Properties

Label 74.2.f.b.9.1
Level $74$
Weight $2$
Character 74.9
Analytic conductor $0.591$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 74 = 2 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 74.f (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.590892974957\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
Defining polynomial: \( x^{12} - 24x^{10} + 264x^{8} - 1687x^{6} + 6600x^{4} - 15000x^{2} + 15625 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 9.1
Root \(-2.14169 + 0.642788i\) of defining polynomial
Character \(\chi\) \(=\) 74.9
Dual form 74.2.f.b.33.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.173648 + 0.984808i) q^{2} +(-0.238878 + 1.35474i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.266044 + 0.223238i) q^{5} -1.37564 q^{6} +(-0.365982 - 0.307095i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(1.04081 + 0.378824i) q^{9} +O(q^{10})\) \(q+(0.173648 + 0.984808i) q^{2} +(-0.238878 + 1.35474i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.266044 + 0.223238i) q^{5} -1.37564 q^{6} +(-0.365982 - 0.307095i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(1.04081 + 0.378824i) q^{9} +(-0.173648 + 0.300767i) q^{10} +(-1.29268 - 2.23899i) q^{11} +(-0.238878 - 1.35474i) q^{12} +(4.21288 - 1.53336i) q^{13} +(0.238878 - 0.413749i) q^{14} +(-0.365982 + 0.307095i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-1.88864 - 0.687407i) q^{17} +(-0.192334 + 1.09078i) q^{18} +(0.611631 - 3.46873i) q^{19} +(-0.326352 - 0.118782i) q^{20} +(0.503461 - 0.422454i) q^{21} +(1.98050 - 1.66184i) q^{22} +(-2.60486 + 4.51175i) q^{23} +(1.29268 - 0.470498i) q^{24} +(-0.847296 - 4.80526i) q^{25} +(2.24162 + 3.88261i) q^{26} +(-2.82530 + 4.89356i) q^{27} +(0.448944 + 0.163402i) q^{28} +(-0.114111 - 0.197646i) q^{29} +(-0.365982 - 0.307095i) q^{30} -6.74658 q^{31} +(0.766044 + 0.642788i) q^{32} +(3.34205 - 1.21641i) q^{33} +(0.349006 - 1.97931i) q^{34} +(-0.0288122 - 0.163402i) q^{35} -1.10761 q^{36} +(2.42322 + 5.57925i) q^{37} +3.52224 q^{38} +(1.07095 + 6.07365i) q^{39} +(0.0603074 - 0.342020i) q^{40} +(-10.0701 + 3.66521i) q^{41} +(0.503461 + 0.422454i) q^{42} +8.85889 q^{43} +(1.98050 + 1.66184i) q^{44} +(0.192334 + 0.333132i) q^{45} +(-4.89554 - 1.78183i) q^{46} +(-3.72890 + 6.45864i) q^{47} +(0.687821 + 1.19134i) q^{48} +(-1.17590 - 6.66887i) q^{49} +(4.58512 - 1.66885i) q^{50} +(1.38241 - 2.39441i) q^{51} +(-3.43437 + 2.88178i) q^{52} +(3.35194 - 2.81261i) q^{53} +(-5.30983 - 1.93262i) q^{54} +(0.155916 - 0.884246i) q^{55} +(-0.0829614 + 0.470498i) q^{56} +(4.55314 + 1.65721i) q^{57} +(0.174828 - 0.146698i) q^{58} +(3.43016 - 2.87825i) q^{59} +(0.238878 - 0.413749i) q^{60} +(1.35175 - 0.491998i) q^{61} +(-1.17153 - 6.64409i) q^{62} +(-0.264583 - 0.458271i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(1.46312 + 0.532531i) q^{65} +(1.77827 + 3.08005i) q^{66} +(-8.06111 - 6.76408i) q^{67} +2.00984 q^{68} +(-5.49002 - 4.60667i) q^{69} +(0.155916 - 0.0567489i) q^{70} +(1.54193 - 8.74474i) q^{71} +(-0.192334 - 1.09078i) q^{72} +7.18667 q^{73} +(-5.07370 + 3.35524i) q^{74} +6.71229 q^{75} +(0.611631 + 3.46873i) q^{76} +(-0.214485 + 1.21641i) q^{77} +(-5.79541 + 2.10936i) q^{78} +(2.70857 + 2.27276i) q^{79} +0.347296 q^{80} +(-3.40919 - 2.86065i) q^{81} +(-5.35818 - 9.28064i) q^{82} +(-1.32932 - 0.483834i) q^{83} +(-0.328611 + 0.569170i) q^{84} +(-0.349006 - 0.604496i) q^{85} +(1.53833 + 8.72431i) q^{86} +(0.295018 - 0.107378i) q^{87} +(-1.29268 + 2.23899i) q^{88} +(2.92954 - 2.45818i) q^{89} +(-0.294673 + 0.247260i) q^{90} +(-2.01273 - 0.732572i) q^{91} +(0.904658 - 5.13057i) q^{92} +(1.61161 - 9.13989i) q^{93} +(-7.00804 - 2.55072i) q^{94} +(0.937074 - 0.786298i) q^{95} +(-1.05380 + 0.884246i) q^{96} +(-9.24175 + 16.0072i) q^{97} +(6.36336 - 2.31607i) q^{98} +(-0.497253 - 2.82006i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q - 3 q^{3} - 6 q^{5} + 6 q^{7} - 6 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q - 3 q^{3} - 6 q^{5} + 6 q^{7} - 6 q^{8} - 3 q^{9} + 3 q^{11} - 3 q^{12} - 6 q^{13} + 3 q^{14} + 6 q^{15} - 3 q^{17} + 6 q^{18} - 3 q^{19} - 6 q^{20} - 33 q^{21} - 3 q^{22} - 21 q^{23} - 3 q^{24} - 6 q^{25} + 3 q^{27} - 3 q^{28} + 6 q^{29} + 6 q^{30} + 42 q^{31} + 57 q^{33} - 3 q^{34} - 9 q^{35} + 24 q^{36} - 3 q^{37} + 42 q^{38} - 24 q^{39} + 12 q^{40} - 21 q^{41} - 33 q^{42} + 36 q^{43} - 3 q^{44} - 6 q^{45} + 3 q^{46} + 9 q^{47} - 12 q^{49} + 12 q^{50} + 3 q^{52} - 6 q^{53} - 27 q^{54} - 3 q^{56} - 36 q^{57} - 3 q^{58} - 6 q^{59} + 3 q^{60} - 18 q^{61} - 33 q^{62} + 36 q^{63} - 6 q^{64} + 3 q^{65} + 3 q^{66} - 27 q^{67} + 6 q^{68} - 12 q^{69} - 18 q^{71} + 6 q^{72} + 54 q^{73} + 3 q^{74} - 6 q^{75} - 3 q^{76} + 51 q^{77} - 33 q^{78} - 12 q^{79} - 36 q^{81} - 18 q^{82} - 6 q^{83} - 6 q^{84} + 3 q^{85} + 39 q^{87} + 3 q^{88} - 15 q^{89} - 15 q^{90} - 51 q^{91} - 6 q^{92} + 45 q^{93} - 12 q^{94} - 15 q^{95} + 6 q^{96} - 42 q^{97} + 51 q^{98} - 33 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.173648 + 0.984808i 0.122788 + 0.696364i
\(3\) −0.238878 + 1.35474i −0.137916 + 0.782162i 0.834868 + 0.550450i \(0.185544\pi\)
−0.972784 + 0.231712i \(0.925567\pi\)
\(4\) −0.939693 + 0.342020i −0.469846 + 0.171010i
\(5\) 0.266044 + 0.223238i 0.118979 + 0.0998350i 0.700336 0.713814i \(-0.253034\pi\)
−0.581357 + 0.813649i \(0.697478\pi\)
\(6\) −1.37564 −0.561604
\(7\) −0.365982 0.307095i −0.138328 0.116071i 0.570998 0.820951i \(-0.306556\pi\)
−0.709326 + 0.704880i \(0.751001\pi\)
\(8\) −0.500000 0.866025i −0.176777 0.306186i
\(9\) 1.04081 + 0.378824i 0.346937 + 0.126275i
\(10\) −0.173648 + 0.300767i −0.0549124 + 0.0951110i
\(11\) −1.29268 2.23899i −0.389758 0.675081i 0.602659 0.797999i \(-0.294108\pi\)
−0.992417 + 0.122918i \(0.960775\pi\)
\(12\) −0.238878 1.35474i −0.0689581 0.391081i
\(13\) 4.21288 1.53336i 1.16844 0.425278i 0.316336 0.948647i \(-0.397547\pi\)
0.852106 + 0.523369i \(0.175325\pi\)
\(14\) 0.238878 0.413749i 0.0638428 0.110579i
\(15\) −0.365982 + 0.307095i −0.0944962 + 0.0792917i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) −1.88864 0.687407i −0.458062 0.166721i 0.102675 0.994715i \(-0.467260\pi\)
−0.560737 + 0.827994i \(0.689482\pi\)
\(18\) −0.192334 + 1.09078i −0.0453335 + 0.257099i
\(19\) 0.611631 3.46873i 0.140318 0.795782i −0.830690 0.556735i \(-0.812054\pi\)
0.971008 0.239047i \(-0.0768350\pi\)
\(20\) −0.326352 0.118782i −0.0729745 0.0265605i
\(21\) 0.503461 0.422454i 0.109864 0.0921869i
\(22\) 1.98050 1.66184i 0.422245 0.354305i
\(23\) −2.60486 + 4.51175i −0.543151 + 0.940765i 0.455570 + 0.890200i \(0.349435\pi\)
−0.998721 + 0.0505649i \(0.983898\pi\)
\(24\) 1.29268 0.470498i 0.263867 0.0960399i
\(25\) −0.847296 4.80526i −0.169459 0.961051i
\(26\) 2.24162 + 3.88261i 0.439619 + 0.761442i
\(27\) −2.82530 + 4.89356i −0.543729 + 0.941767i
\(28\) 0.448944 + 0.163402i 0.0848424 + 0.0308801i
\(29\) −0.114111 0.197646i −0.0211899 0.0367019i 0.855236 0.518239i \(-0.173412\pi\)
−0.876426 + 0.481537i \(0.840079\pi\)
\(30\) −0.365982 0.307095i −0.0668189 0.0560677i
\(31\) −6.74658 −1.21172 −0.605861 0.795571i \(-0.707171\pi\)
−0.605861 + 0.795571i \(0.707171\pi\)
\(32\) 0.766044 + 0.642788i 0.135419 + 0.113630i
\(33\) 3.34205 1.21641i 0.581776 0.211749i
\(34\) 0.349006 1.97931i 0.0598540 0.339449i
\(35\) −0.0288122 0.163402i −0.00487015 0.0276200i
\(36\) −1.10761 −0.184601
\(37\) 2.42322 + 5.57925i 0.398376 + 0.917222i
\(38\) 3.52224 0.571383
\(39\) 1.07095 + 6.07365i 0.171489 + 0.972563i
\(40\) 0.0603074 0.342020i 0.00953543 0.0540781i
\(41\) −10.0701 + 3.66521i −1.57268 + 0.572410i −0.973597 0.228275i \(-0.926691\pi\)
−0.599086 + 0.800685i \(0.704469\pi\)
\(42\) 0.503461 + 0.422454i 0.0776857 + 0.0651860i
\(43\) 8.85889 1.35097 0.675484 0.737374i \(-0.263935\pi\)
0.675484 + 0.737374i \(0.263935\pi\)
\(44\) 1.98050 + 1.66184i 0.298572 + 0.250532i
\(45\) 0.192334 + 0.333132i 0.0286715 + 0.0496604i
\(46\) −4.89554 1.78183i −0.721807 0.262716i
\(47\) −3.72890 + 6.45864i −0.543916 + 0.942090i 0.454758 + 0.890615i \(0.349726\pi\)
−0.998674 + 0.0514750i \(0.983608\pi\)
\(48\) 0.687821 + 1.19134i 0.0992785 + 0.171955i
\(49\) −1.17590 6.66887i −0.167986 0.952696i
\(50\) 4.58512 1.66885i 0.648434 0.236011i
\(51\) 1.38241 2.39441i 0.193577 0.335285i
\(52\) −3.43437 + 2.88178i −0.476261 + 0.399631i
\(53\) 3.35194 2.81261i 0.460424 0.386342i −0.382863 0.923805i \(-0.625062\pi\)
0.843287 + 0.537464i \(0.180617\pi\)
\(54\) −5.30983 1.93262i −0.722576 0.262996i
\(55\) 0.155916 0.884246i 0.0210238 0.119232i
\(56\) −0.0829614 + 0.470498i −0.0110862 + 0.0628729i
\(57\) 4.55314 + 1.65721i 0.603078 + 0.219502i
\(58\) 0.174828 0.146698i 0.0229560 0.0192624i
\(59\) 3.43016 2.87825i 0.446569 0.374716i −0.391592 0.920139i \(-0.628076\pi\)
0.838161 + 0.545423i \(0.183631\pi\)
\(60\) 0.238878 0.413749i 0.0308390 0.0534147i
\(61\) 1.35175 0.491998i 0.173074 0.0629939i −0.254030 0.967196i \(-0.581756\pi\)
0.427104 + 0.904203i \(0.359534\pi\)
\(62\) −1.17153 6.64409i −0.148785 0.843800i
\(63\) −0.264583 0.458271i −0.0333343 0.0577367i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 1.46312 + 0.532531i 0.181477 + 0.0660523i
\(66\) 1.77827 + 3.08005i 0.218890 + 0.379128i
\(67\) −8.06111 6.76408i −0.984822 0.826363i −1.18267e−5 1.00000i \(-0.500004\pi\)
−0.984810 + 0.173637i \(0.944448\pi\)
\(68\) 2.00984 0.243729
\(69\) −5.49002 4.60667i −0.660921 0.554578i
\(70\) 0.155916 0.0567489i 0.0186356 0.00678280i
\(71\) 1.54193 8.74474i 0.182994 1.03781i −0.745512 0.666492i \(-0.767795\pi\)
0.928506 0.371318i \(-0.121094\pi\)
\(72\) −0.192334 1.09078i −0.0226668 0.128550i
\(73\) 7.18667 0.841136 0.420568 0.907261i \(-0.361831\pi\)
0.420568 + 0.907261i \(0.361831\pi\)
\(74\) −5.07370 + 3.35524i −0.589805 + 0.390038i
\(75\) 6.71229 0.775069
\(76\) 0.611631 + 3.46873i 0.0701589 + 0.397891i
\(77\) −0.214485 + 1.21641i −0.0244429 + 0.138622i
\(78\) −5.79541 + 2.10936i −0.656201 + 0.238838i
\(79\) 2.70857 + 2.27276i 0.304738 + 0.255705i 0.782313 0.622885i \(-0.214040\pi\)
−0.477575 + 0.878591i \(0.658484\pi\)
\(80\) 0.347296 0.0388289
\(81\) −3.40919 2.86065i −0.378799 0.317850i
\(82\) −5.35818 9.28064i −0.591712 1.02487i
\(83\) −1.32932 0.483834i −0.145912 0.0531077i 0.268032 0.963410i \(-0.413627\pi\)
−0.413944 + 0.910302i \(0.635849\pi\)
\(84\) −0.328611 + 0.569170i −0.0358544 + 0.0621016i
\(85\) −0.349006 0.604496i −0.0378550 0.0655668i
\(86\) 1.53833 + 8.72431i 0.165882 + 0.940766i
\(87\) 0.295018 0.107378i 0.0316292 0.0115121i
\(88\) −1.29268 + 2.23899i −0.137800 + 0.238677i
\(89\) 2.92954 2.45818i 0.310531 0.260567i −0.474180 0.880428i \(-0.657256\pi\)
0.784711 + 0.619861i \(0.212811\pi\)
\(90\) −0.294673 + 0.247260i −0.0310612 + 0.0260635i
\(91\) −2.01273 0.732572i −0.210991 0.0767944i
\(92\) 0.904658 5.13057i 0.0943172 0.534899i
\(93\) 1.61161 9.13989i 0.167116 0.947762i
\(94\) −7.00804 2.55072i −0.722824 0.263086i
\(95\) 0.937074 0.786298i 0.0961417 0.0806725i
\(96\) −1.05380 + 0.884246i −0.107553 + 0.0902480i
\(97\) −9.24175 + 16.0072i −0.938358 + 1.62528i −0.169824 + 0.985474i \(0.554320\pi\)
−0.768534 + 0.639809i \(0.779013\pi\)
\(98\) 6.36336 2.31607i 0.642797 0.233959i
\(99\) −0.497253 2.82006i −0.0499758 0.283427i
\(100\) 2.43969 + 4.22567i 0.243969 + 0.422567i
\(101\) −8.56431 + 14.8338i −0.852180 + 1.47602i 0.0270562 + 0.999634i \(0.491387\pi\)
−0.879236 + 0.476386i \(0.841947\pi\)
\(102\) 2.59809 + 0.945627i 0.257249 + 0.0936310i
\(103\) 6.71012 + 11.6223i 0.661167 + 1.14518i 0.980309 + 0.197468i \(0.0632720\pi\)
−0.319142 + 0.947707i \(0.603395\pi\)
\(104\) −3.43437 2.88178i −0.336768 0.282582i
\(105\) 0.228251 0.0222750
\(106\) 3.35194 + 2.81261i 0.325569 + 0.273185i
\(107\) 19.2261 6.99774i 1.85866 0.676497i 0.878676 0.477418i \(-0.158427\pi\)
0.979984 0.199079i \(-0.0637949\pi\)
\(108\) 0.981216 5.56475i 0.0944176 0.535469i
\(109\) 1.85087 + 10.4968i 0.177281 + 1.00541i 0.935478 + 0.353385i \(0.114970\pi\)
−0.758197 + 0.652026i \(0.773919\pi\)
\(110\) 0.897887 0.0856102
\(111\) −8.13730 + 1.95009i −0.772359 + 0.185094i
\(112\) −0.477756 −0.0451437
\(113\) 2.12063 + 12.0267i 0.199492 + 1.13138i 0.905875 + 0.423546i \(0.139215\pi\)
−0.706383 + 0.707830i \(0.749674\pi\)
\(114\) −0.841386 + 4.77174i −0.0788030 + 0.446914i
\(115\) −1.70020 + 0.618823i −0.158545 + 0.0577055i
\(116\) 0.174828 + 0.146698i 0.0162324 + 0.0136206i
\(117\) 4.96568 0.459077
\(118\) 3.43016 + 2.87825i 0.315772 + 0.264964i
\(119\) 0.480107 + 0.831570i 0.0440114 + 0.0762299i
\(120\) 0.448944 + 0.163402i 0.0409827 + 0.0149165i
\(121\) 2.15795 3.73768i 0.196177 0.339789i
\(122\) 0.719253 + 1.24578i 0.0651181 + 0.112788i
\(123\) −2.55990 14.5179i −0.230818 1.30904i
\(124\) 6.33971 2.30747i 0.569323 0.207217i
\(125\) 1.71554 2.97140i 0.153442 0.265770i
\(126\) 0.405364 0.340141i 0.0361127 0.0303022i
\(127\) −5.40029 + 4.53138i −0.479198 + 0.402095i −0.850136 0.526563i \(-0.823481\pi\)
0.370938 + 0.928658i \(0.379036\pi\)
\(128\) −0.939693 0.342020i −0.0830579 0.0302306i
\(129\) −2.11619 + 12.0015i −0.186320 + 1.05668i
\(130\) −0.270373 + 1.53336i −0.0237133 + 0.134485i
\(131\) −1.86532 0.678920i −0.162974 0.0593175i 0.259245 0.965812i \(-0.416526\pi\)
−0.422219 + 0.906494i \(0.638749\pi\)
\(132\) −2.72446 + 2.28610i −0.237134 + 0.198979i
\(133\) −1.28908 + 1.08167i −0.111777 + 0.0937923i
\(134\) 5.26152 9.11322i 0.454526 0.787262i
\(135\) −1.84408 + 0.671192i −0.158713 + 0.0577670i
\(136\) 0.349006 + 1.97931i 0.0299270 + 0.169724i
\(137\) −8.69897 15.0671i −0.743203 1.28727i −0.951029 0.309100i \(-0.899972\pi\)
0.207826 0.978166i \(-0.433361\pi\)
\(138\) 3.58336 6.20656i 0.305036 0.528337i
\(139\) −0.692602 0.252086i −0.0587457 0.0213817i 0.312480 0.949924i \(-0.398840\pi\)
−0.371226 + 0.928543i \(0.621062\pi\)
\(140\) 0.0829614 + 0.143693i 0.00701152 + 0.0121443i
\(141\) −7.85905 6.59453i −0.661852 0.555360i
\(142\) 8.87964 0.745163
\(143\) −8.87909 7.45044i −0.742507 0.623037i
\(144\) 1.04081 0.378824i 0.0867342 0.0315687i
\(145\) 0.0137635 0.0780564i 0.00114299 0.00648223i
\(146\) 1.24795 + 7.07749i 0.103281 + 0.585737i
\(147\) 9.31551 0.768330
\(148\) −4.18530 4.41398i −0.344030 0.362827i
\(149\) −19.0346 −1.55938 −0.779689 0.626167i \(-0.784623\pi\)
−0.779689 + 0.626167i \(0.784623\pi\)
\(150\) 1.16558 + 6.61032i 0.0951690 + 0.539730i
\(151\) −1.12385 + 6.37365i −0.0914574 + 0.518681i 0.904318 + 0.426859i \(0.140380\pi\)
−0.995775 + 0.0918214i \(0.970731\pi\)
\(152\) −3.30983 + 1.20468i −0.268462 + 0.0977123i
\(153\) −1.70531 1.43092i −0.137866 0.115683i
\(154\) −1.23517 −0.0995330
\(155\) −1.79489 1.50609i −0.144169 0.120972i
\(156\) −3.08368 5.34108i −0.246892 0.427629i
\(157\) −11.3628 4.13571i −0.906847 0.330065i −0.153854 0.988094i \(-0.549169\pi\)
−0.752993 + 0.658028i \(0.771391\pi\)
\(158\) −1.76789 + 3.06208i −0.140646 + 0.243606i
\(159\) 3.00966 + 5.21289i 0.238682 + 0.413409i
\(160\) 0.0603074 + 0.342020i 0.00476772 + 0.0270391i
\(161\) 2.33887 0.851279i 0.184329 0.0670902i
\(162\) 2.22519 3.85415i 0.174828 0.302810i
\(163\) 11.2965 9.47892i 0.884813 0.742446i −0.0823498 0.996603i \(-0.526242\pi\)
0.967163 + 0.254157i \(0.0817980\pi\)
\(164\) 8.20921 6.88834i 0.641031 0.537889i
\(165\) 1.16068 + 0.422454i 0.0903590 + 0.0328880i
\(166\) 0.245649 1.39315i 0.0190661 0.108129i
\(167\) 1.44239 8.18020i 0.111616 0.633003i −0.876755 0.480937i \(-0.840296\pi\)
0.988370 0.152066i \(-0.0485925\pi\)
\(168\) −0.617586 0.224783i −0.0476478 0.0173424i
\(169\) 5.43855 4.56349i 0.418350 0.351038i
\(170\) 0.534708 0.448673i 0.0410102 0.0344117i
\(171\) 1.95063 3.37859i 0.149168 0.258367i
\(172\) −8.32464 + 3.02992i −0.634748 + 0.231029i
\(173\) −1.14829 6.51227i −0.0873028 0.495119i −0.996836 0.0794872i \(-0.974672\pi\)
0.909533 0.415632i \(-0.136439\pi\)
\(174\) 0.156976 + 0.271890i 0.0119003 + 0.0206119i
\(175\) −1.16558 + 2.01884i −0.0881093 + 0.152610i
\(176\) −2.42945 0.884246i −0.183126 0.0666526i
\(177\) 3.07990 + 5.33454i 0.231499 + 0.400968i
\(178\) 2.92954 + 2.45818i 0.219579 + 0.184248i
\(179\) 4.53985 0.339325 0.169662 0.985502i \(-0.445732\pi\)
0.169662 + 0.985502i \(0.445732\pi\)
\(180\) −0.294673 0.247260i −0.0219636 0.0184297i
\(181\) 1.46942 0.534826i 0.109221 0.0397533i −0.286831 0.957981i \(-0.592602\pi\)
0.396053 + 0.918228i \(0.370380\pi\)
\(182\) 0.371937 2.10936i 0.0275698 0.156356i
\(183\) 0.343627 + 1.94881i 0.0254016 + 0.144060i
\(184\) 5.20972 0.384066
\(185\) −0.600813 + 2.02528i −0.0441727 + 0.148902i
\(186\) 9.28089 0.680508
\(187\) 0.902307 + 5.11724i 0.0659832 + 0.374209i
\(188\) 1.29503 7.34450i 0.0944500 0.535653i
\(189\) 2.53680 0.923320i 0.184525 0.0671616i
\(190\) 0.937074 + 0.786298i 0.0679825 + 0.0570441i
\(191\) 23.0183 1.66555 0.832773 0.553615i \(-0.186752\pi\)
0.832773 + 0.553615i \(0.186752\pi\)
\(192\) −1.05380 0.884246i −0.0760517 0.0638150i
\(193\) 5.27705 + 9.14013i 0.379851 + 0.657921i 0.991040 0.133564i \(-0.0426420\pi\)
−0.611190 + 0.791484i \(0.709309\pi\)
\(194\) −17.3688 6.32173i −1.24701 0.453874i
\(195\) −1.07095 + 1.85494i −0.0766923 + 0.132835i
\(196\) 3.38587 + 5.86451i 0.241848 + 0.418893i
\(197\) 0.838489 + 4.75531i 0.0597399 + 0.338802i 0.999999 0.00165899i \(-0.000528074\pi\)
−0.940259 + 0.340461i \(0.889417\pi\)
\(198\) 2.69087 0.979397i 0.191232 0.0696027i
\(199\) −5.14608 + 8.91327i −0.364796 + 0.631845i −0.988743 0.149621i \(-0.952195\pi\)
0.623947 + 0.781466i \(0.285528\pi\)
\(200\) −3.73783 + 3.13641i −0.264304 + 0.221778i
\(201\) 11.0892 9.30495i 0.782173 0.656321i
\(202\) −16.0956 5.85833i −1.13248 0.412191i
\(203\) −0.0189336 + 0.107378i −0.00132888 + 0.00753644i
\(204\) −0.480107 + 2.72282i −0.0336142 + 0.190636i
\(205\) −3.49730 1.27291i −0.244262 0.0889042i
\(206\) −10.2805 + 8.62636i −0.716276 + 0.601027i
\(207\) −4.42032 + 3.70909i −0.307234 + 0.257800i
\(208\) 2.24162 3.88261i 0.155429 0.269210i
\(209\) −8.55710 + 3.11453i −0.591907 + 0.215437i
\(210\) 0.0396353 + 0.224783i 0.00273509 + 0.0155115i
\(211\) −0.685470 1.18727i −0.0471897 0.0817349i 0.841466 0.540310i \(-0.181693\pi\)
−0.888655 + 0.458576i \(0.848360\pi\)
\(212\) −2.18782 + 3.78942i −0.150260 + 0.260258i
\(213\) 11.4785 + 4.17785i 0.786497 + 0.286262i
\(214\) 10.2300 + 17.7189i 0.699309 + 1.21124i
\(215\) 2.35686 + 1.97764i 0.160736 + 0.134874i
\(216\) 5.65060 0.384475
\(217\) 2.46913 + 2.07184i 0.167615 + 0.140646i
\(218\) −10.0159 + 3.64550i −0.678365 + 0.246904i
\(219\) −1.71674 + 9.73610i −0.116006 + 0.657904i
\(220\) 0.155916 + 0.884246i 0.0105119 + 0.0596159i
\(221\) −9.01064 −0.606121
\(222\) −3.33349 7.67505i −0.223729 0.515116i
\(223\) −29.2612 −1.95947 −0.979736 0.200292i \(-0.935811\pi\)
−0.979736 + 0.200292i \(0.935811\pi\)
\(224\) −0.0829614 0.470498i −0.00554309 0.0314364i
\(225\) 0.938471 5.32234i 0.0625648 0.354822i
\(226\) −11.4757 + 4.17683i −0.763355 + 0.277838i
\(227\) 7.89376 + 6.62365i 0.523927 + 0.439627i 0.865998 0.500047i \(-0.166684\pi\)
−0.342071 + 0.939674i \(0.611128\pi\)
\(228\) −4.84535 −0.320891
\(229\) 12.0022 + 10.0711i 0.793128 + 0.665514i 0.946518 0.322652i \(-0.104574\pi\)
−0.153389 + 0.988166i \(0.549019\pi\)
\(230\) −0.904658 1.56691i −0.0596514 0.103319i
\(231\) −1.59668 0.581145i −0.105054 0.0382366i
\(232\) −0.114111 + 0.197646i −0.00749175 + 0.0129761i
\(233\) −3.60202 6.23888i −0.235976 0.408723i 0.723580 0.690241i \(-0.242495\pi\)
−0.959556 + 0.281518i \(0.909162\pi\)
\(234\) 0.862281 + 4.89024i 0.0563691 + 0.319685i
\(235\) −2.43387 + 0.885855i −0.158768 + 0.0577868i
\(236\) −2.23888 + 3.87785i −0.145739 + 0.252427i
\(237\) −3.72602 + 3.12651i −0.242031 + 0.203088i
\(238\) −0.735567 + 0.617214i −0.0476797 + 0.0400081i
\(239\) 20.6291 + 7.50838i 1.33439 + 0.485677i 0.908040 0.418884i \(-0.137579\pi\)
0.426346 + 0.904560i \(0.359801\pi\)
\(240\) −0.0829614 + 0.470498i −0.00535514 + 0.0303705i
\(241\) 2.57180 14.5854i 0.165664 0.939527i −0.782713 0.622383i \(-0.786165\pi\)
0.948377 0.317145i \(-0.102724\pi\)
\(242\) 4.05562 + 1.47612i 0.260705 + 0.0948889i
\(243\) −8.29600 + 6.96117i −0.532189 + 0.446559i
\(244\) −1.10196 + 0.924653i −0.0705457 + 0.0591949i
\(245\) 1.17590 2.03672i 0.0751256 0.130121i
\(246\) 13.8528 5.04202i 0.883224 0.321467i
\(247\) −2.74210 15.5512i −0.174475 0.989499i
\(248\) 3.37329 + 5.84271i 0.214204 + 0.371013i
\(249\) 0.973018 1.68532i 0.0616625 0.106803i
\(250\) 3.22416 + 1.17350i 0.203913 + 0.0742184i
\(251\) −6.64493 11.5094i −0.419424 0.726464i 0.576457 0.817127i \(-0.304435\pi\)
−0.995882 + 0.0906631i \(0.971101\pi\)
\(252\) 0.405364 + 0.340141i 0.0255356 + 0.0214269i
\(253\) 13.4690 0.846790
\(254\) −5.40029 4.53138i −0.338844 0.284324i
\(255\) 0.902307 0.328413i 0.0565046 0.0205660i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 3.03928 + 17.2366i 0.189585 + 1.07519i 0.919921 + 0.392104i \(0.128253\pi\)
−0.730336 + 0.683088i \(0.760636\pi\)
\(258\) −12.1867 −0.758709
\(259\) 0.826504 2.78607i 0.0513565 0.173118i
\(260\) −1.55702 −0.0965621
\(261\) −0.0438948 0.248940i −0.00271702 0.0154090i
\(262\) 0.344697 1.95487i 0.0212954 0.120772i
\(263\) 13.2811 4.83392i 0.818947 0.298072i 0.101633 0.994822i \(-0.467593\pi\)
0.717314 + 0.696750i \(0.245371\pi\)
\(264\) −2.72446 2.28610i −0.167679 0.140700i
\(265\) 1.51964 0.0933510
\(266\) −1.28908 1.08167i −0.0790385 0.0663211i
\(267\) 2.63040 + 4.55599i 0.160978 + 0.278822i
\(268\) 9.88842 + 3.59909i 0.604031 + 0.219849i
\(269\) 13.4051 23.2183i 0.817324 1.41565i −0.0903238 0.995912i \(-0.528790\pi\)
0.907647 0.419734i \(-0.137876\pi\)
\(270\) −0.981216 1.69952i −0.0597149 0.103429i
\(271\) −1.89500 10.7471i −0.115113 0.652838i −0.986694 0.162587i \(-0.948016\pi\)
0.871581 0.490251i \(-0.163095\pi\)
\(272\) −1.88864 + 0.687407i −0.114515 + 0.0416802i
\(273\) 1.47324 2.55173i 0.0891647 0.154438i
\(274\) 13.3276 11.1832i 0.805150 0.675601i
\(275\) −9.66364 + 8.10875i −0.582739 + 0.488976i
\(276\) 6.73451 + 2.45116i 0.405370 + 0.147543i
\(277\) 1.06680 6.05012i 0.0640978 0.363517i −0.935841 0.352423i \(-0.885358\pi\)
0.999938 0.0110932i \(-0.00353116\pi\)
\(278\) 0.127988 0.725854i 0.00767619 0.0435338i
\(279\) −7.02191 2.55577i −0.420391 0.153010i
\(280\) −0.127104 + 0.106653i −0.00759593 + 0.00637374i
\(281\) 2.26215 1.89817i 0.134948 0.113235i −0.572815 0.819685i \(-0.694149\pi\)
0.707763 + 0.706449i \(0.249704\pi\)
\(282\) 5.12963 8.88478i 0.305465 0.529081i
\(283\) −13.6016 + 4.95056i −0.808529 + 0.294280i −0.713016 0.701148i \(-0.752671\pi\)
−0.0955129 + 0.995428i \(0.530449\pi\)
\(284\) 1.54193 + 8.74474i 0.0914969 + 0.518905i
\(285\) 0.841386 + 1.45732i 0.0498394 + 0.0863244i
\(286\) 5.79541 10.0380i 0.342690 0.593556i
\(287\) 4.81104 + 1.75108i 0.283987 + 0.103363i
\(288\) 0.553803 + 0.959216i 0.0326332 + 0.0565223i
\(289\) −9.92834 8.33086i −0.584020 0.490051i
\(290\) 0.0792606 0.00465434
\(291\) −19.4780 16.3440i −1.14182 0.958100i
\(292\) −6.75326 + 2.45799i −0.395205 + 0.143843i
\(293\) −2.18486 + 12.3910i −0.127641 + 0.723888i 0.852063 + 0.523439i \(0.175351\pi\)
−0.979704 + 0.200449i \(0.935760\pi\)
\(294\) 1.61762 + 9.17398i 0.0943416 + 0.535038i
\(295\) 1.55511 0.0905419
\(296\) 3.62016 4.88820i 0.210417 0.284121i
\(297\) 14.6089 0.847691
\(298\) −3.30533 18.7455i −0.191473 1.08589i
\(299\) −4.05581 + 23.0016i −0.234554 + 1.33022i
\(300\) −6.30749 + 2.29574i −0.364163 + 0.132545i
\(301\) −3.24220 2.72053i −0.186877 0.156808i
\(302\) −6.47198 −0.372420
\(303\) −18.0502 15.1459i −1.03696 0.870110i
\(304\) −1.76112 3.05035i −0.101007 0.174950i
\(305\) 0.469459 + 0.170869i 0.0268811 + 0.00978393i
\(306\) 1.11306 1.92787i 0.0636293 0.110209i
\(307\) 9.44985 + 16.3676i 0.539331 + 0.934149i 0.998940 + 0.0460279i \(0.0146563\pi\)
−0.459609 + 0.888121i \(0.652010\pi\)
\(308\) −0.214485 1.21641i −0.0122214 0.0693112i
\(309\) −17.3481 + 6.31419i −0.986898 + 0.359201i
\(310\) 1.17153 2.02915i 0.0665385 0.115248i
\(311\) −0.0868584 + 0.0728829i −0.00492529 + 0.00413281i −0.645247 0.763974i \(-0.723246\pi\)
0.640322 + 0.768107i \(0.278801\pi\)
\(312\) 4.72446 3.96430i 0.267470 0.224434i
\(313\) −8.62740 3.14012i −0.487650 0.177490i 0.0864813 0.996253i \(-0.472438\pi\)
−0.574131 + 0.818764i \(0.694660\pi\)
\(314\) 2.09975 11.9083i 0.118496 0.672024i
\(315\) 0.0319126 0.180985i 0.00179807 0.0101974i
\(316\) −3.32255 1.20931i −0.186908 0.0680290i
\(317\) 20.1198 16.8826i 1.13004 0.948219i 0.130975 0.991386i \(-0.458189\pi\)
0.999068 + 0.0431670i \(0.0137447\pi\)
\(318\) −4.61107 + 3.86915i −0.258576 + 0.216971i
\(319\) −0.295018 + 0.510986i −0.0165178 + 0.0286097i
\(320\) −0.326352 + 0.118782i −0.0182436 + 0.00664014i
\(321\) 4.88744 + 27.7181i 0.272791 + 1.54707i
\(322\) 1.24449 + 2.15551i 0.0693525 + 0.120122i
\(323\) −3.53958 + 6.13074i −0.196948 + 0.341123i
\(324\) 4.18199 + 1.52212i 0.232333 + 0.0845623i
\(325\) −10.9378 18.9447i −0.606717 1.05087i
\(326\) 11.2965 + 9.47892i 0.625657 + 0.524989i
\(327\) −14.6626 −0.810844
\(328\) 8.20921 + 6.88834i 0.453278 + 0.380345i
\(329\) 3.34813 1.21862i 0.184588 0.0671847i
\(330\) −0.214485 + 1.21641i −0.0118070 + 0.0669610i
\(331\) −4.96254 28.1439i −0.272766 1.54693i −0.745971 0.665979i \(-0.768014\pi\)
0.473205 0.880952i \(-0.343097\pi\)
\(332\) 1.41464 0.0776383
\(333\) 0.408565 + 6.72491i 0.0223892 + 0.368523i
\(334\) 8.30639 0.454506
\(335\) −0.634617 3.59909i −0.0346728 0.196639i
\(336\) 0.114125 0.647237i 0.00622604 0.0353096i
\(337\) 9.18348 3.34251i 0.500256 0.182078i −0.0795532 0.996831i \(-0.525349\pi\)
0.579809 + 0.814752i \(0.303127\pi\)
\(338\) 5.43855 + 4.56349i 0.295818 + 0.248221i
\(339\) −16.7997 −0.912432
\(340\) 0.534708 + 0.448673i 0.0289986 + 0.0243327i
\(341\) 8.72118 + 15.1055i 0.472278 + 0.818010i
\(342\) 3.66599 + 1.33431i 0.198234 + 0.0721512i
\(343\) −3.28977 + 5.69804i −0.177631 + 0.307665i
\(344\) −4.42945 7.67203i −0.238820 0.413648i
\(345\) −0.432206 2.45116i −0.0232692 0.131966i
\(346\) 6.21394 2.26169i 0.334063 0.121589i
\(347\) −8.28817 + 14.3555i −0.444932 + 0.770645i −0.998047 0.0624595i \(-0.980106\pi\)
0.553115 + 0.833105i \(0.313439\pi\)
\(348\) −0.240501 + 0.201804i −0.0128922 + 0.0108178i
\(349\) 14.3165 12.0129i 0.766342 0.643038i −0.173427 0.984847i \(-0.555484\pi\)
0.939769 + 0.341809i \(0.111040\pi\)
\(350\) −2.19057 0.797302i −0.117091 0.0426176i
\(351\) −4.39904 + 24.9482i −0.234803 + 1.33164i
\(352\) 0.448944 2.54609i 0.0239288 0.135707i
\(353\) −5.07813 1.84829i −0.270282 0.0983745i 0.203324 0.979112i \(-0.434826\pi\)
−0.473606 + 0.880737i \(0.657048\pi\)
\(354\) −4.71867 + 3.95944i −0.250795 + 0.210442i
\(355\) 2.36238 1.98227i 0.125382 0.105208i
\(356\) −1.91212 + 3.31190i −0.101342 + 0.175530i
\(357\) −1.24125 + 0.451779i −0.0656940 + 0.0239107i
\(358\) 0.788337 + 4.47088i 0.0416649 + 0.236294i
\(359\) 5.28319 + 9.15075i 0.278836 + 0.482958i 0.971096 0.238690i \(-0.0767180\pi\)
−0.692260 + 0.721649i \(0.743385\pi\)
\(360\) 0.192334 0.333132i 0.0101369 0.0175576i
\(361\) 6.19614 + 2.25521i 0.326113 + 0.118695i
\(362\) 0.781863 + 1.35423i 0.0410938 + 0.0711766i
\(363\) 4.54811 + 3.81632i 0.238714 + 0.200305i
\(364\) 2.14190 0.112266
\(365\) 1.91197 + 1.60434i 0.100077 + 0.0839748i
\(366\) −1.85953 + 0.676813i −0.0971991 + 0.0353776i
\(367\) −0.0374864 + 0.212596i −0.00195677 + 0.0110974i −0.985771 0.168097i \(-0.946238\pi\)
0.983814 + 0.179194i \(0.0573490\pi\)
\(368\) 0.904658 + 5.13057i 0.0471586 + 0.267450i
\(369\) −11.8695 −0.617902
\(370\) −2.09884 0.239999i −0.109114 0.0124769i
\(371\) −2.09049 −0.108533
\(372\) 1.61161 + 9.13989i 0.0835580 + 0.473881i
\(373\) −3.43905 + 19.5038i −0.178067 + 1.00987i 0.756476 + 0.654021i \(0.226919\pi\)
−0.934543 + 0.355849i \(0.884192\pi\)
\(374\) −4.88281 + 1.77720i −0.252484 + 0.0918967i
\(375\) 3.61568 + 3.03391i 0.186713 + 0.156671i
\(376\) 7.45780 0.384607
\(377\) −0.783798 0.657684i −0.0403676 0.0338725i
\(378\) 1.34980 + 2.33793i 0.0694264 + 0.120250i
\(379\) 21.7031 + 7.89927i 1.11481 + 0.405758i 0.832756 0.553640i \(-0.186761\pi\)
0.282056 + 0.959398i \(0.408984\pi\)
\(380\) −0.611631 + 1.05938i −0.0313760 + 0.0543449i
\(381\) −4.84885 8.39845i −0.248414 0.430266i
\(382\) 3.99708 + 22.6686i 0.204509 + 1.15983i
\(383\) 4.77929 1.73952i 0.244210 0.0888853i −0.217015 0.976168i \(-0.569632\pi\)
0.461226 + 0.887283i \(0.347410\pi\)
\(384\) 0.687821 1.19134i 0.0351002 0.0607954i
\(385\) −0.328611 + 0.275737i −0.0167475 + 0.0140529i
\(386\) −8.08492 + 6.78405i −0.411511 + 0.345299i
\(387\) 9.22042 + 3.35596i 0.468701 + 0.170593i
\(388\) 3.20963 18.2027i 0.162944 0.924102i
\(389\) −5.06138 + 28.7045i −0.256622 + 1.45538i 0.535252 + 0.844692i \(0.320217\pi\)
−0.791874 + 0.610684i \(0.790895\pi\)
\(390\) −2.01273 0.732572i −0.101918 0.0370952i
\(391\) 8.02104 6.73045i 0.405642 0.340374i
\(392\) −5.18746 + 4.35280i −0.262006 + 0.219849i
\(393\) 1.36535 2.36485i 0.0688726 0.119291i
\(394\) −4.53746 + 1.65150i −0.228594 + 0.0832014i
\(395\) 0.213234 + 1.20931i 0.0107290 + 0.0608470i
\(396\) 1.43178 + 2.47992i 0.0719498 + 0.124621i
\(397\) 7.99625 13.8499i 0.401320 0.695107i −0.592565 0.805522i \(-0.701885\pi\)
0.993886 + 0.110416i \(0.0352182\pi\)
\(398\) −9.67147 3.52013i −0.484787 0.176448i
\(399\) −1.15745 2.00476i −0.0579448 0.100363i
\(400\) −3.73783 3.13641i −0.186891 0.156820i
\(401\) −5.43983 −0.271652 −0.135826 0.990733i \(-0.543369\pi\)
−0.135826 + 0.990733i \(0.543369\pi\)
\(402\) 11.0892 + 9.30495i 0.553080 + 0.464089i
\(403\) −28.4225 + 10.3450i −1.41583 + 0.515319i
\(404\) 2.97435 16.8684i 0.147980 0.839234i
\(405\) −0.268391 1.52212i −0.0133365 0.0756348i
\(406\) −0.109034 −0.00541128
\(407\) 9.35942 12.6378i 0.463929 0.626431i
\(408\) −2.76483 −0.136879
\(409\) −6.55076 37.1512i −0.323914 1.83701i −0.517198 0.855866i \(-0.673025\pi\)
0.193283 0.981143i \(-0.438086\pi\)
\(410\) 0.646275 3.66521i 0.0319173 0.181012i
\(411\) 22.4900 8.18569i 1.10935 0.403770i
\(412\) −10.2805 8.62636i −0.506484 0.424990i
\(413\) −2.13927 −0.105267
\(414\) −4.42032 3.70909i −0.217247 0.182292i
\(415\) −0.245649 0.425477i −0.0120584 0.0208858i
\(416\) 4.21288 + 1.53336i 0.206553 + 0.0751792i
\(417\) 0.506960 0.878080i 0.0248259 0.0429998i
\(418\) −4.55314 7.88627i −0.222701 0.385730i
\(419\) 1.07518 + 6.09766i 0.0525261 + 0.297890i 0.999742 0.0227055i \(-0.00722800\pi\)
−0.947216 + 0.320596i \(0.896117\pi\)
\(420\) −0.214485 + 0.0780663i −0.0104658 + 0.00380924i
\(421\) 5.05431 8.75433i 0.246332 0.426660i −0.716173 0.697923i \(-0.754108\pi\)
0.962505 + 0.271263i \(0.0874412\pi\)
\(422\) 1.05020 0.881223i 0.0511230 0.0428973i
\(423\) −6.32776 + 5.30962i −0.307666 + 0.258163i
\(424\) −4.11176 1.49656i −0.199685 0.0726793i
\(425\) −1.70293 + 9.65782i −0.0826044 + 0.468473i
\(426\) −2.12115 + 12.0296i −0.102770 + 0.582838i
\(427\) −0.645808 0.235055i −0.0312528 0.0113751i
\(428\) −15.6733 + 13.1514i −0.757597 + 0.635699i
\(429\) 12.2145 10.2491i 0.589719 0.494833i
\(430\) −1.53833 + 2.66447i −0.0741849 + 0.128492i
\(431\) 32.1170 11.6896i 1.54702 0.563070i 0.579304 0.815111i \(-0.303324\pi\)
0.967716 + 0.252042i \(0.0811020\pi\)
\(432\) 0.981216 + 5.56475i 0.0472088 + 0.267734i
\(433\) 0.343160 + 0.594370i 0.0164912 + 0.0285636i 0.874153 0.485650i \(-0.161417\pi\)
−0.857662 + 0.514214i \(0.828084\pi\)
\(434\) −1.61161 + 2.79139i −0.0773597 + 0.133991i
\(435\) 0.102459 + 0.0372919i 0.00491252 + 0.00178801i
\(436\) −5.32937 9.23073i −0.255230 0.442072i
\(437\) 14.0568 + 11.7951i 0.672430 + 0.564236i
\(438\) −9.88629 −0.472385
\(439\) 16.4768 + 13.8257i 0.786393 + 0.659862i 0.944850 0.327503i \(-0.106207\pi\)
−0.158456 + 0.987366i \(0.550652\pi\)
\(440\) −0.843738 + 0.307095i −0.0402236 + 0.0146402i
\(441\) 1.30244 7.38649i 0.0620208 0.351738i
\(442\) −1.56468 8.87374i −0.0744243 0.422081i
\(443\) −28.5971 −1.35869 −0.679344 0.733820i \(-0.737736\pi\)
−0.679344 + 0.733820i \(0.737736\pi\)
\(444\) 6.97959 4.61561i 0.331237 0.219047i
\(445\) 1.32815 0.0629602
\(446\) −5.08115 28.8166i −0.240599 1.36451i
\(447\) 4.54695 25.7870i 0.215063 1.21969i
\(448\) 0.448944 0.163402i 0.0212106 0.00772002i
\(449\) −26.4813 22.2204i −1.24973 1.04865i −0.996699 0.0811896i \(-0.974128\pi\)
−0.253031 0.967458i \(-0.581427\pi\)
\(450\) 5.40444 0.254768
\(451\) 21.2238 + 17.8089i 0.999388 + 0.838587i
\(452\) −6.10611 10.5761i −0.287207 0.497458i
\(453\) −8.36620 3.04505i −0.393079 0.143069i
\(454\) −5.15229 + 8.92402i −0.241809 + 0.418825i
\(455\) −0.371937 0.644213i −0.0174367 0.0302012i
\(456\) −0.841386 4.77174i −0.0394015 0.223457i
\(457\) −30.9238 + 11.2553i −1.44655 + 0.526503i −0.941627 0.336659i \(-0.890703\pi\)
−0.504928 + 0.863162i \(0.668481\pi\)
\(458\) −7.83389 + 13.5687i −0.366053 + 0.634023i
\(459\) 8.69983 7.30003i 0.406074 0.340736i
\(460\) 1.38602 1.16301i 0.0646234 0.0542255i
\(461\) 17.0455 + 6.20405i 0.793888 + 0.288952i 0.706951 0.707262i \(-0.250070\pi\)
0.0869368 + 0.996214i \(0.472292\pi\)
\(462\) 0.295055 1.67334i 0.0137272 0.0778509i
\(463\) 0.0589368 0.334247i 0.00273903 0.0155338i −0.983408 0.181410i \(-0.941934\pi\)
0.986147 + 0.165876i \(0.0530451\pi\)
\(464\) −0.214458 0.0780564i −0.00995598 0.00362368i
\(465\) 2.46913 2.07184i 0.114503 0.0960795i
\(466\) 5.51861 4.63067i 0.255645 0.214512i
\(467\) 7.10101 12.2993i 0.328596 0.569144i −0.653638 0.756808i \(-0.726758\pi\)
0.982233 + 0.187663i \(0.0600913\pi\)
\(468\) −4.66621 + 1.69836i −0.215696 + 0.0785068i
\(469\) 0.873006 + 4.95106i 0.0403117 + 0.228619i
\(470\) −1.29503 2.24306i −0.0597354 0.103465i
\(471\) 8.31714 14.4057i 0.383233 0.663780i
\(472\) −4.20771 1.53148i −0.193676 0.0704922i
\(473\) −11.4517 19.8350i −0.526551 0.912013i
\(474\) −3.72602 3.12651i −0.171142 0.143605i
\(475\) −17.1864 −0.788566
\(476\) −0.735567 0.617214i −0.0337147 0.0282900i
\(477\) 4.55421 1.65760i 0.208523 0.0758962i
\(478\) −3.81210 + 21.6195i −0.174362 + 0.988853i
\(479\) −5.90065 33.4642i −0.269608 1.52902i −0.755586 0.655049i \(-0.772648\pi\)
0.485979 0.873971i \(-0.338463\pi\)
\(480\) −0.477756 −0.0218065
\(481\) 18.7637 + 19.7890i 0.855553 + 0.902301i
\(482\) 14.8104 0.674595
\(483\) 0.594561 + 3.37192i 0.0270534 + 0.153428i
\(484\) −0.749448 + 4.25033i −0.0340658 + 0.193197i
\(485\) −6.03213 + 2.19551i −0.273905 + 0.0996932i
\(486\) −8.29600 6.96117i −0.376314 0.315765i
\(487\) −25.3330 −1.14795 −0.573974 0.818874i \(-0.694599\pi\)
−0.573974 + 0.818874i \(0.694599\pi\)
\(488\) −1.10196 0.924653i −0.0498833 0.0418571i
\(489\) 10.1430 + 17.5682i 0.458683 + 0.794462i
\(490\) 2.20997 + 0.804364i 0.0998364 + 0.0363375i
\(491\) −10.6344 + 18.4193i −0.479922 + 0.831249i −0.999735 0.0230308i \(-0.992668\pi\)
0.519813 + 0.854280i \(0.326002\pi\)
\(492\) 7.37094 + 12.7668i 0.332308 + 0.575574i
\(493\) 0.0796507 + 0.451722i 0.00358729 + 0.0203445i
\(494\) 14.8388 5.40087i 0.667628 0.242997i
\(495\) 0.497253 0.861267i 0.0223499 0.0387111i
\(496\) −5.16818 + 4.33662i −0.232058 + 0.194720i
\(497\) −3.24979 + 2.72690i −0.145773 + 0.122318i
\(498\) 1.82868 + 0.665583i 0.0819449 + 0.0298255i
\(499\) 2.85314 16.1810i 0.127724 0.724359i −0.851928 0.523658i \(-0.824567\pi\)
0.979653 0.200701i \(-0.0643220\pi\)
\(500\) −0.595800 + 3.37895i −0.0266450 + 0.151111i
\(501\) 10.7375 + 3.90814i 0.479717 + 0.174603i
\(502\) 10.1806 8.54256i 0.454383 0.381273i
\(503\) 15.9979 13.4238i 0.713311 0.598539i −0.212215 0.977223i \(-0.568068\pi\)
0.925526 + 0.378684i \(0.123623\pi\)
\(504\) −0.264583 + 0.458271i −0.0117855 + 0.0204130i
\(505\) −5.58995 + 2.03458i −0.248750 + 0.0905375i
\(506\) 2.33887 + 13.2644i 0.103975 + 0.589674i
\(507\) 4.88321 + 8.45796i 0.216871 + 0.375631i
\(508\) 3.52479 6.10511i 0.156387 0.270871i
\(509\) −37.6746 13.7124i −1.66990 0.607793i −0.678026 0.735038i \(-0.737164\pi\)
−0.991871 + 0.127245i \(0.959386\pi\)
\(510\) 0.480107 + 0.831570i 0.0212595 + 0.0368226i
\(511\) −2.63019 2.20699i −0.116353 0.0976317i
\(512\) 1.00000 0.0441942
\(513\) 15.2464 + 12.7933i 0.673146 + 0.564837i
\(514\) −16.4470 + 5.98622i −0.725447 + 0.264041i
\(515\) −0.809339 + 4.58999i −0.0356637 + 0.202259i
\(516\) −2.11619 12.0015i −0.0931602 0.528338i
\(517\) 19.2811 0.847982
\(518\) 2.88726 + 0.330153i 0.126859 + 0.0145061i
\(519\) 9.09676 0.399303
\(520\) −0.270373 1.53336i −0.0118566 0.0672424i
\(521\) 1.59181 9.02760i 0.0697384 0.395506i −0.929879 0.367864i \(-0.880089\pi\)
0.999618 0.0276419i \(-0.00879982\pi\)
\(522\) 0.237536 0.0864559i 0.0103966 0.00378407i
\(523\) 22.7091 + 19.0552i 0.993000 + 0.833226i 0.985999 0.166749i \(-0.0533270\pi\)
0.00700102 + 0.999975i \(0.497771\pi\)
\(524\) 1.98503 0.0867164
\(525\) −2.45658 2.06131i −0.107214 0.0899631i
\(526\) 7.06672 + 12.2399i 0.308124 + 0.533686i
\(527\) 12.7418 + 4.63765i 0.555043 + 0.202019i
\(528\) 1.77827 3.08005i 0.0773892 0.134042i
\(529\) −2.07059 3.58637i −0.0900257 0.155929i
\(530\) 0.263884 + 1.49656i 0.0114624 + 0.0650063i
\(531\) 4.66049 1.69628i 0.202248 0.0736123i
\(532\) 0.841386 1.45732i 0.0364787 0.0631830i
\(533\) −36.8039 + 30.8822i −1.59415 + 1.33765i
\(534\) −4.03001 + 3.38158i −0.174395 + 0.146335i
\(535\) 6.67716 + 2.43029i 0.288679 + 0.105071i
\(536\) −1.82731 + 10.3632i −0.0789276 + 0.447621i
\(537\) −1.08447 + 6.15034i −0.0467984 + 0.265407i
\(538\) 25.1934 + 9.16963i 1.08616 + 0.395331i
\(539\) −13.4115 + 11.2536i −0.577673 + 0.484725i
\(540\) 1.50331 1.26143i 0.0646922 0.0542832i
\(541\) −14.4930 + 25.1027i −0.623104 + 1.07925i 0.365800 + 0.930693i \(0.380795\pi\)
−0.988904 + 0.148554i \(0.952538\pi\)
\(542\) 10.2547 3.73242i 0.440478 0.160321i
\(543\) 0.373540 + 2.11845i 0.0160301 + 0.0909113i
\(544\) −1.00492 1.74058i −0.0430857 0.0746266i
\(545\) −1.85087 + 3.20580i −0.0792825 + 0.137321i
\(546\) 2.76879 + 1.00776i 0.118493 + 0.0431281i
\(547\) −2.68304 4.64717i −0.114719 0.198699i 0.802949 0.596048i \(-0.203263\pi\)
−0.917667 + 0.397350i \(0.869930\pi\)
\(548\) 13.3276 + 11.1832i 0.569327 + 0.477722i
\(549\) 1.59330 0.0680003
\(550\) −9.66364 8.10875i −0.412059 0.345758i
\(551\) −0.755374 + 0.274934i −0.0321800 + 0.0117126i
\(552\) −1.24449 + 7.05784i −0.0529689 + 0.300401i
\(553\) −0.293334 1.66358i −0.0124738 0.0707426i
\(554\) 6.14345 0.261010
\(555\) −2.60022 1.29774i −0.110373 0.0550861i
\(556\) 0.737051 0.0312579
\(557\) −2.03774 11.5566i −0.0863416 0.489668i −0.997059 0.0766376i \(-0.975582\pi\)
0.910717 0.413030i \(-0.135530\pi\)
\(558\) 1.29760 7.35904i 0.0549316 0.311533i
\(559\) 37.3214 13.5839i 1.57853 0.574537i
\(560\) −0.127104 0.106653i −0.00537114 0.00450692i
\(561\) −7.14808 −0.301792
\(562\) 2.26215 + 1.89817i 0.0954229 + 0.0800693i
\(563\) −9.45929 16.3840i −0.398662 0.690502i 0.594899 0.803800i \(-0.297192\pi\)
−0.993561 + 0.113298i \(0.963859\pi\)
\(564\) 9.64056 + 3.50888i 0.405941 + 0.147750i
\(565\) −2.12063 + 3.67304i −0.0892156 + 0.154526i
\(566\) −7.23724 12.5353i −0.304204 0.526897i
\(567\) 0.369210 + 2.09390i 0.0155054 + 0.0879353i
\(568\) −8.34413 + 3.03702i −0.350112 + 0.127430i
\(569\) 10.8074 18.7189i 0.453068 0.784737i −0.545507 0.838107i \(-0.683663\pi\)
0.998575 + 0.0533694i \(0.0169961\pi\)
\(570\) −1.28908 + 1.08167i −0.0539936 + 0.0453060i
\(571\) −26.8881 + 22.5618i −1.12523 + 0.944181i −0.998857 0.0478018i \(-0.984778\pi\)
−0.126374 + 0.991983i \(0.540334\pi\)
\(572\) 10.8918 + 3.96430i 0.455410 + 0.165756i
\(573\) −5.49856 + 31.1839i −0.229706 + 1.30273i
\(574\) −0.889044 + 5.04202i −0.0371080 + 0.210450i
\(575\) 23.8872 + 8.69423i 0.996165 + 0.362574i
\(576\) −0.848476 + 0.711956i −0.0353532 + 0.0296648i
\(577\) −33.0040 + 27.6937i −1.37398 + 1.15290i −0.402593 + 0.915379i \(0.631891\pi\)
−0.971382 + 0.237523i \(0.923664\pi\)
\(578\) 6.48026 11.2241i 0.269543 0.466863i
\(579\) −13.6431 + 4.96568i −0.566988 + 0.206367i
\(580\) 0.0137635 + 0.0780564i 0.000571496 + 0.00324112i
\(581\) 0.337926 + 0.585304i 0.0140195 + 0.0242825i
\(582\) 12.7134 22.0202i 0.526985 0.912765i
\(583\) −10.6304 3.86915i −0.440266 0.160244i
\(584\) −3.59334 6.22384i −0.148693 0.257544i
\(585\) 1.32109 + 1.10853i 0.0546204 + 0.0458320i
\(586\) −12.5821 −0.519762
\(587\) −15.6463 13.1288i −0.645790 0.541882i 0.260000 0.965609i \(-0.416277\pi\)
−0.905790 + 0.423726i \(0.860722\pi\)
\(588\) −8.75371 + 3.18609i −0.360997 + 0.131392i
\(589\) −4.12642 + 23.4021i −0.170026 + 0.964267i
\(590\) 0.270042 + 1.53148i 0.0111174 + 0.0630501i
\(591\) −6.64252 −0.273237
\(592\) 5.44257 + 2.71633i 0.223688 + 0.111641i
\(593\) −0.908005 −0.0372873 −0.0186436 0.999826i \(-0.505935\pi\)
−0.0186436 + 0.999826i \(0.505935\pi\)
\(594\) 2.53680 + 14.3869i 0.104086 + 0.590302i
\(595\) −0.0579080 + 0.328413i −0.00237400 + 0.0134636i
\(596\) 17.8867 6.51023i 0.732668 0.266669i
\(597\) −10.8459 9.10080i −0.443894 0.372471i
\(598\) −23.3565 −0.955117
\(599\) −9.44037 7.92141i −0.385723 0.323660i 0.429221 0.903199i \(-0.358788\pi\)
−0.814944 + 0.579539i \(0.803233\pi\)
\(600\) −3.35615 5.81301i −0.137014 0.237315i
\(601\) 32.2492 + 11.7377i 1.31547 + 0.478792i 0.902004 0.431727i \(-0.142095\pi\)
0.413467 + 0.910519i \(0.364318\pi\)
\(602\) 2.11619 3.66535i 0.0862496 0.149389i
\(603\) −5.82769 10.0939i −0.237322 0.411054i
\(604\) −1.12385 6.37365i −0.0457287 0.259340i
\(605\) 1.40850 0.512653i 0.0572637 0.0208423i
\(606\) 11.7814 20.4060i 0.478588 0.828938i
\(607\) −3.12973 + 2.62616i −0.127032 + 0.106593i −0.704090 0.710110i \(-0.748645\pi\)
0.577058 + 0.816703i \(0.304201\pi\)
\(608\) 2.69820 2.26405i 0.109426 0.0918196i
\(609\) −0.140947 0.0513003i −0.00571144 0.00207879i
\(610\) −0.0867525 + 0.491998i −0.00351251 + 0.0199204i
\(611\) −5.80596 + 32.9272i −0.234884 + 1.33209i
\(612\) 2.09187 + 0.761377i 0.0845587 + 0.0307768i
\(613\) 15.2276 12.7775i 0.615036 0.516077i −0.281202 0.959648i \(-0.590733\pi\)
0.896239 + 0.443572i \(0.146289\pi\)
\(614\) −14.4780 + 12.1485i −0.584285 + 0.490273i
\(615\) 2.55990 4.43388i 0.103225 0.178791i
\(616\) 1.16068 0.422454i 0.0467652 0.0170211i
\(617\) 0.664267 + 3.76724i 0.0267424 + 0.151664i 0.995255 0.0973009i \(-0.0310209\pi\)
−0.968513 + 0.248964i \(0.919910\pi\)
\(618\) −9.23072 15.9881i −0.371314 0.643135i
\(619\) 5.97516 10.3493i 0.240162 0.415973i −0.720598 0.693353i \(-0.756133\pi\)
0.960760 + 0.277380i \(0.0894661\pi\)
\(620\) 2.20176 + 0.801375i 0.0884248 + 0.0321840i
\(621\) −14.7190 25.4941i −0.590654 1.02304i
\(622\) −0.0868584 0.0728829i −0.00348271 0.00292234i
\(623\) −1.82706 −0.0731995
\(624\) 4.72446 + 3.96430i 0.189130 + 0.158699i
\(625\) −21.8059 + 7.93669i −0.872235 + 0.317468i
\(626\) 1.59428 9.04161i 0.0637202 0.361375i
\(627\) −2.17529 12.3367i −0.0868727 0.492679i
\(628\) 12.0920 0.482523
\(629\) −0.741374 12.2029i −0.0295605 0.486562i
\(630\) 0.183777 0.00732186
\(631\) −3.49888 19.8431i −0.139288 0.789942i −0.971777 0.235901i \(-0.924196\pi\)
0.832489 0.554041i \(-0.186915\pi\)
\(632\) 0.613983 3.48207i 0.0244229 0.138509i
\(633\) 1.77219 0.645024i 0.0704381 0.0256374i
\(634\) 20.1198 + 16.8826i 0.799061 + 0.670492i
\(635\) −2.44829 −0.0971575
\(636\) −4.61107 3.86915i −0.182841 0.153422i
\(637\) −15.1797 26.2920i −0.601442 1.04173i
\(638\) −0.554452 0.201804i −0.0219510 0.00798950i
\(639\) 4.91758 8.51749i 0.194536 0.336947i
\(640\) −0.173648 0.300767i −0.00686405 0.0118889i
\(641\) 5.23531 + 29.6909i 0.206782 + 1.17272i 0.894610 + 0.446848i \(0.147453\pi\)
−0.687828 + 0.725874i \(0.741435\pi\)
\(642\) −26.4483 + 9.62639i −1.04383 + 0.379923i
\(643\) 6.52757 11.3061i 0.257422 0.445868i −0.708128 0.706084i \(-0.750460\pi\)
0.965551 + 0.260215i \(0.0837936\pi\)
\(644\) −1.90666 + 1.59988i −0.0751331 + 0.0630442i
\(645\) −3.24220 + 2.72053i −0.127661 + 0.107121i
\(646\) −6.65224 2.42122i −0.261729 0.0952615i
\(647\) 8.16883 46.3278i 0.321150 1.82133i −0.214303 0.976767i \(-0.568748\pi\)
0.535453 0.844565i \(-0.320141\pi\)
\(648\) −0.772801 + 4.38277i −0.0303585 + 0.172172i
\(649\) −10.8785 3.95944i −0.427017 0.155422i
\(650\) 16.7576 14.0613i 0.657287 0.551530i
\(651\) −3.39664 + 2.85012i −0.133125 + 0.111705i
\(652\) −7.37329 + 12.7709i −0.288760 + 0.500148i
\(653\) 25.9534 9.44628i 1.01564 0.369661i 0.220042 0.975491i \(-0.429381\pi\)
0.795595 + 0.605829i \(0.207158\pi\)
\(654\) −2.54614 14.4399i −0.0995618 0.564643i
\(655\) −0.344697 0.597032i −0.0134684 0.0233280i
\(656\) −5.35818 + 9.28064i −0.209202 + 0.362348i
\(657\) 7.47996 + 2.72248i 0.291821 + 0.106214i
\(658\) 1.78150 + 3.08565i 0.0694502 + 0.120291i
\(659\) 27.5226 + 23.0942i 1.07213 + 0.899624i 0.995244 0.0974158i \(-0.0310577\pi\)
0.0768864 + 0.997040i \(0.475502\pi\)
\(660\) −1.23517 −0.0480790
\(661\) 30.2001 + 25.3409i 1.17465 + 0.985645i 0.999999 + 0.00101438i \(0.000322887\pi\)
0.174647 + 0.984631i \(0.444122\pi\)
\(662\) 26.8546 9.77429i 1.04373 0.379888i
\(663\) 2.15244 12.2071i 0.0835939 0.474085i
\(664\) 0.245649 + 1.39315i 0.00953304 + 0.0540645i
\(665\) −0.584421 −0.0226629
\(666\) −6.55180 + 1.57013i −0.253877 + 0.0608411i
\(667\) 1.18897 0.0460372
\(668\) 1.44239 + 8.18020i 0.0558078 + 0.316501i
\(669\) 6.98984 39.6414i 0.270243 1.53262i
\(670\) 3.43421 1.24995i 0.132675 0.0482898i
\(671\) −2.84896 2.39056i −0.109983 0.0922867i
\(672\) 0.657221 0.0253529
\(673\) 11.6863 + 9.80600i 0.450475 + 0.377994i 0.839612 0.543186i \(-0.182782\pi\)
−0.389137 + 0.921180i \(0.627227\pi\)
\(674\) 4.88643 + 8.46354i 0.188218 + 0.326003i
\(675\) 25.9087 + 9.42999i 0.997226 + 0.362961i
\(676\) −3.54976 + 6.14837i −0.136529 + 0.236476i
\(677\) −10.7029 18.5379i −0.411345 0.712471i 0.583692 0.811975i \(-0.301608\pi\)
−0.995037 + 0.0995043i \(0.968274\pi\)
\(678\) −2.91723 16.5444i −0.112036 0.635385i
\(679\) 8.29805 3.02024i 0.318450 0.115906i
\(680\) −0.349006 + 0.604496i −0.0133838 + 0.0231814i
\(681\) −10.8590 + 9.11178i −0.416118 + 0.349164i
\(682\) −13.3616 + 11.2117i −0.511643 + 0.429319i
\(683\) −11.8657 4.31877i −0.454029 0.165253i 0.104875 0.994485i \(-0.466556\pi\)
−0.558904 + 0.829232i \(0.688778\pi\)
\(684\) −0.677447 + 3.84199i −0.0259028 + 0.146902i
\(685\) 1.04922 5.95045i 0.0400888 0.227355i
\(686\) −6.18274 2.25033i −0.236058 0.0859181i
\(687\) −16.5108 + 13.8542i −0.629925 + 0.528569i
\(688\) 6.78631 5.69439i 0.258725 0.217096i
\(689\) 9.80855 16.9889i 0.373676 0.647226i
\(690\) 2.33887 0.851279i 0.0890393 0.0324076i
\(691\) −0.596082 3.38055i −0.0226760 0.128602i 0.971368 0.237579i \(-0.0763538\pi\)
−0.994044 + 0.108977i \(0.965243\pi\)
\(692\) 3.30637 + 5.72679i 0.125689 + 0.217700i
\(693\) −0.684042 + 1.18480i −0.0259846 + 0.0450067i
\(694\) −15.5767 5.66944i −0.591282 0.215209i
\(695\) −0.127988 0.221681i −0.00485485 0.00840884i
\(696\) −0.240501 0.201804i −0.00911616 0.00764937i
\(697\) 21.5382 0.815818
\(698\) 14.3165 + 12.0129i 0.541886 + 0.454696i
\(699\) 9.31253 3.38948i 0.352232 0.128202i
\(700\) 0.404801 2.29574i 0.0153000 0.0867708i
\(701\) 0.0325577 + 0.184644i 0.00122969 + 0.00697390i 0.985416 0.170160i \(-0.0544285\pi\)
−0.984187 + 0.177134i \(0.943317\pi\)
\(702\) −25.3331 −0.956134
\(703\) 20.8350 4.99308i 0.785808 0.188317i
\(704\) 2.58536 0.0974395
\(705\) −0.618709 3.50888i −0.0233019 0.132152i
\(706\) 0.938401 5.32193i 0.0353172 0.200294i
\(707\) 7.68978 2.79885i 0.289204 0.105262i
\(708\) −4.71867 3.95944i −0.177339 0.148805i
\(709\) −48.4114 −1.81813 −0.909064 0.416656i \(-0.863202\pi\)
−0.909064 + 0.416656i \(0.863202\pi\)
\(710\) 2.36238 + 1.98227i 0.0886585 + 0.0743933i
\(711\) 1.95813 + 3.39158i 0.0734357 + 0.127194i
\(712\) −3.59362 1.30797i −0.134677 0.0490182i
\(713\) 17.5739 30.4389i 0.658148 1.13995i
\(714\) −0.660456 1.14394i −0.0247170 0.0428110i
\(715\) −0.699012 3.96430i −0.0261416 0.148256i
\(716\) −4.26607 + 1.55272i −0.159430 + 0.0580279i
\(717\) −15.0998 + 26.1536i −0.563911 + 0.976722i
\(718\) −8.09432 + 6.79194i −0.302077 + 0.253473i
\(719\) −34.9152 + 29.2973i −1.30212 + 1.09261i −0.312341 + 0.949970i \(0.601113\pi\)
−0.989775 + 0.142635i \(0.954443\pi\)
\(720\) 0.361470 + 0.131564i 0.0134712 + 0.00490311i
\(721\) 1.11336 6.31419i 0.0414637 0.235153i
\(722\) −1.14500 + 6.49362i −0.0426125 + 0.241668i
\(723\) 19.1451 + 6.96825i 0.712015 + 0.259152i
\(724\) −1.19788 + 1.00514i −0.0445190 + 0.0373559i
\(725\) −0.853053 + 0.715797i −0.0316816 + 0.0265840i
\(726\) −2.96857 + 5.14171i −0.110174 + 0.190827i
\(727\) −39.4113 + 14.3445i −1.46168 + 0.532009i −0.945828 0.324667i \(-0.894748\pi\)
−0.515854 + 0.856676i \(0.672525\pi\)
\(728\) 0.371937 + 2.10936i 0.0137849 + 0.0781780i
\(729\) −14.1244 24.4643i −0.523128 0.906084i
\(730\) −1.24795 + 2.16152i −0.0461888 + 0.0800013i
\(731\) −16.7312 6.08967i −0.618827 0.225234i
\(732\) −0.989435 1.71375i −0.0365706 0.0633421i
\(733\) 13.4938 + 11.3227i 0.498406 + 0.418212i 0.857027 0.515271i \(-0.172309\pi\)
−0.358622 + 0.933483i \(0.616753\pi\)
\(734\) −0.215875 −0.00796811
\(735\) 2.47834 + 2.07957i 0.0914149 + 0.0767062i
\(736\) −4.89554 + 1.78183i −0.180452 + 0.0656791i
\(737\) −4.72425 + 26.7925i −0.174020 + 0.986916i
\(738\) −2.06112 11.6892i −0.0758708 0.430285i
\(739\) 39.4393 1.45080 0.725400 0.688328i \(-0.241655\pi\)
0.725400 + 0.688328i \(0.241655\pi\)
\(740\) −0.128108 2.10863i −0.00470933 0.0775149i
\(741\) 21.7229 0.798011
\(742\) −0.363009 2.05873i −0.0133265 0.0755783i
\(743\) 2.27755 12.9167i 0.0835554 0.473866i −0.914104 0.405481i \(-0.867104\pi\)
0.997659 0.0683854i \(-0.0217847\pi\)
\(744\) −8.72118 + 3.17425i −0.319734 + 0.116374i
\(745\) −5.06406 4.24925i −0.185533 0.155680i
\(746\) −19.8047 −0.725102
\(747\) −1.20029 1.00716i −0.0439162 0.0368500i
\(748\) −2.59809 4.50002i −0.0949955 0.164537i
\(749\) −9.18539 3.34321i −0.335627 0.122158i
\(750\) −2.35997 + 4.08758i −0.0861738 + 0.149257i
\(751\) 19.9893 + 34.6226i 0.729421 + 1.26340i 0.957128 + 0.289665i \(0.0935440\pi\)
−0.227707 + 0.973730i \(0.573123\pi\)
\(752\) 1.29503 + 7.34450i 0.0472250 + 0.267826i
\(753\) 17.1796 6.25285i 0.626058 0.227866i
\(754\) 0.511588 0.886096i 0.0186309 0.0322697i
\(755\) −1.72183 + 1.44479i −0.0626639 + 0.0525813i
\(756\) −2.06802 + 1.73527i −0.0752131 + 0.0631113i
\(757\) −26.2852 9.56703i −0.955352 0.347720i −0.183141 0.983087i \(-0.558627\pi\)
−0.772210 + 0.635367i \(0.780849\pi\)
\(758\) −4.01057 + 22.7451i −0.145670 + 0.826137i
\(759\) −3.21745 + 18.2471i −0.116786 + 0.662326i
\(760\) −1.14949 0.418380i −0.0416964 0.0151763i
\(761\) −1.66744 + 1.39915i −0.0604447 + 0.0507191i −0.672510 0.740088i \(-0.734784\pi\)
0.612065 + 0.790808i \(0.290339\pi\)
\(762\) 7.42887 6.23356i 0.269119 0.225818i
\(763\) 2.54614 4.41004i 0.0921763 0.159654i
\(764\) −21.6301 + 7.87272i −0.782550 + 0.284825i
\(765\) −0.134251 0.761377i −0.00485387 0.0275276i
\(766\) 2.54301 + 4.40462i 0.0918826 + 0.159145i
\(767\) 10.0374 17.3854i 0.362431 0.627749i
\(768\) 1.29268 + 0.470498i 0.0466456 + 0.0169776i
\(769\) 20.6905 + 35.8370i 0.746118 + 1.29231i 0.949671 +