Properties

Label 576.2.bl.a.11.11
Level $576$
Weight $2$
Character 576.11
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bl (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 11.11
Character \(\chi\) \(=\) 576.11
Dual form 576.2.bl.a.419.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.34003 + 0.452023i) q^{2} +(0.961303 + 1.44080i) q^{3} +(1.59135 - 1.21145i) q^{4} +(-1.07061 - 0.527968i) q^{5} +(-1.93945 - 1.49618i) q^{6} +(-2.72460 - 3.55077i) q^{7} +(-1.58485 + 2.34270i) q^{8} +(-1.15179 + 2.77009i) q^{9} +O(q^{10})\) \(q+(-1.34003 + 0.452023i) q^{2} +(0.961303 + 1.44080i) q^{3} +(1.59135 - 1.21145i) q^{4} +(-1.07061 - 0.527968i) q^{5} +(-1.93945 - 1.49618i) q^{6} +(-2.72460 - 3.55077i) q^{7} +(-1.58485 + 2.34270i) q^{8} +(-1.15179 + 2.77009i) q^{9} +(1.67331 + 0.223550i) q^{10} +(1.76597 + 1.54872i) q^{11} +(3.27522 + 1.12824i) q^{12} +(-0.342438 - 0.0224446i) q^{13} +(5.25607 + 3.52654i) q^{14} +(-0.268489 - 2.05008i) q^{15} +(1.06479 - 3.85567i) q^{16} +(-4.44644 - 4.44644i) q^{17} +(0.291292 - 4.23263i) q^{18} +(2.08516 - 3.12066i) q^{19} +(-2.34333 + 0.456811i) q^{20} +(2.49677 - 7.33896i) q^{21} +(-3.06651 - 1.27706i) q^{22} +(-1.36200 + 1.77499i) q^{23} +(-4.89888 - 0.0314027i) q^{24} +(-2.17634 - 2.83627i) q^{25} +(0.469022 - 0.124714i) q^{26} +(-5.09835 + 1.00339i) q^{27} +(-8.63736 - 2.34980i) q^{28} +(2.36656 - 6.97167i) q^{29} +(1.28646 + 2.62580i) q^{30} +(-3.16544 - 5.48271i) q^{31} +(0.316008 + 5.64802i) q^{32} +(-0.533751 + 4.03319i) q^{33} +(7.96824 + 3.94846i) q^{34} +(1.04230 + 5.24000i) q^{35} +(1.52291 + 5.80351i) q^{36} +(2.06941 - 1.38274i) q^{37} +(-1.38356 + 5.12431i) q^{38} +(-0.296849 - 0.514960i) q^{39} +(2.93364 - 1.67138i) q^{40} +(9.02935 + 6.92847i) q^{41} +(-0.0283607 + 10.9630i) q^{42} +(-6.56813 - 5.76009i) q^{43} +(4.68647 + 0.325166i) q^{44} +(2.69564 - 2.35758i) q^{45} +(1.02278 - 2.99420i) q^{46} +(-2.15582 - 8.04561i) q^{47} +(6.57883 - 2.17233i) q^{48} +(-3.37277 + 12.5874i) q^{49} +(4.19842 + 2.81692i) q^{50} +(2.13204 - 10.6808i) q^{51} +(-0.572129 + 0.379129i) q^{52} +(-0.173934 - 0.0345977i) q^{53} +(6.37838 - 3.64915i) q^{54} +(-1.07300 - 2.59045i) q^{55} +(12.6365 - 0.755486i) q^{56} +(6.50070 + 0.00439037i) q^{57} +(-0.0199033 + 10.4120i) q^{58} +(-5.42489 + 11.0006i) q^{59} +(-2.91082 - 2.93713i) q^{60} +(1.62496 - 4.78699i) q^{61} +(6.72009 + 5.91613i) q^{62} +(12.9741 - 3.45762i) q^{63} +(-2.97650 - 7.42566i) q^{64} +(0.354769 + 0.204826i) q^{65} +(-1.10785 - 5.64586i) q^{66} +(1.23450 - 1.08262i) q^{67} +(-12.4625 - 1.68921i) q^{68} +(-3.86670 - 0.256060i) q^{69} +(-3.76532 - 6.55061i) q^{70} +(-12.5649 - 5.20455i) q^{71} +(-4.66406 - 7.08848i) q^{72} +(6.08847 - 2.52193i) q^{73} +(-2.14804 + 2.78833i) q^{74} +(1.99436 - 5.86218i) q^{75} +(-0.462300 - 7.49211i) q^{76} +(0.687563 - 10.4902i) q^{77} +(0.630559 + 0.555878i) q^{78} +(2.01962 + 7.53733i) q^{79} +(-3.17565 + 3.56576i) q^{80} +(-6.34675 - 6.38113i) q^{81} +(-15.2314 - 5.20286i) q^{82} +(0.223784 - 0.110358i) q^{83} +(-4.91753 - 14.7036i) q^{84} +(2.41284 + 7.10800i) q^{85} +(11.4052 + 4.74974i) q^{86} +(12.3198 - 3.29215i) q^{87} +(-6.42698 + 1.68266i) q^{88} +(-0.644241 - 0.266853i) q^{89} +(-2.54656 + 4.37772i) q^{90} +(0.853311 + 1.27707i) q^{91} +(-0.0171073 + 4.47463i) q^{92} +(4.85652 - 9.83130i) q^{93} +(6.52566 + 9.80687i) q^{94} +(-3.88001 + 2.24012i) q^{95} +(-7.83387 + 5.88476i) q^{96} +(10.0665 + 5.81191i) q^{97} +(-1.17017 - 18.3920i) q^{98} +(-6.32411 + 3.10809i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9} - 32 q^{10} - 24 q^{11} - 16 q^{12} - 8 q^{13} - 24 q^{14} - 16 q^{15} - 8 q^{16} - 16 q^{18} - 32 q^{19} - 24 q^{20} - 16 q^{21} - 8 q^{22} - 24 q^{23} - 96 q^{24} - 8 q^{25} - 16 q^{27} - 32 q^{28} - 24 q^{29} + 64 q^{30} - 16 q^{31} - 24 q^{32} - 8 q^{34} + 64 q^{36} - 32 q^{37} - 24 q^{38} - 16 q^{39} - 8 q^{40} - 24 q^{41} - 96 q^{42} - 8 q^{43} - 16 q^{45} - 32 q^{46} - 24 q^{47} - 16 q^{48} - 8 q^{49} - 24 q^{50} - 16 q^{51} - 8 q^{52} - 16 q^{54} - 32 q^{55} - 24 q^{56} - 16 q^{57} + 64 q^{58} - 24 q^{59} - 16 q^{60} - 8 q^{61} - 32 q^{64} - 48 q^{65} - 8 q^{67} - 24 q^{68} - 16 q^{69} - 8 q^{70} - 16 q^{72} - 32 q^{73} - 24 q^{74} - 16 q^{75} - 56 q^{76} - 24 q^{77} - 40 q^{78} - 8 q^{79} - 16 q^{81} - 32 q^{82} - 24 q^{83} - 128 q^{84} - 8 q^{85} - 24 q^{86} - 16 q^{87} - 8 q^{88} - 160 q^{90} - 32 q^{91} - 480 q^{92} + 8 q^{93} - 8 q^{94} - 48 q^{95} - 152 q^{96} - 16 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{5}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.34003 + 0.452023i −0.947543 + 0.319629i
\(3\) 0.961303 + 1.44080i 0.555009 + 0.831845i
\(4\) 1.59135 1.21145i 0.795675 0.605724i
\(5\) −1.07061 0.527968i −0.478793 0.236115i 0.186845 0.982389i \(-0.440174\pi\)
−0.665638 + 0.746275i \(0.731841\pi\)
\(6\) −1.93945 1.49618i −0.791776 0.610812i
\(7\) −2.72460 3.55077i −1.02980 1.34206i −0.938133 0.346274i \(-0.887447\pi\)
−0.0916683 0.995790i \(-0.529220\pi\)
\(8\) −1.58485 + 2.34270i −0.560329 + 0.828270i
\(9\) −1.15179 + 2.77009i −0.383931 + 0.923362i
\(10\) 1.67331 + 0.223550i 0.529146 + 0.0706927i
\(11\) 1.76597 + 1.54872i 0.532460 + 0.466955i 0.882854 0.469647i \(-0.155619\pi\)
−0.350394 + 0.936602i \(0.613952\pi\)
\(12\) 3.27522 + 1.12824i 0.945475 + 0.325696i
\(13\) −0.342438 0.0224446i −0.0949752 0.00622500i 0.0178414 0.999841i \(-0.494321\pi\)
−0.112817 + 0.993616i \(0.535987\pi\)
\(14\) 5.25607 + 3.52654i 1.40474 + 0.942509i
\(15\) −0.268489 2.05008i −0.0693236 0.529327i
\(16\) 1.06479 3.85567i 0.266197 0.963919i
\(17\) −4.44644 4.44644i −1.07842 1.07842i −0.996651 0.0817677i \(-0.973943\pi\)
−0.0817677 0.996651i \(-0.526057\pi\)
\(18\) 0.291292 4.23263i 0.0686581 0.997640i
\(19\) 2.08516 3.12066i 0.478368 0.715928i −0.511285 0.859411i \(-0.670830\pi\)
0.989653 + 0.143483i \(0.0458304\pi\)
\(20\) −2.34333 + 0.456811i −0.523984 + 0.102146i
\(21\) 2.49677 7.33896i 0.544840 1.60149i
\(22\) −3.06651 1.27706i −0.653781 0.272270i
\(23\) −1.36200 + 1.77499i −0.283997 + 0.370112i −0.913467 0.406913i \(-0.866605\pi\)
0.629470 + 0.777025i \(0.283272\pi\)
\(24\) −4.89888 0.0314027i −0.999979 0.00641005i
\(25\) −2.17634 2.83627i −0.435269 0.567253i
\(26\) 0.469022 0.124714i 0.0919828 0.0244583i
\(27\) −5.09835 + 1.00339i −0.981179 + 0.193103i
\(28\) −8.63736 2.34980i −1.63231 0.444071i
\(29\) 2.36656 6.97167i 0.439460 1.29461i −0.471410 0.881914i \(-0.656255\pi\)
0.910870 0.412693i \(-0.135412\pi\)
\(30\) 1.28646 + 2.62580i 0.234875 + 0.479402i
\(31\) −3.16544 5.48271i −0.568530 0.984723i −0.996712 0.0810304i \(-0.974179\pi\)
0.428181 0.903693i \(-0.359154\pi\)
\(32\) 0.316008 + 5.64802i 0.0558629 + 0.998438i
\(33\) −0.533751 + 4.03319i −0.0929141 + 0.702088i
\(34\) 7.96824 + 3.94846i 1.36654 + 0.677155i
\(35\) 1.04230 + 5.24000i 0.176181 + 0.885722i
\(36\) 1.52291 + 5.80351i 0.253818 + 0.967252i
\(37\) 2.06941 1.38274i 0.340209 0.227321i −0.373715 0.927544i \(-0.621916\pi\)
0.713924 + 0.700223i \(0.246916\pi\)
\(38\) −1.38356 + 5.12431i −0.224443 + 0.831272i
\(39\) −0.296849 0.514960i −0.0475338 0.0824595i
\(40\) 2.93364 1.67138i 0.463849 0.264268i
\(41\) 9.02935 + 6.92847i 1.41015 + 1.08204i 0.984153 + 0.177319i \(0.0567424\pi\)
0.425994 + 0.904726i \(0.359924\pi\)
\(42\) −0.0283607 + 10.9630i −0.00437616 + 1.69163i
\(43\) −6.56813 5.76009i −1.00163 0.878406i −0.00904506 0.999959i \(-0.502879\pi\)
−0.992585 + 0.121553i \(0.961213\pi\)
\(44\) 4.68647 + 0.325166i 0.706511 + 0.0490206i
\(45\) 2.69564 2.35758i 0.401843 0.351448i
\(46\) 1.02278 2.99420i 0.150801 0.441470i
\(47\) −2.15582 8.04561i −0.314458 1.17357i −0.924493 0.381199i \(-0.875511\pi\)
0.610035 0.792375i \(-0.291155\pi\)
\(48\) 6.57883 2.17233i 0.949572 0.313548i
\(49\) −3.37277 + 12.5874i −0.481824 + 1.79819i
\(50\) 4.19842 + 2.81692i 0.593746 + 0.398372i
\(51\) 2.13204 10.6808i 0.298545 1.49561i
\(52\) −0.572129 + 0.379129i −0.0793400 + 0.0525757i
\(53\) −0.173934 0.0345977i −0.0238917 0.00475236i 0.183130 0.983089i \(-0.441377\pi\)
−0.207022 + 0.978336i \(0.566377\pi\)
\(54\) 6.37838 3.64915i 0.867988 0.496586i
\(55\) −1.07300 2.59045i −0.144683 0.349297i
\(56\) 12.6365 0.755486i 1.68862 0.100956i
\(57\) 6.50070 + 0.00439037i 0.861039 + 0.000581519i
\(58\) −0.0199033 + 10.4120i −0.00261343 + 1.36716i
\(59\) −5.42489 + 11.0006i −0.706261 + 1.43216i 0.186882 + 0.982382i \(0.440162\pi\)
−0.893143 + 0.449773i \(0.851505\pi\)
\(60\) −2.91082 2.93713i −0.375785 0.379181i
\(61\) 1.62496 4.78699i 0.208055 0.612911i −0.791942 0.610596i \(-0.790930\pi\)
0.999997 0.00231462i \(-0.000736768\pi\)
\(62\) 6.72009 + 5.91613i 0.853453 + 0.751349i
\(63\) 12.9741 3.45762i 1.63458 0.435620i
\(64\) −2.97650 7.42566i −0.372062 0.928208i
\(65\) 0.354769 + 0.204826i 0.0440037 + 0.0254055i
\(66\) −1.10785 5.64586i −0.136368 0.694957i
\(67\) 1.23450 1.08262i 0.150818 0.132264i −0.580612 0.814180i \(-0.697187\pi\)
0.731430 + 0.681917i \(0.238853\pi\)
\(68\) −12.4625 1.68921i −1.51130 0.204847i
\(69\) −3.86670 0.256060i −0.465496 0.0308260i
\(70\) −3.76532 6.55061i −0.450041 0.782947i
\(71\) −12.5649 5.20455i −1.49118 0.617667i −0.519606 0.854406i \(-0.673921\pi\)
−0.971573 + 0.236740i \(0.923921\pi\)
\(72\) −4.66406 7.08848i −0.549665 0.835385i
\(73\) 6.08847 2.52193i 0.712602 0.295169i 0.00322116 0.999995i \(-0.498975\pi\)
0.709381 + 0.704825i \(0.248975\pi\)
\(74\) −2.14804 + 2.78833i −0.249705 + 0.324137i
\(75\) 1.99436 5.86218i 0.230289 0.676906i
\(76\) −0.462300 7.49211i −0.0530294 0.859404i
\(77\) 0.687563 10.4902i 0.0783550 1.19547i
\(78\) 0.630559 + 0.555878i 0.0713968 + 0.0629408i
\(79\) 2.01962 + 7.53733i 0.227225 + 0.848016i 0.981501 + 0.191458i \(0.0613216\pi\)
−0.754276 + 0.656558i \(0.772012\pi\)
\(80\) −3.17565 + 3.56576i −0.355049 + 0.398665i
\(81\) −6.34675 6.38113i −0.705194 0.709014i
\(82\) −15.2314 5.20286i −1.68203 0.574560i
\(83\) 0.223784 0.110358i 0.0245635 0.0121134i −0.429965 0.902845i \(-0.641474\pi\)
0.454529 + 0.890732i \(0.349808\pi\)
\(84\) −4.91753 14.7036i −0.536547 1.60429i
\(85\) 2.41284 + 7.10800i 0.261709 + 0.770970i
\(86\) 11.4052 + 4.74974i 1.22985 + 0.512178i
\(87\) 12.3198 3.29215i 1.32082 0.352956i
\(88\) −6.42698 + 1.68266i −0.685118 + 0.179372i
\(89\) −0.644241 0.266853i −0.0682894 0.0282864i 0.348277 0.937392i \(-0.386767\pi\)
−0.416567 + 0.909105i \(0.636767\pi\)
\(90\) −2.54656 + 4.37772i −0.268431 + 0.461452i
\(91\) 0.853311 + 1.27707i 0.0894513 + 0.133873i
\(92\) −0.0171073 + 4.47463i −0.00178355 + 0.466512i
\(93\) 4.85652 9.83130i 0.503598 1.01946i
\(94\) 6.52566 + 9.80687i 0.673070 + 1.01150i
\(95\) −3.88001 + 2.24012i −0.398080 + 0.229832i
\(96\) −7.83387 + 5.88476i −0.799541 + 0.600611i
\(97\) 10.0665 + 5.81191i 1.02210 + 0.590110i 0.914712 0.404107i \(-0.132418\pi\)
0.107389 + 0.994217i \(0.465751\pi\)
\(98\) −1.17017 18.3920i −0.118205 1.85787i
\(99\) −6.32411 + 3.10809i −0.635597 + 0.312375i
\(100\) −6.89931 1.87696i −0.689931 0.187696i
\(101\) −0.164653 + 0.0107919i −0.0163836 + 0.00107384i −0.0735927 0.997288i \(-0.523446\pi\)
0.0572091 + 0.998362i \(0.481780\pi\)
\(102\) 1.97097 + 15.2763i 0.195155 + 1.51258i
\(103\) 1.34114 + 10.1870i 0.132147 + 1.00375i 0.921107 + 0.389310i \(0.127287\pi\)
−0.788960 + 0.614445i \(0.789380\pi\)
\(104\) 0.595294 0.766658i 0.0583734 0.0751771i
\(105\) −6.54781 + 6.53898i −0.639001 + 0.638139i
\(106\) 0.248716 0.0322605i 0.0241574 0.00313342i
\(107\) −8.37118 1.66513i −0.809272 0.160974i −0.226923 0.973913i \(-0.572866\pi\)
−0.582350 + 0.812939i \(0.697866\pi\)
\(108\) −6.89771 + 7.77314i −0.663732 + 0.747970i
\(109\) 12.8516 + 8.58718i 1.23096 + 0.822503i 0.989019 0.147788i \(-0.0472153\pi\)
0.241943 + 0.970290i \(0.422215\pi\)
\(110\) 2.60880 + 2.98626i 0.248739 + 0.284729i
\(111\) 3.98158 + 1.65237i 0.377915 + 0.156836i
\(112\) −16.5917 + 6.72435i −1.56777 + 0.635391i
\(113\) 6.41304 + 1.71837i 0.603288 + 0.161651i 0.547519 0.836793i \(-0.315572\pi\)
0.0557691 + 0.998444i \(0.482239\pi\)
\(114\) −8.71310 + 2.93258i −0.816057 + 0.274662i
\(115\) 2.39532 1.18124i 0.223365 0.110151i
\(116\) −4.67979 13.9613i −0.434507 1.29628i
\(117\) 0.456591 0.922731i 0.0422119 0.0853065i
\(118\) 2.29698 17.1933i 0.211454 1.58277i
\(119\) −3.67350 + 27.9030i −0.336749 + 2.55786i
\(120\) 5.22823 + 2.62007i 0.477270 + 0.239179i
\(121\) −0.715653 5.43592i −0.0650593 0.494175i
\(122\) −0.0136663 + 7.14922i −0.00123729 + 0.647260i
\(123\) −1.30257 + 19.6698i −0.117449 + 1.77357i
\(124\) −11.6793 4.89014i −1.04884 0.439147i
\(125\) 1.99698 + 10.0395i 0.178615 + 0.897960i
\(126\) −15.8227 + 10.4979i −1.40960 + 0.935228i
\(127\) 5.68458i 0.504425i −0.967672 0.252212i \(-0.918842\pi\)
0.967672 0.252212i \(-0.0811582\pi\)
\(128\) 7.34516 + 8.60515i 0.649227 + 0.760595i
\(129\) 1.98517 15.0005i 0.174784 1.32072i
\(130\) −0.567986 0.114109i −0.0498157 0.0100080i
\(131\) −9.58556 10.9302i −0.837494 0.954979i 0.162000 0.986791i \(-0.448206\pi\)
−0.999494 + 0.0318117i \(0.989872\pi\)
\(132\) 4.03662 + 7.06483i 0.351342 + 0.614914i
\(133\) −16.7619 + 1.09864i −1.45344 + 0.0952638i
\(134\) −1.16489 + 2.00877i −0.100631 + 0.173531i
\(135\) 5.98813 + 1.61752i 0.515376 + 0.139214i
\(136\) 17.4636 3.36973i 1.49749 0.288952i
\(137\) −8.72107 1.14815i −0.745092 0.0980932i −0.251585 0.967835i \(-0.580952\pi\)
−0.493507 + 0.869742i \(0.664285\pi\)
\(138\) 5.29723 1.40471i 0.450931 0.119577i
\(139\) 1.16328 + 3.42693i 0.0986685 + 0.290668i 0.985045 0.172297i \(-0.0551189\pi\)
−0.886377 + 0.462965i \(0.846786\pi\)
\(140\) 8.00666 + 7.07599i 0.676686 + 0.598030i
\(141\) 9.51971 10.8404i 0.801704 0.912924i
\(142\) 19.1899 + 1.29462i 1.61038 + 0.108642i
\(143\) −0.569975 0.569975i −0.0476637 0.0476637i
\(144\) 9.45413 + 7.39049i 0.787844 + 0.615875i
\(145\) −6.21450 + 6.21450i −0.516086 + 0.516086i
\(146\) −7.01875 + 6.13159i −0.580876 + 0.507454i
\(147\) −21.3781 + 7.24078i −1.76323 + 0.597209i
\(148\) 1.61805 4.70741i 0.133003 0.386946i
\(149\) −9.69207 + 3.29002i −0.794006 + 0.269529i −0.688828 0.724925i \(-0.741874\pi\)
−0.105178 + 0.994453i \(0.533541\pi\)
\(150\) −0.0226539 + 8.75698i −0.00184968 + 0.715005i
\(151\) −2.58448 + 19.6311i −0.210322 + 1.59755i 0.482137 + 0.876096i \(0.339861\pi\)
−0.692459 + 0.721458i \(0.743473\pi\)
\(152\) 4.00610 + 9.83067i 0.324938 + 0.797373i
\(153\) 17.4384 7.19563i 1.40981 0.581732i
\(154\) 3.82045 + 14.3679i 0.307861 + 1.15780i
\(155\) 0.494271 + 7.54112i 0.0397008 + 0.605717i
\(156\) −1.09624 0.459864i −0.0877692 0.0368186i
\(157\) 8.15639 7.15296i 0.650951 0.570868i −0.268885 0.963172i \(-0.586655\pi\)
0.919836 + 0.392304i \(0.128322\pi\)
\(158\) −6.11340 9.18732i −0.486356 0.730904i
\(159\) −0.117355 0.283863i −0.00930689 0.0225118i
\(160\) 2.64365 6.21369i 0.208999 0.491236i
\(161\) 10.0135 0.789174
\(162\) 11.3892 + 5.68202i 0.894823 + 0.446421i
\(163\) −20.5038 + 4.07846i −1.60598 + 0.319449i −0.915009 0.403433i \(-0.867817\pi\)
−0.690971 + 0.722882i \(0.742817\pi\)
\(164\) 22.7623 + 0.0870242i 1.77744 + 0.00679545i
\(165\) 2.70084 4.03619i 0.210260 0.314217i
\(166\) −0.249993 + 0.249039i −0.0194032 + 0.0193291i
\(167\) −4.31483 + 0.568058i −0.333891 + 0.0439576i −0.295608 0.955309i \(-0.595522\pi\)
−0.0382833 + 0.999267i \(0.512189\pi\)
\(168\) 13.2360 + 17.4803i 1.02118 + 1.34864i
\(169\) −12.7720 1.68147i −0.982463 0.129344i
\(170\) −6.44625 8.43425i −0.494405 0.646878i
\(171\) 6.24282 + 9.37041i 0.477400 + 0.716573i
\(172\) −17.4302 1.20938i −1.32904 0.0922144i
\(173\) −6.70024 13.5867i −0.509410 1.03298i −0.987929 0.154904i \(-0.950493\pi\)
0.478519 0.878077i \(-0.341174\pi\)
\(174\) −15.0207 + 9.98039i −1.13872 + 0.756612i
\(175\) −4.14125 + 15.4554i −0.313049 + 1.16832i
\(176\) 7.85173 5.15996i 0.591846 0.388946i
\(177\) −21.0646 + 2.75874i −1.58331 + 0.207359i
\(178\) 0.983925 + 0.0663790i 0.0737483 + 0.00497532i
\(179\) 6.23926 9.33771i 0.466344 0.697933i −0.521523 0.853237i \(-0.674636\pi\)
0.987867 + 0.155304i \(0.0496358\pi\)
\(180\) 1.43362 7.01737i 0.106856 0.523044i
\(181\) −1.29260 + 6.49833i −0.0960781 + 0.483017i 0.902547 + 0.430592i \(0.141695\pi\)
−0.998625 + 0.0524253i \(0.983305\pi\)
\(182\) −1.72073 1.32559i −0.127549 0.0982595i
\(183\) 8.45916 2.26050i 0.625319 0.167101i
\(184\) −1.99971 6.00386i −0.147421 0.442611i
\(185\) −2.94559 + 0.387794i −0.216564 + 0.0285112i
\(186\) −2.06389 + 15.3695i −0.151332 + 1.12695i
\(187\) −0.966015 14.7385i −0.0706420 1.07779i
\(188\) −13.1775 10.1917i −0.961068 0.743308i
\(189\) 17.4538 + 15.3692i 1.26958 + 1.11795i
\(190\) 4.18673 4.75568i 0.303737 0.345013i
\(191\) 4.05224 7.01869i 0.293210 0.507854i −0.681357 0.731951i \(-0.738610\pi\)
0.974567 + 0.224097i \(0.0719432\pi\)
\(192\) 7.83756 11.4268i 0.565627 0.824661i
\(193\) 5.86766 + 10.1631i 0.422363 + 0.731555i 0.996170 0.0874360i \(-0.0278673\pi\)
−0.573807 + 0.818991i \(0.694534\pi\)
\(194\) −16.1165 3.23782i −1.15710 0.232462i
\(195\) 0.0459278 + 0.708050i 0.00328896 + 0.0507045i
\(196\) 9.88166 + 24.1168i 0.705833 + 1.72263i
\(197\) 0.423218 0.282785i 0.0301531 0.0201476i −0.540402 0.841407i \(-0.681728\pi\)
0.570555 + 0.821259i \(0.306728\pi\)
\(198\) 7.06955 7.02357i 0.502411 0.499144i
\(199\) 0.00680071 0.0164184i 0.000482090 0.00116387i −0.923638 0.383265i \(-0.874800\pi\)
0.924120 + 0.382101i \(0.124800\pi\)
\(200\) 10.0937 0.603464i 0.713732 0.0426714i
\(201\) 2.74657 + 0.737929i 0.193728 + 0.0520495i
\(202\) 0.215761 0.0888885i 0.0151809 0.00625417i
\(203\) −31.2027 + 10.5919i −2.19000 + 0.743406i
\(204\) −9.54639 19.5797i −0.668381 1.37085i
\(205\) −6.00894 12.1849i −0.419683 0.851032i
\(206\) −6.40193 13.0446i −0.446044 0.908863i
\(207\) −3.34814 5.81728i −0.232712 0.404329i
\(208\) −0.451163 + 1.29643i −0.0312825 + 0.0898913i
\(209\) 8.51533 2.28168i 0.589018 0.157827i
\(210\) 5.81849 11.7222i 0.401514 0.808907i
\(211\) 22.1536 + 1.45203i 1.52512 + 0.0999616i 0.804744 0.593622i \(-0.202303\pi\)
0.720376 + 0.693584i \(0.243969\pi\)
\(212\) −0.318704 + 0.155655i −0.0218887 + 0.0106905i
\(213\) −4.57997 23.1066i −0.313814 1.58324i
\(214\) 11.9703 1.55265i 0.818272 0.106137i
\(215\) 3.99078 + 9.63460i 0.272169 + 0.657074i
\(216\) 5.72948 13.5341i 0.389842 0.920882i
\(217\) −10.8433 + 26.1779i −0.736088 + 1.77707i
\(218\) −21.1031 5.69783i −1.42928 0.385906i
\(219\) 9.48646 + 6.34792i 0.641035 + 0.428953i
\(220\) −4.84572 2.82243i −0.326698 0.190288i
\(221\) 1.42283 + 1.62243i 0.0957099 + 0.109136i
\(222\) −6.08234 0.414462i −0.408220 0.0278169i
\(223\) −5.15606 + 8.93056i −0.345275 + 0.598034i −0.985404 0.170234i \(-0.945548\pi\)
0.640128 + 0.768268i \(0.278881\pi\)
\(224\) 19.1938 16.5107i 1.28244 1.10317i
\(225\) 10.3634 2.76187i 0.690893 0.184124i
\(226\) −9.37040 + 0.596182i −0.623310 + 0.0396574i
\(227\) 11.6459 + 3.95325i 0.772965 + 0.262386i 0.679930 0.733277i \(-0.262010\pi\)
0.0930346 + 0.995663i \(0.470343\pi\)
\(228\) 10.3502 7.86827i 0.685459 0.521089i
\(229\) −23.9684 11.8199i −1.58388 0.781083i −0.584343 0.811507i \(-0.698648\pi\)
−0.999537 + 0.0304241i \(0.990314\pi\)
\(230\) −2.67585 + 2.66563i −0.176440 + 0.175767i
\(231\) 15.7752 9.09360i 1.03793 0.598315i
\(232\) 12.5819 + 16.5932i 0.826042 + 1.08940i
\(233\) −3.38696 + 1.40293i −0.221887 + 0.0919087i −0.490858 0.871240i \(-0.663317\pi\)
0.268971 + 0.963148i \(0.413317\pi\)
\(234\) −0.194749 + 1.44287i −0.0127311 + 0.0943237i
\(235\) −1.93978 + 9.75195i −0.126538 + 0.636147i
\(236\) 4.69374 + 24.0778i 0.305537 + 1.56733i
\(237\) −8.91830 + 10.1555i −0.579306 + 0.659672i
\(238\) −7.69022 39.0513i −0.498483 2.53132i
\(239\) −6.93649 1.85863i −0.448684 0.120225i 0.0273994 0.999625i \(-0.491277\pi\)
−0.476084 + 0.879400i \(0.657944\pi\)
\(240\) −8.19031 1.14769i −0.528682 0.0740831i
\(241\) 27.1865 7.28461i 1.75124 0.469243i 0.766348 0.642425i \(-0.222072\pi\)
0.984890 + 0.173182i \(0.0554050\pi\)
\(242\) 3.41616 + 6.96080i 0.219599 + 0.447457i
\(243\) 3.09277 15.2786i 0.198401 0.980121i
\(244\) −3.21330 9.58633i −0.205710 0.613702i
\(245\) 10.2567 11.6955i 0.655274 0.747197i
\(246\) −7.14574 26.9469i −0.455596 1.71807i
\(247\) −0.784078 + 1.02183i −0.0498897 + 0.0650175i
\(248\) 17.8611 + 1.27359i 1.13418 + 0.0808728i
\(249\) 0.374128 + 0.216340i 0.0237094 + 0.0137100i
\(250\) −7.21410 12.5505i −0.456260 0.793765i
\(251\) 0.257639 + 0.385584i 0.0162620 + 0.0243379i 0.839512 0.543342i \(-0.182841\pi\)
−0.823250 + 0.567680i \(0.807841\pi\)
\(252\) 16.4576 21.2197i 1.03673 1.33672i
\(253\) −5.15421 + 1.02524i −0.324043 + 0.0644561i
\(254\) 2.56956 + 7.61750i 0.161229 + 0.477964i
\(255\) −7.92171 + 10.3093i −0.496077 + 0.645596i
\(256\) −13.7325 8.21096i −0.858278 0.513185i
\(257\) 1.24178 0.716939i 0.0774598 0.0447214i −0.460770 0.887520i \(-0.652427\pi\)
0.538230 + 0.842798i \(0.319093\pi\)
\(258\) 4.12041 + 20.9985i 0.256526 + 1.30731i
\(259\) −10.5481 3.58060i −0.655427 0.222488i
\(260\) 0.812697 0.103834i 0.0504013 0.00643953i
\(261\) 16.5863 + 14.5855i 1.02667 + 0.902821i
\(262\) 17.7856 + 10.3139i 1.09880 + 0.637196i
\(263\) 7.81334 5.99539i 0.481791 0.369691i −0.339124 0.940742i \(-0.610131\pi\)
0.820915 + 0.571050i \(0.193464\pi\)
\(264\) −8.60264 7.64242i −0.529456 0.470359i
\(265\) 0.167950 + 0.128873i 0.0103171 + 0.00791659i
\(266\) 21.9649 9.04899i 1.34675 0.554829i
\(267\) −0.234829 1.18475i −0.0143713 0.0725054i
\(268\) 0.652973 3.21836i 0.0398867 0.196593i
\(269\) 19.2937 + 12.8917i 1.17636 + 0.786018i 0.980865 0.194687i \(-0.0623691\pi\)
0.195494 + 0.980705i \(0.437369\pi\)
\(270\) −8.75542 + 0.539245i −0.532838 + 0.0328174i
\(271\) 7.36416 7.36416i 0.447341 0.447341i −0.447129 0.894470i \(-0.647553\pi\)
0.894470 + 0.447129i \(0.147553\pi\)
\(272\) −21.8785 + 12.4095i −1.32658 + 0.752436i
\(273\) −1.01971 + 2.45710i −0.0617156 + 0.148710i
\(274\) 12.2055 2.40357i 0.737360 0.145205i
\(275\) 0.549208 8.37930i 0.0331185 0.505291i
\(276\) −6.46348 + 4.27683i −0.389056 + 0.257435i
\(277\) 0.233509 0.266265i 0.0140302 0.0159983i −0.744782 0.667308i \(-0.767447\pi\)
0.758812 + 0.651309i \(0.225780\pi\)
\(278\) −3.10788 4.06635i −0.186399 0.243883i
\(279\) 18.8335 2.45360i 1.12753 0.146893i
\(280\) −13.9277 5.86282i −0.832337 0.350371i
\(281\) 14.5214 11.1426i 0.866273 0.664715i −0.0768920 0.997039i \(-0.524500\pi\)
0.943165 + 0.332325i \(0.107833\pi\)
\(282\) −7.85657 + 18.8295i −0.467852 + 1.12128i
\(283\) 9.44726 19.1571i 0.561581 1.13877i −0.412159 0.911112i \(-0.635225\pi\)
0.973740 0.227662i \(-0.0731081\pi\)
\(284\) −26.3002 + 6.93946i −1.56063 + 0.411781i
\(285\) −6.95742 3.43687i −0.412122 0.203582i
\(286\) 1.02142 + 0.506141i 0.0603981 + 0.0299287i
\(287\) 50.9384i 3.00680i
\(288\) −16.0095 5.62998i −0.943367 0.331750i
\(289\) 22.5416i 1.32598i
\(290\) 5.51851 11.1367i 0.324058 0.653970i
\(291\) 1.30320 + 20.0908i 0.0763947 + 1.17775i
\(292\) 6.63371 11.3891i 0.388208 0.666499i
\(293\) 5.19731 10.5391i 0.303630 0.615701i −0.690568 0.723268i \(-0.742639\pi\)
0.994198 + 0.107567i \(0.0343059\pi\)
\(294\) 25.3742 19.3662i 1.47985 1.12946i
\(295\) 11.6159 8.91322i 0.676306 0.518948i
\(296\) −0.0403697 + 7.03945i −0.00234644 + 0.409160i
\(297\) −10.5575 6.12394i −0.612609 0.355347i
\(298\) 11.5005 8.78976i 0.666205 0.509177i
\(299\) 0.506240 0.577256i 0.0292766 0.0333836i
\(300\) −3.92800 11.7448i −0.226783 0.678089i
\(301\) −2.55723 + 39.0158i −0.147396 + 2.24884i
\(302\) −5.41043 27.4744i −0.311335 1.58098i
\(303\) −0.173830 0.226857i −0.00998630 0.0130326i
\(304\) −9.81199 11.3625i −0.562756 0.651685i
\(305\) −4.26709 + 4.26709i −0.244333 + 0.244333i
\(306\) −20.1153 + 17.5249i −1.14992 + 1.00183i
\(307\) −21.4970 14.3639i −1.22690 0.819788i −0.238423 0.971161i \(-0.576631\pi\)
−0.988477 + 0.151373i \(0.951631\pi\)
\(308\) −11.6142 17.5265i −0.661778 0.998664i
\(309\) −13.3882 + 11.7251i −0.761625 + 0.667018i
\(310\) −4.07110 9.88189i −0.231223 0.561253i
\(311\) −13.4743 10.3392i −0.764058 0.586282i 0.151505 0.988456i \(-0.451588\pi\)
−0.915563 + 0.402174i \(0.868255\pi\)
\(312\) 1.67686 + 0.120707i 0.0949333 + 0.00683367i
\(313\) 15.2121 11.6727i 0.859839 0.659777i −0.0817093 0.996656i \(-0.526038\pi\)
0.941548 + 0.336879i \(0.109371\pi\)
\(314\) −7.69648 + 13.2720i −0.434338 + 0.748985i
\(315\) −15.7158 3.14814i −0.885483 0.177377i
\(316\) 12.3450 + 9.54786i 0.694461 + 0.537109i
\(317\) −21.4947 7.29648i −1.20726 0.409811i −0.355969 0.934498i \(-0.615849\pi\)
−0.851295 + 0.524687i \(0.824182\pi\)
\(318\) 0.285572 + 0.327337i 0.0160141 + 0.0183562i
\(319\) 14.9764 8.64664i 0.838519 0.484119i
\(320\) −0.733836 + 9.52152i −0.0410227 + 0.532269i
\(321\) −5.64812 13.6619i −0.315247 0.762531i
\(322\) −13.4184 + 4.52633i −0.747776 + 0.252243i
\(323\) −23.1473 + 4.60429i −1.28795 + 0.256189i
\(324\) −17.8303 2.46586i −0.990572 0.136992i
\(325\) 0.681604 + 1.02009i 0.0378086 + 0.0565845i
\(326\) 25.6321 14.7334i 1.41963 0.816009i
\(327\) −0.0180806 + 26.7715i −0.000999860 + 1.48047i
\(328\) −30.5415 + 10.1725i −1.68637 + 0.561682i
\(329\) −22.6944 + 29.5759i −1.25118 + 1.63057i
\(330\) −1.79475 + 6.62945i −0.0987977 + 0.364939i
\(331\) 13.2073 15.0600i 0.725939 0.827774i −0.264693 0.964333i \(-0.585271\pi\)
0.990632 + 0.136558i \(0.0436041\pi\)
\(332\) 0.222426 0.446721i 0.0122072 0.0245170i
\(333\) 1.44677 + 7.32508i 0.0792823 + 0.401412i
\(334\) 5.52522 2.71162i 0.302326 0.148373i
\(335\) −1.89326 + 0.507298i −0.103440 + 0.0277166i
\(336\) −25.6381 17.4412i −1.39867 0.951494i
\(337\) 3.39834 + 0.910584i 0.185120 + 0.0496027i 0.350188 0.936680i \(-0.386118\pi\)
−0.165068 + 0.986282i \(0.552784\pi\)
\(338\) 17.8749 3.52004i 0.972268 0.191465i
\(339\) 3.68906 + 10.8918i 0.200362 + 0.591560i
\(340\) 12.4506 + 8.38828i 0.675231 + 0.454918i
\(341\) 2.90107 14.5847i 0.157102 0.789804i
\(342\) −12.6012 9.73471i −0.681395 0.526393i
\(343\) 24.9395 10.3303i 1.34661 0.557783i
\(344\) 23.9037 6.25827i 1.28880 0.337423i
\(345\) 4.00455 + 2.31564i 0.215598 + 0.124670i
\(346\) 15.1200 + 15.1780i 0.812858 + 0.815972i
\(347\) 13.0834 + 6.45202i 0.702354 + 0.346362i 0.758150 0.652080i \(-0.226103\pi\)
−0.0557969 + 0.998442i \(0.517770\pi\)
\(348\) 15.6168 20.1637i 0.837147 1.08089i
\(349\) 5.34431 + 1.81415i 0.286074 + 0.0971091i 0.460788 0.887510i \(-0.347567\pi\)
−0.174714 + 0.984619i \(0.555900\pi\)
\(350\) −1.43679 22.5826i −0.0767998 1.20709i
\(351\) 1.76839 0.229169i 0.0943897 0.0122321i
\(352\) −8.18911 + 10.4636i −0.436481 + 0.557714i
\(353\) −10.0911 + 17.4783i −0.537094 + 0.930275i 0.461965 + 0.886898i \(0.347145\pi\)
−0.999059 + 0.0433762i \(0.986189\pi\)
\(354\) 26.9801 13.2185i 1.43398 0.702554i
\(355\) 10.7043 + 12.2059i 0.568126 + 0.647824i
\(356\) −1.34849 + 0.355807i −0.0714699 + 0.0188578i
\(357\) −43.7339 + 21.5305i −2.31464 + 1.13951i
\(358\) −4.13992 + 15.3331i −0.218801 + 0.810378i
\(359\) −0.939618 + 2.26844i −0.0495911 + 0.119724i −0.946734 0.322018i \(-0.895639\pi\)
0.897143 + 0.441741i \(0.145639\pi\)
\(360\) 1.25092 + 10.0515i 0.0659292 + 0.529761i
\(361\) 1.88036 + 4.53960i 0.0989665 + 0.238926i
\(362\) −1.20528 9.29223i −0.0633481 0.488389i
\(363\) 7.14410 6.25668i 0.374968 0.328390i
\(364\) 2.90502 + 0.998523i 0.152264 + 0.0523368i
\(365\) −7.84991 0.514510i −0.410883 0.0269307i
\(366\) −10.3137 + 6.85287i −0.539106 + 0.358205i
\(367\) 5.72292 1.53345i 0.298734 0.0800456i −0.106339 0.994330i \(-0.533913\pi\)
0.405073 + 0.914284i \(0.367246\pi\)
\(368\) 5.39356 + 7.14143i 0.281159 + 0.372273i
\(369\) −29.5924 + 17.0319i −1.54052 + 0.886646i
\(370\) 3.77187 1.85113i 0.196090 0.0962355i
\(371\) 0.351053 + 0.711865i 0.0182258 + 0.0369582i
\(372\) −4.18169 21.5285i −0.216810 1.11620i
\(373\) 16.0175 5.43722i 0.829357 0.281529i 0.125699 0.992068i \(-0.459882\pi\)
0.703657 + 0.710540i \(0.251549\pi\)
\(374\) 7.95665 + 19.3134i 0.411429 + 0.998672i
\(375\) −12.5452 + 12.5282i −0.647830 + 0.646956i
\(376\) 22.2651 + 7.70067i 1.14824 + 0.397131i
\(377\) −0.966878 + 2.33425i −0.0497967 + 0.120220i
\(378\) −30.3358 12.7057i −1.56031 0.653509i
\(379\) −5.09572 + 3.40485i −0.261750 + 0.174895i −0.679520 0.733657i \(-0.737812\pi\)
0.417770 + 0.908553i \(0.362812\pi\)
\(380\) −3.46066 + 8.26524i −0.177528 + 0.423998i
\(381\) 8.19033 5.46460i 0.419603 0.279960i
\(382\) −2.25751 + 11.2369i −0.115504 + 0.574932i
\(383\) 13.2541 + 22.9568i 0.677254 + 1.17304i 0.975804 + 0.218645i \(0.0701637\pi\)
−0.298550 + 0.954394i \(0.596503\pi\)
\(384\) −5.33735 + 18.8550i −0.272370 + 0.962192i
\(385\) −6.27460 + 10.8679i −0.319783 + 0.553881i
\(386\) −12.4568 10.9665i −0.634033 0.558180i
\(387\) 23.5211 11.5598i 1.19564 0.587620i
\(388\) 23.0602 2.94629i 1.17070 0.149575i
\(389\) −1.89321 28.8848i −0.0959895 1.46452i −0.725874 0.687828i \(-0.758564\pi\)
0.629885 0.776689i \(-0.283102\pi\)
\(390\) −0.381600 0.928046i −0.0193230 0.0469934i
\(391\) 13.9484 1.83635i 0.705403 0.0928681i
\(392\) −24.1431 27.8505i −1.21941 1.40666i
\(393\) 6.53363 24.3181i 0.329578 1.22669i
\(394\) −0.439299 + 0.570245i −0.0221316 + 0.0287285i
\(395\) 1.81724 9.13587i 0.0914351 0.459675i
\(396\) −6.29857 + 12.6074i −0.316515 + 0.633545i
\(397\) −7.50704 + 11.2351i −0.376767 + 0.563872i −0.970594 0.240721i \(-0.922616\pi\)
0.593827 + 0.804593i \(0.297616\pi\)
\(398\) −0.00169166 + 0.0250752i −8.47952e−5 + 0.00125690i
\(399\) −17.6962 23.0944i −0.885919 1.15617i
\(400\) −13.2531 + 5.37125i −0.662653 + 0.268562i
\(401\) 1.58731 5.92392i 0.0792664 0.295826i −0.914900 0.403680i \(-0.867731\pi\)
0.994167 + 0.107853i \(0.0343977\pi\)
\(402\) −4.01404 + 0.252667i −0.200202 + 0.0126019i
\(403\) 0.960911 + 1.94853i 0.0478664 + 0.0970634i
\(404\) −0.248947 + 0.216642i −0.0123856 + 0.0107784i
\(405\) 3.42588 + 10.1826i 0.170233 + 0.505978i
\(406\) 37.0247 28.2978i 1.83751 1.40440i
\(407\) 5.79599 + 0.763057i 0.287297 + 0.0378233i
\(408\) 21.6429 + 21.9222i 1.07148 + 1.08531i
\(409\) 25.7440 3.38926i 1.27296 0.167588i 0.536401 0.843964i \(-0.319784\pi\)
0.736557 + 0.676376i \(0.236450\pi\)
\(410\) 13.5600 + 13.6120i 0.669682 + 0.672247i
\(411\) −6.72934 13.6690i −0.331934 0.674243i
\(412\) 14.4752 + 14.5864i 0.713144 + 0.718618i
\(413\) 53.8412 10.7097i 2.64935 0.526989i
\(414\) 7.11615 + 6.28189i 0.349740 + 0.308738i
\(415\) −0.297852 −0.0146210
\(416\) 0.0185542 1.94119i 0.000909694 0.0951746i
\(417\) −3.81924 + 4.97037i −0.187029 + 0.243400i
\(418\) −10.3794 + 6.90664i −0.507674 + 0.337815i
\(419\) 23.2181 20.3617i 1.13428 0.994736i 0.134286 0.990943i \(-0.457126\pi\)
0.999993 0.00379298i \(-0.00120735\pi\)
\(420\) −2.49824 + 18.3381i −0.121901 + 0.894809i
\(421\) 0.503807 + 7.68661i 0.0245540 + 0.374622i 0.992398 + 0.123071i \(0.0392742\pi\)
−0.967844 + 0.251552i \(0.919059\pi\)
\(422\) −30.3429 + 8.06821i −1.47707 + 0.392754i
\(423\) 24.7701 + 3.29509i 1.20436 + 0.160213i
\(424\) 0.356712 0.352644i 0.0173235 0.0171259i
\(425\) −2.93430 + 22.2882i −0.142335 + 1.08114i
\(426\) 16.5820 + 28.8933i 0.803401 + 1.39988i
\(427\) −21.4248 + 7.27275i −1.03682 + 0.351953i
\(428\) −15.3387 + 7.49144i −0.741424 + 0.362112i
\(429\) 0.273300 1.36914i 0.0131950 0.0661026i
\(430\) −9.70282 11.1067i −0.467912 0.535613i
\(431\) −21.4933 + 21.4933i −1.03529 + 1.03529i −0.0359395 + 0.999354i \(0.511442\pi\)
−0.999354 + 0.0359395i \(0.988558\pi\)
\(432\) −1.55992 + 20.7260i −0.0750516 + 0.997180i
\(433\) 15.0724 + 15.0724i 0.724332 + 0.724332i 0.969485 0.245152i \(-0.0788380\pi\)
−0.245152 + 0.969485i \(0.578838\pi\)
\(434\) 2.69723 39.9806i 0.129471 1.91913i
\(435\) −14.9279 2.97982i −0.715736 0.142871i
\(436\) 30.8543 1.90386i 1.47766 0.0911785i
\(437\) 2.69916 + 7.95148i 0.129118 + 0.380371i
\(438\) −15.5815 4.21829i −0.744514 0.201558i
\(439\) −6.27982 0.826754i −0.299719 0.0394588i −0.0208332 0.999783i \(-0.506632\pi\)
−0.278886 + 0.960324i \(0.589965\pi\)
\(440\) 7.76920 + 1.59176i 0.370382 + 0.0758842i
\(441\) −30.9833 23.8409i −1.47540 1.13528i
\(442\) −2.64001 1.53094i −0.125572 0.0728196i
\(443\) −1.26625 + 0.0829944i −0.0601614 + 0.00394319i −0.0954541 0.995434i \(-0.530430\pi\)
0.0352927 + 0.999377i \(0.488764\pi\)
\(444\) 8.33785 2.19397i 0.395697 0.104121i
\(445\) 0.548844 + 0.625836i 0.0260177 + 0.0296675i
\(446\) 2.87244 14.2979i 0.136014 0.677023i
\(447\) −14.0573 10.8016i −0.664886 0.510899i
\(448\) −18.2570 + 30.8008i −0.862564 + 1.45520i
\(449\) 1.98482i 0.0936695i 0.998903 + 0.0468348i \(0.0149134\pi\)
−0.998903 + 0.0468348i \(0.985087\pi\)
\(450\) −12.6388 + 8.38547i −0.595799 + 0.395295i
\(451\) 5.21536 + 26.2194i 0.245582 + 1.23462i
\(452\) 12.2871 5.03454i 0.577937 0.236805i
\(453\) −30.7689 + 15.1477i −1.44565 + 0.711701i
\(454\) −17.3928 0.0332476i −0.816284 0.00156039i
\(455\) −0.239314 1.81777i −0.0112192 0.0852184i
\(456\) −10.3129 + 15.2222i −0.482947 + 0.712847i
\(457\) 3.13306 23.7979i 0.146558 1.11322i −0.747177 0.664625i \(-0.768591\pi\)
0.893735 0.448595i \(-0.148076\pi\)
\(458\) 37.4613 + 5.00474i 1.75045 + 0.233856i
\(459\) 27.1310 + 18.2080i 1.26637 + 0.849876i
\(460\) 2.38078 4.78157i 0.111004 0.222942i
\(461\) 17.4915 8.62586i 0.814661 0.401746i 0.0132884 0.999912i \(-0.495770\pi\)
0.801373 + 0.598165i \(0.204103\pi\)
\(462\) −17.0287 + 19.3164i −0.792245 + 0.898682i
\(463\) 18.8651 + 5.05489i 0.876735 + 0.234920i 0.668998 0.743264i \(-0.266723\pi\)
0.207737 + 0.978185i \(0.433390\pi\)
\(464\) −24.3606 16.5481i −1.13091 0.768225i
\(465\) −10.3901 + 7.96144i −0.481828 + 0.369203i
\(466\) 3.90447 3.41095i 0.180871 0.158009i
\(467\) 6.83912 + 4.56975i 0.316477 + 0.211463i 0.703655 0.710542i \(-0.251550\pi\)
−0.387178 + 0.922005i \(0.626550\pi\)
\(468\) −0.391244 2.02152i −0.0180853 0.0934450i
\(469\) −7.20765 1.43369i −0.332818 0.0662017i
\(470\) −1.80875 13.9447i −0.0834312 0.643222i
\(471\) 18.1467 + 4.87554i 0.836157 + 0.224653i
\(472\) −17.1735 30.1432i −0.790473 1.38745i
\(473\) −2.67838 20.3443i −0.123152 0.935433i
\(474\) 7.36023 17.6400i 0.338067 0.810230i
\(475\) −13.3890 + 0.877563i −0.614331 + 0.0402654i
\(476\) 27.9572 + 48.8537i 1.28142 + 2.23921i
\(477\) 0.296175 0.441964i 0.0135609 0.0202361i
\(478\) 10.1352 0.644843i 0.463575 0.0294944i
\(479\) 18.1600 + 10.4847i 0.829754 + 0.479058i 0.853768 0.520653i \(-0.174312\pi\)
−0.0240147 + 0.999712i \(0.507645\pi\)
\(480\) 11.4940 2.16427i 0.524628 0.0987851i
\(481\) −0.739681 + 0.427055i −0.0337265 + 0.0194720i
\(482\) −33.1379 + 22.0505i −1.50939 + 1.00437i
\(483\) 9.62600 + 14.4274i 0.437998 + 0.656470i
\(484\) −7.72419 7.78348i −0.351100 0.353794i
\(485\) −7.70886 11.5371i −0.350041 0.523874i
\(486\) 2.76188 + 21.8717i 0.125281 + 0.992121i
\(487\) 10.8083 + 4.47695i 0.489772 + 0.202870i 0.613881 0.789398i \(-0.289607\pi\)
−0.124109 + 0.992269i \(0.539607\pi\)
\(488\) 8.63915 + 11.3935i 0.391076 + 0.515758i
\(489\) −25.5866 25.6212i −1.15707 1.15863i
\(490\) −8.45758 + 20.3085i −0.382075 + 0.917445i
\(491\) 2.37506 + 6.99670i 0.107185 + 0.315757i 0.987269 0.159062i \(-0.0508470\pi\)
−0.880084 + 0.474819i \(0.842514\pi\)
\(492\) 21.7561 + 32.8796i 0.980841 + 1.48233i
\(493\) −41.5219 + 20.4763i −1.87005 + 0.922207i
\(494\) 0.588796 1.72370i 0.0264912 0.0775531i
\(495\) 8.41165 + 0.0113619i 0.378076 + 0.000510681i
\(496\) −24.5101 + 6.36699i −1.10053 + 0.285886i
\(497\) 15.7542 + 58.7953i 0.706671 + 2.63733i
\(498\) −0.599133 0.120787i −0.0268478 0.00541259i
\(499\) 1.81454 27.6846i 0.0812301 1.23933i −0.741521 0.670930i \(-0.765895\pi\)
0.822751 0.568402i \(-0.192438\pi\)
\(500\) 15.3402 + 13.5571i 0.686036 + 0.606293i
\(501\) −4.96631 5.67072i −0.221879 0.253349i
\(502\) −0.519537 0.400235i −0.0231881 0.0178634i
\(503\) −16.4955 + 6.83266i −0.735498 + 0.304653i −0.718809 0.695208i \(-0.755312\pi\)
−0.0166887 + 0.999861i \(0.505312\pi\)
\(504\) −12.4618 + 35.8743i −0.555094 + 1.59797i
\(505\) 0.181978 + 0.0753776i 0.00809790 + 0.00335426i
\(506\) 6.44336 3.70367i 0.286442 0.164648i
\(507\) −9.85513 20.0183i −0.437682 0.889044i
\(508\) −6.88657 9.04616i −0.305542 0.401358i
\(509\) 31.2101 27.3705i 1.38336 1.21318i 0.433249 0.901274i \(-0.357367\pi\)
0.950114 0.311903i \(-0.100966\pi\)
\(510\) 5.95525 17.3956i 0.263703 0.770291i
\(511\) −25.5434 14.7475i −1.12997 0.652391i
\(512\) 22.1134 + 4.79552i 0.977284 + 0.211934i
\(513\) −7.49962 + 18.0024i −0.331116 + 0.794827i
\(514\) −1.33994 + 1.52203i −0.0591022 + 0.0671339i
\(515\) 3.94257 11.6144i 0.173730 0.511793i
\(516\) −15.0133 26.2760i −0.660922 1.15674i
\(517\) 8.65326 17.5471i 0.380570 0.771719i
\(518\) 15.7533 + 0.0301136i 0.692159 + 0.00132311i
\(519\) 13.1348 22.7147i 0.576553 0.997063i
\(520\) −1.04210 + 0.506499i −0.0456992 + 0.0222115i
\(521\) 0.208354 + 0.503010i 0.00912814 + 0.0220373i 0.928378 0.371638i \(-0.121204\pi\)
−0.919250 + 0.393675i \(0.871204\pi\)
\(522\) −28.8192 12.0476i −1.26138 0.527308i
\(523\) −16.5593 3.29386i −0.724089 0.144030i −0.180732 0.983532i \(-0.557847\pi\)
−0.543357 + 0.839502i \(0.682847\pi\)
\(524\) −28.4954 5.78142i −1.24483 0.252563i
\(525\) −26.2491 + 8.89059i −1.14560 + 0.388017i
\(526\) −7.76004 + 11.5658i −0.338354 + 0.504293i
\(527\) −10.3036 + 38.4534i −0.448831 + 1.67506i
\(528\) 14.9823 + 6.35247i 0.652023 + 0.276456i
\(529\) 4.65728 + 17.3812i 0.202490 + 0.755705i
\(530\) −0.283311 0.0967756i −0.0123063 0.00420366i
\(531\) −24.2242 27.6978i −1.05124 1.20198i
\(532\) −25.3432 + 22.0545i −1.09877 + 0.956185i
\(533\) −2.93649 2.57523i −0.127193 0.111546i
\(534\) 0.850212 + 1.48145i 0.0367923 + 0.0641085i
\(535\) 8.08316 + 6.20243i 0.349466 + 0.268154i
\(536\) 0.579773 + 4.60785i 0.0250424 + 0.199029i
\(537\) 19.4516 + 0.0131370i 0.839397 + 0.000566902i
\(538\) −31.6815 8.55396i −1.36588 0.368788i
\(539\) −25.4504 + 17.0054i −1.09623 + 0.732476i
\(540\) 11.4888 4.68026i 0.494397 0.201406i
\(541\) −5.58762 28.0909i −0.240231 1.20772i −0.892962 0.450132i \(-0.851377\pi\)
0.652732 0.757589i \(-0.273623\pi\)
\(542\) −6.53941 + 13.1970i −0.280892 + 0.566858i
\(543\) −10.6054 + 4.38449i −0.455119 + 0.188157i
\(544\) 23.7085 26.5187i 1.01649 1.13698i
\(545\) −9.22537 15.9788i −0.395171 0.684457i
\(546\) 0.255772 3.75351i 0.0109460 0.160636i
\(547\) 10.5967 31.2169i 0.453083 1.33474i −0.445244 0.895409i \(-0.646883\pi\)
0.898326 0.439329i \(-0.144784\pi\)
\(548\) −15.2692 + 8.73801i −0.652268 + 0.373269i
\(549\) 11.3887 + 10.0149i 0.486060 + 0.427426i
\(550\) 3.05168 + 11.4767i 0.130124 + 0.489370i
\(551\) −16.8215 21.9223i −0.716622 0.933920i
\(552\) 6.72802 8.65271i 0.286363 0.368284i
\(553\) 21.2606 27.7074i 0.904094 1.17824i
\(554\) −0.192550 + 0.462354i −0.00818065 + 0.0196436i
\(555\) −3.39033 3.87120i −0.143912 0.164323i
\(556\) 6.00274 + 4.04418i 0.254573 + 0.171511i
\(557\) −12.7979 + 19.1535i −0.542266 + 0.811559i −0.996864 0.0791381i \(-0.974783\pi\)
0.454597 + 0.890697i \(0.349783\pi\)
\(558\) −24.1283 + 11.8011i −1.02143 + 0.499579i
\(559\) 2.11989 + 2.11989i 0.0896619 + 0.0896619i
\(560\) 21.3136 + 1.56072i 0.900663 + 0.0659525i
\(561\) 20.3066 15.5600i 0.857346 0.656945i
\(562\) −14.4223 + 21.4955i −0.608369 + 0.906731i
\(563\) 11.4802 + 0.752451i 0.483832 + 0.0317120i 0.305368 0.952234i \(-0.401220\pi\)
0.178464 + 0.983946i \(0.442887\pi\)
\(564\) 2.01664 28.7834i 0.0849161 1.21200i
\(565\) −5.95865 5.22560i −0.250682 0.219843i
\(566\) −4.00011 + 29.9415i −0.168137 + 1.25853i
\(567\) −5.36557 + 39.9218i −0.225333 + 1.67656i
\(568\) 32.1062 21.1874i 1.34715 0.889002i
\(569\) −27.3137 35.5960i −1.14505 1.49226i −0.842154 0.539237i \(-0.818713\pi\)
−0.302897 0.953023i \(-0.597954\pi\)
\(570\) 10.8767 + 1.46058i 0.455574 + 0.0611769i
\(571\) −39.6272 19.5420i −1.65835 0.817807i −0.997748 0.0670690i \(-0.978635\pi\)
−0.660600 0.750738i \(-0.729698\pi\)
\(572\) −1.59753 0.216535i −0.0667959 0.00905377i
\(573\) 14.0079 0.908628i 0.585190 0.0379585i
\(574\) 23.0254 + 68.2589i 0.961060 + 2.84907i
\(575\) 7.99854 0.333562
\(576\) 23.9980 + 0.307676i 0.999918 + 0.0128198i
\(577\) 1.38145 0.0575106 0.0287553 0.999586i \(-0.490846\pi\)
0.0287553 + 0.999586i \(0.490846\pi\)
\(578\) −10.1893 30.2064i −0.423820 1.25642i
\(579\) −9.00234 + 18.2239i −0.374125 + 0.757360i
\(580\) −2.36090 + 17.4180i −0.0980311 + 0.723243i
\(581\) −1.00158 0.493924i −0.0415525 0.0204914i
\(582\) −10.8278 26.3332i −0.448829 1.09155i
\(583\) −0.253581 0.330473i −0.0105023 0.0136868i
\(584\) −3.74120 + 18.2604i −0.154812 + 0.755619i
\(585\) −0.976006 + 0.746823i −0.0403529 + 0.0308773i
\(586\) −2.20062 + 16.4720i −0.0909069 + 0.680452i
\(587\) 20.9512 + 18.3737i 0.864748 + 0.758364i 0.971779 0.235892i \(-0.0758011\pi\)
−0.107031 + 0.994256i \(0.534134\pi\)
\(588\) −25.2482 + 37.4210i −1.04122 + 1.54322i
\(589\) −23.7101 1.55404i −0.976957 0.0640332i
\(590\) −11.5367 + 17.1946i −0.474958 + 0.707892i
\(591\) 0.814278 + 0.337929i 0.0334949 + 0.0139006i
\(592\) −3.12790 9.45131i −0.128556 0.388446i
\(593\) 2.18349 + 2.18349i 0.0896651 + 0.0896651i 0.750517 0.660852i \(-0.229805\pi\)
−0.660852 + 0.750517i \(0.729805\pi\)
\(594\) 16.9155 + 3.43400i 0.694052 + 0.140899i
\(595\) 18.6648 27.9339i 0.765183 1.14518i
\(596\) −11.4378 + 16.9770i −0.468510 + 0.695405i
\(597\) 0.0301931 0.00598459i 0.00123572 0.000244933i
\(598\) −0.417442 + 1.00237i −0.0170705 + 0.0409900i
\(599\) 9.81939 12.7969i 0.401210 0.522866i −0.548436 0.836192i \(-0.684777\pi\)
0.949646 + 0.313326i \(0.101443\pi\)
\(600\) 10.5726 + 13.9629i 0.431624 + 0.570032i
\(601\) 23.1152 + 30.1243i 0.942887 + 1.22879i 0.973366 + 0.229258i \(0.0736301\pi\)
−0.0304789 + 0.999535i \(0.509703\pi\)
\(602\) −14.2093 53.4382i −0.579128 2.17798i
\(603\) 1.57708 + 4.66662i 0.0642235 + 0.190039i
\(604\) 19.6692 + 34.3709i 0.800328 + 1.39853i
\(605\) −2.10381 + 6.19762i −0.0855319 + 0.251969i
\(606\) 0.335482 + 0.225420i 0.0136280 + 0.00915705i
\(607\) −19.9172 34.4976i −0.808414 1.40021i −0.913962 0.405800i \(-0.866993\pi\)
0.105548 0.994414i \(-0.466340\pi\)
\(608\) 18.2845 + 10.7909i 0.741533 + 0.437627i
\(609\) −45.2561 34.7748i −1.83387 1.40915i
\(610\) 3.78919 7.64684i 0.153420 0.309611i
\(611\) 0.557653 + 2.80351i 0.0225602 + 0.113418i
\(612\) 19.0334 32.5765i 0.769381 1.31683i
\(613\) −23.4029 + 15.6373i −0.945234 + 0.631585i −0.929709 0.368294i \(-0.879942\pi\)
−0.0155250 + 0.999879i \(0.504942\pi\)
\(614\) 35.2994 + 9.53081i 1.42457 + 0.384632i
\(615\) 11.7796 20.3711i 0.474999 0.821441i
\(616\) 23.4857 + 18.2361i 0.946265 + 0.734754i
\(617\) −9.35477 7.17817i −0.376609 0.288982i 0.403061 0.915173i \(-0.367946\pi\)
−0.779670 + 0.626191i \(0.784613\pi\)
\(618\) 12.6405 21.7637i 0.508475 0.875466i
\(619\) −6.54035 5.73573i −0.262879 0.230539i 0.517752 0.855531i \(-0.326769\pi\)
−0.780631 + 0.624992i \(0.785102\pi\)
\(620\) 9.92223 + 11.4018i 0.398486 + 0.457906i
\(621\) 5.16295 10.4162i 0.207182 0.417986i
\(622\) 22.7295 + 7.76411i 0.911370 + 0.311313i
\(623\) 0.807765 + 3.01462i 0.0323624 + 0.120778i
\(624\) −2.30160 + 0.596228i −0.0921377 + 0.0238682i
\(625\) −1.46389 + 5.46332i −0.0585557 + 0.218533i
\(626\) −15.1083 + 22.5179i −0.603850 + 0.899997i
\(627\) 11.4732 + 10.0755i 0.458197 + 0.402376i
\(628\) 4.31423 21.2639i 0.172157 0.848522i
\(629\) −15.3498 3.05326i −0.612035 0.121741i
\(630\) 22.4826 2.88531i 0.895728 0.114953i
\(631\) −8.03239 19.3919i −0.319765 0.771980i −0.999266 0.0383059i \(-0.987804\pi\)
0.679501 0.733674i \(-0.262196\pi\)
\(632\) −20.8585 7.21417i −0.829707 0.286964i
\(633\) 19.2043 + 33.3147i 0.763302 + 1.32414i
\(634\) 32.1017 + 0.0613649i 1.27492 + 0.00243711i
\(635\) −3.00128 + 6.08599i −0.119102 + 0.241515i
\(636\) −0.530639 0.309556i −0.0210412 0.0122747i
\(637\) 1.43748 4.23469i 0.0569551 0.167784i
\(638\) −16.1603 + 18.3564i −0.639794 + 0.726738i
\(639\) 28.8892 28.8113i 1.14284 1.13976i
\(640\) −3.32059 13.0908i −0.131258 0.517460i
\(641\) −31.7280 18.3182i −1.25318 0.723525i −0.281441 0.959578i \(-0.590813\pi\)
−0.971740 + 0.236054i \(0.924146\pi\)
\(642\) 13.7441 + 15.7542i 0.542437 + 0.621769i
\(643\) 16.0768 14.0990i 0.634009 0.556011i −0.280867 0.959747i \(-0.590622\pi\)
0.914875 + 0.403736i \(0.132289\pi\)
\(644\) 15.9350 12.1308i 0.627926 0.478022i
\(645\) −10.0452 + 15.0117i −0.395528 + 0.591084i
\(646\) 28.9368 16.6330i 1.13850 0.654417i
\(647\) 8.94640 + 3.70572i 0.351719 + 0.145687i 0.551546 0.834144i \(-0.314038\pi\)
−0.199827 + 0.979831i \(0.564038\pi\)
\(648\) 25.0077 4.75539i 0.982396 0.186809i
\(649\) −26.6170 + 11.0251i −1.04481 + 0.432774i
\(650\) −1.37447 1.05885i −0.0539113 0.0415316i
\(651\) −48.1407 + 9.54199i −1.88678 + 0.373980i
\(652\) −27.6879 + 31.3295i −1.08434 + 1.22696i
\(653\) −0.330390 + 5.04078i −0.0129292 + 0.197261i 0.986508 + 0.163713i \(0.0523472\pi\)
−0.999437 + 0.0335475i \(0.989319\pi\)
\(654\) −12.0771 35.8827i −0.472252 1.40312i
\(655\) 4.49162 + 16.7629i 0.175502 + 0.654982i
\(656\) 36.3283 27.4369i 1.41838 1.07123i
\(657\) −0.0267045 + 19.7703i −0.00104184 + 0.771314i
\(658\) 17.0421 49.8909i 0.664370 1.94495i
\(659\) 20.2022 9.96262i 0.786966 0.388089i −0.00396652 0.999992i \(-0.501263\pi\)
0.790932 + 0.611903i \(0.209596\pi\)
\(660\) −0.591651 9.69491i −0.0230300 0.377374i
\(661\) 12.1115 + 35.6794i 0.471083 + 1.38777i 0.879904 + 0.475152i \(0.157607\pi\)
−0.408821 + 0.912615i \(0.634060\pi\)
\(662\) −10.8907 + 26.1509i −0.423277 + 1.01638i
\(663\) −0.969817 + 3.60965i −0.0376646 + 0.140187i
\(664\) −0.0961283 + 0.699160i −0.00373050 + 0.0271327i
\(665\) 18.5256 + 7.67356i 0.718392 + 0.297568i
\(666\) −5.24981 9.16184i −0.203426 0.355014i
\(667\) 9.15142 + 13.6961i 0.354344 + 0.530314i
\(668\) −6.17823 + 6.13117i −0.239043 + 0.237222i
\(669\) −17.8237 + 1.15614i −0.689102 + 0.0446988i
\(670\) 2.30771 1.53559i 0.0891547 0.0593250i
\(671\) 10.2833 5.93707i 0.396983 0.229198i
\(672\) 42.2396 + 11.7826i 1.62943 + 0.454525i
\(673\) −37.6755 21.7520i −1.45228 0.838477i −0.453674 0.891168i \(-0.649887\pi\)
−0.998611 + 0.0526909i \(0.983220\pi\)
\(674\) −4.96548 + 0.315923i −0.191263 + 0.0121689i
\(675\) 13.9417 + 12.2766i 0.536614 + 0.472525i
\(676\) −22.3618 + 12.7968i −0.860068 + 0.492186i
\(677\) 11.9540 0.783509i 0.459431 0.0301127i 0.166069 0.986114i \(-0.446893\pi\)
0.293362 + 0.956001i \(0.405226\pi\)
\(678\) −9.86677 12.9277i −0.378931 0.496487i
\(679\) −6.79051 51.5790i −0.260596 1.97942i
\(680\) −20.4759 5.61255i −0.785215 0.215231i
\(681\) 5.49940 + 20.5796i 0.210738 + 0.788613i
\(682\) 2.70509 + 20.8552i 0.103583 + 0.798588i
\(683\) 34.6417 + 6.89065i 1.32553 + 0.263664i 0.806571 0.591138i \(-0.201321\pi\)
0.518956 + 0.854801i \(0.326321\pi\)
\(684\) 21.2863 + 7.34876i 0.813901 + 0.280987i
\(685\) 8.73072 + 5.83368i 0.333584 + 0.222893i
\(686\) −28.7501 + 25.1161i −1.09768 + 0.958937i
\(687\) −6.01082 45.8962i −0.229327 1.75105i
\(688\) −29.2027 + 19.1913i −1.11334 + 0.731661i
\(689\) 0.0587852 + 0.0157515i 0.00223954 + 0.000600082i
\(690\) −6.41294 1.29287i −0.244136 0.0492186i
\(691\) 5.47332 2.69914i 0.208215 0.102680i −0.335191 0.942150i \(-0.608801\pi\)
0.543406 + 0.839470i \(0.317134\pi\)
\(692\) −27.1221 13.5043i −1.03103 0.513356i
\(693\) 28.2668 + 13.9871i 1.07377 + 0.531327i
\(694\) −20.4486 2.73188i −0.776218 0.103701i
\(695\) 0.563880 4.28309i 0.0213892 0.162467i
\(696\) −11.8124 + 34.0791i −0.447750 + 1.29176i
\(697\) −9.34146 70.9554i −0.353833 2.68763i
\(698\) −7.98156 0.0152574i −0.302106 0.000577499i
\(699\) −5.27723 3.53129i −0.199603 0.133566i
\(700\) 12.1332 + 29.6118i 0.458592 + 1.11922i
\(701\) −3.51659 17.6791i −0.132820 0.667730i −0.988621 0.150426i \(-0.951936\pi\)
0.855802 0.517304i \(-0.173064\pi\)
\(702\) −2.26610 + 1.10645i −0.0855285 + 0.0417601i
\(703\) 9.34115i 0.352308i
\(704\) 6.24383 17.7233i 0.235323 0.667970i
\(705\) −15.9153 + 6.57975i −0.599405 + 0.247808i
\(706\) 5.62175 27.9828i 0.211577 1.05315i
\(707\) 0.486933 + 0.555241i 0.0183130 + 0.0208820i
\(708\) −30.1791 + 29.9088i −1.13420 + 1.12404i
\(709\) 15.6357 1.02482i 0.587212 0.0384879i 0.231098 0.972930i \(-0.425768\pi\)
0.356114 + 0.934443i \(0.384102\pi\)
\(710\) −19.8615 11.5177i −0.745387 0.432251i
\(711\) −23.2052 3.08692i −0.870264 0.115769i
\(712\) 1.64618 1.08634i 0.0616934 0.0407124i
\(713\) 14.0431 + 1.84881i 0.525919 + 0.0692385i
\(714\) 48.8724 48.6202i 1.82900 1.81957i
\(715\) 0.309295 + 0.911153i 0.0115670 + 0.0340752i
\(716\) −1.38330 22.4181i −0.0516965 0.837803i
\(717\) −3.99016 11.7808i −0.149015 0.439961i
\(718\) 0.233727 3.46450i 0.00872262 0.129294i
\(719\) −35.9827 35.9827i −1.34193 1.34193i −0.894140 0.447788i \(-0.852212\pi\)
−0.447788 0.894140i \(-0.647788\pi\)
\(720\) −6.21978 12.9039i −0.231797 0.480898i
\(721\) 32.5176 32.5176i 1.21102 1.21102i
\(722\) −4.57174 5.23322i −0.170143 0.194760i
\(723\) 36.6301 + 32.1676i 1.36229 + 1.19632i
\(724\) 5.81541 + 11.9070i 0.216128 + 0.442521i
\(725\) −24.9240 + 8.46055i −0.925653 + 0.314217i
\(726\) −6.74513 + 11.6134i −0.250335 + 0.431015i
\(727\) −4.72878 + 35.9186i −0.175381 + 1.33215i 0.646686 + 0.762757i \(0.276155\pi\)
−0.822066 + 0.569392i \(0.807179\pi\)
\(728\) −4.34416 0.0249128i −0.161005 0.000923331i
\(729\) 24.9864 10.2313i 0.925423 0.378937i
\(730\) 10.7517 2.85888i 0.397937 0.105812i
\(731\) 3.59287 + 54.8166i 0.132887 + 2.02747i
\(732\) 10.7230 13.8451i 0.396333 0.511729i
\(733\) −33.4352 + 29.3219i −1.23496 + 1.08303i −0.241315 + 0.970447i \(0.577579\pi\)
−0.993642 + 0.112582i \(0.964088\pi\)
\(734\) −6.97572 + 4.64176i −0.257478 + 0.171331i
\(735\) 26.7106 + 3.53487i 0.985234 + 0.130386i
\(736\) −10.4556 7.13170i −0.385399 0.262878i
\(737\) 3.85676 0.142066
\(738\) 31.9558 36.1997i 1.17631 1.33253i
\(739\) 38.7601 7.70985i 1.42581 0.283612i 0.578923 0.815382i \(-0.303473\pi\)
0.846888 + 0.531771i \(0.178473\pi\)
\(740\) −4.21766 + 4.18554i −0.155044 + 0.153863i
\(741\) −2.22599 0.147409i −0.0817737 0.00541520i
\(742\) −0.792201 0.795235i −0.0290826 0.0291940i
\(743\) −19.8025 + 2.60705i −0.726482 + 0.0956432i −0.484691 0.874685i \(-0.661068\pi\)
−0.241791 + 0.970328i \(0.577735\pi\)
\(744\) 15.3349 + 26.9585i 0.562206 + 0.988347i
\(745\) 12.1135 + 1.59477i 0.443804 + 0.0584279i
\(746\) −19.0062 + 14.5263i −0.695866 + 0.531847i
\(747\) 0.0479484 + 0.747011i 0.00175434 + 0.0273317i
\(748\) −19.3922 22.2839i −0.709050 0.814780i
\(749\) 16.8956 + 34.2609i 0.617352 + 1.25187i
\(750\) 11.1478 22.4589i 0.407061 0.820083i
\(751\) −12.9338 + 48.2696i −0.471961 + 1.76138i 0.160751 + 0.986995i \(0.448609\pi\)
−0.632712 + 0.774388i \(0.718058\pi\)
\(752\) −33.3168 0.254755i −1.21494 0.00928995i
\(753\) −0.307880 + 0.741869i −0.0112198 + 0.0270352i
\(754\) 0.240508 3.56501i 0.00875879 0.129830i
\(755\) 13.1316 19.6528i 0.477907 0.715238i
\(756\) 46.3941 + 3.31347i 1.68734 + 0.120510i
\(757\) 6.62103 33.2862i 0.240646 1.20981i −0.651708 0.758470i \(-0.725947\pi\)
0.892354 0.451337i \(-0.149053\pi\)
\(758\) 5.28933 6.86598i 0.192117 0.249384i
\(759\) −6.43192 6.44061i −0.233464 0.233779i
\(760\) 0.901293 12.6400i 0.0326933 0.458499i
\(761\) 16.7543 2.20574i 0.607341 0.0799580i 0.179418 0.983773i \(-0.442579\pi\)
0.427923 + 0.903815i \(0.359245\pi\)
\(762\) −8.50514 + 11.0249i −0.308109 + 0.399391i
\(763\) −4.52445 69.0297i −0.163796 2.49904i
\(764\) −2.05424 16.0783i −0.0743198 0.581691i
\(765\) −22.4688 1.50317i −0.812363 0.0543472i
\(766\) −28.1379 24.7716i −1.01666 0.895035i
\(767\) 2.10459 3.64526i 0.0759925 0.131623i
\(768\) −1.37072 27.6789i −0.0494617 0.998776i
\(769\) 2.67548 + 4.63406i 0.0964802 + 0.167109i 0.910225 0.414113i \(-0.135908\pi\)
−0.813745 + 0.581222i \(0.802575\pi\)
\(770\) 3.49558 17.3996i 0.125972 0.627038i