Properties

Label 804.2.bd.a.23.18
Level 804
Weight 2
Character 804.23
Analytic conductor 6.420
Analytic rank 0
Dimension 2640
CM no
Inner twists 8

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Newspace parameters

Level: \( N \) = \( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 804.bd (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.41997232251\)
Analytic rank: \(0\)
Dimension: \(2640\)
Relative dimension: \(132\) over \(\Q(\zeta_{66})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 23.18
Character \(\chi\) = 804.23
Dual form 804.2.bd.a.35.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.29873 + 0.559731i) q^{2} +(-0.479660 + 1.66431i) q^{3} +(1.37340 - 1.45388i) q^{4} +(2.88456 - 1.31734i) q^{5} +(-0.308618 - 2.42997i) q^{6} +(-1.85789 - 1.94850i) q^{7} +(-0.969897 + 2.65693i) q^{8} +(-2.53985 - 1.59660i) q^{9} +O(q^{10})\) \(q+(-1.29873 + 0.559731i) q^{2} +(-0.479660 + 1.66431i) q^{3} +(1.37340 - 1.45388i) q^{4} +(2.88456 - 1.31734i) q^{5} +(-0.308618 - 2.42997i) q^{6} +(-1.85789 - 1.94850i) q^{7} +(-0.969897 + 2.65693i) q^{8} +(-2.53985 - 1.59660i) q^{9} +(-3.00892 + 3.32544i) q^{10} +(0.725043 + 0.0692332i) q^{11} +(1.76094 + 2.98313i) q^{12} +(-0.625573 - 0.120569i) q^{13} +(3.50353 + 1.49066i) q^{14} +(0.808847 + 5.43268i) q^{15} +(-0.227534 - 3.99352i) q^{16} +(2.55706 - 4.96000i) q^{17} +(4.19225 + 0.651923i) q^{18} +(-0.463180 + 0.485769i) q^{19} +(2.04642 - 6.00304i) q^{20} +(4.13406 - 2.15749i) q^{21} +(-0.980387 + 0.315914i) q^{22} +(-3.17927 + 1.27279i) q^{23} +(-3.95674 - 2.88863i) q^{24} +(3.31103 - 3.82113i) q^{25} +(0.879938 - 0.193566i) q^{26} +(3.87551 - 3.46128i) q^{27} +(-5.38451 + 0.0250766i) q^{28} +(-2.31618 - 1.33725i) q^{29} +(-4.09131 - 6.60285i) q^{30} +(-0.712251 - 3.69551i) q^{31} +(2.53080 + 5.05915i) q^{32} +(-0.462999 + 1.17349i) q^{33} +(-0.544663 + 7.87298i) q^{34} +(-7.92602 - 3.17310i) q^{35} +(-5.80951 + 1.49986i) q^{36} +(-5.19757 - 9.00245i) q^{37} +(0.329646 - 0.890140i) q^{38} +(0.500727 - 0.983316i) q^{39} +(0.702345 + 8.94178i) q^{40} +(5.15363 - 0.245498i) q^{41} +(-4.16141 + 5.11596i) q^{42} +(-6.81001 - 10.5966i) q^{43} +(1.09643 - 0.959040i) q^{44} +(-9.42963 - 1.25967i) q^{45} +(3.41659 - 3.43254i) q^{46} +(2.67511 + 2.10373i) q^{47} +(6.75560 + 1.53684i) q^{48} +(-0.0118191 + 0.248113i) q^{49} +(-2.16133 + 6.81591i) q^{50} +(7.02847 + 6.63485i) q^{51} +(-1.03446 + 0.743918i) q^{52} +(-2.69922 + 4.20007i) q^{53} +(-3.09586 + 6.66451i) q^{54} +(2.18263 - 0.755417i) q^{55} +(6.97899 - 3.04645i) q^{56} +(-0.586302 - 1.00388i) q^{57} +(3.75659 + 0.440286i) q^{58} +(2.59006 + 2.98909i) q^{59} +(9.00934 + 6.28529i) q^{60} +(14.0631 - 1.34286i) q^{61} +(2.99351 + 4.40080i) q^{62} +(1.60779 + 7.91521i) q^{63} +(-6.11860 - 5.15391i) q^{64} +(-1.96334 + 0.476300i) q^{65} +(-0.0555263 - 1.78320i) q^{66} +(-7.24286 + 3.81326i) q^{67} +(-3.69938 - 10.5297i) q^{68} +(-0.593345 - 5.90179i) q^{69} +(12.0699 - 0.315439i) q^{70} +(7.73502 - 3.98768i) q^{71} +(6.70547 - 5.19968i) q^{72} +(4.36934 - 0.417221i) q^{73} +(11.7892 + 8.78252i) q^{74} +(4.77138 + 7.34342i) q^{75} +(0.0701177 + 1.34056i) q^{76} +(-1.21215 - 1.54137i) q^{77} +(-0.0999171 + 1.55733i) q^{78} +(13.8455 - 4.79198i) q^{79} +(-5.91715 - 11.2198i) q^{80} +(3.90171 + 8.11028i) q^{81} +(-6.55576 + 3.20348i) q^{82} +(0.456515 - 0.641086i) q^{83} +(2.54100 - 8.97352i) q^{84} +(0.842010 - 17.6760i) q^{85} +(14.7756 + 9.95033i) q^{86} +(3.33657 - 3.21342i) q^{87} +(-0.887165 + 1.85924i) q^{88} +(-3.02104 + 0.434359i) q^{89} +(12.9516 - 3.64209i) q^{90} +(0.927317 + 1.44293i) q^{91} +(-2.51593 + 6.37032i) q^{92} +(6.49211 + 0.587180i) q^{93} +(-4.65178 - 1.23484i) q^{94} +(-0.696151 + 2.01140i) q^{95} +(-9.63392 + 1.78537i) q^{96} +(5.40049 + 9.35392i) q^{97} +(-0.123527 - 0.328848i) q^{98} +(-1.73096 - 1.33345i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} + O(q^{10}) \) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} - 46q^{10} - 24q^{12} - 88q^{13} - 26q^{16} - 23q^{18} - 128q^{22} - 22q^{24} + 160q^{25} + 44q^{28} - 18q^{30} - 44q^{33} - 6q^{34} - 35q^{36} - 48q^{37} - 92q^{40} - 10q^{42} + 40q^{45} + 46q^{46} - 11q^{48} - 216q^{49} - 76q^{52} + 129q^{54} - 42q^{57} - 56q^{58} - 90q^{60} - 80q^{61} - 48q^{64} - 74q^{66} - 4q^{69} + 96q^{70} - 20q^{72} - 216q^{73} + 76q^{76} - 66q^{78} - 16q^{81} + 20q^{82} - 55q^{84} - 104q^{85} - 30q^{88} - 64q^{90} - 192q^{93} - 32q^{94} - 205q^{96} - 64q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).

\(n\) \(269\) \(337\) \(403\)
\(\chi(n)\) \(-1\) \(e\left(\frac{14}{33}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.29873 + 0.559731i −0.918341 + 0.395790i
\(3\) −0.479660 + 1.66431i −0.276932 + 0.960890i
\(4\) 1.37340 1.45388i 0.686701 0.726940i
\(5\) 2.88456 1.31734i 1.29002 0.589131i 0.352090 0.935966i \(-0.385471\pi\)
0.937926 + 0.346836i \(0.112744\pi\)
\(6\) −0.308618 2.42997i −0.125993 0.992031i
\(7\) −1.85789 1.94850i −0.702216 0.736463i 0.271946 0.962312i \(-0.412333\pi\)
−0.974162 + 0.225850i \(0.927484\pi\)
\(8\) −0.969897 + 2.65693i −0.342910 + 0.939368i
\(9\) −2.53985 1.59660i −0.846618 0.532201i
\(10\) −3.00892 + 3.32544i −0.951503 + 1.05160i
\(11\) 0.725043 + 0.0692332i 0.218609 + 0.0208746i 0.203786 0.979016i \(-0.434675\pi\)
0.0148230 + 0.999890i \(0.495282\pi\)
\(12\) 1.76094 + 2.98313i 0.508340 + 0.861157i
\(13\) −0.625573 0.120569i −0.173503 0.0334399i 0.101760 0.994809i \(-0.467553\pi\)
−0.275263 + 0.961369i \(0.588765\pi\)
\(14\) 3.50353 + 1.49066i 0.936358 + 0.398394i
\(15\) 0.808847 + 5.43268i 0.208843 + 1.40271i
\(16\) −0.227534 3.99352i −0.0568834 0.998381i
\(17\) 2.55706 4.96000i 0.620178 1.20298i −0.344311 0.938856i \(-0.611887\pi\)
0.964489 0.264122i \(-0.0850822\pi\)
\(18\) 4.19225 + 0.651923i 0.988124 + 0.153660i
\(19\) −0.463180 + 0.485769i −0.106261 + 0.111443i −0.774716 0.632309i \(-0.782107\pi\)
0.668455 + 0.743752i \(0.266956\pi\)
\(20\) 2.04642 6.00304i 0.457593 1.34232i
\(21\) 4.13406 2.15749i 0.902125 0.470802i
\(22\) −0.980387 + 0.315914i −0.209019 + 0.0673530i
\(23\) −3.17927 + 1.27279i −0.662923 + 0.265394i −0.678628 0.734482i \(-0.737425\pi\)
0.0157049 + 0.999877i \(0.495001\pi\)
\(24\) −3.95674 2.88863i −0.807666 0.589640i
\(25\) 3.31103 3.82113i 0.662206 0.764226i
\(26\) 0.879938 0.193566i 0.172570 0.0379614i
\(27\) 3.87551 3.46128i 0.745842 0.666123i
\(28\) −5.38451 + 0.0250766i −1.01758 + 0.00473903i
\(29\) −2.31618 1.33725i −0.430104 0.248321i 0.269287 0.963060i \(-0.413212\pi\)
−0.699391 + 0.714739i \(0.746545\pi\)
\(30\) −4.09131 6.60285i −0.746968 1.20551i
\(31\) −0.712251 3.69551i −0.127924 0.663733i −0.988110 0.153752i \(-0.950864\pi\)
0.860185 0.509981i \(1.82965\pi\)
\(32\) 2.53080 + 5.05915i 0.447387 + 0.894340i
\(33\) −0.462999 + 1.17349i −0.0805978 + 0.204278i
\(34\) −0.544663 + 7.87298i −0.0934089 + 1.35020i
\(35\) −7.92602 3.17310i −1.33974 0.536352i
\(36\) −5.80951 + 1.49986i −0.968252 + 0.249977i
\(37\) −5.19757 9.00245i −0.854475 1.47999i −0.877131 0.480251i \(-0.840546\pi\)
0.0226564 0.999743i \(-0.492788\pi\)
\(38\) 0.329646 0.890140i 0.0534756 0.144400i
\(39\) 0.500727 0.983316i 0.0801805 0.157457i
\(40\) 0.702345 + 8.94178i 0.111051 + 1.41382i
\(41\) 5.15363 0.245498i 0.804862 0.0383403i 0.358882 0.933383i \(-0.383158\pi\)
0.445980 + 0.895043i \(0.352855\pi\)
\(42\) −4.16141 + 5.11596i −0.642120 + 0.789409i
\(43\) −6.81001 10.5966i −1.03852 1.61596i −0.753508 0.657439i \(-0.771640\pi\)
−0.285009 0.958525i \(1.40800\pi\)
\(44\) 1.09643 0.959040i 0.165293 0.144581i
\(45\) −9.42963 1.25967i −1.40569 0.187780i
\(46\) 3.41659 3.43254i 0.503749 0.506101i
\(47\) 2.67511 + 2.10373i 0.390205 + 0.306861i 0.793918 0.608025i \(-0.208038\pi\)
−0.403712 + 0.914886i \(0.632280\pi\)
\(48\) 6.75560 + 1.53684i 0.975087 + 0.221824i
\(49\) −0.0118191 + 0.248113i −0.00168844 + 0.0354448i
\(50\) −2.16133 + 6.81591i −0.305658 + 0.963915i
\(51\) 7.02847 + 6.63485i 0.984182 + 0.929065i
\(52\) −1.03446 + 0.743918i −0.143453 + 0.103163i
\(53\) −2.69922 + 4.20007i −0.370767 + 0.576925i −0.975635 0.219401i \(-0.929590\pi\)
0.604868 + 0.796326i \(0.293226\pi\)
\(54\) −3.09586 + 6.66451i −0.421293 + 0.906925i
\(55\) 2.18263 0.755417i 0.294306 0.101860i
\(56\) 6.97899 3.04645i 0.932607 0.407098i
\(57\) −0.586302 1.00388i −0.0776575 0.132967i
\(58\) 3.75659 + 0.440286i 0.493265 + 0.0578123i
\(59\) 2.59006 + 2.98909i 0.337197 + 0.389146i 0.898872 0.438212i \(-0.144388\pi\)
−0.561674 + 0.827358i \(0.689843\pi\)
\(60\) 9.00934 + 6.28529i 1.16310 + 0.811427i
\(61\) 14.0631 1.34286i 1.80059 0.171936i 0.859735 0.510740i \(-0.170629\pi\)
0.940857 + 0.338804i \(0.110022\pi\)
\(62\) 2.99351 + 4.40080i 0.380177 + 0.558902i
\(63\) 1.60779 + 7.91521i 0.202562 + 0.997223i
\(64\) −6.11860 5.15391i −0.764825 0.644238i
\(65\) −1.96334 + 0.476300i −0.243522 + 0.0590778i
\(66\) −0.0555263 1.78320i −0.00683482 0.219497i
\(67\) −7.24286 + 3.81326i −0.884856 + 0.465864i
\(68\) −3.69938 10.5297i −0.448616 1.27692i
\(69\) −0.593345 5.90179i −0.0714304 0.710492i
\(70\) 12.0699 0.315439i 1.44262 0.0377022i
\(71\) 7.73502 3.98768i 0.917978 0.473250i 0.0665860 0.997781i \(-0.478789\pi\)
0.851392 + 0.524530i \(0.175759\pi\)
\(72\) 6.70547 5.19968i 0.790247 0.612788i
\(73\) 4.36934 0.417221i 0.511392 0.0488320i 0.163829 0.986489i \(-0.447615\pi\)
0.347563 + 0.937657i \(0.387009\pi\)
\(74\) 11.7892 + 8.78252i 1.37047 + 1.02095i
\(75\) 4.77138 + 7.34342i 0.550951 + 0.847945i
\(76\) 0.0701177 + 1.34056i 0.00804306 + 0.153773i
\(77\) −1.21215 1.54137i −0.138137 0.175656i
\(78\) −0.0999171 + 1.55733i −0.0113134 + 0.176333i
\(79\) 13.8455 4.79198i 1.55774 0.539140i 0.593654 0.804721i \(-0.297685\pi\)
0.964089 + 0.265581i \(0.0855638\pi\)
\(80\) −5.91715 11.2198i −0.661557 1.25442i
\(81\) 3.90171 + 8.11028i 0.433523 + 0.901142i
\(82\) −6.55576 + 3.20348i −0.723963 + 0.353766i
\(83\) 0.456515 0.641086i 0.0501090 0.0703683i −0.788761 0.614700i \(-0.789277\pi\)
0.838870 + 0.544331i \(0.183217\pi\)
\(84\) 2.54100 8.97352i 0.277245 0.979091i
\(85\) 0.842010 17.6760i 0.0913288 1.91723i
\(86\) 14.7756 + 9.95033i 1.59329 + 1.07297i
\(87\) 3.33657 3.21342i 0.357718 0.344515i
\(88\) −0.887165 + 1.85924i −0.0945721 + 0.198196i
\(89\) −3.02104 + 0.434359i −0.320229 + 0.0460420i −0.300555 0.953764i \(-0.597172\pi\)
−0.0196740 + 0.999806i \(0.506263\pi\)
\(90\) 12.9516 3.64209i 1.36522 0.383910i
\(91\) 0.927317 + 1.44293i 0.0972092 + 0.151260i
\(92\) −2.51593 + 6.37032i −0.262304 + 0.664152i
\(93\) 6.49211 + 0.587180i 0.673200 + 0.0608877i
\(94\) −4.65178 1.23484i −0.479794 0.127364i
\(95\) −0.696151 + 2.01140i −0.0714236 + 0.206365i
\(96\) −9.63392 + 1.78537i −0.983258 + 0.182219i
\(97\) 5.40049 + 9.35392i 0.548336 + 0.949746i 0.998389 + 0.0567442i \(0.0180720\pi\)
−0.450052 + 0.893002i \(0.648595\pi\)
\(98\) −0.123527 0.328848i −0.0124781 0.0332187i
\(99\) −1.73096 1.33345i −0.173968 0.134017i
\(100\) −1.00809 10.0618i −0.100809 1.00618i
\(101\) −5.58738 1.35548i −0.555965 0.134876i −0.0520745 0.998643i \(-0.516583\pi\)
−0.503890 + 0.863768i \(0.668098\pi\)
\(102\) −12.8418 4.68284i −1.27153 0.463670i
\(103\) 1.95650 + 10.1513i 0.192780 + 1.00024i 0.941414 + 0.337253i \(0.109498\pi\)
−0.748634 + 0.662983i \(0.769290\pi\)
\(104\) 0.927087 1.54517i 0.0909084 0.151516i
\(105\) 9.08282 11.6694i 0.886392 1.13881i
\(106\) 1.15465 6.96560i 0.112150 0.676559i
\(107\) 4.94819 10.8350i 0.478359 1.04746i −0.504552 0.863381i \(-0.668342\pi\)
0.982911 0.184079i \(-0.0589304\pi\)
\(108\) 0.290351 10.3882i 0.0279390 0.999610i
\(109\) 3.93036 4.53587i 0.376460 0.434458i −0.535627 0.844455i \(-0.679925\pi\)
0.912087 + 0.409997i \(0.134470\pi\)
\(110\) −2.41182 + 2.20277i −0.229958 + 0.210026i
\(111\) 17.4759 4.33225i 1.65874 0.411199i
\(112\) −7.35864 + 7.86287i −0.695326 + 0.742972i
\(113\) −5.89046 + 4.19458i −0.554128 + 0.394592i −0.822536 0.568713i \(-0.807442\pi\)
0.268409 + 0.963305i \(0.413502\pi\)
\(114\) 1.32335 + 0.975597i 0.123943 + 0.0913730i
\(115\) −7.49411 + 7.85960i −0.698829 + 0.732911i
\(116\) −5.12524 + 1.53087i −0.475867 + 0.142138i
\(117\) 1.39636 + 1.30502i 0.129094 + 0.120649i
\(118\) −5.03688 2.43228i −0.463682 0.223910i
\(119\) −14.4153 + 4.23271i −1.32145 + 0.388012i
\(120\) −15.2188 3.12009i −1.38928 0.284824i
\(121\) −10.2803 1.98137i −0.934575 0.180125i
\(122\) −17.5125 + 9.61555i −1.58551 + 0.870551i
\(123\) −2.06340 + 8.69499i −0.186051 + 0.784001i
\(124\) −6.35103 4.03989i −0.570340 0.362793i
\(125\) 0.0501037 0.170638i 0.00448142 0.0152623i
\(126\) −6.51847 9.37980i −0.580712 0.835619i
\(127\) 0.230243 + 0.241472i 0.0204308 + 0.0214272i 0.733870 0.679290i \(-0.237712\pi\)
−0.713439 + 0.700717i \(0.752864\pi\)
\(128\) 10.8312 + 3.26876i 0.957353 + 0.288921i
\(129\) 20.9025 6.25121i 1.84036 0.550389i
\(130\) 2.28325 1.71753i 0.200254 0.150637i
\(131\) −2.76286 + 19.2161i −0.241392 + 1.67892i 0.403759 + 0.914865i \(0.367703\pi\)
−0.645151 + 0.764055i \(0.723206\pi\)
\(132\) 1.07023 + 2.28481i 0.0931512 + 0.198868i
\(133\) 1.80706 0.156692
\(134\) 7.27212 9.00646i 0.628216 0.778039i
\(135\) 6.61949 15.0896i 0.569715 1.29871i
\(136\) 10.6983 + 11.6046i 0.917373 + 0.995089i
\(137\) −7.33284 1.05430i −0.626487 0.0900753i −0.178243 0.983986i \(-0.557041\pi\)
−0.448244 + 0.893911i \(0.647950\pi\)
\(138\) 4.07401 + 7.33272i 0.346803 + 0.624202i
\(139\) −5.14453 + 2.34943i −0.436353 + 0.199276i −0.621465 0.783442i \(-0.713462\pi\)
0.185112 + 0.982717i \(0.440735\pi\)
\(140\) −15.4989 + 7.16554i −1.30990 + 0.605599i
\(141\) −4.78441 + 3.44314i −0.402920 + 0.289965i
\(142\) −7.81368 + 9.50845i −0.655709 + 0.797932i
\(143\) −0.445220 0.130728i −0.0372312 0.0109321i
\(144\) −5.79817 + 10.5062i −0.483181 + 0.875520i
\(145\) −8.44277 0.806187i −0.701134 0.0669502i
\(146\) −5.44106 + 2.98751i −0.450305 + 0.247248i
\(147\) −0.407268 0.138681i −0.0335909 0.0114382i
\(148\) −20.2268 4.80735i −1.66264 0.395161i
\(149\) 2.04147 + 6.95259i 0.167243 + 0.569578i 0.999876 + 0.0157527i \(0.00501445\pi\)
−0.832633 + 0.553826i \(0.813167\pi\)
\(150\) −10.3071 6.86643i −0.841569 0.560642i
\(151\) 8.86541 17.1965i 0.721457 1.39943i −0.187383 0.982287i \(-0.560001\pi\)
0.908840 0.417145i \(-0.136969\pi\)
\(152\) −0.841420 1.70178i −0.0682482 0.138033i
\(153\) −14.4137 + 8.51507i −1.16528 + 0.688403i
\(154\) 2.43701 + 1.32335i 0.196380 + 0.106639i
\(155\) −6.92276 9.72166i −0.556050 0.780862i
\(156\) −0.741923 2.07848i −0.0594014 0.166412i
\(157\) −2.47408 + 0.990474i −0.197453 + 0.0790484i −0.468282 0.883579i \(-0.655127\pi\)
0.270828 + 0.962628i \(0.412702\pi\)
\(158\) −15.2994 + 13.9733i −1.21715 + 1.11165i
\(159\) −5.69552 6.50695i −0.451684 0.516035i
\(160\) 13.9649 + 11.2595i 1.10402 + 0.890144i
\(161\) 8.38675 + 3.83010i 0.660968 + 0.301854i
\(162\) −9.60685 8.34916i −0.754785 0.655972i
\(163\) −13.1328 7.58225i −1.02864 0.593888i −0.112048 0.993703i \(-0.535741\pi\)
−0.916596 + 0.399815i \(0.869074\pi\)
\(164\) 6.72108 7.82993i 0.524828 0.611415i
\(165\) 0.210327 + 3.99492i 0.0163739 + 0.311004i
\(166\) −0.234054 + 1.08812i −0.0181661 + 0.0844548i
\(167\) −0.513521 + 2.11676i −0.0397374 + 0.163800i −0.988223 0.153020i \(-0.951100\pi\)
0.948486 + 0.316820i \(0.102615\pi\)
\(168\) 1.72269 + 13.0765i 0.132908 + 1.00887i
\(169\) −11.6920 4.68076i −0.899383 0.360059i
\(170\) 8.80024 + 23.4276i 0.674948 + 1.79682i
\(171\) 1.95199 0.494268i 0.149272 0.0377976i
\(172\) −24.7590 4.65243i −1.88786 0.354745i
\(173\) 12.1469 + 4.20410i 0.923515 + 0.319632i 0.747121 0.664688i \(-0.231435\pi\)
0.176394 + 0.984320i \(0.443557\pi\)
\(174\) −2.53466 + 6.04095i −0.192152 + 0.457963i
\(175\) −13.5970 + 0.647704i −1.02784 + 0.0489619i
\(176\) 0.111513 2.91123i 0.00840558 0.219442i
\(177\) −6.21712 + 2.87692i −0.467307 + 0.216242i
\(178\) 3.68039 2.25508i 0.275857 0.169026i
\(179\) −1.51141 10.5121i −0.112968 0.785709i −0.965006 0.262229i \(-0.915543\pi\)
0.852038 0.523480i \(1.82463\pi\)
\(180\) −14.7821 + 11.9795i −1.10179 + 0.892901i
\(181\) 0.864935 + 0.680192i 0.0642901 + 0.0505583i 0.649787 0.760116i \(-0.274858\pi\)
−0.585497 + 0.810675i \(0.699101\pi\)
\(182\) −2.01199 1.35493i −0.149139 0.100434i
\(183\) −4.51055 + 24.0494i −0.333430 + 1.77778i
\(184\) −0.298148 9.68157i −0.0219797 0.713735i
\(185\) −26.8520 19.1212i −1.97420 1.40582i
\(186\) −8.76016 + 2.87125i −0.642326 + 0.210530i
\(187\) 2.19737 3.41918i 0.160688 0.250035i
\(188\) 6.73258 1.00002i 0.491024 0.0729342i
\(189\) −13.9446 1.12075i −1.01432 0.0815228i
\(190\) −0.221729 3.00192i −0.0160859 0.217782i
\(191\) 11.5207 9.05997i 0.833608 0.655557i −0.107297 0.994227i \(-0.534220\pi\)
0.940905 + 0.338670i \(0.109977\pi\)
\(192\) 11.5125 7.71112i 0.830846 0.556502i
\(193\) 13.6591 + 15.7634i 0.983201 + 1.13467i 0.990886 + 0.134704i \(0.0430084\pi\)
−0.00768468 + 0.999970i \(0.502446\pi\)
\(194\) −12.2495 9.12540i −0.879460 0.655165i
\(195\) 0.149022 3.49606i 0.0106717 0.250358i
\(196\) 0.344495 + 0.357943i 0.0246068 + 0.0255673i
\(197\) 7.76422 + 15.0605i 0.553178 + 1.07302i 0.985241 + 0.171172i \(0.0547554\pi\)
−0.432063 + 0.901843i \(0.642214\pi\)
\(198\) 2.99443 + 0.762915i 0.212805 + 0.0542180i
\(199\) 14.8582 3.60455i 1.05327 0.255520i 0.328493 0.944506i \(-0.393459\pi\)
0.724774 + 0.688987i \(0.241944\pi\)
\(200\) 6.94114 + 12.5033i 0.490812 + 0.884116i
\(201\) −2.87234 13.8834i −0.202599 0.979262i
\(202\) 8.01521 1.36702i 0.563948 0.0961834i
\(203\) 1.69758 + 6.99753i 0.119147 + 0.491130i
\(204\) 19.2992 1.10622i 1.35121 0.0774512i
\(205\) 14.5426 7.49722i 1.01570 0.523628i
\(206\) −8.22296 12.0887i −0.572921 0.842258i
\(207\) 10.1070 + 1.84334i 0.702486 + 0.128121i
\(208\) −0.339158 + 2.52568i −0.0235164 + 0.175124i
\(209\) −0.369457 + 0.320136i −0.0255558 + 0.0221443i
\(210\) −5.26443 + 20.2393i −0.363280 + 1.39664i
\(211\) 10.6534 + 13.5469i 0.733408 + 0.932605i 0.999509 0.0313408i \(-0.00997771\pi\)
−0.266100 + 0.963945i \(0.585735\pi\)
\(212\) 2.39928 + 9.69274i 0.164784 + 0.665700i
\(213\) 2.92656 + 14.7862i 0.200524 + 1.01313i
\(214\) −0.361664 + 16.8414i −0.0247228 + 1.15126i
\(215\) −33.6032 21.5954i −2.29172 1.47280i
\(216\) 5.43754 + 13.6541i 0.369978 + 0.929041i
\(217\) −5.87741 + 8.25366i −0.398984 + 0.560295i
\(218\) −2.56560 + 8.09082i −0.173765 + 0.547979i
\(219\) −1.40141 + 7.47205i −0.0946984 + 0.504915i
\(220\) 1.89935 4.21078i 0.128054 0.283891i
\(221\) −2.19765 + 2.79454i −0.147830 + 0.187981i
\(222\) −20.2716 + 15.4083i −1.36054 + 1.03413i
\(223\) −12.3151 + 1.77065i −0.824681 + 0.118571i −0.541719 0.840560i \(-0.682226\pi\)
−0.282962 + 0.959131i \(0.591317\pi\)
\(224\) 5.15579 14.3306i 0.344486 0.957504i
\(225\) −14.5104 + 4.41871i −0.967358 + 0.294581i
\(226\) 5.30228 8.74470i 0.352703 0.581689i
\(227\) −0.425480 8.93192i −0.0282401 0.592832i −0.967993 0.250978i \(-0.919248\pi\)
0.939753 0.341855i \(1.88894\pi\)
\(228\) −2.26475 0.526317i −0.149987 0.0348562i
\(229\) 3.65009 10.5462i 0.241205 0.696915i −0.757808 0.652478i \(-0.773729\pi\)
0.999012 0.0444369i \(-0.0141494\pi\)
\(230\) 5.33357 14.4022i 0.351685 0.949652i
\(231\) 3.14674 1.27806i 0.207040 0.0840899i
\(232\) 5.79944 4.85695i 0.380752 0.318874i
\(233\) 5.24442 13.0999i 0.343573 0.858204i −0.651462 0.758681i \(-0.725844\pi\)
0.995035 0.0995231i \(-0.0317317\pi\)
\(234\) −2.54396 0.913283i −0.166304 0.0597032i
\(235\) 10.4879 + 2.54433i 0.684153 + 0.165974i
\(236\) 7.90297 + 0.339584i 0.514440 + 0.0221050i
\(237\) 1.33420 + 25.3417i 0.0866659 + 1.64612i
\(238\) 16.3524 13.5658i 1.05997 0.879343i
\(239\) −0.451058 + 0.781255i −0.0291765 + 0.0505352i −0.880245 0.474520i \(-0.842622\pi\)
0.851068 + 0.525055i \(0.175955\pi\)
\(240\) 21.5115 4.46627i 1.38856 0.288296i
\(241\) −12.5138 + 27.4014i −0.806085 + 1.76508i −0.182695 + 0.983170i \(0.558482\pi\)
−0.623390 + 0.781911i \(0.714245\pi\)
\(242\) 14.4604 3.18095i 0.929550 0.204479i
\(243\) −15.3695 + 2.60348i −0.985955 + 0.167013i
\(244\) 17.3619 22.2903i 1.11148 1.42699i
\(245\) 0.292756 + 0.731268i 0.0187035 + 0.0467190i
\(246\) −2.18705 12.4474i −0.139441 0.793617i
\(247\) 0.348322 0.248039i 0.0221632 0.0157823i
\(248\) 10.5095 + 1.69186i 0.667356 + 0.107433i
\(249\) 0.847993 + 1.06729i 0.0537394 + 0.0676365i
\(250\) 0.0304400 + 0.249657i 0.00192519 + 0.0157897i
\(251\) −24.5706 12.6670i −1.55088 0.799536i −0.551483 0.834186i \(-0.685938\pi\)
−0.999399 + 0.0346503i \(0.988968\pi\)
\(252\) 13.7159 + 8.53324i 0.864021 + 0.537544i
\(253\) −2.39322 + 0.702714i −0.150461 + 0.0441792i
\(254\) −0.434183 0.184733i −0.0272431 0.0115912i
\(255\) 29.0144 + 9.87981i 1.81695 + 0.618697i
\(256\) −15.8965 + 1.81732i −0.993529 + 0.113583i
\(257\) −1.36277 + 14.2716i −0.0850072 + 0.890236i 0.847909 + 0.530142i \(0.177861\pi\)
−0.932916 + 0.360094i \(0.882745\pi\)
\(258\) −23.6477 + 19.8184i −1.47224 + 1.23384i
\(259\) −7.88475 + 26.8530i −0.489935 + 1.66856i
\(260\) −2.00397 + 3.50861i −0.124281 + 0.217595i
\(261\) 3.74770 + 7.09444i 0.231977 + 0.439135i
\(262\) −7.16765 26.5030i −0.442819 1.63736i
\(263\) −12.9361 28.3262i −0.797676 1.74667i −0.653239 0.757152i \(-0.726590\pi\)
−0.144436 0.989514i \(1.45386\pi\)
\(264\) −2.66882 2.36832i −0.164254 0.145760i
\(265\) −2.25317 + 15.6712i −0.138411 + 0.962672i
\(266\) −2.34688 + 1.01147i −0.143896 + 0.0620170i
\(267\) 0.726160 5.23628i 0.0444403 0.320455i
\(268\) −4.40333 + 15.7674i −0.268976 + 0.963147i
\(269\) 5.94192i 0.362285i −0.983457 0.181143i \(-0.942020\pi\)
0.983457 0.181143i \(-0.0579795\pi\)
\(270\) −0.150799 + 23.3025i −0.00917732 + 1.41814i
\(271\) 18.1727 + 2.61284i 1.10391 + 0.158719i 0.670091 0.742279i \(-0.266255\pi\)
0.433824 + 0.900998i \(0.357164\pi\)
\(272\) −20.3897 9.08311i −1.23631 0.550744i
\(273\) −2.84628 + 0.851226i −0.172265 + 0.0515185i
\(274\) 10.1135 2.73517i 0.610980 0.165237i
\(275\) 2.66519 2.54125i 0.160717 0.153243i
\(276\) −9.39539 7.24288i −0.565536 0.435970i
\(277\) −1.06720 0.313358i −0.0641218 0.0188279i 0.249514 0.968371i \(-0.419729\pi\)
−0.313636 + 0.949543i \(0.601547\pi\)
\(278\) 5.36631 5.93082i 0.321850 0.355707i
\(279\) −4.09125 + 10.5232i −0.244937 + 0.630010i
\(280\) 16.1182 17.9813i 0.963244 1.07459i
\(281\) 0.866962 4.49823i 0.0517186 0.268342i −0.946860 0.321647i \(-0.895764\pi\)
0.998578 + 0.0533054i \(0.0169757\pi\)
\(282\) 4.28642 7.14970i 0.255253 0.425758i
\(283\) −4.46968 15.2223i −0.265695 0.904873i −0.978973 0.203992i \(-0.934608\pi\)
0.713278 0.700881i \(1.75279\pi\)
\(284\) 4.82568 16.7225i 0.286352 0.992296i
\(285\) −3.01367 2.12340i −0.178514 0.125779i
\(286\) 0.651394 0.0794226i 0.0385177 0.00469635i
\(287\) −10.0532 9.58573i −0.593423 0.565828i
\(288\) 1.64959 16.8902i 0.0972031 0.995265i
\(289\) −8.20212 11.5183i −0.482478 0.677545i
\(290\) 11.4161 3.67866i 0.670379 0.216019i
\(291\) −18.1582 + 4.50139i −1.06445 + 0.263876i
\(292\) 5.39427 6.92550i 0.315676 0.405284i
\(293\) 19.4930 + 16.8908i 1.13880 + 0.986772i 0.999994 0.00354794i \(-0.00112935\pi\)
0.138802 + 0.990320i \(0.455675\pi\)
\(294\) 0.606556 0.0478521i 0.0353750 0.00279079i
\(295\) 11.4088 + 5.21024i 0.664248 + 0.303352i
\(296\) 28.9600 5.07814i 1.68327 0.295161i
\(297\) 3.04954 2.24126i 0.176952 0.130051i
\(298\) −6.54290 7.88687i −0.379020 0.456874i
\(299\) 2.14232 0.412899i 0.123894 0.0238786i
\(300\) 17.2295 + 3.14846i 0.994744 + 0.181776i
\(301\) −7.99518 + 32.9566i −0.460834 + 1.89958i
\(302\) −1.88836 + 27.2959i −0.108663 + 1.57070i
\(303\) 4.93598 8.64896i 0.283565 0.496870i
\(304\) 2.04532 + 1.73919i 0.117307 + 0.0997494i
\(305\) 38.7968 22.3994i 2.22150 1.28258i
\(306\) 13.9534 19.1266i 0.797662 1.09339i
\(307\) −23.3034 8.06540i −1.33000 0.460317i −0.432619 0.901577i \(-0.642410\pi\)
−0.897379 + 0.441260i \(0.854532\pi\)
\(308\) −3.90573 0.354605i −0.222550 0.0202055i
\(309\) −17.8333 1.61294i −1.01450 0.0917570i
\(310\) 14.4323 + 8.75093i 0.819700 + 0.497019i
\(311\) −3.88873 + 2.49913i −0.220509 + 0.141713i −0.646232 0.763141i \(-0.723656\pi\)
0.425723 + 0.904854i \(0.360020\pi\)
\(312\) 2.12695 + 2.28411i 0.120415 + 0.129313i
\(313\) 1.06213 + 7.38729i 0.0600353 + 0.417554i 0.997571 + 0.0696641i \(0.0221927\pi\)
−0.937535 + 0.347890i \(0.886898\pi\)
\(314\) 2.65877 2.67118i 0.150043 0.150743i
\(315\) 15.0648 + 20.7139i 0.848803 + 1.16710i
\(316\) 12.0485 26.7110i 0.677781 1.50261i
\(317\) −17.1881 0.818771i −0.965381 0.0459868i −0.441033 0.897491i \(-0.645388\pi\)
−0.524348 + 0.851504i \(0.675691\pi\)
\(318\) 11.0391 + 5.26282i 0.619041 + 0.295124i
\(319\) −1.58675 1.12992i −0.0888408 0.0632632i
\(320\) −24.4389 6.80652i −1.36618 0.380496i
\(321\) 15.6594 + 13.4324i 0.874021 + 0.749725i
\(322\) −13.0359 0.279943i −0.726465 0.0156006i
\(323\) 1.22504 + 3.53952i 0.0681630 + 0.196944i
\(324\) 17.1500 + 5.46606i 0.952777 + 0.303670i
\(325\) −2.53200 + 1.99119i −0.140450 + 0.110451i
\(326\) 21.3000 + 2.49644i 1.17970 + 0.138265i
\(327\) 5.66386 + 8.71700i 0.313212 + 0.482051i
\(328\) −4.34622 + 13.9310i −0.239980 + 0.769209i
\(329\) −0.870946 9.12096i −0.0480168 0.502855i
\(330\) −2.50924 5.07060i −0.138129 0.279127i
\(331\) 0.439441 + 0.852396i 0.0241538 + 0.0468519i 0.900604 0.434641i \(-0.143125\pi\)
−0.876450 + 0.481493i \(0.840095\pi\)
\(332\) −0.305083 1.54419i −0.0167436 0.0847482i
\(333\) −1.17229 + 31.1634i −0.0642411 + 1.70774i
\(334\) −0.517892 3.03654i −0.0283378 0.166152i
\(335\) −15.8691 + 20.5409i −0.867024 + 1.12227i
\(336\) −9.55661 16.0186i −0.521356 0.873884i
\(337\) −5.11053 21.0659i −0.278388 1.14753i −0.923547 0.383484i \(-0.874724\pi\)
0.645159 0.764048i \(-0.276791\pi\)
\(338\) 17.8047 0.465316i 0.968448 0.0253099i
\(339\) −4.15566 11.8155i −0.225704 0.641731i
\(340\) −24.5423 25.5004i −1.33099 1.38295i
\(341\) −0.260560 2.72871i −0.0141101 0.147768i
\(342\) −2.25845 + 1.73451i −0.122123 + 0.0937916i
\(343\) −13.7374 + 11.9036i −0.741752 + 0.642732i
\(344\) 34.7594 7.81615i 1.87410 0.421419i
\(345\) −9.48618 16.2424i −0.510719 0.874464i
\(346\) −18.1288 + 1.33903i −0.974609 + 0.0719869i
\(347\) 7.96307 + 23.0078i 0.427480 + 1.23512i 0.929034 + 0.369995i \(0.120641\pi\)
−0.501554 + 0.865126i \(0.667238\pi\)
\(348\) −0.0894696 9.26429i −0.00479608 0.496618i
\(349\) −24.2672 15.5956i −1.29899 0.834812i −0.305891 0.952067i \(-0.598954\pi\)
−0.993102 + 0.117255i \(0.962591\pi\)
\(350\) 17.2963 8.45185i 0.924525 0.451771i
\(351\) −2.84174 + 1.69801i −0.151681 + 0.0906333i
\(352\) 1.48468 + 3.84332i 0.0791337 + 0.204849i
\(353\) 2.53073 + 0.120554i 0.134697 + 0.00641642i 0.114822 0.993386i \(-0.463370\pi\)
0.0198750 + 0.999802i \(0.493673\pi\)
\(354\) 6.46406 7.21626i 0.343561 0.383540i
\(355\) 17.0590 21.6923i 0.905400 1.15131i
\(356\) −3.51759 + 4.98877i −0.186432 + 0.264404i
\(357\) −0.130111 26.0218i −0.00688619 1.37722i
\(358\) 7.84684 + 12.8064i 0.414718 + 0.676837i
\(359\) −19.6213 + 12.6098i −1.03557 + 0.665522i −0.943888 0.330266i \(-0.892861\pi\)
−0.0916842 + 0.995788i \(0.529225\pi\)
\(360\) 12.4926 23.8322i 0.658419 1.25607i
\(361\) 0.882620 + 18.5285i 0.0464537 + 0.975183i
\(362\) −1.50404 0.399255i −0.0790507 0.0209844i
\(363\) 8.22867 16.1593i 0.431893 0.848141i
\(364\) 3.37143 + 0.633520i 0.176711 + 0.0332055i
\(365\) 12.0540 6.95938i 0.630936 0.364271i
\(366\) −7.60322 33.7584i −0.397427 1.76458i
\(367\) −1.60296 + 4.00400i −0.0836738 + 0.209007i −0.964304 0.264797i \(-0.914695\pi\)
0.880630 + 0.473804i \(0.157119\pi\)
\(368\) 5.80629 + 12.4069i 0.302674 + 0.646753i
\(369\) −13.4814 7.60478i −0.701815 0.395889i
\(370\) 45.5762 + 9.80340i 2.36939 + 0.509655i
\(371\) 13.1987 2.54384i 0.685242 0.132070i
\(372\) 9.76997 8.63231i 0.506549 0.447565i
\(373\) −2.84896 + 4.93454i −0.147513 + 0.255501i −0.930308 0.366780i \(-0.880460\pi\)
0.782794 + 0.622280i \(0.213794\pi\)
\(374\) −0.939975 + 5.67053i −0.0486049 + 0.293216i
\(375\) 0.259961 + 0.165236i 0.0134243 + 0.00853276i
\(376\) −8.18407 + 5.06720i −0.422061 + 0.261321i
\(377\) 1.28771 + 1.11581i 0.0663204 + 0.0574670i
\(378\) 18.7375 6.34965i 0.963755 0.326591i
\(379\) 8.51672 + 21.2737i 0.437474 + 1.09276i 0.969295 + 0.245901i \(0.0790839\pi\)
−0.531820 + 0.846857i \(0.678492\pi\)
\(380\) 1.96823 + 3.77457i 0.100968 + 0.193632i
\(381\) −0.512323 + 0.267372i −0.0262471 + 0.0136979i
\(382\) −9.89112 + 18.2150i −0.506074 + 0.931958i
\(383\) −6.57162 6.26602i −0.335794 0.320179i 0.503356 0.864079i \(-0.332098\pi\)
−0.839150 + 0.543900i \(0.816947\pi\)
\(384\) −10.6355 + 16.4586i −0.542742 + 0.839899i
\(385\) −5.52702 2.84938i −0.281683 0.145218i
\(386\) −26.5627 12.8270i −1.35201 0.652878i
\(387\) 0.377882 + 37.7867i 0.0192088 + 1.92080i
\(388\) 21.0165 + 4.99503i 1.06695 + 0.253584i
\(389\) −5.98210 + 31.0381i −0.303304 + 1.57369i 0.435764 + 0.900061i \(0.356478\pi\)
−0.739068 + 0.673631i \(0.764734\pi\)
\(390\) 1.76332 + 4.62386i 0.0892890 + 0.234138i
\(391\) −1.81655 + 19.0238i −0.0918669 + 0.962073i
\(392\) −0.647757 0.272047i −0.0327167 0.0137404i
\(393\) −30.6563 13.8155i −1.54641 0.696897i
\(394\) −18.5135 15.2136i −0.932695 0.766452i
\(395\) 33.6256 32.0620i 1.69189 1.61321i
\(396\) −4.31598 + 0.685254i −0.216886 + 0.0344353i
\(397\) 13.3673 + 29.2703i 0.670885 + 1.46903i 0.872021 + 0.489469i \(0.162809\pi\)
−0.201136 + 0.979563i \(0.564463\pi\)
\(398\) −17.2792 + 12.9979i −0.866126 + 0.651527i
\(399\) −0.866772 + 3.00750i −0.0433929 + 0.150563i
\(400\) −16.0131 12.3532i −0.800657 0.617662i
\(401\) 13.4358i 0.670951i −0.942049 0.335476i \(-0.891103\pi\)
0.942049 0.335476i \(-0.108897\pi\)
\(402\) 11.5014 + 16.4231i 0.573637 + 0.819110i
\(403\) 2.39769i 0.119437i
\(404\) −9.64443 + 6.26175i −0.479828 + 0.311534i
\(405\) 21.9387 + 18.2548i 1.09014 + 0.907086i
\(406\) −6.12144 8.13772i −0.303802 0.403868i
\(407\) −3.14519 6.88700i −0.155901 0.341376i
\(408\) −24.4453 + 12.2390i −1.21022 + 0.605923i
\(409\) 21.1568 20.1730i 1.04614 0.997491i 0.0461398 0.998935i \(-0.485308\pi\)
0.999999 + 0.00144373i \(0.000459555\pi\)
\(410\) −14.6905 + 17.8768i −0.725510 + 0.882872i
\(411\) 5.27196 11.6984i 0.260046 0.577040i
\(412\) 17.4458 + 11.0973i 0.859494 + 0.546724i
\(413\) 1.01219 10.6001i 0.0498066 0.521598i
\(414\) −14.1581 + 3.26321i −0.695830 + 0.160378i
\(415\) 0.472321 2.45064i 0.0231853 0.120297i
\(416\) −0.973225 3.47001i −0.0477163 0.170131i
\(417\) −1.44255 9.68901i −0.0706421 0.474473i
\(418\) 0.300634 0.622567i 0.0147045 0.0304507i
\(419\) 22.8503 + 11.7801i 1.11631 + 0.575497i 0.914767 0.403983i \(-0.132374\pi\)
0.201542 + 0.979480i \(0.435405\pi\)
\(420\) −4.49148 29.2320i −0.219162 1.42638i
\(421\) 6.26850 + 5.97700i 0.305508 + 0.291301i 0.827287 0.561779i \(-0.189883\pi\)
−0.521779 + 0.853081i \(0.674731\pi\)
\(422\) −21.4185 11.6307i −1.04263 0.566174i
\(423\) −3.43557 9.61427i −0.167043 0.467462i
\(424\) −8.54135 11.2453i −0.414805 0.546120i
\(425\) −10.4863 26.1936i −0.508662 1.27058i
\(426\) −12.0771 17.5652i −0.585138 0.851037i
\(427\) −28.7442 24.9070i −1.39103 1.20533i
\(428\) −8.95697 22.0749i −0.432951 1.06703i
\(429\) 0.431127 0.678279i 0.0208150 0.0327476i
\(430\) 55.7291 + 9.23792i 2.68750 + 0.445492i
\(431\) 13.4206 23.2451i 0.646446 1.11968i −0.337519 0.941319i \(-0.609588\pi\)
0.983965 0.178359i \(-0.0570790\pi\)
\(432\) −14.7045 14.6894i −0.707470 0.706743i
\(433\) 25.5887 4.93183i 1.22972 0.237008i 0.467302 0.884098i \(-0.345226\pi\)
0.762414 + 0.647089i \(0.224014\pi\)
\(434\) 3.01334 14.0091i 0.144645 0.672456i
\(435\) 5.39140 13.6647i 0.258498 0.655172i
\(436\) −1.19666 11.9438i −0.0573094 0.572006i
\(437\) 0.854292 2.13392i 0.0408663 0.102079i
\(438\) −2.36229 10.4886i −0.112875 0.501164i
\(439\) 22.4618 12.9683i 1.07204 0.618943i 0.143303 0.989679i \(-0.454228\pi\)
0.928738 + 0.370736i \(0.120894\pi\)
\(440\) −0.109837 + 6.53179i −0.00523630 + 0.311391i
\(441\) 0.426157 0.611301i 0.0202932 0.0291096i
\(442\) 1.28997 4.85945i 0.0613575 0.231141i
\(443\) 1.61442 + 33.8908i 0.0767034 + 1.61020i 0.629578 + 0.776938i \(0.283228\pi\)
−0.552874 + 0.833265i \(0.686469\pi\)
\(444\) 17.7029 31.3578i 0.840143 1.48818i
\(445\) −8.14217 + 5.23266i −0.385976 + 0.248052i
\(446\) 15.0029 9.19275i 0.710410 0.435289i
\(447\) −12.5505 + 0.0627533i −0.593617 + 0.00296813i
\(448\) 1.32530 + 21.4975i 0.0626146 + 1.01566i
\(449\) −4.85458 + 6.17310i −0.229102 + 0.291327i −0.886990 0.461789i \(-0.847208\pi\)
0.657888 + 0.753116i \(0.271450\pi\)
\(450\) 16.3718 13.8606i 0.771772 0.653396i
\(451\) 3.75360 + 0.178806i 0.176750 + 0.00841964i
\(452\) −1.99156 + 14.3249i −0.0936749 + 0.673785i
\(453\) 24.3679 + 23.0033i 1.14490 + 1.08079i
\(454\) 5.55206 + 11.3620i 0.260571 + 0.533245i
\(455\) 4.57573 + 2.94064i 0.214514 + 0.137860i
\(456\) 3.23589 0.584106i 0.151535 0.0273533i
\(457\) −9.45708 27.3244i −0.442384 1.27818i −0.917316 0.398161i \(-0.869649\pi\)
0.474932 0.880023i \(-0.342473\pi\)
\(458\) 1.16258 + 15.7398i 0.0543236 + 0.735472i
\(459\) −7.25804 28.0732i −0.338776 1.31035i
\(460\) 1.13448 + 21.6899i 0.0528956 + 1.01130i
\(461\) 11.1337 9.64743i 0.518550 0.449326i −0.355842 0.934546i \(-0.615806\pi\)
0.874392 + 0.485220i \(0.161261\pi\)
\(462\) −3.37140 + 3.42118i −0.156852 + 0.159168i
\(463\) −3.08264 32.2828i −0.143262 1.50031i −0.726025 0.687668i \(-0.758634\pi\)
0.582763 0.812642i \(1.69803\pi\)
\(464\) −4.81332 + 9.55399i −0.223453 + 0.443533i
\(465\) 19.5004 6.85853i 0.904310 0.318057i
\(466\) 0.521349 + 19.9487i 0.0241510 + 0.924107i
\(467\) 2.60824 + 10.7513i 0.120695 + 0.497511i 0.999783 + 0.0208511i \(0.00663758\pi\)
−0.879088 + 0.476660i \(0.841847\pi\)
\(468\) 3.81511 0.237825i 0.176354 0.0109935i
\(469\) 20.8866 + 7.02808i 0.964452 + 0.324527i
\(470\) −15.0450 + 2.56599i −0.693976 + 0.118360i
\(471\) −0.461737 4.59273i −0.0212757 0.211622i
\(472\) −10.4539 + 3.98251i −0.481180 + 0.183310i
\(473\) −4.20391 8.15445i −0.193296 0.374942i
\(474\) −15.9173 32.1653i −0.731107 1.47740i
\(475\) 0.322585 + 3.37827i 0.0148012 + 0.155006i
\(476\) −13.6441 + 26.7713i −0.625378 + 1.22706i
\(477\) 13.5615 6.35798i 0.620938 0.291112i
\(478\) 0.148510 1.26711i 0.00679268 0.0579563i
\(479\) −8.79334 + 6.91516i −0.401778 + 0.315962i −0.798520 0.601968i \(-0.794383\pi\)
0.396742 + 0.917930i \(0.370141\pi\)
\(480\) −25.4377 + 17.8411i −1.16107 + 0.814332i
\(481\) 2.16604 + 6.25836i 0.0987629 + 0.285357i
\(482\) 0.914637 42.5914i 0.0416606 1.93999i
\(483\) −10.3973 + 12.1210i −0.473091 + 0.551525i
\(484\) −16.9997 + 12.2251i −0.772713 + 0.555688i
\(485\) 27.9003 + 19.8677i 1.26689 + 0.902146i
\(486\) 18.5036 11.9840i 0.839340 0.543606i
\(487\) 10.7486 + 0.512017i 0.487063 + 0.0232017i 0.289678 0.957124i \(-0.406452\pi\)
0.197386 + 0.980326i \(0.436755\pi\)
\(488\) −10.0718 + 38.6671i −0.455931 + 1.75038i
\(489\) 18.9185 18.2202i 0.855525 0.823947i
\(490\) −0.789524 0.785856i −0.0356671 0.0355014i
\(491\) 5.06161 + 35.2043i 0.228427 + 1.58875i 0.704737 + 0.709469i \(0.251065\pi\)
−0.476310 + 0.879278i \(0.658026\pi\)
\(492\) 9.80759 + 14.9417i 0.442160 + 0.673622i
\(493\) −12.5554 + 8.06884i −0.565465 + 0.363402i
\(494\) −0.313541 + 0.517102i −0.0141069 + 0.0232655i
\(495\) −6.74967 1.56615i −0.303375 0.0703934i
\(496\) −14.5960 + 3.68524i −0.655382 + 0.165472i
\(497\) −22.1408 7.66300i −0.993150 0.343733i
\(498\) −1.69871 0.911468i −0.0761209 0.0408438i
\(499\) 7.75593 4.47789i 0.347203 0.200458i −0.316250 0.948676i \(-0.602424\pi\)
0.663453 + 0.748218i \(0.269090\pi\)
\(500\) −0.179274 0.307199i −0.00801738 0.0137384i
\(501\) −3.27663 1.86998i −0.146389 0.0835446i
\(502\) 39.0007 + 2.69812i 1.74069 + 0.120423i
\(503\) −2.95059 + 12.1625i −0.131560 + 0.542299i 0.867438 + 0.497546i \(0.165765\pi\)
−0.998998 + 0.0447533i \(0.985750\pi\)
\(504\) −22.5896 3.40516i −1.00622 0.151678i
\(505\) −17.9028 + 3.45048i −0.796663 + 0.153544i
\(506\) 2.71482 2.25220i 0.120688 0.100122i
\(507\) 13.3984 17.2139i 0.595044 0.764496i
\(508\) 0.667288 0.00310768i 0.0296061 0.000137881i
\(509\) 32.6428 + 14.9075i 1.44687 + 0.660762i 0.975263 0.221048i \(-0.0709477\pi\)
0.471605 + 0.881810i \(0.343675\pi\)
\(510\) −43.2119 + 3.40905i −1.91346 + 0.150955i
\(511\) −8.93069 7.73849i −0.395071 0.342331i
\(512\) 19.6280 11.2580i 0.867443 0.497536i
\(513\) −0.113676 + 3.48580i −0.00501894 + 0.153902i
\(514\) −6.21837 19.2977i −0.274280 0.851185i
\(515\) 19.0163 + 26.7047i 0.837959 + 1.17675i
\(516\) 19.6190 38.9751i 0.863678 1.71578i
\(517\) 1.79392 + 1.71050i 0.0788967 + 0.0752278i
\(518\) −4.79029 39.2882i −0.210473 1.72622i
\(519\) −12.8233 + 18.1997i −0.562881 + 0.798880i
\(520\) 0.638736 5.67842i 0.0280104 0.249015i
\(521\) −7.28919 24.8247i −0.319345 1.08759i −0.950188 0.311679i \(-0.899109\pi\)
0.630842 0.775911i \(-0.282709\pi\)
\(522\) −8.83823 7.11605i −0.386839 0.311461i
\(523\) −7.00920 + 36.3672i −0.306491 + 1.59023i 0.422931 + 0.906162i \(0.361001\pi\)
−0.729422 + 0.684064i \(0.760211\pi\)
\(524\) 24.1434 + 30.4083i 1.05471 + 1.32839i
\(525\) 5.44395 22.9403i 0.237593 1.00120i
\(526\) 32.6556 + 29.5473i 1.42385 + 1.28832i
\(527\) −20.1510 5.91687i −0.877792 0.257743i
\(528\) 4.79170 + 1.58199i 0.208532 + 0.0688472i
\(529\) −8.15813 + 7.77876i −0.354701 + 0.338207i
\(530\) −5.84537 21.6138i −0.253907 0.938843i
\(531\) −1.80598 11.7272i −0.0783730 0.508915i
\(532\) 2.48182 2.62724i 0.107600 0.113905i
\(533\) −3.25357 0.467793i −0.140928 0.0202624i
\(534\) 1.98783 + 7.20698i 0.0860216 + 0.311876i
\(535\) 37.7727i 1.63306i
\(536\) −3.10676 22.9423i −0.134191 0.990955i
\(537\) 18.2203 + 2.52676i 0.786264 + 0.109038i
\(538\) 3.32588 + 7.71695i 0.143389 + 0.332701i
\(539\) −0.0257470 + 0.179074i −0.00110900 + 0.00771328i
\(540\) −12.8473 30.3481i −0.552859 1.30597i
\(541\) 6.65834 + 14.5797i 0.286264 + 0.626832i 0.997065 0.0765621i \(-0.0243943\pi\)
−0.710800 + 0.703394i \(0.751667\pi\)
\(542\) −25.0640 + 6.77846i −1.07659 + 0.291160i
\(543\) −1.54692 + 1.11326i −0.0663849 + 0.0477745i
\(544\) 31.5648 + 0.383756i 1.35333 + 0.0164534i
\(545\) 5.36209 18.2616i 0.229687 0.782242i
\(546\) 3.22010 2.69867i 0.137807 0.115492i
\(547\) 0.0934971 0.979146i 0.00399765 0.0418653i −0.993253 0.115968i \(-0.963003\pi\)
0.997251 + 0.0741024i \(0.0236092\pi\)
\(548\) −11.6038 + 9.21309i −0.495689 + 0.393564i
\(549\) −37.8622 19.0425i −1.61592 0.812714i
\(550\) −2.03894 + 4.79219i −0.0869408 + 0.204340i
\(551\) 1.72240 0.505743i 0.0733768 0.0215454i
\(552\) 16.2561 + 4.14765i 0.691908 + 0.176536i
\(553\) −35.0606 18.0750i −1.49093 0.768627i
\(554\) 1.56140 0.190377i 0.0663375 0.00808835i
\(555\) 44.7034 35.5183i 1.89755 1.50767i
\(556\) −3.64972 + 10.7062i −0.154783 + 0.454045i
\(557\) 4.51883 3.21785i 0.191469 0.136345i −0.480302 0.877103i \(-0.659473\pi\)
0.671772 + 0.740758i \(0.265534\pi\)
\(558\) −0.576749 15.9568i −0.0244157 0.675507i
\(559\) 2.98254 + 7.45002i 0.126148 + 0.315102i
\(560\) −10.8684 + 32.3748i −0.459274 + 1.36808i
\(561\) 4.63658 + 5.29715i 0.195757 + 0.223646i
\(562\) 1.39185 + 6.32725i 0.0587115 + 0.266899i
\(563\) 4.13840 9.06183i 0.174413 0.381911i −0.802157 0.597114i \(-0.796314\pi\)
0.976569 + 0.215203i \(0.0690413\pi\)
\(564\) −1.56500 + 11.6848i −0.0658983 + 0.492018i
\(565\) −11.4657 + 19.8592i −0.482367 + 0.835484i
\(566\) 14.3253 + 17.2679i 0.602138 + 0.725823i
\(567\) 8.55392 22.6705i 0.359231 0.952070i
\(568\) 3.09283 + 24.4191i 0.129772 + 1.02460i
\(569\) −1.09226 0.264978i −0.0457897 0.0111085i 0.212799 0.977096i \(-0.431742\pi\)
−0.258588 + 0.965988i \(0.583257\pi\)
\(570\) 5.10248 + 1.07087i 0.213719 + 0.0448540i
\(571\) 9.78124 24.4323i 0.409332 1.02246i −0.570260 0.821464i \(-0.693157\pi\)
0.979592 0.200998i \(-0.0644183\pi\)
\(572\) −0.801529 + 0.467754i −0.0335136 + 0.0195578i
\(573\) 9.55259 + 23.5197i 0.399065 + 0.982550i
\(574\) 18.4219 + 6.82218i 0.768914 + 0.284752i
\(575\) −5.66316 + 16.3626i −0.236170 + 0.682369i
\(576\) 7.31160 + 22.8591i 0.304650 + 0.952464i
\(577\) −1.15975 24.3461i −0.0482809 1.01354i −0.884907 0.465767i \(-0.845778\pi\)
0.836626 0.547774i \(-0.184525\pi\)
\(578\) 17.0995 + 10.3681i 0.711245 + 0.431258i
\(579\) −32.7869 + 15.1719i −1.36258 + 0.630521i
\(580\) −12.7674 + 11.1676i −0.530138 + 0.463708i
\(581\) −2.09731 + 0.301547i −0.0870110 + 0.0125103i
\(582\) 21.0631 16.0098i 0.873092 0.663628i
\(583\) −2.24784 + 2.85836i −0.0930959 + 0.118381i
\(584\) −3.12928 + 12.0137i −0.129490 + 0.497130i
\(585\) 5.74705 + 1.92494i 0.237611 + 0.0795864i
\(586\) −34.7705 11.0258i −1.43636 0.455470i
\(587\) 24.2913 34.1124i 1.00261 1.40797i 0.0914989 0.995805i \(-0.470834\pi\)
0.911110 0.412163i \(-0.135226\pi\)
\(588\) −0.760968 + 0.401655i −0.0313818 + 0.0165640i
\(589\) 2.12506 + 1.36570i 0.0875618 + 0.0562725i
\(590\) −17.7333 0.380817i −0.730070 0.0156780i
\(591\) −28.7895 + 5.69816i −1.18424 + 0.234391i
\(592\) −34.7689 + 22.8050i −1.42899 + 0.937279i
\(593\) 26.1989 + 33.3146i 1.07586 + 1.36807i 0.925199 + 0.379483i \(0.123898\pi\)
0.150662 + 0.988585i \(0.451859\pi\)
\(594\) −2.70603 + 4.61772i −0.111030 + 0.189467i
\(595\) −36.0059 + 31.1993i −1.47610 + 1.27905i
\(596\) 12.9120 + 6.58066i 0.528896 + 0.269554i
\(597\) −1.12777 + 26.4575i −0.0461565 + 1.08283i
\(598\) −2.55119 + 1.73537i −0.104326 + 0.0709646i
\(599\) 25.1009 12.9404i 1.02560 0.528731i 0.138522 0.990359i \(-0.455765\pi\)
0.887073 + 0.461628i \(0.152735\pi\)
\(600\) −24.1387 + 5.55488i −0.985460 + 0.226777i
\(601\) 4.83990 + 19.9503i 0.197424 + 0.813792i 0.981239 + 0.192797i \(0.0617559\pi\)
−0.783815 + 0.620994i \(0.786729\pi\)
\(602\) −8.06324 47.2768i −0.328633 1.92686i
\(603\) 24.4841 + 1.87885i 0.997069 + 0.0765128i
\(604\) −12.8259 36.5070i −0.521877 1.48545i
\(605\) −32.2644 + 7.82725i −1.31173 + 0.318223i
\(606\) −1.56942 + 13.9955i −0.0637534 + 0.568528i
\(607\) 13.0368 + 25.2880i 0.529149 + 1.02641i 0.990282 + 0.139075i \(0.0444129\pi\)
−0.461133 + 0.887331i \(0.652557\pi\)
\(608\) −3.62980 1.11391i −0.147208 0.0451751i
\(609\) −12.4603 0.531129i −0.504918 0.0215224i
\(610\) −37.8490 + 50.8065i −1.53246 + 2.05710i
\(611\) −1.41983 1.63858i −0.0574404 0.0662897i
\(612\) −7.41594 + 32.6504i −0.299772 + 1.31982i
\(613\) −7.19186 + 5.65574i −0.290476 + 0.228433i −0.752754 0.658302i \(-0.771275\pi\)
0.462277 + 0.886735i \(0.347032\pi\)
\(614\) 34.7794 2.56888i 1.40358 0.103672i
\(615\) 5.50221 + 27.7995i 0.221870 + 1.12098i
\(616\) 5.27098 1.72563i 0.212374 0.0695274i
\(617\) −14.6781 + 22.8396i −0.590918 + 0.919487i 0.409057 + 0.912509i \(0.365858\pi\)
−0.999976 + 0.00697814i \(0.997779\pi\)
\(618\) 24.0635 7.88711i 0.967977 0.317266i
\(619\) 18.8152 + 13.3982i 0.756246 + 0.538520i 0.891898 0.452236i \(-0.149374\pi\)
−0.135652 + 0.990756i \(0.543313\pi\)
\(620\) −23.6419 3.28688i −0.949480 0.132004i
\(621\) −7.91581 + 15.9370i −0.317650 + 0.639530i
\(622\) 3.65157 5.42234i 0.146414 0.217416i
\(623\) 6.45910 + 5.07949i 0.258778 + 0.203505i
\(624\) −4.04083 1.77593i −0.161763 0.0710940i
\(625\) 3.51752 + 24.4649i 0.140701 + 0.978595i
\(626\) −5.51432 8.99959i −0.220397 0.359696i
\(627\) −0.355592 0.768446i −0.0142010 0.0306888i
\(628\) −1.95788 + 4.95734i −0.0781280 + 0.197819i
\(629\) −57.9427 + 2.76015i −2.31033 + 0.110054i
\(630\) −31.1593 18.4696i −1.24142 0.735847i
\(631\) 12.6954 + 4.39392i 0.505396 + 0.174919i 0.567856 0.823128i \(-0.307773\pi\)
−0.0624595 + 0.998048i \(0.519894\pi\)
\(632\) −0.696753 + 41.4343i −0.0277153 + 1.64817i
\(633\) −27.6562 + 11.2326i −1.09923 + 0.446457i
\(634\) 22.7810 8.55737i 0.904750 0.339856i
\(635\) 0.982251 + 0.393234i 0.0389795 + 0.0156050i
\(636\) −17.2826 0.656062i −0.685298 0.0260145i
\(637\) 0.0373086 0.153788i 0.00147822 0.00609331i
\(638\) 2.69321 + 0.579307i 0.106625 + 0.0229350i
\(639\) −26.0126 2.22164i −1.02904 0.0878867i
\(640\) 35.5494 4.83939i 1.40521 0.191294i
\(641\) −24.7123 14.2677i −0.976078 0.563539i −0.0749942 0.997184i \(-0.523894\pi\)
−0.901084 + 0.433645i \(0.857227\pi\)
\(642\) −27.8559 8.68007i −1.09938 0.342575i
\(643\) 2.33112 + 1.06459i 0.0919305 + 0.0419833i 0.460850 0.887478i \(-0.347545\pi\)
−0.368919 + 0.929462i \(0.620272\pi\)
\(644\) 17.0869 6.93306i 0.673317 0.273201i
\(645\) 52.0596 45.5676i 2.04984 1.79422i
\(646\) −3.57217 3.91118i −0.140545 0.153884i
\(647\) 29.4188 11.7775i 1.15657 0.463022i 0.287536 0.957770i \(-0.407164\pi\)
0.869036 + 0.494748i \(0.164740\pi\)
\(648\) −25.3327 + 2.50045i −0.995164 + 0.0982270i
\(649\) 1.67096 + 2.34654i 0.0655909 + 0.0921096i
\(650\) 2.17386 4.00326i 0.0852658 0.157021i
\(651\) −10.9175 13.7408i −0.427891 0.538543i
\(652\) −29.0604 + 8.68010i −1.13809 + 0.339939i
\(653\) −16.8821 + 32.7466i −0.660646 + 1.28147i 0.285700 + 0.958319i \(0.407774\pi\)
−0.946346 + 0.323155i \(0.895256\pi\)
\(654\) −12.2350 8.15080i −0.478427 0.318721i
\(655\) 17.3444 + 59.0697i 0.677703 + 2.30805i
\(656\) −2.15303 20.5253i −0.0840615 0.801378i
\(657\) −11.7636 5.91642i −0.458942 0.230821i
\(658\) 6.23641 + 11.3582i 0.243120 + 0.442788i
\(659\) 4.60951 + 0.440154i 0.179561 + 0.0171460i 0.184449 0.982842i \(-0.440950\pi\)
−0.00488822 + 0.999988i \(0.501556\pi\)
\(660\) 6.09700 + 5.18085i 0.237325 + 0.201664i
\(661\) −11.2048 3.29003i −0.435817 0.127967i 0.0564623 0.998405i \(-0.482018\pi\)
−0.492279 + 0.870437i \(0.663836\pi\)
\(662\) −1.04783 0.861064i −0.0407250 0.0334662i
\(663\) −3.59686 4.99801i −0.139691 0.194106i
\(664\) 1.26055 + 1.83472i 0.0489188 + 0.0712009i
\(665\) 5.21257 2.38050i 0.202135 0.0923119i
\(666\) −15.9206 41.1290i −0.616911 1.59372i
\(667\) 9.06579 + 1.30346i 0.351029 + 0.0504703i
\(668\) 2.37225 + 3.65376i 0.0917850 + 0.141368i
\(669\) 2.96016 21.3455i 0.114446 0.825264i
\(670\) 9.11237 35.5595i 0.352042 1.37378i
\(671\) 10.2893 0.397214
\(672\) 21.3775 + 15.4547i 0.824657 + 0.596176i
\(673\) 2.76286 19.2161i 0.106500 0.740726i −0.864670 0.502340i \(-0.832473\pi\)
0.971171 0.238386i \(-0.0766183\pi\)
\(674\) 18.4284 + 24.4984i 0.709837 + 0.943643i
\(675\) −0.394070 26.2692i −0.0151678 1.01110i
\(676\) −22.8631 + 10.5702i −0.879348 + 0.406545i
\(677\) 24.2581 + 25.4411i 0.932314 + 0.977783i 0.999801 0.0199375i \(-0.00634672\pi\)
−0.0674874 + 0.997720i \(0.521498\pi\)
\(678\) 12.0106 + 13.0191i 0.461264 + 0.499996i
\(679\) 8.19258 27.9014i 0.314402 1.07076i
\(680\) 46.1472 + 19.3810i 1.76966 + 0.743228i
\(681\) 15.0696 + 3.57615i 0.577467 + 0.137038i
\(682\) 1.86574 + 3.39802i 0.0714430 + 0.130117i
\(683\) −39.1945 7.55413i −1.49974 0.289051i −0.627687 0.778466i \(-0.715998\pi\)
−0.872051 + 0.489415i \(0.837210\pi\)
\(684\) 1.96226 3.51679i 0.0750290 0.134468i
\(685\) −22.5409 + 6.61861i −0.861245 + 0.252884i
\(686\) 11.1784 23.1488i 0.426795 0.883825i
\(687\) 15.8014 + 11.1335i 0.602861 + 0.424769i
\(688\) −40.7682 + 29.6070i −1.55427 + 1.12876i
\(689\) 2.19496 2.30201i 0.0836214 0.0876996i
\(690\) 21.4114 + 15.7849i 0.815118 + 0.600919i
\(691\) −11.9005 + 8.47430i −0.452716 + 0.322377i −0.783569 0.621305i \(-0.786603\pi\)
0.330853 + 0.943682i \(0.392664\pi\)
\(692\) 22.7949 11.8863i 0.866532 0.451849i
\(693\) 0.617718 + 5.85018i 0.0234652 + 0.222230i
\(694\) −23.2200 25.4237i −0.881421 0.965071i
\(695\) −11.7447 + 13.5541i −0.445503 + 0.514138i
\(696\) 5.30171 + 11.9817i 0.200961 + 0.454167i
\(697\) 11.9605 26.1898i 0.453035 0.992009i
\(698\) 40.2459 + 6.67135i 1.52333 + 0.252514i
\(699\) 19.2868 + 15.0118i 0.729493 + 0.567800i
\(700\) −17.7324 + 20.6580i −0.670224 + 0.780797i
\(701\) 3.16019 + 16.3966i 0.119359 + 0.619292i 0.991507 + 0.130051i \(0.0415140\pi\)
−0.872149 + 0.489241i \(0.837274\pi\)
\(702\) 2.74022 3.79587i 0.103423 0.143266i
\(703\) 6.78052 + 1.64494i 0.255732 + 0.0620400i
\(704\) −4.07942 4.16041i −0.153749 0.156801i
\(705\) −9.26515 + 16.2346i −0.348946 + 0.611432i
\(706\) −3.35422 + 1.25996i −0.126238 + 0.0474193i
\(707\) 7.73957 + 13.4053i 0.291077 + 0.504159i
\(708\) −4.35591 + 12.9901i −0.163705 + 0.488198i
\(709\) 6.75902 19.5289i 0.253840 0.733424i −0.744027 0.668150i \(-0.767087\pi\)
0.997867 0.0652743i \(-0.0207922\pi\)
\(710\) −10.0132 + 37.7210i −0.375789 + 1.41564i
\(711\) −42.8165 9.93488i −1.60574 0.372587i
\(712\) 1.77603 8.44798i 0.0665595 0.316601i
\(713\) 6.96803 + 10.8425i 0.260955 + 0.406054i
\(714\) 14.7342 + 33.7224i 0.551413 + 1.26203i
\(715\) −1.45648 + 0.209410i −0.0544692 + 0.00783149i
\(716\) −17.3591 12.2399i −0.648738 0.457426i
\(717\) −1.08390 1.12544i −0.0404789 0.0420302i
\(718\) 18.4246 27.3594i 0.687602 1.02104i
\(719\) −0.0411406 + 0.863647i −0.00153428 + 0.0322086i −0.999505 0.0314714i \(-0.989981\pi\)
0.997970 + 0.0636800i \(0.0202837\pi\)
\(720\) −2.88494 + 37.9441i −0.107515 + 1.41409i
\(721\) 16.1448 22.6722i 0.601264 0.844357i
\(722\) −11.5173 23.5695i −0.428628 0.877165i
\(723\) −39.6021 33.9702i −1.47282 1.26337i
\(724\) 2.17682 0.323334i 0.0809009 0.0120166i
\(725\) −12.7787 + 4.42276i −0.474590 + 0.164257i
\(726\) −1.64198 + 25.5924i −0.0609397 + 0.949822i
\(727\) 0.557914 + 0.709446i 0.0206919 + 0.0263119i 0.796289 0.604916i \(-0.206794\pi\)
−0.775597 + 0.631228i \(0.782551\pi\)
\(728\) −4.73318 + 1.06432i −0.175423 + 0.0394464i
\(729\) 3.03913 26.8284i 0.112560 0.993645i
\(730\) −11.7595 + 15.7854i −0.435239 + 0.584243i
\(731\) −69.9727 + 6.68158i −2.58803 + 0.247127i
\(732\) 28.7702 + 39.5873i 1.06338 + 1.46319i
\(733\) 40.1467 20.6971i 1.48285 0.764464i 0.488701 0.872451i \(-0.337471\pi\)
0.994152 + 0.107987i \(0.0344406\pi\)
\(734\) −0.159351 6.09734i −0.00588175 0.225057i
\(735\) −1.35748 + 0.136476i −0.0500714 + 0.00503400i
\(736\) −14.4853 12.8632i −0.533936 0.474145i
\(737\) −5.51539 + 2.26333i −0.203162 + 0.0833709i
\(738\) 21.7654 + 2.33058i 0.801195 + 0.0857899i
\(739\) 16.4468 3.98994i 0.605004 0.146772i 0.0784557 0.996918i \(-0.475001\pi\)
0.526548 + 0.850145i \(0.323486\pi\)
\(740\) −64.6785 + 12.7784i −2.37763 + 0.469745i
\(741\) 0.245738 + 0.698690i 0.00902740 + 0.0256670i
\(742\) −15.7177 + 10.6915i −0.577014 + 0.392497i
\(743\) 22.8843 2.18518i 0.839542 0.0801665i 0.333579 0.942722i \(-0.391743\pi\)
0.505962 + 0.862556i \(0.331137\pi\)
\(744\) −7.85678 + 16.6796i −0.288043 + 0.611504i
\(745\) 15.0476 + 17.3659i 0.551303 + 0.636237i
\(746\) 0.938012 8.00328i 0.0343431 0.293021i
\(747\) −2.18304 + 0.899390i −0.0798733 + 0.0329070i
\(748\) −1.95320 7.89063i −0.0714161 0.288510i
\(749\) −30.3052 + 10.4887i −1.10733 + 0.383250i