Properties

Label 648.2.bb.b.155.43
Level $648$
Weight $2$
Character 648.155
Analytic conductor $5.174$
Analytic rank $0$
Dimension $1872$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 648 = 2^{3} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 648.bb (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.17430605098\)
Analytic rank: \(0\)
Dimension: \(1872\)
Relative dimension: \(104\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 155.43
Character \(\chi\) \(=\) 648.155
Dual form 648.2.bb.b.347.43

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.392465 + 1.35867i) q^{2} +(-1.36990 + 1.05989i) q^{3} +(-1.69194 - 1.06646i) q^{4} +(-0.991758 + 0.652289i) q^{5} +(-0.902395 - 2.27721i) q^{6} +(-0.145385 - 0.137164i) q^{7} +(2.11299 - 1.88023i) q^{8} +(0.753269 - 2.90389i) q^{9} +O(q^{10})\) \(q+(-0.392465 + 1.35867i) q^{2} +(-1.36990 + 1.05989i) q^{3} +(-1.69194 - 1.06646i) q^{4} +(-0.991758 + 0.652289i) q^{5} +(-0.902395 - 2.27721i) q^{6} +(-0.145385 - 0.137164i) q^{7} +(2.11299 - 1.88023i) q^{8} +(0.753269 - 2.90389i) q^{9} +(-0.497012 - 1.60347i) q^{10} +(-0.414045 - 0.824431i) q^{11} +(3.44812 - 0.332327i) q^{12} +(5.37106 - 2.31685i) q^{13} +(0.243419 - 0.143698i) q^{14} +(0.667257 - 1.94473i) q^{15} +(1.72533 + 3.60877i) q^{16} +(-3.81791 - 4.55001i) q^{17} +(3.64978 + 2.16312i) q^{18} +(3.38690 + 2.84195i) q^{19} +(2.37364 - 0.0459673i) q^{20} +(0.344543 + 0.0338090i) q^{21} +(1.28262 - 0.238988i) q^{22} +(-2.12189 - 2.24907i) q^{23} +(-0.901749 + 4.81527i) q^{24} +(-1.42230 + 3.29725i) q^{25} +(1.03987 + 8.20675i) q^{26} +(2.04590 + 4.77643i) q^{27} +(0.0997039 + 0.387121i) q^{28} +(4.36017 - 0.509631i) q^{29} +(2.38036 + 1.66982i) q^{30} +(0.0796145 + 0.335920i) q^{31} +(-5.58024 + 0.927833i) q^{32} +(1.44101 + 0.690549i) q^{33} +(7.68034 - 3.40154i) q^{34} +(0.233658 + 0.0412001i) q^{35} +(-4.37137 + 4.10989i) q^{36} +(6.35133 - 1.11991i) q^{37} +(-5.19049 + 3.48630i) q^{38} +(-4.90223 + 8.86659i) q^{39} +(-0.869116 + 3.24302i) q^{40} +(-3.38407 - 2.51935i) q^{41} +(-0.181156 + 0.454849i) q^{42} +(-0.194060 + 3.33187i) q^{43} +(-0.178682 + 1.83645i) q^{44} +(1.14712 + 3.37131i) q^{45} +(3.88851 - 2.00026i) q^{46} +(9.46275 + 2.24271i) q^{47} +(-6.18844 - 3.11500i) q^{48} +(-0.404691 - 6.94827i) q^{49} +(-3.92166 - 3.22648i) q^{50} +(10.0527 + 2.18651i) q^{51} +(-11.5583 - 1.80804i) q^{52} +(3.23995 + 5.61176i) q^{53} +(-7.29252 + 0.905107i) q^{54} +(0.948400 + 0.547559i) q^{55} +(-0.565098 - 0.0164674i) q^{56} +(-7.65187 - 0.303452i) q^{57} +(-1.01880 + 6.12403i) q^{58} +(-0.664016 + 1.32216i) q^{59} +(-3.20293 + 2.57876i) q^{60} +(4.70697 - 1.40917i) q^{61} +(-0.487649 - 0.0236675i) q^{62} +(-0.507824 + 0.318862i) q^{63} +(0.929439 - 7.94583i) q^{64} +(-3.81553 + 5.80124i) q^{65} +(-1.50377 + 1.68683i) q^{66} +(-7.00601 - 0.818885i) q^{67} +(1.60729 + 11.7700i) q^{68} +(5.29056 + 0.832043i) q^{69} +(-0.147680 + 0.301293i) q^{70} +(5.08106 + 1.84935i) q^{71} +(-3.86835 - 7.55221i) q^{72} +(15.3616 - 5.59117i) q^{73} +(-0.971094 + 9.06886i) q^{74} +(-1.54632 - 6.02440i) q^{75} +(-2.69962 - 8.42039i) q^{76} +(-0.0528862 + 0.176652i) q^{77} +(-10.1228 - 10.1403i) q^{78} +(11.0516 - 8.22759i) q^{79} +(-4.06507 - 2.45361i) q^{80} +(-7.86517 - 4.37482i) q^{81} +(4.75108 - 3.60907i) q^{82} +(-5.74970 + 4.28049i) q^{83} +(-0.546890 - 0.424643i) q^{84} +(6.75436 + 2.02212i) q^{85} +(-4.45074 - 1.57131i) q^{86} +(-5.43286 + 5.31945i) q^{87} +(-2.42500 - 0.963512i) q^{88} +(-1.72077 - 4.72778i) q^{89} +(-5.03068 + 0.235427i) q^{90} +(-1.09866 - 0.399880i) q^{91} +(1.19157 + 6.06821i) q^{92} +(-0.465102 - 0.375795i) q^{93} +(-6.76090 + 11.9765i) q^{94} +(-5.21275 - 0.609283i) q^{95} +(6.66099 - 7.18548i) q^{96} +(-6.92652 - 4.55564i) q^{97} +(9.59920 + 2.17712i) q^{98} +(-2.70595 + 0.581323i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} + O(q^{10}) \) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} - 18q^{10} - 36q^{11} - 18q^{12} - 18q^{14} - 18q^{16} - 36q^{17} - 90q^{18} - 36q^{19} - 18q^{20} - 18q^{22} - 18q^{24} - 36q^{25} - 27q^{26} - 36q^{27} - 9q^{28} - 18q^{30} - 18q^{32} - 36q^{33} - 18q^{34} - 36q^{35} - 18q^{36} + 90q^{38} - 18q^{40} - 36q^{41} - 63q^{42} - 36q^{43} + 54q^{44} - 18q^{46} + 81q^{48} - 36q^{49} - 135q^{50} - 54q^{51} - 18q^{52} - 144q^{54} + 108q^{56} - 36q^{57} - 18q^{58} + 18q^{59} + 99q^{60} - 117q^{62} - 18q^{64} - 36q^{65} - 90q^{66} - 36q^{67} + 243q^{68} - 18q^{70} - 18q^{72} - 36q^{73} - 18q^{74} - 36q^{75} - 54q^{76} - 45q^{78} - 36q^{81} - 36q^{82} - 36q^{83} + 9q^{84} - 18q^{86} + 54q^{88} - 198q^{89} - 81q^{90} - 36q^{91} - 108q^{92} - 18q^{94} - 423q^{96} - 36q^{97} - 189q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(487\) \(569\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{43}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.392465 + 1.35867i −0.277515 + 0.960721i
\(3\) −1.36990 + 1.05989i −0.790914 + 0.611927i
\(4\) −1.69194 1.06646i −0.845971 0.533229i
\(5\) −0.991758 + 0.652289i −0.443527 + 0.291713i −0.751562 0.659663i \(-0.770699\pi\)
0.308034 + 0.951375i \(0.400329\pi\)
\(6\) −0.902395 2.27721i −0.368401 0.929667i
\(7\) −0.145385 0.137164i −0.0549505 0.0518431i 0.658277 0.752776i \(-0.271286\pi\)
−0.713227 + 0.700933i \(0.752767\pi\)
\(8\) 2.11299 1.88023i 0.747054 0.664763i
\(9\) 0.753269 2.90389i 0.251090 0.967964i
\(10\) −0.497012 1.60347i −0.157169 0.507061i
\(11\) −0.414045 0.824431i −0.124839 0.248575i 0.822528 0.568725i \(-0.192563\pi\)
−0.947367 + 0.320150i \(0.896267\pi\)
\(12\) 3.44812 0.332327i 0.995388 0.0959345i
\(13\) 5.37106 2.31685i 1.48966 0.642578i 0.513202 0.858268i \(-0.328459\pi\)
0.976462 + 0.215690i \(0.0692000\pi\)
\(14\) 0.243419 0.143698i 0.0650564 0.0384049i
\(15\) 0.667257 1.94473i 0.172285 0.502126i
\(16\) 1.72533 + 3.60877i 0.431333 + 0.902193i
\(17\) −3.81791 4.55001i −0.925979 1.10354i −0.994379 0.105881i \(-0.966234\pi\)
0.0683994 0.997658i \(-0.478211\pi\)
\(18\) 3.64978 + 2.16312i 0.860262 + 0.509852i
\(19\) 3.38690 + 2.84195i 0.777008 + 0.651987i 0.942493 0.334225i \(-0.108475\pi\)
−0.165485 + 0.986212i \(0.552919\pi\)
\(20\) 2.37364 0.0459673i 0.530761 0.0102786i
\(21\) 0.344543 + 0.0338090i 0.0751853 + 0.00737773i
\(22\) 1.28262 0.238988i 0.273456 0.0509523i
\(23\) −2.12189 2.24907i −0.442445 0.468964i 0.467320 0.884088i \(-0.345220\pi\)
−0.909765 + 0.415124i \(0.863738\pi\)
\(24\) −0.901749 + 4.81527i −0.184069 + 0.982913i
\(25\) −1.42230 + 3.29725i −0.284459 + 0.659451i
\(26\) 1.03987 + 8.20675i 0.203935 + 1.60948i
\(27\) 2.04590 + 4.77643i 0.393733 + 0.919225i
\(28\) 0.0997039 + 0.387121i 0.0188423 + 0.0731590i
\(29\) 4.36017 0.509631i 0.809664 0.0946361i 0.298820 0.954310i \(-0.403407\pi\)
0.510844 + 0.859673i \(0.329333\pi\)
\(30\) 2.38036 + 1.66982i 0.434592 + 0.304866i
\(31\) 0.0796145 + 0.335920i 0.0142992 + 0.0603330i 0.979727 0.200339i \(-0.0642042\pi\)
−0.965428 + 0.260672i \(0.916056\pi\)
\(32\) −5.58024 + 0.927833i −0.986457 + 0.164019i
\(33\) 1.44101 + 0.690549i 0.250847 + 0.120209i
\(34\) 7.68034 3.40154i 1.31717 0.583359i
\(35\) 0.233658 + 0.0412001i 0.0394954 + 0.00696410i
\(36\) −4.37137 + 4.10989i −0.728561 + 0.684981i
\(37\) 6.35133 1.11991i 1.04415 0.184112i 0.374837 0.927091i \(-0.377699\pi\)
0.669315 + 0.742979i \(0.266588\pi\)
\(38\) −5.19049 + 3.48630i −0.842009 + 0.565552i
\(39\) −4.90223 + 8.86659i −0.784984 + 1.41979i
\(40\) −0.869116 + 3.24302i −0.137419 + 0.512766i
\(41\) −3.38407 2.51935i −0.528504 0.393456i 0.299571 0.954074i \(-0.403156\pi\)
−0.828075 + 0.560618i \(0.810564\pi\)
\(42\) −0.181156 + 0.454849i −0.0279530 + 0.0701847i
\(43\) −0.194060 + 3.33187i −0.0295938 + 0.508106i 0.950644 + 0.310284i \(0.100424\pi\)
−0.980238 + 0.197823i \(0.936613\pi\)
\(44\) −0.178682 + 1.83645i −0.0269373 + 0.276855i
\(45\) 1.14712 + 3.37131i 0.171002 + 0.502565i
\(46\) 3.88851 2.00026i 0.573329 0.294922i
\(47\) 9.46275 + 2.24271i 1.38028 + 0.327133i 0.852714 0.522378i \(-0.174955\pi\)
0.527570 + 0.849512i \(0.323103\pi\)
\(48\) −6.18844 3.11500i −0.893224 0.449612i
\(49\) −0.404691 6.94827i −0.0578130 0.992611i
\(50\) −3.92166 3.22648i −0.554607 0.456294i
\(51\) 10.0527 + 2.18651i 1.40766 + 0.306172i
\(52\) −11.5583 1.80804i −1.60285 0.250730i
\(53\) 3.23995 + 5.61176i 0.445042 + 0.770835i 0.998055 0.0623373i \(-0.0198555\pi\)
−0.553013 + 0.833172i \(0.686522\pi\)
\(54\) −7.29252 + 0.905107i −0.992386 + 0.123169i
\(55\) 0.948400 + 0.547559i 0.127882 + 0.0738328i
\(56\) −0.565098 0.0164674i −0.0755144 0.00220055i
\(57\) −7.65187 0.303452i −1.01351 0.0401932i
\(58\) −1.01880 + 6.12403i −0.133775 + 0.804124i
\(59\) −0.664016 + 1.32216i −0.0864475 + 0.172131i −0.932702 0.360647i \(-0.882556\pi\)
0.846255 + 0.532778i \(0.178852\pi\)
\(60\) −3.20293 + 2.57876i −0.413496 + 0.332917i
\(61\) 4.70697 1.40917i 0.602665 0.180426i 0.0290870 0.999577i \(-0.490740\pi\)
0.573578 + 0.819151i \(0.305555\pi\)
\(62\) −0.487649 0.0236675i −0.0619314 0.00300578i
\(63\) −0.507824 + 0.318862i −0.0639798 + 0.0401728i
\(64\) 0.929439 7.94583i 0.116180 0.993228i
\(65\) −3.81553 + 5.80124i −0.473259 + 0.719555i
\(66\) −1.50377 + 1.68683i −0.185101 + 0.207634i
\(67\) −7.00601 0.818885i −0.855921 0.100043i −0.323197 0.946332i \(-0.604758\pi\)
−0.532724 + 0.846289i \(0.678832\pi\)
\(68\) 1.60729 + 11.7700i 0.194912 + 1.42732i
\(69\) 5.29056 + 0.832043i 0.636908 + 0.100166i
\(70\) −0.147680 + 0.301293i −0.0176511 + 0.0360114i
\(71\) 5.08106 + 1.84935i 0.603011 + 0.219478i 0.625442 0.780270i \(-0.284919\pi\)
−0.0224316 + 0.999748i \(0.507141\pi\)
\(72\) −3.86835 7.55221i −0.455889 0.890037i
\(73\) 15.3616 5.59117i 1.79794 0.654398i 0.799378 0.600828i \(-0.205162\pi\)
0.998564 0.0535695i \(-0.0170599\pi\)
\(74\) −0.971094 + 9.06886i −0.112887 + 1.05423i
\(75\) −1.54632 6.02440i −0.178553 0.695637i
\(76\) −2.69962 8.42039i −0.309668 0.965885i
\(77\) −0.0528862 + 0.176652i −0.00602694 + 0.0201314i
\(78\) −10.1228 10.1403i −1.14618 1.14816i
\(79\) 11.0516 8.22759i 1.24340 0.925676i 0.244367 0.969683i \(-0.421420\pi\)
0.999031 + 0.0440068i \(0.0140123\pi\)
\(80\) −4.06507 2.45361i −0.454489 0.274322i
\(81\) −7.86517 4.37482i −0.873908 0.486091i
\(82\) 4.75108 3.60907i 0.524670 0.398555i
\(83\) −5.74970 + 4.28049i −0.631112 + 0.469845i −0.864564 0.502523i \(-0.832405\pi\)
0.233452 + 0.972368i \(0.424998\pi\)
\(84\) −0.546890 0.424643i −0.0596706 0.0463324i
\(85\) 6.75436 + 2.02212i 0.732614 + 0.219330i
\(86\) −4.45074 1.57131i −0.479936 0.169438i
\(87\) −5.43286 + 5.31945i −0.582464 + 0.570304i
\(88\) −2.42500 0.963512i −0.258505 0.102711i
\(89\) −1.72077 4.72778i −0.182402 0.501144i 0.814468 0.580209i \(-0.197029\pi\)
−0.996870 + 0.0790644i \(0.974807\pi\)
\(90\) −5.03068 + 0.235427i −0.530280 + 0.0248162i
\(91\) −1.09866 0.399880i −0.115171 0.0419188i
\(92\) 1.19157 + 6.06821i 0.124230 + 0.632655i
\(93\) −0.465102 0.375795i −0.0482288 0.0389682i
\(94\) −6.76090 + 11.9765i −0.697333 + 1.23528i
\(95\) −5.21275 0.609283i −0.534817 0.0625112i
\(96\) 6.66099 7.18548i 0.679835 0.733365i
\(97\) −6.92652 4.55564i −0.703282 0.462556i 0.146828 0.989162i \(-0.453094\pi\)
−0.850109 + 0.526607i \(0.823464\pi\)
\(98\) 9.59920 + 2.17712i 0.969666 + 0.219922i
\(99\) −2.70595 + 0.581323i −0.271958 + 0.0584252i
\(100\) 5.92283 4.06194i 0.592283 0.406194i
\(101\) −2.46593 8.23679i −0.245370 0.819592i −0.988601 0.150557i \(-0.951893\pi\)
0.743232 0.669034i \(-0.233292\pi\)
\(102\) −6.91606 + 12.8001i −0.684792 + 1.26740i
\(103\) −6.51287 + 12.9682i −0.641732 + 1.27779i 0.303946 + 0.952689i \(0.401696\pi\)
−0.945678 + 0.325104i \(0.894601\pi\)
\(104\) 6.99277 14.9943i 0.685697 1.47031i
\(105\) −0.363756 + 0.191211i −0.0354989 + 0.0186603i
\(106\) −8.89608 + 2.19959i −0.864063 + 0.213643i
\(107\) 6.31380 + 3.64527i 0.610378 + 0.352402i 0.773113 0.634268i \(-0.218698\pi\)
−0.162736 + 0.986670i \(0.552032\pi\)
\(108\) 1.63232 10.2633i 0.157070 0.987587i
\(109\) 7.27335 4.19927i 0.696661 0.402217i −0.109442 0.993993i \(-0.534906\pi\)
0.806103 + 0.591776i \(0.201573\pi\)
\(110\) −1.11616 + 1.07366i −0.106422 + 0.102369i
\(111\) −7.51372 + 8.26588i −0.713171 + 0.784562i
\(112\) 0.244155 0.761316i 0.0230705 0.0719376i
\(113\) 3.08043 0.179415i 0.289782 0.0168779i 0.0873620 0.996177i \(-0.472156\pi\)
0.202420 + 0.979299i \(0.435119\pi\)
\(114\) 3.41538 10.2772i 0.319880 0.962551i
\(115\) 3.57145 + 0.846449i 0.333039 + 0.0789318i
\(116\) −7.92066 3.78768i −0.735415 0.351677i
\(117\) −2.68203 17.3422i −0.247953 1.60329i
\(118\) −1.53577 1.42108i −0.141380 0.130821i
\(119\) −0.0690291 + 1.18518i −0.00632789 + 0.108646i
\(120\) −2.24663 5.36378i −0.205089 0.489644i
\(121\) 6.06049 8.14065i 0.550954 0.740059i
\(122\) 0.0672728 + 6.94824i 0.00609059 + 0.629064i
\(123\) 7.30609 0.135479i 0.658768 0.0122158i
\(124\) 0.223542 0.653263i 0.0200746 0.0586647i
\(125\) −1.77083 10.0429i −0.158388 0.898261i
\(126\) −0.233923 0.815105i −0.0208395 0.0726153i
\(127\) 14.6041 + 2.57509i 1.29590 + 0.228502i 0.778719 0.627373i \(-0.215870\pi\)
0.517182 + 0.855876i \(0.326981\pi\)
\(128\) 10.4309 + 4.38126i 0.921974 + 0.387252i
\(129\) −3.26558 4.77003i −0.287518 0.419977i
\(130\) −6.38447 7.46082i −0.559955 0.654357i
\(131\) −2.51312 10.6037i −0.219572 0.926448i −0.965496 0.260417i \(-0.916140\pi\)
0.745924 0.666031i \(-0.232008\pi\)
\(132\) −1.70166 2.70514i −0.148110 0.235452i
\(133\) −0.102593 0.877738i −0.00889593 0.0761095i
\(134\) 3.86221 9.19744i 0.333644 0.794538i
\(135\) −5.14465 3.40254i −0.442781 0.292844i
\(136\) −16.6223 2.43555i −1.42535 0.208847i
\(137\) 16.8631 + 7.27402i 1.44071 + 0.621461i 0.965967 0.258664i \(-0.0832821\pi\)
0.474742 + 0.880125i \(0.342541\pi\)
\(138\) −3.20683 + 6.86155i −0.272983 + 0.584094i
\(139\) 10.4197 + 11.0442i 0.883786 + 0.936759i 0.998394 0.0566521i \(-0.0180426\pi\)
−0.114608 + 0.993411i \(0.536561\pi\)
\(140\) −0.351397 0.318894i −0.0296985 0.0269515i
\(141\) −15.3401 + 6.95717i −1.29187 + 0.585899i
\(142\) −4.50679 + 6.17765i −0.378202 + 0.518417i
\(143\) −4.13394 3.46879i −0.345697 0.290075i
\(144\) 11.7791 2.29181i 0.981593 0.190984i
\(145\) −3.99181 + 3.34952i −0.331502 + 0.278163i
\(146\) 1.56763 + 23.0656i 0.129738 + 1.90893i
\(147\) 7.91879 + 9.08953i 0.653131 + 0.749692i
\(148\) −11.9404 4.87860i −0.981496 0.401019i
\(149\) −2.57862 5.97792i −0.211249 0.489730i 0.779340 0.626601i \(-0.215555\pi\)
−0.990589 + 0.136871i \(0.956295\pi\)
\(150\) 8.79201 + 0.263441i 0.717865 + 0.0215099i
\(151\) −10.4777 20.8629i −0.852665 1.69780i −0.705531 0.708680i \(-0.749291\pi\)
−0.147135 0.989116i \(-0.547005\pi\)
\(152\) 12.5000 0.363165i 1.01388 0.0294566i
\(153\) −16.0886 + 7.65942i −1.30069 + 0.619227i
\(154\) −0.219255 0.141185i −0.0176681 0.0113770i
\(155\) −0.298075 0.281219i −0.0239420 0.0225881i
\(156\) 17.7501 9.77373i 1.42115 0.782524i
\(157\) 1.47356 + 2.24043i 0.117603 + 0.178806i 0.889492 0.456951i \(-0.151058\pi\)
−0.771889 + 0.635757i \(0.780688\pi\)
\(158\) 6.84118 + 18.2444i 0.544255 + 1.45145i
\(159\) −10.3863 4.25358i −0.823685 0.337331i
\(160\) 4.92903 4.56012i 0.389674 0.360509i
\(161\) 0.618030i 0.0487076i
\(162\) 9.03073 8.96917i 0.709521 0.704684i
\(163\) −0.288878 −0.0226267 −0.0113133 0.999936i \(-0.503601\pi\)
−0.0113133 + 0.999936i \(0.503601\pi\)
\(164\) 3.03887 + 7.87157i 0.237296 + 0.614666i
\(165\) −1.87957 + 0.255096i −0.146324 + 0.0198592i
\(166\) −3.55920 9.49187i −0.276247 0.736712i
\(167\) −0.00324810 + 0.00213631i −0.000251346 + 0.000165313i −0.549635 0.835405i \(-0.685233\pi\)
0.549383 + 0.835570i \(0.314863\pi\)
\(168\) 0.791583 0.576383i 0.0610720 0.0444689i
\(169\) 14.5593 15.4320i 1.11995 1.18708i
\(170\) −5.39824 + 8.38330i −0.414026 + 0.642970i
\(171\) 10.8039 7.69444i 0.826198 0.588408i
\(172\) 3.88164 5.43038i 0.295972 0.414063i
\(173\) 5.19693 2.61000i 0.395115 0.198434i −0.240137 0.970739i \(-0.577192\pi\)
0.635252 + 0.772305i \(0.280896\pi\)
\(174\) −5.09513 9.46914i −0.386261 0.717853i
\(175\) 0.659046 0.284285i 0.0498192 0.0214899i
\(176\) 2.26082 2.91661i 0.170415 0.219848i
\(177\) −0.491710 2.51502i −0.0369592 0.189040i
\(178\) 7.09882 0.482462i 0.532079 0.0361620i
\(179\) −5.19785 6.19456i −0.388506 0.463003i 0.535974 0.844235i \(-0.319945\pi\)
−0.924480 + 0.381231i \(0.875500\pi\)
\(180\) 1.65450 6.92741i 0.123319 0.516338i
\(181\) −5.39071 + 6.42440i −0.400689 + 0.477522i −0.928230 0.372007i \(-0.878670\pi\)
0.527541 + 0.849529i \(0.323114\pi\)
\(182\) 0.974490 1.33577i 0.0722340 0.0990142i
\(183\) −4.95452 + 6.91930i −0.366249 + 0.511489i
\(184\) −8.71232 0.762614i −0.642281 0.0562206i
\(185\) −5.56847 + 5.25358i −0.409402 + 0.386251i
\(186\) 0.693116 0.484431i 0.0508218 0.0355202i
\(187\) −2.17038 + 5.03151i −0.158714 + 0.367941i
\(188\) −13.6187 13.8862i −0.993243 1.01275i
\(189\) 0.357711 0.975047i 0.0260196 0.0709242i
\(190\) 2.87364 6.84326i 0.208476 0.496462i
\(191\) 11.9618 1.39814i 0.865527 0.101166i 0.328270 0.944584i \(-0.393534\pi\)
0.537257 + 0.843418i \(0.319460\pi\)
\(192\) 7.14846 + 11.8701i 0.515895 + 0.856652i
\(193\) −20.0301 + 4.74722i −1.44180 + 0.341713i −0.875792 0.482688i \(-0.839660\pi\)
−0.566006 + 0.824401i \(0.691512\pi\)
\(194\) 8.90801 7.62289i 0.639558 0.547291i
\(195\) −0.921758 11.9912i −0.0660085 0.858706i
\(196\) −6.72533 + 12.1877i −0.480381 + 0.870547i
\(197\) −0.895447 + 5.07833i −0.0637979 + 0.361816i 0.936150 + 0.351601i \(0.114363\pi\)
−0.999948 + 0.0102149i \(0.996748\pi\)
\(198\) 0.272167 3.90462i 0.0193420 0.277489i
\(199\) −5.00691 + 0.882854i −0.354931 + 0.0625838i −0.348271 0.937394i \(-0.613231\pi\)
−0.00665984 + 0.999978i \(0.502120\pi\)
\(200\) 3.19431 + 9.64131i 0.225872 + 0.681744i
\(201\) 10.4655 6.30380i 0.738178 0.444636i
\(202\) 12.1588 0.117722i 0.855493 0.00828287i
\(203\) −0.703808 0.523966i −0.0493977 0.0367752i
\(204\) −14.6767 14.4202i −1.02758 1.00962i
\(205\) 4.99953 + 0.291189i 0.349182 + 0.0203375i
\(206\) −15.0633 13.9384i −1.04951 0.971133i
\(207\) −8.12942 + 4.46759i −0.565034 + 0.310519i
\(208\) 17.6278 + 15.3856i 1.22227 + 1.06680i
\(209\) 0.940660 3.96896i 0.0650668 0.274538i
\(210\) −0.117030 0.569266i −0.00807585 0.0392831i
\(211\) −1.13332 19.4583i −0.0780207 1.33956i −0.779288 0.626665i \(-0.784419\pi\)
0.701268 0.712898i \(-0.252618\pi\)
\(212\) 0.502900 12.9501i 0.0345393 0.889413i
\(213\) −8.92067 + 2.85192i −0.611234 + 0.195411i
\(214\) −7.43065 + 7.14769i −0.507949 + 0.488606i
\(215\) −1.98089 3.43099i −0.135095 0.233992i
\(216\) 13.3038 + 6.24578i 0.905207 + 0.424971i
\(217\) 0.0345014 0.0597581i 0.00234210 0.00405664i
\(218\) 2.85086 + 11.5301i 0.193085 + 0.780918i
\(219\) −15.1179 + 23.9410i −1.02157 + 1.61778i
\(220\) −1.02069 1.93787i −0.0688148 0.130651i
\(221\) −31.0479 15.5928i −2.08851 1.04889i
\(222\) −8.28168 13.4527i −0.555830 0.902887i
\(223\) −17.3230 + 5.18618i −1.16004 + 0.347292i −0.808280 0.588799i \(-0.799601\pi\)
−0.351757 + 0.936091i \(0.614416\pi\)
\(224\) 0.938551 + 0.630515i 0.0627096 + 0.0421281i
\(225\) 8.50350 + 6.61392i 0.566900 + 0.440928i
\(226\) −0.965198 + 4.25569i −0.0642040 + 0.283084i
\(227\) 2.46549 3.74860i 0.163640 0.248803i −0.744354 0.667785i \(-0.767243\pi\)
0.907995 + 0.418982i \(0.137613\pi\)
\(228\) 12.6229 + 8.67382i 0.835972 + 0.574438i
\(229\) −1.66251 + 14.2236i −0.109861 + 0.939925i 0.820088 + 0.572237i \(0.193924\pi\)
−0.929950 + 0.367687i \(0.880150\pi\)
\(230\) −2.55171 + 4.52020i −0.168255 + 0.298053i
\(231\) −0.114783 0.298050i −0.00755216 0.0196103i
\(232\) 8.25477 9.27499i 0.541952 0.608933i
\(233\) −9.97479 + 27.4055i −0.653470 + 1.79539i −0.0489549 + 0.998801i \(0.515589\pi\)
−0.604515 + 0.796594i \(0.706633\pi\)
\(234\) 24.6148 + 3.16223i 1.60912 + 0.206722i
\(235\) −10.8476 + 3.94822i −0.707623 + 0.257554i
\(236\) 2.53351 1.52888i 0.164917 0.0995216i
\(237\) −6.41924 + 22.9844i −0.416975 + 1.49300i
\(238\) −1.58318 0.558932i −0.102622 0.0362302i
\(239\) 4.57863 15.2937i 0.296167 0.989267i −0.672332 0.740250i \(-0.734707\pi\)
0.968499 0.249017i \(-0.0801075\pi\)
\(240\) 8.16931 0.947323i 0.527327 0.0611495i
\(241\) 1.25657 + 1.68787i 0.0809431 + 0.108725i 0.840750 0.541423i \(-0.182114\pi\)
−0.759807 + 0.650148i \(0.774707\pi\)
\(242\) 8.68189 + 11.4291i 0.558093 + 0.734691i
\(243\) 15.4114 2.34313i 0.988639 0.150312i
\(244\) −9.46674 2.63554i −0.606046 0.168723i
\(245\) 4.93364 + 6.62703i 0.315199 + 0.423385i
\(246\) −2.68332 + 9.97969i −0.171082 + 0.636282i
\(247\) 24.7756 + 7.41732i 1.57643 + 0.471953i
\(248\) 0.799833 + 0.560101i 0.0507894 + 0.0355665i
\(249\) 3.33968 11.9579i 0.211644 0.757802i
\(250\) 14.3399 + 1.53551i 0.906933 + 0.0971145i
\(251\) 5.02625 + 13.8095i 0.317254 + 0.871648i 0.991141 + 0.132814i \(0.0424012\pi\)
−0.673887 + 0.738834i \(0.735377\pi\)
\(252\) 1.19926 + 0.00207692i 0.0755463 + 0.000130834i
\(253\) −0.975648 + 2.68057i −0.0613385 + 0.168526i
\(254\) −9.23027 + 18.8314i −0.579159 + 1.18159i
\(255\) −11.3961 + 4.38877i −0.713648 + 0.274835i
\(256\) −10.0464 + 12.4527i −0.627903 + 0.778292i
\(257\) −2.57267 + 22.0106i −0.160479 + 1.37298i 0.637571 + 0.770392i \(0.279939\pi\)
−0.798050 + 0.602592i \(0.794135\pi\)
\(258\) 7.76249 2.56475i 0.483272 0.159675i
\(259\) −1.07700 0.708355i −0.0669216 0.0440151i
\(260\) 12.6424 5.74625i 0.784050 0.356367i
\(261\) 1.80447 13.0454i 0.111694 0.807487i
\(262\) 15.3932 + 0.747092i 0.950993 + 0.0461555i
\(263\) −6.84239 22.8552i −0.421920 1.40931i −0.859963 0.510357i \(-0.829513\pi\)
0.438043 0.898954i \(-0.355672\pi\)
\(264\) 4.34322 1.25031i 0.267307 0.0769512i
\(265\) −6.87374 3.45212i −0.422251 0.212062i
\(266\) 1.23282 + 0.205092i 0.0755888 + 0.0125750i
\(267\) 7.36822 + 4.65278i 0.450928 + 0.284745i
\(268\) 10.9805 + 8.85712i 0.670738 + 0.541035i
\(269\) 3.16204 5.47681i 0.192793 0.333927i −0.753382 0.657583i \(-0.771579\pi\)
0.946175 + 0.323656i \(0.104912\pi\)
\(270\) 6.64202 5.65448i 0.404220 0.344120i
\(271\) −11.4412 + 6.60560i −0.695006 + 0.401262i −0.805485 0.592617i \(-0.798095\pi\)
0.110479 + 0.993878i \(0.464762\pi\)
\(272\) 9.83277 21.6282i 0.596199 1.31141i
\(273\) 1.92889 0.616663i 0.116742 0.0373221i
\(274\) −16.5011 + 20.0565i −0.996870 + 1.21166i
\(275\) 3.30725 0.192626i 0.199435 0.0116158i
\(276\) −8.06398 7.04993i −0.485394 0.424356i
\(277\) 2.16428 9.13180i 0.130039 0.548677i −0.868552 0.495599i \(-0.834949\pi\)
0.998590 0.0530779i \(-0.0169032\pi\)
\(278\) −19.0948 + 9.82239i −1.14523 + 0.589108i
\(279\) 1.03545 + 0.0218462i 0.0619905 + 0.00130790i
\(280\) 0.571182 0.352276i 0.0341346 0.0210525i
\(281\) −13.2889 0.773989i −0.792748 0.0461723i −0.343009 0.939332i \(-0.611446\pi\)
−0.449739 + 0.893160i \(0.648483\pi\)
\(282\) −3.43201 23.5725i −0.204373 1.40372i
\(283\) −8.26403 + 11.1005i −0.491246 + 0.659857i −0.976751 0.214376i \(-0.931228\pi\)
0.485505 + 0.874234i \(0.338636\pi\)
\(284\) −6.62460 8.54774i −0.393097 0.507215i
\(285\) 7.78674 4.69028i 0.461247 0.277828i
\(286\) 6.33535 4.25526i 0.374617 0.251619i
\(287\) 0.146431 + 0.830450i 0.00864353 + 0.0490199i
\(288\) −1.50910 + 16.9033i −0.0889245 + 0.996038i
\(289\) −3.17412 + 18.0013i −0.186713 + 1.05890i
\(290\) −2.98423 6.73810i −0.175240 0.395675i
\(291\) 14.3171 1.10055i 0.839286 0.0645157i
\(292\) −31.9537 6.92259i −1.86995 0.405114i
\(293\) −28.2998 + 6.70718i −1.65329 + 0.391838i −0.948300 0.317377i \(-0.897198\pi\)
−0.704993 + 0.709214i \(0.749050\pi\)
\(294\) −15.4575 + 7.19165i −0.901499 + 0.419426i
\(295\) −0.203891 1.74440i −0.0118710 0.101563i
\(296\) 11.3146 14.3083i 0.657647 0.831656i
\(297\) 3.09074 3.66436i 0.179343 0.212628i
\(298\) 9.13401 1.15736i 0.529119 0.0670439i
\(299\) −16.6076 7.16381i −0.960441 0.414294i
\(300\) −3.80849 + 11.8420i −0.219883 + 0.683699i
\(301\) 0.485227 0.457788i 0.0279680 0.0263865i
\(302\) 32.4578 6.04777i 1.86774 0.348010i
\(303\) 12.1082 + 8.66999i 0.695597 + 0.498078i
\(304\) −4.41240 + 17.1258i −0.253068 + 0.982234i
\(305\) −3.74898 + 4.46786i −0.214666 + 0.255829i
\(306\) −4.09235 24.8651i −0.233944 1.42145i
\(307\) −2.92274 + 2.45247i −0.166809 + 0.139970i −0.722371 0.691506i \(-0.756948\pi\)
0.555562 + 0.831475i \(0.312503\pi\)
\(308\) 0.277873 0.242484i 0.0158333 0.0138168i
\(309\) −4.82285 24.6681i −0.274362 1.40332i
\(310\) 0.499067 0.294616i 0.0283451 0.0167330i
\(311\) 7.65351 + 17.7428i 0.433991 + 1.00610i 0.985149 + 0.171703i \(0.0549270\pi\)
−0.551158 + 0.834401i \(0.685814\pi\)
\(312\) 6.31291 + 27.9523i 0.357398 + 1.58249i
\(313\) 17.7325 8.90562i 1.00230 0.503375i 0.129568 0.991571i \(-0.458641\pi\)
0.872735 + 0.488195i \(0.162345\pi\)
\(314\) −3.62232 + 1.12278i −0.204419 + 0.0633620i
\(315\) 0.295648 0.647482i 0.0166579 0.0364815i
\(316\) −27.4730 + 2.13456i −1.54548 + 0.120079i
\(317\) 6.36884 6.75057i 0.357709 0.379150i −0.523380 0.852099i \(-0.675329\pi\)
0.881090 + 0.472949i \(0.156811\pi\)
\(318\) 9.85544 12.4421i 0.552666 0.697717i
\(319\) −2.22546 3.38365i −0.124602 0.189448i
\(320\) 4.26120 + 8.48660i 0.238208 + 0.474415i
\(321\) −12.5129 + 1.69826i −0.698400 + 0.0947874i
\(322\) −0.839696 0.242555i −0.0467944 0.0135171i
\(323\) 26.2607i 1.46118i
\(324\) 8.64185 + 15.7898i 0.480103 + 0.877212i
\(325\) 21.0050i 1.16515i
\(326\) 0.113375 0.392488i 0.00627924 0.0217379i
\(327\) −5.51302 + 13.4615i −0.304871 + 0.744425i
\(328\) −11.8875 + 1.03950i −0.656376 + 0.0573965i
\(329\) −1.06813 1.62401i −0.0588877 0.0895344i
\(330\) 0.391075 2.65382i 0.0215280 0.146088i
\(331\) −21.6557 + 22.9537i −1.19030 + 1.26165i −0.233030 + 0.972470i \(0.574864\pi\)
−0.957275 + 0.289179i \(0.906618\pi\)
\(332\) 14.2931 1.11053i 0.784437 0.0609483i
\(333\) 1.53216 19.2872i 0.0839618 1.05693i
\(334\) −0.00162776 0.00525151i −8.90673e−5 0.000287350i
\(335\) 7.48241 3.75781i 0.408808 0.205311i
\(336\) 0.472442 + 1.30171i 0.0257738 + 0.0710139i
\(337\) −3.75786 8.71169i −0.204703 0.474556i 0.784677 0.619905i \(-0.212829\pi\)
−0.989380 + 0.145349i \(0.953570\pi\)
\(338\) 15.2529 + 25.8378i 0.829647 + 1.40539i
\(339\) −4.02973 + 3.51069i −0.218865 + 0.190675i
\(340\) −9.27148 10.6246i −0.502817 0.576198i
\(341\) 0.243979 0.204723i 0.0132122 0.0110863i
\(342\) 6.21399 + 17.6987i 0.336014 + 0.957038i
\(343\) −1.79357 + 2.13749i −0.0968435 + 0.115414i
\(344\) 5.85466 + 7.40509i 0.315662 + 0.399256i
\(345\) −5.78968 + 2.62579i −0.311706 + 0.141368i
\(346\) 1.50650 + 8.08523i 0.0809897 + 0.434664i
\(347\) 18.9455 17.8741i 1.01705 0.959534i 0.0178592 0.999841i \(-0.494315\pi\)
0.999187 + 0.0403066i \(0.0128335\pi\)
\(348\) 14.8650 3.20627i 0.796850 0.171874i
\(349\) 17.1615 + 7.40275i 0.918634 + 0.396260i 0.802280 0.596948i \(-0.203620\pi\)
0.116354 + 0.993208i \(0.462879\pi\)
\(350\) 0.127595 + 1.00699i 0.00682023 + 0.0538261i
\(351\) 22.0549 + 20.9145i 1.17720 + 1.11633i
\(352\) 3.07541 + 4.21636i 0.163920 + 0.224733i
\(353\) 0.225940 + 1.93304i 0.0120256 + 0.102886i 0.997918 0.0644943i \(-0.0205434\pi\)
−0.985892 + 0.167380i \(0.946469\pi\)
\(354\) 3.61005 + 0.318989i 0.191872 + 0.0169540i
\(355\) −6.24549 + 1.48021i −0.331476 + 0.0785613i
\(356\) −2.13054 + 9.83427i −0.112918 + 0.521215i
\(357\) −1.16160 1.69675i −0.0614785 0.0898016i
\(358\) 10.4563 4.63099i 0.552633 0.244755i
\(359\) 3.29090 18.6636i 0.173687 0.985029i −0.765961 0.642887i \(-0.777736\pi\)
0.939648 0.342142i \(-0.111152\pi\)
\(360\) 8.76269 + 4.96668i 0.461834 + 0.261767i
\(361\) 0.0951128 + 0.539411i 0.00500593 + 0.0283901i
\(362\) −6.61294 9.84553i −0.347568 0.517470i
\(363\) 0.325906 + 17.5754i 0.0171056 + 0.922467i
\(364\) 1.43242 + 1.84825i 0.0750790 + 0.0968746i
\(365\) −11.5879 + 15.5653i −0.606541 + 0.814726i
\(366\) −7.45653 9.44712i −0.389759 0.493809i
\(367\) −31.9911 1.86327i −1.66992 0.0972620i −0.803089 0.595859i \(-0.796812\pi\)
−0.866834 + 0.498597i \(0.833849\pi\)
\(368\) 4.45542 11.5378i 0.232255 0.601451i
\(369\) −9.86504 + 7.92924i −0.513553 + 0.412780i
\(370\) −4.95243 9.62754i −0.257464 0.500512i
\(371\) 0.298690 1.26027i 0.0155072 0.0654301i
\(372\) 0.386156 + 1.13184i 0.0200212 + 0.0586829i
\(373\) 5.01685 0.292198i 0.259763 0.0151295i 0.0722308 0.997388i \(-0.476988\pi\)
0.187532 + 0.982258i \(0.439951\pi\)
\(374\) −5.98434 4.92352i −0.309443 0.254589i
\(375\) 13.0702 + 11.8809i 0.674941 + 0.613525i
\(376\) 24.2115 13.0534i 1.24861 0.673175i
\(377\) 22.2380 12.8391i 1.14532 0.661248i
\(378\) 1.18437 + 0.868681i 0.0609176 + 0.0446802i
\(379\) 10.0296 17.3718i 0.515186 0.892329i −0.484658 0.874704i \(-0.661056\pi\)
0.999845 0.0176255i \(-0.00561065\pi\)
\(380\) 8.16990 + 6.59005i 0.419107 + 0.338063i
\(381\) −22.7354 + 11.9511i −1.16477 + 0.612271i
\(382\) −2.79500 + 16.8008i −0.143005 + 0.859606i
\(383\) −18.8476 9.46564i −0.963069 0.483671i −0.103466 0.994633i \(-0.532993\pi\)
−0.859604 + 0.510962i \(0.829289\pi\)
\(384\) −18.9330 + 5.05375i −0.966172 + 0.257898i
\(385\) −0.0627781 0.209693i −0.00319947 0.0106870i
\(386\) 1.41124 29.0773i 0.0718302 1.48000i
\(387\) 9.52922 + 3.07333i 0.484398 + 0.156226i
\(388\) 6.86086 + 15.0947i 0.348308 + 0.766319i
\(389\) 26.8432 + 17.6550i 1.36100 + 0.895146i 0.999310 0.0371516i \(-0.0118284\pi\)
0.361693 + 0.932297i \(0.382199\pi\)
\(390\) 16.6537 + 3.45376i 0.843295 + 0.174888i
\(391\) −2.13211 + 18.2414i −0.107826 + 0.922507i
\(392\) −13.9195 13.9207i −0.703040 0.703102i
\(393\) 14.6815 + 11.8624i 0.740582 + 0.598379i
\(394\) −6.54832 3.20968i −0.329899 0.161701i
\(395\) −5.59371 + 15.3686i −0.281450 + 0.773278i
\(396\) 5.19826 + 1.90221i 0.261222 + 0.0955898i
\(397\) 10.4674 + 28.7589i 0.525344 + 1.44337i 0.864497 + 0.502639i \(0.167637\pi\)
−0.339153 + 0.940731i \(0.610140\pi\)
\(398\) 0.765538 7.14921i 0.0383729 0.358357i
\(399\) 1.07085 + 1.09368i 0.0536094 + 0.0547524i
\(400\) −14.3530 + 0.556122i −0.717649 + 0.0278061i
\(401\) 0.236379 + 0.0707673i 0.0118042 + 0.00353395i 0.292700 0.956204i \(-0.405446\pi\)
−0.280896 + 0.959738i \(0.590631\pi\)
\(402\) 4.45742 + 16.6931i 0.222316 + 0.832577i
\(403\) 1.20589 + 1.61979i 0.0600696 + 0.0806875i
\(404\) −4.61198 + 16.5660i −0.229455 + 0.824189i
\(405\) 10.6540 0.791604i 0.529401 0.0393351i
\(406\) 0.988114 0.750601i 0.0490393 0.0372517i
\(407\) −3.55302 4.77254i −0.176117 0.236566i
\(408\) 25.3523 14.2813i 1.25513 0.707030i
\(409\) 4.29854 14.3581i 0.212549 0.709963i −0.783519 0.621368i \(-0.786577\pi\)
0.996068 0.0885947i \(-0.0282376\pi\)
\(410\) −2.35777 + 6.67840i −0.116442 + 0.329823i
\(411\) −30.8104 + 7.90829i −1.51977 + 0.390087i
\(412\) 24.8494 14.9957i 1.22424 0.738786i
\(413\) 0.277892 0.101144i 0.0136741 0.00497698i
\(414\) −2.87944 12.7985i −0.141517 0.629014i
\(415\) 2.91019 7.99568i 0.142856 0.392493i
\(416\) −27.8222 + 17.9120i −1.36409 + 0.878209i
\(417\) −25.9796 4.08580i −1.27223 0.200082i
\(418\) 5.02331 + 2.83572i 0.245698 + 0.138700i
\(419\) −0.467733 + 4.00171i −0.0228503 + 0.195497i −0.999842 0.0177811i \(-0.994340\pi\)
0.976992 + 0.213278i \(0.0684139\pi\)
\(420\) 0.819372 + 0.0644125i 0.0399813 + 0.00314301i
\(421\) −15.7036 + 23.8762i −0.765347 + 1.16365i 0.216924 + 0.976188i \(0.430398\pi\)
−0.982271 + 0.187465i \(0.939973\pi\)
\(422\) 26.8821 + 6.09691i 1.30860 + 0.296793i
\(423\) 13.6406 25.7894i 0.663228 1.25392i
\(424\) 17.3974 + 5.76572i 0.844893 + 0.280008i
\(425\) 20.4327 6.11716i 0.991134 0.296726i
\(426\) −0.373756 13.2395i −0.0181085 0.641455i
\(427\) −0.877612 0.440753i −0.0424706 0.0213295i
\(428\) −6.79504 12.9010i −0.328451 0.623593i
\(429\) 9.33963 + 0.370383i 0.450922 + 0.0178823i
\(430\) 5.43900 1.34481i 0.262292 0.0648527i
\(431\) −19.7689 + 34.2407i −0.952233 + 1.64932i −0.211658 + 0.977344i \(0.567886\pi\)
−0.740576 + 0.671973i \(0.765447\pi\)
\(432\) −13.7072 + 15.6241i −0.659487 + 0.751716i
\(433\) 10.5262 + 18.2318i 0.505855 + 0.876166i 0.999977 + 0.00677350i \(0.00215609\pi\)
−0.494123 + 0.869392i \(0.664511\pi\)
\(434\) 0.0676506 + 0.0703288i 0.00324733 + 0.00337589i
\(435\) 1.91826 8.81940i 0.0919737 0.422858i
\(436\) −16.7844 0.651803i −0.803829 0.0312157i
\(437\) −0.794887 13.6477i −0.0380246 0.652857i
\(438\) −26.5945 29.9362i −1.27074 1.43041i
\(439\) 8.96346 37.8198i 0.427803 1.80504i −0.149792 0.988718i \(-0.547860\pi\)
0.577594 0.816324i \(-0.303992\pi\)
\(440\) 3.03350 0.626228i 0.144616 0.0298543i
\(441\) −20.4819 4.05874i −0.975327 0.193273i
\(442\) 33.3707 36.0640i 1.58728 1.71539i
\(443\) −26.4456 1.54028i −1.25647 0.0731809i −0.583045 0.812440i \(-0.698139\pi\)
−0.673422 + 0.739259i \(0.735176\pi\)
\(444\) 21.5280 5.97231i 1.02167 0.283433i
\(445\) 4.79047 + 3.56637i 0.227090 + 0.169062i
\(446\) −0.247584 25.5716i −0.0117234 1.21085i
\(447\) 9.86840 + 5.45612i 0.466759 + 0.258065i
\(448\) −1.22501 + 1.02772i −0.0578762 + 0.0485553i
\(449\) 29.8509 5.26352i 1.40875 0.248401i 0.583017 0.812460i \(-0.301872\pi\)
0.825735 + 0.564059i \(0.190761\pi\)
\(450\) −12.3234 + 8.95767i −0.580932 + 0.422269i
\(451\) −0.675872 + 3.83306i −0.0318256 + 0.180492i
\(452\) −5.40324 2.98159i −0.254147 0.140242i
\(453\) 36.4658 + 17.4749i 1.71331 + 0.821041i
\(454\) 4.12547 + 4.82097i 0.193618 + 0.226259i
\(455\) 1.35044 0.320061i 0.0633098 0.0150047i
\(456\) −16.7389 + 13.7461i −0.783869 + 0.643721i
\(457\) 14.1756 1.65689i 0.663107 0.0775061i 0.222120 0.975019i \(-0.428702\pi\)
0.440987 + 0.897513i \(0.354628\pi\)
\(458\) −18.6727 7.84107i −0.872517 0.366389i
\(459\) 13.9217 27.5448i 0.649812 1.28568i
\(460\) −5.13998 5.24094i −0.239653 0.244360i
\(461\) −6.16845 + 14.3001i −0.287293 + 0.666021i −0.999348 0.0361031i \(-0.988506\pi\)
0.712055 + 0.702124i \(0.247765\pi\)
\(462\) 0.449998 0.0389772i 0.0209358 0.00181338i
\(463\) 15.8415 14.9457i 0.736219 0.694587i −0.223764 0.974643i \(-0.571835\pi\)
0.959984 + 0.280056i \(0.0903531\pi\)
\(464\) 9.36189 + 14.8556i 0.434615 + 0.689653i
\(465\) 0.706396 + 0.0693166i 0.0327583 + 0.00321448i
\(466\) −33.3201 24.3081i −1.54353 1.12605i
\(467\) 8.71110 10.3815i 0.403102 0.480398i −0.525861 0.850570i \(-0.676257\pi\)
0.928963 + 0.370173i \(0.120701\pi\)
\(468\) −13.9569 + 32.2022i −0.645157 + 1.48855i
\(469\) 0.906250 + 1.08003i 0.0418467 + 0.0498710i
\(470\) −1.10698 16.2879i −0.0510613 0.751303i
\(471\) −4.39324 1.50737i −0.202430 0.0694559i
\(472\) 1.08292 + 4.04222i 0.0498455 + 0.186058i
\(473\) 2.82725 1.21956i 0.129997 0.0560753i
\(474\) −28.7088 17.7422i −1.31864 0.814926i
\(475\) −14.1878 + 7.12538i −0.650981 + 0.326935i
\(476\) 1.38074 1.93165i 0.0632863 0.0885369i
\(477\) 18.7365 5.18131i 0.857886 0.237236i
\(478\) 18.9821 + 12.2231i 0.868219 + 0.559070i
\(479\) 23.9722 25.4091i 1.09532 1.16097i 0.109357 0.994003i \(-0.465121\pi\)
0.985962 0.166968i \(-0.0533977\pi\)
\(480\) −1.91908 + 11.4712i −0.0875935 + 0.523584i
\(481\) 31.5187 20.7302i 1.43713 0.945215i
\(482\) −2.78642 + 1.04483i −0.126918 + 0.0475908i
\(483\) −0.655043 0.846641i −0.0298055 0.0385235i
\(484\) −18.9357 + 7.31025i −0.860712 + 0.332284i
\(485\) 9.84103 0.446858
\(486\) −2.86489 + 21.8585i −0.129954 + 0.991520i
\(487\) 4.62492i 0.209575i 0.994495 + 0.104788i \(0.0334163\pi\)
−0.994495 + 0.104788i \(0.966584\pi\)
\(488\) 7.29619 11.8278i 0.330283 0.535418i
\(489\) 0.395735 0.306179i 0.0178957 0.0138459i
\(490\) −10.9402 + 4.10228i −0.494228 + 0.185322i
\(491\) −15.3075 23.2739i −0.690816 1.05033i −0.995207 0.0977873i \(-0.968824\pi\)
0.304392 0.952547i \(-0.401547\pi\)
\(492\) −12.5060 7.56241i −0.563812 0.340940i
\(493\) −18.9656 17.8931i −0.854166 0.805864i
\(494\) −19.8012 + 30.7507i −0.890899 + 1.38354i
\(495\) 2.30445 2.34159i 0.103577 0.105247i
\(496\) −1.07490 + 0.866884i −0.0482643 + 0.0389243i
\(497\) −0.485047 0.965807i −0.0217573 0.0433224i
\(498\) 14.9361 + 9.23058i 0.669302 + 0.413632i
\(499\) 10.8495 + 25.1520i 0.485691 + 1.12596i 0.968225 + 0.250081i \(0.0804574\pi\)
−0.482534 + 0.875877i \(0.660283\pi\)
\(500\) −7.71415 + 18.8804i −0.344987 + 0.844359i
\(501\) 0.00218533 0.00636917i 9.76335e−5 0.000284554i
\(502\) −20.7351 + 1.40924i −0.925454 + 0.0628972i
\(503\) −11.2789 + 9.46413i −0.502902 + 0.421985i −0.858623 0.512607i \(-0.828680\pi\)
0.355721 + 0.934592i \(0.384235\pi\)
\(504\) −0.473490 + 1.62858i −0.0210909 + 0.0725427i
\(505\) 7.81838 + 6.56040i 0.347913 + 0.291934i
\(506\) −3.25909 2.37761i −0.144884 0.105698i
\(507\) −3.58867 + 36.5716i −0.159379 + 1.62420i
\(508\) −21.9630 19.9315i −0.974450 0.884318i
\(509\) −26.7246 28.3264i −1.18455 1.25555i −0.959661 0.281161i \(-0.909281\pi\)
−0.224886 0.974385i \(-0.572201\pi\)
\(510\) −1.49031 17.2059i −0.0659918 0.761888i
\(511\) −3.00026 1.29419i −0.132724 0.0572515i
\(512\) −12.9761 18.5370i −0.573469 0.819227i
\(513\) −6.64511 + 21.9916i −0.293389 + 0.970954i
\(514\) −28.8953 12.1338i −1.27452 0.535199i
\(515\) −1.99982 17.1096i −0.0881227 0.753938i
\(516\) 0.438129 + 11.5532i 0.0192876 + 0.508602i
\(517\) −2.06904 8.72997i −0.0909963 0.383943i
\(518\) 1.38510 1.18528i 0.0608580 0.0520782i
\(519\) −4.35299 + 9.08362i −0.191075 + 0.398727i
\(520\) 2.84551 + 19.4320i 0.124784 + 0.852151i
\(521\) −8.73098 1.53951i −0.382511 0.0674470i −0.0209135 0.999781i \(-0.506657\pi\)
−0.361598 + 0.932334i \(0.617769\pi\)
\(522\) 17.0161 + 7.57152i 0.744773 + 0.331396i
\(523\) −1.62160 9.19658i −0.0709078 0.402138i −0.999517 0.0310788i \(-0.990106\pi\)
0.928609 0.371059i \(-0.121005\pi\)
\(524\) −7.05634 + 20.6210i −0.308257 + 0.900831i
\(525\) −0.601519 + 1.08796i −0.0262524 + 0.0474824i
\(526\) 33.7379 0.326650i 1.47104 0.0142426i
\(527\) 1.22448 1.64476i 0.0533391 0.0716468i
\(528\) −0.00581447 + 6.39169i −0.000253042 + 0.278163i
\(529\) 0.781422 13.4165i 0.0339749 0.583326i
\(530\) 7.38799 7.98427i 0.320914 0.346815i
\(531\) 3.33924 + 2.92417i 0.144911 + 0.126898i
\(532\) −0.762490 + 1.59449i −0.0330581 + 0.0691300i
\(533\) −24.0130 5.69119i −1.04012 0.246513i
\(534\) −9.21334 + 8.18489i −0.398700 + 0.354195i
\(535\) −8.63953 + 0.503195i −0.373519 + 0.0217550i
\(536\) −16.3433 + 11.4426i −0.705924 + 0.494247i
\(537\) 13.6861 + 2.97680i 0.590599 + 0.128458i
\(538\) 6.20016 + 6.44561i 0.267308 + 0.277890i
\(539\) −5.56081 + 3.21054i −0.239521 + 0.138288i
\(540\) 5.07578 + 11.2435i 0.218427 + 0.483842i
\(541\) −12.1513 7.01554i −0.522424 0.301621i 0.215502 0.976503i \(-0.430861\pi\)
−0.737926 + 0.674882i \(0.764195\pi\)
\(542\) −4.48451 18.1373i −0.192626 0.779063i
\(543\) 0.575599 14.5144i 0.0247013 0.622871i
\(544\) 25.5265 + 21.8478i 1.09444 + 0.936716i
\(545\) −4.47426 + 8.90899i −0.191656 + 0.381619i
\(546\) 0.0808161 + 2.86273i 0.00345861 + 0.122514i
\(547\) −4.05603 13.5481i −0.173423 0.579274i −0.999868 0.0162560i \(-0.994825\pi\)
0.826445 0.563018i \(-0.190360\pi\)
\(548\) −20.7739 30.2910i −0.887417 1.29397i
\(549\) −0.546475 14.7300i −0.0233230 0.628661i
\(550\) −1.03627 + 4.56905i −0.0441867 + 0.194825i
\(551\) 16.2158 + 10.6653i 0.690816 + 0.454357i
\(552\) 12.7433 8.18939i 0.542392 0.348564i
\(553\) −2.73527 0.319707i −0.116315 0.0135953i
\(554\) 11.5577 + 6.52444i 0.491038 + 0.277197i
\(555\) 2.06005 13.0989i 0.0874443 0.556016i
\(556\) −5.85130 29.7983i −0.248150 1.26373i
\(557\) 11.0789 + 4.03241i 0.469430 + 0.170858i 0.565894 0.824478i \(-0.308531\pi\)
−0.0964642 + 0.995336i \(0.530753\pi\)
\(558\) −0.436059 + 1.39825i −0.0184598 + 0.0591927i
\(559\) 6.67714 + 18.3453i 0.282413 + 0.775923i
\(560\) 0.254456 + 0.914301i 0.0107527 + 0.0386363i
\(561\) −2.35963 9.19305i −0.0996238 0.388131i
\(562\) 6.26701 17.7514i 0.264358 0.748796i
\(563\) 3.51376 + 1.05195i 0.148087 + 0.0443345i 0.359989 0.932957i \(-0.382780\pi\)
−0.211902 + 0.977291i \(0.567966\pi\)
\(564\) 33.3740 + 4.58843i 1.40530 + 0.193208i
\(565\) −2.93801 + 2.18727i −0.123603 + 0.0920190i
\(566\) −11.8385 15.5846i −0.497611 0.655071i
\(567\) 0.543413 + 1.71485i 0.0228212 + 0.0720171i
\(568\) 14.2134 5.64592i 0.596383 0.236897i
\(569\) −11.1808 + 8.32379i −0.468723 + 0.348951i −0.805463 0.592646i \(-0.798083\pi\)
0.336740 + 0.941598i \(0.390676\pi\)
\(570\) 3.31650 + 12.4203i 0.138913 + 0.520231i
\(571\) 2.99782 10.0134i 0.125455 0.419049i −0.872069 0.489384i \(-0.837222\pi\)
0.997523 + 0.0703353i \(0.0224069\pi\)
\(572\) 3.29507 + 10.2777i 0.137774 + 0.429731i
\(573\) −14.9047 + 14.5935i −0.622652 + 0.609653i
\(574\) −1.18577 0.126973i −0.0494932 0.00529973i
\(575\) 10.4337 3.79757i 0.435117 0.158370i
\(576\) −22.3737 8.68433i −0.932237 0.361847i
\(577\) −11.3074 4.11555i −0.470732 0.171332i 0.0957519 0.995405i \(-0.469474\pi\)
−0.566484 + 0.824073i \(0.691697\pi\)
\(578\) −23.2120 11.3775i −0.965493 0.473240i
\(579\) 22.4078 27.7329i 0.931235 1.15254i
\(580\) 10.3260 1.41010i 0.428765 0.0585514i
\(581\) 1.42305 + 0.166331i 0.0590382 + 0.00690057i
\(582\) −4.12370 + 19.8841i −0.170933 + 0.824224i
\(583\) 3.28503 4.99464i 0.136052 0.206857i
\(584\) 21.9462 40.6975i 0.908141 1.68408i
\(585\) 13.9720 + 15.4498i 0.577673 + 0.638770i
\(586\) 1.99389 41.0823i 0.0823668 1.69709i
\(587\) −12.6673 + 3.79234i −0.522835 + 0.156527i −0.537336 0.843368i \(-0.680569\pi\)
0.0145008 + 0.999895i \(0.495384\pi\)
\(588\) −3.70452 23.8240i −0.152772 0.982486i
\(589\) −0.685020 + 1.36399i −0.0282258 + 0.0562021i
\(590\) 2.45007 + 0.407596i 0.100868 + 0.0167805i
\(591\) −4.15579 7.90589i −0.170946 0.325205i
\(592\) 14.9997 + 20.9883i 0.616482 + 0.862613i
\(593\) −12.2671 7.08240i −0.503748 0.290839i 0.226512 0.974008i \(-0.427268\pi\)
−0.730260 + 0.683169i \(0.760601\pi\)
\(594\) 3.76563 + 5.63742i 0.154506 + 0.231306i
\(595\) −0.704623 1.22044i −0.0288867 0.0500333i
\(596\) −2.01232 + 12.8643i −0.0824279 + 0.526942i
\(597\) 5.92326 6.51620i 0.242423 0.266690i
\(598\) 16.2511 19.7526i 0.664557 0.807743i
\(599\) 0.618793 + 10.6243i 0.0252832 + 0.434096i 0.987069 + 0.160294i \(0.0512442\pi\)
−0.961786 + 0.273802i \(0.911719\pi\)
\(600\) −14.5946 9.82204i −0.595823 0.400983i
\(601\) −6.82093 1.61659i −0.278232 0.0659421i 0.0891309 0.996020i \(-0.471591\pi\)
−0.367363 + 0.930078i \(0.619739\pi\)
\(602\) 0.431546 + 0.838927i 0.0175885 + 0.0341921i
\(603\) −7.65536 + 19.7279i −0.311751 + 0.803380i
\(604\) −4.52168 + 46.4728i −0.183984 + 1.89095i
\(605\) −0.700478 + 12.0267i −0.0284785 + 0.488957i
\(606\) −16.5317 + 13.0483i −0.671553 + 0.530051i
\(607\) −10.4820 7.80356i −0.425451 0.316737i 0.363050 0.931770i \(-0.381735\pi\)
−0.788501 + 0.615033i \(0.789143\pi\)
\(608\) −21.5366 12.7163i −0.873423 0.515713i
\(609\) 1.51949 0.0281765i 0.0615730 0.00114177i
\(610\) −4.59898 6.84709i −0.186207 0.277231i
\(611\) 56.0210 9.87801i 2.26637 0.399622i
\(612\) 35.3895 + 4.19858i 1.43054 + 0.169717i
\(613\) −12.1167 2.13650i −0.489389 0.0862926i −0.0764922 0.997070i \(-0.524372\pi\)
−0.412897 + 0.910778i \(0.635483\pi\)
\(614\) −2.18501 4.93353i −0.0881798 0.199101i
\(615\) −7.15749 + 4.90004i −0.288618 + 0.197589i
\(616\) 0.220400 + 0.472703i 0.00888016 + 0.0190457i
\(617\) 2.94057 + 12.4072i 0.118383 + 0.499497i 0.999639 + 0.0268581i \(0.00855022\pi\)
−0.881256 + 0.472639i \(0.843302\pi\)
\(618\) 35.4085 + 3.12874i 1.42434 + 0.125856i
\(619\) −22.2986 + 2.60633i −0.896255 + 0.104757i −0.551733 0.834021i \(-0.686033\pi\)
−0.344522 + 0.938778i \(0.611959\pi\)
\(620\) 0.204417 + 0.793692i 0.00820959 + 0.0318754i
\(621\) 6.40137 14.7365i 0.256878 0.591353i
\(622\) −27.1103 + 3.43511i −1.08702 + 0.137735i
\(623\) −0.398307 + 0.923379i −0.0159578 + 0.0369944i
\(624\) −40.4554 2.39319i −1.61951 0.0958043i
\(625\) −4.01417 4.25477i −0.160567 0.170191i
\(626\) 5.14034 + 27.5877i 0.205449 + 1.10263i
\(627\) 2.91804 + 6.43408i 0.116535 + 0.256952i
\(628\) −0.103843 5.36217i −0.00414377 0.213974i
\(629\) −29.3444 24.6229i −1.17004 0.981779i
\(630\) 0.763679 + 0.655801i 0.0304257 + 0.0261277i
\(631\) −18.6905 22.2744i −0.744055 0.886731i 0.252673 0.967552i \(-0.418690\pi\)
−0.996729 + 0.0808209i \(0.974246\pi\)
\(632\) 7.88204 38.1643i 0.313531 1.51810i
\(633\) 22.1762 + 25.4548i 0.881423 + 1.01174i
\(634\) 6.67222 + 11.3025i 0.264988 + 0.448879i
\(635\) −16.1634 + 6.97220i −0.641424 + 0.276683i
\(636\) 13.0367 + 18.2733i 0.516939 + 0.724585i
\(637\) −18.2717 36.3820i −0.723952 1.44151i
\(638\) 5.47067 1.69569i 0.216586 0.0671331i
\(639\) 9.19773 13.3618i 0.363856 0.528584i
\(640\) −13.2028 + 2.45885i −0.521887 + 0.0971944i
\(641\) 25.6182 + 24.1695i 1.01186 + 0.954637i 0.998974 0.0452800i \(-0.0144180\pi\)
0.0128818 + 0.999917i \(0.495899\pi\)
\(642\) 2.60351 17.6673i 0.102752 0.697273i
\(643\) 21.7031 14.2743i 0.855885 0.562925i −0.0440096 0.999031i \(-0.514013\pi\)
0.899895 + 0.436106i \(0.143643\pi\)
\(644\) 0.659103 1.04567i 0.0259723 0.0412052i
\(645\) 6.35010 + 2.60061i 0.250035 + 0.102399i
\(646\) 35.6795 + 10.3064i 1.40379 + 0.405501i
\(647\) 13.3917 0.526483 0.263242 0.964730i \(-0.415208\pi\)
0.263242 + 0.964730i \(0.415208\pi\)
\(648\) −24.8447 + 5.54442i −0.975992 + 0.217805i
\(649\) 1.36497 0.0535796
\(650\) −28.5388 8.24374i −1.11938 0.323346i
\(651\) 0.0160735 + 0.118430i 0.000629969 + 0.00464165i
\(652\) 0.488764 + 0.308076i 0.0191415 + 0.0120652i
\(653\) 9.49533 6.24518i 0.371581 0.244393i −0.349960 0.936765i \(-0.613805\pi\)
0.721541 + 0.692372i \(0.243434\pi\)
\(654\) −16.1261 12.7735i −0.630579 0.499485i
\(655\) 9.40908 + 8.87701i 0.367643 + 0.346853i
\(656\) 3.25310 16.5591i 0.127012 0.646523i
\(657\) −4.66473 48.8202i −0.181988 1.90466i
\(658\) 2.62568 0.813859i 0.102360 0.0317275i
\(659\) −11.2407 22.3820i −0.437874 0.871880i −0.999024 0.0441654i \(-0.985937\pi\)
0.561150 0.827714i \(-0.310359\pi\)
\(660\) 3.45217 + 1.57287i 0.134375 + 0.0612240i
\(661\) 10.2529 4.42268i 0.398793 0.172022i −0.187232 0.982316i \(-0.559951\pi\)
0.586025 + 0.810293i \(0.300692\pi\)
\(662\) −22.6873 38.4314i −0.881766 1.49368i
\(663\) 59.0593 11.5467i 2.29367 0.448435i
\(664\) −4.10072 + 19.8554i −0.159139 + 0.770540i
\(665\) 0.674286 + 0.803583i 0.0261477 + 0.0311616i
\(666\) 25.6035 + 9.65124i 0.992115 + 0.373978i
\(667\) −10.3980 8.72497i −0.402613 0.337832i
\(668\) 0.00777389 0.000150547i 0.000300781 5.82486e-6i
\(669\) 18.2341 25.4651i 0.704972 0.984537i
\(670\) 2.16902 + 11.6409i 0.0837964 + 0.449727i
\(671\) −3.11066 3.29711i −0.120086 0.127283i
\(672\) −1.95400 + 0.131015i −0.0753772 + 0.00505403i
\(673\) −4.02103 + 9.32180i −0.154999 + 0.359329i −0.977967 0.208759i \(-0.933058\pi\)
0.822968 + 0.568088i \(0.192317\pi\)
\(674\) 13.3111 1.68663i 0.512724 0.0649666i
\(675\) −18.6590 0.0476546i −0.718185 0.00183423i
\(676\) −41.0911 + 10.5831i −1.58043 + 0.407043i
\(677\) −22.3542 + 2.61283i −0.859140 + 0.100419i −0.534244 0.845330i \(-0.679404\pi\)
−0.324897 + 0.945750i \(0.605329\pi\)
\(678\) −3.18833 6.85288i −0.122447 0.263183i
\(679\) 0.382144 + 1.61239i 0.0146653 + 0.0618780i
\(680\) 18.0740 8.42706i 0.693105 0.323163i
\(681\) 0.595615 + 7.74836i 0.0228240 + 0.296918i
\(682\) 0.182396 + 0.411832i 0.00698431 + 0.0157699i
\(683\) −35.0009 6.17161i −1.33927 0.236150i −0.542310 0.840178i \(-0.682450\pi\)
−0.796963 + 0.604028i \(0.793561\pi\)
\(684\) −26.4854 + 1.49658i −1.01270 + 0.0572232i
\(685\) −21.4688 + 3.78554i −0.820282 + 0.144638i
\(686\) −2.20022 3.27575i −0.0840048 0.125069i
\(687\) −12.7980 21.2471i −0.488275 0.810627i
\(688\) −12.3588 + 5.04828i −0.471174 + 0.192464i
\(689\) 30.4036 + 22.6346i 1.15828 + 0.862311i
\(690\) −1.29532 8.89677i −0.0493119 0.338694i
\(691\) 0.198750 3.41241i 0.00756082 0.129814i −0.992415 0.122929i \(-0.960771\pi\)
0.999976 0.00688531i \(-0.00219168\pi\)
\(692\) −11.5764 1.12635i −0.440067 0.0428173i
\(693\) 0.473141 + 0.286642i 0.0179732 + 0.0108886i
\(694\) 16.8495 + 32.7555i 0.639599 + 1.24338i
\(695\) −17.5378 4.15654i −0.665248 0.157667i
\(696\) −1.47777 + 21.4550i −0.0560146 + 0.813249i
\(697\) 1.45703 + 25.0162i 0.0551889 + 0.947557i
\(698\) −16.7931 + 20.4114i −0.635630 + 0.772583i
\(699\) −15.3823 48.1151i −0.581813 1.81988i
\(700\) −1.41824 0.221852i −0.0536046 0.00838521i
\(701\) 20.0809 + 34.7812i 0.758446 + 1.31367i 0.943643 + 0.330965i \(0.107374\pi\)
−0.185197 + 0.982701i \(0.559292\pi\)
\(702\) −37.0715 + 21.7570i −1.39917 + 0.821166i
\(703\) 24.6940 + 14.2571i 0.931353 + 0.537717i
\(704\) −6.93561 + 2.52367i −0.261396 + 0.0951144i
\(705\) 10.6755 16.9060i 0.402064 0.636716i
\(706\) −2.71503 0.451676i −0.102182 0.0169990i
\(707\) −0.771281 + 1.53575i −0.0290070 + 0.0577577i
\(708\) −1.85022 + 4.77966i −0.0695355 + 0.179630i
\(709\) 23.7692 7.11602i 0.892670 0.267248i 0.192562 0.981285i \(-0.438320\pi\)
0.700108 + 0.714037i \(0.253135\pi\)
\(710\) 0.440032 9.06646i 0.0165141 0.340258i
\(711\) −15.5672 38.2901i −0.583816 1.43599i
\(712\) −12.5253 6.75430i −0.469406 0.253128i
\(713\) 0.586576 0.891845i 0.0219674 0.0333999i
\(714\) 2.76121 0.912311i 0.103336 0.0341424i
\(715\) 6.36252 + 0.743672i 0.237945 + 0.0278118i
\(716\) 2.18822 + 16.0241i 0.0817778 + 0.598850i
\(717\) 9.93734 + 25.8037i 0.371117 + 0.963658i
\(718\) 24.0661 + 11.7961i 0.898138 + 0.440225i
\(719\) 20.3552 + 7.40869i 0.759121 + 0.276297i 0.692439 0.721477i \(-0.256536\pi\)
0.0666824 + 0.997774i \(0.478759\pi\)
\(720\) −10.1871 + 9.95631i −0.379651 + 0.371050i
\(721\) 2.72564 0.992054i 0.101508 0.0369460i
\(722\) −0.770208 0.0824739i −0.0286642 0.00306936i
\(723\) −3.51034 0.980392i −0.130551 0.0364612i
\(724\) 15.9721 5.12074i 0.593599 0.190311i
\(725\) −4.52108 + 15.1014i −0.167909 + 0.560854i
\(726\) −24.0069 6.45492i −0.890981 0.239565i
\(727\) 2.91188 2.16781i 0.107995 0.0803997i −0.541806 0.840503i \(-0.682259\pi\)
0.649802 + 0.760104i \(0.274852\pi\)
\(728\) −3.07333 + 1.22080i −0.113905 + 0.0452458i
\(729\) −18.6286 + 19.5442i −0.689948 + 0.723859i
\(730\) −16.6002 21.8530i −0.614400 0.808815i
\(731\) 15.9010 11.8378i 0.588118 0.437838i
\(732\) 15.7619 6.42326i 0.582577 0.237410i
\(733\) 33.1132 + 9.91344i 1.22306 + 0.366161i 0.832298 0.554329i \(-0.187025\pi\)
0.390766 + 0.920490i \(0.372210\pi\)
\(734\) 15.0870 42.7340i 0.556870 1.57734i
\(735\) −13.7825 3.84927i −0.508376 0.141983i
\(736\) 13.9274 + 10.5816i 0.513372 + 0.390044i
\(737\) 2.22569 + 6.11503i 0.0819843 + 0.225250i
\(738\) −6.90149 16.5152i −0.254047 0.607934i
\(739\) −21.0137 7.64836i −0.773001 0.281349i −0.0747499 0.997202i \(-0.523816\pi\)
−0.698251 + 0.715853i \(0.746038\pi\)
\(740\) 15.0243 2.95021i 0.552303 0.108452i
\(741\) −41.8017 + 16.0984i −1.53562 + 0.591388i
\(742\) 1.59506 + 0.900434i 0.0585566 + 0.0330560i
\(743\) 46.4250 + 5.42631i 1.70317 + 0.199072i 0.911335 0.411665i \(-0.135052\pi\)
0.791834 + 0.610737i \(0.209127\pi\)
\(744\) −1.68934 + 0.0804500i −0.0619342 + 0.00294944i
\(745\) 6.45670 + 4.24664i 0.236555 + 0.155585i
\(746\) −1.57194 + 6.93090i −0.0575529 + 0.253758i
\(747\) 8.09902 + 19.9209i 0.296328 + 0.728867i
\(748\) 9.03806 6.19840i 0.330464 0.226636i
\(749\) −0.417933 1.39599i −0.0152710 0.0510085i
\(750\) −21.2717 + 13.0952i −0.776733 + 0.478168i
\(751\) −1.59373 + 3.17337i −0.0581560 + 0.115798i −0.920833 0.389957i \(-0.872490\pi\)
0.862677 + 0.505755i \(0.168786\pi\)
\(752\) 8.23296 + 38.0183i 0.300225 + 1.38639i
\(753\) −21.5220 13.5904i −0.784306 0.495262i
\(754\) 8.71641 + 35.2529i 0.317433 + 1.28384i
\(755\) 24.0000 + 13.8564i 0.873449 + 0.504286i
\(756\) −1.64507 + 1.26824i −0.0598307 + 0.0461254i
\(757\) −42.6228 + 24.6083i −1.54915 + 0.894404i −0.550946 + 0.834541i \(0.685733\pi\)
−0.998207 + 0.0598633i \(0.980934\pi\)
\(758\) 19.6662 + 20.4447i 0.714308 + 0.742585i
\(759\) −1.50457 4.70620i −0.0546123 0.170824i
\(760\) −12.1601 + 8.51379i −0.441092 + 0.308827i
\(761\) −39.4109 + 2.29542i −1.42864 + 0.0832091i −0.754941 0.655793i \(-0.772335\pi\)
−0.673704 + 0.739002i \(0.735298\pi\)
\(762\) −7.31461 35.5802i −0.264980 1.28894i
\(763\) −1.63343 0.387130i −0.0591341 0.0140150i
\(764\) −21.7298 10.3912i −0.786155 0.375941i
\(765\) 10.9599 18.0907i 0.396255 0.654072i
\(766\) 20.2577 21.8927i 0.731940 0.791015i
\(767\) −0.503214 + 8.63984i −0.0181700 + 0.311967i
\(768\) 0.564211 27.7071i 0.0203592 0.999793i
\(769\) −22.2589 + 29.8988i −0.802675 + 1.07818i 0.192619 + 0.981274i \(0.438302\pi\)
−0.995294 + 0.0969058i \(0.969105\pi\)
\(770\) 0.309541 0.00299697i 0.0111551 0.000108003i
\(771\) −19.8045 32.8791i −0.713241 1.18411i
\(772\) 38.9525 + 13.3292i 1.40193 + 0.479730i