(630\) −13.4715 6.58692i −0.536718 0.262429i
\(631\) −0.880984 0.880984i −0.0350714 0.0350714i 0.689354 0.724425i \(-0.257895\pi\)
−0.724425 + 0.689354i \(0.757895\pi\)
\(632\) −6.46419 1.73207i −0.257132 0.0688982i
\(633\) −10.5742 12.5134i −0.420285 0.497365i
\(634\) 6.03987 + 3.48712i 0.239874 + 0.138491i
\(635\) 35.0475 + 9.39096i 1.39082 + 0.372669i
\(636\) −5.53654 + 15.3772i −0.219538 + 0.609745i
\(637\) 0.157664 + 25.2384i 0.00624686 + 0.999980i
\(638\) 4.19392i 0.166039i
\(639\) −5.34508 + 3.79816i −0.211448 + 0.150253i
\(640\) 0.944637 1.63616i 0.0373400 0.0646748i
\(641\) −20.8196 + 36.0606i −0.822326 + 1.42431i 0.0816205 + 0.996663i \(0.473990\pi\)
−0.903946 + 0.427646i \(0.859343\pi\)
\(642\) −15.4781 + 22.2689i −0.610872 + 0.878884i
\(643\) 6.49542 6.49542i 0.256154 0.256154i −0.567334 0.823488i \(-0.692025\pi\)
0.823488 + 0.567334i \(0.192025\pi\)
\(644\) −19.3016 + 4.65043i −0.760591 + 0.183253i
\(645\) 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 −0.508015 0.861348i \(-0.669621\pi\)
0.999957 + 0.00928034i \(0.00295406\pi\)
\(648\) −8.10325 + 3.91630i −0.318326 + 0.153847i
\(649\) −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 −0.357543 0.933897i \(-0.616385\pi\)
0.630007 + 0.776590i \(0.283052\pi\)
\(654\) −5.65553 6.69275i −0.221149 0.261707i
\(655\) −2.09877 7.83271i −0.0820056 0.306049i
\(656\) 0.427682 1.59613i 0.0166982 0.0623185i
\(657\) −0.479488 5.07506i −0.0187066 0.197997i
\(658\) −25.0737 7.40510i −0.977473 0.288681i
\(659\) 9.01704i 0.351254i 0.984457 + 0.175627i \(0.0561953\pi\)
−0.984457 + 0.175627i \(0.943805\pi\)
\(660\) 1.02732 + 5.71042i 0.0399885 + 0.222278i
\(661\) 28.5433 7.64816i 1.11021 0.297479i 0.343293 0.939228i \(-0.388458\pi\)
0.766914 + 0.641749i \(0.221791\pi\)
\(662\) 7.16350 12.4075i 0.278417 0.482233i
\(663\) −7.16074 + 24.1183i −0.278100 + 0.936679i
\(664\) 5.89924 0.228935
\(665\) 15.8239 + 4.67332i 0.613623 + 0.181224i
\(666\) −14.2155 + 17.1819i −0.550839 + 0.665785i
\(667\) −15.3716 + 8.87480i −0.595191 + 0.343633i
\(668\) 10.3040 2.76095i 0.398673 0.106824i
\(669\) −20.1323 1.69104i −0.778359 0.0653796i
\(670\) −5.37975 + 20.0775i −0.207838 + 0.775662i
\(671\) 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 \(0.856053\pi\)
\(674\) 1.24182 + 0.332745i 0.0478332 + 0.0128169i
\(675\) 7.43346 0.0773078i 0.286114 0.00297558i
\(676\) 1.47850 + 12.9157i 0.0568655 + 0.496756i
\(677\) 35.2952 20.3777i 1.35650 0.783178i 0.367354 0.930081i \(-0.380264\pi\)
0.989151 + 0.146903i \(0.0469304\pi\)
\(678\) −7.98476 16.9696i −0.306653 0.651712i
\(679\) 16.4278 + 10.0487i 0.630443 + 0.385635i
\(680\) −7.61122 −0.291877
\(681\) 13.2135 + 9.18410i 0.506343 + 0.351935i
\(682\) 3.55913 + 13.2828i 0.136286 + 0.508626i
\(683\) −8.73532 32.6006i −0.334248 1.24743i −0.904683 0.426086i \(-0.859892\pi\)
0.570435 0.821343i \(-0.306775\pi\)
\(684\) 8.07216 5.73600i 0.308647 0.219322i
\(685\) −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
\(689\) 28.4470 18.6615i 1.08374 0.710945i
\(690\) −18.7560 + 15.8492i −0.714027 + 0.603370i
\(691\) −12.4528 3.33672i −0.473728 0.126935i 0.0140528 0.999901i \(-0.495527\pi\)
−0.487781 + 0.872966i \(0.662193\pi\)
\(692\) 14.8030i 0.562725i
\(693\) −4.56875 13.3112i −0.173552 0.505650i
\(694\) 15.5133 15.5133i 0.588877 0.588877i
\(695\) 6.33312 23.6355i 0.240229 0.896547i
\(696\) −0.342915 + 4.08248i −0.0129982 + 0.154746i
\(697\) −6.43025 + 1.72298i −0.243563 + 0.0652626i
\(698\) 21.9694 12.6841i 0.831556 0.480099i
\(699\) 13.6181 37.8229i 0.515084 1.43059i
\(700\) 2.74353 2.60774i 0.103696 0.0985632i
\(701\) −7.08221 −0.267492 −0.133746 0.991016i \(-0.542701\pi\)
−0.133746 + 0.991016i \(0.542701\pi\)
\(702\) 18.3821 + 3.61939i 0.693786 + 0.136605i
\(703\) 12.2683 21.2494i 0.462709 0.801435i
\(704\) 1.71267 0.458908i 0.0645486 0.0172957i
\(705\) −31.8249 + 5.72540i −1.19859 + 0.215631i
\(706\) 22.9825i 0.864957i
\(707\) 6.26861 + 1.85133i 0.235755 + 0.0696265i
\(708\) −19.7916 + 9.31263i −0.743814 + 0.349990i
\(709\) −6.52166 + 24.3392i −0.244926 + 0.914076i 0.728495 + 0.685052i \(0.240220\pi\)
−0.973421 + 0.229025i \(0.926446\pi\)
\(710\) 1.06877 + 3.98869i 0.0401101 + 0.149693i
\(711\) 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
\(717\) −1.08898 + 12.9646i −0.0406688 + 0.484172i
\(718\) 10.6222 18.3982i 0.396416 0.686613i
\(719\) 8.08257 + 13.9994i 0.301429 + 0.522090i 0.976460 0.215699i \(-0.0692031\pi\)
−0.675031 + 0.737789i \(0.735870\pi\)
\(720\) 0.533117 + 5.64269i 0.0198681 + 0.210291i
\(721\) −5.55900 5.84848i −0.207028 0.217809i
\(722\) 5.73058 5.73058i 0.213270 0.213270i
\(723\) 29.8640 + 20.7571i 1.11066 + 0.771965i
\(724\) 9.62735 16.6751i 0.357798 0.619724i
\(725\) 1.69197 2.93058i 0.0628383 0.108839i
\(726\) 7.76614 11.1734i 0.288228 0.414685i
\(727\) 13.8986i 0.515470i 0.966216 + 0.257735i \(0.0829762\pi\)
−0.966216 + 0.257735i \(0.917024\pi\)
\(728\) 8.10644 5.02848i 0.300445 0.186368i
\(729\) 13.0108 23.6584i 0.481881 0.876237i
\(730\) −3.10091 0.830885i −0.114770 0.0307524i
\(731\) −4.04100 2.33307i −0.149462 0.0862917i
\(732\) 15.7819 13.3361i 0.583314 0.492915i
\(733\) 50.2347 + 13.4604i 1.85546 + 0.497170i 0.999793 0.0203527i \(-0.00647891\pi\)
0.855670 + 0.517522i \(0.173146\pi\)
\(734\) 17.3321 + 17.3321i 0.639740 + 0.639740i
\(735\) 14.0105 18.1218i 0.516786 0.668433i
\(736\) 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
\(739\) −39.6342 + 10.6200i −1.45797 + 0.390662i −0.898788 0.438384i \(-0.855551\pi\)
−0.559181 + 0.829045i \(0.688884\pi\)
\(740\) 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 \(0.953116\pi\)
\(744\) 2.37849 + 13.2209i 0.0871997 + 0.484703i
\(745\) 2.83607 + 1.63741i 0.103906 + 0.0599899i
\(746\) −17.2929 + 4.63361i −0.633137 + 0.169648i
\(747\) −14.4264 + 10.2513i −0.527834 + 0.375074i
\(748\) −5.05096 5.05096i −0.184681 0.184681i
\(749\) −28.5400 30.0262i −1.04283 1.09714i
\(750\) 7.12858 19.7989i 0.260299 0.722953i
\(751\) −13.1524 + 7.59356i −0.479939 + 0.277093i −0.720391 0.693568i \(-0.756038\pi\)
0.240452 + 0.970661i \(0.422704\pi\)
\(752\) 2.55755 + 9.54491i 0.0932642 + 0.348067i
\(753\) −2.73132 3.23224i −0.0995349 0.117789i
\(754\) 5.67715 6.36411i 0.206749 0.231767i
\(755\) 9.94193i 0.361824i
\(756\) −3.35897 13.3311i −0.122165 0.484846i
\(757\) 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
\(759\) −22.9647 1.92896i −0.833566 0.0700167i
\(760\) −1.61406 6.02375i −0.0585480 0.218504i
\(761\) 11.6954 + 3.13377i 0.423958 + 0.113599i 0.464489 0.885579i \(-0.346238\pi\)
−0.0405307 + 0.999178i \(0.512905\pi\)
\(762\) 14.1626 + 30.0989i 0.513055 + 1.09037i
\(763\) 11.7575 6.39611i 0.425649 0.231555i
\(764\) 15.2439 0.551506
\(765\) 18.6130 13.2262i 0.672954 0.478195i
\(766\) 18.4072 + 10.6274i 0.665078 + 0.383983i
\(767\) 44.5808 + 9.26047i 1.60972 + 0.334376i
\(768\) 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
\(772\) 20.2766 + 5.43309i 0.729770 + 0.195541i
\(773\) −7.82723 + 2.09730i −0.281526 + 0.0754346i −0.396819 0.917897i \(-0.629886\pi\)
0.115293 + 0.993332i \(0.463219\pi\)
\(774\) −1.44661 + 3.15927i