Properties

Label 507.2.t.b.4.5
Level $507$
Weight $2$
Character 507.4
Analytic conductor $4.048$
Analytic rank $0$
Dimension $360$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 507 = 3 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 507.t (of order \(78\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.04841538248\)
Analytic rank: \(0\)
Dimension: \(360\)
Relative dimension: \(15\) over \(\Q(\zeta_{78})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{78}]$

Embedding invariants

Embedding label 4.5
Character \(\chi\) \(=\) 507.4
Dual form 507.2.t.b.127.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.38591 - 0.0558504i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(-0.0758757 - 0.00612532i) q^{4} +(-1.08360 - 0.410955i) q^{5} +(0.439231 - 1.31566i) q^{6} +(-0.389218 - 0.913528i) q^{7} +(2.85867 + 0.347105i) q^{8} +(-0.845190 - 0.534466i) q^{9} +O(q^{10})\) \(q+(-1.38591 - 0.0558504i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(-0.0758757 - 0.00612532i) q^{4} +(-1.08360 - 0.410955i) q^{5} +(0.439231 - 1.31566i) q^{6} +(-0.389218 - 0.913528i) q^{7} +(2.85867 + 0.347105i) q^{8} +(-0.845190 - 0.534466i) q^{9} +(1.47882 + 0.630068i) q^{10} +(1.94766 + 3.07997i) q^{11} +(0.0269934 - 0.0711758i) q^{12} +(3.40592 - 1.18311i) q^{13} +(0.488402 + 1.28781i) q^{14} +(0.696206 - 0.926482i) q^{15} +(-3.79221 - 0.616294i) q^{16} +(-4.47322 + 1.90586i) q^{17} +(1.14151 + 0.787928i) q^{18} +(-3.01875 + 1.74288i) q^{19} +(0.0797016 + 0.0378189i) q^{20} +(0.985747 - 0.119691i) q^{21} +(-2.52727 - 4.37736i) q^{22} +(-2.61738 + 4.53344i) q^{23} +(-1.12873 + 2.64923i) q^{24} +(-2.73725 - 2.42499i) q^{25} +(-4.78638 + 1.44946i) q^{26} +(0.748511 - 0.663123i) q^{27} +(0.0239365 + 0.0716986i) q^{28} +(0.0493053 - 1.22350i) q^{29} +(-1.01663 + 1.24514i) q^{30} +(-4.88945 - 5.51904i) q^{31} +(-0.421679 - 0.0860864i) q^{32} +(-3.50024 + 1.01386i) q^{33} +(6.30594 - 2.39153i) q^{34} +(0.0463374 + 1.14985i) q^{35} +(0.0608556 + 0.0457300i) q^{36} +(-2.26111 + 0.461609i) q^{37} +(4.28108 - 2.24688i) q^{38} +(0.188810 + 3.60060i) q^{39} +(-2.95501 - 1.55091i) q^{40} +(-3.65572 - 1.05889i) q^{41} +(-1.37285 + 0.110828i) q^{42} +(0.850111 - 4.16412i) q^{43} +(-0.128914 - 0.245625i) q^{44} +(0.696206 + 0.926482i) q^{45} +(3.88066 - 6.13678i) q^{46} +(-10.5658 + 7.29305i) q^{47} +(1.64702 - 3.47102i) q^{48} +(4.16603 - 4.33729i) q^{49} +(3.65816 + 3.51371i) q^{50} +(-0.586086 - 4.82685i) q^{51} +(-0.265673 + 0.0689066i) q^{52} +(0.163967 - 1.35039i) q^{53} +(-1.07441 + 0.877226i) q^{54} +(-0.844750 - 4.13786i) q^{55} +(-0.795554 - 2.74657i) q^{56} +(-0.834196 - 3.38447i) q^{57} +(-0.136666 + 1.69291i) q^{58} +(1.11874 + 6.88387i) q^{59} +(-0.0585001 + 0.0660330i) q^{60} +(-12.0921 + 9.08662i) q^{61} +(6.46811 + 7.92200i) q^{62} +(-0.159286 + 0.980128i) q^{63} +(8.04024 + 1.98174i) q^{64} +(-4.17685 - 0.117665i) q^{65} +(4.90766 - 1.20963i) q^{66} +(-0.176479 - 2.18608i) q^{67} +(0.351082 - 0.117209i) q^{68} +(-3.62625 - 3.77533i) q^{69} -1.59618i q^{70} +(-8.03953 + 7.72207i) q^{71} +(-2.23060 - 1.82123i) q^{72} +(-3.63959 + 6.93466i) q^{73} +(3.15949 - 0.513467i) q^{74} +(3.09080 - 1.95450i) q^{75} +(0.239726 - 0.113751i) q^{76} +(2.05558 - 2.97802i) q^{77} +(-0.0605786 - 5.00067i) q^{78} +(4.09628 + 5.93448i) q^{79} +(3.85597 + 2.22624i) q^{80} +(0.428693 + 0.903450i) q^{81} +(5.00738 + 1.67171i) q^{82} +(-0.464489 + 1.88451i) q^{83} +(-0.0755274 + 0.00304365i) q^{84} +(5.63040 - 0.226898i) q^{85} +(-1.41075 + 5.72363i) q^{86} +(1.16147 + 0.387757i) q^{87} +(4.49863 + 9.48066i) q^{88} +(0.800318 + 0.462064i) q^{89} +(-0.913138 - 1.32291i) q^{90} +(-2.40644 - 2.65091i) q^{91} +(0.226364 - 0.327946i) q^{92} +(6.66147 - 3.16091i) q^{93} +(15.0506 - 9.51744i) q^{94} +(3.98737 - 0.648010i) q^{95} +(0.200006 - 0.381080i) q^{96} +(-5.97605 - 4.87929i) q^{97} +(-6.01600 + 5.77844i) q^{98} -3.64412i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + O(q^{10}) \) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + 6q^{11} - 28q^{12} + 6q^{13} + 4q^{14} - 6q^{15} + 20q^{16} - 6q^{19} - 12q^{20} - 28q^{22} + 46q^{23} - 6q^{25} - 39q^{26} + 30q^{27} - 6q^{28} + 43q^{29} + 26q^{31} - 195q^{32} + 19q^{33} + 65q^{34} + 84q^{35} - 14q^{36} - 65q^{38} - 2q^{39} + 12q^{41} - 128q^{42} + 83q^{43} - 39q^{44} - 6q^{45} - 20q^{48} + 72q^{49} - 52q^{50} - 55q^{52} + 49q^{53} - 49q^{55} - 2q^{56} + 26q^{57} + 26q^{58} - 202q^{59} - 182q^{60} - 3q^{61} - 65q^{62} - 3q^{63} - 14q^{64} - 58q^{65} + 48q^{66} - 41q^{67} + 139q^{68} + 6q^{69} - 60q^{71} - 52q^{73} - 269q^{74} + 23q^{75} - 14q^{76} + 70q^{77} - 65q^{78} + 18q^{79} + 492q^{80} + 15q^{81} - 65q^{82} + 78q^{83} - 6q^{84} - 91q^{85} - 169q^{86} + 48q^{87} - 522q^{88} - 12q^{89} + 373q^{91} + 72q^{92} - 3q^{93} - 13q^{94} - 110q^{95} + 65q^{96} - 121q^{97} - 104q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).

\(n\) \(170\) \(340\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{78}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.38591 0.0558504i −0.979989 0.0394922i −0.454903 0.890541i \(-0.650326\pi\)
−0.525087 + 0.851049i \(0.675967\pi\)
\(3\) −0.278217 + 0.960518i −0.160629 + 0.554555i
\(4\) −0.0758757 0.00612532i −0.0379378 0.00306266i
\(5\) −1.08360 0.410955i −0.484601 0.183785i 0.100191 0.994968i \(-0.468055\pi\)
−0.584792 + 0.811183i \(0.698824\pi\)
\(6\) 0.439231 1.31566i 0.179315 0.537115i
\(7\) −0.389218 0.913528i −0.147111 0.345281i 0.830080 0.557644i \(-0.188294\pi\)
−0.977191 + 0.212363i \(0.931884\pi\)
\(8\) 2.85867 + 0.347105i 1.01069 + 0.122720i
\(9\) −0.845190 0.534466i −0.281730 0.178155i
\(10\) 1.47882 + 0.630068i 0.467645 + 0.199245i
\(11\) 1.94766 + 3.07997i 0.587241 + 0.928647i 0.999843 + 0.0177356i \(0.00564571\pi\)
−0.412602 + 0.910911i \(0.635380\pi\)
\(12\) 0.0269934 0.0711758i 0.00779233 0.0205467i
\(13\) 3.40592 1.18311i 0.944631 0.328135i
\(14\) 0.488402 + 1.28781i 0.130531 + 0.344182i
\(15\) 0.696206 0.926482i 0.179760 0.239217i
\(16\) −3.79221 0.616294i −0.948052 0.154073i
\(17\) −4.47322 + 1.90586i −1.08492 + 0.462239i −0.859035 0.511916i \(-0.828936\pi\)
−0.225880 + 0.974155i \(0.572526\pi\)
\(18\) 1.14151 + 0.787928i 0.269057 + 0.185716i
\(19\) −3.01875 + 1.74288i −0.692550 + 0.399844i −0.804567 0.593863i \(-0.797602\pi\)
0.112017 + 0.993706i \(0.464269\pi\)
\(20\) 0.0797016 + 0.0378189i 0.0178218 + 0.00845656i
\(21\) 0.985747 0.119691i 0.215108 0.0261188i
\(22\) −2.52727 4.37736i −0.538815 0.933256i
\(23\) −2.61738 + 4.53344i −0.545762 + 0.945288i 0.452796 + 0.891614i \(0.350426\pi\)
−0.998559 + 0.0536739i \(0.982907\pi\)
\(24\) −1.12873 + 2.64923i −0.230401 + 0.540772i
\(25\) −2.73725 2.42499i −0.547450 0.484998i
\(26\) −4.78638 + 1.44946i −0.938687 + 0.284263i
\(27\) 0.748511 0.663123i 0.144051 0.127618i
\(28\) 0.0239365 + 0.0716986i 0.00452358 + 0.0135498i
\(29\) 0.0493053 1.22350i 0.00915576 0.227198i −0.988133 0.153604i \(-0.950912\pi\)
0.997288 0.0735941i \(-0.0234469\pi\)
\(30\) −1.01663 + 1.24514i −0.185610 + 0.227331i
\(31\) −4.88945 5.51904i −0.878170 0.991249i 0.121829 0.992551i \(-0.461124\pi\)
−0.999999 + 0.00130179i \(0.999586\pi\)
\(32\) −0.421679 0.0860864i −0.0745431 0.0152181i
\(33\) −3.50024 + 1.01386i −0.609314 + 0.176490i
\(34\) 6.30594 2.39153i 1.08146 0.410144i
\(35\) 0.0463374 + 1.14985i 0.00783244 + 0.194360i
\(36\) 0.0608556 + 0.0457300i 0.0101426 + 0.00762167i
\(37\) −2.26111 + 0.461609i −0.371725 + 0.0758881i −0.382256 0.924056i \(-0.624853\pi\)
0.0105315 + 0.999945i \(0.496648\pi\)
\(38\) 4.28108 2.24688i 0.694482 0.364492i
\(39\) 0.188810 + 3.60060i 0.0302337 + 0.576558i
\(40\) −2.95501 1.55091i −0.467228 0.245220i
\(41\) −3.65572 1.05889i −0.570928 0.165371i −0.0198177 0.999804i \(-0.506309\pi\)
−0.551111 + 0.834432i \(0.685796\pi\)
\(42\) −1.37285 + 0.110828i −0.211835 + 0.0171011i
\(43\) 0.850111 4.16412i 0.129641 0.635022i −0.862097 0.506743i \(-0.830849\pi\)
0.991738 0.128280i \(-0.0409455\pi\)
\(44\) −0.128914 0.245625i −0.0194345 0.0370294i
\(45\) 0.696206 + 0.926482i 0.103784 + 0.138112i
\(46\) 3.88066 6.13678i 0.572173 0.904819i
\(47\) −10.5658 + 7.29305i −1.54118 + 1.06380i −0.571143 + 0.820851i \(0.693500\pi\)
−0.970039 + 0.242950i \(0.921885\pi\)
\(48\) 1.64702 3.47102i 0.237727 0.500999i
\(49\) 4.16603 4.33729i 0.595147 0.619613i
\(50\) 3.65816 + 3.51371i 0.517341 + 0.496913i
\(51\) −0.586086 4.82685i −0.0820684 0.675894i
\(52\) −0.265673 + 0.0689066i −0.0368422 + 0.00955563i
\(53\) 0.163967 1.35039i 0.0225226 0.185490i −0.977106 0.212755i \(-0.931757\pi\)
0.999628 + 0.0272644i \(0.00867960\pi\)
\(54\) −1.07441 + 0.877226i −0.146208 + 0.119375i
\(55\) −0.844750 4.13786i −0.113906 0.557949i
\(56\) −0.795554 2.74657i −0.106310 0.367026i
\(57\) −0.834196 3.38447i −0.110492 0.448284i
\(58\) −0.136666 + 1.69291i −0.0179451 + 0.222290i
\(59\) 1.11874 + 6.88387i 0.145647 + 0.896204i 0.952297 + 0.305174i \(0.0987145\pi\)
−0.806649 + 0.591030i \(0.798721\pi\)
\(60\) −0.0585001 + 0.0660330i −0.00755233 + 0.00852482i
\(61\) −12.0921 + 9.08662i −1.54823 + 1.16342i −0.624107 + 0.781338i \(0.714537\pi\)
−0.924127 + 0.382085i \(0.875206\pi\)
\(62\) 6.46811 + 7.92200i 0.821451 + 1.00609i
\(63\) −0.159286 + 0.980128i −0.0200682 + 0.123485i
\(64\) 8.04024 + 1.98174i 1.00503 + 0.247718i
\(65\) −4.17685 0.117665i −0.518075 0.0145946i
\(66\) 4.90766 1.20963i 0.604091 0.148895i
\(67\) −0.176479 2.18608i −0.0215603 0.267072i −0.998552 0.0537949i \(-0.982868\pi\)
0.976992 0.213277i \(-0.0684138\pi\)
\(68\) 0.351082 0.117209i 0.0425750 0.0142136i
\(69\) −3.62625 3.77533i −0.436549 0.454496i
\(70\) 1.59618i 0.190780i
\(71\) −8.03953 + 7.72207i −0.954117 + 0.916442i −0.996578 0.0826565i \(-0.973660\pi\)
0.0424613 + 0.999098i \(0.486480\pi\)
\(72\) −2.23060 1.82123i −0.262879 0.214634i
\(73\) −3.63959 + 6.93466i −0.425982 + 0.811641i −0.999974 0.00722004i \(-0.997702\pi\)
0.573992 + 0.818861i \(0.305394\pi\)
\(74\) 3.15949 0.513467i 0.367283 0.0596893i
\(75\) 3.09080 1.95450i 0.356895 0.225687i
\(76\) 0.239726 0.113751i 0.0274984 0.0130482i
\(77\) 2.05558 2.97802i 0.234255 0.339377i
\(78\) −0.0605786 5.00067i −0.00685918 0.566215i
\(79\) 4.09628 + 5.93448i 0.460867 + 0.667682i 0.982666 0.185387i \(-0.0593540\pi\)
−0.521798 + 0.853069i \(0.674739\pi\)
\(80\) 3.85597 + 2.22624i 0.431110 + 0.248902i
\(81\) 0.428693 + 0.903450i 0.0476325 + 0.100383i
\(82\) 5.00738 + 1.67171i 0.552973 + 0.184609i
\(83\) −0.464489 + 1.88451i −0.0509843 + 0.206851i −0.990910 0.134528i \(-0.957048\pi\)
0.939925 + 0.341380i \(0.110894\pi\)
\(84\) −0.0755274 + 0.00304365i −0.00824071 + 0.000332089i
\(85\) 5.63040 0.226898i 0.610703 0.0246105i
\(86\) −1.41075 + 5.72363i −0.152125 + 0.617195i
\(87\) 1.16147 + 0.387757i 0.124523 + 0.0415719i
\(88\) 4.49863 + 9.48066i 0.479556 + 1.01064i
\(89\) 0.800318 + 0.462064i 0.0848335 + 0.0489787i 0.541817 0.840497i \(-0.317737\pi\)
−0.456983 + 0.889475i \(0.651070\pi\)
\(90\) −0.913138 1.32291i −0.0962532 0.139447i
\(91\) −2.40644 2.65091i −0.252264 0.277891i
\(92\) 0.226364 0.327946i 0.0236001 0.0341907i
\(93\) 6.66147 3.16091i 0.690762 0.327771i
\(94\) 15.0506 9.51744i 1.55235 0.981649i
\(95\) 3.98737 0.648010i 0.409095 0.0664844i
\(96\) 0.200006 0.381080i 0.0204130 0.0388938i
\(97\) −5.97605 4.87929i −0.606776 0.495417i 0.278529 0.960428i \(-0.410153\pi\)
−0.885305 + 0.465011i \(0.846051\pi\)
\(98\) −6.01600 + 5.77844i −0.607707 + 0.583711i
\(99\) 3.64412i 0.366248i
\(100\) 0.192837 + 0.200764i 0.0192837 + 0.0200764i
\(101\) 9.09829 3.03746i 0.905314 0.302238i 0.174373 0.984680i \(-0.444210\pi\)
0.730940 + 0.682442i \(0.239082\pi\)
\(102\) 0.542683 + 6.72234i 0.0537336 + 0.665610i
\(103\) 7.30545 1.80063i 0.719827 0.177422i 0.137647 0.990481i \(-0.456046\pi\)
0.582180 + 0.813060i \(0.302200\pi\)
\(104\) 10.1470 2.19990i 0.994999 0.215718i
\(105\) −1.11734 0.275400i −0.109042 0.0268763i
\(106\) −0.302664 + 1.86237i −0.0293973 + 0.180889i
\(107\) −7.78707 9.53742i −0.752804 0.922018i 0.246080 0.969250i \(-0.420857\pi\)
−0.998884 + 0.0472320i \(0.984960\pi\)
\(108\) −0.0608556 + 0.0457300i −0.00585583 + 0.00440037i
\(109\) −11.5268 + 13.0110i −1.10407 + 1.24623i −0.137310 + 0.990528i \(0.543846\pi\)
−0.966755 + 0.255704i \(0.917693\pi\)
\(110\) 0.939650 + 5.78190i 0.0895921 + 0.551282i
\(111\) 0.185697 2.30027i 0.0176256 0.218332i
\(112\) 0.912994 + 3.70416i 0.0862698 + 0.350010i
\(113\) −4.13881 14.2888i −0.389346 1.34418i −0.880888 0.473325i \(-0.843054\pi\)
0.491541 0.870854i \(-0.336434\pi\)
\(114\) 0.967101 + 4.73717i 0.0905773 + 0.443677i
\(115\) 4.69924 3.83681i 0.438206 0.357784i
\(116\) −0.0112354 + 0.0925317i −0.00104318 + 0.00859135i
\(117\) −3.51098 0.820396i −0.324590 0.0758456i
\(118\) −1.16601 9.60294i −0.107340 0.884022i
\(119\) 3.48211 + 3.34462i 0.319205 + 0.306600i
\(120\) 2.31181 2.40685i 0.211038 0.219714i
\(121\) −0.977251 + 2.05951i −0.0888410 + 0.187228i
\(122\) 17.2661 11.9179i 1.56320 1.07900i
\(123\) 2.03417 3.21679i 0.183415 0.290048i
\(124\) 0.337184 + 0.448710i 0.0302800 + 0.0402954i
\(125\) 4.66238 + 8.88343i 0.417016 + 0.794558i
\(126\) 0.275498 1.34948i 0.0245433 0.120221i
\(127\) 2.83849 0.229146i 0.251875 0.0203335i 0.0461158 0.998936i \(-0.485316\pi\)
0.205759 + 0.978603i \(0.434034\pi\)
\(128\) −10.2056 2.95610i −0.902059 0.261285i
\(129\) 3.76320 + 1.97508i 0.331331 + 0.173896i
\(130\) 5.78219 + 0.396353i 0.507132 + 0.0347625i
\(131\) 16.1080 8.45416i 1.40737 0.738643i 0.421603 0.906780i \(-0.361468\pi\)
0.985764 + 0.168137i \(0.0537752\pi\)
\(132\) 0.271793 0.0554870i 0.0236566 0.00482953i
\(133\) 2.76712 + 2.07936i 0.239940 + 0.180303i
\(134\) 0.122491 + 3.03958i 0.0105816 + 0.262579i
\(135\) −1.08360 + 0.410955i −0.0932614 + 0.0353694i
\(136\) −13.4490 + 3.89554i −1.15324 + 0.334040i
\(137\) −7.99613 1.63242i −0.683155 0.139467i −0.154101 0.988055i \(-0.549248\pi\)
−0.529054 + 0.848588i \(0.677453\pi\)
\(138\) 4.81482 + 5.43481i 0.409865 + 0.462642i
\(139\) −5.76419 + 7.05986i −0.488913 + 0.598809i −0.958858 0.283886i \(-0.908376\pi\)
0.469945 + 0.882695i \(0.344274\pi\)
\(140\) 0.00352732 0.0875294i 0.000298113 0.00739759i
\(141\) −4.06551 12.1777i −0.342378 1.02555i
\(142\) 11.5734 10.2531i 0.971217 0.860423i
\(143\) 10.2775 + 8.18584i 0.859447 + 0.684535i
\(144\) 2.87575 + 2.54769i 0.239646 + 0.212308i
\(145\) −0.556230 + 1.30552i −0.0461924 + 0.108418i
\(146\) 5.43147 9.40758i 0.449511 0.778576i
\(147\) 3.00699 + 5.20826i 0.248012 + 0.429570i
\(148\) 0.174391 0.0211749i 0.0143348 0.00174057i
\(149\) 15.2113 + 7.21786i 1.24616 + 0.591310i 0.933508 0.358557i \(-0.116731\pi\)
0.312652 + 0.949868i \(0.398783\pi\)
\(150\) −4.39274 + 2.53615i −0.358666 + 0.207076i
\(151\) 14.3672 + 9.91699i 1.16919 + 0.807033i 0.984435 0.175751i \(-0.0562355\pi\)
0.184755 + 0.982785i \(0.440851\pi\)
\(152\) −9.23458 + 3.93448i −0.749023 + 0.319129i
\(153\) 4.79934 + 0.779968i 0.388003 + 0.0630567i
\(154\) −3.01518 + 4.01248i −0.242970 + 0.323335i
\(155\) 3.03012 + 7.98978i 0.243385 + 0.641754i
\(156\) 0.00772878 0.274355i 0.000618798 0.0219660i
\(157\) 6.09950 16.0831i 0.486793 1.28357i −0.436581 0.899665i \(-0.643811\pi\)
0.923374 0.383902i \(-0.125420\pi\)
\(158\) −5.34565 8.45347i −0.425277 0.672522i
\(159\) 1.25145 + 0.533195i 0.0992468 + 0.0422851i
\(160\) 0.421554 + 0.266575i 0.0333268 + 0.0210746i
\(161\) 5.16016 + 0.626557i 0.406677 + 0.0493796i
\(162\) −0.543673 1.27605i −0.0427150 0.100256i
\(163\) 5.42838 16.2600i 0.425183 1.27358i −0.490417 0.871488i \(-0.663155\pi\)
0.915600 0.402091i \(-0.131716\pi\)
\(164\) 0.270894 + 0.102737i 0.0211533 + 0.00802239i
\(165\) 4.20951 + 0.339827i 0.327710 + 0.0264555i
\(166\) 0.748992 2.58582i 0.0581331 0.200699i
\(167\) −2.93704 0.118359i −0.227275 0.00915887i −0.0736328 0.997285i \(-0.523459\pi\)
−0.153642 + 0.988127i \(0.549100\pi\)
\(168\) 2.85947 0.220613
\(169\) 10.2005 8.05912i 0.784655 0.619932i
\(170\) −7.81593 −0.599454
\(171\) 3.48293 + 0.140357i 0.266346 + 0.0107334i
\(172\) −0.0900093 + 0.310748i −0.00686314 + 0.0236943i
\(173\) −20.9386 1.69034i −1.59193 0.128514i −0.747530 0.664228i \(-0.768760\pi\)
−0.844399 + 0.535714i \(0.820042\pi\)
\(174\) −1.58805 0.602267i −0.120390 0.0456578i
\(175\) −1.14991 + 3.44440i −0.0869251 + 0.260372i
\(176\) −5.48775 12.8802i −0.413655 0.970884i
\(177\) −6.92333 0.840645i −0.520390 0.0631868i
\(178\) −1.08337 0.685079i −0.0812017 0.0513488i
\(179\) −2.10505 0.896879i −0.157339 0.0670359i 0.311861 0.950128i \(-0.399048\pi\)
−0.469200 + 0.883092i \(0.655458\pi\)
\(180\) −0.0471501 0.0745619i −0.00351436 0.00555752i
\(181\) −5.65122 + 14.9011i −0.420052 + 1.10759i 0.543345 + 0.839509i \(0.317157\pi\)
−0.963397 + 0.268077i \(0.913612\pi\)
\(182\) 3.18707 + 3.80834i 0.236241 + 0.282293i
\(183\) −5.36363 14.1427i −0.396491 1.04546i
\(184\) −9.05581 + 12.0511i −0.667603 + 0.888418i
\(185\) 2.63984 + 0.429016i 0.194085 + 0.0315419i
\(186\) −9.40876 + 4.00870i −0.689884 + 0.293932i
\(187\) −14.5823 10.0654i −1.06636 0.736057i
\(188\) 0.846360 0.488646i 0.0617271 0.0356382i
\(189\) −0.897115 0.425686i −0.0652555 0.0309641i
\(190\) −5.56234 + 0.675390i −0.403535 + 0.0489980i
\(191\) 7.62869 + 13.2133i 0.551993 + 0.956080i 0.998131 + 0.0611154i \(0.0194658\pi\)
−0.446138 + 0.894964i \(0.647201\pi\)
\(192\) −4.14044 + 7.17144i −0.298810 + 0.517554i
\(193\) −2.07009 + 4.85867i −0.149008 + 0.349735i −0.977711 0.209953i \(-0.932669\pi\)
0.828703 + 0.559688i \(0.189079\pi\)
\(194\) 8.00978 + 7.09605i 0.575069 + 0.509466i
\(195\) 1.27509 3.97921i 0.0913113 0.284957i
\(196\) −0.342667 + 0.303577i −0.0244762 + 0.0216841i
\(197\) −5.12146 15.3406i −0.364889 1.09298i −0.957733 0.287658i \(-0.907123\pi\)
0.592844 0.805317i \(-0.298005\pi\)
\(198\) −0.203526 + 5.05044i −0.0144639 + 0.358919i
\(199\) −2.35338 + 2.88236i −0.166826 + 0.204325i −0.851251 0.524758i \(-0.824156\pi\)
0.684425 + 0.729083i \(0.260053\pi\)
\(200\) −6.98316 7.88236i −0.493784 0.557367i
\(201\) 2.14887 + 0.438695i 0.151570 + 0.0309431i
\(202\) −12.7791 + 3.70151i −0.899134 + 0.260437i
\(203\) −1.13689 + 0.431166i −0.0797941 + 0.0302619i
\(204\) 0.0149037 + 0.369830i 0.00104346 + 0.0258933i
\(205\) 3.52619 + 2.64976i 0.246279 + 0.185067i
\(206\) −10.2253 + 2.08751i −0.712430 + 0.145444i
\(207\) 4.63516 2.43272i 0.322166 0.169086i
\(208\) −13.6451 + 2.38754i −0.946116 + 0.165546i
\(209\) −11.2475 5.90315i −0.778007 0.408330i
\(210\) 1.53316 + 0.444086i 0.105798 + 0.0306448i
\(211\) −1.11585 + 0.0900806i −0.0768182 + 0.00620141i −0.118816 0.992916i \(-0.537910\pi\)
0.0419977 + 0.999118i \(0.486628\pi\)
\(212\) −0.0207127 + 0.101457i −0.00142255 + 0.00696811i
\(213\) −5.18045 9.87053i −0.354959 0.676318i
\(214\) 10.2595 + 13.6530i 0.701327 + 0.933297i
\(215\) −2.63245 + 4.16288i −0.179531 + 0.283906i
\(216\) 2.36992 1.63584i 0.161252 0.111304i
\(217\) −3.13874 + 6.61475i −0.213072 + 0.449039i
\(218\) 16.7018 17.3884i 1.13119 1.17769i
\(219\) −5.64827 5.42524i −0.381675 0.366604i
\(220\) 0.0387503 + 0.319137i 0.00261254 + 0.0215162i
\(221\) −12.9806 + 11.7835i −0.873168 + 0.792644i
\(222\) −0.385831 + 3.17760i −0.0258953 + 0.213267i
\(223\) 2.13181 1.74057i 0.142756 0.116557i −0.558376 0.829588i \(-0.688575\pi\)
0.701133 + 0.713031i \(0.252678\pi\)
\(224\) 0.0854827 + 0.418722i 0.00571156 + 0.0279771i
\(225\) 1.01742 + 3.51254i 0.0678281 + 0.234170i
\(226\) 4.93800 + 20.0342i 0.328471 + 1.33266i
\(227\) −1.21184 + 15.0113i −0.0804323 + 0.996333i 0.823123 + 0.567863i \(0.192230\pi\)
−0.903556 + 0.428471i \(0.859053\pi\)
\(228\) 0.0425643 + 0.261908i 0.00281889 + 0.0173453i
\(229\) −3.85310 + 4.34925i −0.254620 + 0.287407i −0.861897 0.507084i \(-0.830723\pi\)
0.607277 + 0.794490i \(0.292262\pi\)
\(230\) −6.72703 + 5.05503i −0.443567 + 0.333319i
\(231\) 2.28854 + 2.80296i 0.150575 + 0.184421i
\(232\) 0.565630 3.48046i 0.0371354 0.228503i
\(233\) 3.74967 + 0.924211i 0.245649 + 0.0605471i 0.360218 0.932868i \(-0.382702\pi\)
−0.114569 + 0.993415i \(0.536549\pi\)
\(234\) 4.82009 + 1.33309i 0.315099 + 0.0871467i
\(235\) 14.4462 3.56067i 0.942368 0.232273i
\(236\) −0.0427191 0.529171i −0.00278078 0.0344461i
\(237\) −6.83984 + 2.28347i −0.444295 + 0.148327i
\(238\) −4.63911 4.82983i −0.300709 0.313071i
\(239\) 14.6979i 0.950727i −0.879789 0.475363i \(-0.842317\pi\)
0.879789 0.475363i \(-0.157683\pi\)
\(240\) −3.21114 + 3.08435i −0.207279 + 0.199094i
\(241\) −12.1620 9.93000i −0.783426 0.639647i 0.153906 0.988085i \(-0.450815\pi\)
−0.937332 + 0.348438i \(0.886712\pi\)
\(242\) 1.46941 2.79973i 0.0944573 0.179973i
\(243\) −0.987050 + 0.160411i −0.0633193 + 0.0102904i
\(244\) 0.973154 0.615386i 0.0622998 0.0393960i
\(245\) −6.29674 + 2.98784i −0.402284 + 0.190886i
\(246\) −2.99885 + 4.34458i −0.191200 + 0.277000i
\(247\) −8.21961 + 9.50760i −0.523001 + 0.604954i
\(248\) −12.0616 17.4743i −0.765913 1.10962i
\(249\) −1.68087 0.970452i −0.106521 0.0614999i
\(250\) −5.96552 12.5721i −0.377293 0.795127i
\(251\) 8.93993 + 2.98459i 0.564283 + 0.188386i 0.584477 0.811411i \(-0.301300\pi\)
−0.0201931 + 0.999796i \(0.506428\pi\)
\(252\) 0.0180896 0.0733922i 0.00113953 0.00462327i
\(253\) −19.0606 + 0.768118i −1.19833 + 0.0482912i
\(254\) −3.94670 + 0.159046i −0.247638 + 0.00997946i
\(255\) −1.34854 + 5.47123i −0.0844487 + 0.342622i
\(256\) −1.73038 0.577685i −0.108149 0.0361053i
\(257\) −1.28426 2.70653i −0.0801101 0.168828i 0.859443 0.511231i \(-0.170810\pi\)
−0.939553 + 0.342403i \(0.888759\pi\)
\(258\) −5.10516 2.94746i −0.317833 0.183501i
\(259\) 1.30176 + 1.88592i 0.0808873 + 0.117186i
\(260\) 0.316201 + 0.0345125i 0.0196099 + 0.00214037i
\(261\) −0.695590 + 1.00774i −0.0430560 + 0.0623773i
\(262\) −22.7965 + 10.8171i −1.40838 + 0.668282i
\(263\) 0.872668 0.551842i 0.0538110 0.0340280i −0.507289 0.861776i \(-0.669352\pi\)
0.561100 + 0.827748i \(0.310378\pi\)
\(264\) −10.3579 + 1.68333i −0.637487 + 0.103602i
\(265\) −0.732624 + 1.39590i −0.0450047 + 0.0857493i
\(266\) −3.71886 3.03636i −0.228018 0.186171i
\(267\) −0.666483 + 0.640166i −0.0407881 + 0.0391775i
\(268\) 0.166951i 0.0101982i
\(269\) −12.5247 13.0396i −0.763647 0.795041i 0.219933 0.975515i \(-0.429416\pi\)
−0.983580 + 0.180474i \(0.942237\pi\)
\(270\) 1.52473 0.509029i 0.0927920 0.0309785i
\(271\) 2.25190 + 27.8948i 0.136793 + 1.69449i 0.593472 + 0.804855i \(0.297757\pi\)
−0.456679 + 0.889632i \(0.650961\pi\)
\(272\) 18.1379 4.47060i 1.09977 0.271070i
\(273\) 3.21576 1.57390i 0.194627 0.0952569i
\(274\) 10.9908 + 2.70898i 0.663977 + 0.163656i
\(275\) 2.13769 13.1537i 0.128907 0.793198i
\(276\) 0.252019 + 0.308667i 0.0151698 + 0.0185796i
\(277\) −10.3436 + 7.77271i −0.621487 + 0.467017i −0.864246 0.503070i \(-0.832204\pi\)
0.242759 + 0.970087i \(0.421948\pi\)
\(278\) 8.38297 9.46242i 0.502777 0.567518i
\(279\) 1.18277 + 7.27788i 0.0708106 + 0.435715i
\(280\) −0.266656 + 3.30312i −0.0159357 + 0.197399i
\(281\) 0.243194 + 0.986678i 0.0145077 + 0.0588602i 0.977750 0.209776i \(-0.0672733\pi\)
−0.963242 + 0.268636i \(0.913427\pi\)
\(282\) 4.95432 + 17.1043i 0.295026 + 1.01855i
\(283\) 0.0590539 + 0.289265i 0.00351039 + 0.0171950i 0.981508 0.191420i \(-0.0613094\pi\)
−0.977998 + 0.208616i \(0.933104\pi\)
\(284\) 0.657305 0.536673i 0.0390039 0.0318457i
\(285\) −0.486930 + 4.01023i −0.0288432 + 0.237545i
\(286\) −13.7865 11.9189i −0.815215 0.704778i
\(287\) 0.455545 + 3.75175i 0.0268899 + 0.221459i
\(288\) 0.310389 + 0.298133i 0.0182898 + 0.0175676i
\(289\) 4.60107 4.79022i 0.270651 0.281778i
\(290\) 0.843801 1.77827i 0.0495497 0.104424i
\(291\) 6.34929 4.38260i 0.372202 0.256912i
\(292\) 0.318633 0.503878i 0.0186466 0.0294873i
\(293\) −5.43085 7.22714i −0.317273 0.422214i 0.612429 0.790525i \(-0.290192\pi\)
−0.929703 + 0.368311i \(0.879936\pi\)
\(294\) −3.87654 7.38614i −0.226085 0.430768i
\(295\) 1.61670 7.91911i 0.0941278 0.461069i
\(296\) −6.62400 + 0.534744i −0.385012 + 0.0310814i
\(297\) 3.50024 + 1.01386i 0.203105 + 0.0588300i
\(298\) −20.6785 10.8529i −1.19787 0.628691i
\(299\) −3.55105 + 18.5372i −0.205362 + 1.07203i
\(300\) −0.246488 + 0.129367i −0.0142310 + 0.00746901i
\(301\) −4.13492 + 0.844150i −0.238333 + 0.0486560i
\(302\) −19.3579 14.5465i −1.11392 0.837058i
\(303\) 0.386228 + 9.58414i 0.0221882 + 0.550595i
\(304\) 12.5219 4.74892i 0.718178 0.272369i
\(305\) 16.8372 4.87695i 0.964095 0.279254i
\(306\) −6.60791 1.34901i −0.377749 0.0771180i
\(307\) 20.9318 + 23.6271i 1.19464 + 1.34847i 0.922399 + 0.386239i \(0.126226\pi\)
0.272240 + 0.962229i \(0.412236\pi\)
\(308\) −0.174210 + 0.213368i −0.00992652 + 0.0121578i
\(309\) −0.302964 + 7.51799i −0.0172350 + 0.427683i
\(310\) −3.75326 11.2424i −0.213171 0.638524i
\(311\) 21.8928 19.3954i 1.24143 1.09981i 0.250126 0.968213i \(-0.419528\pi\)
0.991303 0.131597i \(-0.0420104\pi\)
\(312\) −0.710044 + 10.3585i −0.0401983 + 0.586433i
\(313\) 23.7288 + 21.0219i 1.34123 + 1.18823i 0.965167 + 0.261636i \(0.0842620\pi\)
0.376066 + 0.926593i \(0.377276\pi\)
\(314\) −9.35163 + 21.9491i −0.527743 + 1.23866i
\(315\) 0.575392 0.996607i 0.0324196 0.0561525i
\(316\) −0.274457 0.475374i −0.0154394 0.0267419i
\(317\) −20.1962 + 2.45227i −1.13433 + 0.137733i −0.666093 0.745869i \(-0.732035\pi\)
−0.468240 + 0.883601i \(0.655112\pi\)
\(318\) −1.70463 0.808857i −0.0955909 0.0453584i
\(319\) 3.86437 2.23110i 0.216363 0.124917i
\(320\) −7.89800 5.45160i −0.441512 0.304753i
\(321\) 11.3274 4.82614i 0.632232 0.269369i
\(322\) −7.11654 1.15655i −0.396589 0.0644521i
\(323\) 10.1819 13.5496i 0.566534 0.753920i
\(324\) −0.0269934 0.0711758i −0.00149963 0.00395421i
\(325\) −12.1919 5.02086i −0.676283 0.278507i
\(326\) −8.43139 + 22.2317i −0.466971 + 1.23130i
\(327\) −9.29039 14.6916i −0.513760 0.812446i
\(328\) −10.0830 4.29594i −0.556738 0.237204i
\(329\) 10.7748 + 6.81357i 0.594034 + 0.375645i
\(330\) −5.81504 0.706074i −0.320108 0.0388681i
\(331\) −4.68998 11.0078i −0.257785 0.605043i 0.739925 0.672690i \(-0.234861\pi\)
−0.997709 + 0.0676469i \(0.978451\pi\)
\(332\) 0.0467866 0.140143i 0.00256775 0.00769134i
\(333\) 2.15778 + 0.818340i 0.118246 + 0.0448447i
\(334\) 4.06387 + 0.328070i 0.222365 + 0.0179512i
\(335\) −0.707149 + 2.44136i −0.0386357 + 0.133386i
\(336\) −3.81192 0.153615i −0.207958 0.00838040i
\(337\) 31.3012 1.70509 0.852543 0.522658i \(-0.175059\pi\)
0.852543 + 0.522658i \(0.175059\pi\)
\(338\) −14.5872 + 10.5995i −0.793436 + 0.576539i
\(339\) 14.8762 0.807962
\(340\) −0.428600 0.0172720i −0.0232441 0.000936706i
\(341\) 7.47554 25.8086i 0.404823 1.39761i
\(342\) −4.81920 0.389046i −0.260593 0.0210372i
\(343\) −12.0829 4.58246i −0.652418 0.247429i
\(344\) 3.87557 11.6088i 0.208957 0.625902i
\(345\) 2.37791 + 5.58117i 0.128023 + 0.300480i
\(346\) 28.9246 + 3.51209i 1.55500 + 0.188811i
\(347\) −11.8825 7.51402i −0.637885 0.403374i 0.176008 0.984389i \(-0.443681\pi\)
−0.813893 + 0.581015i \(0.802656\pi\)
\(348\) −0.0857525 0.0365357i −0.00459682 0.00195852i
\(349\) 6.39782 + 10.1173i 0.342467 + 0.541569i 0.971872 0.235509i \(-0.0756756\pi\)
−0.629405 + 0.777078i \(0.716701\pi\)
\(350\) 1.78605 4.70942i 0.0954683 0.251729i
\(351\) 1.76482 3.14411i 0.0941991 0.167820i
\(352\) −0.556143 1.46643i −0.0296425 0.0781609i
\(353\) −18.6919 + 24.8744i −0.994870 + 1.32393i −0.0492055 + 0.998789i \(0.515669\pi\)
−0.945665 + 0.325143i \(0.894587\pi\)
\(354\) 9.54820 + 1.55173i 0.507481 + 0.0824737i
\(355\) 11.8851 5.06375i 0.630794 0.268756i
\(356\) −0.0578944 0.0399616i −0.00306840 0.00211796i
\(357\) −4.18135 + 2.41410i −0.221300 + 0.127768i
\(358\) 2.86733 + 1.36057i 0.151543 + 0.0719081i
\(359\) −4.91436 + 0.596712i −0.259370 + 0.0314932i −0.249189 0.968455i \(-0.580164\pi\)
−0.0101814 + 0.999948i \(0.503241\pi\)
\(360\) 1.66864 + 2.89016i 0.0879448 + 0.152325i
\(361\) −3.42475 + 5.93184i −0.180250 + 0.312202i
\(362\) 8.66434 20.3360i 0.455388 1.06883i
\(363\) −1.70631 1.51166i −0.0895581 0.0793415i
\(364\) 0.166353 + 0.215880i 0.00871926 + 0.0113152i
\(365\) 6.79370 6.01869i 0.355598 0.315033i
\(366\) 6.64366 + 19.9002i 0.347270 + 1.04020i
\(367\) 0.118430 2.93880i 0.00618198 0.153404i −0.993150 0.116849i \(-0.962721\pi\)
0.999332 0.0365550i \(-0.0116384\pi\)
\(368\) 12.7196 15.5787i 0.663055 0.812095i
\(369\) 2.52384 + 2.84883i 0.131386 + 0.148304i
\(370\) −3.63463 0.742016i −0.188956 0.0385756i
\(371\) −1.29744 + 0.375807i −0.0673596 + 0.0195109i
\(372\) −0.524805 + 0.199032i −0.0272099 + 0.0103193i
\(373\) −0.952436 23.6345i −0.0493153 1.22375i −0.814588 0.580040i \(-0.803037\pi\)
0.765273 0.643706i \(-0.222604\pi\)
\(374\) 19.6477 + 14.7643i 1.01596 + 0.763442i
\(375\) −9.82985 + 2.00678i −0.507611 + 0.103630i
\(376\) −32.7356 + 17.1810i −1.68821 + 0.886040i
\(377\) −1.27960 4.22547i −0.0659027 0.217623i
\(378\) 1.21955 + 0.640069i 0.0627269 + 0.0329216i
\(379\) 23.7880 + 6.89028i 1.22191 + 0.353930i 0.825636 0.564203i \(-0.190817\pi\)
0.396272 + 0.918133i \(0.370304\pi\)
\(380\) −0.306513 + 0.0247443i −0.0157238 + 0.00126936i
\(381\) −0.569617 + 2.79017i −0.0291824 + 0.142945i
\(382\) −9.83475 18.7385i −0.503189 0.958747i
\(383\) 18.0422 + 24.0098i 0.921913 + 1.22684i 0.973619 + 0.228181i \(0.0732777\pi\)
−0.0517061 + 0.998662i \(0.516466\pi\)
\(384\) 5.67877 8.98026i 0.289794 0.458272i
\(385\) −3.45126 + 2.38223i −0.175892 + 0.121410i
\(386\) 3.14032 6.61808i 0.159838 0.336852i
\(387\) −2.94409 + 3.06512i −0.149656 + 0.155809i
\(388\) 0.423549 + 0.406825i 0.0215025 + 0.0206534i
\(389\) 2.73390 + 22.5157i 0.138614 + 1.14159i 0.881504 + 0.472177i \(0.156532\pi\)
−0.742889 + 0.669414i \(0.766545\pi\)
\(390\) −1.98941 + 5.44362i −0.100738 + 0.275649i
\(391\) 3.06802 25.2674i 0.155157 1.27783i
\(392\) 13.4148 10.9528i 0.677549 0.553202i
\(393\) 3.63883 + 17.8242i 0.183555 + 0.899110i
\(394\) 6.24112 + 21.5468i 0.314423 + 1.08551i
\(395\) −1.99992 8.11399i −0.100627 0.408259i
\(396\) −0.0223214 + 0.276500i −0.00112169 + 0.0138946i
\(397\) −4.85419 29.8691i −0.243625 1.49908i −0.764039 0.645170i \(-0.776786\pi\)
0.520414 0.853914i \(-0.325778\pi\)
\(398\) 3.42256 3.86327i 0.171557 0.193648i
\(399\) −2.76712 + 2.07936i −0.138529 + 0.104098i
\(400\) 8.88571 + 10.8830i 0.444286 + 0.544151i
\(401\) 3.42768 21.0914i 0.171170 1.05325i −0.749240 0.662298i \(-0.769581\pi\)
0.920410 0.390954i \(-0.127855\pi\)
\(402\) −2.95365 0.728009i −0.147315 0.0363098i
\(403\) −23.1826 13.0127i −1.15481 0.648207i
\(404\) −0.708944 + 0.174739i −0.0352713 + 0.00869359i
\(405\) −0.0932535 1.15515i −0.00463381 0.0574000i
\(406\) 1.59971 0.534063i 0.0793924 0.0265051i
\(407\) −5.82562 6.06511i −0.288765 0.300636i
\(408\) 14.0018i 0.693192i
\(409\) 13.7449 13.2022i 0.679643 0.652806i −0.271184 0.962528i \(-0.587415\pi\)
0.950827 + 0.309721i \(0.100236\pi\)
\(410\) −4.73900 3.86927i −0.234043 0.191090i
\(411\) 3.79263 7.22626i 0.187077 0.356445i
\(412\) −0.565335 + 0.0918759i −0.0278521 + 0.00452640i
\(413\) 5.85318 3.70132i 0.288016 0.182130i
\(414\) −6.55980 + 3.11266i −0.322396 + 0.152979i
\(415\) 1.27777 1.85117i 0.0627231 0.0908701i
\(416\) −1.53805 + 0.205688i −0.0754093 + 0.0100847i
\(417\) −5.17742 7.50079i −0.253539 0.367315i
\(418\) 15.2584 + 8.80944i 0.746313 + 0.430884i
\(419\) 13.0018 + 27.4008i 0.635181 + 1.33862i 0.924426 + 0.381361i \(0.124544\pi\)
−0.289245 + 0.957255i \(0.593404\pi\)
\(420\) 0.0830923 + 0.0277403i 0.00405449 + 0.00135359i
\(421\) 2.09887 8.51546i 0.102293 0.415018i −0.897362 0.441295i \(-0.854519\pi\)
0.999655 + 0.0262773i \(0.00836528\pi\)
\(422\) 1.55150 0.0625234i 0.0755259 0.00304359i
\(423\) 12.8280 0.516951i 0.623719 0.0251350i
\(424\) 0.937453 3.80340i 0.0455268 0.184709i
\(425\) 16.8660 + 5.63070i 0.818122 + 0.273129i
\(426\) 6.62839 + 13.9690i 0.321147 + 0.676802i
\(427\) 13.0073 + 7.50980i 0.629470 + 0.363424i
\(428\) 0.532429 + 0.771357i 0.0257359 + 0.0372849i
\(429\) −10.7220 + 7.59427i −0.517664 + 0.366655i
\(430\) 3.88084 5.62237i 0.187151 0.271135i
\(431\) 10.3651 4.91829i 0.499268 0.236906i −0.162369 0.986730i \(-0.551913\pi\)
0.661637 + 0.749824i \(0.269862\pi\)
\(432\) −3.24719 + 2.05340i −0.156230 + 0.0987941i
\(433\) −6.89502 + 1.12055i −0.331354 + 0.0538502i −0.323812 0.946121i \(-0.604965\pi\)
−0.00754140 + 0.999972i \(0.502401\pi\)
\(434\) 4.71946 8.99218i 0.226541 0.431639i
\(435\) −1.09922 0.897488i −0.0527037 0.0430312i
\(436\) 0.954299 0.916616i 0.0457026 0.0438980i
\(437\) 18.2471i 0.872879i
\(438\) 7.52502 + 7.83437i 0.359559 + 0.374341i
\(439\) 26.0478 8.69604i 1.24319 0.415039i 0.382402 0.923996i \(-0.375097\pi\)
0.860792 + 0.508957i \(0.169969\pi\)
\(440\) −0.978587 12.1220i −0.0466523 0.577893i
\(441\) −5.83922 + 1.43924i −0.278058 + 0.0685352i
\(442\) 18.6481 15.6059i 0.886998 0.742299i
\(443\) 23.3824 + 5.76325i 1.11093 + 0.273820i 0.751751 0.659447i \(-0.229210\pi\)
0.359182 + 0.933268i \(0.383056\pi\)
\(444\) −0.0281797 + 0.173397i −0.00133735 + 0.00822905i
\(445\) −0.677337 0.829587i −0.0321089 0.0393262i
\(446\) −3.05171 + 2.29321i −0.144503 + 0.108587i
\(447\) −11.1649 + 12.6026i −0.528084 + 0.596083i
\(448\) −1.31903 8.11632i −0.0623183 0.383460i
\(449\) −2.54590 + 31.5366i −0.120149 + 1.48831i 0.603071 + 0.797688i \(0.293944\pi\)
−0.723219 + 0.690619i \(0.757338\pi\)
\(450\) −1.21388 4.92491i −0.0572229 0.232162i
\(451\) −3.85873 13.3219i −0.181701 0.627304i
\(452\) 0.226511 + 1.10953i 0.0106542 + 0.0521877i
\(453\) −13.5227 + 11.0409i −0.635350 + 0.518747i
\(454\) 2.51789 20.7367i 0.118170 0.973220i
\(455\) 1.51822 + 3.86147i 0.0711750 + 0.181028i
\(456\) −1.20992 9.96462i −0.0566599 0.466636i
\(457\) −7.34222 7.05230i −0.343455 0.329893i 0.501073 0.865405i \(-0.332939\pi\)
−0.844527 + 0.535513i \(0.820118\pi\)
\(458\) 5.58298 5.81249i 0.260875 0.271600i
\(459\) −2.08443 + 4.39285i −0.0972930 + 0.205041i
\(460\) −0.380059 + 0.262336i −0.0177204 + 0.0122315i
\(461\) −7.57015 + 11.9712i −0.352577 + 0.557556i −0.974179 0.225778i \(-0.927508\pi\)
0.621602 + 0.783333i \(0.286482\pi\)
\(462\) −3.01518 4.01248i −0.140279 0.186677i
\(463\) 4.54273 + 8.65546i 0.211119 + 0.402253i 0.967871 0.251449i \(-0.0809071\pi\)
−0.756752 + 0.653702i \(0.773215\pi\)
\(464\) −0.941010 + 4.60937i −0.0436853 + 0.213985i
\(465\) −8.51736 + 0.687592i −0.394983 + 0.0318863i
\(466\) −5.14510 1.49030i −0.238342 0.0690367i
\(467\) −6.47318 3.39739i −0.299543 0.157212i 0.308255 0.951304i \(-0.400255\pi\)
−0.607799 + 0.794091i \(0.707947\pi\)
\(468\) 0.261372 + 0.0837539i 0.0120819 + 0.00387153i
\(469\) −1.92836 + 1.01208i −0.0890433 + 0.0467335i
\(470\) −20.2201 + 4.12796i −0.932683 + 0.190409i
\(471\) 13.7511 + 10.3333i 0.633616 + 0.476132i
\(472\) 0.808673 + 20.0670i 0.0372222 + 0.923659i
\(473\) 14.4811 5.49196i 0.665842 0.252521i
\(474\) 9.60696 2.78269i 0.441262 0.127813i
\(475\) 12.4895 + 2.54976i 0.573060 + 0.116991i
\(476\) −0.243721 0.275104i −0.0111709 0.0126094i
\(477\) −0.860320 + 1.05370i −0.0393913 + 0.0482456i
\(478\) −0.820883 + 20.3700i −0.0375463 + 0.931702i
\(479\) 0.691865 + 2.07239i 0.0316121 + 0.0946899i 0.963160 0.268928i \(-0.0866695\pi\)
−0.931548 + 0.363618i \(0.881541\pi\)
\(480\) −0.373333 + 0.330744i −0.0170403 + 0.0150964i
\(481\) −7.15503 + 4.24734i −0.326241 + 0.193662i
\(482\) 16.3009 + 14.4414i 0.742488 + 0.657787i
\(483\) −2.03747 + 4.78211i −0.0927079 + 0.217593i
\(484\) 0.0867647 0.150281i 0.00394385 0.00683095i
\(485\) 4.47047 + 7.74309i 0.202994 + 0.351596i
\(486\) 1.37693 0.167189i 0.0624586 0.00758385i
\(487\) 1.99912 + 0.948595i 0.0905888 + 0.0429849i 0.473448 0.880822i \(-0.343009\pi\)
−0.382859 + 0.923807i \(0.625061\pi\)
\(488\) −37.7213 + 21.7784i −1.70756 + 0.985862i
\(489\) 14.1077 + 9.73786i 0.637973 + 0.440361i
\(490\) 8.89362 3.78922i 0.401773 0.171179i
\(491\) −22.9340 3.72713i −1.03500 0.168203i −0.380901 0.924616i \(-0.624386\pi\)
−0.654095 + 0.756413i \(0.726950\pi\)
\(492\) −0.174048 + 0.231616i −0.00784669 + 0.0104420i
\(493\) 2.11126 + 5.56695i 0.0950865 + 0.250723i
\(494\) 11.9227 12.7177i 0.536427 0.572194i
\(495\) −1.49757 + 3.94877i −0.0673108 + 0.177484i
\(496\) 15.1404 + 23.9427i 0.679826 + 1.07506i
\(497\) 10.1835 + 4.33877i 0.456791 + 0.194620i
\(498\) 2.27534 + 1.43884i 0.101961 + 0.0644760i
\(499\) 20.5180 + 2.49134i 0.918514 + 0.111528i 0.566119 0.824324i \(-0.308444\pi\)
0.352395 + 0.935851i \(0.385367\pi\)
\(500\) −0.299348 0.702594i −0.0133872 0.0314210i
\(501\) 0.930821 2.78815i 0.0415860 0.124565i
\(502\) −12.2233 4.63568i −0.545552 0.206901i
\(503\) −26.0363 2.10187i −1.16090 0.0937176i −0.515035 0.857169i \(-0.672221\pi\)
−0.645865 + 0.763451i \(0.723503\pi\)
\(504\) −0.795554 + 2.74657i −0.0354368 + 0.122342i
\(505\) −11.1072 0.447603i −0.494262 0.0199181i
\(506\) 26.4593 1.17626
\(507\) 4.90297 + 12.0400i 0.217748 + 0.534714i
\(508\) −0.216776 −0.00961786
\(509\) −31.8606 1.28394i −1.41220 0.0569095i −0.677608 0.735423i \(-0.736983\pi\)
−0.734588 + 0.678514i \(0.762624\pi\)
\(510\) 2.17453 7.50734i 0.0962897 0.332431i
\(511\) 7.75160 + 0.625774i 0.342911 + 0.0276826i
\(512\) 22.2352 + 8.43271i 0.982668 + 0.372677i
\(513\) −1.10383 + 3.30637i −0.0487352 + 0.145980i
\(514\) 1.62872 + 3.82274i 0.0718396 + 0.168614i
\(515\) −8.65617 1.05105i −0.381436 0.0463147i
\(516\) −0.273437 0.172911i −0.0120374 0.00761199i
\(517\) −43.0410 18.3380i −1.89294 0.806506i
\(518\) −1.69880 2.68643i −0.0746408 0.118035i
\(519\) 7.44907 19.6416i 0.326978 0.862170i
\(520\) −11.8994 1.78617i −0.521823 0.0783288i
\(521\) −4.48910 11.8368i −0.196671 0.518579i 0.800010 0.599987i \(-0.204827\pi\)
−0.996681 + 0.0814082i \(0.974058\pi\)
\(522\) 1.02031 1.35779i 0.0446578 0.0594287i
\(523\) −30.2677 4.91897i −1.32351 0.215092i −0.542736 0.839903i \(-0.682612\pi\)
−0.780776 + 0.624811i \(0.785176\pi\)
\(524\) −1.27399 + 0.542798i −0.0556546 + 0.0237122i
\(525\) −2.98849 2.06280i −0.130428 0.0900281i
\(526\) −1.24026 + 0.716067i −0.0540781 + 0.0312220i
\(527\) 32.3901 + 15.3693i 1.41093 + 0.669497i
\(528\) 13.8985 1.68758i 0.604854 0.0734426i
\(529\) −2.20140 3.81293i −0.0957129 0.165780i
\(530\) 1.09332 1.89368i 0.0474906 0.0822561i
\(531\) 2.73365 6.41611i 0.118630 0.278435i
\(532\) −0.197220 0.174722i −0.00855059 0.00757516i
\(533\) −13.7039 + 0.718608i −0.593581 + 0.0311264i
\(534\) 0.959442 0.849991i 0.0415191 0.0367827i
\(535\) 4.51861 + 13.5349i 0.195357 + 0.585164i
\(536\) 0.254306 6.31053i 0.0109843 0.272574i
\(537\) 1.44713 1.77241i 0.0624483 0.0764853i
\(538\) 16.6299 + 18.7713i 0.716968 + 0.809289i
\(539\) 21.4727 + 4.38369i 0.924897 + 0.188819i
\(540\) 0.0847361 0.0245441i 0.00364646 0.00105621i
\(541\) 10.5084 3.98531i 0.451791 0.171342i −0.118205 0.992989i \(-0.537714\pi\)
0.569996 + 0.821647i \(0.306945\pi\)
\(542\) −1.56300 38.7855i −0.0671367 1.66598i
\(543\) −12.7405 9.57383i −0.546745 0.410853i
\(544\) 2.05033 0.418578i 0.0879073 0.0179464i
\(545\) 17.8374 9.36178i 0.764069 0.401014i
\(546\) −4.54468 + 2.00169i −0.194494 + 0.0856645i
\(547\) 25.4299 + 13.3467i 1.08731 + 0.570662i 0.910469 0.413578i \(-0.135721\pi\)
0.176837 + 0.984240i \(0.443413\pi\)
\(548\) 0.596712 + 0.172840i 0.0254903 + 0.00738335i
\(549\) 15.0766 1.21711i 0.643454 0.0519450i
\(550\) −3.69729 + 18.1105i −0.157653 + 0.772235i
\(551\) 1.98357 + 3.77937i 0.0845029 + 0.161007i
\(552\) −9.05581 12.0511i −0.385441 0.512929i
\(553\) 3.82697 6.05187i 0.162739 0.257352i
\(554\) 14.7695 10.1946i 0.627494 0.433128i
\(555\) −1.14653 + 2.41626i −0.0486674 + 0.102564i
\(556\) 0.480606 0.500364i 0.0203822 0.0212201i
\(557\) 6.88133 + 6.60960i 0.291571 + 0.280058i 0.824209 0.566285i \(-0.191620\pi\)
−0.532638 + 0.846343i \(0.678799\pi\)
\(558\) −1.23275 10.1526i −0.0521863 0.429793i
\(559\) −2.03119 15.1884i −0.0859101 0.642401i
\(560\) 0.532924 4.38903i 0.0225202 0.185470i
\(561\) 13.7251 11.2062i 0.579473 0.473125i
\(562\) −0.281940 1.38103i −0.0118929 0.0582554i
\(563\) 3.05876 + 10.5601i 0.128911 + 0.445053i 0.998841 0.0481215i \(-0.0153235\pi\)
−0.869930 + 0.493175i \(0.835836\pi\)
\(564\) 0.233881 + 0.948894i 0.00984818 + 0.0399556i
\(565\) −1.38725 + 17.1842i −0.0583622 + 0.722946i
\(566\) −0.0656881 0.404195i −0.00276108 0.0169896i
\(567\) 0.658472 0.743262i 0.0276532 0.0312141i
\(568\) −25.6627 + 19.2843i −1.07678 + 0.809150i
\(569\) −12.2611 15.0172i −0.514013 0.629552i 0.450757 0.892647i \(-0.351154\pi\)
−0.964770 + 0.263095i \(0.915257\pi\)
\(570\) 0.898816 5.53063i 0.0376472 0.231653i
\(571\) −30.3983 7.49252i −1.27213 0.313552i −0.455252 0.890362i \(-0.650451\pi\)
−0.816878 + 0.576810i \(0.804297\pi\)
\(572\) −0.729671 0.684059i −0.0305091 0.0286020i
\(573\) −14.8140 + 3.65133i −0.618865 + 0.152537i
\(574\) −0.421809 5.22504i −0.0176060 0.218089i
\(575\) 18.1580 6.06203i 0.757240 0.252804i
\(576\) −5.73636 5.97218i −0.239015 0.248841i
\(577\) 6.67603i 0.277927i −0.990298 0.138963i \(-0.955623\pi\)
0.990298 0.138963i \(-0.0443771\pi\)
\(578\) −6.64423 + 6.38187i −0.276363 + 0.265451i
\(579\) −4.09091 3.34012i −0.170012 0.138811i
\(580\) 0.0502011 0.0956501i 0.00208449 0.00397166i
\(581\) 1.90234 0.309160i 0.0789222 0.0128261i
\(582\) −9.04434 + 5.71930i −0.374900 + 0.237072i
\(583\) 4.47851 2.12508i 0.185481 0.0880119i
\(584\) −12.8114 + 18.5606i −0.530141 + 0.768042i
\(585\) 3.46735 + 2.33183i 0.143357 + 0.0964095i
\(586\) 7.12305 + 10.3195i 0.294250 + 0.426295i
\(587\) −8.45795 4.88320i −0.349097 0.201551i 0.315191 0.949028i \(-0.397932\pi\)
−0.664287 + 0.747477i \(0.731265\pi\)
\(588\) −0.196255 0.413599i −0.00809342 0.0170565i
\(589\) 24.3791 + 8.13892i 1.00452 + 0.335359i
\(590\) −2.68289 + 10.8849i −0.110453 + 0.448125i
\(591\) 16.1598 0.651219i 0.664727 0.0267876i
\(592\) 8.85910 0.357009i 0.364107 0.0146730i
\(593\) −3.41870 + 13.8702i −0.140389 + 0.569581i 0.858042 + 0.513580i \(0.171681\pi\)
−0.998431 + 0.0560010i \(0.982165\pi\)
\(594\) −4.79441 1.60061i −0.196717 0.0656738i
\(595\) −2.39873 5.05522i −0.0983384 0.207244i
\(596\) −1.10996 0.640834i −0.0454656 0.0262496i
\(597\) −2.11381 3.06238i −0.0865125 0.125335i
\(598\) 5.95675 25.4926i 0.243590 1.04247i
\(599\) −20.4864 + 29.6797i −0.837052 + 1.21268i 0.137941 + 0.990441i \(0.455952\pi\)
−0.974992 + 0.222238i \(0.928664\pi\)
\(600\) 9.51398 4.51444i 0.388407 0.184301i
\(601\) 8.05555 5.09402i 0.328593 0.207789i −0.359974 0.932962i \(-0.617215\pi\)
0.688567 + 0.725173i \(0.258240\pi\)
\(602\) 5.77779 0.938982i 0.235485 0.0382700i
\(603\) −1.01923 + 1.94198i −0.0415061 + 0.0790834i
\(604\) −1.02938 0.840462i −0.0418848 0.0341979i
\(605\) 1.90532 1.83008i 0.0774621 0.0744034i
\(606\) 13.3044i 0.540453i
\(607\) −19.4479 20.2474i −0.789367 0.821818i 0.198011 0.980200i \(-0.436552\pi\)
−0.987378 + 0.158382i \(0.949372\pi\)
\(608\) 1.42298 0.475062i 0.0577096 0.0192663i
\(609\) −0.0978397 1.21196i −0.00396466 0.0491112i
\(610\) −23.6073 + 5.81867i −0.955831 + 0.235591i
\(611\) −27.3578 + 37.3400i −1.10678 + 1.51061i
\(612\) −0.359375 0.0885781i −0.0145269 0.00358056i
\(613\) −4.70549 + 28.9540i −0.190053 + 1.16944i 0.700190 + 0.713956i \(0.253099\pi\)
−0.890243 + 0.455486i \(0.849466\pi\)
\(614\) −27.6900 33.9141i −1.11748 1.36866i
\(615\) −3.52619 + 2.64976i −0.142190 + 0.106848i
\(616\) 6.90990 7.79967i 0.278408 0.314258i
\(617\) 3.49994 + 21.5360i 0.140902 + 0.867006i 0.957211 + 0.289390i \(0.0934526\pi\)
−0.816309 + 0.577616i \(0.803983\pi\)
\(618\) 0.839765 10.4024i 0.0337803 0.418444i
\(619\) −10.0338 40.7085i −0.403291 1.63621i −0.724550 0.689223i \(-0.757952\pi\)
0.321259 0.946991i \(-0.395894\pi\)
\(620\) −0.180973 0.624790i −0.00726804 0.0250922i
\(621\) 1.04709 + 5.12898i 0.0420182 + 0.205819i
\(622\) −31.4248 + 25.6576i −1.26002 + 1.02878i
\(623\) 0.110610 0.910956i 0.00443150 0.0364967i
\(624\) 1.50302 13.7706i 0.0601691 0.551265i
\(625\) 0.802503 + 6.60921i 0.0321001 + 0.264368i
\(626\) −31.7120 30.4598i −1.26747 1.21742i
\(627\) 8.79934 9.16109i 0.351412 0.365859i
\(628\) −0.561317 + 1.18295i −0.0223990 + 0.0472049i
\(629\) 9.23469 6.37425i 0.368211 0.254158i
\(630\) −0.853104 + 1.34908i −0.0339885 + 0.0537485i
\(631\) 7.22876 + 9.61973i 0.287772 + 0.382955i 0.920059 0.391779i \(-0.128140\pi\)
−0.632287 + 0.774734i \(0.717884\pi\)
\(632\) 9.65001 + 18.3866i 0.383857 + 0.731378i
\(633\) 0.223925 1.09686i 0.00890020 0.0435961i
\(634\) 28.1272 2.27066i 1.11707 0.0901795i
\(635\) −3.16995 0.918188i −0.125796 0.0364372i
\(636\) −0.0916889 0.0481221i −0.00363570 0.00190816i
\(637\) 9.05766 19.7013i 0.358878 0.780594i
\(638\) −5.48030 + 2.87628i −0.216967 + 0.113873i
\(639\) 10.9221 2.22977i 0.432072 0.0882082i
\(640\) 9.84400 + 7.39729i 0.389118 + 0.292403i
\(641\) 0.486395 + 12.0698i 0.0192114 + 0.476727i 0.979947 + 0.199260i \(0.0638538\pi\)
−0.960735 + 0.277467i \(0.910505\pi\)
\(642\) −15.9683 + 6.05598i −0.630219 + 0.239010i
\(643\) 25.5505 7.40079i 1.00761 0.291859i 0.266932 0.963715i \(-0.413990\pi\)
0.740681 + 0.671857i \(0.234503\pi\)
\(644\) −0.387693 0.0791480i −0.0152772 0.00311887i
\(645\) −3.26613 3.68670i −0.128604 0.145164i
\(646\) −14.8679 + 18.2099i −0.584971 + 0.716460i
\(647\) 1.55132 38.4956i 0.0609886 1.51342i −0.622017 0.783004i \(-0.713686\pi\)
0.683005 0.730413i \(-0.260672\pi\)
\(648\) 0.911897 + 2.73147i 0.0358227 + 0.107302i
\(649\) −19.0232 + 16.8531i −0.746727 + 0.661542i
\(650\) 16.6165 + 7.63940i 0.651751 + 0.299642i
\(651\) −5.48034 4.85516i −0.214791 0.190289i
\(652\) −0.511479 + 1.20049i −0.0200311 + 0.0470146i
\(653\) −4.26209 + 7.38216i −0.166788 + 0.288886i −0.937289 0.348553i \(-0.886673\pi\)
0.770500 + 0.637439i \(0.220006\pi\)
\(654\) 12.0552 + 20.8801i 0.471394 + 0.816478i
\(655\) −20.9290 + 2.54124i −0.817762 + 0.0992943i
\(656\) 13.2107 + 6.26855i 0.515790 + 0.244746i
\(657\) 6.78249 3.91587i 0.264610 0.152773i
\(658\) −14.5524 10.0448i −0.567312 0.391587i
\(659\) 12.3266 5.25186i 0.480175 0.204583i −0.138296 0.990391i \(-0.544163\pi\)
0.618471 + 0.785808i \(0.287752\pi\)
\(660\) −0.317318 0.0515692i −0.0123516 0.00200733i
\(661\) −25.9995 + 34.5991i −1.01126 + 1.34575i −0.0739506 + 0.997262i \(0.523561\pi\)
−0.937314 + 0.348487i \(0.886696\pi\)
\(662\) 5.88512 + 15.5178i 0.228732 + 0.603116i
\(663\) −7.70684 15.7464i −0.299309 0.611541i
\(664\) −1.98194 + 5.22595i −0.0769142 + 0.202806i
\(665\) −2.14393 3.39035i −0.0831380 0.131472i
\(666\) −2.94480 1.25466i −0.114109 0.0486172i
\(667\) 5.41761 + 3.42589i 0.209771 + 0.132651i
\(668\) 0.222125 + 0.0269708i 0.00859427 + 0.00104353i
\(669\) 1.07874 + 2.53189i 0.0417065 + 0.0978887i
\(670\) 1.11640 3.34402i 0.0431303 0.129191i
\(671\) −51.5378 19.5457i −1.98960 0.754554i
\(672\) −0.425973 0.0343881i −0.0164323 0.00132655i
\(673\) 10.4115 35.9447i 0.401334 1.38557i −0.464650 0.885494i \(-0.653820\pi\)
0.865984 0.500071i \(-0.166693\pi\)
\(674\) −43.3808 1.74819i −1.67097 0.0673376i
\(675\) −3.65693 −0.140755
\(676\) −0.823336 + 0.549009i −0.0316668 + 0.0211157i
\(677\) −45.0037 −1.72963 −0.864817 0.502088i \(-0.832565\pi\)
−0.864817 + 0.502088i \(0.832565\pi\)
\(678\) −20.6171 0.830840i −0.791794 0.0319082i
\(679\) −2.13139 + 7.35840i −0.0817951 + 0.282389i
\(680\) 16.1742 + 1.30572i 0.620253 + 0.0500720i
\(681\) −14.0814 5.34039i −0.539602 0.204644i
\(682\) −11.8019 + 35.3509i −0.451917 + 1.35366i
\(683\) −12.0418 28.2632i −0.460768 1.08146i −0.974677 0.223618i \(-0.928213\pi\)
0.513909 0.857845i \(-0.328197\pi\)
\(684\) −0.263410 0.0319837i −0.0100717 0.00122293i
\(685\) 7.99375 + 5.05494i 0.305426 + 0.193139i
\(686\) 16.4900 + 7.02573i 0.629591 + 0.268244i
\(687\) −3.10554 4.91101i −0.118484 0.187367i
\(688\) −5.79012 + 15.2673i −0.220746 + 0.582060i
\(689\) −1.03920 4.79330i −0.0395902 0.182610i
\(690\) −2.98388 7.86783i −0.113594 0.299523i
\(691\) −8.87967 + 11.8167i −0.337798 + 0.449528i −0.936095 0.351746i \(-0.885588\pi\)
0.598297 + 0.801274i \(0.295844\pi\)
\(692\) 1.57837 + 0.256511i 0.0600007 + 0.00975107i
\(693\) −3.32901 + 1.41836i −0.126458 + 0.0538789i
\(694\) 16.0484 + 11.0774i 0.609190 + 0.420494i
\(695\) 9.14736 5.28123i 0.346979 0.200329i
\(696\) 3.18568 + 1.51162i 0.120753 + 0.0572979i
\(697\) 18.3710 2.23064i 0.695850 0.0844915i
\(698\) −8.30177 14.3791i −0.314227 0.544256i
\(699\) −1.93094 + 3.34449i −0.0730350 + 0.126500i
\(700\) 0.108348 0.254303i 0.00409518 0.00961174i
\(701\) −1.72974 1.53241i −0.0653312 0.0578784i 0.629825 0.776737i \(-0.283126\pi\)
−0.695157 + 0.718858i \(0.744665\pi\)
\(702\) −2.62149 + 4.25890i −0.0989417 + 0.160742i
\(703\) 6.02121 5.33433i 0.227094 0.201188i
\(704\) 9.55593 + 28.6235i 0.360153 + 1.07879i
\(705\) −0.599100 + 14.8665i −0.0225634 + 0.559905i
\(706\) 27.2946 33.4299i 1.02725 1.25815i
\(707\) −6.31602 7.12931i −0.237538 0.268125i
\(708\) 0.520163 + 0.106192i 0.0195489 + 0.00399094i
\(709\) 13.2668 3.84278i 0.498245 0.144318i −0.0195743 0.999808i \(-0.506231\pi\)
0.517819 + 0.855490i \(0.326744\pi\)
\(710\) −16.7545 + 6.35414i −0.628785 + 0.238467i
\(711\) −0.290355 7.20509i −0.0108892 0.270212i
\(712\) 2.12746 + 1.59868i 0.0797299 + 0.0599131i
\(713\) 37.8178 7.72056i 1.41629 0.289137i
\(714\) 5.92982 3.11221i 0.221918 0.116472i
\(715\) −7.77267 13.0938i −0.290682 0.489679i
\(716\) 0.154229 + 0.0809454i 0.00576379 + 0.00302507i
\(717\) 14.1176 + 4.08921i 0.527231 + 0.152714i
\(718\) 6.84421 0.552522i 0.255424 0.0206199i
\(719\) 1.02836 5.03724i 0.0383513 0.187857i −0.956102 0.293033i \(-0.905335\pi\)
0.994454 + 0.105176i \(0.0335405\pi\)
\(720\) −2.06917 3.94248i −0.0771136 0.146928i
\(721\) −4.48834 5.97290i −0.167155 0.222442i
\(722\) 5.07770 8.02975i 0.188973 0.298836i
\(723\) 12.9216 8.91916i 0.480561 0.331707i
\(724\) 0.520064 1.09601i 0.0193280 0.0407329i
\(725\) −3.10193 + 3.22945i −0.115203 + 0.119939i
\(726\) 2.28037 + 2.19033i 0.0846326 + 0.0812907i
\(727\) 2.84444 + 23.4261i 0.105494 + 0.868825i 0.945360 + 0.326030i \(0.105711\pi\)
−0.839865 + 0.542795i \(0.817366\pi\)
\(728\) −5.95908 8.41337i −0.220858 0.311820i
\(729\) 0.120537 0.992709i 0.00446432 0.0367670i
\(730\) −9.75163 + 7.96196i −0.360924 + 0.294685i
\(731\) 4.13350 + 20.2472i 0.152883 + 0.748870i
\(732\) 0.320340 + 1.10594i 0.0118401 + 0.0408768i
\(733\) 4.18993 + 16.9992i 0.154758 + 0.627880i 0.996166 + 0.0874791i \(0.0278811\pi\)
−0.841408 + 0.540400i \(0.818273\pi\)
\(734\) −0.328267 + 4.06631i −0.0121165 + 0.150090i
\(735\) −1.11801 6.87940i −0.0412385 0.253751i
\(736\) 1.49396 1.68634i 0.0550683 0.0621592i
\(737\) 6.38935 4.80129i 0.235355 0.176858i
\(738\) −3.33872 4.08919i −0.122900 0.150525i
\(739\) 5.25258 32.3204i 0.193219 1.18893i −0.691351 0.722519i \(-0.742984\pi\)
0.884570 0.466407i \(-0.154452\pi\)
\(740\) −0.197672 0.0487217i −0.00726656 0.00179105i
\(741\) −6.84539 10.5403i −0.251472 0.387206i
\(742\) 1.81912 0.448374i 0.0667822 0.0164603i
\(743\) 1.42633 + 17.6682i 0.0523269 + 0.648185i 0.968760 + 0.247998i \(0.0797727\pi\)
−0.916434 + 0.400187i \(0.868945\pi\)
\(744\) 20.1401 6.72375i 0.738372 0.246505i
\(745\) −13.5168 14.0724i −0.495216 0.515575i
\(746\) 32.8085i 1.20121i
\(747\) 1.39978 1.34451i 0.0512155 0.0491931i
\(748\) 1.04479 + 0.853043i 0.0382012 + 0.0311903i
\(749\) −5.68184 + 10.8258i −0.207610 + 0.395568i
\(750\) 13.7354 2.23222i 0.501546 0.0815092i
\(751\) 26.9642 17.0511i 0.983938 0.622205i 0.0573782 0.998353i \(-0.481726\pi\)
0.926560 + 0.376148i \(0.122752\pi\)
\(752\) 44.5624 21.1451i 1.62502 0.771083i
\(753\) −5.35400 + 7.75660i −0.195110 + 0.282666i
\(754\) 1.53742 + 5.92760i 0.0559895 + 0.215870i
\(755\) −11.4929 16.6503i −0.418270 0.605968i
\(756\) 0.0654617 + 0.0377943i 0.00238082 + 0.00137457i
\(757\) −3.01605 6.35619i −0.109620 0.231019i 0.841226 0.540684i \(-0.181835\pi\)
−0.950846 + 0.309665i \(0.899783\pi\)
\(758\) −32.5833 10.8779i −1.18348 0.395103i
\(759\) 4.56521 18.5218i 0.165707 0.672299i
\(760\) 11.6235 0.468410i 0.421628 0.0169910i
\(761\) 44.8810 1.80864i 1.62694 0.0655633i 0.790086 0.612996i \(-0.210036\pi\)
0.836850 + 0.547433i \(0.184395\pi\)
\(762\) 0.945273 3.83512i 0.0342436 0.138932i
\(763\) 16.3724 + 5.46590i 0.592720 + 0.197879i
\(764\) −0.497897 1.04929i −0.0180133 0.0379622i
\(765\) −4.88003 2.81749i −0.176438 0.101866i
\(766\) −23.6640 34.2832i −0.855014 1.23870i
\(767\) 11.9547 + 22.1223i 0.431658 + 0.798790i
\(768\) 1.03630 1.50134i 0.0373942 0.0541748i
\(769\) −18.1007 + 8.58890i −0.652729 + 0.309724i −0.726108 0.687580i \(-0.758673\pi\)
0.0733795 + 0.997304i \(0.476622\pi\)
\(770\) 4.91620 3.10881i 0.177167 0.112034i
\(771\) 2.95697 0.480555i 0.106493 0.0173068i
\(772\) 0.186830 0.355975i 0.00672416 0.0128118i