Properties

Label 507.2.t.b.4.11
Level $507$
Weight $2$
Character 507.4
Analytic conductor $4.048$
Analytic rank $0$
Dimension $360$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 4.11
Character \(\chi\) \(=\) 507.4
Dual form 507.2.t.b.127.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.992569 + 0.0399992i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(-1.00992 - 0.0815293i) q^{4} +(-0.620050 - 0.235154i) q^{5} +(-0.314570 + 0.942252i) q^{6} +(1.02980 + 2.41704i) q^{7} +(-2.97142 - 0.360796i) q^{8} +(-0.845190 - 0.534466i) q^{9} +O(q^{10})\) \(q+(0.992569 + 0.0399992i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(-1.00992 - 0.0815293i) q^{4} +(-0.620050 - 0.235154i) q^{5} +(-0.314570 + 0.942252i) q^{6} +(1.02980 + 2.41704i) q^{7} +(-2.97142 - 0.360796i) q^{8} +(-0.845190 - 0.534466i) q^{9} +(-0.606036 - 0.258208i) q^{10} +(1.55666 + 2.46166i) q^{11} +(0.359288 - 0.947365i) q^{12} +(-3.60478 + 0.0747826i) q^{13} +(0.925470 + 2.44027i) q^{14} +(0.398378 - 0.530145i) q^{15} +(-0.934732 - 0.151909i) q^{16} +(0.0646290 - 0.0275358i) q^{17} +(-0.817531 - 0.564301i) q^{18} +(-5.66449 + 3.27039i) q^{19} +(0.607030 + 0.288039i) q^{20} +(-2.60812 + 0.316683i) q^{21} +(1.44663 + 2.50563i) q^{22} +(-3.99049 + 6.91173i) q^{23} +(1.17325 - 2.75372i) q^{24} +(-3.41339 - 3.02400i) q^{25} +(-3.58098 - 0.0699611i) q^{26} +(0.748511 - 0.663123i) q^{27} +(-0.842961 - 2.52498i) q^{28} +(0.0439904 - 1.09161i) q^{29} +(0.416623 - 0.510271i) q^{30} +(3.08701 + 3.48452i) q^{31} +(4.94379 + 1.00928i) q^{32} +(-2.79756 + 0.810323i) q^{33} +(0.0652501 - 0.0247461i) q^{34} +(-0.0701537 - 1.74085i) q^{35} +(0.810001 + 0.608677i) q^{36} +(5.57663 - 1.13848i) q^{37} +(-5.75320 + 3.01951i) q^{38} +(0.931081 - 3.48326i) q^{39} +(1.75759 + 0.922452i) q^{40} +(3.72916 + 1.08016i) q^{41} +(-2.60140 + 0.210007i) q^{42} +(0.0239107 - 0.117122i) q^{43} +(-1.37141 - 2.61300i) q^{44} +(0.398378 + 0.530145i) q^{45} +(-4.23730 + 6.70075i) q^{46} +(2.25848 - 1.55892i) q^{47} +(0.405970 - 0.855564i) q^{48} +(0.0675030 - 0.0702781i) q^{49} +(-3.26707 - 3.13806i) q^{50} +(0.00846775 + 0.0697382i) q^{51} +(3.64664 + 0.218370i) q^{52} +(0.332216 - 2.73604i) q^{53} +(0.769473 - 0.628255i) q^{54} +(-0.386338 - 1.89241i) q^{55} +(-2.18792 - 7.55357i) q^{56} +(-1.56531 - 6.35072i) q^{57} +(0.0873271 - 1.08174i) q^{58} +(2.03239 + 12.5058i) q^{59} +(-0.445553 + 0.502926i) q^{60} +(4.57816 - 3.44026i) q^{61} +(2.92470 + 3.58210i) q^{62} +(0.421444 - 2.59325i) q^{63} +(6.70564 + 1.65279i) q^{64} +(2.25273 + 0.801308i) q^{65} +(-2.80918 + 0.692402i) q^{66} +(-0.338613 - 4.19447i) q^{67} +(-0.0675152 + 0.0225399i) q^{68} +(-5.52862 - 5.75590i) q^{69} -1.73071i q^{70} +(2.03517 - 1.95481i) q^{71} +(2.31858 + 1.89306i) q^{72} +(0.0695838 - 0.132581i) q^{73} +(5.58073 - 0.906957i) q^{74} +(3.85427 - 2.43729i) q^{75} +(5.98732 - 2.84102i) q^{76} +(-4.34687 + 6.29753i) q^{77} +(1.06349 - 3.42013i) q^{78} +(-2.14011 - 3.10048i) q^{79} +(0.543859 + 0.313997i) q^{80} +(0.428693 + 0.903450i) q^{81} +(3.65824 + 1.22130i) q^{82} +(-0.951144 + 3.85894i) q^{83} +(2.65981 - 0.107187i) q^{84} +(-0.0465483 + 0.00187583i) q^{85} +(0.0284178 - 0.115295i) q^{86} +(1.03627 + 0.345959i) q^{87} +(-3.73733 - 7.87626i) q^{88} +(9.78311 + 5.64828i) q^{89} +(0.374213 + 0.542141i) q^{90} +(-3.89296 - 8.63586i) q^{91} +(4.59359 - 6.65497i) q^{92} +(-4.20580 + 1.99568i) q^{93} +(2.30405 - 1.45700i) q^{94} +(4.28131 - 0.695781i) q^{95} +(-2.34488 + 4.46780i) q^{96} +(-14.5015 - 11.8401i) q^{97} +(0.0698124 - 0.0670558i) q^{98} -2.91255i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + O(q^{10}) \) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + 6q^{11} - 28q^{12} + 6q^{13} + 4q^{14} - 6q^{15} + 20q^{16} - 6q^{19} - 12q^{20} - 28q^{22} + 46q^{23} - 6q^{25} - 39q^{26} + 30q^{27} - 6q^{28} + 43q^{29} + 26q^{31} - 195q^{32} + 19q^{33} + 65q^{34} + 84q^{35} - 14q^{36} - 65q^{38} - 2q^{39} + 12q^{41} - 128q^{42} + 83q^{43} - 39q^{44} - 6q^{45} - 20q^{48} + 72q^{49} - 52q^{50} - 55q^{52} + 49q^{53} - 49q^{55} - 2q^{56} + 26q^{57} + 26q^{58} - 202q^{59} - 182q^{60} - 3q^{61} - 65q^{62} - 3q^{63} - 14q^{64} - 58q^{65} + 48q^{66} - 41q^{67} + 139q^{68} + 6q^{69} - 60q^{71} - 52q^{73} - 269q^{74} + 23q^{75} - 14q^{76} + 70q^{77} - 65q^{78} + 18q^{79} + 492q^{80} + 15q^{81} - 65q^{82} + 78q^{83} - 6q^{84} - 91q^{85} - 169q^{86} + 48q^{87} - 522q^{88} - 12q^{89} + 373q^{91} + 72q^{92} - 3q^{93} - 13q^{94} - 110q^{95} + 65q^{96} - 121q^{97} - 104q^{98} + O(q^{100}) \)

Character values

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

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

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.992569 + 0.0399992i 0.701852 + 0.0282837i 0.388627 0.921395i \(-0.372950\pi\)
0.313225 + 0.949679i \(0.398591\pi\)
\(3\) −0.278217 + 0.960518i −0.160629 + 0.554555i
\(4\) −1.00992 0.0815293i −0.504961 0.0407647i
\(5\) −0.620050 0.235154i −0.277295 0.105164i 0.212037 0.977262i \(-0.431990\pi\)
−0.489332 + 0.872098i \(0.662759\pi\)
\(6\) −0.314570 + 0.942252i −0.128423 + 0.384673i
\(7\) 1.02980 + 2.41704i 0.389229 + 0.913554i 0.993186 + 0.116537i \(0.0371794\pi\)
−0.603958 + 0.797016i \(0.706410\pi\)
\(8\) −2.97142 0.360796i −1.05056 0.127560i
\(9\) −0.845190 0.534466i −0.281730 0.178155i
\(10\) −0.606036 0.258208i −0.191646 0.0816525i
\(11\) 1.55666 + 2.46166i 0.469351 + 0.742219i 0.994033 0.109079i \(-0.0347902\pi\)
−0.524682 + 0.851298i \(0.675816\pi\)
\(12\) 0.359288 0.947365i 0.103718 0.273481i
\(13\) −3.60478 + 0.0747826i −0.999785 + 0.0207410i
\(14\) 0.925470 + 2.44027i 0.247342 + 0.652188i
\(15\) 0.398378 0.530145i 0.102861 0.136883i
\(16\) −0.934732 0.151909i −0.233683 0.0379772i
\(17\) 0.0646290 0.0275358i 0.0156748 0.00667842i −0.384115 0.923285i \(-0.625493\pi\)
0.399790 + 0.916607i \(0.369083\pi\)
\(18\) −0.817531 0.564301i −0.192694 0.133007i
\(19\) −5.66449 + 3.27039i −1.29952 + 0.750279i −0.980321 0.197408i \(-0.936748\pi\)
−0.319201 + 0.947687i \(0.603414\pi\)
\(20\) 0.607030 + 0.288039i 0.135736 + 0.0644076i
\(21\) −2.60812 + 0.316683i −0.569137 + 0.0691058i
\(22\) 1.44663 + 2.50563i 0.308422 + 0.534203i
\(23\) −3.99049 + 6.91173i −0.832075 + 1.44120i 0.0643152 + 0.997930i \(0.479514\pi\)
−0.896390 + 0.443266i \(0.853820\pi\)
\(24\) 1.17325 2.75372i 0.239489 0.562101i
\(25\) −3.41339 3.02400i −0.682678 0.604800i
\(26\) −3.58098 0.0699611i −0.702288 0.0137205i
\(27\) 0.748511 0.663123i 0.144051 0.127618i
\(28\) −0.842961 2.52498i −0.159305 0.477176i
\(29\) 0.0439904 1.09161i 0.00816882 0.202707i −0.989951 0.141412i \(-0.954836\pi\)
0.998120 0.0612953i \(-0.0195231\pi\)
\(30\) 0.416623 0.510271i 0.0760647 0.0931623i
\(31\) 3.08701 + 3.48452i 0.554444 + 0.625838i 0.957185 0.289476i \(-0.0934810\pi\)
−0.402741 + 0.915314i \(0.631943\pi\)
\(32\) 4.94379 + 1.00928i 0.873947 + 0.178418i
\(33\) −2.79756 + 0.810323i −0.486993 + 0.141059i
\(34\) 0.0652501 0.0247461i 0.0111903 0.00424392i
\(35\) −0.0701537 1.74085i −0.0118581 0.294257i
\(36\) 0.810001 + 0.608677i 0.135000 + 0.101446i
\(37\) 5.57663 1.13848i 0.916793 0.187165i 0.281612 0.959528i \(-0.409131\pi\)
0.635181 + 0.772364i \(0.280926\pi\)
\(38\) −5.75320 + 3.01951i −0.933293 + 0.489830i
\(39\) 0.931081 3.48326i 0.149092 0.557768i
\(40\) 1.75759 + 0.922452i 0.277899 + 0.145853i
\(41\) 3.72916 + 1.08016i 0.582397 + 0.168693i 0.556322 0.830967i \(-0.312212\pi\)
0.0260747 + 0.999660i \(0.491699\pi\)
\(42\) −2.60140 + 0.210007i −0.401405 + 0.0324048i
\(43\) 0.0239107 0.117122i 0.00364634 0.0178610i −0.977927 0.208948i \(-0.932996\pi\)
0.981573 + 0.191087i \(0.0612012\pi\)
\(44\) −1.37141 2.61300i −0.206748 0.393925i
\(45\) 0.398378 + 0.530145i 0.0593867 + 0.0790294i
\(46\) −4.23730 + 6.70075i −0.624756 + 0.987972i
\(47\) 2.25848 1.55892i 0.329433 0.227391i −0.391854 0.920027i \(-0.628166\pi\)
0.721287 + 0.692636i \(0.243551\pi\)
\(48\) 0.405970 0.855564i 0.0585967 0.123490i
\(49\) 0.0675030 0.0702781i 0.00964329 0.0100397i
\(50\) −3.26707 3.13806i −0.462033 0.443789i
\(51\) 0.00846775 + 0.0697382i 0.00118572 + 0.00976531i
\(52\) 3.64664 + 0.218370i 0.505698 + 0.0302825i
\(53\) 0.332216 2.73604i 0.0456334 0.375824i −0.951945 0.306270i \(-0.900919\pi\)
0.997578 0.0695548i \(-0.0221579\pi\)
\(54\) 0.769473 0.628255i 0.104712 0.0854947i
\(55\) −0.386338 1.89241i −0.0520938 0.255172i
\(56\) −2.18792 7.55357i −0.292373 1.00939i
\(57\) −1.56531 6.35072i −0.207331 0.841174i
\(58\) 0.0873271 1.08174i 0.0114666 0.142039i
\(59\) 2.03239 + 12.5058i 0.264595 + 1.62812i 0.690488 + 0.723344i \(0.257396\pi\)
−0.425893 + 0.904774i \(0.640040\pi\)
\(60\) −0.445553 + 0.502926i −0.0575207 + 0.0649275i
\(61\) 4.57816 3.44026i 0.586173 0.440481i −0.265828 0.964020i \(-0.585645\pi\)
0.852001 + 0.523540i \(0.175389\pi\)
\(62\) 2.92470 + 3.58210i 0.371437 + 0.454927i
\(63\) 0.421444 2.59325i 0.0530969 0.326719i
\(64\) 6.70564 + 1.65279i 0.838205 + 0.206599i
\(65\) 2.25273 + 0.801308i 0.279416 + 0.0993901i
\(66\) −2.80918 + 0.692402i −0.345787 + 0.0852287i
\(67\) −0.338613 4.19447i −0.0413682 0.512437i −0.983948 0.178456i \(-0.942890\pi\)
0.942580 0.333981i \(-0.108392\pi\)
\(68\) −0.0675152 + 0.0225399i −0.00818742 + 0.00273336i
\(69\) −5.52862 5.75590i −0.665568 0.692929i
\(70\) 1.73071i 0.206860i
\(71\) 2.03517 1.95481i 0.241530 0.231993i −0.562178 0.827016i \(-0.690037\pi\)
0.803709 + 0.595023i \(0.202857\pi\)
\(72\) 2.31858 + 1.89306i 0.273247 + 0.223100i
\(73\) 0.0695838 0.132581i 0.00814416 0.0155174i −0.881350 0.472464i \(-0.843365\pi\)
0.889494 + 0.456947i \(0.151057\pi\)
\(74\) 5.58073 0.906957i 0.648747 0.105432i
\(75\) 3.85427 2.43729i 0.445053 0.281434i
\(76\) 5.98732 2.84102i 0.686793 0.325887i
\(77\) −4.34687 + 6.29753i −0.495372 + 0.717670i
\(78\) 1.06349 3.42013i 0.120416 0.387254i
\(79\) −2.14011 3.10048i −0.240781 0.348831i 0.683899 0.729577i \(-0.260283\pi\)
−0.924680 + 0.380745i \(0.875667\pi\)
\(80\) 0.543859 + 0.313997i 0.0608053 + 0.0351059i
\(81\) 0.428693 + 0.903450i 0.0476325 + 0.100383i
\(82\) 3.65824 + 1.22130i 0.403985 + 0.134870i
\(83\) −0.951144 + 3.85894i −0.104402 + 0.423574i −0.999763 0.0217661i \(-0.993071\pi\)
0.895361 + 0.445340i \(0.146917\pi\)
\(84\) 2.65981 0.107187i 0.290209 0.0116950i
\(85\) −0.0465483 + 0.00187583i −0.00504888 + 0.000203463i
\(86\) 0.0284178 0.115295i 0.00306437 0.0124326i
\(87\) 1.03627 + 0.345959i 0.111100 + 0.0370907i
\(88\) −3.73733 7.87626i −0.398401 0.839613i
\(89\) 9.78311 + 5.64828i 1.03701 + 0.598717i 0.918984 0.394294i \(-0.129011\pi\)
0.118023 + 0.993011i \(0.462344\pi\)
\(90\) 0.374213 + 0.542141i 0.0394455 + 0.0571466i
\(91\) −3.89296 8.63586i −0.408093 0.905284i
\(92\) 4.59359 6.65497i 0.478915 0.693828i
\(93\) −4.20580 + 1.99568i −0.436122 + 0.206942i
\(94\) 2.30405 1.45700i 0.237645 0.150278i
\(95\) 4.28131 0.695781i 0.439253 0.0713856i
\(96\) −2.34488 + 4.46780i −0.239324 + 0.455993i
\(97\) −14.5015 11.8401i −1.47240 1.20218i −0.932871 0.360211i \(-0.882705\pi\)
−0.539530 0.841966i \(-0.681398\pi\)
\(98\) 0.0698124 0.0670558i 0.00705212 0.00677365i
\(99\) 2.91255i 0.292723i
\(100\) 3.20071 + 3.33229i 0.320071 + 0.333229i
\(101\) −1.45537 + 0.485872i −0.144814 + 0.0483461i −0.388151 0.921596i \(-0.626886\pi\)
0.243337 + 0.969942i \(0.421758\pi\)
\(102\) 0.00561536 + 0.0695587i 0.000556003 + 0.00688734i
\(103\) 6.68561 1.64785i 0.658753 0.162368i 0.104252 0.994551i \(-0.466755\pi\)
0.554501 + 0.832183i \(0.312909\pi\)
\(104\) 10.7383 + 1.07838i 1.05297 + 0.105744i
\(105\) 1.69163 + 0.416950i 0.165086 + 0.0406901i
\(106\) 0.439186 2.70242i 0.0426576 0.262482i
\(107\) 6.57404 + 8.05174i 0.635537 + 0.778391i 0.987499 0.157623i \(-0.0503830\pi\)
−0.351963 + 0.936014i \(0.614486\pi\)
\(108\) −0.810001 + 0.608677i −0.0779424 + 0.0585699i
\(109\) −7.92468 + 8.94511i −0.759046 + 0.856786i −0.993321 0.115384i \(-0.963190\pi\)
0.234275 + 0.972170i \(0.424729\pi\)
\(110\) −0.307772 1.89380i −0.0293449 0.180567i
\(111\) −0.457988 + 5.67320i −0.0434703 + 0.538477i
\(112\) −0.595421 2.41572i −0.0562620 0.228264i
\(113\) 5.64557 + 19.4908i 0.531090 + 1.83354i 0.552131 + 0.833757i \(0.313815\pi\)
−0.0210412 + 0.999779i \(0.506698\pi\)
\(114\) −1.29966 6.36614i −0.121724 0.596243i
\(115\) 4.09963 3.34724i 0.382292 0.312132i
\(116\) −0.133425 + 1.09886i −0.0123882 + 0.102026i
\(117\) 3.08669 + 1.86342i 0.285365 + 0.172274i
\(118\) 1.51707 + 12.4942i 0.139657 + 1.15018i
\(119\) 0.133110 + 0.127854i 0.0122022 + 0.0117204i
\(120\) −1.37502 + 1.43155i −0.125522 + 0.130682i
\(121\) 1.07903 2.27401i 0.0980938 0.206728i
\(122\) 4.68175 3.23158i 0.423865 0.292573i
\(123\) −2.07503 + 3.28140i −0.187100 + 0.295874i
\(124\) −2.83355 3.77077i −0.254461 0.338626i
\(125\) 2.94626 + 5.61363i 0.263521 + 0.502098i
\(126\) 0.522040 2.55712i 0.0465070 0.227806i
\(127\) −6.26926 + 0.506107i −0.556307 + 0.0449097i −0.355423 0.934705i \(-0.615663\pi\)
−0.200883 + 0.979615i \(0.564381\pi\)
\(128\) −3.10340 0.898910i −0.274304 0.0794532i
\(129\) 0.105846 + 0.0555520i 0.00931918 + 0.00489109i
\(130\) 2.20393 + 0.885461i 0.193298 + 0.0776600i
\(131\) −4.74789 + 2.49189i −0.414825 + 0.217717i −0.659206 0.751962i \(-0.729108\pi\)
0.244381 + 0.969679i \(0.421415\pi\)
\(132\) 2.89138 0.590280i 0.251663 0.0513773i
\(133\) −13.7380 10.3234i −1.19123 0.895153i
\(134\) −0.168321 4.17685i −0.0145407 0.360825i
\(135\) −0.620050 + 0.235154i −0.0533654 + 0.0202388i
\(136\) −0.201975 + 0.0585026i −0.0173192 + 0.00501656i
\(137\) 7.02733 + 1.43464i 0.600386 + 0.122570i 0.490599 0.871386i \(-0.336778\pi\)
0.109787 + 0.993955i \(0.464983\pi\)
\(138\) −5.25730 5.93427i −0.447531 0.505159i
\(139\) −2.33620 + 2.86132i −0.198154 + 0.242694i −0.864118 0.503290i \(-0.832123\pi\)
0.665964 + 0.745984i \(0.268020\pi\)
\(140\) −0.0710802 + 1.76384i −0.00600737 + 0.149071i
\(141\) 0.869019 + 2.60303i 0.0731846 + 0.219215i
\(142\) 2.09824 1.85888i 0.176080 0.155993i
\(143\) −5.79550 8.75733i −0.484644 0.732324i
\(144\) 0.708837 + 0.627974i 0.0590697 + 0.0523312i
\(145\) −0.283973 + 0.666509i −0.0235827 + 0.0553506i
\(146\) 0.0743698 0.128812i 0.00615489 0.0106606i
\(147\) 0.0487228 + 0.0843905i 0.00401859 + 0.00696041i
\(148\) −5.72478 + 0.695115i −0.470574 + 0.0571381i
\(149\) −8.54961 4.05684i −0.700412 0.332350i 0.0449691 0.998988i \(-0.485681\pi\)
−0.745381 + 0.666639i \(0.767732\pi\)
\(150\) 3.92312 2.26501i 0.320321 0.184938i
\(151\) −2.87137 1.98197i −0.233669 0.161290i 0.445477 0.895294i \(-0.353034\pi\)
−0.679146 + 0.734003i \(0.737650\pi\)
\(152\) 18.0115 7.67398i 1.46093 0.622442i
\(153\) −0.0693407 0.0112690i −0.00560586 0.000911042i
\(154\) −4.56646 + 6.07686i −0.367976 + 0.489687i
\(155\) −1.09470 2.88650i −0.0879288 0.231849i
\(156\) −1.22431 + 3.44191i −0.0980230 + 0.275573i
\(157\) −2.66526 + 7.02771i −0.212711 + 0.560872i −0.998326 0.0578434i \(-0.981578\pi\)
0.785615 + 0.618716i \(0.212347\pi\)
\(158\) −2.00019 3.16304i −0.159126 0.251638i
\(159\) 2.53559 + 1.08031i 0.201085 + 0.0856745i
\(160\) −2.82806 1.78836i −0.223578 0.141382i
\(161\) −20.8153 2.52744i −1.64048 0.199190i
\(162\) 0.389370 + 0.913884i 0.0305918 + 0.0718015i
\(163\) 4.60113 13.7821i 0.360388 1.07950i −0.599802 0.800149i \(-0.704754\pi\)
0.960190 0.279347i \(-0.0901178\pi\)
\(164\) −3.67809 1.39492i −0.287211 0.108925i
\(165\) 1.92518 + 0.155416i 0.149875 + 0.0120992i
\(166\) −1.09843 + 3.79222i −0.0852547 + 0.294333i
\(167\) 6.32972 + 0.255079i 0.489808 + 0.0197386i 0.283942 0.958841i \(-0.408358\pi\)
0.205866 + 0.978580i \(0.433999\pi\)
\(168\) 7.86406 0.606725
\(169\) 12.9888 0.539149i 0.999140 0.0414730i
\(170\) −0.0462775 −0.00354932
\(171\) 6.53548 + 0.263371i 0.499781 + 0.0201405i
\(172\) −0.0336968 + 0.116335i −0.00256936 + 0.00887045i
\(173\) −21.8184 1.76136i −1.65882 0.133914i −0.784782 0.619772i \(-0.787225\pi\)
−0.874037 + 0.485859i \(0.838507\pi\)
\(174\) 1.01473 + 0.384838i 0.0769268 + 0.0291745i
\(175\) 3.79400 11.3644i 0.286799 0.859068i
\(176\) −1.08111 2.53747i −0.0814920 0.191269i
\(177\) −12.5775 1.52719i −0.945383 0.114790i
\(178\) 9.48448 + 5.99762i 0.710892 + 0.449541i
\(179\) 5.13461 + 2.18765i 0.383779 + 0.163513i 0.575235 0.817988i \(-0.304911\pi\)
−0.191456 + 0.981501i \(0.561321\pi\)
\(180\) −0.359109 0.567885i −0.0267664 0.0423276i
\(181\) −8.79165 + 23.1817i −0.653478 + 1.72308i 0.0365848 + 0.999331i \(0.488352\pi\)
−0.690063 + 0.723749i \(0.742417\pi\)
\(182\) −3.51860 8.72740i −0.260816 0.646918i
\(183\) 2.03071 + 5.35455i 0.150115 + 0.395819i
\(184\) 14.3511 19.0979i 1.05798 1.40792i
\(185\) −3.72551 0.605454i −0.273905 0.0445139i
\(186\) −4.25438 + 1.81262i −0.311946 + 0.132908i
\(187\) 0.168389 + 0.116231i 0.0123138 + 0.00849963i
\(188\) −2.40799 + 1.39025i −0.175621 + 0.101395i
\(189\) 2.37361 + 1.12629i 0.172655 + 0.0819257i
\(190\) 4.27733 0.519361i 0.310310 0.0376784i
\(191\) 10.5088 + 18.2018i 0.760389 + 1.31703i 0.942650 + 0.333783i \(0.108325\pi\)
−0.182261 + 0.983250i \(0.558341\pi\)
\(192\) −3.45316 + 5.98105i −0.249211 + 0.431645i
\(193\) 9.89189 23.2171i 0.712034 1.67121i −0.0288602 0.999583i \(-0.509188\pi\)
0.740894 0.671622i \(-0.234402\pi\)
\(194\) −13.9201 12.3321i −0.999405 0.885396i
\(195\) −1.39642 + 1.94085i −0.0999996 + 0.138987i
\(196\) −0.0739025 + 0.0654719i −0.00527875 + 0.00467656i
\(197\) −3.96291 11.8704i −0.282345 0.845728i −0.990235 0.139405i \(-0.955481\pi\)
0.707890 0.706323i \(-0.249647\pi\)
\(198\) 0.116500 2.89091i 0.00827927 0.205448i
\(199\) 9.65077 11.8200i 0.684125 0.837901i −0.309469 0.950909i \(-0.600151\pi\)
0.993594 + 0.113009i \(0.0360488\pi\)
\(200\) 9.05156 + 10.2171i 0.640042 + 0.722458i
\(201\) 4.12308 + 0.841732i 0.290819 + 0.0593712i
\(202\) −1.46398 + 0.424048i −0.103006 + 0.0298359i
\(203\) 2.68376 1.01782i 0.188363 0.0714368i
\(204\) −0.00286606 0.0711205i −0.000200664 0.00497943i
\(205\) −2.05826 1.54668i −0.143755 0.108025i
\(206\) 6.70184 1.36819i 0.466939 0.0953263i
\(207\) 7.06681 3.70895i 0.491177 0.257790i
\(208\) 3.38086 + 0.477695i 0.234421 + 0.0331222i
\(209\) −16.8683 8.85316i −1.16680 0.612386i
\(210\) 1.66238 + 0.481515i 0.114715 + 0.0332277i
\(211\) −3.02030 + 0.243824i −0.207926 + 0.0167855i −0.183991 0.982928i \(-0.558902\pi\)
−0.0239353 + 0.999714i \(0.507620\pi\)
\(212\) −0.558580 + 2.73610i −0.0383634 + 0.187916i
\(213\) 1.31141 + 2.49868i 0.0898562 + 0.171207i
\(214\) 6.20313 + 8.25486i 0.424037 + 0.564291i
\(215\) −0.0423675 + 0.0669989i −0.00288944 + 0.00456929i
\(216\) −2.46339 + 1.70036i −0.167613 + 0.115695i
\(217\) −5.24319 + 11.0498i −0.355931 + 0.750109i
\(218\) −8.22358 + 8.56166i −0.556971 + 0.579869i
\(219\) 0.107987 + 0.103723i 0.00729707 + 0.00700893i
\(220\) 0.235884 + 1.94268i 0.0159033 + 0.130976i
\(221\) −0.230914 + 0.104094i −0.0155329 + 0.00700209i
\(222\) −0.681508 + 5.61272i −0.0457398 + 0.376701i
\(223\) −19.0464 + 15.5509i −1.27544 + 1.04137i −0.278726 + 0.960371i \(0.589912\pi\)
−0.996715 + 0.0809947i \(0.974190\pi\)
\(224\) 2.65166 + 12.9887i 0.177171 + 0.867843i
\(225\) 1.26874 + 4.38019i 0.0845826 + 0.292013i
\(226\) 4.82400 + 19.5717i 0.320888 + 1.30189i
\(227\) 1.12645 13.9536i 0.0747651 0.926133i −0.845281 0.534322i \(-0.820567\pi\)
0.920046 0.391810i \(-0.128151\pi\)
\(228\) 1.06307 + 6.54135i 0.0704037 + 0.433212i
\(229\) −18.0316 + 20.3534i −1.19156 + 1.34499i −0.267121 + 0.963663i \(0.586072\pi\)
−0.924439 + 0.381330i \(0.875466\pi\)
\(230\) 4.20305 3.15838i 0.277141 0.208258i
\(231\) −4.83952 5.92733i −0.318417 0.389990i
\(232\) −0.524563 + 3.22776i −0.0344392 + 0.211913i
\(233\) 7.01723 + 1.72959i 0.459714 + 0.113309i 0.462370 0.886687i \(-0.346999\pi\)
−0.00265577 + 0.999996i \(0.500845\pi\)
\(234\) 2.98922 + 1.97304i 0.195411 + 0.128982i
\(235\) −1.76696 + 0.435516i −0.115264 + 0.0284099i
\(236\) −1.03297 12.7956i −0.0672404 0.832922i
\(237\) 3.57348 1.19300i 0.232123 0.0774939i
\(238\) 0.127007 + 0.132228i 0.00823264 + 0.00857108i
\(239\) 22.6744i 1.46669i 0.679858 + 0.733344i \(0.262041\pi\)
−0.679858 + 0.733344i \(0.737959\pi\)
\(240\) −0.452911 + 0.435027i −0.0292353 + 0.0280809i
\(241\) 15.0011 + 12.2480i 0.966304 + 0.788963i 0.977492 0.210974i \(-0.0676637\pi\)
−0.0111873 + 0.999937i \(0.503561\pi\)
\(242\) 1.16197 2.21395i 0.0746944 0.142318i
\(243\) −0.987050 + 0.160411i −0.0633193 + 0.0102904i
\(244\) −4.90407 + 3.10114i −0.313951 + 0.198530i
\(245\) −0.0583814 + 0.0277023i −0.00372985 + 0.00176984i
\(246\) −2.19087 + 3.17402i −0.139685 + 0.202368i
\(247\) 20.1746 12.2126i 1.28368 0.777071i
\(248\) −7.91561 11.4677i −0.502642 0.728203i
\(249\) −3.44196 1.98722i −0.218125 0.125935i
\(250\) 2.69982 + 5.68976i 0.170752 + 0.359852i
\(251\) −14.5175 4.84666i −0.916337 0.305918i −0.180892 0.983503i \(-0.557899\pi\)
−0.735445 + 0.677585i \(0.763027\pi\)
\(252\) −0.637051 + 2.58462i −0.0401305 + 0.162816i
\(253\) −23.2262 + 0.935983i −1.46022 + 0.0588448i
\(254\) −6.24291 + 0.251581i −0.391715 + 0.0157856i
\(255\) 0.0111488 0.0452324i 0.000698164 0.00283256i
\(256\) −16.1462 5.39039i −1.00914 0.336899i
\(257\) 7.38067 + 15.5544i 0.460394 + 0.970259i 0.992346 + 0.123485i \(0.0394071\pi\)
−0.531953 + 0.846774i \(0.678542\pi\)
\(258\) 0.102837 + 0.0593730i 0.00640235 + 0.00369640i
\(259\) 8.49457 + 12.3065i 0.527827 + 0.764690i
\(260\) −2.20975 0.992922i −0.137043 0.0615784i
\(261\) −0.620609 + 0.899108i −0.0384147 + 0.0556534i
\(262\) −4.81228 + 2.28346i −0.297304 + 0.141072i
\(263\) 19.5336 12.3523i 1.20449 0.761674i 0.227257 0.973835i \(-0.427024\pi\)
0.977235 + 0.212161i \(0.0680500\pi\)
\(264\) 8.60509 1.39846i 0.529606 0.0860694i
\(265\) −0.849382 + 1.61836i −0.0521771 + 0.0994152i
\(266\) −13.2229 10.7962i −0.810750 0.661957i
\(267\) −8.14711 + 7.82540i −0.498595 + 0.478907i
\(268\) 4.26370i 0.260447i
\(269\) 1.18054 + 1.22907i 0.0719789 + 0.0749380i 0.756218 0.654320i \(-0.227045\pi\)
−0.684239 + 0.729258i \(0.739865\pi\)
\(270\) −0.624848 + 0.208605i −0.0380271 + 0.0126953i
\(271\) −0.957897 11.8657i −0.0581881 0.720789i −0.958417 0.285372i \(-0.907883\pi\)
0.900229 0.435417i \(-0.143399\pi\)
\(272\) −0.0645937 + 0.0159209i −0.00391657 + 0.000965348i
\(273\) 9.37799 1.33661i 0.567582 0.0808954i
\(274\) 6.91773 + 1.70507i 0.417915 + 0.103007i
\(275\) 2.13057 13.1099i 0.128478 0.790560i
\(276\) 5.11420 + 6.26376i 0.307839 + 0.377034i
\(277\) 10.9926 8.26038i 0.660480 0.496318i −0.216851 0.976205i \(-0.569579\pi\)
0.877331 + 0.479886i \(0.159322\pi\)
\(278\) −2.43329 + 2.74661i −0.145939 + 0.164731i
\(279\) −0.746758 4.59498i −0.0447072 0.275095i
\(280\) −0.419633 + 5.19809i −0.0250779 + 0.310645i
\(281\) 1.80718 + 7.33203i 0.107808 + 0.437392i 0.999895 0.0144698i \(-0.00460603\pi\)
−0.892088 + 0.451862i \(0.850760\pi\)
\(282\) 0.758442 + 2.61845i 0.0451646 + 0.155926i
\(283\) −4.96979 24.3437i −0.295423 1.44708i −0.808378 0.588664i \(-0.799654\pi\)
0.512954 0.858416i \(-0.328551\pi\)
\(284\) −2.21474 + 1.80828i −0.131420 + 0.107302i
\(285\) −0.522825 + 4.30585i −0.0309695 + 0.255057i
\(286\) −5.40215 8.92406i −0.319436 0.527691i
\(287\) 1.22950 + 10.1259i 0.0725753 + 0.597711i
\(288\) −3.63902 3.49532i −0.214431 0.205964i
\(289\) −11.7729 + 12.2569i −0.692523 + 0.720993i
\(290\) −0.308523 + 0.650197i −0.0181171 + 0.0381809i
\(291\) 15.4072 10.6348i 0.903184 0.623423i
\(292\) −0.0810834 + 0.128223i −0.00474505 + 0.00750369i
\(293\) 2.00204 + 2.66423i 0.116960 + 0.155646i 0.854126 0.520066i \(-0.174093\pi\)
−0.737166 + 0.675712i \(0.763836\pi\)
\(294\) 0.0449852 + 0.0857122i 0.00262359 + 0.00499884i
\(295\) 1.68061 8.23215i 0.0978487 0.479294i
\(296\) −16.9813 + 1.37087i −0.987016 + 0.0796802i
\(297\) 2.79756 + 0.810323i 0.162331 + 0.0470197i
\(298\) −8.32381 4.36867i −0.482185 0.253070i
\(299\) 13.8679 25.2137i 0.802004 1.45814i
\(300\) −4.09122 + 2.14724i −0.236207 + 0.123971i
\(301\) 0.307712 0.0628198i 0.0177362 0.00362087i
\(302\) −2.77076 2.08209i −0.159439 0.119811i
\(303\) −0.0617811 1.53308i −0.00354923 0.0880733i
\(304\) 5.79158 2.19646i 0.332170 0.125975i
\(305\) −3.64768 + 1.05656i −0.208866 + 0.0604986i
\(306\) −0.0683747 0.0139588i −0.00390872 0.000797971i
\(307\) 9.80588 + 11.0686i 0.559651 + 0.631716i 0.958429 0.285332i \(-0.0921039\pi\)
−0.398777 + 0.917048i \(0.630565\pi\)
\(308\) 4.90343 6.00562i 0.279399 0.342202i
\(309\) −0.277259 + 6.88011i −0.0157727 + 0.391396i
\(310\) −0.971112 2.90884i −0.0551555 0.165211i
\(311\) −22.3146 + 19.7690i −1.26535 + 1.12100i −0.278310 + 0.960491i \(0.589774\pi\)
−0.987035 + 0.160507i \(0.948687\pi\)
\(312\) −4.02338 + 10.0143i −0.227779 + 0.566947i
\(313\) −4.60777 4.08213i −0.260447 0.230736i 0.522786 0.852464i \(-0.324893\pi\)
−0.783233 + 0.621728i \(0.786431\pi\)
\(314\) −2.92656 + 6.86888i −0.165155 + 0.387633i
\(315\) −0.871129 + 1.50884i −0.0490826 + 0.0850135i
\(316\) 1.90856 + 3.30573i 0.107365 + 0.185962i
\(317\) 3.73078 0.452999i 0.209541 0.0254429i −0.0150927 0.999886i \(-0.504804\pi\)
0.224634 + 0.974443i \(0.427881\pi\)
\(318\) 2.47354 + 1.17371i 0.138709 + 0.0658183i
\(319\) 2.75566 1.59098i 0.154287 0.0890777i
\(320\) −3.76917 2.60167i −0.210703 0.145438i
\(321\) −9.56286 + 4.07435i −0.533747 + 0.227408i
\(322\) −20.5595 3.34125i −1.14574 0.186201i
\(323\) −0.276037 + 0.367338i −0.0153591 + 0.0204393i
\(324\) −0.359288 0.947365i −0.0199605 0.0526314i
\(325\) 12.5306 + 10.6456i 0.695075 + 0.590510i
\(326\) 5.11821 13.4956i 0.283471 0.747453i
\(327\) −6.38716 10.1005i −0.353211 0.558558i
\(328\) −10.6912 4.55508i −0.590321 0.251512i
\(329\) 6.09375 + 3.85345i 0.335959 + 0.212448i
\(330\) 1.90466 + 0.231267i 0.104848 + 0.0127308i
\(331\) 2.38965 + 5.60872i 0.131347 + 0.308283i 0.972648 0.232284i \(-0.0746199\pi\)
−0.841301 + 0.540567i \(0.818210\pi\)
\(332\) 1.27520 3.81968i 0.0699856 0.209632i
\(333\) −5.32179 2.01829i −0.291632 0.110602i
\(334\) 6.27248 + 0.506367i 0.343215 + 0.0277072i
\(335\) −0.776390 + 2.68041i −0.0424187 + 0.146446i
\(336\) 2.48600 + 0.100182i 0.135622 + 0.00546539i
\(337\) −20.3151 −1.10663 −0.553317 0.832970i \(-0.686638\pi\)
−0.553317 + 0.832970i \(0.686638\pi\)
\(338\) 12.9139 0.0156010i 0.702421 0.000848583i
\(339\) −20.2919 −1.10211
\(340\) 0.0471631 + 0.00190061i 0.00255778 + 0.000103075i
\(341\) −3.77227 + 13.0234i −0.204280 + 0.705257i
\(342\) 6.47638 + 0.522827i 0.350202 + 0.0282713i
\(343\) 17.4352 + 6.61229i 0.941411 + 0.357030i
\(344\) −0.113306 + 0.339392i −0.00610904 + 0.0182988i
\(345\) 2.07450 + 4.86902i 0.111687 + 0.262139i
\(346\) −21.5858 2.62099i −1.16046 0.140905i
\(347\) −19.4545 12.3023i −1.04437 0.660420i −0.101930 0.994792i \(-0.532502\pi\)
−0.942441 + 0.334371i \(0.891476\pi\)
\(348\) −1.01835 0.433878i −0.0545893 0.0232583i
\(349\) 17.6185 + 27.8614i 0.943097 + 1.49139i 0.869401 + 0.494108i \(0.164505\pi\)
0.0736965 + 0.997281i \(0.476520\pi\)
\(350\) 4.22037 11.1282i 0.225588 0.594827i
\(351\) −2.64862 + 2.44638i −0.141373 + 0.130578i
\(352\) 5.21130 + 13.7411i 0.277763 + 0.732401i
\(353\) 13.1494 17.4986i 0.699869 0.931357i −0.299875 0.953979i \(-0.596945\pi\)
0.999744 + 0.0226217i \(0.00720131\pi\)
\(354\) −12.4229 2.01893i −0.660272 0.107305i
\(355\) −1.72159 + 0.733500i −0.0913724 + 0.0389302i
\(356\) −9.41968 6.50193i −0.499242 0.344602i
\(357\) −0.159840 + 0.0922835i −0.00845961 + 0.00488416i
\(358\) 5.00895 + 2.37678i 0.264731 + 0.125616i
\(359\) −10.3188 + 1.25293i −0.544605 + 0.0661270i −0.388216 0.921568i \(-0.626909\pi\)
−0.156389 + 0.987695i \(0.549985\pi\)
\(360\) −0.992475 1.71902i −0.0523080 0.0906002i
\(361\) 11.8909 20.5957i 0.625838 1.08398i
\(362\) −9.65356 + 22.6577i −0.507380 + 1.19086i
\(363\) 1.88402 + 1.66910i 0.0988856 + 0.0876050i
\(364\) 3.22751 + 9.03893i 0.169167 + 0.473769i
\(365\) −0.0743223 + 0.0658438i −0.00389021 + 0.00344642i
\(366\) 1.80144 + 5.39598i 0.0941630 + 0.282052i
\(367\) −1.05414 + 26.1582i −0.0550257 + 1.36545i 0.702053 + 0.712125i \(0.252267\pi\)
−0.757078 + 0.653324i \(0.773374\pi\)
\(368\) 4.77999 5.85443i 0.249174 0.305183i
\(369\) −2.57454 2.90605i −0.134025 0.151283i
\(370\) −3.67361 0.749972i −0.190982 0.0389892i
\(371\) 6.95523 2.01461i 0.361098 0.104593i
\(372\) 4.41024 1.67258i 0.228660 0.0867194i
\(373\) 0.910784 + 22.6009i 0.0471586 + 1.17023i 0.833530 + 0.552475i \(0.186316\pi\)
−0.786371 + 0.617755i \(0.788043\pi\)
\(374\) 0.162489 + 0.122102i 0.00840209 + 0.00631376i
\(375\) −6.21169 + 1.26813i −0.320770 + 0.0654857i
\(376\) −7.27334 + 3.81735i −0.375094 + 0.196865i
\(377\) −0.0769421 + 3.93830i −0.00396272 + 0.202833i
\(378\) 2.31092 + 1.21286i 0.118861 + 0.0623830i
\(379\) −5.97397 1.73038i −0.306862 0.0888837i 0.121214 0.992626i \(-0.461321\pi\)
−0.428076 + 0.903743i \(0.640808\pi\)
\(380\) −4.38052 + 0.353632i −0.224716 + 0.0181409i
\(381\) 1.25809 6.16254i 0.0644540 0.315717i
\(382\) 9.70264 + 18.4868i 0.496430 + 0.945869i
\(383\) −8.31585 11.0664i −0.424920 0.565466i 0.535317 0.844651i \(-0.320192\pi\)
−0.960237 + 0.279185i \(0.909936\pi\)
\(384\) 1.72684 2.73078i 0.0881224 0.139354i
\(385\) 4.17617 2.88260i 0.212837 0.146911i
\(386\) 10.7470 22.6489i 0.547010 1.15280i
\(387\) −0.0828068 + 0.0862111i −0.00420931 + 0.00438235i
\(388\) 13.6800 + 13.1399i 0.694498 + 0.667075i
\(389\) −2.71950 22.3971i −0.137884 1.13558i −0.883244 0.468914i \(-0.844645\pi\)
0.745360 0.666662i \(-0.232278\pi\)
\(390\) −1.46367 + 1.87057i −0.0741160 + 0.0947199i
\(391\) −0.0675810 + 0.556580i −0.00341772 + 0.0281474i
\(392\) −0.225936 + 0.184471i −0.0114115 + 0.00931718i
\(393\) −1.07255 5.25372i −0.0541032 0.265015i
\(394\) −3.45865 11.9407i −0.174244 0.601561i
\(395\) 0.597883 + 2.42571i 0.0300828 + 0.122051i
\(396\) −0.237459 + 2.94145i −0.0119327 + 0.147814i
\(397\) 2.58321 + 15.8951i 0.129647 + 0.797753i 0.967689 + 0.252146i \(0.0811365\pi\)
−0.838042 + 0.545606i \(0.816299\pi\)
\(398\) 10.0518 11.3462i 0.503853 0.568733i
\(399\) 13.7380 10.3234i 0.687758 0.516817i
\(400\) 2.73123 + 3.34515i 0.136562 + 0.167258i
\(401\) 2.41874 14.8831i 0.120786 0.743225i −0.854032 0.520221i \(-0.825850\pi\)
0.974817 0.223004i \(-0.0715864\pi\)
\(402\) 4.05877 + 1.00040i 0.202433 + 0.0498953i
\(403\) −11.3886 12.3301i −0.567305 0.614204i
\(404\) 1.50942 0.372038i 0.0750963 0.0185096i
\(405\) −0.0533609 0.660993i −0.00265152 0.0328450i
\(406\) 2.70453 0.902906i 0.134224 0.0448105i
\(407\) 11.4835 + 11.9556i 0.569215 + 0.592615i
\(408\) 0.210277i 0.0104102i
\(409\) 6.32123 6.07163i 0.312565 0.300223i −0.519982 0.854177i \(-0.674061\pi\)
0.832547 + 0.553955i \(0.186882\pi\)
\(410\) −1.98110 1.61752i −0.0978395 0.0798835i
\(411\) −3.33313 + 6.35074i −0.164411 + 0.313259i
\(412\) −6.88629 + 1.11913i −0.339263 + 0.0551356i
\(413\) −28.1340 + 17.7909i −1.38438 + 0.875432i
\(414\) 7.16265 3.39872i 0.352025 0.167038i
\(415\) 1.49720 2.16907i 0.0734948 0.106476i
\(416\) −17.8967 3.26853i −0.877460 0.160253i
\(417\) −2.09838 3.04003i −0.102758 0.148871i
\(418\) −16.3888 9.46208i −0.801603 0.462806i
\(419\) 11.4179 + 24.0628i 0.557802 + 1.17554i 0.965011 + 0.262209i \(0.0844509\pi\)
−0.407209 + 0.913335i \(0.633498\pi\)
\(420\) −1.67442 0.559004i −0.0817034 0.0272766i
\(421\) 8.82212 35.7927i 0.429964 1.74443i −0.211595 0.977357i \(-0.567866\pi\)
0.641559 0.767074i \(-0.278288\pi\)
\(422\) −3.00761 + 0.121202i −0.146408 + 0.00590004i
\(423\) −2.74203 + 0.110500i −0.133322 + 0.00537270i
\(424\) −1.97430 + 8.01007i −0.0958807 + 0.389003i
\(425\) −0.303872 0.101447i −0.0147400 0.00492092i
\(426\) 1.20172 + 2.53257i 0.0582234 + 0.122703i
\(427\) 13.0298 + 7.52278i 0.630558 + 0.364053i
\(428\) −5.98282 8.66761i −0.289190 0.418965i
\(429\) 10.0240 3.13024i 0.483962 0.151130i
\(430\) −0.0447326 + 0.0648064i −0.00215720 + 0.00312524i
\(431\) 22.6361 10.7409i 1.09034 0.517373i 0.203324 0.979111i \(-0.434825\pi\)
0.887016 + 0.461738i \(0.152774\pi\)
\(432\) −0.800391 + 0.506137i −0.0385089 + 0.0243515i
\(433\) −4.32493 + 0.702870i −0.207843 + 0.0337778i −0.263441 0.964675i \(-0.584857\pi\)
0.0555983 + 0.998453i \(0.482293\pi\)
\(434\) −5.64621 + 10.7580i −0.271027 + 0.516398i
\(435\) −0.561188 0.458196i −0.0269069 0.0219688i
\(436\) 8.73259 8.38777i 0.418215 0.401701i
\(437\) 52.2019i 2.49715i
\(438\) 0.103036 + 0.107271i 0.00492323 + 0.00512562i
\(439\) 27.1580 9.06667i 1.29618 0.432728i 0.416865 0.908969i \(-0.363129\pi\)
0.879315 + 0.476240i \(0.158001\pi\)
\(440\) 0.465199 + 5.76253i 0.0221775 + 0.274718i
\(441\) −0.0946141 + 0.0233203i −0.00450543 + 0.00111049i
\(442\) −0.233361 + 0.0940837i −0.0110999 + 0.00447511i
\(443\) 2.61408 + 0.644312i 0.124199 + 0.0306122i 0.300925 0.953648i \(-0.402705\pi\)
−0.176726 + 0.984260i \(0.556551\pi\)
\(444\) 0.925065 5.69215i 0.0439016 0.270138i
\(445\) −4.73780 5.80275i −0.224593 0.275077i
\(446\) −19.5269 + 14.6735i −0.924624 + 0.694810i
\(447\) 6.27532 7.08338i 0.296813 0.335032i
\(448\) 2.91063 + 17.9098i 0.137514 + 0.846159i
\(449\) 2.07925 25.7561i 0.0981258 1.21551i −0.740976 0.671532i \(-0.765637\pi\)
0.839102 0.543975i \(-0.183081\pi\)
\(450\) 1.08411 + 4.39839i 0.0511053 + 0.207342i
\(451\) 3.14604 + 10.8614i 0.148141 + 0.511442i
\(452\) −4.11251 20.1444i −0.193436 0.947514i
\(453\) 2.70258 2.20659i 0.126978 0.103675i
\(454\) 1.67621 13.8048i 0.0786685 0.647893i
\(455\) 0.383073 + 6.27011i 0.0179587 + 0.293947i
\(456\) 2.35989 + 19.4354i 0.110512 + 0.910146i
\(457\) 23.5507 + 22.6208i 1.10166 + 1.05815i 0.997979 + 0.0635433i \(0.0202401\pi\)
0.103676 + 0.994611i \(0.466939\pi\)
\(458\) −18.7117 + 19.4809i −0.874340 + 0.910284i
\(459\) 0.0301158 0.0634678i 0.00140569 0.00296242i
\(460\) −4.41320 + 3.04621i −0.205766 + 0.142030i
\(461\) 5.68951 8.99724i 0.264987 0.419043i −0.686315 0.727305i \(-0.740773\pi\)
0.951302 + 0.308261i \(0.0997471\pi\)
\(462\) −4.56646 6.07686i −0.212451 0.282721i
\(463\) −13.5693 25.8541i −0.630618 1.20154i −0.965775 0.259380i \(-0.916482\pi\)
0.335158 0.942162i \(-0.391210\pi\)
\(464\) −0.206945 + 1.01368i −0.00960716 + 0.0470590i
\(465\) 3.07710 0.248409i 0.142697 0.0115197i
\(466\) 6.89590 + 1.99742i 0.319447 + 0.0925288i
\(467\) −3.83885 2.01478i −0.177641 0.0932331i 0.373559 0.927607i \(-0.378137\pi\)
−0.551200 + 0.834373i \(0.685830\pi\)
\(468\) −2.96539 2.13357i −0.137075 0.0986242i
\(469\) 9.78949 5.13792i 0.452037 0.237247i
\(470\) −1.77125 + 0.361603i −0.0817015 + 0.0166795i
\(471\) −6.00872 4.51526i −0.276867 0.208052i
\(472\) −1.52705 37.8933i −0.0702880 1.74418i
\(473\) 0.325536 0.123459i 0.0149682 0.00567667i
\(474\) 3.59465 1.04120i 0.165108 0.0478240i
\(475\) 29.2248 + 5.96628i 1.34092 + 0.273752i
\(476\) −0.124007 0.139975i −0.00568385 0.00641574i
\(477\) −1.74311 + 2.13492i −0.0798114 + 0.0977512i
\(478\) −0.906958 + 22.5059i −0.0414833 + 1.02940i
\(479\) −3.59359 10.7641i −0.164195 0.491825i 0.834007 0.551753i \(-0.186041\pi\)
−0.998203 + 0.0599285i \(0.980913\pi\)
\(480\) 2.50457 2.21885i 0.114317 0.101276i
\(481\) −20.0174 + 4.52099i −0.912714 + 0.206140i
\(482\) 14.3997 + 12.7570i 0.655888 + 0.581066i
\(483\) 8.21884 19.2903i 0.373970 0.877740i
\(484\) −1.27514 + 2.20860i −0.0579608 + 0.100391i
\(485\) 6.20739 + 10.7515i 0.281863 + 0.488201i
\(486\) −0.986132 + 0.119738i −0.0447318 + 0.00543143i
\(487\) 5.12305 + 2.43092i 0.232148 + 0.110155i 0.541213 0.840885i \(-0.317965\pi\)
−0.309066 + 0.951041i \(0.600016\pi\)
\(488\) −14.8449 + 8.57068i −0.671995 + 0.387977i
\(489\) 11.9578 + 8.25388i 0.540751 + 0.373253i
\(490\) −0.0590556 + 0.0251613i −0.00266786 + 0.00113667i
\(491\) 34.9188 + 5.67486i 1.57586 + 0.256103i 0.884548 0.466450i \(-0.154467\pi\)
0.691316 + 0.722552i \(0.257031\pi\)
\(492\) 2.36315 3.14479i 0.106539 0.141778i
\(493\) −0.0272154 0.0717610i −0.00122572 0.00323195i
\(494\) 20.5132 11.3149i 0.922933 0.509082i
\(495\) −0.684899 + 1.80593i −0.0307839 + 0.0811705i
\(496\) −2.35620 3.72604i −0.105797 0.167304i
\(497\) 6.82066 + 2.90601i 0.305949 + 0.130353i
\(498\) −3.33689 2.11012i −0.149530 0.0945569i
\(499\) 33.4075 + 4.05640i 1.49552 + 0.181589i 0.827043 0.562139i \(-0.190022\pi\)
0.668481 + 0.743729i \(0.266945\pi\)
\(500\) −2.51782 5.90953i −0.112600 0.264282i
\(501\) −2.00605 + 6.00884i −0.0896235 + 0.268455i
\(502\) −14.2158 5.39133i −0.634481 0.240627i
\(503\) 10.7762 + 0.869941i 0.480485 + 0.0387888i 0.318337 0.947978i \(-0.396876\pi\)
0.162148 + 0.986766i \(0.448158\pi\)
\(504\) −2.18792 + 7.55357i −0.0974577 + 0.336463i
\(505\) 1.01665 + 0.0409698i 0.0452405 + 0.00182313i
\(506\) −23.0910 −1.02652
\(507\) −3.09585 + 12.6260i −0.137492 + 0.560740i
\(508\) 6.37272 0.282744
\(509\) 34.5375 + 1.39181i 1.53085 + 0.0616911i 0.791306 0.611420i \(-0.209401\pi\)
0.739541 + 0.673111i \(0.235042\pi\)
\(510\) 0.0128752 0.0444503i 0.000570123 0.00196829i
\(511\) 0.392110 + 0.0316544i 0.0173459 + 0.00140031i
\(512\) −9.76858 3.70473i −0.431714 0.163728i
\(513\) −2.07126 + 6.20417i −0.0914482 + 0.273921i
\(514\) 6.70366 + 15.7341i 0.295686 + 0.694000i
\(515\) −4.53291 0.550395i −0.199744 0.0242533i
\(516\) −0.102367 0.0647328i −0.00450644 0.00284970i
\(517\) 7.35322 + 3.13291i 0.323394 + 0.137785i
\(518\) 7.93920 + 12.5548i 0.348828 + 0.551628i
\(519\) 7.76207 20.4669i 0.340717 0.898397i
\(520\) −6.40469 3.19380i −0.280864 0.140057i
\(521\) 10.2160 + 26.9373i 0.447570 + 1.18014i 0.949092 + 0.314999i \(0.102004\pi\)
−0.501522 + 0.865145i \(0.667226\pi\)
\(522\) −0.651961 + 0.867602i −0.0285356 + 0.0379739i
\(523\) −13.1712 2.14054i −0.575938 0.0935991i −0.134536 0.990909i \(-0.542955\pi\)
−0.441402 + 0.897310i \(0.645519\pi\)
\(524\) 4.99816 2.12952i 0.218346 0.0930284i
\(525\) 9.86016 + 6.80598i 0.430333 + 0.297037i
\(526\) 19.8825 11.4792i 0.866918 0.500515i
\(527\) 0.295460 + 0.140197i 0.0128704 + 0.00610709i
\(528\) 2.73807 0.332461i 0.119159 0.0144685i
\(529\) −20.3480 35.2438i −0.884697 1.53234i
\(530\) −0.907803 + 1.57236i −0.0394324 + 0.0682990i
\(531\) 4.96617 11.6560i 0.215513 0.505829i
\(532\) 13.0326 + 11.5459i 0.565035 + 0.500577i
\(533\) −13.5236 3.61487i −0.585770 0.156578i
\(534\) −8.39957 + 7.44137i −0.363485 + 0.322020i
\(535\) −2.18284 6.53839i −0.0943723 0.282679i
\(536\) −0.507187 + 12.5857i −0.0219071 + 0.543620i
\(537\) −3.52982 + 4.32324i −0.152323 + 0.186562i
\(538\) 1.12261 + 1.26716i 0.0483990 + 0.0546312i
\(539\) 0.278080 + 0.0567705i 0.0119778 + 0.00244528i
\(540\) 0.645374 0.186935i 0.0277725 0.00804440i
\(541\) 9.45232 3.58479i 0.406387 0.154122i −0.142937 0.989732i \(-0.545655\pi\)
0.549324 + 0.835610i \(0.314885\pi\)
\(542\) −0.476161 11.8158i −0.0204529 0.507533i
\(543\) −19.8204 14.8941i −0.850576 0.639166i
\(544\) 0.347304 0.0709025i 0.0148905 0.00303992i
\(545\) 7.01718 3.68290i 0.300583 0.157758i
\(546\) 9.36176 0.951567i 0.400646 0.0407233i
\(547\) −28.3810 14.8955i −1.21348 0.636885i −0.268271 0.963343i \(-0.586452\pi\)
−0.945211 + 0.326459i \(0.894145\pi\)
\(548\) −6.98009 2.02181i −0.298175 0.0863674i
\(549\) −5.70812 + 0.460807i −0.243617 + 0.0196668i
\(550\) 2.63913 12.9273i 0.112533 0.551222i
\(551\) 3.32081 + 6.32728i 0.141471 + 0.269551i
\(552\) 14.3511 + 19.0979i 0.610825 + 0.812861i
\(553\) 5.29008 8.36560i 0.224957 0.355741i
\(554\) 11.2413 7.75930i 0.477597 0.329661i
\(555\) 1.61805 3.40997i 0.0686825 0.144745i
\(556\) 2.59266 2.69924i 0.109953 0.114473i
\(557\) −17.5738 16.8799i −0.744626 0.715223i 0.220967 0.975281i \(-0.429079\pi\)
−0.965593 + 0.260058i \(0.916258\pi\)
\(558\) −0.557413 4.59071i −0.0235972 0.194340i
\(559\) −0.0774339 + 0.423987i −0.00327510 + 0.0179327i
\(560\) −0.198875 + 1.63788i −0.00840399 + 0.0692131i
\(561\) −0.158491 + 0.129404i −0.00669147 + 0.00546342i
\(562\) 1.50048 + 7.34983i 0.0632939 + 0.310034i
\(563\) −1.47106 5.07869i −0.0619978 0.214041i 0.923538 0.383506i \(-0.125283\pi\)
−0.985536 + 0.169464i \(0.945796\pi\)
\(564\) −0.665418 2.69971i −0.0280192 0.113678i
\(565\) 1.08279 13.4128i 0.0455535 0.564282i
\(566\) −3.95913 24.3615i −0.166415 1.02399i
\(567\) −1.74220 + 1.96654i −0.0731657 + 0.0825869i
\(568\) −6.75263 + 5.07427i −0.283334 + 0.212912i
\(569\) 6.32147 + 7.74240i 0.265010 + 0.324578i 0.889918 0.456120i \(-0.150761\pi\)
−0.624908 + 0.780698i \(0.714864\pi\)
\(570\) −0.691171 + 4.25294i −0.0289500 + 0.178136i
\(571\) −17.9153 4.41573i −0.749733 0.184793i −0.154107 0.988054i \(-0.549250\pi\)
−0.595626 + 0.803262i \(0.703096\pi\)
\(572\) 5.13903 + 9.31672i 0.214873 + 0.389552i
\(573\) −20.4068 + 5.02984i −0.852508 + 0.210124i
\(574\) 0.815340 + 10.0998i 0.0340316 + 0.421557i
\(575\) 34.5222 11.5252i 1.43967 0.480634i
\(576\) −4.78418 4.98086i −0.199341 0.207536i
\(577\) 14.6029i 0.607925i 0.952684 + 0.303963i \(0.0983098\pi\)
−0.952684 + 0.303963i \(0.901690\pi\)
\(578\) −12.1757 + 11.6949i −0.506441 + 0.486443i
\(579\) 19.5484 + 15.9608i 0.812403 + 0.663306i
\(580\) 0.341131 0.649970i 0.0141647 0.0269885i
\(581\) −10.3067 + 1.67500i −0.427594 + 0.0694907i
\(582\) 15.7181 9.93950i 0.651535 0.412005i
\(583\) 7.25236 3.44129i 0.300362 0.142524i
\(584\) −0.254597 + 0.368847i −0.0105353 + 0.0152630i
\(585\) −1.47571 1.88126i −0.0610131 0.0777807i
\(586\) 1.88060 + 2.72451i 0.0776867 + 0.112549i
\(587\) 20.9471 + 12.0938i 0.864580 + 0.499165i 0.865543 0.500834i \(-0.166973\pi\)
−0.000963630 1.00000i \(0.500307\pi\)
\(588\) −0.0423260 0.0892001i −0.00174549 0.00367855i
\(589\) −28.8821 9.64226i −1.19007 0.397302i
\(590\) 1.99740 8.10375i 0.0822315 0.333626i
\(591\) 12.5042 0.503904i 0.514356 0.0207278i
\(592\) −5.38561 + 0.217032i −0.221347 + 0.00891998i
\(593\) 7.49419 30.4051i 0.307750 1.24859i −0.589754 0.807583i \(-0.700775\pi\)
0.897504 0.441006i \(-0.145378\pi\)
\(594\) 2.74436 + 0.916202i 0.112602 + 0.0375922i
\(595\) −0.0524696 0.110577i −0.00215104 0.00453323i
\(596\) 8.30369 + 4.79414i 0.340132 + 0.196376i
\(597\) 8.66836 + 12.5583i 0.354772 + 0.513976i
\(598\) 14.7734 24.4716i 0.604130 1.00072i
\(599\) 10.9349 15.8420i 0.446790 0.647286i −0.533281 0.845938i \(-0.679041\pi\)
0.980070 + 0.198652i \(0.0636564\pi\)
\(600\) −12.3320 + 5.85161i −0.503452 + 0.238891i
\(601\) 0.482596 0.305175i 0.0196855 0.0124483i −0.524587 0.851357i \(-0.675780\pi\)
0.544272 + 0.838909i \(0.316806\pi\)
\(602\) 0.307938 0.0500447i 0.0125506 0.00203967i
\(603\) −1.95561 + 3.72611i −0.0796386 + 0.151739i
\(604\) 2.73827 + 2.23573i 0.111419 + 0.0909706i
\(605\) −1.20380 + 1.15626i −0.0489413 + 0.0470088i
\(606\) 1.52416i 0.0619148i
\(607\) −10.9211 11.3701i −0.443274 0.461497i 0.461655 0.887060i \(-0.347256\pi\)
−0.904929 + 0.425562i \(0.860076\pi\)
\(608\) −31.3048 + 10.4511i −1.26958 + 0.423847i
\(609\) 0.230962 + 2.86098i 0.00935906 + 0.115933i
\(610\) −3.66283 + 0.902808i −0.148304 + 0.0365536i
\(611\) −8.02474 + 5.78844i −0.324646 + 0.234175i
\(612\) 0.0691100 + 0.0170341i 0.00279360 + 0.000688562i
\(613\) −4.84303 + 29.8004i −0.195608 + 1.20363i 0.684557 + 0.728959i \(0.259996\pi\)
−0.880166 + 0.474667i \(0.842569\pi\)
\(614\) 9.29028 + 11.3785i 0.374925 + 0.459200i
\(615\) 2.05826 1.54668i 0.0829971 0.0623683i
\(616\) 15.1885 17.1443i 0.611962 0.690762i
\(617\) −6.47560 39.8459i −0.260698 1.60414i −0.705635 0.708576i \(-0.749338\pi\)
0.444937 0.895562i \(-0.353226\pi\)
\(618\) −0.550397 + 6.81789i −0.0221402 + 0.274256i
\(619\) 2.37072 + 9.61838i 0.0952872 + 0.386595i 0.999150 0.0412275i \(-0.0131269\pi\)
−0.903863 + 0.427823i \(0.859281\pi\)
\(620\) 0.870232 + 3.00439i 0.0349494 + 0.120659i
\(621\) 1.59640 + 7.81969i 0.0640614 + 0.313793i
\(622\) −22.9395 + 18.7295i −0.919791 + 0.750986i
\(623\) −3.57742 + 29.4627i −0.143326 + 1.18040i
\(624\) −1.39945 + 3.11447i −0.0560228 + 0.124679i
\(625\) 2.24162 + 18.4614i 0.0896648 + 0.738456i
\(626\) −4.41025 4.23610i −0.176269 0.169309i
\(627\) 13.1967 13.7392i 0.527024 0.548690i
\(628\) 3.26467 6.88014i 0.130274 0.274548i
\(629\) 0.329063 0.227136i 0.0131206 0.00905650i
\(630\) −0.925008 + 1.46278i −0.0368532 + 0.0582787i
\(631\) −19.3403 25.7372i −0.769924 1.02458i −0.998693 0.0511020i \(-0.983727\pi\)
0.228770 0.973481i \(-0.426530\pi\)
\(632\) 5.24052 + 9.98497i 0.208457 + 0.397181i
\(633\) 0.606103 2.96889i 0.0240904 0.118003i
\(634\) 3.72118 0.300404i 0.147787 0.0119306i
\(635\) 4.00627 + 1.16043i 0.158984 + 0.0460502i
\(636\) −2.47267 1.29776i −0.0980478 0.0514595i
\(637\) −0.238078 + 0.258385i −0.00943298 + 0.0102376i
\(638\) 2.79882 1.46893i 0.110806 0.0581556i
\(639\) −2.76488 + 0.564455i −0.109377 + 0.0223295i
\(640\) 1.71288 + 1.28715i 0.0677075 + 0.0508789i
\(641\) −0.0918861 2.28013i −0.00362928 0.0900597i −0.999988 0.00480481i \(-0.998471\pi\)
0.996359 0.0852549i \(-0.0271705\pi\)
\(642\) −9.65476 + 3.66157i −0.381043 + 0.144511i
\(643\) −8.36321 + 2.42243i −0.329813 + 0.0955314i −0.438993 0.898491i \(-0.644665\pi\)
0.109180 + 0.994022i \(0.465177\pi\)
\(644\) 20.8158 + 4.24957i 0.820257 + 0.167457i
\(645\) −0.0525663 0.0593351i −0.00206980 0.00233632i
\(646\) −0.288679 + 0.353567i −0.0113579 + 0.0139109i
\(647\) −0.0740413 + 1.83732i −0.00291086 + 0.0722323i −0.999991 0.00412346i \(-0.998687\pi\)
0.997081 + 0.0763558i \(0.0243285\pi\)
\(648\) −0.947864 2.83920i −0.0372356 0.111534i
\(649\) −27.6213 + 24.4704i −1.08423 + 0.960546i
\(650\) 12.0117 + 11.0677i 0.471138 + 0.434110i
\(651\) −9.15478 8.11042i −0.358804 0.317873i
\(652\) −5.77043 + 13.5437i −0.225987 + 0.530412i
\(653\) −24.6104 + 42.6264i −0.963079 + 1.66810i −0.248388 + 0.968661i \(0.579901\pi\)
−0.714691 + 0.699441i \(0.753433\pi\)
\(654\) −5.93568 10.2809i −0.232104 0.402015i
\(655\) 3.52991 0.428608i 0.137925 0.0167471i
\(656\) −3.32168 1.57616i −0.129690 0.0615386i
\(657\) −0.129671 + 0.0748658i −0.00505896 + 0.00292079i
\(658\) 5.89433 + 4.06856i 0.229785 + 0.158609i
\(659\) 14.3486 6.11336i 0.558941 0.238143i −0.0939726 0.995575i \(-0.529957\pi\)
0.652914 + 0.757432i \(0.273546\pi\)
\(660\) −1.93161 0.313917i −0.0751878 0.0122192i
\(661\) 13.2012 17.5676i 0.513468 0.683302i −0.466027 0.884771i \(-0.654315\pi\)
0.979495 + 0.201469i \(0.0645714\pi\)
\(662\) 2.14755 + 5.66263i 0.0834669 + 0.220084i
\(663\) −0.0357396 0.250757i −0.00138801 0.00973861i
\(664\) 4.21854 11.1234i 0.163711 0.431670i
\(665\) 6.09063 + 9.63156i 0.236185 + 0.373496i
\(666\) −5.20152 2.21616i −0.201555 0.0858744i
\(667\) 7.36938 + 4.66011i 0.285344 + 0.180440i
\(668\) −6.37173 0.773668i −0.246529 0.0299341i
\(669\) −9.63788 22.6209i −0.372622 0.874576i
\(670\) −0.877835 + 2.62944i −0.0339137 + 0.101584i
\(671\) 15.5954 + 5.91456i 0.602054 + 0.228329i
\(672\) −13.2136 1.06671i −0.509726 0.0411493i
\(673\) 9.82658 33.9253i 0.378787 1.30772i −0.514212 0.857663i \(-0.671915\pi\)
0.892998 0.450060i \(-0.148597\pi\)
\(674\) −20.1641 0.812587i −0.776694 0.0312997i
\(675\) −4.56024 −0.175524
\(676\) −13.1616 0.514471i −0.506217 0.0197873i
\(677\) −45.3764 −1.74396 −0.871978 0.489545i \(-0.837163\pi\)
−0.871978 + 0.489545i \(0.837163\pi\)
\(678\) −20.1411 0.811659i −0.773515 0.0311716i
\(679\) 13.6842 47.2435i 0.525153 1.81304i
\(680\) 0.138991 + 0.0112205i 0.00533008 + 0.000430288i
\(681\) 13.0893 + 4.96411i 0.501582 + 0.190225i
\(682\) −4.26517 + 12.7757i −0.163322 + 0.489208i
\(683\) −8.84830 20.7677i −0.338571 0.794655i −0.999040 0.0438019i \(-0.986053\pi\)
0.660469 0.750853i \(-0.270357\pi\)
\(684\) −6.57885 0.798817i −0.251549 0.0305435i
\(685\) −4.01994 2.54205i −0.153594 0.0971269i
\(686\) 17.0411 + 7.26054i 0.650633 + 0.277209i
\(687\) −14.5331 22.9823i −0.554474 0.876831i
\(688\) −0.0401420 + 0.105846i −0.00153040 + 0.00403533i
\(689\) −0.992955 + 9.88767i −0.0378286 + 0.376690i
\(690\) 1.86432 + 4.91582i 0.0709736 + 0.187142i
\(691\) 22.4068 29.8180i 0.852394 1.13433i −0.137214 0.990541i \(-0.543815\pi\)
0.989608 0.143789i \(-0.0459286\pi\)
\(692\) 21.8912 + 3.55767i 0.832180 + 0.135242i
\(693\) 7.03975 2.99936i 0.267418 0.113936i
\(694\) −18.8178 12.9890i −0.714315 0.493056i
\(695\) 2.12141 1.22480i 0.0804697 0.0464592i
\(696\) −2.95438 1.40187i −0.111986 0.0531378i
\(697\) 0.270755 0.0328756i 0.0102556 0.00124525i
\(698\) 16.3731 + 28.3591i 0.619733 + 1.07341i
\(699\) −3.61362 + 6.25898i −0.136680 + 0.236736i
\(700\) −4.75817 + 11.1678i −0.179842 + 0.422105i
\(701\) 5.93035 + 5.25384i 0.223986 + 0.198435i 0.767651 0.640868i \(-0.221425\pi\)
−0.543665 + 0.839302i \(0.682964\pi\)
\(702\) −2.72679 + 2.32226i −0.102916 + 0.0876481i
\(703\) −27.8655 + 24.6867i −1.05097 + 0.931075i
\(704\) 6.36979 + 19.0799i 0.240070 + 0.719099i
\(705\) 0.0732775 1.81836i 0.00275979 0.0684835i
\(706\) 13.7516 16.8426i 0.517547 0.633880i
\(707\) −2.67311 3.01732i −0.100533 0.113478i
\(708\) 12.5778 + 2.56777i 0.472702 + 0.0965028i
\(709\) −0.951997 + 0.275749i −0.0357530 + 0.0103560i −0.296046 0.955174i \(-0.595668\pi\)
0.260293 + 0.965530i \(0.416181\pi\)
\(710\) −1.73813 + 0.659187i −0.0652310 + 0.0247389i
\(711\) 0.151697 + 3.76431i 0.00568906 + 0.141173i
\(712\) −27.0318 20.3131i −1.01306 0.761266i
\(713\) −36.4028 + 7.43168i −1.36329 + 0.278318i
\(714\) −0.162343 + 0.0852042i −0.00607554 + 0.00318869i
\(715\) 1.53418 + 6.79282i 0.0573751 + 0.254037i
\(716\) −5.00720 2.62798i −0.187128 0.0982122i
\(717\) −21.7792 6.30843i −0.813360 0.235592i
\(718\) −10.2922 + 0.830875i −0.384103 + 0.0310080i
\(719\) −7.42229 + 36.3568i −0.276805 + 1.35588i 0.568979 + 0.822352i \(0.307339\pi\)
−0.845783 + 0.533527i \(0.820866\pi\)
\(720\) −0.291843 0.556061i −0.0108764 0.0207232i
\(721\) 10.8678 + 14.4624i 0.404737 + 0.538607i
\(722\) 12.6264 19.9670i 0.469905 0.743095i
\(723\) −15.9380 + 11.0012i −0.592740 + 0.409139i
\(724\) 10.7689 22.6949i 0.400222 0.843449i
\(725\) −3.45119 + 3.59307i −0.128174 + 0.133443i
\(726\) 1.80326 + 1.73206i 0.0669253 + 0.0642826i
\(727\) 3.12751 + 25.7573i 0.115993 + 0.955286i 0.928242 + 0.371976i \(0.121320\pi\)
−0.812250 + 0.583310i \(0.801757\pi\)
\(728\) 8.45183 + 27.0653i 0.313246 + 1.00311i
\(729\) 0.120537 0.992709i 0.00446432 0.0367670i
\(730\) −0.0764037 + 0.0623817i −0.00282783 + 0.00230885i
\(731\) −0.00167973 0.00822788i −6.21272e−5 0.000304319i
\(732\) −1.61431 5.57324i −0.0596665 0.205993i
\(733\) 0.118667 + 0.481451i 0.00438307 + 0.0177828i 0.973093 0.230414i \(-0.0740081\pi\)
−0.968710 + 0.248197i \(0.920162\pi\)
\(734\) −2.09262 + 25.9217i −0.0772398 + 0.956787i
\(735\) −0.0103659 0.0637837i −0.000382350 0.00235270i
\(736\) −26.7040 + 30.1426i −0.984324 + 1.11107i
\(737\) 9.79827 7.36292i 0.360924 0.271217i
\(738\) −2.43917 2.98744i −0.0897869 0.109969i
\(739\) 0.764286 4.70284i 0.0281147 0.172997i −0.969196 0.246293i \(-0.920788\pi\)
0.997310 + 0.0732958i \(0.0233517\pi\)
\(740\) 3.71311 + 0.915200i 0.136497 + 0.0336434i
\(741\) 6.11752 + 22.7759i 0.224733 + 0.836692i
\(742\) 6.98413 1.72143i 0.256395 0.0631958i
\(743\) 4.13790 + 51.2570i 0.151805 + 1.88044i 0.406830 + 0.913504i \(0.366634\pi\)
−0.255025 + 0.966934i \(0.582084\pi\)
\(744\) 13.2172 4.41256i 0.484568 0.161772i
\(745\) 4.34721 + 4.52592i 0.159269 + 0.165817i
\(746\) 22.4694i 0.822662i
\(747\) 2.86637 2.75319i 0.104875 0.100734i
\(748\) −0.160584 0.131113i −0.00587152 0.00479395i
\(749\) −12.6914 + 24.1814i −0.463733 + 0.883569i
\(750\) −6.21625 + 1.01024i −0.226985 + 0.0368887i
\(751\) −35.0095 + 22.1387i −1.27752 + 0.807852i −0.988754 0.149549i \(-0.952218\pi\)
−0.288762 + 0.957401i \(0.593244\pi\)
\(752\) −2.34789 + 1.11409i −0.0856187 + 0.0406266i
\(753\) 8.69433 12.5959i 0.316839 0.459020i
\(754\) −0.233899 + 3.90596i −0.00851810 + 0.142247i
\(755\) 1.31433 + 1.90413i 0.0478333 + 0.0692985i
\(756\) −2.30533 1.33099i −0.0838442 0.0484075i
\(757\) 10.6936 + 22.5362i 0.388664 + 0.819093i 0.999624 + 0.0274308i \(0.00873259\pi\)
−0.610959 + 0.791662i \(0.709216\pi\)
\(758\) −5.86036 1.95648i −0.212858 0.0710624i
\(759\) 5.56290 22.5696i 0.201921 0.819224i
\(760\) −12.9726 + 0.522778i −0.470566 + 0.0189631i
\(761\) −7.62445 + 0.307255i −0.276386 + 0.0111380i −0.178072 0.984017i \(-0.556986\pi\)
−0.0983140 + 0.995155i \(0.531345\pi\)
\(762\) 1.49524 6.06642i 0.0541668 0.219763i
\(763\) −29.7815 9.94253i −1.07816 0.359944i
\(764\) −9.12908 19.2391i −0.330279 0.696047i
\(765\) 0.0403448 + 0.0232931i 0.00145867 + 0.000842163i
\(766\) −7.81141 11.3168i −0.282238 0.408892i
\(767\) −8.26153 44.9286i −0.298307 1.62228i
\(768\) 9.66971 14.0090i 0.348926 0.505506i
\(769\) −16.7203 + 7.93389i −0.602950 + 0.286103i −0.705596 0.708615i \(-0.749320\pi\)
0.102646 + 0.994718i \(0.467269\pi\)
\(770\) 4.26043 2.69414i 0.153535 0.0970899i
\(771\) −16.9938 + 2.76175i −0.612015 + 0.0994621i
\(772\) −11.8829 + 22.6410i −0.427675 + 0.814868i