Properties

Label 225.2.q.a.106.16
Level $225$
Weight $2$
Character 225.106
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 106.16
Character \(\chi\) \(=\) 225.106
Dual form 225.2.q.a.121.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.322170 + 0.0684793i) q^{2} +(-0.519845 - 1.65220i) q^{3} +(-1.72799 - 0.769349i) q^{4} +(-1.71956 + 1.42937i) q^{5} +(-0.0543370 - 0.567887i) q^{6} +(-1.22023 + 2.11349i) q^{7} +(-1.03695 - 0.753387i) q^{8} +(-2.45952 + 1.71778i) q^{9} +O(q^{10})\) \(q+(0.322170 + 0.0684793i) q^{2} +(-0.519845 - 1.65220i) q^{3} +(-1.72799 - 0.769349i) q^{4} +(-1.71956 + 1.42937i) q^{5} +(-0.0543370 - 0.567887i) q^{6} +(-1.22023 + 2.11349i) q^{7} +(-1.03695 - 0.753387i) q^{8} +(-2.45952 + 1.71778i) q^{9} +(-0.651873 + 0.342746i) q^{10} +(-1.65447 - 0.351668i) q^{11} +(-0.372832 + 3.25492i) q^{12} +(2.11839 - 0.450278i) q^{13} +(-0.537850 + 0.597343i) q^{14} +(3.25551 + 2.09801i) q^{15} +(2.24886 + 2.49761i) q^{16} +(-3.09482 - 2.24852i) q^{17} +(-0.910015 + 0.384989i) q^{18} +(-4.15077 - 3.01571i) q^{19} +(4.07107 - 1.14699i) q^{20} +(4.12624 + 0.917366i) q^{21} +(-0.508937 - 0.226593i) q^{22} +(-5.83819 + 6.48397i) q^{23} +(-0.705692 + 2.10489i) q^{24} +(0.913787 - 4.91579i) q^{25} +0.713316 q^{26} +(4.11668 + 3.17064i) q^{27} +(3.73455 - 2.71331i) q^{28} +(-0.606373 - 5.76925i) q^{29} +(0.905158 + 0.898849i) q^{30} +(0.743462 - 7.07356i) q^{31} +(1.83522 + 3.17869i) q^{32} +(0.279041 + 2.91632i) q^{33} +(-0.843080 - 0.936336i) q^{34} +(-0.922715 - 5.37844i) q^{35} +(5.57159 - 1.07606i) q^{36} +(2.56039 - 7.88008i) q^{37} +(-1.13074 - 1.25581i) q^{38} +(-1.84518 - 3.26593i) q^{39} +(2.85997 - 0.186690i) q^{40} +(-4.23841 + 0.900902i) q^{41} +(1.26653 + 0.578109i) q^{42} +(-3.28981 + 5.69811i) q^{43} +(2.58834 + 1.88054i) q^{44} +(1.77396 - 6.46939i) q^{45} +(-2.32491 + 1.68914i) q^{46} +(0.832694 + 7.92255i) q^{47} +(2.95750 - 5.01394i) q^{48} +(0.522100 + 0.904304i) q^{49} +(0.631024 - 1.52114i) q^{50} +(-2.10617 + 6.28214i) q^{51} +(-4.00697 - 0.851708i) q^{52} +(-2.04603 + 1.48652i) q^{53} +(1.10915 + 1.30339i) q^{54} +(3.34762 - 1.76013i) q^{55} +(2.85759 - 1.27228i) q^{56} +(-2.82480 + 8.42560i) q^{57} +(0.199719 - 1.90020i) q^{58} +(0.942892 - 0.200418i) q^{59} +(-4.01139 - 6.12995i) q^{60} +(8.52867 + 1.81282i) q^{61} +(0.723913 - 2.22798i) q^{62} +(-0.629334 - 7.29425i) q^{63} +(-1.70356 - 5.24301i) q^{64} +(-2.99909 + 3.80225i) q^{65} +(-0.109809 + 0.958658i) q^{66} +(-0.353406 + 3.36243i) q^{67} +(3.61791 + 6.26641i) q^{68} +(13.7478 + 6.27520i) q^{69} +(0.0710407 - 1.79596i) q^{70} +(-0.529305 + 0.384563i) q^{71} +(3.84454 + 0.0717278i) q^{72} +(3.37004 + 10.3719i) q^{73} +(1.36450 - 2.36339i) q^{74} +(-8.59689 + 1.04569i) q^{75} +(4.85234 + 8.40450i) q^{76} +(2.76207 - 3.06759i) q^{77} +(-0.370814 - 1.17854i) q^{78} +(-0.658241 - 6.26274i) q^{79} +(-7.43708 - 1.08034i) q^{80} +(3.09850 - 8.44981i) q^{81} -1.42718 q^{82} +(-13.0700 + 5.81913i) q^{83} +(-6.42431 - 4.75972i) q^{84} +(8.53571 - 0.557185i) q^{85} +(-1.45008 + 1.61048i) q^{86} +(-9.21673 + 4.00097i) q^{87} +(1.45065 + 1.61111i) q^{88} +(-2.96245 - 9.11749i) q^{89} +(1.01454 - 1.96276i) q^{90} +(-1.63326 + 5.02664i) q^{91} +(15.0768 - 6.71261i) q^{92} +(-12.0734 + 2.44881i) q^{93} +(-0.274262 + 2.60943i) q^{94} +(11.4481 - 0.747296i) q^{95} +(4.29780 - 4.68457i) q^{96} +(0.161080 + 1.53258i) q^{97} +(0.106279 + 0.327092i) q^{98} +(4.67328 - 1.97707i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.322170 + 0.0684793i 0.227808 + 0.0484222i 0.320401 0.947282i \(-0.396182\pi\)
−0.0925930 + 0.995704i \(0.529516\pi\)
\(3\) −0.519845 1.65220i −0.300133 0.953897i
\(4\) −1.72799 0.769349i −0.863994 0.384675i
\(5\) −1.71956 + 1.42937i −0.769012 + 0.639235i
\(6\) −0.0543370 0.567887i −0.0221830 0.231839i
\(7\) −1.22023 + 2.11349i −0.461202 + 0.798825i −0.999021 0.0442351i \(-0.985915\pi\)
0.537819 + 0.843060i \(0.319248\pi\)
\(8\) −1.03695 0.753387i −0.366616 0.266362i
\(9\) −2.45952 + 1.71778i −0.819841 + 0.572592i
\(10\) −0.651873 + 0.342746i −0.206140 + 0.108386i
\(11\) −1.65447 0.351668i −0.498840 0.106032i −0.0483813 0.998829i \(-0.515406\pi\)
−0.450459 + 0.892797i \(0.648740\pi\)
\(12\) −0.372832 + 3.25492i −0.107627 + 0.939615i
\(13\) 2.11839 0.450278i 0.587536 0.124885i 0.0954545 0.995434i \(-0.469570\pi\)
0.492081 + 0.870549i \(0.336236\pi\)
\(14\) −0.537850 + 0.597343i −0.143746 + 0.159647i
\(15\) 3.25551 + 2.09801i 0.840570 + 0.541703i
\(16\) 2.24886 + 2.49761i 0.562216 + 0.624404i
\(17\) −3.09482 2.24852i −0.750604 0.545346i 0.145410 0.989372i \(-0.453550\pi\)
−0.896014 + 0.444025i \(0.853550\pi\)
\(18\) −0.910015 + 0.384989i −0.214493 + 0.0907427i
\(19\) −4.15077 3.01571i −0.952252 0.691851i −0.000913382 1.00000i \(-0.500291\pi\)
−0.951338 + 0.308148i \(0.900291\pi\)
\(20\) 4.07107 1.14699i 0.910318 0.256476i
\(21\) 4.12624 + 0.917366i 0.900419 + 0.200186i
\(22\) −0.508937 0.226593i −0.108506 0.0483098i
\(23\) −5.83819 + 6.48397i −1.21735 + 1.35200i −0.299987 + 0.953943i \(0.596982\pi\)
−0.917360 + 0.398058i \(0.869684\pi\)
\(24\) −0.705692 + 2.10489i −0.144049 + 0.429658i
\(25\) 0.913787 4.91579i 0.182757 0.983158i
\(26\) 0.713316 0.139893
\(27\) 4.11668 + 3.17064i 0.792255 + 0.610190i
\(28\) 3.73455 2.71331i 0.705763 0.512767i
\(29\) −0.606373 5.76925i −0.112601 1.07132i −0.894239 0.447591i \(-0.852282\pi\)
0.781638 0.623732i \(-0.214384\pi\)
\(30\) 0.905158 + 0.898849i 0.165258 + 0.164107i
\(31\) 0.743462 7.07356i 0.133530 1.27045i −0.698456 0.715653i \(-0.746129\pi\)
0.831986 0.554797i \(-0.187204\pi\)
\(32\) 1.83522 + 3.17869i 0.324424 + 0.561918i
\(33\) 0.279041 + 2.91632i 0.0485749 + 0.507666i
\(34\) −0.843080 0.936336i −0.144587 0.160580i
\(35\) −0.922715 5.37844i −0.155967 0.909122i
\(36\) 5.57159 1.07606i 0.928599 0.179344i
\(37\) 2.56039 7.88008i 0.420926 1.29548i −0.485916 0.874006i \(-0.661514\pi\)
0.906842 0.421472i \(-0.138486\pi\)
\(38\) −1.13074 1.25581i −0.183430 0.203720i
\(39\) −1.84518 3.26593i −0.295466 0.522967i
\(40\) 2.85997 0.186690i 0.452200 0.0295183i
\(41\) −4.23841 + 0.900902i −0.661928 + 0.140697i −0.526613 0.850105i \(-0.676538\pi\)
−0.135316 + 0.990803i \(0.543205\pi\)
\(42\) 1.26653 + 0.578109i 0.195430 + 0.0892042i
\(43\) −3.28981 + 5.69811i −0.501691 + 0.868954i 0.498307 + 0.867001i \(0.333955\pi\)
−0.999998 + 0.00195353i \(0.999378\pi\)
\(44\) 2.58834 + 1.88054i 0.390207 + 0.283502i
\(45\) 1.77396 6.46939i 0.264446 0.964400i
\(46\) −2.32491 + 1.68914i −0.342789 + 0.249051i
\(47\) 0.832694 + 7.92255i 0.121461 + 1.15562i 0.870179 + 0.492735i \(0.164003\pi\)
−0.748718 + 0.662888i \(0.769330\pi\)
\(48\) 2.95750 5.01394i 0.426878 0.723700i
\(49\) 0.522100 + 0.904304i 0.0745857 + 0.129186i
\(50\) 0.631024 1.52114i 0.0892403 0.215122i
\(51\) −2.10617 + 6.28214i −0.294923 + 0.879676i
\(52\) −4.00697 0.851708i −0.555667 0.118111i
\(53\) −2.04603 + 1.48652i −0.281043 + 0.204190i −0.719372 0.694625i \(-0.755570\pi\)
0.438329 + 0.898815i \(0.355570\pi\)
\(54\) 1.10915 + 1.30339i 0.150936 + 0.177369i
\(55\) 3.34762 1.76013i 0.451393 0.237336i
\(56\) 2.85759 1.27228i 0.381861 0.170015i
\(57\) −2.82480 + 8.42560i −0.374153 + 1.11600i
\(58\) 0.199719 1.90020i 0.0262244 0.249509i
\(59\) 0.942892 0.200418i 0.122754 0.0260922i −0.146125 0.989266i \(-0.546680\pi\)
0.268879 + 0.963174i \(0.413347\pi\)
\(60\) −4.01139 6.12995i −0.517868 0.791374i
\(61\) 8.52867 + 1.81282i 1.09198 + 0.232108i 0.718499 0.695528i \(-0.244829\pi\)
0.373485 + 0.927636i \(0.378163\pi\)
\(62\) 0.723913 2.22798i 0.0919371 0.282953i
\(63\) −0.629334 7.29425i −0.0792886 0.918990i
\(64\) −1.70356 5.24301i −0.212945 0.655376i
\(65\) −2.99909 + 3.80225i −0.371991 + 0.471611i
\(66\) −0.109809 + 0.958658i −0.0135165 + 0.118003i
\(67\) −0.353406 + 3.36243i −0.0431754 + 0.410787i 0.951494 + 0.307668i \(0.0995487\pi\)
−0.994669 + 0.103118i \(0.967118\pi\)
\(68\) 3.61791 + 6.26641i 0.438737 + 0.759914i
\(69\) 13.7478 + 6.27520i 1.65504 + 0.755445i
\(70\) 0.0710407 1.79596i 0.00849099 0.214658i
\(71\) −0.529305 + 0.384563i −0.0628170 + 0.0456392i −0.618751 0.785587i \(-0.712361\pi\)
0.555934 + 0.831227i \(0.312361\pi\)
\(72\) 3.84454 + 0.0717278i 0.453084 + 0.00845320i
\(73\) 3.37004 + 10.3719i 0.394434 + 1.21394i 0.929402 + 0.369070i \(0.120324\pi\)
−0.534968 + 0.844872i \(0.679676\pi\)
\(74\) 1.36450 2.36339i 0.158620 0.274738i
\(75\) −8.59689 + 1.04569i −0.992683 + 0.120746i
\(76\) 4.85234 + 8.40450i 0.556602 + 0.964062i
\(77\) 2.76207 3.06759i 0.314767 0.349584i
\(78\) −0.370814 1.17854i −0.0419864 0.133443i
\(79\) −0.658241 6.26274i −0.0740579 0.704613i −0.967058 0.254557i \(-0.918070\pi\)
0.893000 0.450057i \(-0.148596\pi\)
\(80\) −7.43708 1.08034i −0.831491 0.120786i
\(81\) 3.09850 8.44981i 0.344277 0.938868i
\(82\) −1.42718 −0.157606
\(83\) −13.0700 + 5.81913i −1.43462 + 0.638732i −0.969181 0.246350i \(-0.920769\pi\)
−0.465435 + 0.885082i \(0.654102\pi\)
\(84\) −6.42431 4.75972i −0.700950 0.519328i
\(85\) 8.53571 0.557185i 0.925828 0.0604352i
\(86\) −1.45008 + 1.61048i −0.156366 + 0.173662i
\(87\) −9.21673 + 4.00097i −0.988137 + 0.428949i
\(88\) 1.45065 + 1.61111i 0.154640 + 0.171745i
\(89\) −2.96245 9.11749i −0.314019 0.966452i −0.976156 0.217069i \(-0.930350\pi\)
0.662137 0.749383i \(-0.269650\pi\)
\(90\) 1.01454 1.96276i 0.106941 0.206893i
\(91\) −1.63326 + 5.02664i −0.171212 + 0.526935i
\(92\) 15.0768 6.71261i 1.57186 0.699838i
\(93\) −12.0734 + 2.44881i −1.25196 + 0.253930i
\(94\) −0.274262 + 2.60943i −0.0282880 + 0.269142i
\(95\) 11.4481 0.747296i 1.17455 0.0766709i
\(96\) 4.29780 4.68457i 0.438642 0.478117i
\(97\) 0.161080 + 1.53258i 0.0163552 + 0.155609i 0.999651 0.0264034i \(-0.00840543\pi\)
−0.983296 + 0.182013i \(0.941739\pi\)
\(98\) 0.106279 + 0.327092i 0.0107358 + 0.0330413i
\(99\) 4.67328 1.97707i 0.469682 0.198703i
\(100\) −5.36097 + 7.79140i −0.536097 + 0.779140i
\(101\) 4.44731 7.70297i 0.442524 0.766474i −0.555352 0.831616i \(-0.687416\pi\)
0.997876 + 0.0651410i \(0.0207497\pi\)
\(102\) −1.10874 + 1.87969i −0.109782 + 0.186117i
\(103\) −9.05359 4.03092i −0.892076 0.397178i −0.0910775 0.995844i \(-0.529031\pi\)
−0.800999 + 0.598666i \(0.795698\pi\)
\(104\) −2.53589 1.12905i −0.248665 0.110713i
\(105\) −8.40658 + 4.32046i −0.820398 + 0.421634i
\(106\) −0.760964 + 0.338803i −0.0739113 + 0.0329074i
\(107\) 0.789838 0.0763565 0.0381783 0.999271i \(-0.487845\pi\)
0.0381783 + 0.999271i \(0.487845\pi\)
\(108\) −4.67423 8.64599i −0.449778 0.831961i
\(109\) −5.37002 + 16.5272i −0.514354 + 1.58302i 0.270100 + 0.962832i \(0.412943\pi\)
−0.784454 + 0.620187i \(0.787057\pi\)
\(110\) 1.19903 0.337819i 0.114323 0.0322098i
\(111\) −14.3505 0.133857i −1.36209 0.0127051i
\(112\) −8.02281 + 1.70530i −0.758084 + 0.161136i
\(113\) −2.12606 + 0.451907i −0.200003 + 0.0425119i −0.306824 0.951766i \(-0.599266\pi\)
0.106821 + 0.994278i \(0.465933\pi\)
\(114\) −1.48704 + 2.52103i −0.139274 + 0.236116i
\(115\) 0.771124 19.4945i 0.0719077 1.81788i
\(116\) −3.39077 + 10.4357i −0.314825 + 0.968931i
\(117\) −4.43675 + 4.74639i −0.410178 + 0.438804i
\(118\) 0.317496 0.0292279
\(119\) 8.52861 3.79718i 0.781816 0.348087i
\(120\) −1.79519 4.62818i −0.163878 0.422493i
\(121\) −7.43541 3.31046i −0.675947 0.300951i
\(122\) 2.62354 + 1.16807i 0.237524 + 0.105752i
\(123\) 3.69179 + 6.53437i 0.332877 + 0.589184i
\(124\) −6.72673 + 11.6510i −0.604079 + 1.04629i
\(125\) 5.45518 + 9.75915i 0.487926 + 0.872885i
\(126\) 0.296753 2.39308i 0.0264369 0.213193i
\(127\) −4.55776 14.0274i −0.404436 1.24473i −0.921365 0.388698i \(-0.872925\pi\)
0.516929 0.856028i \(-0.327075\pi\)
\(128\) −0.957127 9.10645i −0.0845989 0.804904i
\(129\) 11.1246 + 2.47328i 0.979467 + 0.217760i
\(130\) −1.22659 + 1.01959i −0.107579 + 0.0894243i
\(131\) 0.220445 2.09740i 0.0192604 0.183250i −0.980662 0.195709i \(-0.937299\pi\)
0.999922 + 0.0124587i \(0.00396583\pi\)
\(132\) 1.76149 5.25404i 0.153318 0.457306i
\(133\) 11.4386 5.09277i 0.991848 0.441599i
\(134\) −0.344114 + 1.05907i −0.0297269 + 0.0914900i
\(135\) −11.6109 + 0.432150i −0.999308 + 0.0371936i
\(136\) 1.51516 + 4.66319i 0.129924 + 0.399866i
\(137\) 3.08638 + 3.42777i 0.263687 + 0.292854i 0.860420 0.509586i \(-0.170201\pi\)
−0.596733 + 0.802440i \(0.703535\pi\)
\(138\) 3.99939 + 2.96311i 0.340451 + 0.252237i
\(139\) −2.67827 + 2.97452i −0.227168 + 0.252295i −0.845944 0.533272i \(-0.820962\pi\)
0.618776 + 0.785567i \(0.287629\pi\)
\(140\) −2.54346 + 10.0038i −0.214961 + 0.845472i
\(141\) 12.6568 5.49428i 1.06589 0.462702i
\(142\) −0.196861 + 0.0876480i −0.0165202 + 0.00735525i
\(143\) −3.66315 −0.306328
\(144\) −9.82147 2.27990i −0.818456 0.189992i
\(145\) 9.28911 + 9.05385i 0.771418 + 0.751882i
\(146\) 0.375464 + 3.57230i 0.0310736 + 0.295645i
\(147\) 1.22268 1.33271i 0.100845 0.109920i
\(148\) −10.4869 + 11.6468i −0.862015 + 0.957364i
\(149\) −6.88364 11.9228i −0.563929 0.976755i −0.997148 0.0754658i \(-0.975956\pi\)
0.433219 0.901289i \(-0.357378\pi\)
\(150\) −2.84127 0.251819i −0.231988 0.0205609i
\(151\) −10.1492 + 17.5789i −0.825931 + 1.43055i 0.0752750 + 0.997163i \(0.476017\pi\)
−0.901206 + 0.433391i \(0.857317\pi\)
\(152\) 2.03213 + 6.25427i 0.164828 + 0.507288i
\(153\) 11.4742 + 0.214075i 0.927637 + 0.0173069i
\(154\) 1.09992 0.799139i 0.0886341 0.0643965i
\(155\) 8.83233 + 13.2261i 0.709430 + 1.06235i
\(156\) 0.675814 + 7.06307i 0.0541084 + 0.565498i
\(157\) −4.22601 7.31966i −0.337272 0.584172i 0.646647 0.762790i \(-0.276171\pi\)
−0.983919 + 0.178618i \(0.942838\pi\)
\(158\) 0.216803 2.06274i 0.0172479 0.164103i
\(159\) 3.51965 + 2.60768i 0.279127 + 0.206802i
\(160\) −7.69931 2.84275i −0.608684 0.224739i
\(161\) −6.57991 20.2509i −0.518570 1.59599i
\(162\) 1.57688 2.51009i 0.123891 0.197211i
\(163\) 2.21761 6.82510i 0.173696 0.534583i −0.825875 0.563853i \(-0.809318\pi\)
0.999572 + 0.0292704i \(0.00931840\pi\)
\(164\) 8.01702 + 1.70407i 0.626024 + 0.133066i
\(165\) −4.64834 4.61594i −0.361872 0.359350i
\(166\) −4.60924 + 0.979724i −0.357746 + 0.0760413i
\(167\) 0.633238 6.02486i 0.0490014 0.466217i −0.942316 0.334725i \(-0.891357\pi\)
0.991317 0.131492i \(-0.0419768\pi\)
\(168\) −3.58756 4.05991i −0.276786 0.313229i
\(169\) −7.59126 + 3.37985i −0.583943 + 0.259988i
\(170\) 2.78810 + 0.405011i 0.213838 + 0.0310629i
\(171\) 15.3892 + 0.287117i 1.17684 + 0.0219564i
\(172\) 10.0686 7.31525i 0.767722 0.557783i
\(173\) 19.0929 + 4.05833i 1.45161 + 0.308549i 0.865184 0.501454i \(-0.167201\pi\)
0.586426 + 0.810003i \(0.300535\pi\)
\(174\) −3.24333 + 0.657835i −0.245876 + 0.0498703i
\(175\) 9.27446 + 7.92965i 0.701083 + 0.599425i
\(176\) −2.84234 4.92307i −0.214249 0.371090i
\(177\) −0.821288 1.45366i −0.0617318 0.109264i
\(178\) −0.330053 3.14024i −0.0247385 0.235371i
\(179\) −3.88878 + 2.82536i −0.290661 + 0.211178i −0.723554 0.690268i \(-0.757493\pi\)
0.432893 + 0.901445i \(0.357493\pi\)
\(180\) −8.04260 + 9.81424i −0.599460 + 0.731510i
\(181\) 4.50290 + 3.27155i 0.334698 + 0.243172i 0.742421 0.669933i \(-0.233677\pi\)
−0.407724 + 0.913105i \(0.633677\pi\)
\(182\) −0.870406 + 1.50759i −0.0645188 + 0.111750i
\(183\) −1.43844 15.0334i −0.106333 1.11130i
\(184\) 10.9388 2.32512i 0.806422 0.171410i
\(185\) 6.86082 + 17.2100i 0.504417 + 1.26531i
\(186\) −4.05738 0.0378461i −0.297502 0.00277501i
\(187\) 4.32954 + 4.80845i 0.316608 + 0.351628i
\(188\) 4.65633 14.3307i 0.339598 1.04517i
\(189\) −11.7244 + 4.83167i −0.852825 + 0.351452i
\(190\) 3.73940 + 0.543200i 0.271284 + 0.0394079i
\(191\) −15.8456 17.5983i −1.14655 1.27337i −0.956545 0.291583i \(-0.905818\pi\)
−0.190000 0.981784i \(-0.560849\pi\)
\(192\) −7.77690 + 5.54017i −0.561250 + 0.399827i
\(193\) −0.637107 1.10350i −0.0458600 0.0794318i 0.842184 0.539190i \(-0.181269\pi\)
−0.888044 + 0.459758i \(0.847936\pi\)
\(194\) −0.0530545 + 0.504780i −0.00380909 + 0.0362411i
\(195\) 7.84114 + 2.97851i 0.561515 + 0.213296i
\(196\) −0.206457 1.96430i −0.0147469 0.140307i
\(197\) −7.96236 + 5.78499i −0.567295 + 0.412164i −0.834122 0.551581i \(-0.814025\pi\)
0.266827 + 0.963745i \(0.414025\pi\)
\(198\) 1.64098 0.316928i 0.116619 0.0225231i
\(199\) −18.5853 −1.31747 −0.658737 0.752373i \(-0.728909\pi\)
−0.658737 + 0.752373i \(0.728909\pi\)
\(200\) −4.65104 + 4.40898i −0.328878 + 0.311762i
\(201\) 5.73913 1.16405i 0.404807 0.0821056i
\(202\) 1.96028 2.17712i 0.137925 0.153181i
\(203\) 12.9332 + 5.75822i 0.907731 + 0.404148i
\(204\) 8.47260 9.23508i 0.593201 0.646585i
\(205\) 6.00048 7.60742i 0.419092 0.531325i
\(206\) −2.64076 1.91862i −0.183990 0.133677i
\(207\) 3.22116 25.9762i 0.223886 1.80547i
\(208\) 5.88859 + 4.27831i 0.408300 + 0.296647i
\(209\) 5.80678 + 6.44908i 0.401663 + 0.446092i
\(210\) −3.00421 + 0.816246i −0.207310 + 0.0563263i
\(211\) 1.47743 1.64086i 0.101711 0.112961i −0.690140 0.723676i \(-0.742451\pi\)
0.791851 + 0.610715i \(0.209118\pi\)
\(212\) 4.67916 0.994587i 0.321366 0.0683085i
\(213\) 0.910531 + 0.674604i 0.0623885 + 0.0462231i
\(214\) 0.254462 + 0.0540875i 0.0173946 + 0.00369735i
\(215\) −2.48770 14.5006i −0.169660 0.988934i
\(216\) −1.88006 6.38924i −0.127922 0.434733i
\(217\) 14.0427 + 10.2026i 0.953283 + 0.692600i
\(218\) −2.86183 + 4.95683i −0.193827 + 0.335719i
\(219\) 15.3846 10.9598i 1.03959 0.740593i
\(220\) −7.13880 + 0.465999i −0.481298 + 0.0314177i
\(221\) −7.56850 3.36971i −0.509112 0.226671i
\(222\) −4.61412 1.02583i −0.309679 0.0688495i
\(223\) 25.6468 + 5.45140i 1.71744 + 0.365053i 0.958275 0.285849i \(-0.0922755\pi\)
0.759162 + 0.650901i \(0.225609\pi\)
\(224\) −8.95752 −0.598499
\(225\) 6.19674 + 13.6602i 0.413116 + 0.910678i
\(226\) −0.715897 −0.0476208
\(227\) 7.25153 + 1.54136i 0.481301 + 0.102304i 0.442171 0.896931i \(-0.354208\pi\)
0.0391292 + 0.999234i \(0.487542\pi\)
\(228\) 11.3634 12.3861i 0.752562 0.820288i
\(229\) 18.6311 + 8.29511i 1.23118 + 0.548156i 0.916116 0.400914i \(-0.131307\pi\)
0.315064 + 0.949071i \(0.397974\pi\)
\(230\) 1.58341 6.22774i 0.104407 0.410645i
\(231\) −6.50411 2.96881i −0.427939 0.195334i
\(232\) −3.71770 + 6.43924i −0.244079 + 0.422757i
\(233\) 6.14372 + 4.46367i 0.402488 + 0.292425i 0.770554 0.637375i \(-0.219980\pi\)
−0.368065 + 0.929800i \(0.619980\pi\)
\(234\) −1.75442 + 1.22532i −0.114690 + 0.0801014i
\(235\) −12.7562 12.4331i −0.832120 0.811045i
\(236\) −1.78350 0.379094i −0.116096 0.0246769i
\(237\) −10.0051 + 4.34320i −0.649902 + 0.282121i
\(238\) 3.00769 0.639304i 0.194959 0.0414399i
\(239\) 10.8522 12.0526i 0.701969 0.779615i −0.281719 0.959497i \(-0.590905\pi\)
0.983688 + 0.179881i \(0.0575714\pi\)
\(240\) 2.08119 + 12.8491i 0.134340 + 0.829409i
\(241\) −9.82298 10.9095i −0.632754 0.702744i 0.338453 0.940983i \(-0.390097\pi\)
−0.971207 + 0.238239i \(0.923430\pi\)
\(242\) −2.16877 1.57570i −0.139414 0.101290i
\(243\) −15.5715 0.726738i −0.998913 0.0466203i
\(244\) −13.3427 9.69406i −0.854181 0.620599i
\(245\) −2.19037 0.808731i −0.139938 0.0516679i
\(246\) 0.741913 + 2.35798i 0.0473026 + 0.150340i
\(247\) −10.1509 4.51945i −0.645884 0.287566i
\(248\) −6.10006 + 6.77480i −0.387354 + 0.430200i
\(249\) 16.4087 + 18.5691i 1.03986 + 1.17677i
\(250\) 1.08920 + 3.51767i 0.0688867 + 0.222477i
\(251\) 17.7351 1.11943 0.559716 0.828685i \(-0.310910\pi\)
0.559716 + 0.828685i \(0.310910\pi\)
\(252\) −4.52435 + 13.0886i −0.285007 + 0.824501i
\(253\) 11.9393 8.67440i 0.750617 0.545355i
\(254\) −0.507790 4.83130i −0.0318616 0.303143i
\(255\) −5.35783 13.8130i −0.335520 0.865006i
\(256\) −0.837248 + 7.96588i −0.0523280 + 0.497868i
\(257\) −3.02034 5.23139i −0.188404 0.326325i 0.756314 0.654208i \(-0.226998\pi\)
−0.944718 + 0.327883i \(0.893665\pi\)
\(258\) 3.41464 + 1.55862i 0.212586 + 0.0970355i
\(259\) 13.5302 + 15.0268i 0.840728 + 0.933723i
\(260\) 8.10765 4.26289i 0.502815 0.264373i
\(261\) 11.4017 + 13.1480i 0.705745 + 0.813840i
\(262\) 0.214649 0.660622i 0.0132611 0.0408133i
\(263\) −6.77522 7.52465i −0.417778 0.463990i 0.497116 0.867684i \(-0.334392\pi\)
−0.914894 + 0.403695i \(0.867726\pi\)
\(264\) 1.90776 3.23430i 0.117415 0.199057i
\(265\) 1.39347 5.48071i 0.0856002 0.336677i
\(266\) 4.03390 0.857433i 0.247335 0.0525726i
\(267\) −13.5239 + 9.63424i −0.827648 + 0.589606i
\(268\) 3.19757 5.53835i 0.195323 0.338309i
\(269\) 21.9237 + 15.9285i 1.33671 + 0.971177i 0.999558 + 0.0297274i \(0.00946393\pi\)
0.337153 + 0.941450i \(0.390536\pi\)
\(270\) −3.77028 0.655881i −0.229452 0.0399156i
\(271\) −8.50805 + 6.18146i −0.516827 + 0.375497i −0.815407 0.578888i \(-0.803487\pi\)
0.298580 + 0.954385i \(0.403487\pi\)
\(272\) −1.34389 12.7863i −0.0814855 0.775282i
\(273\) 9.15405 + 0.0853863i 0.554029 + 0.00516781i
\(274\) 0.759606 + 1.31568i 0.0458895 + 0.0794829i
\(275\) −3.24055 + 7.81166i −0.195413 + 0.471061i
\(276\) −18.9281 21.4203i −1.13934 1.28935i
\(277\) −15.9055 3.38081i −0.955668 0.203133i −0.296419 0.955058i \(-0.595792\pi\)
−0.659249 + 0.751925i \(0.729126\pi\)
\(278\) −1.06655 + 0.774893i −0.0639674 + 0.0464750i
\(279\) 10.3222 + 18.6747i 0.617976 + 1.11802i
\(280\) −3.09524 + 6.27232i −0.184976 + 0.374843i
\(281\) −13.8705 + 6.17553i −0.827443 + 0.368401i −0.776357 0.630293i \(-0.782935\pi\)
−0.0510856 + 0.998694i \(0.516268\pi\)
\(282\) 4.45387 0.903364i 0.265224 0.0537945i
\(283\) 0.197779 1.88174i 0.0117568 0.111858i −0.987070 0.160292i \(-0.948756\pi\)
0.998826 + 0.0484340i \(0.0154231\pi\)
\(284\) 1.21050 0.257299i 0.0718297 0.0152679i
\(285\) −7.18591 18.5260i −0.425657 1.09739i
\(286\) −1.18016 0.250850i −0.0697841 0.0148331i
\(287\) 3.26777 10.0571i 0.192890 0.593655i
\(288\) −9.97404 4.66557i −0.587726 0.274921i
\(289\) −0.731209 2.25043i −0.0430123 0.132378i
\(290\) 2.37267 + 3.55299i 0.139328 + 0.208639i
\(291\) 2.44838 1.06284i 0.143527 0.0623047i
\(292\) 2.15624 20.5153i 0.126185 1.20057i
\(293\) −3.67099 6.35834i −0.214462 0.371458i 0.738644 0.674095i \(-0.235466\pi\)
−0.953106 + 0.302637i \(0.902133\pi\)
\(294\) 0.485173 0.345631i 0.0282959 0.0201576i
\(295\) −1.33489 + 1.69238i −0.0777203 + 0.0985339i
\(296\) −8.59174 + 6.24227i −0.499385 + 0.362824i
\(297\) −5.69589 6.69342i −0.330509 0.388392i
\(298\) −1.40123 4.31255i −0.0811713 0.249820i
\(299\) −9.44799 + 16.3644i −0.546391 + 0.946377i
\(300\) 15.6598 + 4.80707i 0.904120 + 0.277536i
\(301\) −8.02861 13.9060i −0.462761 0.801526i
\(302\) −4.47356 + 4.96839i −0.257424 + 0.285899i
\(303\) −15.0388 3.34349i −0.863954 0.192079i
\(304\) −1.80243 17.1489i −0.103376 0.983559i
\(305\) −17.2568 + 9.07338i −0.988120 + 0.519540i
\(306\) 3.68199 + 0.854716i 0.210485 + 0.0488608i
\(307\) 4.38216 0.250103 0.125051 0.992150i \(-0.460090\pi\)
0.125051 + 0.992150i \(0.460090\pi\)
\(308\) −7.13286 + 3.17576i −0.406433 + 0.180955i
\(309\) −1.95341 + 17.0538i −0.111126 + 0.970156i
\(310\) 1.93979 + 4.86588i 0.110173 + 0.276364i
\(311\) −11.9357 + 13.2559i −0.676810 + 0.751674i −0.979506 0.201413i \(-0.935447\pi\)
0.302696 + 0.953087i \(0.402113\pi\)
\(312\) −0.547147 + 4.77673i −0.0309761 + 0.270429i
\(313\) 10.9079 + 12.1145i 0.616554 + 0.684752i 0.967855 0.251510i \(-0.0809273\pi\)
−0.351301 + 0.936263i \(0.614261\pi\)
\(314\) −0.860246 2.64756i −0.0485465 0.149411i
\(315\) 11.5084 + 11.6434i 0.648424 + 0.656030i
\(316\) −3.68081 + 11.3284i −0.207061 + 0.637270i
\(317\) −19.2520 + 8.57156i −1.08130 + 0.481427i −0.868510 0.495671i \(-0.834922\pi\)
−0.212792 + 0.977098i \(0.568256\pi\)
\(318\) 0.955353 + 1.08114i 0.0535735 + 0.0606272i
\(319\) −1.02564 + 9.75827i −0.0574246 + 0.546358i
\(320\) 10.4236 + 6.58066i 0.582696 + 0.367870i
\(321\) −0.410593 1.30497i −0.0229171 0.0728363i
\(322\) −0.733082 6.97481i −0.0408530 0.388691i
\(323\) 6.06501 + 18.6662i 0.337466 + 1.03861i
\(324\) −11.8550 + 12.2173i −0.658612 + 0.678741i
\(325\) −0.277714 10.8250i −0.0154048 0.600464i
\(326\) 1.18182 2.04698i 0.0654551 0.113372i
\(327\) 30.0978 + 0.280743i 1.66441 + 0.0155251i
\(328\) 5.07374 + 2.25897i 0.280150 + 0.124731i
\(329\) −17.7603 7.90741i −0.979159 0.435950i
\(330\) −1.18146 1.80543i −0.0650371 0.0993856i
\(331\) −16.5483 + 7.36780i −0.909580 + 0.404971i −0.807542 0.589810i \(-0.799203\pi\)
−0.102037 + 0.994781i \(0.532536\pi\)
\(332\) 27.0617 1.48520
\(333\) 7.23886 + 23.7794i 0.396687 + 1.30310i
\(334\) 0.616588 1.89766i 0.0337382 0.103835i
\(335\) −4.19847 6.28706i −0.229387 0.343499i
\(336\) 6.98811 + 12.3688i 0.381233 + 0.674772i
\(337\) 3.61975 0.769402i 0.197180 0.0419120i −0.108263 0.994122i \(-0.534529\pi\)
0.305443 + 0.952210i \(0.401195\pi\)
\(338\) −2.67712 + 0.569040i −0.145616 + 0.0309517i
\(339\) 1.85186 + 3.27775i 0.100579 + 0.178023i
\(340\) −15.1783 5.60413i −0.823157 0.303927i
\(341\) −3.71757 + 11.4415i −0.201318 + 0.619593i
\(342\) 4.93828 + 1.14634i 0.267031 + 0.0619871i
\(343\) −19.6315 −1.06000
\(344\) 7.70424 3.43015i 0.415385 0.184941i
\(345\) −32.6097 + 8.86009i −1.75565 + 0.477011i
\(346\) 5.87326 + 2.61494i 0.315748 + 0.140580i
\(347\) −23.5571 10.4883i −1.26461 0.563041i −0.338739 0.940880i \(-0.610000\pi\)
−0.925871 + 0.377840i \(0.876667\pi\)
\(348\) 19.0045 + 0.177269i 1.01875 + 0.00950260i
\(349\) 15.6853 27.1678i 0.839616 1.45426i −0.0506002 0.998719i \(-0.516113\pi\)
0.890216 0.455538i \(-0.150553\pi\)
\(350\) 2.44493 + 3.18980i 0.130687 + 0.170502i
\(351\) 10.1484 + 4.86301i 0.541681 + 0.259568i
\(352\) −1.91846 5.90442i −0.102254 0.314707i
\(353\) 0.0104724 + 0.0996384i 0.000557391 + 0.00530322i 0.994797 0.101876i \(-0.0324846\pi\)
−0.994240 + 0.107180i \(0.965818\pi\)
\(354\) −0.165049 0.524566i −0.00877224 0.0278804i
\(355\) 0.360489 1.41785i 0.0191328 0.0752519i
\(356\) −1.89546 + 18.0341i −0.100459 + 0.955803i
\(357\) −10.7073 12.1170i −0.566688 0.641300i
\(358\) −1.44633 + 0.643946i −0.0764407 + 0.0340336i
\(359\) 4.79343 14.7527i 0.252988 0.778616i −0.741232 0.671249i \(-0.765758\pi\)
0.994219 0.107367i \(-0.0342419\pi\)
\(360\) −6.71346 + 5.37195i −0.353830 + 0.283126i
\(361\) 2.26305 + 6.96496i 0.119108 + 0.366577i
\(362\) 1.22666 + 1.36235i 0.0644720 + 0.0716034i
\(363\) −1.60427 + 14.0057i −0.0842025 + 0.735109i
\(364\) 6.68949 7.42943i 0.350624 0.389408i
\(365\) −20.6203 13.0181i −1.07932 0.681400i
\(366\) 0.566057 4.94182i 0.0295883 0.258313i
\(367\) −11.7943 + 5.25116i −0.615657 + 0.274108i −0.690779 0.723066i \(-0.742732\pi\)
0.0751217 + 0.997174i \(0.476065\pi\)
\(368\) −29.3238 −1.52861
\(369\) 8.87691 9.49642i 0.462114 0.494364i
\(370\) 1.03182 + 6.01438i 0.0536416 + 0.312673i
\(371\) −0.645146 6.13816i −0.0334943 0.318677i
\(372\) 22.7467 + 5.05716i 1.17936 + 0.262202i
\(373\) −0.154958 + 0.172099i −0.00802344 + 0.00891094i −0.747143 0.664663i \(-0.768575\pi\)
0.739120 + 0.673574i \(0.235242\pi\)
\(374\) 1.06557 + 1.84562i 0.0550993 + 0.0954347i
\(375\) 13.2882 14.0863i 0.686200 0.727413i
\(376\) 5.10529 8.84261i 0.263285 0.456023i
\(377\) −3.88230 11.9485i −0.199949 0.615379i
\(378\) −4.10812 + 0.753738i −0.211299 + 0.0387681i
\(379\) 4.51376 3.27944i 0.231856 0.168453i −0.465791 0.884895i \(-0.654230\pi\)
0.697647 + 0.716441i \(0.254230\pi\)
\(380\) −20.3571 7.51626i −1.04430 0.385576i
\(381\) −20.8066 + 14.8224i −1.06596 + 0.759374i
\(382\) −3.89984 6.75473i −0.199533 0.345602i
\(383\) 1.40274 13.3462i 0.0716768 0.681960i −0.898403 0.439173i \(-0.855272\pi\)
0.970080 0.242787i \(-0.0780616\pi\)
\(384\) −14.5481 + 6.31531i −0.742405 + 0.322277i
\(385\) −0.364821 + 9.22293i −0.0185930 + 0.470044i
\(386\) −0.129690 0.399143i −0.00660102 0.0203159i
\(387\) −1.69672 19.6658i −0.0862494 0.999668i
\(388\) 0.900742 2.77220i 0.0457282 0.140737i
\(389\) −33.2854 7.07503i −1.68764 0.358718i −0.738663 0.674075i \(-0.764543\pi\)
−0.948973 + 0.315356i \(0.897876\pi\)
\(390\) 2.32221 + 1.49654i 0.117590 + 0.0757803i
\(391\) 32.6475 6.93944i 1.65105 0.350943i
\(392\) 0.139900 1.33106i 0.00706601 0.0672286i
\(393\) −3.57991 + 0.726102i −0.180583 + 0.0366270i
\(394\) −2.96138 + 1.31849i −0.149192 + 0.0664247i
\(395\) 10.0837 + 9.82830i 0.507365 + 0.494515i
\(396\) −9.59642 0.179041i −0.482238 0.00899714i
\(397\) 22.7816 16.5518i 1.14338 0.830711i 0.155790 0.987790i \(-0.450208\pi\)
0.987586 + 0.157079i \(0.0502078\pi\)
\(398\) −5.98761 1.27271i −0.300132 0.0637950i
\(399\) −14.3606 16.2513i −0.718927 0.813583i
\(400\) 14.3327 8.77265i 0.716637 0.438632i
\(401\) −6.50887 11.2737i −0.325037 0.562981i 0.656483 0.754341i \(-0.272044\pi\)
−0.981520 + 0.191360i \(0.938710\pi\)
\(402\) 1.92869 + 0.0179902i 0.0961941 + 0.000897270i
\(403\) −1.61013 15.3193i −0.0802061 0.763110i
\(404\) −13.6112 + 9.88910i −0.677181 + 0.492001i
\(405\) 6.74987 + 18.9589i 0.335404 + 0.942074i
\(406\) 3.77236 + 2.74078i 0.187219 + 0.136023i
\(407\) −7.00725 + 12.1369i −0.347337 + 0.601605i
\(408\) 6.91687 4.92749i 0.342436 0.243947i
\(409\) −32.6846 + 6.94732i −1.61615 + 0.343523i −0.925229 0.379408i \(-0.876128\pi\)
−0.690920 + 0.722931i \(0.742794\pi\)
\(410\) 2.45412 2.03997i 0.121201 0.100747i
\(411\) 4.05892 6.88122i 0.200212 0.339425i
\(412\) 12.5433 + 13.9307i 0.617964 + 0.686318i
\(413\) −0.726959 + 2.23735i −0.0357713 + 0.110093i
\(414\) 2.81659 8.14815i 0.138428 0.400460i
\(415\) 14.1569 28.6882i 0.694936 1.40825i
\(416\) 5.31900 + 5.90735i 0.260786 + 0.289632i
\(417\) 6.30678 + 2.87874i 0.308844 + 0.140973i
\(418\) 1.42914 + 2.47534i 0.0699015 + 0.121073i
\(419\) −4.12688 + 39.2646i −0.201611 + 1.91820i 0.162249 + 0.986750i \(0.448125\pi\)
−0.363860 + 0.931454i \(0.618541\pi\)
\(420\) 17.8504 0.998109i 0.871011 0.0487027i
\(421\) −0.275383 2.62010i −0.0134214 0.127696i 0.985760 0.168161i \(-0.0537827\pi\)
−0.999181 + 0.0404650i \(0.987116\pi\)
\(422\) 0.588349 0.427460i 0.0286404 0.0208084i
\(423\) −15.6572 18.0553i −0.761279 0.877879i
\(424\) 3.24155 0.157424
\(425\) −13.8813 + 13.1588i −0.673340 + 0.638297i
\(426\) 0.247149 + 0.279689i 0.0119744 + 0.0135510i
\(427\) −14.2383 + 15.8132i −0.689039 + 0.765255i
\(428\) −1.36483 0.607661i −0.0659715 0.0293724i
\(429\) 1.90427 + 6.05226i 0.0919391 + 0.292206i
\(430\) 0.191530 4.84201i 0.00923641 0.233503i
\(431\) 27.7928 + 20.1926i 1.33873 + 0.972644i 0.999490 + 0.0319446i \(0.0101700\pi\)
0.339240 + 0.940700i \(0.389830\pi\)
\(432\) 1.33880 + 17.4122i 0.0644129 + 0.837745i
\(433\) −22.0022 15.9856i −1.05736 0.768217i −0.0837621 0.996486i \(-0.526694\pi\)
−0.973598 + 0.228269i \(0.926694\pi\)
\(434\) 3.82547 + 4.24862i 0.183629 + 0.203940i
\(435\) 10.1299 20.0541i 0.485690 0.961518i
\(436\) 21.9945 24.4274i 1.05335 1.16986i
\(437\) 43.7868 9.30717i 2.09461 0.445222i
\(438\) 5.70696 2.47738i 0.272689 0.118374i
\(439\) 14.6868 + 3.12178i 0.700965 + 0.148995i 0.544589 0.838703i \(-0.316686\pi\)
0.156376 + 0.987698i \(0.450019\pi\)
\(440\) −4.79737 0.696885i −0.228706 0.0332227i
\(441\) −2.83751 1.32730i −0.135119 0.0632050i
\(442\) −2.20759 1.60390i −0.105004 0.0762900i
\(443\) 5.24719 9.08840i 0.249301 0.431803i −0.714031 0.700114i \(-0.753132\pi\)
0.963332 + 0.268312i \(0.0864657\pi\)
\(444\) 24.6944 + 11.2718i 1.17195 + 0.534937i
\(445\) 18.1264 + 11.4436i 0.859274 + 0.542480i
\(446\) 7.88931 + 3.51255i 0.373570 + 0.166324i
\(447\) −16.1204 + 17.5712i −0.762470 + 0.831087i
\(448\) 13.1598 + 2.79720i 0.621741 + 0.132155i
\(449\) 19.5039 0.920444 0.460222 0.887804i \(-0.347770\pi\)
0.460222 + 0.887804i \(0.347770\pi\)
\(450\) 1.06096 + 4.82524i 0.0500143 + 0.227464i
\(451\) 7.32912 0.345115
\(452\) 4.02147 + 0.854791i 0.189154 + 0.0402060i
\(453\) 34.3199 + 7.63018i 1.61249 + 0.358497i
\(454\) 2.23067 + 0.993158i 0.104691 + 0.0466112i
\(455\) −4.37646 10.9782i −0.205172 0.514664i
\(456\) 9.27690 6.60874i 0.434431 0.309483i
\(457\) −6.38012 + 11.0507i −0.298449 + 0.516929i −0.975781 0.218748i \(-0.929803\pi\)
0.677332 + 0.735677i \(0.263136\pi\)
\(458\) 5.43434 + 3.94828i 0.253930 + 0.184491i
\(459\) −5.61113 19.0690i −0.261905 0.890065i
\(460\) −16.3306 + 33.0931i −0.761419 + 1.54297i
\(461\) 13.7821 + 2.92948i 0.641898 + 0.136440i 0.517350 0.855774i \(-0.326919\pi\)
0.124548 + 0.992214i \(0.460252\pi\)
\(462\) −1.89212 1.40186i −0.0880296 0.0652204i
\(463\) −29.6100 + 6.29379i −1.37609 + 0.292497i −0.835825 0.548996i \(-0.815010\pi\)
−0.540267 + 0.841494i \(0.681677\pi\)
\(464\) 13.0457 14.4887i 0.605632 0.672623i
\(465\) 17.2607 21.4683i 0.800447 0.995569i
\(466\) 1.67365 + 1.85878i 0.0775304 + 0.0861062i
\(467\) −0.459190 0.333621i −0.0212488 0.0154382i 0.577110 0.816666i \(-0.304180\pi\)
−0.598359 + 0.801228i \(0.704180\pi\)
\(468\) 11.3183 4.78828i 0.523188 0.221338i
\(469\) −6.67524 4.84985i −0.308234 0.223945i
\(470\) −3.25824 4.87910i −0.150291 0.225056i
\(471\) −9.89666 + 10.7873i −0.456014 + 0.497052i
\(472\) −1.12872 0.502539i −0.0519536 0.0231313i
\(473\) 7.44671 8.27041i 0.342400 0.380274i
\(474\) −3.52076 + 0.714105i −0.161714 + 0.0327999i
\(475\) −18.6175 + 17.6486i −0.854230 + 0.809773i
\(476\) −17.6587 −0.809384
\(477\) 2.47873 7.17075i 0.113493 0.328326i
\(478\) 4.32159 3.13982i 0.197665 0.143612i
\(479\) −0.950144 9.04001i −0.0434132 0.413049i −0.994549 0.104275i \(-0.966748\pi\)
0.951135 0.308774i \(-0.0999187\pi\)
\(480\) −0.694334 + 14.1986i −0.0316919 + 0.648073i
\(481\) 1.87569 17.8460i 0.0855240 0.813707i
\(482\) −2.41759 4.18739i −0.110118 0.190730i
\(483\) −30.0379 + 21.3986i −1.36677 + 0.973672i
\(484\) 10.3014 + 11.4409i 0.468245 + 0.520039i
\(485\) −2.46761 2.40511i −0.112048 0.109211i
\(486\) −4.96690 1.30046i −0.225303 0.0589900i
\(487\) −9.84622 + 30.3036i −0.446175 + 1.37319i 0.435015 + 0.900423i \(0.356743\pi\)
−0.881190 + 0.472762i \(0.843257\pi\)
\(488\) −7.47803 8.30519i −0.338514 0.375958i
\(489\) −12.4292 0.115936i −0.562069 0.00524281i
\(490\) −0.650290 0.410544i −0.0293771 0.0185465i
\(491\) 41.2802 8.77439i 1.86295 0.395982i 0.868019 0.496531i \(-0.165393\pi\)
0.994932 + 0.100549i \(0.0320598\pi\)
\(492\) −1.35215 14.1316i −0.0609595 0.637100i
\(493\) −11.0957 + 19.2182i −0.499723 + 0.865546i
\(494\) −2.96081 2.15115i −0.133213 0.0967850i
\(495\) −5.21003 + 10.0795i −0.234173 + 0.453042i
\(496\) 19.3390 14.0506i 0.868346 0.630890i
\(497\) −0.166899 1.58794i −0.00748643 0.0712286i
\(498\) 4.01479 + 7.10607i 0.179907 + 0.318431i
\(499\) 9.50928 + 16.4706i 0.425694 + 0.737323i 0.996485 0.0837721i \(-0.0266968\pi\)
−0.570791 + 0.821095i \(0.693363\pi\)
\(500\) −1.91829 21.0606i −0.0857886 0.941860i
\(501\) −10.2834 + 2.08576i −0.459430 + 0.0931848i
\(502\) 5.71372 + 1.21449i 0.255016 + 0.0542053i
\(503\) 8.48894 6.16758i 0.378503 0.274999i −0.382225 0.924069i \(-0.624842\pi\)
0.760728 + 0.649071i \(0.224842\pi\)
\(504\) −4.84281 + 8.03789i −0.215716 + 0.358036i
\(505\) 3.36299 + 19.6026i 0.149651 + 0.872305i
\(506\) 4.44049 1.97704i 0.197404 0.0878900i
\(507\) 9.53046 + 10.7853i 0.423263 + 0.478991i
\(508\) −2.91618 + 27.7456i −0.129385 + 1.23101i
\(509\) 26.9653 5.73166i 1.19522 0.254051i 0.433013 0.901388i \(-0.357450\pi\)
0.762204 + 0.647336i \(0.224117\pi\)
\(510\) −0.780223 4.81704i −0.0345488 0.213302i
\(511\) −26.0332 5.53353i −1.15164 0.244789i
\(512\) −6.47433 + 19.9259i −0.286128 + 0.880611i
\(513\) −7.52564 25.5753i −0.332265 1.12918i
\(514\) −0.614821 1.89222i −0.0271186 0.0834624i
\(515\) 21.3299 6.00954i 0.939907 0.264812i
\(516\) −17.3204 12.8325i −0.762486 0.564919i
\(517\) 1.40844 13.4004i 0.0619432 0.589350i
\(518\) 3.33000 + 5.76773i 0.146312 + 0.253420i
\(519\) −3.22021 33.6551i −0.141351 1.47729i
\(520\) 5.97446 1.68326i 0.261998 0.0738159i
\(521\) 24.6933 17.9407i 1.08183 0.785998i 0.103831 0.994595i \(-0.466890\pi\)
0.978002 + 0.208597i \(0.0668898\pi\)
\(522\) 2.77291 + 5.01666i 0.121367 + 0.219573i
\(523\) −4.73750 14.5805i −0.207156 0.637562i −0.999618 0.0276401i \(-0.991201\pi\)
0.792461 0.609922i \(-0.208799\pi\)
\(524\) −1.99456 + 3.45467i −0.0871326 + 0.150918i
\(525\) 8.28008 19.4454i 0.361372 0.848669i
\(526\) −1.66749 2.88818i −0.0727060 0.125930i
\(527\) −18.2059 + 20.2197i −0.793063 + 0.880785i
\(528\) −6.65632 + 7.25534i −0.289679 + 0.315748i
\(529\) −5.55322 52.8353i −0.241444 2.29719i
\(530\) 0.824249 1.67029i 0.0358031 0.0725529i
\(531\) −1.97479 + 2.11261i −0.0856986 + 0.0916794i
\(532\) −23.6838 −1.02682
\(533\) −8.57295 + 3.81692i −0.371336 + 0.165329i
\(534\) −5.01673 + 2.17775i −0.217095 + 0.0942406i
\(535\) −1.35818 + 1.12897i −0.0587190 + 0.0488098i
\(536\) 2.89968 3.22042i 0.125247 0.139101i
\(537\) 6.68963 + 4.95629i 0.288679 + 0.213879i
\(538\) 5.97238 + 6.63299i 0.257487 + 0.285969i
\(539\) −0.545782 1.67975i −0.0235085 0.0723518i
\(540\) 20.3960 + 8.18610i 0.877703 + 0.352274i
\(541\) 0.320574 0.986626i 0.0137826 0.0424184i −0.943929 0.330149i \(-0.892901\pi\)
0.957711 + 0.287731i \(0.0929009\pi\)
\(542\) −3.16434 + 1.40885i −0.135920 + 0.0605154i
\(543\) 3.06444 9.14038i 0.131508 0.392251i
\(544\) 1.46768 13.9640i 0.0629261 0.598702i
\(545\) −14.3895 36.0953i −0.616377 1.54615i
\(546\) 2.94331 + 0.654372i 0.125962 + 0.0280045i
\(547\) 2.97140 + 28.2710i 0.127048 + 1.20878i 0.853325 + 0.521379i \(0.174582\pi\)
−0.726277 + 0.687402i \(0.758751\pi\)
\(548\) −2.69607 8.29764i −0.115170 0.354458i
\(549\) −24.0905 + 10.1917i −1.02816 + 0.434969i
\(550\) −1.57894 + 2.29477i −0.0673264 + 0.0978492i
\(551\) −14.8815 + 25.7755i −0.633972 + 1.09807i
\(552\) −9.52806 16.8644i −0.405541 0.717798i
\(553\) 14.0395 + 6.25077i 0.597018 + 0.265810i
\(554\) −4.89275 2.17839i −0.207873 0.0925510i
\(555\) 24.8679 20.2820i 1.05558 0.860923i
\(556\) 6.91645 3.07940i 0.293323 0.130596i
\(557\) 23.9335 1.01409 0.507047 0.861919i \(-0.330737\pi\)
0.507047 + 0.861919i \(0.330737\pi\)
\(558\) 2.04668 + 6.72328i 0.0866429 + 0.284619i
\(559\) −4.40336 + 13.5522i −0.186242 + 0.573195i
\(560\) 11.3582 14.4000i 0.479972 0.608509i
\(561\) 5.69382 9.65292i 0.240393 0.407546i
\(562\) −4.89154 + 1.03973i −0.206337 + 0.0438583i
\(563\) −3.45562 + 0.734514i −0.145637 + 0.0309561i −0.280153 0.959955i \(-0.590385\pi\)
0.134516 + 0.990911i \(0.457052\pi\)
\(564\) −26.0977 0.243432i −1.09891 0.0102503i
\(565\) 3.00994 3.81601i 0.126629 0.160541i
\(566\) 0.192579 0.592697i 0.00809470 0.0249129i
\(567\) 14.0777 + 16.8593i 0.591210 + 0.708025i
\(568\) 0.838586 0.0351863
\(569\) −16.8695 + 7.51077i −0.707205 + 0.314868i −0.728635 0.684902i \(-0.759845\pi\)
0.0214298 + 0.999770i \(0.493178\pi\)
\(570\) −1.04643 6.46061i −0.0438303 0.270605i
\(571\) −24.6819 10.9891i −1.03291 0.459879i −0.180949 0.983492i \(-0.557917\pi\)
−0.851956 + 0.523613i \(0.824584\pi\)
\(572\) 6.32988 + 2.81824i 0.264666 + 0.117837i
\(573\) −20.8386 + 35.3284i −0.870546 + 1.47587i
\(574\) 1.74148 3.01633i 0.0726880 0.125899i
\(575\) 26.5390 + 34.6243i 1.10675 + 1.44393i
\(576\) 13.1962 + 9.96896i 0.549843 + 0.415374i
\(577\) 4.52246 + 13.9187i 0.188273 + 0.579444i 0.999989 0.00460768i \(-0.00146668\pi\)
−0.811717 + 0.584051i \(0.801467\pi\)
\(578\) −0.0814655 0.775093i −0.00338852 0.0322396i
\(579\) −1.49201 + 1.62628i −0.0620057 + 0.0675858i
\(580\) −9.08588 22.7915i −0.377271 0.946366i
\(581\) 3.64963 34.7239i 0.151412 1.44059i
\(582\) 0.861577 0.174751i 0.0357135 0.00724365i
\(583\) 3.90784 1.73988i 0.161846 0.0720586i
\(584\) 4.31951 13.2941i 0.178743 0.550113i
\(585\) 0.844914 14.5035i 0.0349329 0.599645i
\(586\) −0.747267 2.29985i −0.0308693 0.0950060i
\(587\) −19.9388 22.1443i −0.822964 0.913994i 0.174537 0.984651i \(-0.444157\pi\)
−0.997501 + 0.0706567i \(0.977491\pi\)
\(588\) −3.13809 + 1.36224i −0.129413 + 0.0561779i
\(589\) −24.4178 + 27.1187i −1.00612 + 1.11741i
\(590\) −0.545954 + 0.453820i −0.0224766 + 0.0186835i
\(591\) 13.6972 + 10.1481i 0.563426 + 0.417437i
\(592\) 25.4394 11.3263i 1.04555 0.465510i
\(593\) 15.3217 0.629186 0.314593 0.949227i \(-0.398132\pi\)
0.314593 + 0.949227i \(0.398132\pi\)
\(594\) −1.37668 2.54647i −0.0564859 0.104483i
\(595\) −9.23788 + 18.7200i −0.378716 + 0.767447i
\(596\) 2.72203 + 25.8984i 0.111499 + 1.06084i
\(597\) 9.66146 + 30.7066i 0.395417 + 1.25674i
\(598\) −4.16448 + 4.62512i −0.170298 + 0.189135i
\(599\) −14.5795 25.2524i −0.595702 1.03179i −0.993447 0.114290i \(-0.963541\pi\)
0.397745 0.917496i \(-0.369793\pi\)
\(600\) 9.70234 + 5.39245i 0.396096 + 0.220146i
\(601\) −5.97136 + 10.3427i −0.243577 + 0.421888i −0.961731 0.273997i \(-0.911654\pi\)
0.718154 + 0.695885i \(0.244987\pi\)
\(602\) −1.63430 5.02987i −0.0666093 0.205002i
\(603\) −4.90670 8.87705i −0.199816 0.361501i
\(604\) 31.0621 22.5679i 1.26390 0.918275i
\(605\) 17.5175 4.93544i 0.712189 0.200654i
\(606\) −4.61607 2.10701i −0.187515 0.0855916i
\(607\) 11.8537 + 20.5312i 0.481127 + 0.833336i 0.999765 0.0216578i \(-0.00689442\pi\)
−0.518639 + 0.854993i \(0.673561\pi\)
\(608\) 1.96844 18.7285i 0.0798310 0.759541i
\(609\) 2.79048 24.3616i 0.113076 0.987181i
\(610\) −6.18095 + 1.74144i −0.250259 + 0.0705087i
\(611\) 5.33132 + 16.4081i 0.215682 + 0.663801i
\(612\) −19.6626 9.19761i −0.794815 0.371791i
\(613\) 10.4855 32.2710i 0.423505 1.30341i −0.480914 0.876768i \(-0.659695\pi\)
0.904419 0.426646i \(-0.140305\pi\)
\(614\) 1.41180 + 0.300087i 0.0569755 + 0.0121105i
\(615\) −15.6883 5.95931i −0.632613 0.240303i
\(616\) −5.17520 + 1.10002i −0.208515 + 0.0443212i
\(617\) −1.06496 + 10.1324i −0.0428737 + 0.407916i 0.951946 + 0.306265i \(0.0990793\pi\)
−0.994820 + 0.101651i \(0.967587\pi\)
\(618\) −1.79716 + 5.36044i −0.0722924 + 0.215629i
\(619\) −6.04802 + 2.69275i −0.243091 + 0.108231i −0.524666 0.851308i \(-0.675810\pi\)
0.281575 + 0.959539i \(0.409143\pi\)
\(620\) −5.08665 29.6497i −0.204285 1.19076i
\(621\) −44.5923 + 8.18159i −1.78943 + 0.328316i
\(622\) −4.75307 + 3.45330i −0.190581 + 0.138465i
\(623\) 22.8846 + 4.86427i 0.916852 + 0.194883i
\(624\) 4.00747 11.9532i 0.160427 0.478510i
\(625\) −23.3300 8.98397i −0.933199 0.359359i
\(626\) 2.68462 + 4.64989i 0.107299 + 0.185847i
\(627\) 7.63654 12.9465i 0.304974 0.517032i
\(628\) 1.67111 + 15.8995i 0.0666845 + 0.634461i
\(629\) −25.6425 + 18.6303i −1.02243 + 0.742841i
\(630\) 2.91032 + 4.53923i 0.115950 + 0.180847i
\(631\) 18.8353 + 13.6847i 0.749823 + 0.544778i 0.895772 0.444514i \(-0.146623\pi\)
−0.145949 + 0.989292i \(0.546623\pi\)
\(632\) −4.03570 + 6.99004i −0.160532 + 0.278049i
\(633\) −3.47906 1.58802i −0.138280 0.0631182i
\(634\) −6.78939 + 1.44313i −0.269641 + 0.0573140i
\(635\) 27.8877 + 17.6062i 1.10669 + 0.698679i
\(636\) −4.07570 7.21388i −0.161612 0.286049i
\(637\) 1.51320 + 1.68058i 0.0599552 + 0.0665870i
\(638\) −0.998668 + 3.07358i −0.0395376 + 0.121684i
\(639\) 0.641245 1.85507i 0.0253673 0.0733853i
\(640\) 14.6624 + 14.2910i 0.579581 + 0.564902i
\(641\) 16.7041 + 18.5518i 0.659773 + 0.732752i 0.976441 0.215784i \(-0.0692308\pi\)
−0.316668 + 0.948536i \(0.602564\pi\)
\(642\) −0.0429174 0.448539i −0.00169381 0.0177024i
\(643\) 4.76373 + 8.25102i 0.187863 + 0.325388i 0.944538 0.328403i \(-0.106511\pi\)
−0.756674 + 0.653792i \(0.773177\pi\)
\(644\) −4.21000 + 40.0555i −0.165897 + 1.57841i
\(645\) −22.6647 + 11.6483i −0.892421 + 0.458649i
\(646\) 0.675715 + 6.42900i 0.0265857 + 0.252946i
\(647\) −38.6632 + 28.0905i −1.52001 + 1.10435i −0.558525 + 0.829487i \(0.688633\pi\)
−0.961483 + 0.274863i \(0.911367\pi\)
\(648\) −9.57895 + 6.42765i −0.376297 + 0.252502i
\(649\) −1.63046 −0.0640013
\(650\) 0.651819 3.50651i 0.0255664 0.137537i
\(651\) 9.55675 28.5052i 0.374558 1.11721i
\(652\) −9.08288 + 10.0876i −0.355713 + 0.395059i
\(653\) −12.4685 5.55135i −0.487932 0.217241i 0.147999 0.988988i \(-0.452717\pi\)
−0.635931 + 0.771746i \(0.719384\pi\)
\(654\) 9.67738 + 2.15152i 0.378415 + 0.0841312i
\(655\) 2.61889 + 3.92170i 0.102329 + 0.153234i
\(656\) −11.7817 8.55991i −0.459998 0.334208i
\(657\) −26.1053 19.7210i −1.01847 0.769390i
\(658\) −5.18035 3.76374i −0.201951 0.146726i
\(659\) −4.87000 5.40868i −0.189708 0.210692i 0.640786 0.767720i \(-0.278609\pi\)
−0.830494 + 0.557027i \(0.811942\pi\)
\(660\) 4.48100 + 11.5525i 0.174423 + 0.449679i
\(661\) −14.5946 + 16.2089i −0.567663 + 0.630454i −0.956807 0.290723i \(-0.906104\pi\)
0.389144 + 0.921177i \(0.372771\pi\)
\(662\) −5.83592 + 1.24046i −0.226819 + 0.0482119i
\(663\) −1.63299 + 14.2564i −0.0634200 + 0.553672i
\(664\) 17.9369 + 3.81261i 0.696088 + 0.147958i
\(665\) −12.3898 + 25.1073i −0.480457 + 0.973619i
\(666\) 0.703745 + 8.15672i 0.0272696 + 0.316066i
\(667\) 40.9478 + 29.7503i 1.58550 + 1.15194i
\(668\) −5.72945 + 9.92369i −0.221679 + 0.383959i
\(669\) −4.32558 45.2075i −0.167236 1.74782i
\(670\) −0.922085 2.31301i −0.0356233 0.0893593i
\(671\) −13.4729 5.99851i −0.520115 0.231570i
\(672\) 4.65652 + 14.7996i 0.179629 + 0.570907i
\(673\) −47.4181 10.0790i −1.82783 0.388518i −0.839817 0.542870i \(-0.817338\pi\)
−0.988016 + 0.154352i \(0.950671\pi\)
\(674\) 1.21886 0.0469488
\(675\) 19.3480 17.3394i 0.744704 0.667395i
\(676\) 15.7179 0.604534
\(677\) 9.67370 + 2.05621i 0.371790 + 0.0790265i 0.390018 0.920807i \(-0.372469\pi\)
−0.0182272 + 0.999834i \(0.505802\pi\)
\(678\) 0.372156 + 1.18280i 0.0142926 + 0.0454254i
\(679\) −3.43564 1.52965i −0.131848 0.0587024i
\(680\) −9.27086 5.85292i −0.355521 0.224449i
\(681\) −1.22304 12.7822i −0.0468669 0.489816i
\(682\) −1.98120 + 3.43153i −0.0758639 + 0.131400i
\(683\) 22.0510 + 16.0210i 0.843757 + 0.613026i 0.923418 0.383796i \(-0.125384\pi\)
−0.0796603 + 0.996822i \(0.525384\pi\)
\(684\) −26.3715 12.3358i −1.00834 0.471672i
\(685\) −10.2068 1.48268i −0.389981 0.0566502i
\(686\) −6.32466 1.34435i −0.241477 0.0513275i
\(687\) 4.01987 35.0945i 0.153368 1.33894i
\(688\) −21.6300 + 4.59760i −0.824637 + 0.175282i
\(689\) −3.66493 + 4.07032i −0.139623 + 0.155067i
\(690\) −11.1126 + 0.621363i −0.423049 + 0.0236549i
\(691\) −0.499317 0.554547i −0.0189949 0.0210960i 0.733573 0.679611i \(-0.237851\pi\)
−0.752567 + 0.658515i \(0.771185\pi\)
\(692\) −29.8701 21.7019i −1.13549 0.824982i
\(693\) −1.52394 + 12.2894i −0.0578897 + 0.466836i
\(694\) −6.87115 4.99218i −0.260825 0.189501i
\(695\) 0.353753 8.94311i 0.0134186 0.339231i
\(696\) 12.5715 + 2.79497i 0.476523 + 0.105943i
\(697\) 15.1428 + 6.74202i 0.573575 + 0.255372i
\(698\) 6.91376 7.67851i 0.261690 0.290636i
\(699\) 4.18109 12.4711i 0.158143 0.471699i
\(700\) −9.92547 20.8376i −0.375148 0.787589i
\(701\) −14.0062 −0.529006 −0.264503 0.964385i \(-0.585208\pi\)
−0.264503 + 0.964385i \(0.585208\pi\)
\(702\) 2.93649 + 2.26167i 0.110831 + 0.0853612i
\(703\) −34.3916 + 24.9870i −1.29711 + 0.942402i
\(704\) 0.974680 + 9.27346i 0.0367346 + 0.349507i
\(705\) −13.9107 + 27.5390i −0.523908 + 1.03718i
\(706\) −0.00344927 + 0.0328176i −0.000129815 + 0.00123511i
\(707\) 10.8534 + 18.7987i 0.408186 + 0.706999i
\(708\) 0.300804 + 3.14376i 0.0113049 + 0.118150i
\(709\) 16.5678 + 18.4004i 0.622216 + 0.691041i 0.969044 0.246888i \(-0.0794079\pi\)
−0.346828 + 0.937929i \(0.612741\pi\)
\(710\) 0.213232 0.432103i 0.00800247 0.0162165i
\(711\) 12.3769 + 14.2726i 0.464171 + 0.535266i
\(712\) −3.79708 + 11.6862i −0.142302 + 0.437960i
\(713\) 41.5243 + 46.1174i 1.55510 + 1.72711i
\(714\) −2.61979 4.63696i −0.0980431 0.173534i
\(715\) 6.29902 5.23601i 0.235570 0.195816i
\(716\) 8.89345 1.89036i 0.332364 0.0706461i
\(717\) −25.5547 11.6645i −0.954357 0.435618i
\(718\) 2.55455 4.42461i 0.0953349 0.165125i
\(719\) 7.88850 + 5.73133i 0.294192 + 0.213743i 0.725084 0.688661i \(-0.241801\pi\)
−0.430892 + 0.902403i \(0.641801\pi\)
\(720\) 20.1474 10.1181i 0.750851 0.377080i
\(721\) 19.5667 14.2161i 0.728703 0.529434i
\(722\) 0.252132 + 2.39887i 0.00938336 + 0.0892767i
\(723\) −12.9183 + 21.9008i −0.480436 + 0.814499i
\(724\) −5.26399 9.11749i −0.195634 0.338849i
\(725\) −28.9145 2.29107i −1.07386 0.0850880i
\(726\) −1.47595 + 4.40235i −0.0547776 + 0.163387i
\(727\) 2.19463 + 0.466484i 0.0813944 + 0.0173009i 0.248429 0.968650i \(-0.420086\pi\)
−0.167034 + 0.985951i \(0.553419\pi\)
\(728\) 5.48061 3.98189i 0.203125 0.147579i
\(729\) 6.89406 + 26.1050i 0.255335 + 0.966853i
\(730\) −5.75178 5.60611i −0.212883 0.207491i
\(731\) 22.9937 10.2374i 0.850452 0.378646i
\(732\) −9.08036 + 27.0843i −0.335620 + 1.00106i
\(733\) −0.749981 + 7.13559i −0.0277012 + 0.263559i 0.971902 + 0.235386i \(0.0756355\pi\)
−0.999603 + 0.0281727i \(0.991031\pi\)
\(734\) −4.15936 + 0.884099i −0.153525 + 0.0326327i
\(735\) −0.197531 + 4.03934i −0.00728602 + 0.148993i
\(736\) −31.3249 6.65831i −1.15465 0.245429i
\(737\) 1.76716 5.43875i 0.0650941 0.200339i
\(738\) 3.51018 2.45157i 0.129212 0.0902437i
\(739\) 3.95764 + 12.1804i 0.145584 + 0.448062i 0.997086 0.0762903i \(-0.0243076\pi\)
−0.851502 + 0.524352i \(0.824308\pi\)
\(740\) 1.38513 35.0171i 0.0509185 1.28725i
\(741\) −2.19016 + 19.1207i −0.0804576 + 0.702415i
\(742\) 0.212490 2.02171i 0.00780075 0.0742192i
\(743\) −1.45630 2.52238i −0.0534264 0.0925372i 0.838075 0.545554i \(-0.183681\pi\)
−0.891502 + 0.453017i \(0.850348\pi\)
\(744\) 14.3644 + 6.55666i 0.526625 + 0.240379i
\(745\) 28.8790 + 10.6627i 1.05804 + 0.390652i
\(746\) −0.0617081 + 0.0448336i −0.00225929 + 0.00164147i
\(747\) 22.1499 36.7635i 0.810424 1.34511i
\(748\) −3.78202 11.6399i −0.138284 0.425596i
\(749\) −0.963780 + 1.66932i −0.0352158 + 0.0609955i
\(750\) 5.24567 3.62821i 0.191545 0.132483i
\(751\) −17.2581 29.8919i −0.629757 1.09077i −0.987600 0.156989i \(-0.949821\pi\)
0.357843 0.933782i \(-0.383512\pi\)
\(752\) −17.9149 + 19.8965i −0.653288 + 0.725550i
\(753\) −9.21952 29.3020i −0.335978 1.06782i
\(754\) −0.432535 4.11530i −0.0157520 0.149870i
\(755\) −7.67467 44.7351i −0.279310 1.62808i
\(756\) 23.9769 + 0.671103i 0.872030 + 0.0244078i
\(757\) 4.55628 0.165601 0.0828005 0.996566i \(-0.473614\pi\)
0.0828005 + 0.996566i \(0.473614\pi\)
\(758\) 1.67877 0.747436i 0.0609756 0.0271481i
\(759\) −20.5384 15.2167i −0.745498 0.552333i
\(760\) −12.4341 7.84992i −0.451031 0.284747i
\(761\) 17.2773 19.1884i 0.626301 0.695577i −0.343590 0.939120i \(-0.611643\pi\)
0.969890 + 0.243543i \(0.0783096\pi\)
\(762\) −7.71829 + 3.35050i −0.279604 + 0.121376i
\(763\) −28.3775 31.5164i −1.02733 1.14097i
\(764\) 13.8417 + 42.6004i 0.500775 + 1.54123i
\(765\) −20.0366 + 16.0328i −0.724426 + 0.579669i
\(766\) 1.36586 4.20369i 0.0493505 0.151885i
\(767\) 1.90717 0.849127i 0.0688639 0.0306602i
\(768\) 13.5965 2.75773i 0.490620 0.0995108i
\(769\) −3.43575 + 32.6890i −0.123896 + 1.17879i 0.739104 + 0.673591i \(0.235249\pi\)
−0.863000 + 0.505203i \(0.831418\pi\)
\(770\) −0.749114 + 2.94637i −0.0269962 + 0.106180i