Properties

Label 770.2.bv.a.537.4
Level $770$
Weight $2$
Character 770.537
Analytic conductor $6.148$
Analytic rank $0$
Dimension $768$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.bv (of order \(60\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(768\)
Relative dimension: \(48\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 537.4
Character \(\chi\) \(=\) 770.537
Dual form 770.2.bv.a.423.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0523360 + 0.998630i) q^{2} +(-0.879416 - 2.29096i) q^{3} +(-0.994522 - 0.104528i) q^{4} +(0.496330 - 2.18029i) q^{5} +(2.33384 - 0.758311i) q^{6} +(-2.23996 - 1.40805i) q^{7} +(0.156434 - 0.987688i) q^{8} +(-2.24567 + 2.02201i) q^{9} +O(q^{10})\) \(q+(-0.0523360 + 0.998630i) q^{2} +(-0.879416 - 2.29096i) q^{3} +(-0.994522 - 0.104528i) q^{4} +(0.496330 - 2.18029i) q^{5} +(2.33384 - 0.758311i) q^{6} +(-2.23996 - 1.40805i) q^{7} +(0.156434 - 0.987688i) q^{8} +(-2.24567 + 2.02201i) q^{9} +(2.15132 + 0.609757i) q^{10} +(2.96326 - 1.48966i) q^{11} +(0.635128 + 2.37033i) q^{12} +(1.00256 - 0.510828i) q^{13} +(1.52335 - 2.16319i) q^{14} +(-5.43142 + 0.780309i) q^{15} +(0.978148 + 0.207912i) q^{16} +(-0.133382 - 2.54509i) q^{17} +(-1.90171 - 2.34842i) q^{18} +(-0.0883156 - 0.840267i) q^{19} +(-0.721513 + 2.11646i) q^{20} +(-1.25593 + 6.36990i) q^{21} +(1.33254 + 3.03716i) q^{22} +(0.490260 + 1.82967i) q^{23} +(-2.40032 + 0.510204i) q^{24} +(-4.50731 - 2.16429i) q^{25} +(0.457658 + 1.02792i) q^{26} +(0.0477775 + 0.0243438i) q^{27} +(2.08050 + 1.63447i) q^{28} +(-3.35064 + 4.61176i) q^{29} +(-0.494981 - 5.46482i) q^{30} +(-0.824482 - 3.87888i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(-6.01869 - 5.47866i) q^{33} +2.54858 q^{34} +(-4.18171 + 4.18489i) q^{35} +(2.44473 - 1.77620i) q^{36} +(-7.12988 - 2.73690i) q^{37} +(0.843737 - 0.0442184i) q^{38} +(-2.05195 - 1.84758i) q^{39} +(-2.07580 - 0.831292i) q^{40} +(6.45783 + 8.88844i) q^{41} +(-6.29544 - 1.58758i) q^{42} +(-5.01217 + 5.01217i) q^{43} +(-3.10274 + 1.17176i) q^{44} +(3.29398 + 5.89980i) q^{45} +(-1.85283 + 0.393830i) q^{46} +(-2.51766 - 2.03876i) q^{47} +(-0.383882 - 2.42373i) q^{48} +(3.03480 + 6.30793i) q^{49} +(2.39721 - 4.38787i) q^{50} +(-5.71338 + 2.54376i) q^{51} +(-1.05046 + 0.403234i) q^{52} +(-3.73588 + 5.75276i) q^{53} +(-0.0268110 + 0.0464380i) q^{54} +(-1.77714 - 7.20012i) q^{55} +(-1.74112 + 1.99211i) q^{56} +(-1.84735 + 0.941271i) q^{57} +(-4.43009 - 3.58741i) q^{58} +(0.430762 - 4.09842i) q^{59} +(5.48324 - 0.208296i) q^{60} +(-1.94411 + 9.14634i) q^{61} +(3.91672 - 0.620347i) q^{62} +(7.87730 - 1.36720i) q^{63} +(-0.951057 - 0.309017i) q^{64} +(-0.616153 - 2.43940i) q^{65} +(5.78615 - 5.72371i) q^{66} +(2.70911 - 10.1105i) q^{67} +(-0.133382 + 2.54509i) q^{68} +(3.76056 - 2.73221i) q^{69} +(-3.96030 - 4.39500i) q^{70} +(-3.11279 - 9.58018i) q^{71} +(1.64582 + 2.53434i) q^{72} +(8.58622 - 6.95298i) q^{73} +(3.10630 - 6.97687i) q^{74} +(-0.994482 + 12.2294i) q^{75} +0.844895i q^{76} +(-8.73509 - 0.835631i) q^{77} +(1.95244 - 1.95244i) q^{78} +(4.23114 - 3.80973i) q^{79} +(0.938792 - 2.02945i) q^{80} +(-0.933854 + 8.88503i) q^{81} +(-9.21424 + 5.98380i) q^{82} +(6.46332 - 12.6850i) q^{83} +(1.91488 - 6.20372i) q^{84} +(-5.61522 - 0.972392i) q^{85} +(-4.74299 - 5.26762i) q^{86} +(13.5120 + 3.62052i) q^{87} +(-1.00777 - 3.15981i) q^{88} +(0.804950 - 1.39421i) q^{89} +(-6.06411 + 2.98069i) q^{90} +(-2.96495 - 0.267416i) q^{91} +(-0.296321 - 1.87090i) q^{92} +(-8.16129 + 5.30000i) q^{93} +(2.16773 - 2.40751i) q^{94} +(-1.87586 - 0.224496i) q^{95} +(2.44050 - 0.256507i) q^{96} +(5.89844 + 11.5763i) q^{97} +(-6.45812 + 2.70051i) q^{98} +(-3.64239 + 9.33705i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768 q + 24 q^{5} + 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 768 q + 24 q^{5} + 4 q^{7} + 24 q^{10} + 12 q^{11} - 24 q^{15} - 96 q^{16} + 8 q^{22} + 8 q^{23} + 16 q^{25} - 24 q^{26} - 28 q^{28} - 16 q^{30} + 252 q^{33} - 40 q^{35} + 160 q^{36} - 8 q^{37} - 44 q^{42} + 80 q^{43} + 96 q^{45} - 8 q^{46} - 24 q^{47} + 64 q^{50} - 8 q^{51} + 40 q^{53} + 16 q^{56} + 64 q^{57} - 48 q^{58} - 164 q^{63} - 88 q^{65} + 32 q^{67} - 100 q^{70} + 32 q^{71} + 120 q^{73} - 336 q^{75} - 96 q^{77} - 36 q^{80} - 24 q^{81} + 48 q^{82} - 112 q^{85} - 24 q^{87} + 4 q^{88} - 12 q^{91} - 16 q^{92} - 88 q^{93} - 44 q^{95} + 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{3}{5}\right)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0523360 + 0.998630i −0.0370071 + 0.706138i
\(3\) −0.879416 2.29096i −0.507731 1.32268i −0.912803 0.408399i \(-0.866087\pi\)
0.405072 0.914285i \(-0.367246\pi\)
\(4\) −0.994522 0.104528i −0.497261 0.0522642i
\(5\) 0.496330 2.18029i 0.221966 0.975054i
\(6\) 2.33384 0.758311i 0.952787 0.309579i
\(7\) −2.23996 1.40805i −0.846623 0.532192i
\(8\) 0.156434 0.987688i 0.0553079 0.349201i
\(9\) −2.24567 + 2.02201i −0.748558 + 0.674004i
\(10\) 2.15132 + 0.609757i 0.680308 + 0.192822i
\(11\) 2.96326 1.48966i 0.893456 0.449151i
\(12\) 0.635128 + 2.37033i 0.183346 + 0.684255i
\(13\) 1.00256 0.510828i 0.278059 0.141678i −0.309400 0.950932i \(-0.600128\pi\)
0.587459 + 0.809254i \(0.300128\pi\)
\(14\) 1.52335 2.16319i 0.407132 0.578138i
\(15\) −5.43142 + 0.780309i −1.40239 + 0.201475i
\(16\) 0.978148 + 0.207912i 0.244537 + 0.0519779i
\(17\) −0.133382 2.54509i −0.0323500 0.617274i −0.965914 0.258863i \(-0.916652\pi\)
0.933564 0.358411i \(-0.116681\pi\)
\(18\) −1.90171 2.34842i −0.448238 0.553528i
\(19\) −0.0883156 0.840267i −0.0202610 0.192770i 0.979710 0.200422i \(-0.0642312\pi\)
−0.999971 + 0.00765117i \(0.997565\pi\)
\(20\) −0.721513 + 2.11646i −0.161335 + 0.473256i
\(21\) −1.25593 + 6.36990i −0.274065 + 1.39003i
\(22\) 1.33254 + 3.03716i 0.284098 + 0.647525i
\(23\) 0.490260 + 1.82967i 0.102226 + 0.381514i 0.998016 0.0629650i \(-0.0200557\pi\)
−0.895789 + 0.444479i \(0.853389\pi\)
\(24\) −2.40032 + 0.510204i −0.489964 + 0.104145i
\(25\) −4.50731 2.16429i −0.901463 0.432857i
\(26\) 0.457658 + 1.02792i 0.0897541 + 0.201591i
\(27\) 0.0477775 + 0.0243438i 0.00919478 + 0.00468498i
\(28\) 2.08050 + 1.63447i 0.393178 + 0.308887i
\(29\) −3.35064 + 4.61176i −0.622199 + 0.856383i −0.997511 0.0705154i \(-0.977536\pi\)
0.375312 + 0.926899i \(0.377536\pi\)
\(30\) −0.494981 5.46482i −0.0903707 0.997735i
\(31\) −0.824482 3.87888i −0.148081 0.696668i −0.988063 0.154053i \(-0.950767\pi\)
0.839981 0.542615i \(-0.182566\pi\)
\(32\) −0.258819 + 0.965926i −0.0457532 + 0.170753i
\(33\) −6.01869 5.47866i −1.04772 0.953712i
\(34\) 2.54858 0.437078
\(35\) −4.18171 + 4.18489i −0.706838 + 0.707376i
\(36\) 2.44473 1.77620i 0.407455 0.296033i
\(37\) −7.12988 2.73690i −1.17215 0.449944i −0.307119 0.951671i \(-0.599365\pi\)
−0.865026 + 0.501727i \(0.832698\pi\)
\(38\) 0.843737 0.0442184i 0.136872 0.00717317i
\(39\) −2.05195 1.84758i −0.328575 0.295850i
\(40\) −2.07580 0.831292i −0.328213 0.131439i
\(41\) 6.45783 + 8.88844i 1.00854 + 1.38814i 0.919933 + 0.392075i \(0.128243\pi\)
0.0886106 + 0.996066i \(0.471757\pi\)
\(42\) −6.29544 1.58758i −0.971407 0.244969i
\(43\) −5.01217 + 5.01217i −0.764349 + 0.764349i −0.977105 0.212756i \(-0.931756\pi\)
0.212756 + 0.977105i \(0.431756\pi\)
\(44\) −3.10274 + 1.17176i −0.467755 + 0.176649i
\(45\) 3.29398 + 5.89980i 0.491037 + 0.879490i
\(46\) −1.85283 + 0.393830i −0.273184 + 0.0580671i
\(47\) −2.51766 2.03876i −0.367238 0.297384i 0.427883 0.903834i \(-0.359260\pi\)
−0.795121 + 0.606450i \(0.792593\pi\)
\(48\) −0.383882 2.42373i −0.0554086 0.349836i
\(49\) 3.03480 + 6.30793i 0.433543 + 0.901133i
\(50\) 2.39721 4.38787i 0.339017 0.620538i
\(51\) −5.71338 + 2.54376i −0.800034 + 0.356198i
\(52\) −1.05046 + 0.403234i −0.145673 + 0.0559185i
\(53\) −3.73588 + 5.75276i −0.513163 + 0.790202i −0.996354 0.0853131i \(-0.972811\pi\)
0.483191 + 0.875515i \(0.339478\pi\)
\(54\) −0.0268110 + 0.0464380i −0.00364851 + 0.00631941i
\(55\) −1.77714 7.20012i −0.239630 0.970864i
\(56\) −1.74112 + 1.99211i −0.232667 + 0.266207i
\(57\) −1.84735 + 0.941271i −0.244687 + 0.124674i
\(58\) −4.43009 3.58741i −0.581699 0.471050i
\(59\) 0.430762 4.09842i 0.0560804 0.533569i −0.930031 0.367482i \(-0.880220\pi\)
0.986111 0.166087i \(-0.0531134\pi\)
\(60\) 5.48324 0.208296i 0.707883 0.0268909i
\(61\) −1.94411 + 9.14634i −0.248918 + 1.17107i 0.659073 + 0.752079i \(0.270949\pi\)
−0.907991 + 0.418990i \(0.862384\pi\)
\(62\) 3.91672 0.620347i 0.497423 0.0787841i
\(63\) 7.87730 1.36720i 0.992447 0.172251i
\(64\) −0.951057 0.309017i −0.118882 0.0386271i
\(65\) −0.616153 2.43940i −0.0764244 0.302570i
\(66\) 5.78615 5.72371i 0.712225 0.704540i
\(67\) 2.70911 10.1105i 0.330971 1.23520i −0.577201 0.816602i \(-0.695855\pi\)
0.908172 0.418597i \(-0.137478\pi\)
\(68\) −0.133382 + 2.54509i −0.0161750 + 0.308637i
\(69\) 3.76056 2.73221i 0.452718 0.328919i
\(70\) −3.96030 4.39500i −0.473347 0.525303i
\(71\) −3.11279 9.58018i −0.369420 1.13696i −0.947167 0.320742i \(-0.896068\pi\)
0.577746 0.816216i \(-0.303932\pi\)
\(72\) 1.64582 + 2.53434i 0.193962 + 0.298675i
\(73\) 8.58622 6.95298i 1.00494 0.813785i 0.0223842 0.999749i \(-0.492874\pi\)
0.982556 + 0.185965i \(0.0595410\pi\)
\(74\) 3.10630 6.97687i 0.361100 0.811045i
\(75\) −0.994482 + 12.2294i −0.114833 + 1.41213i
\(76\) 0.844895i 0.0969161i
\(77\) −8.73509 0.835631i −0.995455 0.0952290i
\(78\) 1.95244 1.95244i 0.221070 0.221070i
\(79\) 4.23114 3.80973i 0.476040 0.428629i −0.395861 0.918310i \(-0.629554\pi\)
0.871901 + 0.489682i \(0.162887\pi\)
\(80\) 0.938792 2.02945i 0.104960 0.226899i
\(81\) −0.933854 + 8.88503i −0.103762 + 0.987225i
\(82\) −9.21424 + 5.98380i −1.01754 + 0.660800i
\(83\) 6.46332 12.6850i 0.709441 1.39236i −0.201363 0.979517i \(-0.564537\pi\)
0.910804 0.412840i \(-0.135463\pi\)
\(84\) 1.91488 6.20372i 0.208931 0.676882i
\(85\) −5.61522 0.972392i −0.609057 0.105471i
\(86\) −4.74299 5.26762i −0.511450 0.568022i
\(87\) 13.5120 + 3.62052i 1.44863 + 0.388160i
\(88\) −1.00777 3.15981i −0.107428 0.336837i
\(89\) 0.804950 1.39421i 0.0853245 0.147786i −0.820205 0.572070i \(-0.806141\pi\)
0.905529 + 0.424283i \(0.139474\pi\)
\(90\) −6.06411 + 2.98069i −0.639213 + 0.314192i
\(91\) −2.96495 0.267416i −0.310811 0.0280328i
\(92\) −0.296321 1.87090i −0.0308936 0.195055i
\(93\) −8.16129 + 5.30000i −0.846286 + 0.549585i
\(94\) 2.16773 2.40751i 0.223584 0.248316i
\(95\) −1.87586 0.224496i −0.192459 0.0230328i
\(96\) 2.44050 0.256507i 0.249083 0.0261797i
\(97\) 5.89844 + 11.5763i 0.598896 + 1.17540i 0.969151 + 0.246469i \(0.0792704\pi\)
−0.370255 + 0.928930i \(0.620730\pi\)
\(98\) −6.45812 + 2.70051i −0.652368 + 0.272792i
\(99\) −3.64239 + 9.33705i −0.366074 + 0.938408i
\(100\) 4.25639 + 2.62357i 0.425639 + 0.262357i
\(101\) −2.15782 10.1518i −0.214712 1.01014i −0.945018 0.327019i \(-0.893956\pi\)
0.730306 0.683120i \(-0.239377\pi\)
\(102\) −2.24126 5.83868i −0.221918 0.578116i
\(103\) 5.42182 + 2.08124i 0.534227 + 0.205071i 0.610500 0.792016i \(-0.290969\pi\)
−0.0762725 + 0.997087i \(0.524302\pi\)
\(104\) −0.347704 1.07012i −0.0340952 0.104934i
\(105\) 13.2649 + 5.89985i 1.29452 + 0.575767i
\(106\) −5.54935 4.03184i −0.539001 0.391607i
\(107\) −4.86118 + 6.00305i −0.469948 + 0.580337i −0.955916 0.293639i \(-0.905134\pi\)
0.485969 + 0.873976i \(0.338467\pi\)
\(108\) −0.0449711 0.0292046i −0.00432735 0.00281021i
\(109\) 4.75220 2.74369i 0.455178 0.262797i −0.254836 0.966984i \(-0.582022\pi\)
0.710015 + 0.704187i \(0.248688\pi\)
\(110\) 7.28326 1.39788i 0.694432 0.133283i
\(111\) 18.7411i 1.77883i
\(112\) −1.89826 1.84299i −0.179368 0.174146i
\(113\) 2.25540 14.2401i 0.212171 1.33959i −0.619794 0.784764i \(-0.712784\pi\)
0.831965 0.554828i \(-0.187216\pi\)
\(114\) −0.843298 1.89408i −0.0789821 0.177397i
\(115\) 4.23255 0.160785i 0.394687 0.0149933i
\(116\) 3.81435 4.23626i 0.354153 0.393327i
\(117\) −1.21851 + 3.17433i −0.112652 + 0.293467i
\(118\) 4.07026 + 0.644666i 0.374698 + 0.0593463i
\(119\) −3.28484 + 5.88869i −0.301120 + 0.539815i
\(120\) −0.0789602 + 5.48662i −0.00720805 + 0.500858i
\(121\) 6.56180 8.82852i 0.596527 0.802593i
\(122\) −9.03206 2.42013i −0.817724 0.219109i
\(123\) 14.6839 22.6112i 1.32400 2.03879i
\(124\) 0.414512 + 3.94382i 0.0372242 + 0.354165i
\(125\) −6.95588 + 8.75304i −0.622153 + 0.782896i
\(126\) 0.953062 + 7.93806i 0.0849055 + 0.707178i
\(127\) 1.33422 2.61855i 0.118393 0.232358i −0.824203 0.566294i \(-0.808377\pi\)
0.942596 + 0.333935i \(0.108377\pi\)
\(128\) 0.358368 0.933580i 0.0316756 0.0825176i
\(129\) 15.8905 + 7.07489i 1.39908 + 0.622909i
\(130\) 2.46830 0.487640i 0.216485 0.0427689i
\(131\) −2.21218 1.27720i −0.193279 0.111590i 0.400238 0.916411i \(-0.368928\pi\)
−0.593517 + 0.804822i \(0.702261\pi\)
\(132\) 5.41304 + 6.07777i 0.471145 + 0.529002i
\(133\) −0.985314 + 2.00651i −0.0854375 + 0.173987i
\(134\) 9.95490 + 3.23454i 0.859973 + 0.279422i
\(135\) 0.0767900 0.0920861i 0.00660903 0.00792551i
\(136\) −2.53462 0.266399i −0.217342 0.0228435i
\(137\) 3.21376 0.168426i 0.274570 0.0143896i 0.0854459 0.996343i \(-0.472769\pi\)
0.189124 + 0.981953i \(0.439435\pi\)
\(138\) 2.53165 + 3.89840i 0.215508 + 0.331854i
\(139\) 0.880982 + 0.640071i 0.0747239 + 0.0542901i 0.624520 0.781009i \(-0.285295\pi\)
−0.549796 + 0.835299i \(0.685295\pi\)
\(140\) 4.59624 3.72486i 0.388453 0.314808i
\(141\) −2.45664 + 7.56076i −0.206887 + 0.636731i
\(142\) 9.72996 2.60714i 0.816520 0.218786i
\(143\) 2.20987 3.00719i 0.184799 0.251474i
\(144\) −2.61700 + 1.51093i −0.218083 + 0.125910i
\(145\) 8.39195 + 9.59433i 0.696914 + 0.796765i
\(146\) 6.49408 + 8.93834i 0.537454 + 0.739742i
\(147\) 11.7823 12.4999i 0.971791 1.03097i
\(148\) 6.80474 + 3.46719i 0.559346 + 0.285001i
\(149\) 1.34950 6.34892i 0.110556 0.520123i −0.887665 0.460490i \(-0.847674\pi\)
0.998220 0.0596331i \(-0.0189931\pi\)
\(150\) −12.1606 1.63315i −0.992905 0.133347i
\(151\) 12.5937 + 5.60707i 1.02486 + 0.456297i 0.849154 0.528146i \(-0.177113\pi\)
0.175706 + 0.984443i \(0.443779\pi\)
\(152\) −0.843737 0.0442184i −0.0684361 0.00358659i
\(153\) 5.44573 + 5.44573i 0.440261 + 0.440261i
\(154\) 1.29164 8.67938i 0.104084 0.699404i
\(155\) −8.86630 0.127598i −0.712158 0.0102490i
\(156\) 1.84758 + 2.05195i 0.147925 + 0.164287i
\(157\) 17.8850 6.86540i 1.42738 0.547918i 0.482660 0.875808i \(-0.339671\pi\)
0.944716 + 0.327889i \(0.106337\pi\)
\(158\) 3.58307 + 4.42473i 0.285054 + 0.352012i
\(159\) 16.4647 + 3.49968i 1.30574 + 0.277543i
\(160\) 1.97754 + 1.04372i 0.156338 + 0.0825132i
\(161\) 1.47811 4.78870i 0.116491 0.377402i
\(162\) −8.82398 1.39758i −0.693277 0.109804i
\(163\) −17.6599 0.925516i −1.38323 0.0724920i −0.653862 0.756614i \(-0.726852\pi\)
−0.729368 + 0.684121i \(0.760186\pi\)
\(164\) −5.49336 9.51478i −0.428959 0.742979i
\(165\) −14.9323 + 10.4033i −1.16248 + 0.809892i
\(166\) 12.3293 + 7.11834i 0.956941 + 0.552490i
\(167\) −8.80354 17.2779i −0.681239 1.33701i −0.929683 0.368360i \(-0.879919\pi\)
0.248445 0.968646i \(-0.420081\pi\)
\(168\) 6.09500 + 2.23693i 0.470240 + 0.172583i
\(169\) −6.89703 + 9.49295i −0.530541 + 0.730227i
\(170\) 1.26494 5.55664i 0.0970162 0.426175i
\(171\) 1.89736 + 1.70839i 0.145095 + 0.130644i
\(172\) 5.50863 4.46080i 0.420029 0.340133i
\(173\) −4.87288 + 6.01750i −0.370478 + 0.457502i −0.927956 0.372689i \(-0.878436\pi\)
0.557478 + 0.830192i \(0.311769\pi\)
\(174\) −4.32272 + 13.3040i −0.327704 + 1.00857i
\(175\) 7.04876 + 11.1944i 0.532836 + 0.846218i
\(176\) 3.20822 0.841015i 0.241829 0.0633939i
\(177\) −9.76812 + 2.61736i −0.734217 + 0.196733i
\(178\) 1.35018 + 0.876814i 0.101200 + 0.0657200i
\(179\) −5.82741 + 13.0886i −0.435561 + 0.978286i 0.553779 + 0.832664i \(0.313185\pi\)
−0.989340 + 0.145623i \(0.953481\pi\)
\(180\) −2.65923 6.21180i −0.198208 0.463000i
\(181\) −9.52413 + 3.09458i −0.707923 + 0.230018i −0.640779 0.767725i \(-0.721389\pi\)
−0.0671437 + 0.997743i \(0.521389\pi\)
\(182\) 0.422223 2.94689i 0.0312973 0.218438i
\(183\) 22.6636 3.58955i 1.67534 0.265347i
\(184\) 1.88384 0.198000i 0.138879 0.0145967i
\(185\) −9.50602 + 14.1868i −0.698896 + 1.04303i
\(186\) −4.86561 8.42748i −0.356764 0.617933i
\(187\) −4.18657 7.34306i −0.306152 0.536977i
\(188\) 2.29076 + 2.29076i 0.167071 + 0.167071i
\(189\) −0.0727421 0.121802i −0.00529121 0.00885980i
\(190\) 0.322364 1.86154i 0.0233867 0.135050i
\(191\) −4.00173 + 1.78168i −0.289555 + 0.128918i −0.546374 0.837541i \(-0.683992\pi\)
0.256819 + 0.966460i \(0.417326\pi\)
\(192\) 0.128430 + 2.45058i 0.00926861 + 0.176856i
\(193\) 0.425834 + 8.12540i 0.0306522 + 0.584879i 0.970177 + 0.242398i \(0.0779339\pi\)
−0.939525 + 0.342481i \(0.888733\pi\)
\(194\) −11.8692 + 5.28450i −0.852157 + 0.379405i
\(195\) −5.04670 + 3.55683i −0.361402 + 0.254710i
\(196\) −2.35882 6.59060i −0.168487 0.470757i
\(197\) 0.411078 + 0.411078i 0.0292881 + 0.0292881i 0.721599 0.692311i \(-0.243407\pi\)
−0.692311 + 0.721599i \(0.743407\pi\)
\(198\) −9.13362 4.12606i −0.649098 0.293226i
\(199\) −12.8515 22.2595i −0.911019 1.57793i −0.812628 0.582783i \(-0.801964\pi\)
−0.0983907 0.995148i \(-0.531369\pi\)
\(200\) −2.84274 + 4.11325i −0.201012 + 0.290851i
\(201\) −25.5452 + 2.68491i −1.80182 + 0.189379i
\(202\) 10.2508 1.62356i 0.721243 0.114234i
\(203\) 13.9989 5.61228i 0.982529 0.393905i
\(204\) 5.94798 1.93262i 0.416442 0.135310i
\(205\) 22.5846 9.66833i 1.57738 0.675265i
\(206\) −2.36214 + 5.30546i −0.164578 + 0.369649i
\(207\) −4.80059 3.11754i −0.333664 0.216684i
\(208\) 1.08686 0.291222i 0.0753598 0.0201926i
\(209\) −1.51342 2.35837i −0.104685 0.163132i
\(210\) −6.58600 + 12.9379i −0.454477 + 0.892800i
\(211\) 5.89151 18.1322i 0.405588 1.24827i −0.514815 0.857301i \(-0.672139\pi\)
0.920403 0.390971i \(-0.127861\pi\)
\(212\) 4.31674 5.33074i 0.296475 0.366116i
\(213\) −19.2103 + 15.5562i −1.31627 + 1.06590i
\(214\) −5.74041 5.16869i −0.392407 0.353324i
\(215\) 8.44029 + 13.4157i 0.575623 + 0.914942i
\(216\) 0.0315182 0.0433811i 0.00214454 0.00295171i
\(217\) −3.61485 + 9.84943i −0.245392 + 0.668623i
\(218\) 2.49121 + 4.88928i 0.168726 + 0.331144i
\(219\) −23.4798 13.5561i −1.58662 0.916035i
\(220\) 1.01479 + 7.34644i 0.0684171 + 0.495297i
\(221\) −1.43382 2.48346i −0.0964495 0.167055i
\(222\) −18.7154 0.980834i −1.25610 0.0658293i
\(223\) −7.92513 1.25522i −0.530706 0.0840555i −0.114670 0.993404i \(-0.536581\pi\)
−0.416036 + 0.909348i \(0.636581\pi\)
\(224\) 1.93981 1.79920i 0.129609 0.120214i
\(225\) 14.4982 4.25357i 0.966544 0.283571i
\(226\) 14.1025 + 2.99758i 0.938085 + 0.199396i
\(227\) −13.8201 17.0664i −0.917273 1.13274i −0.990785 0.135444i \(-0.956754\pi\)
0.0735115 0.997294i \(-0.476579\pi\)
\(228\) 1.93562 0.743014i 0.128189 0.0492073i
\(229\) 9.51262 + 10.5648i 0.628611 + 0.698144i 0.970364 0.241646i \(-0.0776873\pi\)
−0.341753 + 0.939790i \(0.611021\pi\)
\(230\) −0.0609499 + 4.23516i −0.00401892 + 0.279258i
\(231\) 5.76738 + 20.7466i 0.379466 + 1.36502i
\(232\) 4.03083 + 4.03083i 0.264637 + 0.264637i
\(233\) −4.35957 0.228476i −0.285605 0.0149679i −0.0910045 0.995850i \(-0.529008\pi\)
−0.194601 + 0.980883i \(0.562341\pi\)
\(234\) −3.10621 1.38297i −0.203059 0.0904079i
\(235\) −5.69467 + 4.47732i −0.371480 + 0.292068i
\(236\) −0.856804 + 4.03094i −0.0557732 + 0.262392i
\(237\) −12.4489 6.34301i −0.808641 0.412023i
\(238\) −5.70870 3.58852i −0.370040 0.232609i
\(239\) 9.21783 + 12.6873i 0.596252 + 0.820670i 0.995359 0.0962342i \(-0.0306798\pi\)
−0.399107 + 0.916904i \(0.630680\pi\)
\(240\) −5.47497 0.366000i −0.353408 0.0236252i
\(241\) 14.8923 8.59806i 0.959296 0.553850i 0.0633398 0.997992i \(-0.479825\pi\)
0.895956 + 0.444142i \(0.146491\pi\)
\(242\) 8.47300 + 7.01486i 0.544665 + 0.450932i
\(243\) 21.3318 5.71585i 1.36844 0.366672i
\(244\) 2.88952 8.89302i 0.184982 0.569317i
\(245\) 15.2594 3.48592i 0.974885 0.222707i
\(246\) 21.8118 + 15.8472i 1.39067 + 1.01038i
\(247\) −0.517773 0.797301i −0.0329451 0.0507310i
\(248\) −3.96010 + 0.207540i −0.251467 + 0.0131788i
\(249\) −34.7447 3.65181i −2.20185 0.231424i
\(250\) −8.37700 7.40445i −0.529808 0.468298i
\(251\) −2.12825 0.691509i −0.134334 0.0436477i 0.241079 0.970506i \(-0.422499\pi\)
−0.375412 + 0.926858i \(0.622499\pi\)
\(252\) −7.97706 + 0.536310i −0.502507 + 0.0337844i
\(253\) 4.17837 + 4.69148i 0.262692 + 0.294951i
\(254\) 2.54513 + 1.46943i 0.159696 + 0.0922004i
\(255\) 2.71041 + 13.7194i 0.169732 + 0.859140i
\(256\) 0.913545 + 0.406737i 0.0570966 + 0.0254210i
\(257\) −0.343722 + 0.895425i −0.0214408 + 0.0558551i −0.943883 0.330280i \(-0.892857\pi\)
0.922442 + 0.386135i \(0.126190\pi\)
\(258\) −7.89683 + 15.4984i −0.491635 + 0.964889i
\(259\) 12.1169 + 16.1698i 0.752909 + 1.00474i
\(260\) 0.357791 + 2.49044i 0.0221892 + 0.154451i
\(261\) −1.80060 17.1316i −0.111454 1.06042i
\(262\) 1.39123 2.14230i 0.0859503 0.132352i
\(263\) 17.6975 + 4.74202i 1.09127 + 0.292405i 0.759206 0.650851i \(-0.225588\pi\)
0.332066 + 0.943256i \(0.392254\pi\)
\(264\) −6.35274 + 5.08754i −0.390984 + 0.313116i
\(265\) 10.6884 + 11.0006i 0.656585 + 0.675760i
\(266\) −1.95220 1.08898i −0.119697 0.0667694i
\(267\) −3.90197 0.618011i −0.238797 0.0378217i
\(268\) −3.75111 + 9.77198i −0.229136 + 0.596918i
\(269\) −18.7677 + 20.8437i −1.14429 + 1.27086i −0.186799 + 0.982398i \(0.559811\pi\)
−0.957491 + 0.288464i \(0.906855\pi\)
\(270\) 0.0879410 + 0.0815042i 0.00535192 + 0.00496019i
\(271\) −1.34147 3.01298i −0.0814883 0.183026i 0.868206 0.496204i \(-0.165273\pi\)
−0.949694 + 0.313178i \(0.898606\pi\)
\(272\) 0.398686 2.51720i 0.0241739 0.152628i
\(273\) 1.99479 + 7.02774i 0.120730 + 0.425338i
\(274\) 3.21817i 0.194417i
\(275\) −16.5804 + 0.301043i −0.999835 + 0.0181536i
\(276\) −4.02556 + 2.32416i −0.242310 + 0.139898i
\(277\) −1.15368 0.749211i −0.0693181 0.0450157i 0.509515 0.860462i \(-0.329825\pi\)
−0.578833 + 0.815446i \(0.696492\pi\)
\(278\) −0.685300 + 0.846276i −0.0411016 + 0.0507562i
\(279\) 9.69467 + 7.04359i 0.580405 + 0.421689i
\(280\) 3.47920 + 4.78489i 0.207922 + 0.285952i
\(281\) −7.51558 23.1306i −0.448342 1.37985i −0.878777 0.477233i \(-0.841640\pi\)
0.430435 0.902622i \(-0.358360\pi\)
\(282\) −7.42183 2.84897i −0.441964 0.169654i
\(283\) 6.06043 + 15.7880i 0.360255 + 0.938497i 0.987208 + 0.159440i \(0.0509687\pi\)
−0.626952 + 0.779058i \(0.715698\pi\)
\(284\) 2.09434 + 9.85308i 0.124276 + 0.584673i
\(285\) 1.13535 + 4.49493i 0.0672522 + 0.266257i
\(286\) 2.88741 + 2.36423i 0.170736 + 0.139800i
\(287\) −1.94989 29.0027i −0.115099 1.71197i
\(288\) −1.37189 2.69249i −0.0808395 0.158656i
\(289\) 10.4472 1.09804i 0.614541 0.0645909i
\(290\) −10.0204 + 7.87832i −0.588417 + 0.462631i
\(291\) 21.3337 23.6935i 1.25060 1.38894i
\(292\) −9.26596 + 6.01739i −0.542250 + 0.352141i
\(293\) −4.73617 29.9030i −0.276690 1.74695i −0.599394 0.800454i \(-0.704592\pi\)
0.322704 0.946500i \(-0.395408\pi\)
\(294\) 11.8661 + 12.4204i 0.692046 + 0.724372i
\(295\) −8.72194 2.97336i −0.507811 0.173115i
\(296\) −3.81857 + 6.61395i −0.221950 + 0.384428i
\(297\) 0.177841 0.000964704i 0.0103194 5.59778e-5i
\(298\) 6.26959 + 1.67993i 0.363187 + 0.0973158i
\(299\) 1.42616 + 1.58391i 0.0824771 + 0.0916001i
\(300\) 2.26735 12.0584i 0.130906 0.696193i
\(301\) 18.2844 4.16966i 1.05390 0.240335i
\(302\) −6.25849 + 12.2830i −0.360136 + 0.706806i
\(303\) −21.3596 + 13.8711i −1.22708 + 0.796874i
\(304\) 0.0883156 0.840267i 0.00506525 0.0481926i
\(305\) 18.9767 + 8.77834i 1.08660 + 0.502646i
\(306\) −5.72328 + 5.15326i −0.327178 + 0.294592i
\(307\) 22.3866 22.3866i 1.27767 1.27767i 0.335699 0.941969i \(-0.391028\pi\)
0.941969 0.335699i \(-0.108972\pi\)
\(308\) 8.59989 + 1.74412i 0.490024 + 0.0993804i
\(309\) 14.2514i 0.810735i
\(310\) 0.591450 8.84747i 0.0335921 0.502502i
\(311\) −2.56953 + 5.77126i −0.145705 + 0.327258i −0.971624 0.236530i \(-0.923990\pi\)
0.825920 + 0.563788i \(0.190656\pi\)
\(312\) −2.14583 + 1.73766i −0.121484 + 0.0983756i
\(313\) −10.5780 16.2887i −0.597906 0.920694i −0.999987 0.00509018i \(-0.998380\pi\)
0.402081 0.915604i \(-0.368287\pi\)
\(314\) 5.91996 + 18.2198i 0.334083 + 1.02820i
\(315\) 0.928847 17.8534i 0.0523346 1.00592i
\(316\) −4.60619 + 3.34659i −0.259118 + 0.188260i
\(317\) 1.56296 29.8230i 0.0877844 1.67503i −0.500014 0.866018i \(-0.666672\pi\)
0.587798 0.809008i \(-0.299995\pi\)
\(318\) −4.35658 + 16.2590i −0.244305 + 0.911758i
\(319\) −3.05884 + 18.6572i −0.171262 + 1.04460i
\(320\) −1.14578 + 1.92020i −0.0640513 + 0.107343i
\(321\) 18.0277 + 5.85756i 1.00621 + 0.326937i
\(322\) 4.70478 + 1.72671i 0.262187 + 0.0962256i
\(323\) −2.12677 + 0.336848i −0.118337 + 0.0187427i
\(324\) 1.85748 8.73874i 0.103193 0.485486i
\(325\) −5.62441 + 0.132643i −0.311986 + 0.00735771i
\(326\) 1.84850 17.5873i 0.102379 0.974068i
\(327\) −10.4648 8.47425i −0.578706 0.468627i
\(328\) 9.78924 4.98787i 0.540520 0.275409i
\(329\) 2.76877 + 8.11172i 0.152647 + 0.447213i
\(330\) −9.60750 15.4563i −0.528875 0.850842i
\(331\) 9.37076 16.2306i 0.515064 0.892117i −0.484783 0.874634i \(-0.661102\pi\)
0.999847 0.0174823i \(-0.00556509\pi\)
\(332\) −7.75385 + 11.9399i −0.425548 + 0.655286i
\(333\) 21.5454 8.27052i 1.18068 0.453222i
\(334\) 17.7150 7.88722i 0.969321 0.431570i
\(335\) −20.6993 10.9248i −1.13092 0.596886i
\(336\) −2.55286 + 5.96958i −0.139270 + 0.325667i
\(337\) 3.66752 + 23.1558i 0.199782 + 1.26138i 0.859997 + 0.510299i \(0.170465\pi\)
−0.660215 + 0.751077i \(0.729535\pi\)
\(338\) −9.11898 7.38441i −0.496007 0.401659i
\(339\) −34.6068 + 7.35590i −1.87958 + 0.399518i
\(340\) 5.48282 + 1.55402i 0.297348 + 0.0842783i
\(341\) −8.22138 10.2659i −0.445213 0.555931i
\(342\) −1.80535 + 1.80535i −0.0976221 + 0.0976221i
\(343\) 2.08406 18.4026i 0.112529 0.993648i
\(344\) 4.16639 + 5.73454i 0.224637 + 0.309186i
\(345\) −4.09052 9.55519i −0.220226 0.514434i
\(346\) −5.75423 5.18113i −0.309349 0.278539i
\(347\) −0.680133 + 0.0356443i −0.0365114 + 0.00191348i −0.0705829 0.997506i \(-0.522486\pi\)
0.0340715 + 0.999419i \(0.489153\pi\)
\(348\) −13.0595 5.01307i −0.700062 0.268729i
\(349\) 24.8855 18.0804i 1.33209 0.967819i 0.332394 0.943141i \(-0.392144\pi\)
0.999695 0.0246787i \(-0.00785627\pi\)
\(350\) −11.5480 + 6.45323i −0.617266 + 0.344940i
\(351\) 0.0603351 0.00322045
\(352\) 0.671957 + 3.24784i 0.0358154 + 0.173111i
\(353\) 5.78652 21.5956i 0.307985 1.14942i −0.622360 0.782731i \(-0.713826\pi\)
0.930345 0.366685i \(-0.119507\pi\)
\(354\) −2.10255 9.89172i −0.111749 0.525739i
\(355\) −22.4325 + 2.03185i −1.19060 + 0.107839i
\(356\) −0.946275 + 1.30244i −0.0501525 + 0.0690290i
\(357\) 16.3795 + 2.34681i 0.866893 + 0.124206i
\(358\) −12.7657 6.50443i −0.674686 0.343770i
\(359\) 3.30110 + 7.41440i 0.174226 + 0.391317i 0.979460 0.201640i \(-0.0646271\pi\)
−0.805234 + 0.592957i \(0.797960\pi\)
\(360\) 6.34246 2.33049i 0.334277 0.122828i
\(361\) 17.8866 3.80190i 0.941398 0.200100i
\(362\) −2.59188 9.67303i −0.136226 0.508403i
\(363\) −25.9963 7.26886i −1.36445 0.381516i
\(364\) 2.92076 + 0.575873i 0.153089 + 0.0301839i
\(365\) −10.8979 22.1714i −0.570422 1.16050i
\(366\) 2.39852 + 22.8204i 0.125372 + 1.19284i
\(367\) 2.17051 + 2.68035i 0.113300 + 0.139913i 0.830641 0.556809i \(-0.187974\pi\)
−0.717341 + 0.696722i \(0.754641\pi\)
\(368\) 0.0991357 + 1.89162i 0.00516781 + 0.0986077i
\(369\) −32.4747 6.90272i −1.69057 0.359341i
\(370\) −13.6698 10.2355i −0.710661 0.532117i
\(371\) 16.4684 7.62561i 0.854995 0.395902i
\(372\) 8.67058 4.41788i 0.449549 0.229056i
\(373\) 5.36677 + 20.0291i 0.277881 + 1.03707i 0.953886 + 0.300168i \(0.0970429\pi\)
−0.676005 + 0.736897i \(0.736290\pi\)
\(374\) 7.55210 3.79653i 0.390510 0.196314i
\(375\) 26.1699 + 8.23806i 1.35141 + 0.425412i
\(376\) −2.40751 + 2.16773i −0.124158 + 0.111792i
\(377\) −1.00339 + 6.33516i −0.0516772 + 0.326277i
\(378\) 0.125442 0.0662678i 0.00645205 0.00340845i
\(379\) −10.6598 + 3.46357i −0.547556 + 0.177912i −0.569714 0.821843i \(-0.692946\pi\)
0.0221585 + 0.999754i \(0.492946\pi\)
\(380\) 1.84212 + 0.419347i 0.0944985 + 0.0215121i
\(381\) −7.17231 0.753840i −0.367448 0.0386204i
\(382\) −1.56981 4.08949i −0.0803184 0.209237i
\(383\) −1.42274 + 27.1475i −0.0726987 + 1.38717i 0.682120 + 0.731241i \(0.261058\pi\)
−0.754818 + 0.655934i \(0.772275\pi\)
\(384\) −2.45395 −0.125227
\(385\) −6.15740 + 18.6303i −0.313810 + 0.949486i
\(386\) −8.13655 −0.414139
\(387\) 1.12102 21.3904i 0.0569848 1.08733i
\(388\) −4.65607 12.1295i −0.236376 0.615781i
\(389\) −37.3151 3.92198i −1.89195 0.198852i −0.913717 0.406351i \(-0.866801\pi\)
−0.978235 + 0.207498i \(0.933468\pi\)
\(390\) −3.28783 5.22594i −0.166486 0.264626i
\(391\) 4.59129 1.49180i 0.232191 0.0754436i
\(392\) 6.70502 2.01066i 0.338655 0.101554i
\(393\) −0.980588 + 6.19119i −0.0494641 + 0.312304i
\(394\) −0.432029 + 0.389001i −0.0217653 + 0.0195976i
\(395\) −6.20628 11.1160i −0.312272 0.559306i
\(396\) 4.59842 8.90516i 0.231079 0.447501i
\(397\) 5.03233 + 18.7809i 0.252566 + 0.942588i 0.969429 + 0.245374i \(0.0789107\pi\)
−0.716863 + 0.697214i \(0.754423\pi\)
\(398\) 22.9015 11.6689i 1.14795 0.584910i
\(399\) 5.46333 + 0.492751i 0.273509 + 0.0246684i
\(400\) −3.95884 3.05411i −0.197942 0.152706i
\(401\) −24.5291 5.21382i −1.22493 0.260366i −0.450353 0.892851i \(-0.648702\pi\)
−0.774573 + 0.632485i \(0.782035\pi\)
\(402\) −1.34430 25.6508i −0.0670475 1.27934i
\(403\) −2.80803 3.46763i −0.139878 0.172735i
\(404\) 1.08485 + 10.3217i 0.0539736 + 0.513524i
\(405\) 18.9084 + 6.44598i 0.939567 + 0.320303i
\(406\) 4.87194 + 14.2734i 0.241790 + 0.708378i
\(407\) −25.2047 + 2.51097i −1.24935 + 0.124464i
\(408\) 1.61867 + 6.04097i 0.0801363 + 0.299073i
\(409\) −18.8172 + 3.99971i −0.930449 + 0.197773i −0.648114 0.761543i \(-0.724442\pi\)
−0.282335 + 0.959316i \(0.591109\pi\)
\(410\) 8.47309 + 23.0596i 0.418456 + 1.13883i
\(411\) −3.21209 7.21446i −0.158441 0.355863i
\(412\) −5.17457 2.63657i −0.254933 0.129895i
\(413\) −6.73566 + 8.57375i −0.331440 + 0.421887i
\(414\) 3.36451 4.63085i 0.165357 0.227594i
\(415\) −24.4490 20.3878i −1.20015 1.00080i
\(416\) 0.233941 + 1.10061i 0.0114699 + 0.0539617i
\(417\) 0.691625 2.58118i 0.0338690 0.126401i
\(418\) 2.43434 1.38792i 0.119068 0.0678852i
\(419\) 7.97366 0.389539 0.194769 0.980849i \(-0.437604\pi\)
0.194769 + 0.980849i \(0.437604\pi\)
\(420\) −12.5755 7.25409i −0.613621 0.353963i
\(421\) 17.5259 12.7333i 0.854159 0.620583i −0.0721305 0.997395i \(-0.522980\pi\)
0.926290 + 0.376812i \(0.122980\pi\)
\(422\) 17.7990 + 6.83240i 0.866443 + 0.332596i
\(423\) 9.77624 0.512351i 0.475337 0.0249114i
\(424\) 5.09751 + 4.58982i 0.247557 + 0.222901i
\(425\) −4.90710 + 11.7602i −0.238029 + 0.570453i
\(426\) −14.5295 19.9982i −0.703957 0.968914i
\(427\) 17.2332 17.7500i 0.833974 0.858982i
\(428\) 5.46204 5.46204i 0.264018 0.264018i
\(429\) −8.83273 2.41815i −0.426448 0.116749i
\(430\) −13.8390 + 7.72660i −0.667377 + 0.372610i
\(431\) 27.3377 5.81080i 1.31681 0.279896i 0.504645 0.863327i \(-0.331623\pi\)
0.812163 + 0.583430i \(0.198290\pi\)
\(432\) 0.0416721 + 0.0337454i 0.00200495 + 0.00162358i
\(433\) −5.01575 31.6682i −0.241041 1.52188i −0.750205 0.661206i \(-0.770045\pi\)
0.509163 0.860670i \(-0.329955\pi\)
\(434\) −9.64675 4.12538i −0.463059 0.198024i
\(435\) 14.6002 27.6630i 0.700024 1.32634i
\(436\) −5.01296 + 2.23191i −0.240077 + 0.106889i
\(437\) 1.49412 0.573538i 0.0714733 0.0274360i
\(438\) 14.7663 22.7382i 0.705563 1.08647i
\(439\) 4.31814 7.47924i 0.206094 0.356965i −0.744387 0.667748i \(-0.767258\pi\)
0.950481 + 0.310784i \(0.100592\pi\)
\(440\) −7.38948 + 0.628915i −0.352280 + 0.0299824i
\(441\) −19.5699 8.02915i −0.931899 0.382340i
\(442\) 2.55509 1.30189i 0.121533 0.0619244i
\(443\) 32.0669 + 25.9673i 1.52354 + 1.23374i 0.886328 + 0.463058i \(0.153248\pi\)
0.637217 + 0.770685i \(0.280086\pi\)
\(444\) 1.95898 18.6385i 0.0929691 0.884542i
\(445\) −2.64027 2.44701i −0.125161 0.116000i
\(446\) 1.66827 7.84857i 0.0789947 0.371641i
\(447\) −15.7319 + 2.49168i −0.744092 + 0.117853i
\(448\) 1.69521 + 2.03132i 0.0800913 + 0.0959708i
\(449\) −27.0163 8.77812i −1.27498 0.414265i −0.408169 0.912906i \(-0.633833\pi\)
−0.866808 + 0.498641i \(0.833833\pi\)
\(450\) 3.48896 + 14.7009i 0.164471 + 0.693008i
\(451\) 32.3770 + 16.7188i 1.52457 + 0.787255i
\(452\) −3.73154 + 13.9263i −0.175517 + 0.655038i
\(453\) 1.77047 33.7825i 0.0831838 1.58724i
\(454\) 17.7663 12.9080i 0.833815 0.605802i
\(455\) −2.05464 + 6.33172i −0.0963230 + 0.296836i
\(456\) 0.640693 + 1.97185i 0.0300032 + 0.0923404i
\(457\) 13.0543 + 20.1018i 0.610654 + 0.940324i 0.999817 + 0.0191550i \(0.00609761\pi\)
−0.389163 + 0.921169i \(0.627236\pi\)
\(458\) −11.0482 + 8.94666i −0.516249 + 0.418050i
\(459\) 0.0555845 0.124845i 0.00259446 0.00582726i
\(460\) −4.22617 0.282518i −0.197046 0.0131725i
\(461\) 25.6929i 1.19664i −0.801259 0.598318i \(-0.795836\pi\)
0.801259 0.598318i \(-0.204164\pi\)
\(462\) −21.0200 + 4.67368i −0.977938 + 0.217439i
\(463\) 3.46806 3.46806i 0.161174 0.161174i −0.621912 0.783087i \(-0.713644\pi\)
0.783087 + 0.621912i \(0.213644\pi\)
\(464\) −4.23626 + 3.81435i −0.196664 + 0.177077i
\(465\) 7.50484 + 20.4245i 0.348028 + 0.947164i
\(466\) 0.456325 4.34164i 0.0211388 0.201123i
\(467\) −10.9217 + 7.09265i −0.505397 + 0.328209i −0.772027 0.635590i \(-0.780757\pi\)
0.266629 + 0.963799i \(0.414090\pi\)
\(468\) 1.54365 3.02958i 0.0713551 0.140042i
\(469\) −20.3044 + 18.8326i −0.937571 + 0.869609i
\(470\) −4.17315 5.92120i −0.192493 0.273124i
\(471\) −31.4567 34.9361i −1.44945 1.60977i
\(472\) −3.98058 1.06659i −0.183221 0.0490939i
\(473\) −7.38591 + 22.3188i −0.339605 + 1.02622i
\(474\) 6.98584 12.0998i 0.320870 0.555764i
\(475\) −1.42051 + 3.97849i −0.0651775 + 0.182545i
\(476\) 3.88238 5.51307i 0.177948 0.252691i
\(477\) −3.24258 20.4728i −0.148467 0.937386i
\(478\) −13.1523 + 8.54120i −0.601572 + 0.390665i
\(479\) −3.79357 + 4.21319i −0.173333 + 0.192506i −0.823551 0.567242i \(-0.808011\pi\)
0.650219 + 0.759747i \(0.274677\pi\)
\(480\) 0.652036 5.44831i 0.0297612 0.248680i
\(481\) −8.54619 + 0.898241i −0.389673 + 0.0409563i
\(482\) 7.80688 + 15.3219i 0.355594 + 0.697892i
\(483\) −12.2706 + 0.824970i −0.558330 + 0.0375374i
\(484\) −7.44869 + 8.09426i −0.338577 + 0.367921i
\(485\) 28.1673 7.11461i 1.27901 0.323058i
\(486\) 4.59159 + 21.6017i 0.208279 + 0.979875i
\(487\) 4.54051 + 11.8284i 0.205750 + 0.535998i 0.997162 0.0752856i \(-0.0239869\pi\)
−0.791412 + 0.611284i \(0.790654\pi\)
\(488\) 8.72961 + 3.35098i 0.395171 + 0.151692i
\(489\) 13.4101 + 41.2720i 0.606425 + 1.86638i
\(490\) 2.68253 + 15.4209i 0.121184 + 0.696645i
\(491\) −3.48115 2.52920i −0.157102 0.114141i 0.506457 0.862265i \(-0.330955\pi\)
−0.663559 + 0.748124i \(0.730955\pi\)
\(492\) −16.9670 + 20.9525i −0.764931 + 0.944611i
\(493\) 12.1843 + 7.91255i 0.548751 + 0.356363i
\(494\) 0.823306 0.475336i 0.0370423 0.0213864i
\(495\) 18.5496 + 12.5757i 0.833744 + 0.565236i
\(496\) 3.96554i 0.178058i
\(497\) −6.51685 + 25.8421i −0.292321 + 1.15918i
\(498\) 5.46520 34.5059i 0.244901 1.54625i
\(499\) 2.49930 + 5.61352i 0.111884 + 0.251296i 0.960805 0.277223i \(-0.0894142\pi\)
−0.848921 + 0.528519i \(0.822748\pi\)
\(500\) 7.83272 7.97800i 0.350290 0.356787i
\(501\) −31.8410 + 35.3630i −1.42255 + 1.57990i
\(502\) 0.801945 2.08914i 0.0357926 0.0932428i
\(503\) −36.6445 5.80392i −1.63390 0.258784i −0.729032 0.684479i \(-0.760030\pi\)
−0.904867 + 0.425695i \(0.860030\pi\)
\(504\) −0.118088 7.99419i −0.00526008 0.356090i
\(505\) −23.2048 0.333949i −1.03260 0.0148605i
\(506\) −4.90373 + 3.92711i −0.217997 + 0.174581i
\(507\) 27.8133 + 7.45255i 1.23523 + 0.330979i
\(508\) −1.60062 + 2.46474i −0.0710160 + 0.109355i
\(509\) −2.76295 26.2878i −0.122466 1.16518i −0.867248 0.497877i \(-0.834113\pi\)
0.744782 0.667308i \(-0.232553\pi\)
\(510\) −13.8424 + 1.98868i −0.612953 + 0.0880602i
\(511\) −29.0229 + 3.48456i −1.28390 + 0.154148i
\(512\) −0.453990 + 0.891007i −0.0200637 + 0.0393773i
\(513\) 0.0162358 0.0422958i 0.000716829 0.00186740i
\(514\) −0.876209 0.390113i −0.0386479 0.0172072i
\(515\) 7.22872 10.7881i 0.318535 0.475382i
\(516\) −15.0639 8.69713i −0.663150 0.382870i
\(517\) −10.4975 2.29091i −0.461681 0.100754i
\(518\) −16.7818 + 11.2541i −0.737348 + 0.494475i
\(519\) 18.0711 + 5.87166i 0.793234 + 0.257737i
\(520\) −2.50576 + 0.226961i −0.109885 + 0.00995289i
\(521\) 26.1727 + 2.75086i 1.14665 + 0.120517i 0.658734 0.752376i \(-0.271092\pi\)
0.487911 + 0.872893i \(0.337759\pi\)
\(522\) 17.2023 0.901535i 0.752925 0.0394591i
\(523\) 14.0454 + 21.6281i 0.614163 + 0.945729i 0.999734 + 0.0230506i \(0.00733787\pi\)
−0.385571 + 0.922678i \(0.625995\pi\)
\(524\) 2.06655 + 1.50144i 0.0902778 + 0.0655907i
\(525\) 19.4471 25.9929i 0.848742 1.13443i
\(526\) −5.66173 + 17.4250i −0.246863 + 0.759767i
\(527\) −9.76212 + 2.61575i −0.425245 + 0.113944i
\(528\) −4.74809 6.61030i −0.206634 0.287676i
\(529\) 16.8112 9.70597i 0.730923 0.421999i
\(530\) −11.5449 + 10.0981i −0.501478 + 0.438632i
\(531\) 7.31972 + 10.0747i 0.317649 + 0.437206i
\(532\) 1.18965 1.89253i 0.0515780 0.0820515i
\(533\) 11.0148 + 5.61232i 0.477104 + 0.243097i
\(534\) 0.821377 3.86428i 0.0355445 0.167224i
\(535\) 10.6756 + 13.5783i 0.461548 + 0.587040i
\(536\) −9.56227 4.25740i −0.413027 0.183891i
\(537\) 35.1101 + 1.84004i 1.51511 + 0.0794036i
\(538\) −19.8329 19.8329i −0.855057 0.855057i
\(539\) 18.3896 + 14.1712i 0.792096 + 0.610397i
\(540\) −0.0859950 + 0.0835549i −0.00370063 + 0.00359563i
\(541\) 2.44481 + 2.71524i 0.105111 + 0.116737i 0.793404 0.608695i \(-0.208307\pi\)
−0.688294 + 0.725432i \(0.741640\pi\)
\(542\) 3.07906 1.18194i 0.132257 0.0507687i
\(543\) 15.4652 + 19.0979i 0.663675 + 0.819571i
\(544\) 2.49289 + 0.529880i 0.106882 + 0.0227184i
\(545\) −3.62336 11.7229i −0.155208 0.502156i
\(546\) −7.12251 + 1.62425i −0.304815 + 0.0695114i
\(547\) −24.1175 3.81983i −1.03119 0.163324i −0.382167 0.924093i \(-0.624822\pi\)
−0.649023 + 0.760769i \(0.724822\pi\)
\(548\) −3.21376 0.168426i −0.137285 0.00719480i
\(549\) −14.1282 24.4707i −0.602976 1.04438i
\(550\) 0.567120 16.5734i 0.0241821 0.706693i
\(551\) 4.17103 + 2.40814i 0.177692 + 0.102590i
\(552\) −2.11029 4.14168i −0.0898199 0.176281i
\(553\) −14.8419 + 2.57599i −0.631140 + 0.109542i
\(554\) 0.808563 1.11289i 0.0343525 0.0472822i
\(555\) 40.8610 + 9.30178i 1.73445 + 0.394839i
\(556\) −0.809250 0.728652i −0.0343198 0.0309017i
\(557\) −29.6106 + 23.9782i −1.25464 + 1.01599i −0.255857 + 0.966715i \(0.582358\pi\)
−0.998785 + 0.0492748i \(0.984309\pi\)
\(558\) −7.54132 + 9.31275i −0.319249 + 0.394240i
\(559\) −2.46463 + 7.58534i −0.104243 + 0.320826i
\(560\) −4.96042 + 3.22401i −0.209616 + 0.136239i
\(561\) −13.1409 + 16.0488i −0.554808 + 0.677583i
\(562\) 23.4922 6.29472i 0.990959 0.265527i
\(563\) 34.1979 + 22.2083i 1.44127 + 0.935970i 0.999240 + 0.0389688i \(0.0124073\pi\)
0.442027 + 0.897002i \(0.354259\pi\)
\(564\) 3.23350 7.26256i 0.136155 0.305809i
\(565\) −29.9280 11.9852i −1.25908 0.504221i
\(566\) −16.0835 + 5.22585i −0.676040 + 0.219659i
\(567\) 14.6023 18.5872i 0.613241 0.780587i
\(568\) −9.94918 + 1.57580i −0.417458 + 0.0661189i
\(569\) 35.5188 3.73318i 1.48903 0.156503i 0.675211 0.737625i \(-0.264053\pi\)
0.813817 + 0.581122i \(0.197386\pi\)
\(570\) −4.54819 + 0.898545i −0.190503 + 0.0376359i
\(571\) 1.40366 + 2.43121i 0.0587412 + 0.101743i 0.893901 0.448265i \(-0.147958\pi\)
−0.835159 + 0.550008i \(0.814625\pi\)
\(572\) −2.51210 + 2.75972i −0.105036 + 0.115390i
\(573\) 7.60094 + 7.60094i 0.317534 + 0.317534i
\(574\) 29.0650 0.429341i 1.21315 0.0179203i
\(575\) 1.75018 9.30798i 0.0729877 0.388170i
\(576\) 2.76060 1.22910i 0.115025 0.0512124i
\(577\) 0.441552 + 8.42531i 0.0183820 + 0.350750i 0.992301 + 0.123853i \(0.0395250\pi\)
−0.973919 + 0.226898i \(0.927142\pi\)
\(578\) 0.549776 + 10.4903i 0.0228677 + 0.436341i
\(579\) 18.2404 8.12117i 0.758047 0.337504i
\(580\) −7.34310 10.4190i −0.304906 0.432624i
\(581\) −32.3386 + 19.3131i −1.34163 + 0.801243i
\(582\) 22.5445 + 22.5445i 0.934499 + 0.934499i
\(583\) −2.50071 + 22.6121i −0.103569 + 0.936498i
\(584\) −5.52420 9.56819i −0.228593 0.395935i
\(585\) 6.31618 + 4.23223i 0.261142 + 0.174981i
\(586\) 30.1099 3.16468i 1.24383 0.130732i
\(587\) 6.88837 1.09101i 0.284313 0.0450308i −0.0126490 0.999920i \(-0.504026\pi\)
0.296962 + 0.954889i \(0.404026\pi\)
\(588\) −13.0244 + 11.1998i −0.537117 + 0.461873i
\(589\) −3.18648 + 1.03535i −0.131297 + 0.0426609i
\(590\) 3.42575 8.55438i 0.141036 0.352178i
\(591\) 0.580253 1.30327i 0.0238684 0.0536094i
\(592\) −6.40504 4.15948i −0.263246 0.170954i
\(593\) −0.941362 + 0.252237i −0.0386571 + 0.0103581i −0.278096 0.960553i \(-0.589703\pi\)
0.239439 + 0.970911i \(0.423037\pi\)
\(594\) −0.0102709 + 0.177547i −0.000421419 + 0.00728484i
\(595\) 11.2087 + 10.0846i 0.459511 + 0.413429i
\(596\) −2.00575 + 6.17307i −0.0821589 + 0.252859i
\(597\) −39.6936 + 49.0175i −1.62455 + 2.00615i
\(598\) −1.65638 + 1.34131i −0.0677345 + 0.0548503i
\(599\) −11.7631 10.5915i −0.480627 0.432759i 0.392865 0.919596i \(-0.371484\pi\)
−0.873493 + 0.486837i \(0.838150\pi\)
\(600\) 11.9232 + 2.89533i 0.486764 + 0.118201i
\(601\) −2.49263 + 3.43081i −0.101677 + 0.139946i −0.856824 0.515610i \(-0.827565\pi\)
0.755147 + 0.655555i \(0.227565\pi\)
\(602\) 3.20701 + 18.4776i 0.130708 + 0.753091i
\(603\) 14.3599 + 28.1828i 0.584779 + 1.14769i
\(604\) −11.9386 6.89275i −0.485775 0.280462i
\(605\) −15.9919 18.6885i −0.650163 0.759795i
\(606\) −12.7342 22.0563i −0.517292 0.895976i
\(607\) −2.80014 0.146749i −0.113654 0.00595637i −0.00457601 0.999990i \(-0.501457\pi\)
−0.109078 + 0.994033i \(0.534790\pi\)
\(608\) 0.834493 + 0.132171i 0.0338432 + 0.00536023i
\(609\) −25.1683 27.1353i −1.01987 1.09958i
\(610\) −9.75947 + 18.4913i −0.395149 + 0.748691i
\(611\) −3.56555 0.757881i −0.144247 0.0306606i
\(612\) −4.84667 5.98513i −0.195915 0.241935i
\(613\) −39.4566 + 15.1460i −1.59364 + 0.611740i −0.983557 0.180600i \(-0.942196\pi\)
−0.610080 + 0.792340i \(0.708863\pi\)
\(614\) 21.1843 + 23.5275i 0.854927 + 0.949492i
\(615\) −42.0110 43.2378i −1.69405 1.74352i
\(616\) −2.19181 + 8.49682i −0.0883106 + 0.342347i
\(617\) 14.5455 + 14.5455i 0.585581 + 0.585581i 0.936431 0.350850i \(-0.114107\pi\)
−0.350850 + 0.936431i \(0.614107\pi\)
\(618\) 14.2319 + 0.745862i 0.572490 + 0.0300030i
\(619\) 29.9252 + 13.3236i 1.20280 + 0.535520i 0.907567 0.419906i \(-0.137937\pi\)
0.295230 + 0.955426i \(0.404604\pi\)
\(620\) 8.80439 + 1.05368i 0.353593 + 0.0423168i
\(621\) −0.0211179 + 0.0993521i −0.000847434 + 0.00398686i
\(622\) −5.62887 2.86805i −0.225697 0.114998i
\(623\) −3.76617 + 1.98957i −0.150889 + 0.0797104i
\(624\) −1.62297 2.23383i −0.0649710 0.0894248i
\(625\) 15.6317 + 19.5102i 0.625269 + 0.780409i
\(626\) 16.8200 9.71105i 0.672264 0.388132i
\(627\) −4.07199 + 5.54116i −0.162620 + 0.221293i
\(628\) −18.5046 + 4.95830i −0.738415 + 0.197858i
\(629\) −6.01466 + 18.5112i −0.239820 + 0.738091i
\(630\) 17.7803 + 1.86195i 0.708384 + 0.0741818i
\(631\) −12.4548 9.04897i −0.495819 0.360234i 0.311599 0.950214i \(-0.399136\pi\)
−0.807418 + 0.589980i \(0.799136\pi\)
\(632\) −3.10093 4.77502i −0.123349 0.189940i
\(633\) −46.7212 + 2.44855i −1.85700 + 0.0973212i
\(634\) 29.7003 + 3.12163i 1.17955 + 0.123976i
\(635\) −5.04698 4.20864i −0.200283 0.167015i
\(636\) −16.0087 5.20154i −0.634786 0.206254i
\(637\) 6.26482 + 4.77380i 0.248221 + 0.189145i
\(638\) −18.4715 4.03109i −0.731295 0.159592i
\(639\) 26.3616 + 15.2199i 1.04285 + 0.602088i
\(640\) −1.85761 1.24471i −0.0734283 0.0492015i
\(641\) −9.98685 4.44643i −0.394457 0.175624i 0.199916 0.979813i \(-0.435933\pi\)
−0.594373 + 0.804189i \(0.702600\pi\)
\(642\) −6.79303 + 17.6965i −0.268100 + 0.698424i
\(643\) −3.66250 + 7.18807i −0.144435 + 0.283470i −0.951879 0.306475i \(-0.900850\pi\)
0.807444 + 0.589945i \(0.200850\pi\)
\(644\) −1.97057 + 4.60796i −0.0776513 + 0.181579i
\(645\) 23.3122 31.1343i 0.917917 1.22591i
\(646\) −0.225079 2.14149i −0.00885563 0.0842557i
\(647\) −20.2452 + 31.1748i −0.795920 + 1.22561i 0.174613 + 0.984637i \(0.444133\pi\)
−0.970532 + 0.240971i \(0.922534\pi\)
\(648\) 8.62955 + 2.31228i 0.339001 + 0.0908350i
\(649\) −4.82882 12.7864i −0.189548 0.501909i
\(650\) 0.161898 5.62365i 0.00635015 0.220578i
\(651\) 25.7436 0.380278i 1.00897 0.0149043i
\(652\) 17.4664 + 2.76641i 0.684038 + 0.108341i
\(653\) 4.48152 11.6748i 0.175376 0.456869i −0.817514 0.575909i \(-0.804648\pi\)
0.992889 + 0.119040i \(0.0379816\pi\)
\(654\) 9.01032 10.0070i 0.352331 0.391304i
\(655\) −3.88264 + 4.18927i −0.151707 + 0.163688i
\(656\) 4.46870 + 10.0369i 0.174473 + 0.391874i
\(657\) −5.22282 + 32.9756i −0.203761 + 1.28650i
\(658\) −8.24551 + 2.34044i −0.321443 + 0.0912399i
\(659\) 24.8147i 0.966643i −0.875443 0.483321i \(-0.839430\pi\)
0.875443 0.483321i \(-0.160570\pi\)
\(660\) 15.9380 8.78541i 0.620384 0.341972i
\(661\) −3.31863 + 1.91601i −0.129080 + 0.0745243i −0.563150 0.826355i \(-0.690410\pi\)
0.434070 + 0.900879i \(0.357077\pi\)
\(662\) 15.7180 + 10.2074i 0.610896 + 0.396721i
\(663\) −4.42856 + 5.46882i −0.171991 + 0.212391i
\(664\) −11.5177 8.36811i −0.446974 0.324746i
\(665\) 3.88574 + 3.14416i 0.150682 + 0.121925i
\(666\) 7.13158 + 21.9488i 0.276343 + 0.850497i
\(667\) −10.0807 3.86962i −0.390327 0.149832i
\(668\) 6.94928 + 18.1035i 0.268876 + 0.700445i
\(669\) 4.09383 + 19.2600i 0.158277 + 0.744634i
\(670\) 11.9932 20.0992i 0.463336 0.776498i
\(671\) 7.86406 + 29.9991i 0.303589 + 1.15810i
\(672\) −5.82779 2.86178i −0.224812 0.110396i
\(673\) 12.1456 + 23.8371i 0.468178 + 0.918851i 0.997516 + 0.0704402i \(0.0224404\pi\)
−0.529338 + 0.848411i \(0.677560\pi\)
\(674\) −23.3160 + 2.45061i −0.898099 + 0.0943940i
\(675\) −0.162661 0.213129i −0.00626083 0.00820336i
\(676\) 7.85154 8.72001i 0.301982 0.335385i
\(677\) −28.5386 + 18.5332i −1.09683 + 0.712288i −0.960473 0.278372i \(-0.910205\pi\)
−0.136354 + 0.990660i \(0.543539\pi\)
\(678\) −5.53464 34.9444i −0.212557 1.34203i
\(679\) 3.08781 34.2358i 0.118499 1.31385i
\(680\) −1.83883 + 5.39398i −0.0705161 + 0.206850i
\(681\) −26.9448 + 46.6698i −1.03253 + 1.78839i
\(682\) 10.6821 7.67284i 0.409040 0.293808i
\(683\) 5.13514 + 1.37596i 0.196491 + 0.0526496i 0.355722 0.934592i \(-0.384235\pi\)
−0.159231 + 0.987241i \(0.550902\pi\)
\(684\) −1.70839 1.89736i −0.0653219 0.0725473i
\(685\) 1.22787 7.09051i 0.0469144 0.270915i
\(686\) 18.2683 + 3.04432i 0.697488 + 0.116233i
\(687\) 15.8380 31.0839i 0.604258 1.18592i
\(688\) −5.94474 + 3.86056i −0.226641 + 0.147182i
\(689\) −0.806765 + 7.67585i −0.0307353 + 0.292427i
\(690\) 9.75617 3.58484i 0.371411 0.136472i
\(691\) 36.3355 32.7167i 1.38227 1.24460i 0.445212 0.895425i \(-0.353128\pi\)
0.937057 0.349176i \(-0.113538\pi\)
\(692\) 5.47519 5.47519i 0.208135 0.208135i
\(693\) 21.3058 15.7859i 0.809341 0.599657i
\(694\) 0.681066i 0.0258529i
\(695\) 1.83280 1.60311i 0.0695219 0.0608093i
\(696\) 5.68968 12.7792i 0.215667 0.484395i
\(697\) 21.7605 17.6213i 0.824238 0.667454i
\(698\) 16.7532 + 25.7976i 0.634117 + 0.976455i
\(699\) 3.31045 + 10.1885i 0.125213 + 0.385365i
\(700\) −5.84001 11.8699i −0.220732 0.448640i
\(701\) 11.4920 8.34941i 0.434046 0.315353i −0.349219 0.937041i \(-0.613553\pi\)
0.783265 + 0.621688i \(0.213553\pi\)
\(702\) −0.00315770 + 0.0602524i −0.000119180 + 0.00227408i
\(703\) −1.67005 + 6.23271i −0.0629872 + 0.235071i
\(704\) −3.27856 + 0.501057i −0.123565 + 0.0188843i
\(705\) 15.2653 + 9.10882i 0.574926 + 0.343058i
\(706\) 21.2631 + 6.90881i 0.800248 + 0.260016i
\(707\) −9.46075 + 25.7778i −0.355808 + 0.969475i
\(708\) 9.98820 1.58198i 0.375380 0.0594543i
\(709\) 4.82543 22.7018i 0.181223 0.852586i −0.789756 0.613421i \(-0.789793\pi\)
0.970979 0.239165i \(-0.0768737\pi\)
\(710\) −0.855033 22.5081i −0.0320888 0.844715i
\(711\) −1.79842 + 17.1108i −0.0674461 + 0.641706i
\(712\) −1.25113 1.01314i −0.0468880 0.0379691i
\(713\) 6.69288 3.41019i 0.250650 0.127713i
\(714\) −3.20083 + 16.2342i −0.119788 + 0.607549i
\(715\) −5.45971 6.31071i −0.204182 0.236007i
\(716\) 7.16362 12.4077i 0.267717 0.463699i
\(717\) 20.9596 32.2750i 0.782752 1.20533i
\(718\) −7.57700 + 2.90854i −0.282771 + 0.108546i
\(719\) 18.4394 8.20976i 0.687674 0.306172i −0.0329908 0.999456i \(-0.510503\pi\)
0.720665 + 0.693283i \(0.243837\pi\)
\(720\) 1.99536 + 6.45573i 0.0743626 + 0.240591i
\(721\) −9.21414 12.2961i −0.343152 0.457929i
\(722\) 2.86058 + 18.0610i 0.106460 + 0.672162i
\(723\) −32.7943 26.5563i −1.21963 0.987639i
\(724\) 9.79542 2.08208i 0.364044 0.0773800i
\(725\) 25.0836 13.5349i 0.931581 0.502674i
\(726\) 8.61944 25.5803i 0.319897 0.949372i
\(727\) −34.3242 + 34.3242i −1.27301 + 1.27301i −0.328517 + 0.944498i \(0.606549\pi\)
−0.944498 + 0.328517i \(0.893451\pi\)
\(728\) −0.727944 + 2.88661i −0.0269794 + 0.106985i
\(729\) −16.1005 22.1605i −0.596316 0.820759i
\(730\) 22.7114 9.72261i 0.840585 0.359850i
\(731\) 13.4250 + 12.0879i 0.496540 + 0.447086i
\(732\) −22.9146 + 1.20090i −0.846948 + 0.0443867i
\(733\) 3.98659 + 1.53031i 0.147248 + 0.0565232i 0.430876 0.902411i \(-0.358205\pi\)
−0.283628 + 0.958934i \(0.591538\pi\)
\(734\) −2.79028 + 2.02725i −0.102991 + 0.0748273i
\(735\) −21.4054 31.8930i −0.789551 1.17639i
\(736\) −1.89422 −0.0698218
\(737\) −7.03351 33.9958i −0.259083 1.25225i
\(738\) 8.59285 32.0690i 0.316307 1.18047i
\(739\) −3.56457 16.7700i −0.131125 0.616894i −0.993804 0.111143i \(-0.964549\pi\)
0.862680 0.505751i \(-0.168784\pi\)
\(740\) 10.9369 13.1154i 0.402047 0.482132i
\(741\) −1.37124 + 1.88735i −0.0503739 + 0.0693337i
\(742\) 6.75327 + 16.8449i 0.247920 + 0.618396i
\(743\) 23.0850 + 11.7624i 0.846906 + 0.431520i 0.822896 0.568191i \(-0.192357\pi\)
0.0240100 + 0.999712i \(0.492357\pi\)
\(744\) 3.95804 + 8.88991i 0.145109 + 0.325920i
\(745\) −13.1727 6.09347i −0.482609 0.223247i
\(746\) −20.2825 + 4.31117i −0.742594 + 0.157843i
\(747\) 11.1347 + 41.5552i 0.407397 + 1.52043i
\(748\) 3.39608 + 7.74045i 0.124173 + 0.283019i
\(749\) 19.3414 6.60180i 0.706720 0.241224i
\(750\) −9.59640 + 25.7029i −0.350411 + 0.938538i
\(751\) 0.616458 + 5.86521i 0.0224949 + 0.214024i 0.999995 + 0.00309066i \(0.000983790\pi\)
−0.977500 + 0.210934i \(0.932350\pi\)
\(752\) −2.03876 2.51766i −0.0743459 0.0918096i
\(753\) 0.287396 + 5.48384i 0.0104733 + 0.199842i
\(754\) −6.27396 1.33357i −0.228484 0.0485658i
\(755\) 18.4757 24.6749i 0.672398 0.898012i
\(756\) 0.0596118 + 0.128739i 0.00216806 + 0.00468218i
\(757\) 38.2257 19.4770i 1.38934 0.707903i 0.410370 0.911919i \(-0.365399\pi\)
0.978968 + 0.204016i \(0.0653995\pi\)
\(758\) −2.90093 10.8264i −0.105367 0.393234i
\(759\) 7.07345 13.6982i 0.256750 0.497214i
\(760\) −0.515181 + 1.81764i −0.0186876 + 0.0659329i
\(761\) −4.44341 + 4.00086i −0.161073 + 0.145031i −0.745726 0.666252i \(-0.767897\pi\)
0.584653 + 0.811284i \(0.301231\pi\)
\(762\) 1.12818 7.12303i 0.0408695 0.258040i
\(763\) −14.5080 0.545600i −0.525224 0.0197520i
\(764\) 4.16604 1.35363i 0.150722 0.0489726i
\(765\) 14.5761 9.17038i 0.527002 0.331556i
\(766\) −27.0359 2.84158i −0.976846 0.102671i
\(767\) −1.66173 4.32894i −0.0600014 0.156309i
\(768\) 0.128430 2.45058i 0.00463430 0.0884278i
\(769\) 36.3829 1.31200 0.656001 0.754760i \(-0.272247\pi\)
0.656001 + 0.754760i \(0.272247\pi\)
\(770\) −18.2825 7.12400i −0.658854 0.256731i
\(771\) 2.35365 0.0847648