Properties

Label 605.2.s.b.16.8
Level $605$
Weight $2$
Character 605.16
Analytic conductor $4.831$
Analytic rank $0$
Dimension $880$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.s (of order \(55\), degree \(40\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(880\)
Relative dimension: \(22\) over \(\Q(\zeta_{55})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label 16.8
Character \(\chi\) \(=\) 605.16
Dual form 605.2.s.b.416.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.756073 - 0.0867513i) q^{2} +(-0.251034 - 0.182387i) q^{3} +(-1.38390 - 0.321813i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(0.173978 + 0.159675i) q^{6} +(-2.99384 - 3.08059i) q^{7} +(2.45196 + 0.874859i) q^{8} +(-0.897298 - 2.76160i) q^{9} +O(q^{10})\) \(q+(-0.756073 - 0.0867513i) q^{2} +(-0.251034 - 0.182387i) q^{3} +(-1.38390 - 0.321813i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(0.173978 + 0.159675i) q^{6} +(-2.99384 - 3.08059i) q^{7} +(2.45196 + 0.874859i) q^{8} +(-0.897298 - 2.76160i) q^{9} +(0.498371 - 0.575151i) q^{10} +(2.42167 + 2.26617i) q^{11} +(0.288712 + 0.333192i) q^{12} +(1.71763 - 2.84837i) q^{13} +(1.99632 + 2.58887i) q^{14} +(0.292250 - 0.104274i) q^{15} +(0.772128 + 0.379630i) q^{16} +(-4.81891 + 3.94041i) q^{17} +(0.438850 + 2.16581i) q^{18} +(1.78622 + 0.102140i) q^{19} +(1.04678 - 0.960728i) q^{20} +(0.189697 + 1.31937i) q^{21} +(-1.63436 - 1.92347i) q^{22} +(-0.955336 + 6.64451i) q^{23} +(-0.455964 - 0.666826i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(-1.54575 + 2.00457i) q^{26} +(-0.566086 + 1.74223i) q^{27} +(3.15181 + 5.22669i) q^{28} +(-3.64129 + 9.35259i) q^{29} +(-0.230008 + 0.0534861i) q^{30} +(-2.62447 - 1.10911i) q^{31} +(-4.93103 - 3.16898i) q^{32} +(-0.194601 - 1.01057i) q^{33} +(3.98529 - 2.56119i) q^{34} +(4.23279 - 0.732513i) q^{35} +(0.353055 + 4.11055i) q^{36} +(-0.0668430 + 0.778239i) q^{37} +(-1.34166 - 0.232183i) q^{38} +(-0.950687 + 0.401764i) q^{39} +(-2.10617 + 1.53022i) q^{40} +(-2.43396 + 1.37452i) q^{41} +(-0.0289675 - 1.01400i) q^{42} +(-2.85568 + 0.838504i) q^{43} +(-2.62207 - 3.91548i) q^{44} +(2.78610 + 0.818072i) q^{45} +(1.29872 - 4.94086i) q^{46} +(0.226883 - 1.11971i) q^{47} +(-0.124591 - 0.236126i) q^{48} +(-0.327055 + 11.4484i) q^{49} +(0.193469 + 0.736031i) q^{50} +(1.92839 - 0.110269i) q^{51} +(-3.29367 + 3.38911i) q^{52} +(3.81127 - 1.87387i) q^{53} +(0.579144 - 1.26815i) q^{54} +(-3.23755 + 0.719894i) q^{55} +(-4.64571 - 10.1727i) q^{56} +(-0.429774 - 0.351424i) q^{57} +(3.56443 - 6.75535i) q^{58} +(1.58966 + 0.897723i) q^{59} +(-0.438002 + 0.0502561i) q^{60} +(12.7413 - 1.46193i) q^{61} +(1.88808 + 1.06625i) q^{62} +(-5.82098 + 11.0320i) q^{63} +(2.12115 + 1.73446i) q^{64} +(1.38174 + 3.02559i) q^{65} +(0.0594646 + 0.780944i) q^{66} +(0.522399 - 1.14389i) q^{67} +(7.93698 - 3.90235i) q^{68} +(1.45169 - 1.49376i) q^{69} +(-3.26384 + 0.186633i) q^{70} +(3.50605 + 13.3384i) q^{71} +(0.215868 - 7.55635i) q^{72} +(-0.182320 - 0.345535i) q^{73} +(0.118051 - 0.582607i) q^{74} +(-0.0788827 + 0.300101i) q^{75} +(-2.43909 - 0.716182i) q^{76} +(-0.268945 - 14.2447i) q^{77} +(0.753642 - 0.221289i) q^{78} +(0.302948 + 10.6046i) q^{79} +(-0.749196 + 0.423091i) q^{80} +(-6.58760 + 4.78617i) q^{81} +(1.95950 - 0.828090i) q^{82} +(-16.2549 - 2.81302i) q^{83} +(0.162068 - 1.88693i) q^{84} +(-0.532691 - 6.20201i) q^{85} +(2.23185 - 0.386236i) q^{86} +(2.61988 - 1.68369i) q^{87} +(3.95526 + 7.67519i) q^{88} +(13.3486 + 8.57864i) q^{89} +(-2.03552 - 0.860219i) q^{90} +(-13.9169 + 3.23624i) q^{91} +(3.46038 - 8.88792i) q^{92} +(0.456545 + 0.757094i) q^{93} +(-0.268677 + 0.826902i) q^{94} +(-1.09254 + 1.41683i) q^{95} +(0.659876 + 1.69488i) q^{96} +(-4.00028 - 5.85022i) q^{97} +(1.24044 - 8.62747i) q^{98} +(4.08530 - 8.72110i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} + O(q^{10}) \) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} - 6q^{10} + 5q^{11} - 5q^{12} - 26q^{13} - 108q^{14} - 12q^{15} + 34q^{16} - q^{17} - 14q^{18} + q^{19} + 19q^{20} - 10q^{21} + 275q^{22} - 51q^{23} + 283q^{24} + 22q^{25} - 16q^{27} - 4q^{28} - 19q^{29} + q^{30} - 34q^{31} - 122q^{32} + 19q^{33} + 52q^{34} + 8q^{35} - 21q^{36} - 109q^{37} - 10q^{38} - 9q^{39} - 64q^{40} + 4q^{41} - 49q^{42} - 97q^{43} + 17q^{44} - 80q^{45} - 91q^{46} + 166q^{47} - 159q^{48} + 175q^{49} + 4q^{50} - 112q^{51} - 128q^{52} - 141q^{53} - 37q^{54} - 5q^{55} + 79q^{56} - 204q^{57} - 190q^{58} + 9q^{59} - 22q^{60} + 2q^{61} - 105q^{62} - q^{63} - 176q^{64} - 14q^{65} - 112q^{66} - 13q^{67} - 35q^{68} - 53q^{69} + 24q^{70} - 50q^{71} + 705q^{72} + q^{73} + 40q^{74} - q^{75} - 148q^{76} - 104q^{77} - 187q^{78} - 83q^{79} - q^{80} - 238q^{81} - 54q^{82} - 151q^{83} + 4q^{84} - 29q^{85} - 39q^{86} - 74q^{87} - 143q^{88} - 52q^{89} - 28q^{90} - 188q^{91} - 253q^{92} + 122q^{93} - 187q^{94} + 122q^{95} - 155q^{96} + 283q^{97} - 92q^{98} + 172q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{55}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.756073 0.0867513i −0.534624 0.0613424i −0.157525 0.987515i \(-0.550351\pi\)
−0.377100 + 0.926173i \(0.623079\pi\)
\(3\) −0.251034 0.182387i −0.144935 0.105301i 0.512955 0.858415i \(-0.328551\pi\)
−0.657890 + 0.753114i \(0.728551\pi\)
\(4\) −1.38390 0.321813i −0.691952 0.160906i
\(5\) −0.564443 + 0.825472i −0.252427 + 0.369162i
\(6\) 0.173978 + 0.159675i 0.0710261 + 0.0651872i
\(7\) −2.99384 3.08059i −1.13156 1.16435i −0.984529 0.175221i \(-0.943936\pi\)
−0.147036 0.989131i \(-0.546973\pi\)
\(8\) 2.45196 + 0.874859i 0.866900 + 0.309309i
\(9\) −0.897298 2.76160i −0.299099 0.920533i
\(10\) 0.498371 0.575151i 0.157599 0.181879i
\(11\) 2.42167 + 2.26617i 0.730160 + 0.683276i
\(12\) 0.288712 + 0.333192i 0.0833441 + 0.0961842i
\(13\) 1.71763 2.84837i 0.476384 0.789994i −0.521618 0.853179i \(-0.674671\pi\)
0.998002 + 0.0631850i \(0.0201258\pi\)
\(14\) 1.99632 + 2.58887i 0.533538 + 0.691904i
\(15\) 0.292250 0.104274i 0.0754585 0.0269235i
\(16\) 0.772128 + 0.379630i 0.193032 + 0.0949074i
\(17\) −4.81891 + 3.94041i −1.16876 + 0.955689i −0.999553 0.0298921i \(-0.990484\pi\)
−0.169205 + 0.985581i \(0.554120\pi\)
\(18\) 0.438850 + 2.16581i 0.103438 + 0.510487i
\(19\) 1.78622 + 0.102140i 0.409788 + 0.0234325i 0.260768 0.965402i \(-0.416024\pi\)
0.149020 + 0.988834i \(0.452388\pi\)
\(20\) 1.04678 0.960728i 0.234068 0.214825i
\(21\) 0.189697 + 1.31937i 0.0413952 + 0.287910i
\(22\) −1.63436 1.92347i −0.348448 0.410086i
\(23\) −0.955336 + 6.64451i −0.199201 + 1.38548i 0.607408 + 0.794390i \(0.292209\pi\)
−0.806609 + 0.591085i \(0.798700\pi\)
\(24\) −0.455964 0.666826i −0.0930732 0.136115i
\(25\) −0.362808 0.931864i −0.0725615 0.186373i
\(26\) −1.54575 + 2.00457i −0.303147 + 0.393128i
\(27\) −0.566086 + 1.74223i −0.108943 + 0.335293i
\(28\) 3.15181 + 5.22669i 0.595636 + 0.987752i
\(29\) −3.64129 + 9.35259i −0.676171 + 1.73673i 1.40072e−5 1.00000i \(0.499996\pi\)
−0.676185 + 0.736732i \(0.736368\pi\)
\(30\) −0.230008 + 0.0534861i −0.0419935 + 0.00976518i
\(31\) −2.62447 1.10911i −0.471369 0.199202i 0.140627 0.990063i \(-0.455088\pi\)
−0.611997 + 0.790860i \(0.709633\pi\)
\(32\) −4.93103 3.16898i −0.871692 0.560202i
\(33\) −0.194601 1.01057i −0.0338757 0.175917i
\(34\) 3.98529 2.56119i 0.683471 0.439240i
\(35\) 4.23279 0.732513i 0.715472 0.123817i
\(36\) 0.353055 + 4.11055i 0.0588425 + 0.685091i
\(37\) −0.0668430 + 0.778239i −0.0109889 + 0.127942i −0.999770 0.0214276i \(-0.993179\pi\)
0.988781 + 0.149369i \(0.0477243\pi\)
\(38\) −1.34166 0.232183i −0.217645 0.0376650i
\(39\) −0.950687 + 0.401764i −0.152232 + 0.0643337i
\(40\) −2.10617 + 1.53022i −0.333014 + 0.241949i
\(41\) −2.43396 + 1.37452i −0.380121 + 0.214664i −0.669937 0.742418i \(-0.733679\pi\)
0.289816 + 0.957083i \(0.406406\pi\)
\(42\) −0.0289675 1.01400i −0.00446979 0.156463i
\(43\) −2.85568 + 0.838504i −0.435488 + 0.127871i −0.492126 0.870524i \(-0.663780\pi\)
0.0566382 + 0.998395i \(0.481962\pi\)
\(44\) −2.62207 3.91548i −0.395292 0.590281i
\(45\) 2.78610 + 0.818072i 0.415327 + 0.121951i
\(46\) 1.29872 4.94086i 0.191486 0.728490i
\(47\) 0.226883 1.11971i 0.0330943 0.163327i −0.960127 0.279563i \(-0.909810\pi\)
0.993222 + 0.116236i \(0.0370830\pi\)
\(48\) −0.124591 0.236126i −0.0179831 0.0340818i
\(49\) −0.327055 + 11.4484i −0.0467221 + 1.63549i
\(50\) 0.193469 + 0.736031i 0.0273606 + 0.104091i
\(51\) 1.92839 0.110269i 0.270028 0.0154408i
\(52\) −3.29367 + 3.38911i −0.456750 + 0.469985i
\(53\) 3.81127 1.87387i 0.523518 0.257396i −0.160275 0.987072i \(-0.551238\pi\)
0.683793 + 0.729676i \(0.260329\pi\)
\(54\) 0.579144 1.26815i 0.0788115 0.172573i
\(55\) −3.23755 + 0.719894i −0.436552 + 0.0970704i
\(56\) −4.64571 10.1727i −0.620809 1.35938i
\(57\) −0.429774 0.351424i −0.0569250 0.0465473i
\(58\) 3.56443 6.75535i 0.468033 0.887021i
\(59\) 1.58966 + 0.897723i 0.206956 + 0.116874i 0.591726 0.806139i \(-0.298447\pi\)
−0.384770 + 0.923012i \(0.625719\pi\)
\(60\) −0.438002 + 0.0502561i −0.0565458 + 0.00648803i
\(61\) 12.7413 1.46193i 1.63135 0.187180i 0.750601 0.660756i \(-0.229764\pi\)
0.880753 + 0.473575i \(0.157037\pi\)
\(62\) 1.88808 + 1.06625i 0.239786 + 0.135413i
\(63\) −5.82098 + 11.0320i −0.733375 + 1.38990i
\(64\) 2.12115 + 1.73446i 0.265144 + 0.216807i
\(65\) 1.38174 + 3.02559i 0.171384 + 0.375279i
\(66\) 0.0594646 + 0.780944i 0.00731959 + 0.0961275i
\(67\) 0.522399 1.14389i 0.0638212 0.139749i −0.875034 0.484062i \(-0.839161\pi\)
0.938855 + 0.344313i \(0.111888\pi\)
\(68\) 7.93698 3.90235i 0.962501 0.473230i
\(69\) 1.45169 1.49376i 0.174763 0.179827i
\(70\) −3.26384 + 0.186633i −0.390104 + 0.0223070i
\(71\) 3.50605 + 13.3384i 0.416091 + 1.58298i 0.763851 + 0.645392i \(0.223306\pi\)
−0.347760 + 0.937584i \(0.613057\pi\)
\(72\) 0.215868 7.55635i 0.0254402 0.890525i
\(73\) −0.182320 0.345535i −0.0213389 0.0404418i 0.873532 0.486766i \(-0.161824\pi\)
−0.894871 + 0.446324i \(0.852733\pi\)
\(74\) 0.118051 0.582607i 0.0137232 0.0677267i
\(75\) −0.0788827 + 0.300101i −0.00910859 + 0.0346527i
\(76\) −2.43909 0.716182i −0.279783 0.0821517i
\(77\) −0.268945 14.2447i −0.0306491 1.62333i
\(78\) 0.753642 0.221289i 0.0853332 0.0250561i
\(79\) 0.302948 + 10.6046i 0.0340844 + 1.19311i 0.819107 + 0.573641i \(0.194470\pi\)
−0.785022 + 0.619467i \(0.787349\pi\)
\(80\) −0.749196 + 0.423091i −0.0837627 + 0.0473030i
\(81\) −6.58760 + 4.78617i −0.731956 + 0.531797i
\(82\) 1.95950 0.828090i 0.216390 0.0914472i
\(83\) −16.2549 2.81302i −1.78421 0.308769i −0.819693 0.572804i \(-0.805856\pi\)
−0.964513 + 0.264035i \(0.914947\pi\)
\(84\) 0.162068 1.88693i 0.0176831 0.205880i
\(85\) −0.532691 6.20201i −0.0577785 0.672703i
\(86\) 2.23185 0.386236i 0.240666 0.0416489i
\(87\) 2.61988 1.68369i 0.280880 0.180511i
\(88\) 3.95526 + 7.67519i 0.421632 + 0.818178i
\(89\) 13.3486 + 8.57864i 1.41495 + 0.909334i 1.00000 0.000509376i \(-0.000162139\pi\)
0.414952 + 0.909843i \(0.363799\pi\)
\(90\) −2.03552 0.860219i −0.214563 0.0906751i
\(91\) −13.9169 + 3.23624i −1.45889 + 0.339251i
\(92\) 3.46038 8.88792i 0.360770 0.926629i
\(93\) 0.456545 + 0.757094i 0.0473415 + 0.0785070i
\(94\) −0.268677 + 0.826902i −0.0277119 + 0.0852885i
\(95\) −1.09254 + 1.41683i −0.112092 + 0.145363i
\(96\) 0.659876 + 1.69488i 0.0673483 + 0.172983i
\(97\) −4.00028 5.85022i −0.406167 0.594000i 0.567108 0.823643i \(-0.308062\pi\)
−0.973275 + 0.229643i \(0.926244\pi\)
\(98\) 1.24044 8.62747i 0.125304 0.871506i
\(99\) 4.08530 8.72110i 0.410588 0.876504i
\(100\) 0.202205 + 1.40637i 0.0202205 + 0.140637i
\(101\) 6.92478 6.35550i 0.689041 0.632396i −0.253168 0.967422i \(-0.581472\pi\)
0.942209 + 0.335026i \(0.108745\pi\)
\(102\) −1.46757 0.0839186i −0.145311 0.00830918i
\(103\) 0.416759 + 2.05679i 0.0410645 + 0.202661i 0.995362 0.0961956i \(-0.0306674\pi\)
−0.954298 + 0.298857i \(0.903395\pi\)
\(104\) 6.70348 5.48141i 0.657330 0.537496i
\(105\) −1.19617 0.588120i −0.116735 0.0573946i
\(106\) −3.04416 + 1.08615i −0.295675 + 0.105497i
\(107\) 8.60185 + 11.1551i 0.831572 + 1.07840i 0.995761 + 0.0919733i \(0.0293174\pi\)
−0.164189 + 0.986429i \(0.552501\pi\)
\(108\) 1.34408 2.22891i 0.129334 0.214477i
\(109\) −11.2849 13.0235i −1.08090 1.24742i −0.967229 0.253906i \(-0.918285\pi\)
−0.113671 0.993518i \(-0.536261\pi\)
\(110\) 2.51028 0.263430i 0.239346 0.0251171i
\(111\) 0.158720 0.183173i 0.0150651 0.0173860i
\(112\) −1.14214 3.51516i −0.107922 0.332151i
\(113\) −17.2806 6.16569i −1.62562 0.580019i −0.643034 0.765838i \(-0.722324\pi\)
−0.982584 + 0.185819i \(0.940506\pi\)
\(114\) 0.294454 + 0.302986i 0.0275781 + 0.0283772i
\(115\) −4.94562 4.53905i −0.461182 0.423269i
\(116\) 8.04898 11.7713i 0.747329 1.09293i
\(117\) −9.40727 2.18757i −0.869702 0.202241i
\(118\) −1.12402 0.816649i −0.103475 0.0751787i
\(119\) 26.5658 + 3.04814i 2.43528 + 0.279423i
\(120\) 0.807811 0.0737427
\(121\) 0.728943 + 10.9758i 0.0662675 + 0.997802i
\(122\) −9.76017 −0.883644
\(123\) 0.861702 + 0.0988711i 0.0776971 + 0.00891491i
\(124\) 3.27509 + 2.37949i 0.294112 + 0.213685i
\(125\) 0.974012 + 0.226497i 0.0871183 + 0.0202585i
\(126\) 5.35813 7.83601i 0.477340 0.698087i
\(127\) −10.1504 9.31592i −0.900700 0.826655i 0.0847885 0.996399i \(-0.472979\pi\)
−0.985488 + 0.169744i \(0.945706\pi\)
\(128\) 6.71696 + 6.91159i 0.593701 + 0.610904i
\(129\) 0.869806 + 0.310346i 0.0765821 + 0.0273244i
\(130\) −0.782224 2.40744i −0.0686056 0.211146i
\(131\) −5.64736 + 6.51740i −0.493412 + 0.569428i −0.946774 0.321898i \(-0.895679\pi\)
0.453362 + 0.891326i \(0.350225\pi\)
\(132\) −0.0559043 + 1.46115i −0.00486584 + 0.127177i
\(133\) −5.03302 5.80841i −0.436418 0.503653i
\(134\) −0.494206 + 0.819549i −0.0426929 + 0.0707982i
\(135\) −1.11864 1.45068i −0.0962774 0.124855i
\(136\) −15.2631 + 5.44587i −1.30880 + 0.466979i
\(137\) −3.35197 1.64805i −0.286378 0.140803i 0.292379 0.956302i \(-0.405553\pi\)
−0.578757 + 0.815500i \(0.696462\pi\)
\(138\) −1.22717 + 1.00345i −0.104464 + 0.0854196i
\(139\) 0.441463 + 2.17870i 0.0374444 + 0.184795i 0.994440 0.105308i \(-0.0335830\pi\)
−0.956995 + 0.290104i \(0.906310\pi\)
\(140\) −6.09350 0.348439i −0.514995 0.0294485i
\(141\) −0.261176 + 0.239705i −0.0219950 + 0.0201868i
\(142\) −1.49371 10.3890i −0.125349 0.871822i
\(143\) 10.6144 3.00536i 0.887621 0.251320i
\(144\) 0.355556 2.47295i 0.0296297 0.206079i
\(145\) −5.66499 8.28479i −0.470452 0.688014i
\(146\) 0.107872 + 0.277066i 0.00892752 + 0.0229301i
\(147\) 2.17014 2.81429i 0.178990 0.232119i
\(148\) 0.342952 1.05550i 0.0281904 0.0867613i
\(149\) −10.2288 16.9625i −0.837972 1.38962i −0.919558 0.392954i \(-0.871453\pi\)
0.0815862 0.996666i \(-0.474001\pi\)
\(150\) 0.0856752 0.220055i 0.00699535 0.0179674i
\(151\) −2.46590 + 0.573421i −0.200672 + 0.0466643i −0.325628 0.945498i \(-0.605576\pi\)
0.124956 + 0.992162i \(0.460121\pi\)
\(152\) 4.29040 + 1.81314i 0.347998 + 0.147065i
\(153\) 15.2058 + 9.77219i 1.22932 + 0.790035i
\(154\) −1.03240 + 10.7934i −0.0831936 + 0.869754i
\(155\) 2.39691 1.54040i 0.192524 0.123728i
\(156\) 1.44495 0.250059i 0.115689 0.0200207i
\(157\) 0.328796 + 3.82810i 0.0262408 + 0.305516i 0.997672 + 0.0681947i \(0.0217239\pi\)
−0.971431 + 0.237321i \(0.923731\pi\)
\(158\) 0.690910 8.04412i 0.0549658 0.639956i
\(159\) −1.29853 0.224719i −0.102980 0.0178214i
\(160\) 5.39919 2.28172i 0.426844 0.180386i
\(161\) 23.3291 16.9496i 1.83859 1.33581i
\(162\) 5.39591 3.04721i 0.423943 0.239412i
\(163\) 0.560274 + 19.6122i 0.0438841 + 1.53614i 0.661669 + 0.749796i \(0.269848\pi\)
−0.617785 + 0.786347i \(0.711970\pi\)
\(164\) 3.81071 1.11892i 0.297566 0.0873734i
\(165\) 0.944035 + 0.409769i 0.0734930 + 0.0319005i
\(166\) 12.0459 + 3.53698i 0.934939 + 0.274523i
\(167\) −0.386453 + 1.47022i −0.0299046 + 0.113769i −0.980425 0.196894i \(-0.936915\pi\)
0.950520 + 0.310663i \(0.100551\pi\)
\(168\) −0.689133 + 3.40100i −0.0531677 + 0.262393i
\(169\) 0.903735 + 1.71277i 0.0695181 + 0.131751i
\(170\) −0.135279 + 4.73539i −0.0103754 + 0.363188i
\(171\) −1.32071 5.02449i −0.100997 0.384232i
\(172\) 4.22183 0.241413i 0.321912 0.0184076i
\(173\) 10.5722 10.8785i 0.803789 0.827079i −0.183992 0.982928i \(-0.558902\pi\)
0.987781 + 0.155849i \(0.0498112\pi\)
\(174\) −2.12688 + 1.04572i −0.161238 + 0.0792756i
\(175\) −1.78450 + 3.90751i −0.134896 + 0.295380i
\(176\) 1.00953 + 2.66911i 0.0760963 + 0.201192i
\(177\) −0.235326 0.515292i −0.0176882 0.0387317i
\(178\) −9.34833 7.64409i −0.700687 0.572949i
\(179\) 0.438905 0.831817i 0.0328053 0.0621729i −0.867484 0.497465i \(-0.834264\pi\)
0.900289 + 0.435293i \(0.143355\pi\)
\(180\) −3.59242 2.02873i −0.267763 0.151213i
\(181\) 12.0168 1.37880i 0.893202 0.102485i 0.344777 0.938685i \(-0.387955\pi\)
0.548426 + 0.836199i \(0.315227\pi\)
\(182\) 10.8030 1.23953i 0.800769 0.0918797i
\(183\) −3.46513 1.95685i −0.256150 0.144654i
\(184\) −8.15546 + 15.4563i −0.601228 + 1.13945i
\(185\) −0.604685 0.494449i −0.0444573 0.0363526i
\(186\) −0.279502 0.612024i −0.0204941 0.0448758i
\(187\) −20.5994 1.37813i −1.50638 0.100779i
\(188\) −0.674323 + 1.47656i −0.0491800 + 0.107689i
\(189\) 7.06188 3.47209i 0.513676 0.252557i
\(190\) 0.948949 0.976445i 0.0688440 0.0708388i
\(191\) −10.0535 + 0.574881i −0.727447 + 0.0415969i −0.416889 0.908958i \(-0.636880\pi\)
−0.310558 + 0.950554i \(0.600516\pi\)
\(192\) −0.216139 0.822278i −0.0155985 0.0593428i
\(193\) 0.0639883 2.23988i 0.00460598 0.161230i −0.994033 0.109078i \(-0.965210\pi\)
0.998639 0.0521521i \(-0.0166081\pi\)
\(194\) 2.51699 + 4.77022i 0.180709 + 0.342482i
\(195\) 0.204964 1.01154i 0.0146778 0.0724378i
\(196\) 4.13686 15.7383i 0.295490 1.12416i
\(197\) −25.7146 7.55048i −1.83209 0.537949i −0.832223 0.554441i \(-0.812932\pi\)
−0.999864 + 0.0164912i \(0.994750\pi\)
\(198\) −3.84535 + 6.23939i −0.273277 + 0.443414i
\(199\) −16.5723 + 4.86608i −1.17478 + 0.344947i −0.810160 0.586208i \(-0.800620\pi\)
−0.364622 + 0.931156i \(0.618802\pi\)
\(200\) −0.0743418 2.60230i −0.00525676 0.184011i
\(201\) −0.339771 + 0.191878i −0.0239656 + 0.0135340i
\(202\) −5.78699 + 4.20449i −0.407171 + 0.295827i
\(203\) 39.7129 16.7828i 2.78730 1.17792i
\(204\) −2.70419 0.467978i −0.189331 0.0327650i
\(205\) 0.239205 2.78501i 0.0167068 0.194513i
\(206\) −0.136671 1.59124i −0.00952234 0.110867i
\(207\) 19.2067 3.32385i 1.33496 0.231023i
\(208\) 2.40755 1.54724i 0.166934 0.107282i
\(209\) 4.09417 + 4.29524i 0.283200 + 0.297108i
\(210\) 0.853375 + 0.548431i 0.0588885 + 0.0378453i
\(211\) −10.5035 4.43883i −0.723093 0.305581i −0.00351528 0.999994i \(-0.501119\pi\)
−0.719577 + 0.694412i \(0.755664\pi\)
\(212\) −5.87746 + 1.36675i −0.403666 + 0.0938685i
\(213\) 1.55261 3.98785i 0.106383 0.273243i
\(214\) −5.53591 9.18028i −0.378427 0.627551i
\(215\) 0.919709 2.83057i 0.0627237 0.193044i
\(216\) −2.91223 + 3.77665i −0.198152 + 0.256969i
\(217\) 4.44054 + 11.4054i 0.301443 + 0.774251i
\(218\) 7.40242 + 10.8257i 0.501355 + 0.733209i
\(219\) −0.0172525 + 0.119994i −0.00116582 + 0.00810842i
\(220\) 4.71213 + 0.0456236i 0.317692 + 0.00307594i
\(221\) 2.94662 + 20.4942i 0.198211 + 1.37859i
\(222\) −0.135895 + 0.124723i −0.00912066 + 0.00837086i
\(223\) 4.05864 + 0.232081i 0.271787 + 0.0155413i 0.192451 0.981307i \(-0.438356\pi\)
0.0793358 + 0.996848i \(0.474720\pi\)
\(224\) 5.00039 + 24.6779i 0.334103 + 1.64886i
\(225\) −2.24789 + 1.83809i −0.149859 + 0.122539i
\(226\) 12.5305 + 6.16082i 0.833515 + 0.409812i
\(227\) −23.8859 + 8.52249i −1.58537 + 0.565657i −0.974169 0.225821i \(-0.927493\pi\)
−0.611197 + 0.791479i \(0.709312\pi\)
\(228\) 0.481673 + 0.624644i 0.0318996 + 0.0413681i
\(229\) −0.403374 + 0.668921i −0.0266557 + 0.0442036i −0.869392 0.494124i \(-0.835489\pi\)
0.842736 + 0.538327i \(0.180944\pi\)
\(230\) 3.34548 + 3.86089i 0.220595 + 0.254580i
\(231\) −2.53053 + 3.62496i −0.166497 + 0.238505i
\(232\) −17.1105 + 19.7466i −1.12336 + 1.29643i
\(233\) −6.11316 18.8144i −0.400486 1.23257i −0.924606 0.380925i \(-0.875606\pi\)
0.524120 0.851645i \(-0.324394\pi\)
\(234\) 6.92281 + 2.47005i 0.452558 + 0.161472i
\(235\) 0.796229 + 0.819300i 0.0519402 + 0.0534453i
\(236\) −1.91104 1.75394i −0.124398 0.114171i
\(237\) 1.85809 2.71736i 0.120696 0.176512i
\(238\) −19.8213 4.60924i −1.28482 0.298772i
\(239\) −14.4801 10.5204i −0.936642 0.680510i 0.0109683 0.999940i \(-0.496509\pi\)
−0.947610 + 0.319430i \(0.896509\pi\)
\(240\) 0.265240 + 0.0304334i 0.0171212 + 0.00196447i
\(241\) −7.27753 −0.468787 −0.234393 0.972142i \(-0.575310\pi\)
−0.234393 + 0.972142i \(0.575310\pi\)
\(242\) 0.401033 8.36176i 0.0257794 0.537514i
\(243\) 8.02233 0.514633
\(244\) −18.1032 2.07715i −1.15894 0.132976i
\(245\) −9.26574 6.73196i −0.591967 0.430089i
\(246\) −0.642933 0.149508i −0.0409919 0.00953225i
\(247\) 3.35900 4.91238i 0.213728 0.312567i
\(248\) −5.46480 5.01555i −0.347015 0.318488i
\(249\) 3.56747 + 3.67084i 0.226079 + 0.232630i
\(250\) −0.716775 0.255745i −0.0453328 0.0161747i
\(251\) 8.27647 + 25.4723i 0.522406 + 1.60780i 0.769389 + 0.638781i \(0.220561\pi\)
−0.246983 + 0.969020i \(0.579439\pi\)
\(252\) 11.6059 13.3939i 0.731104 0.843739i
\(253\) −17.3711 + 13.9258i −1.09211 + 0.875510i
\(254\) 6.86625 + 7.92408i 0.430827 + 0.497201i
\(255\) −0.997442 + 1.65407i −0.0624622 + 0.103582i
\(256\) −7.82528 10.1480i −0.489080 0.634250i
\(257\) 4.45969 1.59121i 0.278188 0.0992571i −0.193271 0.981145i \(-0.561910\pi\)
0.471458 + 0.881888i \(0.343728\pi\)
\(258\) −0.630714 0.310101i −0.0392665 0.0193060i
\(259\) 2.59755 2.12401i 0.161404 0.131979i
\(260\) −0.938522 4.63179i −0.0582047 0.287251i
\(261\) 29.0954 + 1.66374i 1.80096 + 0.102983i
\(262\) 4.83521 4.43772i 0.298720 0.274163i
\(263\) 0.224156 + 1.55904i 0.0138221 + 0.0961346i 0.995565 0.0940797i \(-0.0299908\pi\)
−0.981743 + 0.190214i \(0.939082\pi\)
\(264\) 0.406948 2.64812i 0.0250459 0.162981i
\(265\) −0.604414 + 4.20379i −0.0371288 + 0.258237i
\(266\) 3.30144 + 4.82820i 0.202424 + 0.296036i
\(267\) −1.78633 4.58814i −0.109321 0.280790i
\(268\) −1.09107 + 1.41492i −0.0666477 + 0.0864303i
\(269\) −3.29469 + 10.1400i −0.200881 + 0.618248i 0.798977 + 0.601362i \(0.205375\pi\)
−0.999857 + 0.0168856i \(0.994625\pi\)
\(270\) 0.719927 + 1.19386i 0.0438133 + 0.0726563i
\(271\) 5.07400 13.0325i 0.308224 0.791666i −0.689504 0.724282i \(-0.742171\pi\)
0.997727 0.0673835i \(-0.0214651\pi\)
\(272\) −5.21671 + 1.21309i −0.316310 + 0.0735547i
\(273\) 4.08387 + 1.72586i 0.247167 + 0.104454i
\(274\) 2.39136 + 1.53684i 0.144467 + 0.0928436i
\(275\) 1.23316 3.07885i 0.0743625 0.185662i
\(276\) −2.48971 + 1.60004i −0.149863 + 0.0963111i
\(277\) 14.8602 2.57166i 0.892863 0.154516i 0.294415 0.955678i \(-0.404875\pi\)
0.598448 + 0.801162i \(0.295784\pi\)
\(278\) −0.144773 1.68556i −0.00868288 0.101093i
\(279\) −0.707987 + 8.24295i −0.0423861 + 0.493492i
\(280\) 11.0195 + 1.90700i 0.658541 + 0.113965i
\(281\) −6.77689 + 2.86394i −0.404276 + 0.170848i −0.581919 0.813247i \(-0.697698\pi\)
0.177644 + 0.984095i \(0.443153\pi\)
\(282\) 0.218263 0.158577i 0.0129974 0.00944315i
\(283\) −22.4299 + 12.6668i −1.33332 + 0.752960i −0.982989 0.183666i \(-0.941204\pi\)
−0.350331 + 0.936626i \(0.613931\pi\)
\(284\) −0.559565 19.5873i −0.0332041 1.16229i
\(285\) 0.532674 0.156407i 0.0315529 0.00926476i
\(286\) −8.28598 + 1.35146i −0.489960 + 0.0799132i
\(287\) 11.5212 + 3.38294i 0.680077 + 0.199689i
\(288\) −4.32685 + 16.4611i −0.254962 + 0.969977i
\(289\) 4.31909 21.3155i 0.254064 1.25386i
\(290\) 3.56443 + 6.75535i 0.209311 + 0.396688i
\(291\) −0.0627976 + 2.19820i −0.00368126 + 0.128861i
\(292\) 0.141116 + 0.536860i 0.00825817 + 0.0314173i
\(293\) −6.64459 + 0.379951i −0.388181 + 0.0221970i −0.250090 0.968223i \(-0.580460\pi\)
−0.138091 + 0.990420i \(0.544097\pi\)
\(294\) −1.88493 + 1.93955i −0.109931 + 0.113117i
\(295\) −1.63832 + 0.805507i −0.0953866 + 0.0468984i
\(296\) −0.844746 + 1.84974i −0.0490999 + 0.107514i
\(297\) −5.31907 + 2.93626i −0.308644 + 0.170379i
\(298\) 6.26217 + 13.7122i 0.362758 + 0.794328i
\(299\) 17.2851 + 14.1339i 0.999622 + 0.817387i
\(300\) 0.205742 0.389925i 0.0118785 0.0225123i
\(301\) 11.1325 + 6.28684i 0.641669 + 0.362367i
\(302\) 1.91415 0.219628i 0.110147 0.0126382i
\(303\) −2.89751 + 0.332459i −0.166458 + 0.0190993i
\(304\) 1.34042 + 0.756969i 0.0768783 + 0.0434152i
\(305\) −5.98495 + 11.3427i −0.342697 + 0.649484i
\(306\) −10.6490 8.70761i −0.608761 0.497781i
\(307\) 8.59544 + 18.8214i 0.490568 + 1.07419i 0.979421 + 0.201828i \(0.0646881\pi\)
−0.488853 + 0.872366i \(0.662585\pi\)
\(308\) −4.21194 + 19.7998i −0.239997 + 1.12820i
\(309\) 0.270510 0.592335i 0.0153888 0.0336967i
\(310\) −1.94587 + 0.956719i −0.110518 + 0.0543380i
\(311\) −20.0056 + 20.5852i −1.13441 + 1.16728i −0.150503 + 0.988610i \(0.548089\pi\)
−0.983909 + 0.178672i \(0.942820\pi\)
\(312\) −2.68254 + 0.153393i −0.151869 + 0.00868417i
\(313\) 7.39209 + 28.1224i 0.417825 + 1.58957i 0.759991 + 0.649933i \(0.225203\pi\)
−0.342166 + 0.939640i \(0.611160\pi\)
\(314\) 0.0834991 2.92285i 0.00471212 0.164946i
\(315\) −5.82098 11.0320i −0.327975 0.621582i
\(316\) 2.99344 14.7732i 0.168394 0.831058i
\(317\) −0.138393 + 0.526501i −0.00777291 + 0.0295712i −0.970920 0.239403i \(-0.923048\pi\)
0.963147 + 0.268974i \(0.0866847\pi\)
\(318\) 0.962287 + 0.282553i 0.0539624 + 0.0158448i
\(319\) −30.0126 + 14.3971i −1.68038 + 0.806081i
\(320\) −2.62902 + 0.771949i −0.146967 + 0.0431533i
\(321\) −0.124817 4.36917i −0.00696661 0.243863i
\(322\) −19.1089 + 10.7913i −1.06490 + 0.601376i
\(323\) −9.01013 + 6.54625i −0.501337 + 0.364243i
\(324\) 10.6569 4.50362i 0.592047 0.250201i
\(325\) −3.27746 0.567186i −0.181801 0.0314618i
\(326\) 1.27777 14.8768i 0.0707693 0.823952i
\(327\) 0.457585 + 5.32756i 0.0253045 + 0.294615i
\(328\) −7.17051 + 1.24090i −0.395925 + 0.0685175i
\(329\) −4.12863 + 2.65331i −0.227619 + 0.146282i
\(330\) −0.678211 0.391712i −0.0373343 0.0215630i
\(331\) 8.02987 + 5.16048i 0.441362 + 0.283646i 0.742388 0.669970i \(-0.233693\pi\)
−0.301027 + 0.953616i \(0.597329\pi\)
\(332\) 21.5899 + 9.12398i 1.18490 + 0.500743i
\(333\) 2.20916 0.513719i 0.121061 0.0281516i
\(334\) 0.419730 1.07807i 0.0229666 0.0589892i
\(335\) 0.649388 + 1.07689i 0.0354799 + 0.0588367i
\(336\) −0.354402 + 1.09074i −0.0193342 + 0.0595045i
\(337\) 1.59186 2.06436i 0.0867140 0.112453i −0.746547 0.665333i \(-0.768290\pi\)
0.833261 + 0.552880i \(0.186471\pi\)
\(338\) −0.534705 1.37338i −0.0290841 0.0747019i
\(339\) 3.21346 + 4.69954i 0.174531 + 0.255244i
\(340\) −1.25869 + 8.75441i −0.0682623 + 0.474775i
\(341\) −3.84217 8.63340i −0.208065 0.467525i
\(342\) 0.562669 + 3.91345i 0.0304257 + 0.211615i
\(343\) 14.0932 12.9347i 0.760963 0.698406i
\(344\) −7.73561 0.442338i −0.417076 0.0238493i
\(345\) 0.413656 + 2.04147i 0.0222705 + 0.109909i
\(346\) −8.93707 + 7.30781i −0.480460 + 0.392870i
\(347\) 8.72910 + 4.29181i 0.468603 + 0.230396i 0.660219 0.751074i \(-0.270464\pi\)
−0.191616 + 0.981470i \(0.561373\pi\)
\(348\) −4.16749 + 1.48696i −0.223401 + 0.0797093i
\(349\) 15.9595 + 20.6967i 0.854293 + 1.10787i 0.993068 + 0.117543i \(0.0375019\pi\)
−0.138774 + 0.990324i \(0.544316\pi\)
\(350\) 1.68819 2.79956i 0.0902378 0.149643i
\(351\) 3.99020 + 4.60493i 0.212981 + 0.245793i
\(352\) −4.75986 18.8488i −0.253702 1.00464i
\(353\) −8.73749 + 10.0836i −0.465050 + 0.536696i −0.939028 0.343840i \(-0.888272\pi\)
0.473978 + 0.880537i \(0.342818\pi\)
\(354\) 0.133221 + 0.410013i 0.00708064 + 0.0217920i
\(355\) −12.9894 4.63462i −0.689408 0.245980i
\(356\) −15.7125 16.1678i −0.832760 0.856890i
\(357\) −6.11298 5.61044i −0.323533 0.296936i
\(358\) −0.404005 + 0.590839i −0.0213523 + 0.0312268i
\(359\) 3.04862 + 0.708927i 0.160900 + 0.0374157i 0.306173 0.951976i \(-0.400951\pi\)
−0.145273 + 0.989392i \(0.546406\pi\)
\(360\) 6.11571 + 4.44332i 0.322326 + 0.234184i
\(361\) −15.6960 1.80095i −0.826105 0.0947867i
\(362\) −9.20520 −0.483814
\(363\) 1.81886 2.88825i 0.0954652 0.151594i
\(364\) 20.3012 1.06407
\(365\) 0.388139 + 0.0445347i 0.0203161 + 0.00233106i
\(366\) 2.45013 + 1.78013i 0.128071 + 0.0930487i
\(367\) 34.2326 + 7.96045i 1.78693 + 0.415532i 0.983653 0.180076i \(-0.0576345\pi\)
0.803275 + 0.595608i \(0.203089\pi\)
\(368\) −3.26010 + 4.76774i −0.169944 + 0.248535i
\(369\) 5.97987 + 5.48827i 0.311300 + 0.285708i
\(370\) 0.414292 + 0.426297i 0.0215380 + 0.0221621i
\(371\) −17.1830 6.13087i −0.892095 0.318299i
\(372\) −0.388171 1.19467i −0.0201257 0.0619406i
\(373\) 14.9985 17.3092i 0.776594 0.896238i −0.220264 0.975440i \(-0.570692\pi\)
0.996859 + 0.0792027i \(0.0252374\pi\)
\(374\) 15.4551 + 2.82899i 0.799165 + 0.146284i
\(375\) −0.203200 0.234505i −0.0104932 0.0121098i
\(376\) 1.53590 2.54701i 0.0792081 0.131352i
\(377\) 20.3852 + 26.4360i 1.04989 + 1.36152i
\(378\) −5.64050 + 2.01253i −0.290116 + 0.103513i
\(379\) 10.5536 + 5.18887i 0.542103 + 0.266534i 0.691665 0.722218i \(-0.256877\pi\)
−0.149562 + 0.988752i \(0.547786\pi\)
\(380\) 1.96792 1.60916i 0.100952 0.0825481i
\(381\) 0.848985 + 4.18991i 0.0434948 + 0.214655i
\(382\) 7.65106 + 0.437504i 0.391462 + 0.0223846i
\(383\) 19.5265 17.9212i 0.997756 0.915732i 0.00131247 0.999999i \(-0.499582\pi\)
0.996443 + 0.0842673i \(0.0268550\pi\)
\(384\) −0.425602 2.96013i −0.0217189 0.151058i
\(385\) 11.9104 + 7.81832i 0.607011 + 0.398459i
\(386\) −0.242693 + 1.68796i −0.0123527 + 0.0859151i
\(387\) 4.87801 + 7.13386i 0.247963 + 0.362635i
\(388\) 3.65332 + 9.38348i 0.185469 + 0.476374i
\(389\) 4.21813 5.47016i 0.213867 0.277348i −0.672732 0.739886i \(-0.734879\pi\)
0.886599 + 0.462538i \(0.153061\pi\)
\(390\) −0.242720 + 0.747016i −0.0122906 + 0.0378266i
\(391\) −21.5784 35.7837i −1.09127 1.80966i
\(392\) −10.8177 + 27.7850i −0.546375 + 1.40335i
\(393\) 2.60637 0.606085i 0.131474 0.0305729i
\(394\) 18.7871 + 7.93949i 0.946479 + 0.399986i
\(395\) −8.92478 5.73561i −0.449054 0.288590i
\(396\) −8.46022 + 10.7545i −0.425142 + 0.540432i
\(397\) 2.70002 1.73520i 0.135510 0.0870871i −0.471129 0.882064i \(-0.656154\pi\)
0.606640 + 0.794977i \(0.292517\pi\)
\(398\) 12.9520 2.24144i 0.649227 0.112353i
\(399\) 0.204080 + 2.37606i 0.0102168 + 0.118952i
\(400\) 0.0736293 0.857251i 0.00368147 0.0428625i
\(401\) −6.03990 1.04525i −0.301618 0.0521971i 0.0177040 0.999843i \(-0.494364\pi\)
−0.319322 + 0.947646i \(0.603455\pi\)
\(402\) 0.273537 0.115598i 0.0136428 0.00576550i
\(403\) −7.66702 + 5.57042i −0.381922 + 0.277482i
\(404\) −11.6285 + 6.56692i −0.578540 + 0.326716i
\(405\) −0.232524 8.13940i −0.0115542 0.404450i
\(406\) −31.4818 + 9.24389i −1.56241 + 0.458766i
\(407\) −1.92549 + 1.73316i −0.0954432 + 0.0859094i
\(408\) 4.82481 + 1.41669i 0.238864 + 0.0701367i
\(409\) 4.91135 18.6847i 0.242851 0.923900i −0.728266 0.685295i \(-0.759673\pi\)
0.971117 0.238606i \(-0.0766903\pi\)
\(410\) −0.422459 + 2.08492i −0.0208638 + 0.102967i
\(411\) 0.540875 + 1.02507i 0.0266794 + 0.0505631i
\(412\) 0.0851464 2.98051i 0.00419486 0.146839i
\(413\) −1.99368 7.58473i −0.0981024 0.373220i
\(414\) −14.8100 + 0.846867i −0.727872 + 0.0416212i
\(415\) 11.4970 11.8302i 0.564367 0.580720i
\(416\) −17.4961 + 8.60225i −0.857816 + 0.421760i
\(417\) 0.286545 0.627446i 0.0140322 0.0307262i
\(418\) −2.72288 3.60269i −0.133180 0.176213i
\(419\) −12.8744 28.1910i −0.628956 1.37722i −0.908823 0.417182i \(-0.863018\pi\)
0.279867 0.960039i \(-0.409710\pi\)
\(420\) 1.46613 + 1.19885i 0.0715396 + 0.0584976i
\(421\) 11.5793 21.9453i 0.564342 1.06955i −0.422271 0.906470i \(-0.638767\pi\)
0.986613 0.163078i \(-0.0521421\pi\)
\(422\) 7.55636 + 4.26727i 0.367838 + 0.207728i
\(423\) −3.29578 + 0.378156i −0.160246 + 0.0183866i
\(424\) 10.9845 1.26035i 0.533453 0.0612080i
\(425\) 5.42026 + 3.06096i 0.262921 + 0.148478i
\(426\) −1.51984 + 2.88041i −0.0736364 + 0.139556i
\(427\) −42.6489 34.8739i −2.06393 1.68766i
\(428\) −8.31428 18.2057i −0.401886 0.880007i
\(429\) −3.21271 1.18148i −0.155111 0.0570424i
\(430\) −0.940924 + 2.06034i −0.0453754 + 0.0993582i
\(431\) 0.994643 0.489033i 0.0479103 0.0235559i −0.417109 0.908857i \(-0.636957\pi\)
0.465019 + 0.885301i \(0.346047\pi\)
\(432\) −1.09850 + 1.13033i −0.0528514 + 0.0543828i
\(433\) −1.60550 + 0.0918057i −0.0771553 + 0.00441190i −0.0956238 0.995418i \(-0.530485\pi\)
0.0184685 + 0.999829i \(0.494121\pi\)
\(434\) −2.36793 9.00855i −0.113664 0.432424i
\(435\) −0.0889308 + 3.11298i −0.00426391 + 0.149256i
\(436\) 11.4261 + 21.6549i 0.547211 + 1.03708i
\(437\) −2.38511 + 11.7710i −0.114096 + 0.563084i
\(438\) 0.0234538 0.0892273i 0.00112066 0.00426345i
\(439\) −27.2155 7.99120i −1.29893 0.381399i −0.442082 0.896975i \(-0.645760\pi\)
−0.856844 + 0.515576i \(0.827578\pi\)
\(440\) −8.56817 1.06725i −0.408472 0.0508792i
\(441\) 31.9094 9.36945i 1.51950 0.446164i
\(442\) −0.449962 15.7507i −0.0214025 0.749185i
\(443\) 9.21229 5.20242i 0.437689 0.247174i −0.257104 0.966384i \(-0.582768\pi\)
0.694794 + 0.719209i \(0.255496\pi\)
\(444\) −0.278601 + 0.202416i −0.0132218 + 0.00960622i
\(445\) −14.6160 + 6.17676i −0.692863 + 0.292806i
\(446\) −3.04849 0.527563i −0.144350 0.0249808i
\(447\) −0.525969 + 6.12375i −0.0248775 + 0.289643i
\(448\) −1.00724 11.7271i −0.0475876 0.554053i
\(449\) 11.6568 2.01730i 0.550121 0.0952021i 0.111317 0.993785i \(-0.464493\pi\)
0.438804 + 0.898583i \(0.355402\pi\)
\(450\) 1.85902 1.19472i 0.0876352 0.0563198i
\(451\) −9.00915 2.18714i −0.424224 0.102988i
\(452\) 21.9304 + 14.0938i 1.03152 + 0.662918i
\(453\) 0.723610 + 0.305800i 0.0339982 + 0.0143677i
\(454\) 18.7989 4.37149i 0.882274 0.205164i
\(455\) 5.18389 13.3147i 0.243025 0.624204i
\(456\) −0.746344 1.23767i −0.0349508 0.0579593i
\(457\) −4.01846 + 12.3676i −0.187976 + 0.578530i −0.999987 0.00511207i \(-0.998373\pi\)
0.812011 + 0.583642i \(0.198373\pi\)
\(458\) 0.363010 0.470760i 0.0169624 0.0219972i
\(459\) −4.13719 10.6263i −0.193108 0.495993i
\(460\) 5.38354 + 7.87317i 0.251009 + 0.367089i
\(461\) 3.50113 24.3509i 0.163064 1.13413i −0.729752 0.683712i \(-0.760364\pi\)
0.892816 0.450422i \(-0.148726\pi\)
\(462\) 2.22774 2.52121i 0.103644 0.117297i
\(463\) −2.49613 17.3610i −0.116005 0.806832i −0.961884 0.273458i \(-0.911833\pi\)
0.845879 0.533375i \(-0.179076\pi\)
\(464\) −6.36206 + 5.83905i −0.295351 + 0.271071i
\(465\) −0.882654 0.0504720i −0.0409321 0.00234058i
\(466\) 2.98982 + 14.7554i 0.138501 + 0.683529i
\(467\) 0.809534 0.661953i 0.0374608 0.0306315i −0.614097 0.789231i \(-0.710480\pi\)
0.651558 + 0.758599i \(0.274116\pi\)
\(468\) 12.3148 + 6.05476i 0.569250 + 0.279881i
\(469\) −5.08784 + 1.81534i −0.234935 + 0.0838246i
\(470\) −0.530932 0.688525i −0.0244901 0.0317593i
\(471\) 0.615657 1.02095i 0.0283680 0.0470430i
\(472\) 3.11241 + 3.59191i 0.143260 + 0.165331i
\(473\) −8.81571 4.44089i −0.405347 0.204192i
\(474\) −1.64058 + 1.89333i −0.0753545 + 0.0869637i
\(475\) −0.552875 1.70158i −0.0253677 0.0780736i
\(476\) −35.7836 12.7676i −1.64014 0.585200i
\(477\) −8.59473 8.84377i −0.393526 0.404928i
\(478\) 10.0354 + 9.21038i 0.459007 + 0.421273i
\(479\) 5.16020 7.54655i 0.235776 0.344811i −0.689379 0.724401i \(-0.742117\pi\)
0.925155 + 0.379590i \(0.123935\pi\)
\(480\) −1.77154 0.411953i −0.0808592 0.0188030i
\(481\) 2.10190 + 1.52712i 0.0958383 + 0.0696306i
\(482\) 5.50234 + 0.631335i 0.250625 + 0.0287565i
\(483\) −8.94778 −0.407138
\(484\) 2.52337 15.4241i 0.114699 0.701093i
\(485\) 7.08712 0.321810
\(486\) −6.06547 0.695947i −0.275135 0.0315688i
\(487\) 20.2839 + 14.7371i 0.919153 + 0.667804i 0.943313 0.331905i \(-0.107691\pi\)
−0.0241602 + 0.999708i \(0.507691\pi\)
\(488\) 32.5202 + 7.56224i 1.47212 + 0.342326i
\(489\) 3.43635 5.02551i 0.155397 0.227261i
\(490\) 6.42157 + 5.89367i 0.290097 + 0.266249i
\(491\) −18.4751 19.0105i −0.833771 0.857930i 0.157803 0.987471i \(-0.449559\pi\)
−0.991574 + 0.129540i \(0.958650\pi\)
\(492\) −1.16069 0.414135i −0.0523281 0.0186706i
\(493\) −19.3059 59.4175i −0.869494 2.67603i
\(494\) −2.96580 + 3.42272i −0.133438 + 0.153996i
\(495\) 4.89311 + 8.29487i 0.219929 + 0.372826i
\(496\) −1.60538 1.85270i −0.0720836 0.0831889i
\(497\) 30.5935 50.7337i 1.37231 2.27572i
\(498\) −2.37882 3.08491i −0.106597 0.138238i
\(499\) −17.9901 + 6.41885i −0.805347 + 0.287347i −0.706461 0.707752i \(-0.749710\pi\)
−0.0988854 + 0.995099i \(0.531528\pi\)
\(500\) −1.27505 0.626899i −0.0570219 0.0280358i
\(501\) 0.365161 0.298591i 0.0163142 0.0133401i
\(502\) −4.04785 19.9769i −0.180665 0.891615i
\(503\) 6.96236 + 0.398122i 0.310436 + 0.0177514i 0.211613 0.977354i \(-0.432128\pi\)
0.0988236 + 0.995105i \(0.468492\pi\)
\(504\) −23.9243 + 21.9575i −1.06567 + 0.978065i
\(505\) 1.33765 + 9.30353i 0.0595245 + 0.414002i
\(506\) 14.3419 9.02198i 0.637575 0.401076i
\(507\) 0.0855183 0.594793i 0.00379800 0.0264157i
\(508\) 11.0491 + 16.1589i 0.490226 + 0.716933i
\(509\) −7.68981 19.7511i −0.340845 0.875452i −0.993080 0.117436i \(-0.962532\pi\)
0.652236 0.758016i \(-0.273831\pi\)
\(510\) 0.897632 1.16407i 0.0397478 0.0515459i
\(511\) −0.518613 + 1.59613i −0.0229421 + 0.0706085i
\(512\) −4.91776 8.15519i −0.217336 0.360412i
\(513\) −1.18911 + 3.05420i −0.0525005 + 0.134846i
\(514\) −3.50989 + 0.816189i −0.154814 + 0.0360006i
\(515\) −1.93306 0.816917i −0.0851807 0.0359976i
\(516\) −1.10385 0.709404i −0.0485944 0.0312298i
\(517\) 3.08690 2.19742i 0.135762 0.0966422i
\(518\) −2.14820 + 1.38056i −0.0943864 + 0.0606584i
\(519\) −4.63808 + 0.802651i −0.203589 + 0.0352325i
\(520\) 0.741015 + 8.62748i 0.0324956 + 0.378340i
\(521\) −2.47662 + 28.8348i −0.108503 + 1.26327i 0.716276 + 0.697817i \(0.245845\pi\)
−0.824778 + 0.565456i \(0.808700\pi\)
\(522\) −21.8539 3.78197i −0.956520 0.165532i
\(523\) −18.5301 + 7.83088i −0.810265 + 0.342421i −0.754730 0.656036i \(-0.772232\pi\)
−0.0555350 + 0.998457i \(0.517686\pi\)
\(524\) 9.91279 7.20206i 0.433042 0.314623i
\(525\) 1.16065 0.655449i 0.0506549 0.0286061i
\(526\) −0.0342297 1.19819i −0.00149248 0.0522438i
\(527\) 17.0175 4.99678i 0.741292 0.217663i
\(528\) 0.233384 0.854163i 0.0101567 0.0371727i
\(529\) −21.1685 6.21563i −0.920369 0.270245i
\(530\) 0.821665 3.12594i 0.0356909 0.135782i
\(531\) 1.05275 5.19553i 0.0456855 0.225467i
\(532\) 5.09599 + 9.65797i 0.220939 + 0.418726i
\(533\) −0.265501 + 9.29373i −0.0115001 + 0.402556i
\(534\) 0.952566 + 3.62394i 0.0412216 + 0.156823i
\(535\) −14.0635 + 0.804178i −0.608016 + 0.0347676i
\(536\) 2.28165 2.34776i 0.0985523 0.101408i
\(537\) −0.261892 + 0.128764i −0.0113015 + 0.00555657i
\(538\) 3.37069 7.38078i 0.145321 0.318208i
\(539\) −26.7361 + 26.9831i −1.15160 + 1.16224i
\(540\) 1.08124 + 2.36760i 0.0465294 + 0.101885i
\(541\) 9.07760 + 7.42271i 0.390276 + 0.319127i 0.807710 0.589580i \(-0.200707\pi\)
−0.417434 + 0.908707i \(0.637070\pi\)
\(542\) −4.96690 + 9.41332i −0.213347 + 0.404337i
\(543\) −3.26810 1.84558i −0.140248 0.0792015i
\(544\) 36.2493 4.15922i 1.55418 0.178325i
\(545\) 17.1202 1.96436i 0.733350 0.0841441i
\(546\) −2.93799 1.65916i −0.125734 0.0710053i
\(547\) −5.26903 + 9.98592i −0.225287 + 0.426967i −0.970925 0.239385i \(-0.923054\pi\)
0.745637 + 0.666352i \(0.232145\pi\)
\(548\) 4.10844 + 3.35945i 0.175504 + 0.143509i
\(549\) −15.4700 33.8745i −0.660243 1.44573i
\(550\) −1.19946 + 2.22086i −0.0511450 + 0.0946976i
\(551\) −7.45944 + 16.3339i −0.317783 + 0.695847i
\(552\) 4.86633 2.39261i 0.207125 0.101836i
\(553\) 31.7614 32.6817i 1.35063 1.38977i
\(554\) −11.4585 + 0.655221i −0.486825 + 0.0278377i
\(555\) 0.0616156 + 0.234410i 0.00261544 + 0.00995015i
\(556\) 0.0901935 3.15718i 0.00382506 0.133894i
\(557\) 16.2817 + 30.8573i 0.689878 + 1.30746i 0.940637 + 0.339415i \(0.110229\pi\)
−0.250759 + 0.968050i \(0.580680\pi\)
\(558\) 1.25038 6.17085i 0.0529327 0.261233i
\(559\) −2.51663 + 9.57427i −0.106442 + 0.404948i
\(560\) 3.54634 + 1.04130i 0.149860 + 0.0440029i
\(561\) 4.91981 + 4.10302i 0.207714 + 0.173230i
\(562\) 5.37228 1.57744i 0.226616 0.0665404i
\(563\) 0.537502 + 18.8150i 0.0226530 + 0.792959i 0.928926 + 0.370266i \(0.120733\pi\)
−0.906273 + 0.422693i \(0.861085\pi\)
\(564\) 0.438583 0.247679i 0.0184677 0.0104292i
\(565\) 14.8435 10.7844i 0.624470 0.453704i
\(566\) 18.0575 7.63117i 0.759014 0.320762i
\(567\) 34.4664 + 5.96465i 1.44745 + 0.250492i
\(568\) −3.07251 + 35.7726i −0.128920 + 1.50098i
\(569\) −3.84181 44.7294i −0.161057 1.87515i −0.417614 0.908625i \(-0.637134\pi\)
0.256557 0.966529i \(-0.417412\pi\)
\(570\) −0.416309 + 0.0720451i −0.0174373 + 0.00301764i
\(571\) 21.2259 13.6410i 0.888275 0.570860i −0.0150165 0.999887i \(-0.504780\pi\)
0.903291 + 0.429028i \(0.141144\pi\)
\(572\) −15.6565 + 0.743269i −0.654630 + 0.0310777i
\(573\) 2.62862 + 1.68931i 0.109812 + 0.0705721i
\(574\) −8.41742 3.55723i −0.351336 0.148476i
\(575\) 6.53838 1.52044i 0.272669 0.0634065i
\(576\) 2.88657 7.41410i 0.120274 0.308921i
\(577\) 12.0962 + 20.0593i 0.503572 + 0.835080i 0.999445 0.0333150i \(-0.0106065\pi\)
−0.495873 + 0.868395i \(0.665152\pi\)
\(578\) −5.11470 + 15.7414i −0.212743 + 0.654757i
\(579\) −0.424588 + 0.550616i −0.0176453 + 0.0228828i
\(580\) 5.17365 + 13.2884i 0.214824 + 0.551771i
\(581\) 39.9988 + 58.4963i 1.65943 + 2.42684i
\(582\) 0.238176 1.65655i 0.00987273 0.0686664i
\(583\) 13.4761 + 4.09908i 0.558125 + 0.169767i
\(584\) −0.144748 1.00674i −0.00598971 0.0416593i
\(585\) 7.11564 6.53068i 0.294196 0.270010i
\(586\) 5.05676 + 0.289156i 0.208893 + 0.0119449i
\(587\) 6.16497 + 30.4253i 0.254456 + 1.25579i 0.879764 + 0.475410i \(0.157700\pi\)
−0.625309 + 0.780377i \(0.715027\pi\)
\(588\) −3.90894 + 3.19633i −0.161202 + 0.131814i
\(589\) −4.57461 2.24919i −0.188494 0.0926761i
\(590\) 1.30857 0.466896i 0.0538729 0.0192218i
\(591\) 5.07812 + 6.58543i 0.208886 + 0.270888i
\(592\) −0.347054 + 0.575524i −0.0142638 + 0.0236539i
\(593\) −13.1613 15.1890i −0.540471 0.623737i 0.418165 0.908371i \(-0.362673\pi\)
−0.958636 + 0.284634i \(0.908128\pi\)
\(594\) 4.27633 1.75859i 0.175460 0.0721560i
\(595\) −17.5110 + 20.2088i −0.717883 + 0.828481i
\(596\) 8.69686 + 26.7662i 0.356237 + 1.09639i
\(597\) 5.04773 + 1.80103i 0.206590 + 0.0737111i
\(598\) −11.8426 12.1858i −0.484282 0.498314i
\(599\) −1.08998 1.00037i −0.0445353 0.0408741i 0.653598 0.756842i \(-0.273259\pi\)
−0.698134 + 0.715968i \(0.745986\pi\)
\(600\) −0.455964 + 0.666826i −0.0186146 + 0.0272230i
\(601\) −7.08643 1.64788i −0.289062 0.0672184i 0.0794585 0.996838i \(-0.474681\pi\)
−0.368520 + 0.929620i \(0.620135\pi\)
\(602\) −7.87162 5.71907i −0.320823 0.233092i
\(603\) −3.62773 0.416243i −0.147732 0.0169507i
\(604\) 3.59710 0.146364
\(605\) −9.47168 5.59351i −0.385078 0.227408i
\(606\) 2.21957 0.0901640
\(607\) −2.30857 0.264883i −0.0937019 0.0107513i 0.0670137 0.997752i \(-0.478653\pi\)
−0.160716 + 0.987001i \(0.551380\pi\)
\(608\) −8.48425 6.16417i −0.344082 0.249990i
\(609\) −13.0303 3.03006i −0.528012 0.122784i
\(610\) 5.50906 8.05674i 0.223055 0.326208i
\(611\) −2.79965 2.56950i −0.113262 0.103951i
\(612\) −17.8986 18.4172i −0.723507 0.744471i
\(613\) −0.397856 0.141955i −0.0160692 0.00573350i 0.328003 0.944677i \(-0.393625\pi\)
−0.344072 + 0.938943i \(0.611806\pi\)
\(614\) −4.86600 14.9760i −0.196376 0.604383i
\(615\) −0.567997 + 0.655504i −0.0229039 + 0.0264325i
\(616\) 11.8027 35.1628i 0.475543 1.41675i
\(617\) −10.3574 11.9531i −0.416973 0.481212i 0.507940 0.861393i \(-0.330407\pi\)
−0.924912 + 0.380180i \(0.875862\pi\)
\(618\) −0.255911 + 0.424381i −0.0102943 + 0.0170711i
\(619\) −4.69730 6.09157i −0.188801 0.244841i 0.687982 0.725727i \(-0.258497\pi\)
−0.876783 + 0.480887i \(0.840315\pi\)
\(620\) −3.81281 + 1.36041i −0.153126 + 0.0546353i
\(621\) −11.0355 5.42579i −0.442839 0.217729i
\(622\) 16.9115 13.8284i 0.678088 0.554470i
\(623\) −13.5364 66.8047i −0.542324 2.67647i
\(624\) −0.886574 0.0506961i −0.0354913 0.00202947i
\(625\) −0.736741 + 0.676175i −0.0294696 + 0.0270470i
\(626\) −3.14930 21.9039i −0.125871 0.875455i
\(627\) −0.244382 1.82497i −0.00975967 0.0728825i
\(628\) 0.776911 5.40353i 0.0310021 0.215624i
\(629\) −2.74447 4.01365i −0.109429 0.160035i
\(630\) 3.44405 + 8.84597i 0.137214 + 0.352432i
\(631\) 4.98152 6.46015i 0.198311 0.257174i −0.682237 0.731131i \(-0.738993\pi\)
0.880548 + 0.473957i \(0.157175\pi\)
\(632\) −8.53469 + 26.2671i −0.339492 + 1.04485i
\(633\) 1.82716 + 3.03000i 0.0726230 + 0.120432i
\(634\) 0.150310 0.386067i 0.00596956 0.0153327i
\(635\) 13.4193 3.12053i 0.532530 0.123835i
\(636\) 1.72472 + 0.728872i 0.0683896 + 0.0289017i
\(637\) 32.0475 + 20.5957i 1.26977 + 0.816031i
\(638\) 23.9406 8.28160i 0.947819 0.327872i
\(639\) 33.6893 21.6508i 1.33273 0.856493i
\(640\) −9.49666 + 1.64346i −0.375389 + 0.0649636i
\(641\) −0.118013 1.37400i −0.00466124 0.0542699i 0.993632 0.112678i \(-0.0359429\pi\)
−0.998293 + 0.0584083i \(0.981397\pi\)
\(642\) −0.284660 + 3.31424i −0.0112346 + 0.130803i
\(643\) −28.7894 4.98220i −1.13534 0.196479i −0.428291 0.903641i \(-0.640884\pi\)
−0.707052 + 0.707162i \(0.749975\pi\)
\(644\) −37.7398 + 15.9490i −1.48716 + 0.628478i
\(645\) −0.747138 + 0.542827i −0.0294185 + 0.0213738i
\(646\) 7.38021 4.16780i 0.290371 0.163980i
\(647\) 0.332296 + 11.6319i 0.0130639 + 0.457296i 0.979622 + 0.200849i \(0.0643700\pi\)
−0.966558 + 0.256447i \(0.917448\pi\)
\(648\) −20.3398 + 5.97230i −0.799023 + 0.234614i
\(649\) 1.81524 + 5.77643i 0.0712543 + 0.226745i
\(650\) 2.42879 + 0.713158i 0.0952651 + 0.0279724i
\(651\) 0.965474 3.67304i 0.0378399 0.143958i
\(652\) 5.53608 27.3216i 0.216810 1.07000i
\(653\) −1.96301 3.72032i −0.0768186 0.145587i 0.843023 0.537878i \(-0.180774\pi\)
−0.919841 + 0.392290i \(0.871683\pi\)
\(654\) 0.116205 4.06772i 0.00454399 0.159060i
\(655\) −2.19232 8.34044i −0.0856609 0.325888i
\(656\) −2.40114 + 0.137302i −0.0937488 + 0.00536075i
\(657\) −0.790633 + 0.813542i −0.0308455 + 0.0317393i
\(658\) 3.35172 1.64793i 0.130664 0.0642430i
\(659\) 6.59813 14.4479i 0.257026 0.562810i −0.736496 0.676441i \(-0.763521\pi\)
0.993523 + 0.113632i \(0.0362485\pi\)
\(660\) −1.17458 0.870884i −0.0457206 0.0338991i
\(661\) −7.20214 15.7705i −0.280131 0.613401i 0.716302 0.697790i \(-0.245833\pi\)
−0.996433 + 0.0843895i \(0.973106\pi\)
\(662\) −5.62349 4.59831i −0.218563 0.178718i
\(663\) 2.99817 5.68216i 0.116439 0.220677i
\(664\) −37.3954 21.1182i −1.45122 0.819544i
\(665\) 7.63553 0.876096i 0.296093 0.0339735i
\(666\) −1.71485 + 0.196761i −0.0664492 + 0.00762434i
\(667\) −58.6647 33.1295i −2.27151 1.28278i
\(668\) 1.00795 1.91027i 0.0389987 0.0739108i
\(669\) −0.976528 0.798503i −0.0377547 0.0308719i
\(670\) −0.397563 0.870542i −0.0153592 0.0336320i
\(671\) 34.1681 + 25.3336i 1.31905 + 0.977994i
\(672\) 3.24566 7.10699i 0.125204 0.274158i
\(673\) −39.2175 + 19.2820i −1.51172 + 0.743265i −0.993697 0.112099i \(-0.964243\pi\)
−0.518027 + 0.855364i \(0.673333\pi\)
\(674\) −1.38265 + 1.42271i −0.0532576 + 0.0548007i
\(675\) 1.82891 0.104581i 0.0703946 0.00402531i
\(676\) −0.699491 2.66114i −0.0269035 0.102352i
\(677\) −0.831128 + 29.0933i −0.0319428 + 1.11815i 0.812655 + 0.582745i \(0.198021\pi\)
−0.844598 + 0.535401i \(0.820161\pi\)
\(678\) −2.02192 3.83197i −0.0776515 0.147166i
\(679\) −6.04593 + 29.8378i −0.232021 + 1.14507i
\(680\) 4.11975 15.6731i 0.157985 0.601038i
\(681\) 7.55057 + 2.21705i 0.289339 + 0.0849575i
\(682\) 2.15600 + 6.86080i 0.0825574 + 0.262714i
\(683\) −32.8889 + 9.65706i −1.25846 + 0.369517i −0.841921 0.539601i \(-0.818575\pi\)
−0.416539 + 0.909118i \(0.636757\pi\)
\(684\) 0.210785 + 7.37842i 0.00805955 + 0.282121i
\(685\) 3.25242 1.83672i 0.124268 0.0701776i
\(686\) −11.7776 + 8.55694i −0.449671 + 0.326705i
\(687\) 0.223263 0.0943518i 0.00851802 0.00359974i
\(688\) −2.52327 0.436670i −0.0961989 0.0166479i
\(689\) 1.20886 14.0745i 0.0460539 0.536196i
\(690\) −0.135654 1.57939i −0.00516425 0.0601262i
\(691\) 38.9474 6.74011i 1.48163 0.256406i 0.628379 0.777907i \(-0.283719\pi\)
0.853250 + 0.521501i \(0.174628\pi\)
\(692\) −18.1317 + 11.6526i −0.689265 + 0.442964i
\(693\) −39.0968 + 13.5245i −1.48517 + 0.513752i
\(694\) −6.22752 4.00218i −0.236393 0.151921i
\(695\) −2.04764 0.865340i −0.0776714 0.0328242i
\(696\) 7.89684 1.83633i 0.299329 0.0696060i
\(697\) 6.31288 16.2145i 0.239117 0.614168i
\(698\) −10.2711 17.0327i −0.388767 0.644697i
\(699\) −1.89688 + 5.83800i −0.0717467 + 0.220814i
\(700\) 3.72706 4.83334i 0.140870 0.182683i
\(701\) 7.09057 + 18.2120i 0.267807 + 0.687857i 0.999977 + 0.00673520i \(0.00214390\pi\)
−0.732170 + 0.681122i \(0.761492\pi\)
\(702\) −2.61740 3.82782i −0.0987872 0.144472i
\(703\) −0.198886 + 1.38328i −0.00750112 + 0.0521715i
\(704\) 1.20615 + 9.00717i 0.0454584 + 0.339471i
\(705\) −0.0504509 0.350894i −0.00190009 0.0132154i
\(706\) 7.48095 6.86595i 0.281549 0.258404i
\(707\) −40.3104 2.30503i −1.51603 0.0866895i
\(708\) 0.159841 + 0.788846i 0.00600719 + 0.0296466i
\(709\) 3.49371 2.85679i 0.131209 0.107289i −0.565131 0.825001i \(-0.691174\pi\)
0.696340 + 0.717712i \(0.254811\pi\)
\(710\) 9.41890 + 4.63096i 0.353485 + 0.173797i
\(711\) 29.0138 10.3521i 1.08810 0.388234i
\(712\) 25.2253 + 32.7127i 0.945356 + 1.22596i
\(713\) 9.87676 16.3788i 0.369887 0.613390i
\(714\) 4.13515 + 4.77221i 0.154754 + 0.178596i
\(715\) −3.51039 + 10.4582i −0.131281 + 0.391116i
\(716\) −0.875091 + 1.00991i −0.0327037 + 0.0377421i
\(717\) 1.71622 + 5.28197i 0.0640933 + 0.197259i
\(718\) −2.24348 0.800473i −0.0837260 0.0298734i
\(719\) 12.9185 + 13.2929i 0.481781 + 0.495740i 0.913823 0.406113i \(-0.133116\pi\)
−0.432042 + 0.901853i \(0.642207\pi\)
\(720\) 1.84066 + 1.68934i 0.0685973 + 0.0629580i
\(721\) 5.08840 7.44155i 0.189502 0.277138i
\(722\) 11.7111 + 2.72329i 0.435841 + 0.101351i
\(723\) 1.82691 + 1.32733i 0.0679434 + 0.0493638i
\(724\) −17.0738 1.95904i −0.634543 0.0728071i
\(725\) 10.0364 0.372744
\(726\) −1.62575 + 2.02594i −0.0603372 + 0.0751898i
\(727\) 12.3584 0.458349 0.229175 0.973385i \(-0.426397\pi\)
0.229175 + 0.973385i \(0.426397\pi\)
\(728\) −36.9551 4.24020i −1.36965 0.157152i
\(729\) 17.7489 + 12.8954i 0.657368 + 0.477606i
\(730\) −0.289598 0.0673430i −0.0107185 0.00249248i
\(731\) 10.4572 15.2932i 0.386775 0.565641i
\(732\) 4.16567 + 3.82321i 0.153967 + 0.141310i
\(733\) 22.9556 + 23.6207i 0.847884 + 0.872452i 0.993139 0.116942i \(-0.0373092\pi\)
−0.145255 + 0.989394i \(0.546400\pi\)
\(734\) −25.1918 8.98841i −0.929845 0.331768i
\(735\) 1.09820 + 3.37990i 0.0405076 + 0.124669i
\(736\) 25.7671 29.7368i 0.949789 1.09611i
\(737\) 3.85734 1.58629i 0.142087 0.0584316i
\(738\) −4.04510 4.66830i −0.148902 0.171842i
\(739\) −13.0921 + 21.7109i −0.481602 + 0.798647i −0.998346 0.0574932i \(-0.981689\pi\)
0.516744 + 0.856140i \(0.327144\pi\)
\(740\) 0.677706 + 0.878865i 0.0249130 + 0.0323077i
\(741\) −1.73918 + 0.620537i −0.0638903 + 0.0227960i
\(742\) 12.4597 + 6.12603i 0.457410 + 0.224893i
\(743\) −0.636879 + 0.520774i −0.0233648 + 0.0191053i −0.644623 0.764501i \(-0.722986\pi\)
0.621258 + 0.783606i \(0.286622\pi\)
\(744\) 0.457080 + 2.25578i 0.0167574 + 0.0827009i
\(745\) 19.7756 + 1.13081i 0.724522 + 0.0414297i
\(746\) −12.8416 + 11.7859i −0.470164 + 0.431512i
\(747\) 6.81705 + 47.4136i 0.249423 + 1.73477i
\(748\) 28.0641 + 8.53636i 1.02613 + 0.312120i
\(749\) 8.61164 59.8953i 0.314662 2.18853i
\(750\) 0.133290 + 0.194931i 0.00486708 + 0.00711788i
\(751\) 4.10678 + 10.5482i 0.149859 + 0.384908i 0.986703 0.162532i \(-0.0519660\pi\)
−0.836845 + 0.547440i \(0.815602\pi\)
\(752\) 0.600259 0.778430i 0.0218892 0.0283864i
\(753\) 2.56815 7.90394i 0.0935885 0.288036i
\(754\) −13.1193 21.7560i −0.477778 0.792306i
\(755\) 0.918519 2.35920i 0.0334283 0.0858600i
\(756\) −10.8903 + 2.53244i −0.396077 + 0.0921038i
\(757\) 16.3383 + 6.90462i 0.593826 + 0.250953i 0.665406 0.746482i \(-0.268259\pi\)
−0.0715799 + 0.997435i \(0.522804\pi\)
\(758\) −7.52917 4.83870i −0.273472 0.175750i
\(759\) 6.90062 0.327598i 0.250477 0.0118910i
\(760\) −3.91838 + 2.51819i −0.142135 + 0.0913444i
\(761\) −28.4073 + 4.91607i −1.02976 + 0.178208i −0.660272 0.751027i \(-0.729559\pi\)
−0.369491 + 0.929234i \(0.620468\pi\)
\(762\) −0.278415 3.24153i −0.0100859 0.117428i
\(763\) −6.33477 + 73.7544i −0.229334 + 2.67009i
\(764\) 14.0981 + 2.43977i 0.510051 + 0.0882678i
\(765\) −16.6495 + 7.03613i −0.601964 + 0.254392i
\(766\) −16.3181 + 11.8558i −0.589598 + 0.428368i
\(767\) 5.28749 2.98598i 0.190920 0.107818i
\(768\) 0.113549 + 3.97472i 0.00409733 + 0.143425i
\(769\) 35.8247 10.5191i 1.29187 0.379328i 0.437608 0.899166i \(-0.355826\pi\)
0.854265 + 0.519838i \(0.174008\pi\)
\(770\) −8.32689 6.94447i −0.300080 0.250261i
\(771\) −1.40975 0.413940i −0.0507709 0.0149077i
\(772\) −0.809377 + 3.07919i −0.0291301