Properties

Label 690.2.n.a.89.14
Level $690$
Weight $2$
Character 690.89
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.n (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 89.14
Character \(\chi\) \(=\) 690.89
Dual form 690.2.n.a.659.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(0.277794 - 1.70963i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-1.79300 + 1.33609i) q^{5} +(-1.73176 - 0.0316608i) q^{6} +(-0.483302 + 0.310599i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-2.84566 - 0.949849i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(0.277794 - 1.70963i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-1.79300 + 1.33609i) q^{5} +(-1.73176 - 0.0316608i) q^{6} +(-0.483302 + 0.310599i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-2.84566 - 0.949849i) q^{9} +(1.57766 + 1.58461i) q^{10} +(-0.617442 + 4.29440i) q^{11} +(0.215117 + 1.71864i) q^{12} +(1.02536 - 1.59549i) q^{13} +(0.376219 + 0.434180i) q^{14} +(1.78613 + 3.43653i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-1.19284 + 4.06243i) q^{17} +(-0.535201 + 2.95187i) q^{18} +(0.213298 + 0.726425i) q^{19} +(1.34396 - 1.78712i) q^{20} +(0.396751 + 0.912550i) q^{21} +4.33856 q^{22} +(4.22869 + 2.26235i) q^{23} +(1.67053 - 0.457515i) q^{24} +(1.42973 - 4.79123i) q^{25} +(-1.72517 - 0.787858i) q^{26} +(-2.41440 + 4.60116i) q^{27} +(0.376219 - 0.434180i) q^{28} +(-1.29159 + 4.39876i) q^{29} +(3.14736 - 2.25702i) q^{30} +(1.13568 + 2.48679i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(7.17031 + 2.24856i) q^{33} +(4.19084 + 0.602551i) q^{34} +(0.451574 - 1.20264i) q^{35} +(2.99800 + 0.109658i) q^{36} +(0.469465 + 0.541792i) q^{37} +(0.688676 - 0.314508i) q^{38} +(-2.44285 - 2.19619i) q^{39} +(-1.96019 - 1.07594i) q^{40} +(-0.688519 - 0.596605i) q^{41} +(0.846798 - 0.522582i) q^{42} +(-1.91710 + 4.19786i) q^{43} +(-0.617442 - 4.29440i) q^{44} +(6.37137 - 2.09897i) q^{45} +(1.63751 - 4.50761i) q^{46} -6.98212 q^{47} +(-0.690600 - 1.58842i) q^{48} +(-2.77080 + 6.06720i) q^{49} +(-4.94593 - 0.733315i) q^{50} +(6.61388 + 3.16782i) q^{51} +(-0.534322 + 1.81973i) q^{52} +(1.10788 + 1.72390i) q^{53} +(4.89793 + 1.73501i) q^{54} +(-4.63063 - 8.52484i) q^{55} +(-0.483302 - 0.310599i) q^{56} +(1.30117 - 0.162863i) q^{57} +(4.53780 + 0.652438i) q^{58} +(2.47824 - 3.85621i) q^{59} +(-2.68196 - 2.79411i) q^{60} +(3.92849 - 1.79408i) q^{61} +(2.29985 - 1.47803i) q^{62} +(1.67034 - 0.424797i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(0.293243 + 4.23068i) q^{65} +(1.20523 - 7.41733i) q^{66} +(-1.50369 - 10.4584i) q^{67} -4.23393i q^{68} +(5.04248 - 6.60102i) q^{69} +(-1.25467 - 0.275824i) q^{70} +(-11.6770 + 1.67890i) q^{71} +(-0.318117 - 2.98309i) q^{72} +(1.52050 + 5.17834i) q^{73} +(0.469465 - 0.541792i) q^{74} +(-7.79405 - 3.77528i) q^{75} +(-0.409315 - 0.636907i) q^{76} +(-1.03543 - 2.26727i) q^{77} +(-1.82619 + 2.73054i) q^{78} +(-5.12499 + 7.97465i) q^{79} +(-0.786027 + 2.09336i) q^{80} +(7.19557 + 5.40590i) q^{81} +(-0.492546 + 0.766417i) q^{82} +(8.24830 - 7.14720i) q^{83} +(-0.637775 - 0.763807i) q^{84} +(-3.28900 - 8.87768i) q^{85} +(4.42796 + 1.30017i) q^{86} +(7.16146 + 3.43010i) q^{87} +(-4.16282 + 1.22231i) q^{88} +(-4.53438 + 9.92892i) q^{89} +(-2.98435 - 6.00780i) q^{90} +1.08958i q^{91} +(-4.69477 - 0.979347i) q^{92} +(4.56697 - 1.25077i) q^{93} +(0.993659 + 6.91105i) q^{94} +(-1.35301 - 1.01750i) q^{95} +(-1.47397 + 0.909626i) q^{96} +(5.09324 - 5.87791i) q^{97} +(6.39977 + 1.87914i) q^{98} +(5.83606 - 11.6339i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} + O(q^{10}) \) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} - 9q^{12} + 11q^{15} - 24q^{16} - 6q^{18} - 4q^{23} + 2q^{24} - 12q^{25} + 2q^{27} + 22q^{30} + 28q^{31} - 24q^{32} - 36q^{35} - 6q^{36} - 4q^{46} + 104q^{47} - 9q^{48} + 70q^{49} + 54q^{50} - 9q^{54} - 26q^{55} - 44q^{57} - 11q^{60} + 44q^{61} + 28q^{62} - 121q^{63} - 24q^{64} + 44q^{65} + 44q^{66} - 102q^{69} - 36q^{70} + 16q^{72} - 82q^{75} + 8q^{77} - 44q^{79} + 74q^{81} - 11q^{84} + 22q^{85} - 93q^{87} - 4q^{92} + 172q^{93} + 16q^{94} + 26q^{95} + 2q^{96} + 4q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 0.989821i −0.100632 0.699909i
\(3\) 0.277794 1.70963i 0.160384 0.987055i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) −1.79300 + 1.33609i −0.801856 + 0.597517i
\(6\) −1.73176 0.0316608i −0.706989 0.0129255i
\(7\) −0.483302 + 0.310599i −0.182671 + 0.117396i −0.628780 0.777583i \(-0.716446\pi\)
0.446109 + 0.894978i \(0.352809\pi\)
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) −2.84566 0.949849i −0.948554 0.316616i
\(10\) 1.57766 + 1.58461i 0.498900 + 0.501097i
\(11\) −0.617442 + 4.29440i −0.186166 + 1.29481i 0.655658 + 0.755058i \(0.272391\pi\)
−0.841824 + 0.539753i \(0.818518\pi\)
\(12\) 0.215117 + 1.71864i 0.0620989 + 0.496129i
\(13\) 1.02536 1.59549i 0.284383 0.442508i −0.669445 0.742861i \(-0.733468\pi\)
0.953828 + 0.300353i \(0.0971046\pi\)
\(14\) 0.376219 + 0.434180i 0.100549 + 0.116039i
\(15\) 1.78613 + 3.43653i 0.461177 + 0.887308i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) −1.19284 + 4.06243i −0.289305 + 0.985283i 0.678713 + 0.734404i \(0.262538\pi\)
−0.968018 + 0.250880i \(0.919280\pi\)
\(18\) −0.535201 + 2.95187i −0.126148 + 0.695763i
\(19\) 0.213298 + 0.726425i 0.0489338 + 0.166653i 0.980335 0.197341i \(-0.0632308\pi\)
−0.931401 + 0.363995i \(0.881413\pi\)
\(20\) 1.34396 1.78712i 0.300518 0.399611i
\(21\) 0.396751 + 0.912550i 0.0865782 + 0.199135i
\(22\) 4.33856 0.924985
\(23\) 4.22869 + 2.26235i 0.881742 + 0.471732i
\(24\) 1.67053 0.457515i 0.340996 0.0933899i
\(25\) 1.42973 4.79123i 0.285946 0.958246i
\(26\) −1.72517 0.787858i −0.338334 0.154512i
\(27\) −2.41440 + 4.60116i −0.464651 + 0.885494i
\(28\) 0.376219 0.434180i 0.0710987 0.0820523i
\(29\) −1.29159 + 4.39876i −0.239843 + 0.816830i 0.748309 + 0.663350i \(0.230866\pi\)
−0.988152 + 0.153480i \(0.950952\pi\)
\(30\) 3.14736 2.25702i 0.574626 0.412074i
\(31\) 1.13568 + 2.48679i 0.203974 + 0.446640i 0.983780 0.179381i \(-0.0574095\pi\)
−0.779806 + 0.626021i \(0.784682\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) 7.17031 + 2.24856i 1.24819 + 0.391423i
\(34\) 4.19084 + 0.602551i 0.718722 + 0.103337i
\(35\) 0.451574 1.20264i 0.0763300 0.203283i
\(36\) 2.99800 + 0.109658i 0.499666 + 0.0182763i
\(37\) 0.469465 + 0.541792i 0.0771796 + 0.0890700i 0.793026 0.609188i \(-0.208504\pi\)
−0.715846 + 0.698258i \(0.753959\pi\)
\(38\) 0.688676 0.314508i 0.111718 0.0510199i
\(39\) −2.44285 2.19619i −0.391169 0.351673i
\(40\) −1.96019 1.07594i −0.309933 0.170121i
\(41\) −0.688519 0.596605i −0.107529 0.0931741i 0.599437 0.800422i \(-0.295391\pi\)
−0.706966 + 0.707248i \(0.749937\pi\)
\(42\) 0.846798 0.522582i 0.130664 0.0806362i
\(43\) −1.91710 + 4.19786i −0.292355 + 0.640168i −0.997633 0.0687629i \(-0.978095\pi\)
0.705278 + 0.708931i \(0.250822\pi\)
\(44\) −0.617442 4.29440i −0.0930829 0.647405i
\(45\) 6.37137 2.09897i 0.949787 0.312897i
\(46\) 1.63751 4.50761i 0.241438 0.664611i
\(47\) −6.98212 −1.01845 −0.509223 0.860634i \(-0.670067\pi\)
−0.509223 + 0.860634i \(0.670067\pi\)
\(48\) −0.690600 1.58842i −0.0996795 0.229268i
\(49\) −2.77080 + 6.06720i −0.395828 + 0.866742i
\(50\) −4.94593 0.733315i −0.699460 0.103706i
\(51\) 6.61388 + 3.16782i 0.926128 + 0.443584i
\(52\) −0.534322 + 1.81973i −0.0740971 + 0.252352i
\(53\) 1.10788 + 1.72390i 0.152180 + 0.236796i 0.908970 0.416862i \(-0.136870\pi\)
−0.756790 + 0.653658i \(0.773234\pi\)
\(54\) 4.89793 + 1.73501i 0.666524 + 0.236105i
\(55\) −4.63063 8.52484i −0.624394 1.14949i
\(56\) −0.483302 0.310599i −0.0645839 0.0415056i
\(57\) 1.30117 0.162863i 0.172344 0.0215718i
\(58\) 4.53780 + 0.652438i 0.595843 + 0.0856693i
\(59\) 2.47824 3.85621i 0.322639 0.502036i −0.641611 0.767030i \(-0.721734\pi\)
0.964250 + 0.264994i \(0.0853699\pi\)
\(60\) −2.68196 2.79411i −0.346240 0.360719i
\(61\) 3.92849 1.79408i 0.502991 0.229708i −0.147726 0.989028i \(-0.547195\pi\)
0.650718 + 0.759320i \(0.274468\pi\)
\(62\) 2.29985 1.47803i 0.292082 0.187709i
\(63\) 1.67034 0.424797i 0.210443 0.0535193i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) 0.293243 + 4.23068i 0.0363723 + 0.524751i
\(66\) 1.20523 7.41733i 0.148353 0.913010i
\(67\) −1.50369 10.4584i −0.183705 1.27770i −0.847908 0.530144i \(-0.822138\pi\)
0.664202 0.747553i \(-0.268771\pi\)
\(68\) 4.23393i 0.513439i
\(69\) 5.04248 6.60102i 0.607043 0.794669i
\(70\) −1.25467 0.275824i −0.149961 0.0329673i
\(71\) −11.6770 + 1.67890i −1.38580 + 0.199248i −0.794531 0.607224i \(-0.792283\pi\)
−0.591272 + 0.806472i \(0.701374\pi\)
\(72\) −0.318117 2.98309i −0.0374905 0.351560i
\(73\) 1.52050 + 5.17834i 0.177961 + 0.606079i 0.999362 + 0.0357274i \(0.0113748\pi\)
−0.821401 + 0.570351i \(0.806807\pi\)
\(74\) 0.469465 0.541792i 0.0545742 0.0629820i
\(75\) −7.79405 3.77528i −0.899980 0.435932i
\(76\) −0.409315 0.636907i −0.0469517 0.0730582i
\(77\) −1.03543 2.26727i −0.117998 0.258379i
\(78\) −1.82619 + 2.73054i −0.206775 + 0.309172i
\(79\) −5.12499 + 7.97465i −0.576607 + 0.897218i −0.999962 0.00874603i \(-0.997216\pi\)
0.423355 + 0.905964i \(0.360852\pi\)
\(80\) −0.786027 + 2.09336i −0.0878805 + 0.234045i
\(81\) 7.19557 + 5.40590i 0.799508 + 0.600655i
\(82\) −0.492546 + 0.766417i −0.0543926 + 0.0846366i
\(83\) 8.24830 7.14720i 0.905369 0.784507i −0.0717007 0.997426i \(-0.522843\pi\)
0.977070 + 0.212919i \(0.0682972\pi\)
\(84\) −0.637775 0.763807i −0.0695869 0.0833382i
\(85\) −3.28900 8.87768i −0.356743 0.962920i
\(86\) 4.42796 + 1.30017i 0.477480 + 0.140201i
\(87\) 7.16146 + 3.43010i 0.767789 + 0.367745i
\(88\) −4.16282 + 1.22231i −0.443758 + 0.130299i
\(89\) −4.53438 + 9.92892i −0.480644 + 1.05246i 0.501642 + 0.865075i \(0.332729\pi\)
−0.982286 + 0.187388i \(0.939998\pi\)
\(90\) −2.98435 6.00780i −0.314578 0.633278i
\(91\) 1.08958i 0.114219i
\(92\) −4.69477 0.979347i −0.489464 0.102104i
\(93\) 4.56697 1.25077i 0.473573 0.129699i
\(94\) 0.993659 + 6.91105i 0.102488 + 0.712821i
\(95\) −1.35301 1.01750i −0.138816 0.104393i
\(96\) −1.47397 + 0.909626i −0.150436 + 0.0928383i
\(97\) 5.09324 5.87791i 0.517140 0.596812i −0.435772 0.900057i \(-0.643525\pi\)
0.952913 + 0.303245i \(0.0980701\pi\)
\(98\) 6.39977 + 1.87914i 0.646474 + 0.189822i
\(99\) 5.83606 11.6339i 0.586546 1.16925i
\(100\) −0.0219711 + 4.99995i −0.00219711 + 0.499995i
\(101\) −10.8521 + 9.40339i −1.07982 + 0.935672i −0.998139 0.0609865i \(-0.980575\pi\)
−0.0816842 + 0.996658i \(0.526030\pi\)
\(102\) 2.19433 6.99739i 0.217271 0.692845i
\(103\) 0.130735 0.909280i 0.0128817 0.0895941i −0.982366 0.186966i \(-0.940135\pi\)
0.995248 + 0.0973720i \(0.0310437\pi\)
\(104\) 1.87725 + 0.269908i 0.184080 + 0.0264667i
\(105\) −1.93062 1.10611i −0.188410 0.107945i
\(106\) 1.54869 1.34194i 0.150422 0.130341i
\(107\) −10.6883 + 4.88119i −1.03328 + 0.471882i −0.858548 0.512734i \(-0.828633\pi\)
−0.174731 + 0.984616i \(0.555906\pi\)
\(108\) 1.02030 5.09500i 0.0981783 0.490266i
\(109\) −0.620718 + 2.11397i −0.0594540 + 0.202482i −0.983864 0.178919i \(-0.942740\pi\)
0.924410 + 0.381401i \(0.124558\pi\)
\(110\) −7.77906 + 5.79671i −0.741704 + 0.552694i
\(111\) 1.05668 0.652105i 0.100295 0.0618950i
\(112\) −0.238657 + 0.522586i −0.0225510 + 0.0493797i
\(113\) 17.1376 2.46401i 1.61217 0.231795i 0.723493 0.690332i \(-0.242536\pi\)
0.888675 + 0.458538i \(0.151627\pi\)
\(114\) −0.346382 1.26475i −0.0324416 0.118455i
\(115\) −10.6048 + 1.59351i −0.988898 + 0.148595i
\(116\) 4.58447i 0.425657i
\(117\) −4.43329 + 3.56628i −0.409857 + 0.329702i
\(118\) −4.16965 1.90422i −0.383848 0.175297i
\(119\) −0.685287 2.33387i −0.0628201 0.213946i
\(120\) −2.38399 + 3.05231i −0.217628 + 0.278636i
\(121\) −7.50623 2.20403i −0.682385 0.200366i
\(122\) −2.33490 3.63318i −0.211392 0.328932i
\(123\) −1.21124 + 1.01138i −0.109214 + 0.0911930i
\(124\) −1.79028 2.06610i −0.160772 0.185541i
\(125\) 3.83800 + 10.5009i 0.343281 + 0.939233i
\(126\) −0.658186 1.59288i −0.0586359 0.141905i
\(127\) −16.3010 2.34373i −1.44648 0.207973i −0.626080 0.779759i \(-0.715342\pi\)
−0.820403 + 0.571786i \(0.806251\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) 6.64422 + 4.44367i 0.584991 + 0.391243i
\(130\) 4.14589 0.892347i 0.363618 0.0782640i
\(131\) 2.50347 + 3.89548i 0.218729 + 0.340349i 0.933226 0.359289i \(-0.116981\pi\)
−0.714497 + 0.699638i \(0.753344\pi\)
\(132\) −7.51335 0.137362i −0.653954 0.0119559i
\(133\) −0.328714 0.284833i −0.0285032 0.0246981i
\(134\) −10.1380 + 2.97677i −0.875786 + 0.257154i
\(135\) −1.81854 11.4758i −0.156515 0.987676i
\(136\) −4.19084 + 0.602551i −0.359361 + 0.0516683i
\(137\) 8.34533i 0.712989i 0.934297 + 0.356495i \(0.116028\pi\)
−0.934297 + 0.356495i \(0.883972\pi\)
\(138\) −7.25145 4.05173i −0.617284 0.344906i
\(139\) −2.74816 −0.233096 −0.116548 0.993185i \(-0.537183\pi\)
−0.116548 + 0.993185i \(0.537183\pi\)
\(140\) −0.0944592 + 1.28115i −0.00798326 + 0.108277i
\(141\) −1.93959 + 11.9368i −0.163343 + 1.00526i
\(142\) 3.32361 + 11.3192i 0.278912 + 0.949886i
\(143\) 6.21856 + 5.38841i 0.520022 + 0.450602i
\(144\) −2.90745 + 0.739417i −0.242287 + 0.0616181i
\(145\) −3.56131 9.61269i −0.295751 0.798290i
\(146\) 4.90924 2.24198i 0.406292 0.185547i
\(147\) 9.60294 + 6.42246i 0.792038 + 0.529716i
\(148\) −0.603089 0.387582i −0.0495736 0.0318590i
\(149\) −3.05802 + 21.2690i −0.250523 + 1.74242i 0.344565 + 0.938762i \(0.388026\pi\)
−0.595088 + 0.803661i \(0.702883\pi\)
\(150\) −2.62765 + 8.25200i −0.214546 + 0.673773i
\(151\) 6.59432 + 4.23791i 0.536638 + 0.344876i 0.780723 0.624878i \(-0.214851\pi\)
−0.244085 + 0.969754i \(0.578487\pi\)
\(152\) −0.572173 + 0.495790i −0.0464093 + 0.0402139i
\(153\) 7.25310 10.4273i 0.586378 0.842995i
\(154\) −2.09684 + 1.34755i −0.168968 + 0.108589i
\(155\) −5.35885 2.94146i −0.430433 0.236263i
\(156\) 2.96264 + 1.41900i 0.237201 + 0.113611i
\(157\) −1.67360 + 0.491414i −0.133568 + 0.0392191i −0.347833 0.937556i \(-0.613082\pi\)
0.214265 + 0.976776i \(0.431264\pi\)
\(158\) 8.62284 + 3.93792i 0.685996 + 0.313284i
\(159\) 3.25499 1.41518i 0.258138 0.112231i
\(160\) 2.18392 + 0.480110i 0.172654 + 0.0379560i
\(161\) −2.74642 + 0.220031i −0.216448 + 0.0173408i
\(162\) 4.32684 7.89167i 0.339948 0.620028i
\(163\) −13.8447 + 1.99057i −1.08440 + 0.155913i −0.661264 0.750153i \(-0.729980\pi\)
−0.423136 + 0.906066i \(0.639071\pi\)
\(164\) 0.828712 + 0.378460i 0.0647116 + 0.0295528i
\(165\) −15.8607 + 5.54851i −1.23475 + 0.431951i
\(166\) −8.24830 7.14720i −0.640193 0.554730i
\(167\) 4.63776 + 1.36177i 0.358880 + 0.105377i 0.456202 0.889876i \(-0.349209\pi\)
−0.0973218 + 0.995253i \(0.531028\pi\)
\(168\) −0.665268 + 0.739984i −0.0513265 + 0.0570910i
\(169\) 3.90618 + 8.55333i 0.300475 + 0.657949i
\(170\) −8.31925 + 4.51895i −0.638057 + 0.346588i
\(171\) 0.0830213 2.26976i 0.00634880 0.173573i
\(172\) 0.656769 4.56793i 0.0500781 0.348301i
\(173\) 3.55519 24.7269i 0.270296 1.87995i −0.175006 0.984567i \(-0.555994\pi\)
0.445301 0.895381i \(-0.353097\pi\)
\(174\) 2.37600 7.57672i 0.180124 0.574390i
\(175\) 0.797161 + 2.75968i 0.0602597 + 0.208612i
\(176\) 1.80230 + 3.94650i 0.135854 + 0.297478i
\(177\) −5.90426 5.30810i −0.443791 0.398981i
\(178\) 10.4732 + 3.07520i 0.784997 + 0.230496i
\(179\) −19.4179 16.8257i −1.45136 1.25761i −0.908561 0.417752i \(-0.862818\pi\)
−0.542801 0.839861i \(-0.682636\pi\)
\(180\) −5.52193 + 3.80897i −0.411580 + 0.283904i
\(181\) −7.28066 3.32497i −0.541167 0.247143i 0.126027 0.992027i \(-0.459777\pi\)
−0.667194 + 0.744884i \(0.732505\pi\)
\(182\) 1.07849 0.155063i 0.0799427 0.0114940i
\(183\) −1.97590 7.21464i −0.146063 0.533321i
\(184\) −0.301243 + 4.78636i −0.0222079 + 0.352855i
\(185\) −1.56563 0.344187i −0.115108 0.0253052i
\(186\) −1.88799 4.34248i −0.138434 0.318406i
\(187\) −16.7092 7.63083i −1.22190 0.558022i
\(188\) 6.69930 1.96709i 0.488596 0.143465i
\(189\) −0.262235 2.97366i −0.0190748 0.216302i
\(190\) −0.814589 + 1.48405i −0.0590965 + 0.107664i
\(191\) 7.47791 4.80576i 0.541083 0.347733i −0.241380 0.970431i \(-0.577600\pi\)
0.782462 + 0.622698i \(0.213963\pi\)
\(192\) 1.11013 + 1.32951i 0.0801171 + 0.0959492i
\(193\) 12.2701 10.6321i 0.883223 0.765317i −0.0898159 0.995958i \(-0.528628\pi\)
0.973039 + 0.230641i \(0.0740824\pi\)
\(194\) −6.54293 4.20489i −0.469755 0.301893i
\(195\) 7.31435 + 0.673921i 0.523792 + 0.0482605i
\(196\) 0.949232 6.60206i 0.0678023 0.471575i
\(197\) −12.6059 8.10129i −0.898130 0.577193i 0.00810523 0.999967i \(-0.497420\pi\)
−0.906235 + 0.422774i \(0.861056\pi\)
\(198\) −12.3461 4.12098i −0.877398 0.292865i
\(199\) 13.6835 6.24904i 0.969996 0.442982i 0.133556 0.991041i \(-0.457360\pi\)
0.836440 + 0.548059i \(0.184633\pi\)
\(200\) 4.95219 0.689820i 0.350172 0.0487776i
\(201\) −18.2977 0.334527i −1.29062 0.0235957i
\(202\) 10.8521 + 9.40339i 0.763550 + 0.661620i
\(203\) −0.742023 2.52710i −0.0520798 0.177368i
\(204\) −7.23845 1.17616i −0.506793 0.0823477i
\(205\) 2.03164 + 0.149793i 0.141896 + 0.0104620i
\(206\) −0.918631 −0.0640040
\(207\) −9.88452 10.4545i −0.687022 0.726637i
\(208\) 1.89656i 0.131503i
\(209\) −3.25126 + 0.467461i −0.224894 + 0.0323349i
\(210\) −0.820095 + 2.06839i −0.0565920 + 0.142732i
\(211\) 26.9399 7.91027i 1.85462 0.544566i 0.854955 0.518703i \(-0.173585\pi\)
0.999665 0.0258630i \(-0.00823337\pi\)
\(212\) −1.54869 1.34194i −0.106364 0.0921651i
\(213\) −0.373505 + 20.4297i −0.0255921 + 1.39982i
\(214\) 6.35261 + 9.88486i 0.434256 + 0.675715i
\(215\) −2.17135 10.0882i −0.148085 0.688009i
\(216\) −5.18834 0.284821i −0.353022 0.0193796i
\(217\) −1.32127 0.849129i −0.0896937 0.0576426i
\(218\) 2.18079 + 0.313551i 0.147702 + 0.0212363i
\(219\) 9.27542 1.16098i 0.626775 0.0784515i
\(220\) 6.84478 + 6.87492i 0.461475 + 0.463507i
\(221\) 5.25846 + 6.06859i 0.353722 + 0.408217i
\(222\) −0.795848 0.953117i −0.0534138 0.0639690i
\(223\) −2.67478 4.16204i −0.179117 0.278711i 0.740073 0.672527i \(-0.234791\pi\)
−0.919189 + 0.393816i \(0.871155\pi\)
\(224\) 0.551231 + 0.161856i 0.0368307 + 0.0108145i
\(225\) −8.61947 + 12.2762i −0.574631 + 0.818412i
\(226\) −4.87786 16.6125i −0.324471 1.10505i
\(227\) −2.57634 1.17657i −0.170998 0.0780920i 0.328077 0.944651i \(-0.393599\pi\)
−0.499075 + 0.866559i \(0.666327\pi\)
\(228\) −1.20258 + 0.522848i −0.0796428 + 0.0346265i
\(229\) 19.8432i 1.31127i 0.755076 + 0.655637i \(0.227600\pi\)
−0.755076 + 0.655637i \(0.772400\pi\)
\(230\) 3.08650 + 10.2700i 0.203518 + 0.677186i
\(231\) −4.16383 + 1.14036i −0.273960 + 0.0750304i
\(232\) −4.53780 + 0.652438i −0.297921 + 0.0428346i
\(233\) 2.54537 5.57357i 0.166752 0.365137i −0.807746 0.589530i \(-0.799313\pi\)
0.974499 + 0.224394i \(0.0720401\pi\)
\(234\) 4.16090 + 3.88063i 0.272007 + 0.253685i
\(235\) 12.5190 9.32874i 0.816648 0.608540i
\(236\) −1.29143 + 4.39821i −0.0840650 + 0.286299i
\(237\) 12.2100 + 10.9771i 0.793124 + 0.713042i
\(238\) −2.21259 + 1.01046i −0.143421 + 0.0654982i
\(239\) 15.4131 13.3555i 0.996989 0.863896i 0.00629177 0.999980i \(-0.497997\pi\)
0.990697 + 0.136084i \(0.0434518\pi\)
\(240\) 3.36052 + 1.92534i 0.216920 + 0.124280i
\(241\) −10.5689 1.51958i −0.680804 0.0978848i −0.206768 0.978390i \(-0.566294\pi\)
−0.474036 + 0.880505i \(0.657203\pi\)
\(242\) −1.11335 + 7.74350i −0.0715686 + 0.497771i
\(243\) 11.2410 10.8000i 0.721108 0.692823i
\(244\) −3.26390 + 2.82819i −0.208950 + 0.181056i
\(245\) −3.13827 14.5805i −0.200497 0.931517i
\(246\) 1.17346 + 1.05498i 0.0748172 + 0.0672629i
\(247\) 1.37771 + 0.404531i 0.0876614 + 0.0257397i
\(248\) −1.79028 + 2.06610i −0.113683 + 0.131197i
\(249\) −9.92772 16.0870i −0.629144 1.01947i
\(250\) 9.84785 5.29337i 0.622833 0.334782i
\(251\) −4.38354 30.4882i −0.276686 1.92440i −0.370553 0.928811i \(-0.620832\pi\)
0.0938662 0.995585i \(-0.470077\pi\)
\(252\) −1.48300 + 0.878177i −0.0934200 + 0.0553200i
\(253\) −12.3264 + 16.7628i −0.774954 + 1.05387i
\(254\) 16.4687i 1.03334i
\(255\) −16.0912 + 3.15681i −1.00767 + 0.197687i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) −8.37632 + 2.45951i −0.522500 + 0.153420i −0.532338 0.846532i \(-0.678687\pi\)
0.00983804 + 0.999952i \(0.496868\pi\)
\(258\) 3.45287 7.20900i 0.214966 0.448812i
\(259\) −0.395173 0.116033i −0.0245549 0.00720996i
\(260\) −1.47328 3.97669i −0.0913692 0.246624i
\(261\) 7.85360 11.2906i 0.486126 0.698869i
\(262\) 3.49954 3.03237i 0.216203 0.187341i
\(263\) −14.4425 + 22.4730i −0.890566 + 1.38575i 0.0318271 + 0.999493i \(0.489867\pi\)
−0.922393 + 0.386254i \(0.873769\pi\)
\(264\) 0.933298 + 7.45643i 0.0574405 + 0.458911i
\(265\) −4.28973 1.61073i −0.263516 0.0989464i
\(266\) −0.235153 + 0.365904i −0.0144181 + 0.0224350i
\(267\) 15.7151 + 10.5103i 0.961751 + 0.643220i
\(268\) 4.38925 + 9.61112i 0.268116 + 0.587093i
\(269\) −1.65040 2.56807i −0.100627 0.156578i 0.787289 0.616584i \(-0.211484\pi\)
−0.887916 + 0.460006i \(0.847847\pi\)
\(270\) −11.1001 + 3.43320i −0.675533 + 0.208938i
\(271\) −10.6069 + 12.2410i −0.644321 + 0.743586i −0.980133 0.198343i \(-0.936444\pi\)
0.335811 + 0.941929i \(0.390990\pi\)
\(272\) 1.19284 + 4.06243i 0.0723263 + 0.246321i
\(273\) 1.86277 + 0.302678i 0.112740 + 0.0183189i
\(274\) 8.26038 1.18766i 0.499028 0.0717494i
\(275\) 19.6927 + 9.09814i 1.18751 + 0.548639i
\(276\) −2.97850 + 7.75426i −0.179285 + 0.466752i
\(277\) 21.8781i 1.31453i 0.753661 + 0.657263i \(0.228286\pi\)
−0.753661 + 0.657263i \(0.771714\pi\)
\(278\) 0.391104 + 2.72018i 0.0234568 + 0.163146i
\(279\) −0.869682 8.15528i −0.0520665 0.488244i
\(280\) 1.28155 0.0888287i 0.0765873 0.00530853i
\(281\) 14.4695 16.6987i 0.863181 0.996164i −0.136804 0.990598i \(-0.543683\pi\)
0.999985 0.00556568i \(-0.00177162\pi\)
\(282\) 12.0914 + 0.221060i 0.720030 + 0.0131639i
\(283\) 9.17567 5.89685i 0.545437 0.350531i −0.238725 0.971087i \(-0.576729\pi\)
0.784162 + 0.620556i \(0.213093\pi\)
\(284\) 10.7310 4.90067i 0.636767 0.290802i
\(285\) −2.11540 + 2.03049i −0.125306 + 0.120276i
\(286\) 4.44857 6.92211i 0.263050 0.409313i
\(287\) 0.518068 + 0.0744869i 0.0305806 + 0.00439682i
\(288\) 1.14566 + 2.77263i 0.0675089 + 0.163379i
\(289\) −0.779142 0.500724i −0.0458319 0.0294544i
\(290\) −9.00802 + 4.89309i −0.528969 + 0.287332i
\(291\) −8.63418 10.3404i −0.506145 0.606165i
\(292\) −2.91781 4.54021i −0.170752 0.265696i
\(293\) −1.07672 + 3.66698i −0.0629028 + 0.214227i −0.984947 0.172858i \(-0.944700\pi\)
0.922044 + 0.387085i \(0.126518\pi\)
\(294\) 4.99045 10.4192i 0.291049 0.607661i
\(295\) 0.708754 + 10.2254i 0.0412653 + 0.595343i
\(296\) −0.297808 + 0.652109i −0.0173097 + 0.0379030i
\(297\) −18.2685 13.2093i −1.06005 0.766484i
\(298\) 21.4877 1.24475
\(299\) 7.94545 4.42710i 0.459497 0.256026i
\(300\) 8.54196 + 1.42652i 0.493170 + 0.0823601i
\(301\) −0.377315 2.62428i −0.0217481 0.151261i
\(302\) 3.25631 7.13032i 0.187379 0.410304i
\(303\) 13.0617 + 21.1652i 0.750372 + 1.21591i
\(304\) 0.572173 + 0.495790i 0.0328163 + 0.0284355i
\(305\) −4.64674 + 8.46560i −0.266072 + 0.484739i
\(306\) −11.3534 5.69532i −0.649029 0.325580i
\(307\) 18.2286 8.32473i 1.04036 0.475117i 0.179395 0.983777i \(-0.442586\pi\)
0.860968 + 0.508660i \(0.169859\pi\)
\(308\) 1.63225 + 1.88372i 0.0930060 + 0.107335i
\(309\) −1.51821 0.476101i −0.0863682 0.0270844i
\(310\) −2.14887 + 5.72291i −0.122048 + 0.325040i
\(311\) 30.1498 + 4.33488i 1.70964 + 0.245809i 0.926568 0.376126i \(-0.122744\pi\)
0.783069 + 0.621935i \(0.213653\pi\)
\(312\) 0.982932 3.13443i 0.0556476 0.177452i
\(313\) 7.66085 + 8.84109i 0.433017 + 0.499728i 0.929758 0.368171i \(-0.120016\pi\)
−0.496742 + 0.867898i \(0.665470\pi\)
\(314\) 0.724591 + 1.58663i 0.0408910 + 0.0895388i
\(315\) −2.42735 + 2.99338i −0.136766 + 0.168658i
\(316\) 2.67068 9.09550i 0.150237 0.511662i
\(317\) 13.4695 15.5446i 0.756521 0.873072i −0.238662 0.971103i \(-0.576709\pi\)
0.995183 + 0.0980304i \(0.0312543\pi\)
\(318\) −1.86401 3.02046i −0.104528 0.169379i
\(319\) −18.0926 8.26260i −1.01299 0.462617i
\(320\) 0.164419 2.23001i 0.00919132 0.124662i
\(321\) 5.37587 + 19.6290i 0.300052 + 1.09558i
\(322\) 0.608647 + 2.68715i 0.0339186 + 0.149749i
\(323\) −3.20548 −0.178358
\(324\) −8.42712 3.15969i −0.468173 0.175538i
\(325\) −6.17835 7.19383i −0.342713 0.399042i
\(326\) 3.94061 + 13.4205i 0.218250 + 0.743292i
\(327\) 3.44168 + 1.64845i 0.190325 + 0.0911593i
\(328\) 0.256670 0.874138i 0.0141722 0.0482662i
\(329\) 3.37447 2.16864i 0.186041 0.119561i
\(330\) 7.74924 + 14.9096i 0.426582 + 0.820746i
\(331\) 13.2938 + 15.3419i 0.730693 + 0.843265i 0.992550 0.121842i \(-0.0388801\pi\)
−0.261856 + 0.965107i \(0.584335\pi\)
\(332\) −5.90059 + 9.18150i −0.323837 + 0.503900i
\(333\) −0.821318 1.98768i −0.0450080 0.108924i
\(334\) 0.687886 4.78435i 0.0376394 0.261788i
\(335\) 16.6695 + 16.7429i 0.910751 + 0.914762i
\(336\) 0.827130 + 0.553186i 0.0451236 + 0.0301788i
\(337\) 7.95109 + 17.4105i 0.433123 + 0.948408i 0.992810 + 0.119703i \(0.0381943\pi\)
−0.559686 + 0.828705i \(0.689078\pi\)
\(338\) 7.91037 5.08368i 0.430267 0.276516i
\(339\) 0.548169 29.9834i 0.0297725 1.62847i
\(340\) 5.65691 + 7.59146i 0.306789 + 0.411705i
\(341\) −11.3805 + 3.34161i −0.616288 + 0.180958i
\(342\) −2.25847 + 0.240844i −0.122124 + 0.0130234i
\(343\) −1.11766 7.77348i −0.0603478 0.419728i
\(344\) −4.61490 −0.248819
\(345\) −0.221632 + 18.5729i −0.0119323 + 0.999929i
\(346\) −24.9811 −1.34299
\(347\) −2.90162 20.1812i −0.155767 1.08339i −0.906325 0.422581i \(-0.861124\pi\)
0.750558 0.660805i \(-0.229785\pi\)
\(348\) −7.83774 1.27354i −0.420147 0.0682688i
\(349\) −9.06471 + 2.66164i −0.485223 + 0.142474i −0.515189 0.857077i \(-0.672278\pi\)
0.0299660 + 0.999551i \(0.490460\pi\)
\(350\) 2.61815 1.18179i 0.139946 0.0631694i
\(351\) 4.86547 + 8.56996i 0.259700 + 0.457431i
\(352\) 3.64983 2.34560i 0.194537 0.125021i
\(353\) 0.141241 + 0.309274i 0.00751748 + 0.0164610i 0.913354 0.407168i \(-0.133483\pi\)
−0.905836 + 0.423629i \(0.860756\pi\)
\(354\) −4.41381 + 6.59958i −0.234591 + 0.350764i
\(355\) 18.6937 18.6118i 0.992160 0.987810i
\(356\) 1.55341 10.8042i 0.0823306 0.572622i
\(357\) −4.18042 + 0.523251i −0.221252 + 0.0276934i
\(358\) −13.8910 + 21.6148i −0.734162 + 1.14238i
\(359\) 19.9323 + 23.0031i 1.05199 + 1.21406i 0.976187 + 0.216933i \(0.0696052\pi\)
0.0757989 + 0.997123i \(0.475849\pi\)
\(360\) 4.55606 + 4.92365i 0.240125 + 0.259499i
\(361\) 15.5016 9.96229i 0.815875 0.524331i
\(362\) −2.25498 + 7.67974i −0.118519 + 0.403638i
\(363\) −5.85326 + 12.2206i −0.307216 + 0.641415i
\(364\) −0.306969 1.04544i −0.0160896 0.0547960i
\(365\) −9.64499 7.25327i −0.504842 0.379653i
\(366\) −6.86000 + 2.98254i −0.358578 + 0.155900i
\(367\) 25.8828 1.35107 0.675537 0.737326i \(-0.263912\pi\)
0.675537 + 0.737326i \(0.263912\pi\)
\(368\) 4.78051 0.382993i 0.249202 0.0199649i
\(369\) 1.39261 + 2.35173i 0.0724962 + 0.122426i
\(370\) −0.117871 + 1.59868i −0.00612782 + 0.0831115i
\(371\) −1.07088 0.489057i −0.0555976 0.0253906i
\(372\) −4.02959 + 2.48677i −0.208925 + 0.128933i
\(373\) −1.11913 + 1.29155i −0.0579465 + 0.0668738i −0.783983 0.620783i \(-0.786815\pi\)
0.726036 + 0.687656i \(0.241360\pi\)
\(374\) −5.17519 + 17.6251i −0.267603 + 0.911372i
\(375\) 19.0189 3.64445i 0.982131 0.188199i
\(376\) −2.90048 6.35116i −0.149581 0.327536i
\(377\) 5.69382 + 6.57102i 0.293247 + 0.338425i
\(378\) −2.90607 + 0.682762i −0.149472 + 0.0351175i
\(379\) −16.0166 2.30284i −0.822716 0.118289i −0.281915 0.959439i \(-0.590970\pi\)
−0.540801 + 0.841151i \(0.681879\pi\)
\(380\) 1.58487 + 0.595095i 0.0813021 + 0.0305277i
\(381\) −8.53524 + 27.2176i −0.437274 + 1.39440i
\(382\) −5.82106 6.71787i −0.297832 0.343716i
\(383\) −24.9667 + 11.4019i −1.27574 + 0.582611i −0.934030 0.357194i \(-0.883734\pi\)
−0.341711 + 0.939805i \(0.611006\pi\)
\(384\) 1.15799 1.28804i 0.0590934 0.0657302i
\(385\) 4.88580 + 2.68180i 0.249004 + 0.136677i
\(386\) −12.2701 10.6321i −0.624533 0.541161i
\(387\) 9.44275 10.1247i 0.480002 0.514669i
\(388\) −3.23093 + 7.07475i −0.164026 + 0.359166i
\(389\) −4.66718 32.4610i −0.236636 1.64584i −0.668365 0.743833i \(-0.733006\pi\)
0.431730 0.902003i \(-0.357903\pi\)
\(390\) −0.373880 7.33581i −0.0189321 0.371463i
\(391\) −14.2347 + 14.4801i −0.719882 + 0.732291i
\(392\) −6.66995 −0.336883
\(393\) 7.35527 3.19786i 0.371024 0.161311i
\(394\) −6.22483 + 13.6305i −0.313602 + 0.686694i
\(395\) −1.46570 21.1460i −0.0737475 1.06397i
\(396\) −2.32200 + 12.8069i −0.116685 + 0.643570i
\(397\) −4.05961 + 13.8257i −0.203746 + 0.693894i 0.792696 + 0.609616i \(0.208677\pi\)
−0.996442 + 0.0842780i \(0.973142\pi\)
\(398\) −8.13279 12.6549i −0.407660 0.634331i
\(399\) −0.578273 + 0.482855i −0.0289499 + 0.0241730i
\(400\) −1.38757 4.80361i −0.0693784 0.240180i
\(401\) 19.4753 + 12.5160i 0.972550 + 0.625020i 0.927444 0.373962i \(-0.122001\pi\)
0.0451061 + 0.998982i \(0.485637\pi\)
\(402\) 2.27291 + 18.1591i 0.113363 + 0.905692i
\(403\) 5.13211 + 0.737886i 0.255649 + 0.0367567i
\(404\) 7.76326 12.0799i 0.386237 0.600996i
\(405\) −20.1245 0.0788663i −0.999992 0.00391890i
\(406\) −2.39578 + 1.09411i −0.118900 + 0.0543000i
\(407\) −2.61654 + 1.68155i −0.129697 + 0.0833512i
\(408\) −0.134050 + 7.33216i −0.00663645 + 0.362996i
\(409\) 14.8528 17.1410i 0.734422 0.847568i −0.258540 0.966001i \(-0.583241\pi\)
0.992962 + 0.118432i \(0.0377868\pi\)
\(410\) −0.140864 2.03227i −0.00695677 0.100367i
\(411\) 14.2674 + 2.31828i 0.703759 + 0.114352i
\(412\) 0.130735 + 0.909280i 0.00644084 + 0.0447970i
\(413\) 2.63346i 0.129584i
\(414\) −8.94136 + 11.2717i −0.439444 + 0.553976i
\(415\) −5.23995 + 23.8354i −0.257219 + 1.17004i
\(416\) −1.87725 + 0.269908i −0.0920399 + 0.0132333i
\(417\) −0.763421 + 4.69833i −0.0373849 + 0.230078i
\(418\) 0.925405 + 3.15164i 0.0452631 + 0.154152i
\(419\) 24.8634 28.6938i 1.21465 1.40179i 0.324650 0.945834i \(-0.394754\pi\)
0.890005 0.455951i \(-0.150701\pi\)
\(420\) 2.16405 + 0.517385i 0.105595 + 0.0252458i
\(421\) 5.69135 + 8.85592i 0.277380 + 0.431611i 0.951792 0.306744i \(-0.0992394\pi\)
−0.674413 + 0.738355i \(0.735603\pi\)
\(422\) −11.6637 25.5400i −0.567780 1.24327i
\(423\) 19.8687 + 6.63196i 0.966052 + 0.322457i
\(424\) −1.10788 + 1.72390i −0.0538036 + 0.0837200i
\(425\) 17.7586 + 11.5233i 0.861418 + 0.558963i
\(426\) 20.2749 2.53774i 0.982322 0.122954i
\(427\) −1.34141 + 2.08727i −0.0649152 + 0.101010i
\(428\) 8.88017 7.69471i 0.429239 0.371938i
\(429\) 10.9397 9.13456i 0.528172 0.441021i
\(430\) −9.67650 + 3.58495i −0.466642 + 0.172882i
\(431\) −31.8931 9.36465i −1.53624 0.451080i −0.599284 0.800537i \(-0.704548\pi\)
−0.936952 + 0.349457i \(0.886366\pi\)
\(432\) 0.456456 + 5.17606i 0.0219613 + 0.249034i
\(433\) 36.5857 10.7425i 1.75820 0.516253i 0.766208 0.642593i \(-0.222141\pi\)
0.991987 + 0.126340i \(0.0403230\pi\)
\(434\) −0.652450 + 1.42867i −0.0313186 + 0.0685781i
\(435\) −17.4234 + 3.41817i −0.835390 + 0.163889i
\(436\) 2.20322i 0.105515i
\(437\) −0.741457 + 3.55438i −0.0354687 + 0.170029i
\(438\) −2.46919 9.01579i −0.117982 0.430791i
\(439\) −1.54789 10.7658i −0.0738770 0.513826i −0.992837 0.119475i \(-0.961879\pi\)
0.918960 0.394350i \(-0.129030\pi\)
\(440\) 5.83083 7.75351i 0.277974 0.369634i
\(441\) 13.6477 14.6333i 0.649889 0.696826i
\(442\) 5.25846 6.06859i 0.250119 0.288653i
\(443\) −23.6937 6.95711i −1.12572 0.330542i −0.334698 0.942325i \(-0.608634\pi\)
−0.791026 + 0.611783i \(0.790452\pi\)
\(444\) −0.830155 + 0.923390i −0.0393974 + 0.0438221i
\(445\) −5.13575 23.8609i −0.243458 1.13112i
\(446\) −3.73902 + 3.23988i −0.177048 + 0.153413i
\(447\) 35.5126 + 11.1365i 1.67969 + 0.526737i
\(448\) 0.0817602 0.568655i 0.00386281 0.0268664i
\(449\) 16.8672 + 2.42514i 0.796013 + 0.114449i 0.528309 0.849052i \(-0.322826\pi\)
0.267704 + 0.963501i \(0.413735\pi\)
\(450\) 13.3779 + 6.78465i 0.630641 + 0.319832i
\(451\) 2.98718 2.58841i 0.140661 0.121883i
\(452\) −15.7492 + 7.19241i −0.740780 + 0.338303i
\(453\) 9.07712 10.0966i 0.426480 0.474378i
\(454\) −0.797948 + 2.71756i −0.0374495 + 0.127541i
\(455\) −1.45577 1.95362i −0.0682476 0.0915869i
\(456\) 0.688671 + 1.11593i 0.0322500 + 0.0522582i
\(457\) 2.74112 6.00221i 0.128224 0.280771i −0.834622 0.550824i \(-0.814314\pi\)
0.962846 + 0.270052i \(0.0870410\pi\)
\(458\) 19.6412 2.82398i 0.917773 0.131956i
\(459\) −15.8119 15.2967i −0.738036 0.713991i
\(460\) 9.72624 4.51666i 0.453488 0.210590i
\(461\) 19.2937i 0.898596i 0.893382 + 0.449298i \(0.148326\pi\)
−0.893382 + 0.449298i \(0.851674\pi\)
\(462\) 1.72133 + 3.95915i 0.0800835 + 0.184196i
\(463\) −34.3737 15.6979i −1.59748 0.729545i −0.599967 0.800025i \(-0.704820\pi\)
−0.997513 + 0.0704797i \(0.977547\pi\)
\(464\) 1.29159 + 4.39876i 0.0599607 + 0.204208i
\(465\) −6.51745 + 8.34452i −0.302240 + 0.386968i
\(466\) −5.87908 1.72625i −0.272343 0.0799672i
\(467\) 10.4129 + 16.2028i 0.481852 + 0.749776i 0.994030 0.109103i \(-0.0347978\pi\)
−0.512179 + 0.858879i \(0.671161\pi\)
\(468\) 3.24897 4.67082i 0.150184 0.215909i
\(469\) 3.97511 + 4.58752i 0.183553 + 0.211832i
\(470\) −11.0154 11.0639i −0.508103 0.510341i
\(471\) 0.375219 + 2.99775i 0.0172892 + 0.138129i
\(472\) 4.53723 + 0.652356i 0.208843 + 0.0300271i
\(473\) −16.8436 10.8247i −0.774470 0.497721i
\(474\) 9.12775 13.6479i 0.419252 0.626870i
\(475\) 3.78543 + 0.0166341i 0.173687 + 0.000763226i
\(476\) 1.31506 + 2.04627i 0.0602755 + 0.0937905i
\(477\) −1.51522 5.95796i −0.0693770 0.272796i
\(478\) −15.4131 13.3555i −0.704978 0.610867i
\(479\) −7.04036 + 2.06724i −0.321682 + 0.0944545i −0.438587 0.898689i \(-0.644521\pi\)
0.116905 + 0.993143i \(0.462703\pi\)
\(480\) 1.42749 3.60032i 0.0651556 0.164331i
\(481\) 1.34579 0.193495i 0.0613627 0.00882263i
\(482\) 10.6776i 0.486351i
\(483\) −0.386767 + 4.75647i −0.0175985 + 0.216427i
\(484\) 7.82312 0.355597
\(485\) −1.27879 + 17.3442i −0.0580667 + 0.787557i
\(486\) −12.2899 9.58954i −0.557479 0.434990i
\(487\) −0.132000 0.449551i −0.00598149 0.0203711i 0.956448 0.291902i \(-0.0942882\pi\)
−0.962430 + 0.271531i \(0.912470\pi\)
\(488\) 3.26390 + 2.82819i 0.147750 + 0.128026i
\(489\) −0.442842 + 24.2223i −0.0200260 + 1.09537i
\(490\) −13.9855 + 5.18135i −0.631801 + 0.234070i
\(491\) 6.87073 3.13776i 0.310072 0.141605i −0.254301 0.967125i \(-0.581845\pi\)
0.564373 + 0.825520i \(0.309118\pi\)
\(492\) 0.877238 1.31166i 0.0395489 0.0591341i
\(493\) −16.3290 10.4940i −0.735421 0.472626i
\(494\) 0.204346 1.42125i 0.00919394 0.0639453i
\(495\) 5.07989 + 28.6572i 0.228324 + 1.28805i
\(496\) 2.29985 + 1.47803i 0.103266 + 0.0663653i
\(497\) 5.12204 4.43828i 0.229755 0.199084i
\(498\) −14.5104 + 12.1161i −0.650226 + 0.542935i
\(499\) −13.8982 + 8.93186i −0.622171 + 0.399845i −0.813404 0.581700i \(-0.802388\pi\)
0.191233 + 0.981545i \(0.438751\pi\)
\(500\) −6.64099 8.99429i −0.296994 0.402237i
\(501\) 3.61646 7.55055i 0.161571 0.337334i
\(502\) −29.5540 + 8.67784i −1.31906 + 0.387311i
\(503\) 23.3427 + 10.6603i 1.04080 + 0.475317i 0.861117 0.508407i \(-0.169765\pi\)
0.179683 + 0.983725i \(0.442493\pi\)
\(504\) 1.08029 + 1.34292i 0.0481200 + 0.0598186i
\(505\) 6.89407 31.3597i 0.306782 1.39549i
\(506\) 18.3464 + 9.81533i 0.815598 + 0.436345i
\(507\) 15.7081 4.30205i 0.697623 0.191061i
\(508\) 16.3010 2.34373i 0.723241 0.103986i
\(509\) 29.4046 + 13.4286i 1.30334 + 0.595214i 0.941495 0.337026i \(-0.109421\pi\)
0.361841 + 0.932240i \(0.382148\pi\)
\(510\) 5.41470 + 15.4782i 0.239767 + 0.685385i
\(511\) −2.34325 2.03044i −0.103659 0.0898212i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) −3.85739 0.772461i −0.170308 0.0341050i
\(514\) 3.62655 + 7.94103i 0.159960 + 0.350264i
\(515\) 0.980472 + 1.80502i 0.0432048 + 0.0795386i
\(516\) −7.62701 2.39177i −0.335761 0.105292i
\(517\) 4.31105 29.9840i 0.189600 1.31870i
\(518\) −0.0586133 + 0.407664i −0.00257532 + 0.0179117i
\(519\) −41.2861 12.9470i −1.81226 0.568311i
\(520\) −3.72654 + 2.02423i −0.163420 + 0.0887684i
\(521\) −10.4930 22.9765i −0.459706 1.00662i −0.987554 0.157278i \(-0.949728\pi\)
0.527848 0.849339i \(-0.322999\pi\)
\(522\) −12.2933 6.16685i −0.538065 0.269916i
\(523\) −12.4314 3.65020i −0.543588 0.159612i −0.00160124 0.999999i \(-0.500510\pi\)
−0.541987 + 0.840387i \(0.682328\pi\)
\(524\) −3.49954 3.03237i −0.152878 0.132470i
\(525\) 4.93948 0.596226i 0.215577 0.0260214i
\(526\) 24.2997 + 11.0973i 1.05952 + 0.483865i
\(527\) −11.4571 + 1.64728i −0.499078 + 0.0717566i
\(528\) 7.24771 1.98496i 0.315416 0.0863842i
\(529\) 12.7636 + 19.1335i 0.554938 + 0.831892i
\(530\) −0.983843 + 4.47529i −0.0427354 + 0.194394i
\(531\) −10.7150 + 8.61953i −0.464994 + 0.374056i
\(532\) 0.395646 + 0.180685i 0.0171534 + 0.00783370i
\(533\) −1.65785 + 0.486789i −0.0718096 + 0.0210852i
\(534\) 8.16683 17.0510i 0.353413 0.737867i
\(535\) 12.6425 23.0325i 0.546583 0.995784i
\(536\) 8.88864 5.71238i 0.383931 0.246737i
\(537\) −34.1599 + 28.5233i −1.47411 + 1.23087i
\(538\) −2.30705 + 1.99907i −0.0994642 + 0.0861862i
\(539\) −24.3442 15.6451i −1.04858 0.673880i
\(540\) 4.97797 + 10.4986i 0.214218 + 0.451786i
\(541\) −6.07479 + 42.2511i −0.261176 + 1.81652i 0.262876 + 0.964830i \(0.415329\pi\)
−0.524051 + 0.851687i \(0.675580\pi\)
\(542\) 13.6259 + 8.75683i 0.585282 + 0.376138i
\(543\) −7.70698 + 11.5236i −0.330738 + 0.494524i
\(544\) 3.85132 1.75884i 0.165124 0.0754096i
\(545\) −1.71151 4.61970i −0.0733128 0.197886i
\(546\) 0.0344969 1.88689i 0.00147633 0.0807513i
\(547\) −25.1502 21.7928i −1.07535 0.931792i −0.0774734 0.996994i \(-0.524685\pi\)
−0.997872 + 0.0652022i \(0.979231\pi\)
\(548\) −2.35115 8.00728i −0.100436 0.342054i
\(549\) −12.8832 + 1.37387i −0.549844 + 0.0586355i
\(550\) 6.20297 20.7870i 0.264496 0.886363i
\(551\) −3.47087 −0.147864
\(552\) 8.09922 + 1.84464i 0.344726 + 0.0785129i
\(553\) 5.44598i 0.231587i
\(554\) 21.6554 3.11357i 0.920049 0.132283i
\(555\) −1.02336 + 2.58104i −0.0434391 + 0.109559i
\(556\) 2.63684 0.774245i 0.111827 0.0328353i
\(557\) −17.4925 15.1573i −0.741181 0.642237i 0.200133 0.979769i \(-0.435862\pi\)
−0.941314 + 0.337532i \(0.890408\pi\)
\(558\) −7.94850 + 2.02145i −0.336487 + 0.0855747i
\(559\) 4.73192 + 7.36301i 0.200139 + 0.311422i
\(560\) −0.270308 1.25587i −0.0114226 0.0530700i
\(561\) −17.6876 + 26.4467i −0.746771 + 1.11658i
\(562\) −18.5880 11.9458i −0.784088 0.503903i
\(563\) 5.50318 + 0.791238i 0.231932 + 0.0333467i 0.257301 0.966331i \(-0.417167\pi\)
−0.0253690 + 0.999678i \(0.508076\pi\)
\(564\) −1.50197 11.9998i −0.0632444 0.505281i
\(565\) −27.4356 + 27.3153i −1.15422 + 1.14916i
\(566\) −7.14266 8.24307i −0.300228 0.346482i
\(567\) −5.15670 0.377740i −0.216561 0.0158636i
\(568\) −6.37797 9.92432i −0.267614 0.416415i
\(569\) 0.643026 + 0.188810i 0.0269571 + 0.00791531i 0.295183 0.955441i \(-0.404619\pi\)
−0.268226 + 0.963356i \(0.586437\pi\)
\(570\) 2.31088 + 1.80490i 0.0967921 + 0.0755991i
\(571\) 1.67479 + 5.70380i 0.0700876 + 0.238696i 0.987085 0.160196i \(-0.0512127\pi\)
−0.916998 + 0.398893i \(0.869395\pi\)
\(572\) −7.48475 3.41817i −0.312953 0.142921i
\(573\) −6.13875 14.1195i −0.256450 0.589849i
\(574\) 0.523395i 0.0218461i
\(575\) 16.8853 17.0261i 0.704166 0.710036i
\(576\) 2.58136 1.52859i 0.107557 0.0636912i
\(577\) −2.33005 + 0.335011i −0.0970015 + 0.0139467i −0.190645 0.981659i \(-0.561058\pi\)
0.0936432 + 0.995606i \(0.470149\pi\)
\(578\) −0.384744 + 0.842472i −0.0160032 + 0.0350422i
\(579\) −14.7684 23.9309i −0.613755 0.994534i
\(580\) 6.12526 + 8.21997i 0.254338 + 0.341316i
\(581\) −1.76651 + 6.01617i −0.0732871 + 0.249593i
\(582\) −9.00638 + 10.0179i −0.373326 + 0.415255i
\(583\) −8.08718 + 3.69329i −0.334937 + 0.152960i
\(584\) −4.07875 + 3.53425i −0.168780 + 0.146248i
\(585\) 3.18404 12.3176i 0.131644 0.509271i
\(586\) 3.78289 + 0.543897i 0.156270 + 0.0224682i
\(587\) −0.0775637 + 0.539468i −0.00320140 + 0.0222662i −0.991360 0.131173i \(-0.958126\pi\)
0.988158 + 0.153439i \(0.0490348\pi\)
\(588\) −11.0234 3.45685i −0.454596 0.142558i
\(589\) −1.56423 + 1.35541i −0.0644529 + 0.0558488i
\(590\) 10.0204 2.15676i 0.412534 0.0887924i
\(591\) −17.3520 + 19.3008i −0.713767 + 0.793930i
\(592\) 0.687854 + 0.201972i 0.0282706 + 0.00830100i
\(593\) −18.9862 + 21.9112i −0.779670 + 0.899787i −0.997086 0.0762921i \(-0.975692\pi\)
0.217416 + 0.976079i \(0.430237\pi\)
\(594\) −10.4750 + 19.9624i −0.429795 + 0.819068i
\(595\) 4.34699 + 3.26904i 0.178209 + 0.134018i
\(596\) −3.05802 21.2690i −0.125261 0.871212i
\(597\) −6.88235 25.1296i −0.281676 1.02849i
\(598\) −5.51279 7.23454i −0.225435 0.295842i
\(599\) 41.0074i 1.67552i 0.546041 + 0.837758i \(0.316134\pi\)
−0.546041 + 0.837758i \(0.683866\pi\)
\(600\) 0.196351 8.65803i 0.00801601 0.353463i
\(601\) 4.61828 10.1126i 0.188383 0.412502i −0.791749 0.610847i \(-0.790829\pi\)
0.980132 + 0.198344i \(0.0635564\pi\)
\(602\) −2.54387 + 0.746949i −0.103681 + 0.0304434i
\(603\) −5.65491 + 31.1893i −0.230286 + 1.27013i
\(604\) −7.52116 2.20841i −0.306032 0.0898590i
\(605\) 16.4035 6.07716i 0.666897 0.247072i
\(606\) 19.0909 15.9408i 0.775516 0.647552i
\(607\) −8.31904 + 7.20849i −0.337659 + 0.292584i −0.807141 0.590359i \(-0.798986\pi\)
0.469482 + 0.882942i \(0.344441\pi\)
\(608\) 0.409315 0.636907i 0.0165999 0.0258300i
\(609\) −4.52653 + 0.566572i −0.183424 + 0.0229586i
\(610\) 9.04074 + 3.39467i 0.366049 + 0.137446i
\(611\) −7.15916 + 11.1399i −0.289629 + 0.450671i
\(612\) −4.02159 + 12.0483i −0.162563 + 0.487025i
\(613\) 1.45018 + 3.17544i 0.0585721 + 0.128255i 0.936655 0.350254i \(-0.113905\pi\)
−0.878083 + 0.478509i \(0.841177\pi\)
\(614\) −10.8342 16.8583i −0.437233 0.680347i
\(615\) 0.820466 3.43173i 0.0330844 0.138381i
\(616\) 1.63225 1.88372i 0.0657652 0.0758971i
\(617\) 11.5226 + 39.2424i 0.463883 + 1.57984i 0.776601 + 0.629993i \(0.216942\pi\)
−0.312718 + 0.949846i \(0.601239\pi\)
\(618\) −0.255190 + 1.57052i −0.0102652 + 0.0631755i
\(619\) −16.3081 + 2.34475i −0.655477 + 0.0942433i −0.462026 0.886867i \(-0.652877\pi\)
−0.193451 + 0.981110i \(0.561968\pi\)
\(620\) 5.97048 + 1.31254i 0.239780 + 0.0527130i
\(621\) −20.6191 + 13.9947i −0.827418 + 0.561587i
\(622\) 30.4598i 1.22133i
\(623\) −0.892438 6.20704i −0.0357548 0.248680i
\(624\) −3.24241 0.526852i −0.129800 0.0210910i
\(625\) −20.9117 13.7003i −0.836470 0.548013i
\(626\) 7.66085 8.84109i 0.306189 0.353361i
\(627\) −0.103996 + 5.68831i −0.00415321 + 0.227169i
\(628\) 1.46736 0.943017i 0.0585541 0.0376305i
\(629\) −2.76098 + 1.26090i −0.110088 + 0.0502753i
\(630\) 3.30836 + 1.97664i 0.131808 + 0.0787514i
\(631\) 1.99723 3.10775i 0.0795086 0.123718i −0.799222 0.601036i \(-0.794755\pi\)
0.878730 + 0.477318i \(0.158391\pi\)
\(632\) −9.38299 1.34907i −0.373235 0.0536632i
\(633\) −6.03989 48.2547i −0.240064 1.91795i
\(634\) −17.3033 11.1202i −0.687202 0.441638i
\(635\) 32.3593 17.5773i 1.28414 0.697534i
\(636\) −2.72444 + 2.27489i −0.108031 + 0.0902054i
\(637\) 6.83907 + 10.6418i 0.270974 + 0.421644i
\(638\) −5.60366 + 19.0843i −0.221851 + 0.755555i
\(639\) 34.8234 + 6.31380i 1.37759 + 0.249770i
\(640\) −2.23072 + 0.154619i −0.0881768 + 0.00611183i
\(641\) −10.9234 + 23.9190i −0.431450 + 0.944743i 0.561639 + 0.827382i \(0.310171\pi\)
−0.993089 + 0.117361i \(0.962556\pi\)
\(642\) 18.6642 8.11466i 0.736615 0.320260i
\(643\) 5.68433 0.224168 0.112084 0.993699i \(-0.464247\pi\)
0.112084 + 0.993699i \(0.464247\pi\)
\(644\) 2.57318 0.984873i 0.101397 0.0388094i
\(645\) −17.8503 + 0.909763i −0.702853 + 0.0358219i
\(646\) 0.456187 + 3.17285i 0.0179484 + 0.124834i
\(647\) 13.7095 30.0195i 0.538974 1.18019i −0.422769 0.906237i \(-0.638942\pi\)
0.961744 0.273951i \(-0.0883307\pi\)
\(648\) −1.92823 + 8.79101i −0.0757479 + 0.345344i
\(649\) 15.0300 + 13.0235i 0.589978 + 0.511219i
\(650\) −6.24134 + 7.13925i −0.244805 + 0.280025i
\(651\) −1.81874 + 2.02300i −0.0712819 + 0.0792876i
\(652\) 12.7231 5.81044i 0.498274 0.227554i
\(653\) −18.3593 21.1877i −0.718453 0.829139i 0.272667 0.962108i \(-0.412094\pi\)
−0.991120 + 0.132969i \(0.957549\pi\)
\(654\) 1.14187 3.64124i 0.0446505 0.142384i
\(655\) −9.69344 3.63974i −0.378754 0.142217i
\(656\) −0.901768 0.129655i −0.0352081 0.00506217i
\(657\) 0.591819 16.1800i 0.0230891 0.631244i
\(658\) −2.62681 3.03150i −0.102404 0.118180i
\(659\) −12.2381 26.7977i −0.476729 1.04389i −0.983350 0.181722i \(-0.941833\pi\)
0.506621 0.862169i \(-0.330894\pi\)
\(660\) 13.6550 9.79222i 0.531520 0.381162i
\(661\) 3.70112 12.6048i 0.143957 0.490272i −0.855672 0.517518i \(-0.826856\pi\)
0.999629 + 0.0272470i \(0.00867405\pi\)
\(662\) 13.2938 15.3419i 0.516678 0.596278i
\(663\) 11.8358 7.30420i 0.459664 0.283672i
\(664\) 9.92779 + 4.53387i 0.385273 + 0.175948i
\(665\) 0.969948 + 0.0715144i 0.0376130 + 0.00277321i
\(666\) −1.85056 + 1.09583i −0.0717077 + 0.0424627i
\(667\) −15.4133 + 15.6790i −0.596804 + 0.607092i
\(668\) −4.83355 −0.187016
\(669\) −7.85859 + 3.41670i −0.303831 + 0.132097i
\(670\) 14.2002 18.8826i 0.548600 0.729497i
\(671\) 5.27889 + 17.9782i 0.203789 + 0.694042i
\(672\) 0.429842 0.897437i 0.0165815 0.0346194i
\(673\) −1.70195 + 5.79630i −0.0656052 + 0.223431i −0.985770 0.168101i \(-0.946237\pi\)
0.920165 + 0.391532i \(0.128055\pi\)
\(674\) 16.1017 10.3479i 0.620214 0.398587i
\(675\) 18.5933 + 18.1463i 0.715656 + 0.698453i
\(676\) −6.15770 7.10637i −0.236835 0.273322i
\(677\) 20.1519 31.3569i 0.774500 1.20515i −0.199788 0.979839i \(-0.564025\pi\)
0.974288 0.225306i \(-0.0723382\pi\)
\(678\) −29.7562 + 3.72449i −1.14278 + 0.143038i
\(679\) −0.635898 + 4.42277i −0.0244035 + 0.169730i
\(680\) 6.70912 6.67971i 0.257283 0.256155i
\(681\) −2.72720 + 4.07774i −0.104506 + 0.156259i
\(682\) 4.92721 + 10.7891i 0.188673 + 0.413135i
\(683\) −26.2398 + 16.8633i −1.00404 + 0.645255i −0.935843 0.352417i \(-0.885360\pi\)
−0.0681933 + 0.997672i \(0.521723\pi\)
\(684\) 0.559807 + 2.20121i 0.0214048 + 0.0841653i
\(685\) −11.1501 14.9632i −0.426023 0.571715i
\(686\) −7.53530 + 2.21256i −0.287699 + 0.0844760i
\(687\) 33.9245 + 5.51231i 1.29430 + 0.210308i
\(688\) 0.656769 + 4.56793i 0.0250391 + 0.174151i
\(689\) 3.88643 0.148061
\(690\) 18.4153 2.42382i 0.701060 0.0922731i
\(691\) 23.5950 0.897594 0.448797 0.893634i \(-0.351853\pi\)
0.448797 + 0.893634i \(0.351853\pi\)
\(692\) 3.55519 + 24.7269i 0.135148 + 0.939974i
\(693\) 0.792912 + 7.43538i 0.0301202 + 0.282447i
\(694\) −19.5629 + 5.74418i −0.742596 + 0.218046i
\(695\) 4.92746 3.67178i 0.186909 0.139279i
\(696\) −0.145148 + 7.93920i −0.00550182 + 0.300935i
\(697\) 3.24496 2.08541i 0.122911 0.0789904i
\(698\) 3.92459 + 8.59366i 0.148548 + 0.325275i
\(699\) −8.82165 5.89993i −0.333666 0.223156i
\(700\) −1.54236 2.42331i −0.0582958 0.0915925i
\(701\) −2.27831 + 15.8460i −0.0860507 + 0.598496i 0.900477 + 0.434903i \(0.143217\pi\)
−0.986528 + 0.163593i \(0.947692\pi\)
\(702\) 7.79031 6.03558i 0.294026 0.227798i
\(703\) −0.293435 + 0.456594i −0.0110671 + 0.0172208i
\(704\) −2.84115 3.27887i −0.107080 0.123577i
\(705\) −12.4710 23.9943i −0.469684 0.903676i
\(706\) 0.286025 0.183817i 0.0107647 0.00691806i
\(707\) 2.32415 7.91532i 0.0874086 0.297686i
\(708\) 7.16056 + 3.42966i 0.269110 + 0.128895i
\(709\) 3.93294 + 13.3944i 0.147705 + 0.503036i 0.999793 0.0203625i \(-0.00648203\pi\)
−0.852088 + 0.523399i \(0.824664\pi\)
\(710\) −21.0827 15.8547i −0.791220 0.595017i
\(711\) 22.1587 17.8252i 0.831016 0.668496i
\(712\) −10.9153 −0.409069
\(713\) −0.823550 + 13.0851i −0.0308422 + 0.490043i
\(714\) 1.11286 + 4.06341i 0.0416478 + 0.152069i
\(715\) −18.3493 1.35290i −0.686225 0.0505954i
\(716\) 23.3717 + 10.6735i 0.873441 + 0.398887i
\(717\) −18.5513 30.0607i −0.692811 1.12264i
\(718\) 19.9323 23.0031i 0.743866 0.858467i
\(719\) −11.4827 + 39.1066i −0.428234 + 1.45843i 0.409479 + 0.912320i \(0.365711\pi\)
−0.837713 + 0.546111i \(0.816108\pi\)
\(720\) 4.22514 5.21039i 0.157462 0.194180i
\(721\) 0.219237 + 0.480063i 0.00816483 + 0.0178785i
\(722\) −12.0670 13.9261i −0.449087 0.518274i
\(723\) −5.53390 + 17.6468i −0.205808 + 0.656291i
\(724\) 7.92249 + 1.13908i 0.294437 + 0.0423337i
\(725\) 19.2289 + 12.4774i 0.714142 + 0.463398i
\(726\) 12.9292 + 4.05451i 0.479848 + 0.150477i
\(727\) −9.06946 10.4667i −0.336368 0.388189i 0.562217 0.826990i \(-0.309949\pi\)
−0.898584 + 0.438801i \(0.855403\pi\)
\(728\) −0.991113 + 0.452626i −0.0367331 + 0.0167754i
\(729\) −15.3414 22.2181i −0.568199 0.822891i
\(730\) −5.80681 + 10.5791i −0.214920 + 0.391549i
\(731\) −14.7667 12.7954i −0.546167 0.473256i
\(732\) 3.92846 + 6.36572i 0.145200 + 0.235284i
\(733\) 0.916145 2.00608i 0.0338386 0.0740962i −0.891958 0.452118i \(-0.850668\pi\)
0.925797 + 0.378022i \(0.123396\pi\)
\(734\) −3.68351 25.6194i −0.135961 0.945629i
\(735\) −25.7991 + 1.31489i −0.951614 + 0.0485003i
\(736\) −1.05943 4.67735i −0.0390512 0.172409i
\(737\) 45.8410 1.68858
\(738\) 2.12960 1.71312i 0.0783917 0.0630607i
\(739\) −8.91485 + 19.5208i −0.327938 + 0.718084i −0.999744 0.0226436i \(-0.992792\pi\)
0.671806 + 0.740727i \(0.265519\pi\)
\(740\) 1.59918 0.110845i 0.0587872 0.00407474i
\(741\) 1.07432 2.24299i 0.0394660 0.0823983i
\(742\) −0.331676 + 1.12958i −0.0121762 + 0.0414684i
\(743\) −17.5658 27.3330i −0.644428 1.00275i −0.997737 0.0672427i \(-0.978580\pi\)
0.353309 0.935507i \(-0.385057\pi\)
\(744\) 3.03493 + 3.63467i 0.111266 + 0.133254i
\(745\) −22.9342 42.2212i −0.840245 1.54686i
\(746\) 1.43767 + 0.923935i 0.0526369 + 0.0338277i
\(747\) −30.2606 + 12.5039i −1.10718 + 0.457492i
\(748\) 18.1822 + 2.61421i 0.664807 + 0.0955848i
\(749\) 3.64959 5.67887i 0.133353 0.207501i
\(750\) −6.31403 18.3066i −0.230556 0.668464i
\(751\) −29.0480 + 13.2658i −1.05998 + 0.484074i −0.867608 0.497249i \(-0.834344\pi\)
−0.192367 + 0.981323i \(0.561616\pi\)
\(752\) −5.87373 + 3.77482i −0.214193 + 0.137653i
\(753\) −53.3412 0.975207i −1.94386 0.0355385i
\(754\) 5.69382 6.57102i 0.207357 0.239302i
\(755\) −17.4859 + 1.21201i −0.636376 + 0.0441094i
\(756\) 1.08939 + 2.77933i 0.0396207 + 0.101083i
\(757\) 5.12196 + 35.6240i 0.186161 + 1.29478i 0.841835 + 0.539734i \(0.181475\pi\)
−0.655674 + 0.755044i \(0.727616\pi\)
\(758\) 16.1813i 0.587730i
\(759\) 25.2340 + 25.7302i 0.915936 + 0.933946i
\(760\) 0.363488 1.65343i 0.0131851 0.0599761i
\(761\) 19.8969 2.86075i 0.721263 0.103702i 0.228099 0.973638i \(-0.426749\pi\)
0.493165 + 0.869936i \(0.335840\pi\)
\(762\) 28.1553 + 4.57489i 1.01996 + 0.165731i
\(763\) −0.356604 1.21448i −0.0129099 0.0439672i
\(764\) −5.82106 + 6.71787i −0.210599 + 0.243044i
\(765\) 0.926933 + 28.3869i 0.0335133 + 1.02633i
\(766\) 14.8390 + 23.0900i 0.536155 + 0.834274i
\(767\) −3.61146 7.90799i −0.130402 0.285541i
\(768\) −1.43973 0.962896i −0.0519519 0.0347455i
\(769\) −26.3684 + 41.0300i −0.950869 + 1.47958i −0.0749124 + 0.997190i \(0.523868\pi\)
−0.875956 + 0.482390i \(0.839769\pi\)
\(770\) 1.95918 5.21773i 0.0706040 0.188034i
\(771\) 1.87796 + 15.0036i 0.0676330 + 0.540343i
\(772\) −8.77768 + 13.6583i −0.315916 + 0.491574i
\(773\) −32.9457 + 28.5476i −1.18498 + 1.02679i −0.185954 + 0.982558i \(0.559538\pi\)
−0.999021 + 0.0442290i \(0.985917\pi\)