Properties

Label 690.2.w.a.7.12
Level $690$
Weight $2$
Character 690.7
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 7.12
Character \(\chi\) \(=\) 690.7
Dual form 690.2.w.a.493.12

$q$-expansion

\(f(q)\) \(=\) \(q+(0.997452 - 0.0713392i) q^{2} +(-0.212565 + 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(1.68213 + 1.47324i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-0.663233 + 1.21462i) q^{7} +(0.977147 - 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +O(q^{10})\) \(q+(0.997452 - 0.0713392i) q^{2} +(-0.212565 + 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(1.68213 + 1.47324i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-0.663233 + 1.21462i) q^{7} +(0.977147 - 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +(1.78294 + 1.34949i) q^{10} +(3.43475 - 2.97623i) q^{11} +(-0.0713392 + 0.997452i) q^{12} +(-0.104837 + 0.0572451i) q^{13} +(-0.574893 + 1.25884i) q^{14} +(-1.79714 + 1.33053i) q^{15} +(0.959493 - 0.281733i) q^{16} +(1.93410 + 2.58366i) q^{17} +(-0.936950 - 0.349464i) q^{18} +(0.165605 + 1.15181i) q^{19} +(1.87467 + 1.21885i) q^{20} +(-1.04588 - 0.906262i) q^{21} +(3.21368 - 3.21368i) q^{22} +(-1.83219 + 4.43205i) q^{23} +1.00000i q^{24} +(0.659124 + 4.95637i) q^{25} +(-0.100486 + 0.0645782i) q^{26} +(0.599278 - 0.800541i) q^{27} +(-0.483624 + 1.29664i) q^{28} +(-2.45088 - 0.352383i) q^{29} +(-1.69764 + 1.45534i) q^{30} +(-5.49019 - 3.52833i) q^{31} +(0.936950 - 0.349464i) q^{32} +(2.17810 + 3.98890i) q^{33} +(2.11349 + 2.43910i) q^{34} +(-2.90507 + 1.06605i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(0.269191 + 0.721730i) q^{37} +(0.247352 + 1.13706i) q^{38} +(-0.0336523 - 0.114609i) q^{39} +(1.95685 + 1.08201i) q^{40} +(-1.09634 - 2.40066i) q^{41} +(-1.10787 - 0.829340i) q^{42} +(4.74127 + 1.03140i) q^{43} +(2.97623 - 3.43475i) q^{44} +(-0.918113 - 2.03889i) q^{45} +(-1.51134 + 4.55147i) q^{46} +(-3.35604 - 3.35604i) q^{47} +(0.0713392 + 0.997452i) q^{48} +(2.74906 + 4.27762i) q^{49} +(1.01103 + 4.89672i) q^{50} +(-2.93574 + 1.34071i) q^{51} +(-0.0956227 + 0.0715823i) q^{52} +(-4.35555 - 2.37831i) q^{53} +(0.540641 - 0.841254i) q^{54} +(10.1624 + 0.0538109i) q^{55} +(-0.389890 + 1.32784i) q^{56} +(-1.16069 - 0.0830141i) q^{57} +(-2.46977 - 0.176641i) q^{58} +(0.267799 - 0.912041i) q^{59} +(-1.58949 + 1.57274i) q^{60} +(6.89732 - 10.7324i) q^{61} +(-5.72791 - 3.12768i) q^{62} +(1.10787 - 0.829340i) q^{63} +(0.909632 - 0.415415i) q^{64} +(-0.260685 - 0.0581558i) q^{65} +(2.45712 + 3.82335i) q^{66} +(-1.03147 - 14.4218i) q^{67} +(2.28211 + 2.28211i) q^{68} +(-3.94130 - 2.73242i) q^{69} +(-2.82162 + 1.27058i) q^{70} +(5.17109 - 5.96775i) q^{71} +(-0.977147 - 0.212565i) q^{72} +(8.91923 + 6.67685i) q^{73} +(0.319993 + 0.700687i) q^{74} +(-4.98320 - 0.409491i) q^{75} +(0.327839 + 1.11652i) q^{76} +(1.33695 + 6.14585i) q^{77} +(-0.0417427 - 0.111916i) q^{78} +(-11.2840 - 3.31328i) q^{79} +(2.02905 + 0.939653i) q^{80} +(0.654861 + 0.755750i) q^{81} +(-1.26481 - 2.31633i) q^{82} +(1.37100 - 0.511355i) q^{83} +(-1.16421 - 0.748193i) q^{84} +(-0.552939 + 7.19545i) q^{85} +(4.80277 + 0.690534i) q^{86} +(0.865301 - 2.31996i) q^{87} +(2.72361 - 3.63832i) q^{88} +(-7.15307 + 4.59700i) q^{89} +(-1.06123 - 1.96820i) q^{90} -0.165304i q^{91} +(-1.18280 + 4.64769i) q^{92} +(4.61472 - 4.61472i) q^{93} +(-3.58691 - 3.10807i) q^{94} +(-1.41832 + 2.18147i) q^{95} +(0.142315 + 0.989821i) q^{96} +(13.1626 + 4.90938i) q^{97} +(3.04722 + 4.07061i) q^{98} +(-4.36073 + 1.28042i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{6} + O(q^{10}) \) \( 240q - 24q^{6} + 44q^{10} - 16q^{13} + 24q^{16} + 44q^{21} + 72q^{23} + 16q^{25} + 44q^{28} - 16q^{31} - 44q^{33} - 24q^{36} + 44q^{37} + 88q^{43} - 8q^{46} + 48q^{47} + 8q^{50} - 16q^{52} + 56q^{55} + 44q^{57} + 16q^{58} + 88q^{61} + 8q^{62} + 88q^{65} - 132q^{67} + 56q^{70} - 64q^{71} + 16q^{73} - 32q^{75} - 16q^{77} - 16q^{78} + 24q^{81} - 24q^{82} + 92q^{85} - 16q^{87} - 44q^{88} + 116q^{92} - 80q^{93} + 20q^{95} + 24q^{96} - 88q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{19}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.997452 0.0713392i 0.705305 0.0504444i
\(3\) −0.212565 + 0.977147i −0.122725 + 0.564156i
\(4\) 0.989821 0.142315i 0.494911 0.0711574i
\(5\) 1.68213 + 1.47324i 0.752271 + 0.658853i
\(6\) −0.142315 + 0.989821i −0.0580998 + 0.404093i
\(7\) −0.663233 + 1.21462i −0.250678 + 0.459083i −0.972470 0.233027i \(-0.925137\pi\)
0.721792 + 0.692110i \(0.243319\pi\)
\(8\) 0.977147 0.212565i 0.345474 0.0751532i
\(9\) −0.909632 0.415415i −0.303211 0.138472i
\(10\) 1.78294 + 1.34949i 0.563816 + 0.426745i
\(11\) 3.43475 2.97623i 1.03562 0.897366i 0.0408110 0.999167i \(-0.487006\pi\)
0.994805 + 0.101801i \(0.0324604\pi\)
\(12\) −0.0713392 + 0.997452i −0.0205938 + 0.287940i
\(13\) −0.104837 + 0.0572451i −0.0290765 + 0.0158769i −0.493721 0.869620i \(-0.664364\pi\)
0.464645 + 0.885497i \(0.346182\pi\)
\(14\) −0.574893 + 1.25884i −0.153647 + 0.336439i
\(15\) −1.79714 + 1.33053i −0.464018 + 0.343541i
\(16\) 0.959493 0.281733i 0.239873 0.0704331i
\(17\) 1.93410 + 2.58366i 0.469089 + 0.626630i 0.971226 0.238158i \(-0.0765437\pi\)
−0.502137 + 0.864788i \(0.667453\pi\)
\(18\) −0.936950 0.349464i −0.220841 0.0823695i
\(19\) 0.165605 + 1.15181i 0.0379924 + 0.264243i 0.999960 0.00891976i \(-0.00283929\pi\)
−0.961968 + 0.273163i \(0.911930\pi\)
\(20\) 1.87467 + 1.21885i 0.419190 + 0.272544i
\(21\) −1.04588 0.906262i −0.228230 0.197763i
\(22\) 3.21368 3.21368i 0.685158 0.685158i
\(23\) −1.83219 + 4.43205i −0.382038 + 0.924146i
\(24\) 1.00000i 0.204124i
\(25\) 0.659124 + 4.95637i 0.131825 + 0.991273i
\(26\) −0.100486 + 0.0645782i −0.0197069 + 0.0126648i
\(27\) 0.599278 0.800541i 0.115331 0.154064i
\(28\) −0.483624 + 1.29664i −0.0913963 + 0.245043i
\(29\) −2.45088 0.352383i −0.455116 0.0654358i −0.0890552 0.996027i \(-0.528385\pi\)
−0.366061 + 0.930591i \(0.619294\pi\)
\(30\) −1.69764 + 1.45534i −0.309945 + 0.265708i
\(31\) −5.49019 3.52833i −0.986067 0.633707i −0.0549739 0.998488i \(-0.517508\pi\)
−0.931093 + 0.364781i \(0.881144\pi\)
\(32\) 0.936950 0.349464i 0.165631 0.0617771i
\(33\) 2.17810 + 3.98890i 0.379159 + 0.694378i
\(34\) 2.11349 + 2.43910i 0.362461 + 0.418302i
\(35\) −2.90507 + 1.06605i −0.491047 + 0.180195i
\(36\) −0.959493 0.281733i −0.159915 0.0469554i
\(37\) 0.269191 + 0.721730i 0.0442548 + 0.118652i 0.957197 0.289437i \(-0.0934681\pi\)
−0.912942 + 0.408089i \(0.866195\pi\)
\(38\) 0.247352 + 1.13706i 0.0401258 + 0.184456i
\(39\) −0.0336523 0.114609i −0.00538868 0.0183521i
\(40\) 1.95685 + 1.08201i 0.309405 + 0.171081i
\(41\) −1.09634 2.40066i −0.171220 0.374920i 0.804496 0.593958i \(-0.202435\pi\)
−0.975716 + 0.219038i \(0.929708\pi\)
\(42\) −1.10787 0.829340i −0.170948 0.127970i
\(43\) 4.74127 + 1.03140i 0.723037 + 0.157287i 0.559000 0.829167i \(-0.311185\pi\)
0.164036 + 0.986454i \(0.447549\pi\)
\(44\) 2.97623 3.43475i 0.448683 0.517808i
\(45\) −0.918113 2.03889i −0.136864 0.303940i
\(46\) −1.51134 + 4.55147i −0.222836 + 0.671077i
\(47\) −3.35604 3.35604i −0.489529 0.489529i 0.418629 0.908157i \(-0.362511\pi\)
−0.908157 + 0.418629i \(0.862511\pi\)
\(48\) 0.0713392 + 0.997452i 0.0102969 + 0.143970i
\(49\) 2.74906 + 4.27762i 0.392723 + 0.611089i
\(50\) 1.01103 + 4.89672i 0.142981 + 0.692500i
\(51\) −2.93574 + 1.34071i −0.411086 + 0.187737i
\(52\) −0.0956227 + 0.0715823i −0.0132605 + 0.00992667i
\(53\) −4.35555 2.37831i −0.598281 0.326686i 0.151413 0.988471i \(-0.451618\pi\)
−0.749694 + 0.661784i \(0.769799\pi\)
\(54\) 0.540641 0.841254i 0.0735719 0.114480i
\(55\) 10.1624 + 0.0538109i 1.37030 + 0.00725586i
\(56\) −0.389890 + 1.32784i −0.0521012 + 0.177440i
\(57\) −1.16069 0.0830141i −0.153737 0.0109955i
\(58\) −2.46977 0.176641i −0.324297 0.0231942i
\(59\) 0.267799 0.912041i 0.0348645 0.118738i −0.940222 0.340562i \(-0.889383\pi\)
0.975087 + 0.221824i \(0.0712010\pi\)
\(60\) −1.58949 + 1.57274i −0.205202 + 0.203040i
\(61\) 6.89732 10.7324i 0.883111 1.37415i −0.0438696 0.999037i \(-0.513969\pi\)
0.926980 0.375110i \(-0.122395\pi\)
\(62\) −5.72791 3.12768i −0.727445 0.397215i
\(63\) 1.10787 0.829340i 0.139578 0.104487i
\(64\) 0.909632 0.415415i 0.113704 0.0519269i
\(65\) −0.260685 0.0581558i −0.0323340 0.00721334i
\(66\) 2.45712 + 3.82335i 0.302450 + 0.470622i
\(67\) −1.03147 14.4218i −0.126014 1.76191i −0.530800 0.847497i \(-0.678108\pi\)
0.404786 0.914412i \(-0.367346\pi\)
\(68\) 2.28211 + 2.28211i 0.276747 + 0.276747i
\(69\) −3.94130 2.73242i −0.474477 0.328945i
\(70\) −2.82162 + 1.27058i −0.337248 + 0.151863i
\(71\) 5.17109 5.96775i 0.613695 0.708242i −0.360802 0.932642i \(-0.617497\pi\)
0.974497 + 0.224401i \(0.0720424\pi\)
\(72\) −0.977147 0.212565i −0.115158 0.0250511i
\(73\) 8.91923 + 6.67685i 1.04392 + 0.781467i 0.976339 0.216247i \(-0.0693818\pi\)
0.0675786 + 0.997714i \(0.478473\pi\)
\(74\) 0.319993 + 0.700687i 0.0371984 + 0.0814532i
\(75\) −4.98320 0.409491i −0.575411 0.0472839i
\(76\) 0.327839 + 1.11652i 0.0376057 + 0.128073i
\(77\) 1.33695 + 6.14585i 0.152359 + 0.700384i
\(78\) −0.0417427 0.111916i −0.00472642 0.0126720i
\(79\) −11.2840 3.31328i −1.26955 0.372773i −0.423507 0.905893i \(-0.639201\pi\)
−0.846040 + 0.533120i \(0.821019\pi\)
\(80\) 2.02905 + 0.939653i 0.226855 + 0.105056i
\(81\) 0.654861 + 0.755750i 0.0727623 + 0.0839722i
\(82\) −1.26481 2.31633i −0.139675 0.255796i
\(83\) 1.37100 0.511355i 0.150486 0.0561285i −0.273092 0.961988i \(-0.588046\pi\)
0.423579 + 0.905859i \(0.360774\pi\)
\(84\) −1.16421 0.748193i −0.127026 0.0816345i
\(85\) −0.552939 + 7.19545i −0.0599747 + 0.780456i
\(86\) 4.80277 + 0.690534i 0.517896 + 0.0744621i
\(87\) 0.865301 2.31996i 0.0927700 0.248726i
\(88\) 2.72361 3.63832i 0.290338 0.387846i
\(89\) −7.15307 + 4.59700i −0.758224 + 0.487281i −0.861742 0.507347i \(-0.830626\pi\)
0.103518 + 0.994628i \(0.466990\pi\)
\(90\) −1.06123 1.96820i −0.111863 0.207466i
\(91\) 0.165304i 0.0173285i
\(92\) −1.18280 + 4.64769i −0.123315 + 0.484555i
\(93\) 4.61472 4.61472i 0.478524 0.478524i
\(94\) −3.58691 3.10807i −0.369961 0.320573i
\(95\) −1.41832 + 2.18147i −0.145517 + 0.223814i
\(96\) 0.142315 + 0.989821i 0.0145249 + 0.101023i
\(97\) 13.1626 + 4.90938i 1.33645 + 0.498472i 0.913190 0.407534i \(-0.133611\pi\)
0.423265 + 0.906006i \(0.360884\pi\)
\(98\) 3.04722 + 4.07061i 0.307816 + 0.411194i
\(99\) −4.36073 + 1.28042i −0.438270 + 0.128688i
\(100\) 1.35778 + 4.81211i 0.135778 + 0.481211i
\(101\) 1.34406 2.94307i 0.133738 0.292846i −0.830901 0.556421i \(-0.812174\pi\)
0.964639 + 0.263574i \(0.0849015\pi\)
\(102\) −2.83261 + 1.54672i −0.280471 + 0.153149i
\(103\) 0.896073 12.5287i 0.0882927 1.23449i −0.739382 0.673286i \(-0.764882\pi\)
0.827675 0.561208i \(-0.189663\pi\)
\(104\) −0.0902725 + 0.0782215i −0.00885194 + 0.00767025i
\(105\) −0.424168 3.06529i −0.0413945 0.299141i
\(106\) −4.51412 2.06153i −0.438450 0.200234i
\(107\) −19.7520 + 4.29679i −1.90950 + 0.415386i −1.00000 0.000316212i \(-0.999899\pi\)
−0.909501 + 0.415703i \(0.863536\pi\)
\(108\) 0.479249 0.877679i 0.0461158 0.0844547i
\(109\) 0.692730 4.81805i 0.0663515 0.461485i −0.929375 0.369137i \(-0.879653\pi\)
0.995727 0.0923486i \(-0.0294374\pi\)
\(110\) 10.1403 0.671303i 0.966843 0.0640062i
\(111\) −0.762457 + 0.109625i −0.0723692 + 0.0104051i
\(112\) −0.294169 + 1.35227i −0.0277964 + 0.127778i
\(113\) −7.05537 + 0.504610i −0.663714 + 0.0474697i −0.399132 0.916894i \(-0.630688\pi\)
−0.264582 + 0.964363i \(0.585234\pi\)
\(114\) −1.16365 −0.108986
\(115\) −9.61146 + 4.75603i −0.896274 + 0.443502i
\(116\) −2.47608 −0.229898
\(117\) 0.119143 0.00852129i 0.0110148 0.000787794i
\(118\) 0.202053 0.928822i 0.0186005 0.0855050i
\(119\) −4.42093 + 0.635633i −0.405266 + 0.0582684i
\(120\) −1.47324 + 1.68213i −0.134488 + 0.153557i
\(121\) 1.37411 9.55715i 0.124919 0.868832i
\(122\) 6.11410 11.1971i 0.553545 1.01374i
\(123\) 2.57884 0.560993i 0.232526 0.0505830i
\(124\) −5.93644 2.71108i −0.533108 0.243462i
\(125\) −6.19319 + 9.30830i −0.553935 + 0.832560i
\(126\) 1.04588 0.906262i 0.0931746 0.0807362i
\(127\) 1.15751 16.1841i 0.102712 1.43610i −0.640967 0.767568i \(-0.721466\pi\)
0.743679 0.668537i \(-0.233079\pi\)
\(128\) 0.877679 0.479249i 0.0775766 0.0423600i
\(129\) −2.01566 + 4.41367i −0.177469 + 0.388602i
\(130\) −0.264169 0.0394106i −0.0231692 0.00345654i
\(131\) 11.2349 3.29887i 0.981599 0.288223i 0.248715 0.968577i \(-0.419992\pi\)
0.732884 + 0.680353i \(0.238174\pi\)
\(132\) 2.72361 + 3.63832i 0.237060 + 0.316675i
\(133\) −1.50885 0.562770i −0.130833 0.0487984i
\(134\) −2.05769 14.3115i −0.177757 1.23633i
\(135\) 2.18745 0.463734i 0.188266 0.0399119i
\(136\) 2.43910 + 2.11349i 0.209151 + 0.181230i
\(137\) −3.02677 + 3.02677i −0.258595 + 0.258595i −0.824482 0.565888i \(-0.808534\pi\)
0.565888 + 0.824482i \(0.308534\pi\)
\(138\) −4.12619 2.44429i −0.351245 0.208072i
\(139\) 20.0843i 1.70353i −0.523926 0.851764i \(-0.675533\pi\)
0.523926 0.851764i \(-0.324467\pi\)
\(140\) −2.72379 + 1.46863i −0.230202 + 0.124122i
\(141\) 3.99272 2.56597i 0.336248 0.216093i
\(142\) 4.73218 6.32145i 0.397115 0.530484i
\(143\) −0.189713 + 0.508640i −0.0158646 + 0.0425346i
\(144\) −0.989821 0.142315i −0.0824851 0.0118596i
\(145\) −3.60355 4.20348i −0.299258 0.349080i
\(146\) 9.37283 + 6.02355i 0.775701 + 0.498513i
\(147\) −4.76422 + 1.77696i −0.392946 + 0.146561i
\(148\) 0.369164 + 0.676074i 0.0303451 + 0.0555729i
\(149\) −11.4473 13.2109i −0.937799 1.08228i −0.996466 0.0840000i \(-0.973230\pi\)
0.0586669 0.998278i \(-0.481315\pi\)
\(150\) −4.99972 0.0529496i −0.408225 0.00432331i
\(151\) −0.312870 0.0918669i −0.0254610 0.00747602i 0.268977 0.963147i \(-0.413314\pi\)
−0.294438 + 0.955671i \(0.595133\pi\)
\(152\) 0.406655 + 1.09028i 0.0329841 + 0.0884338i
\(153\) −0.686031 3.15364i −0.0554624 0.254956i
\(154\) 1.77198 + 6.03481i 0.142790 + 0.486299i
\(155\) −4.03713 14.0235i −0.324270 1.12639i
\(156\) −0.0496203 0.108653i −0.00397281 0.00869923i
\(157\) 12.9246 + 9.67521i 1.03149 + 0.772166i 0.974084 0.226185i \(-0.0726255\pi\)
0.0574081 + 0.998351i \(0.481716\pi\)
\(158\) −11.4916 2.49984i −0.914222 0.198877i
\(159\) 3.24980 3.75047i 0.257726 0.297432i
\(160\) 2.09092 + 0.792508i 0.165301 + 0.0626533i
\(161\) −4.16809 5.16490i −0.328491 0.407051i
\(162\) 0.707107 + 0.707107i 0.0555556 + 0.0555556i
\(163\) 0.118128 + 1.65165i 0.00925252 + 0.129367i 0.999979 0.00650542i \(-0.00207075\pi\)
−0.990726 + 0.135873i \(0.956616\pi\)
\(164\) −1.42683 2.22020i −0.111417 0.173368i
\(165\) −2.21275 + 9.91871i −0.172263 + 0.772171i
\(166\) 1.33102 0.607858i 0.103307 0.0471789i
\(167\) 1.87712 1.40520i 0.145256 0.108737i −0.524178 0.851609i \(-0.675627\pi\)
0.669434 + 0.742871i \(0.266537\pi\)
\(168\) −1.21462 0.663233i −0.0937100 0.0511695i
\(169\) −7.02062 + 10.9243i −0.540047 + 0.840330i
\(170\) −0.0382125 + 7.21657i −0.00293076 + 0.553485i
\(171\) 0.327839 1.11652i 0.0250705 0.0853822i
\(172\) 4.83979 + 0.346149i 0.369031 + 0.0263936i
\(173\) 2.63836 + 0.188699i 0.200591 + 0.0143465i 0.171273 0.985224i \(-0.445212\pi\)
0.0293178 + 0.999570i \(0.490667\pi\)
\(174\) 0.697592 2.37578i 0.0528843 0.180107i
\(175\) −6.45725 2.48664i −0.488122 0.187972i
\(176\) 2.45712 3.82335i 0.185212 0.288196i
\(177\) 0.834273 + 0.455548i 0.0627078 + 0.0342411i
\(178\) −6.80690 + 5.09558i −0.510199 + 0.381930i
\(179\) −14.9223 + 6.81479i −1.11535 + 0.509361i −0.885861 0.463951i \(-0.846431\pi\)
−0.229484 + 0.973312i \(0.573704\pi\)
\(180\) −1.19893 1.88747i −0.0893631 0.140684i
\(181\) 0.126469 + 0.196790i 0.00940040 + 0.0146273i 0.845922 0.533307i \(-0.179051\pi\)
−0.836522 + 0.547934i \(0.815414\pi\)
\(182\) −0.0117926 0.164882i −0.000874127 0.0122219i
\(183\) 9.02103 + 9.02103i 0.666854 + 0.666854i
\(184\) −0.848220 + 4.72022i −0.0625316 + 0.347980i
\(185\) −0.610467 + 1.61063i −0.0448824 + 0.118416i
\(186\) 4.27375 4.93217i 0.313367 0.361645i
\(187\) 14.3327 + 3.11789i 1.04811 + 0.228003i
\(188\) −3.79949 2.84427i −0.277107 0.207439i
\(189\) 0.574893 + 1.25884i 0.0418173 + 0.0915671i
\(190\) −1.25908 + 2.27709i −0.0913436 + 0.165198i
\(191\) −1.64227 5.59305i −0.118830 0.404699i 0.878498 0.477746i \(-0.158546\pi\)
−0.997329 + 0.0730469i \(0.976728\pi\)
\(192\) 0.212565 + 0.977147i 0.0153406 + 0.0705195i
\(193\) −0.825112 2.21221i −0.0593928 0.159238i 0.903864 0.427819i \(-0.140718\pi\)
−0.963257 + 0.268581i \(0.913445\pi\)
\(194\) 13.4792 + 3.95786i 0.967754 + 0.284158i
\(195\) 0.112239 0.242365i 0.00803762 0.0173561i
\(196\) 3.32985 + 3.84285i 0.237846 + 0.274489i
\(197\) 1.36222 + 2.49472i 0.0970543 + 0.177742i 0.921695 0.387915i \(-0.126805\pi\)
−0.824641 + 0.565657i \(0.808623\pi\)
\(198\) −4.25827 + 1.58825i −0.302622 + 0.112872i
\(199\) −1.40425 0.902454i −0.0995444 0.0639733i 0.489922 0.871767i \(-0.337025\pi\)
−0.589466 + 0.807793i \(0.700662\pi\)
\(200\) 1.69761 + 4.70299i 0.120039 + 0.332552i
\(201\) 14.3115 + 2.05769i 1.00946 + 0.145138i
\(202\) 1.13067 3.03146i 0.0795540 0.213292i
\(203\) 2.05351 2.74317i 0.144128 0.192533i
\(204\) −2.71505 + 1.74486i −0.190092 + 0.122165i
\(205\) 1.69256 5.65340i 0.118213 0.394851i
\(206\) 12.5607i 0.875149i
\(207\) 3.50776 3.27042i 0.243806 0.227310i
\(208\) −0.0844622 + 0.0844622i −0.00585640 + 0.00585640i
\(209\) 3.99686 + 3.46330i 0.276468 + 0.239561i
\(210\) −0.641762 3.02722i −0.0442858 0.208898i
\(211\) 3.71676 + 25.8506i 0.255872 + 1.77963i 0.561497 + 0.827479i \(0.310226\pi\)
−0.305625 + 0.952152i \(0.598865\pi\)
\(212\) −4.64969 1.73424i −0.319342 0.119108i
\(213\) 4.73218 + 6.32145i 0.324243 + 0.433138i
\(214\) −19.3952 + 5.69494i −1.32583 + 0.389298i
\(215\) 6.45593 + 8.71998i 0.440291 + 0.594697i
\(216\) 0.415415 0.909632i 0.0282654 0.0618926i
\(217\) 7.92686 4.32839i 0.538110 0.293830i
\(218\) 0.347250 4.85519i 0.0235187 0.328835i
\(219\) −8.42019 + 7.29613i −0.568983 + 0.493027i
\(220\) 10.0666 1.39300i 0.678691 0.0939158i
\(221\) −0.350667 0.160144i −0.0235884 0.0107725i
\(222\) −0.752694 + 0.163738i −0.0505175 + 0.0109894i
\(223\) 2.63511 4.82585i 0.176460 0.323163i −0.774447 0.632639i \(-0.781972\pi\)
0.950907 + 0.309476i \(0.100154\pi\)
\(224\) −0.196950 + 1.36981i −0.0131592 + 0.0915246i
\(225\) 1.45939 4.78228i 0.0972926 0.318819i
\(226\) −7.00140 + 1.00665i −0.465726 + 0.0669613i
\(227\) −4.65969 + 21.4203i −0.309275 + 1.42171i 0.515809 + 0.856703i \(0.327491\pi\)
−0.825084 + 0.565010i \(0.808872\pi\)
\(228\) −1.16069 + 0.0830141i −0.0768685 + 0.00549774i
\(229\) 3.90909 0.258320 0.129160 0.991624i \(-0.458772\pi\)
0.129160 + 0.991624i \(0.458772\pi\)
\(230\) −9.24768 + 5.42958i −0.609774 + 0.358016i
\(231\) −6.28958 −0.413824
\(232\) −2.46977 + 0.176641i −0.162148 + 0.0115971i
\(233\) −0.556142 + 2.55654i −0.0364341 + 0.167485i −0.991769 0.128041i \(-0.959131\pi\)
0.955335 + 0.295526i \(0.0954948\pi\)
\(234\) 0.118232 0.0169992i 0.00772905 0.00111127i
\(235\) −0.701041 10.5896i −0.0457309 0.690786i
\(236\) 0.135277 0.940870i 0.00880576 0.0612454i
\(237\) 5.63614 10.3218i 0.366107 0.670474i
\(238\) −4.36432 + 0.949399i −0.282897 + 0.0615404i
\(239\) 2.86996 + 1.31067i 0.185642 + 0.0847800i 0.506068 0.862494i \(-0.331099\pi\)
−0.320425 + 0.947274i \(0.603826\pi\)
\(240\) −1.34949 + 1.78294i −0.0871089 + 0.115089i
\(241\) −3.90791 + 3.38623i −0.251731 + 0.218126i −0.771580 0.636132i \(-0.780533\pi\)
0.519850 + 0.854258i \(0.325988\pi\)
\(242\) 0.688810 9.63083i 0.0442784 0.619093i
\(243\) −0.877679 + 0.479249i −0.0563031 + 0.0307438i
\(244\) 5.29973 11.6048i 0.339280 0.742920i
\(245\) −1.67769 + 11.2455i −0.107184 + 0.718452i
\(246\) 2.53225 0.743536i 0.161450 0.0474061i
\(247\) −0.0832970 0.111272i −0.00530006 0.00708005i
\(248\) −6.11472 2.28067i −0.388285 0.144823i
\(249\) 0.208243 + 1.44836i 0.0131969 + 0.0917861i
\(250\) −5.51336 + 9.72640i −0.348696 + 0.615152i
\(251\) −22.3965 19.4067i −1.41366 1.22494i −0.938610 0.344981i \(-0.887885\pi\)
−0.475048 0.879960i \(-0.657569\pi\)
\(252\) 0.978565 0.978565i 0.0616438 0.0616438i
\(253\) 6.89767 + 20.6760i 0.433653 + 1.29989i
\(254\) 16.2254i 1.01807i
\(255\) −6.91348 2.06981i −0.432939 0.129616i
\(256\) 0.841254 0.540641i 0.0525783 0.0337901i
\(257\) −5.38848 + 7.19817i −0.336124 + 0.449009i −0.936479 0.350725i \(-0.885935\pi\)
0.600354 + 0.799734i \(0.295026\pi\)
\(258\) −1.69565 + 4.54622i −0.105567 + 0.283036i
\(259\) −1.05516 0.151710i −0.0655647 0.00942678i
\(260\) −0.266308 0.0204646i −0.0165157 0.00126916i
\(261\) 2.08301 + 1.33867i 0.128935 + 0.0828615i
\(262\) 10.9709 4.09195i 0.677787 0.252802i
\(263\) 3.65121 + 6.68668i 0.225143 + 0.412319i 0.965694 0.259681i \(-0.0836174\pi\)
−0.740551 + 0.672000i \(0.765436\pi\)
\(264\) 2.97623 + 3.43475i 0.183174 + 0.211394i
\(265\) −3.82278 10.4174i −0.234832 0.639936i
\(266\) −1.54515 0.453697i −0.0947391 0.0278179i
\(267\) −2.97145 7.96676i −0.181850 0.487558i
\(268\) −3.07341 14.1283i −0.187739 0.863021i
\(269\) 5.69461 + 19.3941i 0.347206 + 1.18248i 0.929291 + 0.369348i \(0.120419\pi\)
−0.582085 + 0.813128i \(0.697763\pi\)
\(270\) 2.14880 0.618604i 0.130772 0.0376470i
\(271\) 7.17312 + 15.7069i 0.435736 + 0.954129i 0.992361 + 0.123365i \(0.0393687\pi\)
−0.556625 + 0.830764i \(0.687904\pi\)
\(272\) 2.58366 + 1.93410i 0.156657 + 0.117272i
\(273\) 0.161526 + 0.0351378i 0.00977599 + 0.00212664i
\(274\) −2.80313 + 3.23499i −0.169343 + 0.195433i
\(275\) 17.0152 + 15.0622i 1.02605 + 0.908283i
\(276\) −4.29005 2.14370i −0.258231 0.129036i
\(277\) −7.00123 7.00123i −0.420663 0.420663i 0.464769 0.885432i \(-0.346137\pi\)
−0.885432 + 0.464769i \(0.846137\pi\)
\(278\) −1.43280 20.0331i −0.0859335 1.20151i
\(279\) 3.52833 + 5.49019i 0.211236 + 0.328689i
\(280\) −2.61208 + 1.65920i −0.156101 + 0.0991563i
\(281\) −5.34860 + 2.44263i −0.319071 + 0.145715i −0.568512 0.822675i \(-0.692481\pi\)
0.249441 + 0.968390i \(0.419753\pi\)
\(282\) 3.79949 2.84427i 0.226257 0.169374i
\(283\) 19.6982 + 10.7560i 1.17094 + 0.639379i 0.942509 0.334182i \(-0.108460\pi\)
0.228427 + 0.973561i \(0.426642\pi\)
\(284\) 4.26915 6.64293i 0.253328 0.394185i
\(285\) −1.83013 1.84961i −0.108408 0.109562i
\(286\) −0.152944 + 0.520878i −0.00904375 + 0.0308002i
\(287\) 3.64302 + 0.260554i 0.215041 + 0.0153800i
\(288\) −0.997452 0.0713392i −0.0587754 0.00420370i
\(289\) 1.85491 6.31725i 0.109112 0.371603i
\(290\) −3.89424 3.93570i −0.228678 0.231112i
\(291\) −7.59509 + 11.8182i −0.445232 + 0.692794i
\(292\) 9.77866 + 5.33955i 0.572253 + 0.312474i
\(293\) −14.8693 + 11.1310i −0.868672 + 0.650280i −0.937742 0.347332i \(-0.887088\pi\)
0.0690704 + 0.997612i \(0.477997\pi\)
\(294\) −4.62532 + 2.11231i −0.269754 + 0.123192i
\(295\) 1.79413 1.13964i 0.104458 0.0663523i
\(296\) 0.416454 + 0.648015i 0.0242059 + 0.0376651i
\(297\) −0.324224 4.53324i −0.0188134 0.263046i
\(298\) −12.3606 12.3606i −0.716029 0.716029i
\(299\) −0.0616325 0.569525i −0.00356430 0.0329365i
\(300\) −4.99076 + 0.303861i −0.288142 + 0.0175434i
\(301\) −4.39732 + 5.07478i −0.253457 + 0.292506i
\(302\) −0.318627 0.0693130i −0.0183349 0.00398851i
\(303\) 2.59011 + 1.93893i 0.148798 + 0.111389i
\(304\) 0.483399 + 1.05850i 0.0277248 + 0.0607089i
\(305\) 27.4136 7.89194i 1.56970 0.451891i
\(306\) −0.909261 3.09666i −0.0519790 0.177024i
\(307\) 3.45861 + 15.8990i 0.197393 + 0.907401i 0.964128 + 0.265437i \(0.0855164\pi\)
−0.766735 + 0.641964i \(0.778120\pi\)
\(308\) 2.19798 + 5.89302i 0.125242 + 0.335786i
\(309\) 12.0519 + 3.53877i 0.685611 + 0.201314i
\(310\) −5.02727 13.6997i −0.285530 0.778093i
\(311\) −12.5096 14.4368i −0.709352 0.818636i 0.280632 0.959815i \(-0.409456\pi\)
−0.989984 + 0.141179i \(0.954911\pi\)
\(312\) −0.0572451 0.104837i −0.00324087 0.00593521i
\(313\) 19.7429 7.36372i 1.11593 0.416222i 0.277227 0.960804i \(-0.410585\pi\)
0.838707 + 0.544582i \(0.183312\pi\)
\(314\) 13.5819 + 8.72853i 0.766468 + 0.492579i
\(315\) 3.08540 + 0.237099i 0.173842 + 0.0133590i
\(316\) −11.6407 1.67367i −0.654838 0.0941515i
\(317\) −5.73389 + 15.3731i −0.322047 + 0.863442i 0.670536 + 0.741877i \(0.266064\pi\)
−0.992583 + 0.121565i \(0.961209\pi\)
\(318\) 2.97396 3.97275i 0.166772 0.222781i
\(319\) −9.46691 + 6.08402i −0.530045 + 0.340640i
\(320\) 2.14213 + 0.641325i 0.119748 + 0.0358511i
\(321\) 20.2140i 1.12823i
\(322\) −4.52593 4.85439i −0.252220 0.270525i
\(323\) −2.65559 + 2.65559i −0.147761 + 0.147761i
\(324\) 0.755750 + 0.654861i 0.0419861 + 0.0363812i
\(325\) −0.352828 0.481877i −0.0195714 0.0267297i
\(326\) 0.235655 + 1.63901i 0.0130517 + 0.0907766i
\(327\) 4.56069 + 1.70105i 0.252207 + 0.0940682i
\(328\) −1.58159 2.11275i −0.0873285 0.116657i
\(329\) 6.30215 1.85048i 0.347449 0.102020i
\(330\) −1.49952 + 10.0513i −0.0825460 + 0.553306i
\(331\) −8.76458 + 19.1918i −0.481745 + 1.05487i 0.500235 + 0.865890i \(0.333247\pi\)
−0.981980 + 0.188985i \(0.939480\pi\)
\(332\) 1.28427 0.701263i 0.0704833 0.0384868i
\(333\) 0.0549524 0.768335i 0.00301137 0.0421045i
\(334\) 1.77210 1.53553i 0.0969647 0.0840204i
\(335\) 19.5118 25.7790i 1.06604 1.40846i
\(336\) −1.25884 0.574893i −0.0686753 0.0313630i
\(337\) −21.9554 + 4.77610i −1.19599 + 0.260171i −0.766105 0.642715i \(-0.777808\pi\)
−0.429880 + 0.902886i \(0.641444\pi\)
\(338\) −6.22340 + 11.3973i −0.338508 + 0.619932i
\(339\) 1.00665 7.00140i 0.0546737 0.380264i
\(340\) 0.476709 + 7.20091i 0.0258532 + 0.390524i
\(341\) −29.3585 + 4.22112i −1.58985 + 0.228587i
\(342\) 0.247352 1.13706i 0.0133753 0.0614852i
\(343\) −16.6816 + 1.19309i −0.900720 + 0.0644208i
\(344\) 4.85215 0.261611
\(345\) −2.60427 10.4028i −0.140209 0.560067i
\(346\) 2.64510 0.142202
\(347\) 23.4361 1.67618i 1.25811 0.0899822i 0.573694 0.819070i \(-0.305510\pi\)
0.684421 + 0.729087i \(0.260055\pi\)
\(348\) 0.526328 2.41949i 0.0282142 0.129698i
\(349\) 5.35172 0.769461i 0.286471 0.0411883i 0.00241856 0.999997i \(-0.499230\pi\)
0.284052 + 0.958809i \(0.408321\pi\)
\(350\) −6.61820 2.01965i −0.353757 0.107955i
\(351\) −0.0169992 + 0.118232i −0.000907348 + 0.00631075i
\(352\) 2.17810 3.98890i 0.116093 0.212609i
\(353\) 24.3728 5.30199i 1.29724 0.282196i 0.489636 0.871927i \(-0.337130\pi\)
0.807600 + 0.589731i \(0.200766\pi\)
\(354\) 0.864646 + 0.394871i 0.0459554 + 0.0209871i
\(355\) 17.4904 2.42028i 0.928293 0.128455i
\(356\) −6.42604 + 5.56820i −0.340580 + 0.295114i
\(357\) 0.318628 4.45501i 0.0168636 0.235784i
\(358\) −14.3981 + 7.86197i −0.760964 + 0.415518i
\(359\) −0.168571 + 0.369119i −0.00889685 + 0.0194814i −0.914028 0.405651i \(-0.867045\pi\)
0.905131 + 0.425132i \(0.139772\pi\)
\(360\) −1.33053 1.79714i −0.0701250 0.0947173i
\(361\) 16.9311 4.97143i 0.891112 0.261654i
\(362\) 0.140186 + 0.187267i 0.00736802 + 0.00984252i
\(363\) 9.04665 + 3.37423i 0.474826 + 0.177101i
\(364\) −0.0235251 0.163621i −0.00123305 0.00857607i
\(365\) 5.16670 + 24.3715i 0.270437 + 1.27566i
\(366\) 9.64160 + 8.35450i 0.503975 + 0.436696i
\(367\) 7.95998 7.95998i 0.415508 0.415508i −0.468144 0.883652i \(-0.655077\pi\)
0.883652 + 0.468144i \(0.155077\pi\)
\(368\) −0.509322 + 4.76871i −0.0265503 + 0.248586i
\(369\) 2.63915i 0.137389i
\(370\) −0.494011 + 1.65007i −0.0256824 + 0.0857832i
\(371\) 5.77749 3.71297i 0.299952 0.192768i
\(372\) 3.91101 5.22449i 0.202776 0.270877i
\(373\) 4.30996 11.5554i 0.223161 0.598318i −0.776326 0.630331i \(-0.782919\pi\)
0.999487 + 0.0320129i \(0.0101918\pi\)
\(374\) 14.5186 + 2.08746i 0.750740 + 0.107940i
\(375\) −7.77912 8.03027i −0.401712 0.414682i
\(376\) −3.99272 2.56597i −0.205909 0.132330i
\(377\) 0.277114 0.103358i 0.0142721 0.00532321i
\(378\) 0.663233 + 1.21462i 0.0341130 + 0.0624733i
\(379\) −17.4589 20.1486i −0.896803 1.03497i −0.999191 0.0402217i \(-0.987194\pi\)
0.102387 0.994745i \(-0.467352\pi\)
\(380\) −1.09343 + 2.36111i −0.0560918 + 0.121123i
\(381\) 15.5682 + 4.57123i 0.797582 + 0.234191i
\(382\) −2.03709 5.46164i −0.104226 0.279442i
\(383\) −0.685677 3.15201i −0.0350365 0.161060i 0.956305 0.292372i \(-0.0944446\pi\)
−0.991341 + 0.131312i \(0.958081\pi\)
\(384\) 0.281733 + 0.959493i 0.0143771 + 0.0489639i
\(385\) −6.80539 + 12.3078i −0.346835 + 0.627261i
\(386\) −0.980827 2.14771i −0.0499228 0.109316i
\(387\) −3.88435 2.90779i −0.197453 0.147811i
\(388\) 13.7273 + 2.98618i 0.696896 + 0.151600i
\(389\) 3.20245 3.69583i 0.162371 0.187386i −0.668734 0.743502i \(-0.733163\pi\)
0.831105 + 0.556116i \(0.187709\pi\)
\(390\) 0.0946632 0.249755i 0.00479346 0.0126468i
\(391\) −14.9946 + 3.83828i −0.758308 + 0.194110i
\(392\) 3.59551 + 3.59551i 0.181601 + 0.181601i
\(393\) 0.835326 + 11.6794i 0.0421366 + 0.589147i
\(394\) 1.53672 + 2.39119i 0.0774190 + 0.120466i
\(395\) −14.0999 22.1974i −0.709442 1.11687i
\(396\) −4.13412 + 1.88799i −0.207747 + 0.0948750i
\(397\) 8.99817 6.73595i 0.451605 0.338067i −0.349142 0.937070i \(-0.613527\pi\)
0.800747 + 0.599002i \(0.204436\pi\)
\(398\) −1.46505 0.799977i −0.0734363 0.0400992i
\(399\) 0.870637 1.35474i 0.0435864 0.0678217i
\(400\) 2.02879 + 4.56990i 0.101440 + 0.228495i
\(401\) 4.67283 15.9142i 0.233350 0.794718i −0.756671 0.653796i \(-0.773175\pi\)
0.990021 0.140922i \(-0.0450065\pi\)
\(402\) 14.4218 + 1.03147i 0.719296 + 0.0514451i
\(403\) 0.777553 + 0.0556117i 0.0387327 + 0.00277021i
\(404\) 0.911532 3.10439i 0.0453504 0.154449i
\(405\) −0.0118400 + 2.23604i −0.000588337 + 0.111110i
\(406\) 1.85258 2.88268i 0.0919422 0.143065i
\(407\) 3.07264 + 1.67779i 0.152305 + 0.0831648i
\(408\) −2.58366 + 1.93410i −0.127910 + 0.0957524i
\(409\) −20.8341 + 9.51462i −1.03018 + 0.470468i −0.857486 0.514508i \(-0.827975\pi\)
−0.172695 + 0.984975i \(0.555247\pi\)
\(410\) 1.28493 5.75974i 0.0634584 0.284453i
\(411\) −2.31421 3.60099i −0.114152 0.177624i
\(412\) −0.896073 12.5287i −0.0441464 0.617247i
\(413\) 0.930170 + 0.930170i 0.0457707 + 0.0457707i
\(414\) 3.26551 3.51232i 0.160491 0.172621i
\(415\) 3.05954 + 1.15964i 0.150187 + 0.0569245i
\(416\) −0.0782215 + 0.0902725i −0.00383513 + 0.00442597i
\(417\) 19.6253 + 4.26923i 0.961056 + 0.209065i
\(418\) 4.23374 + 3.16934i 0.207079 + 0.155017i
\(419\) 8.60647 + 18.8455i 0.420454 + 0.920665i 0.994780 + 0.102039i \(0.0325366\pi\)
−0.574327 + 0.818626i \(0.694736\pi\)
\(420\) −0.856086 2.97372i −0.0417727 0.145103i
\(421\) 3.64401 + 12.4104i 0.177598 + 0.604845i 0.999386 + 0.0350500i \(0.0111591\pi\)
−0.821787 + 0.569795i \(0.807023\pi\)
\(422\) 5.55145 + 25.5196i 0.270241 + 1.24228i
\(423\) 1.65861 + 4.44691i 0.0806445 + 0.216216i
\(424\) −4.76156 1.39812i −0.231242 0.0678988i
\(425\) −11.5307 + 11.2891i −0.559324 + 0.547601i
\(426\) 5.17109 + 5.96775i 0.250540 + 0.289139i
\(427\) 8.46130 + 15.4957i 0.409471 + 0.749890i
\(428\) −18.9395 + 7.06406i −0.915474 + 0.341454i
\(429\) −0.456690 0.293497i −0.0220492 0.0141702i
\(430\) 7.06156 + 8.23720i 0.340538 + 0.397233i
\(431\) −14.0564 2.02101i −0.677075 0.0973486i −0.204805 0.978803i \(-0.565656\pi\)
−0.472270 + 0.881454i \(0.656565\pi\)
\(432\) 0.349464 0.936950i 0.0168136 0.0450790i
\(433\) −14.9083 + 19.9152i −0.716448 + 0.957062i −0.999998 0.00189501i \(-0.999397\pi\)
0.283550 + 0.958957i \(0.408488\pi\)
\(434\) 7.59788 4.88286i 0.364710 0.234385i
\(435\) 4.87341 2.62768i 0.233662 0.125988i
\(436\) 4.86759i 0.233115i
\(437\) −5.40830 1.37636i −0.258714 0.0658405i
\(438\) −7.87823 + 7.87823i −0.376436 + 0.376436i
\(439\) −5.16502 4.47551i −0.246513 0.213605i 0.522836 0.852433i \(-0.324874\pi\)
−0.769349 + 0.638828i \(0.779419\pi\)
\(440\) 9.94159 2.10759i 0.473947 0.100475i
\(441\) −0.723645 5.03306i −0.0344593 0.239670i
\(442\) −0.361198 0.134720i −0.0171804 0.00640797i
\(443\) 16.2661 + 21.7290i 0.772827 + 1.03238i 0.998309 + 0.0581287i \(0.0185134\pi\)
−0.225482 + 0.974247i \(0.572396\pi\)
\(444\) −0.739095 + 0.217018i −0.0350759 + 0.0102992i
\(445\) −18.8049 2.80544i −0.891437 0.132991i
\(446\) 2.28413 5.00154i 0.108157 0.236830i
\(447\) 15.3423 8.37751i 0.725664 0.396243i
\(448\) −0.0987263 + 1.38037i −0.00466438 + 0.0652165i
\(449\) −1.12903 + 0.978314i −0.0532824 + 0.0461695i −0.681095 0.732195i \(-0.738496\pi\)
0.627813 + 0.778365i \(0.283950\pi\)
\(450\) 1.11451 4.87421i 0.0525383 0.229772i
\(451\) −10.9106 4.98269i −0.513759 0.234626i
\(452\) −6.91175 + 1.50356i −0.325101 + 0.0707214i
\(453\) 0.156273 0.286192i 0.00734234 0.0134465i
\(454\) −3.11972 + 21.6981i −0.146416 + 1.01834i
\(455\) 0.243532 0.278062i 0.0114170 0.0130358i
\(456\) −1.15181 + 0.165605i −0.0539384 + 0.00775517i
\(457\) −8.65573 + 39.7898i −0.404898 + 1.86129i 0.0954083 + 0.995438i \(0.469584\pi\)
−0.500306 + 0.865848i \(0.666779\pi\)
\(458\) 3.89913 0.278871i 0.182194 0.0130308i
\(459\) 3.22739 0.150642
\(460\) −8.83678 + 6.07547i −0.412017 + 0.283270i
\(461\) 26.9244 1.25399 0.626997 0.779021i \(-0.284284\pi\)
0.626997 + 0.779021i \(0.284284\pi\)
\(462\) −6.27356 + 0.448694i −0.291872 + 0.0208751i
\(463\) −4.27999 + 19.6748i −0.198908 + 0.914365i 0.764143 + 0.645047i \(0.223162\pi\)
−0.963051 + 0.269318i \(0.913202\pi\)
\(464\) −2.45088 + 0.352383i −0.113779 + 0.0163590i
\(465\) 14.5612 0.963967i 0.675258 0.0447029i
\(466\) −0.372343 + 2.58970i −0.0172485 + 0.119966i
\(467\) 0.701211 1.28417i 0.0324482 0.0594244i −0.860952 0.508686i \(-0.830131\pi\)
0.893400 + 0.449262i \(0.148313\pi\)
\(468\) 0.116718 0.0253904i 0.00539528 0.00117367i
\(469\) 18.2012 + 8.31220i 0.840452 + 0.383822i
\(470\) −1.45470 10.5126i −0.0671005 0.484908i
\(471\) −12.2014 + 10.5726i −0.562211 + 0.487159i
\(472\) 0.0678111 0.948123i 0.00312126 0.0436409i
\(473\) 19.3547 10.5685i 0.889932 0.485940i
\(474\) 4.88543 10.6976i 0.224395 0.491357i
\(475\) −5.59963 + 1.57998i −0.256929 + 0.0724947i
\(476\) −4.28547 + 1.25833i −0.196424 + 0.0576753i
\(477\) 2.97396 + 3.97275i 0.136168 + 0.181900i
\(478\) 2.95615 + 1.10259i 0.135211 + 0.0504312i
\(479\) −2.03278 14.1383i −0.0928801 0.645995i −0.982078 0.188473i \(-0.939646\pi\)
0.889198 0.457522i \(-0.151263\pi\)
\(480\) −1.21885 + 1.87467i −0.0556328 + 0.0855667i
\(481\) −0.0695366 0.0602538i −0.00317060 0.00274734i
\(482\) −3.65639 + 3.65639i −0.166544 + 0.166544i
\(483\) 5.93286 2.97496i 0.269954 0.135365i
\(484\) 9.65543i 0.438883i
\(485\) 14.9084 + 27.6498i 0.676957 + 1.25551i
\(486\) −0.841254 + 0.540641i −0.0381600 + 0.0245240i
\(487\) −5.21736 + 6.96958i −0.236421 + 0.315822i −0.903023 0.429592i \(-0.858657\pi\)
0.666602 + 0.745414i \(0.267748\pi\)
\(488\) 4.45835 11.9533i 0.201820 0.541100i
\(489\) −1.63901 0.235655i −0.0741188 0.0106567i
\(490\) −0.871167 + 11.3366i −0.0393553 + 0.512134i
\(491\) 19.6322 + 12.6168i 0.885988 + 0.569390i 0.902604 0.430472i \(-0.141653\pi\)
−0.0166160 + 0.999862i \(0.505289\pi\)
\(492\) 2.47276 0.922290i 0.111480 0.0415800i
\(493\) −3.82981 7.01378i −0.172486 0.315885i
\(494\) −0.0910228 0.105046i −0.00409531 0.00472624i
\(495\) −9.22168 4.27056i −0.414484 0.191947i
\(496\) −6.26184 1.83864i −0.281165 0.0825575i
\(497\) 3.81892 + 10.2389i 0.171302 + 0.459278i
\(498\) 0.311037 + 1.42981i 0.0139379 + 0.0640715i
\(499\) −2.94846 10.0415i −0.131991 0.449520i 0.866801 0.498654i \(-0.166172\pi\)
−0.998792 + 0.0491337i \(0.984354\pi\)
\(500\) −4.80544 + 10.0949i −0.214906 + 0.451459i
\(501\) 0.974073 + 2.13292i 0.0435184 + 0.0952919i
\(502\) −23.7239 17.7595i −1.05885 0.792646i
\(503\) −38.0402 8.27515i −1.69613 0.368971i −0.742475 0.669873i \(-0.766348\pi\)
−0.953655 + 0.300903i \(0.902712\pi\)
\(504\) 0.906262 1.04588i 0.0403681 0.0465873i
\(505\) 6.59673 2.97051i 0.293551 0.132186i
\(506\) 8.35510 + 20.1312i 0.371430 + 0.894943i
\(507\) −9.18230 9.18230i −0.407800 0.407800i
\(508\) −1.15751 16.1841i −0.0513561 0.718052i
\(509\) 3.02734 + 4.71063i 0.134184 + 0.208795i 0.901843 0.432064i \(-0.142215\pi\)
−0.767658 + 0.640859i \(0.778578\pi\)
\(510\) −7.04352 1.57133i −0.311892 0.0695797i
\(511\) −14.0254 + 6.40517i −0.620446 + 0.283348i
\(512\) 0.800541 0.599278i 0.0353793 0.0264846i
\(513\) 1.02131 + 0.557680i 0.0450921 + 0.0246222i
\(514\) −4.86124 + 7.56424i −0.214420 + 0.333644i
\(515\) 19.9652 19.7548i 0.879770 0.870502i
\(516\) −1.36701 + 4.65561i −0.0601793 + 0.204952i
\(517\) −21.5155 1.53882i −0.946250 0.0676772i
\(518\) −1.06330 0.0760486i −0.0467187 0.00334138i
\(519\) −0.745211 + 2.53796i −0.0327111 + 0.111404i
\(520\) −0.267089 0.00141427i −0.0117126 6.20196e-5i
\(521\) 11.7241 18.2430i 0.513640 0.799240i −0.483458 0.875368i \(-0.660619\pi\)
0.997098 + 0.0761276i \(0.0242556\pi\)
\(522\) 2.17320 + 1.18666i 0.0951185 + 0.0519386i
\(523\) −1.03701 + 0.776294i −0.0453451 + 0.0339450i −0.621710 0.783248i \(-0.713562\pi\)
0.576365 + 0.817193i \(0.304471\pi\)
\(524\) 10.6511 4.86418i 0.465295 0.212493i
\(525\) 3.80240 5.78111i 0.165950 0.252308i
\(526\) 4.11893 + 6.40917i 0.179594 + 0.279453i
\(527\) −1.50259 21.0089i −0.0654538 0.915164i
\(528\) 3.21368 + 3.21368i 0.139857 + 0.139857i
\(529\) −16.2861 16.2407i −0.708093 0.706119i
\(530\) −4.55621 10.1182i −0.197909 0.439505i
\(531\) −0.622475 + 0.718374i −0.0270131 + 0.0311748i
\(532\) −1.57358 0.342311i −0.0682233 0.0148411i
\(533\) 0.252363 + 0.188917i 0.0109311 + 0.00818289i
\(534\) −3.53222 7.73448i −0.152854 0.334704i
\(535\) −39.5557 21.8717i −1.71014 0.945597i
\(536\) −4.07348 13.8730i −0.175948 0.599223i
\(537\) −3.48708 16.0299i −0.150479 0.691740i
\(538\) 7.06366 + 18.9384i 0.304536 + 0.816492i
\(539\) 22.1735 + 6.51073i 0.955081 + 0.280437i
\(540\) 2.09919 0.770321i 0.0903348 0.0331493i
\(541\) 19.4598 + 22.4578i 0.836642 + 0.965537i 0.999778 0.0210669i \(-0.00670629\pi\)
−0.163136 + 0.986604i \(0.552161\pi\)
\(542\) 8.27537 + 15.1552i 0.355457 + 0.650972i
\(543\) −0.219176 + 0.0817484i −0.00940574 + 0.00350816i
\(544\) 2.71505 + 1.74486i 0.116407 + 0.0748102i
\(545\) 8.26340 7.08402i 0.353965 0.303446i
\(546\) 0.163621 + 0.0235251i 0.00700233 + 0.00100678i
\(547\) −5.70466 + 15.2948i −0.243914 + 0.653958i −1.00000 0.000514350i \(-0.999836\pi\)
0.756086 + 0.654472i \(0.227109\pi\)
\(548\) −2.56521 + 3.42672i −0.109580 + 0.146382i
\(549\) −10.7324 + 6.89732i −0.458049 + 0.294370i
\(550\) 18.0464 + 13.8099i 0.769499 + 0.588858i
\(551\) 2.88130i 0.122747i
\(552\) −4.43205 1.83219i −0.188641 0.0779833i
\(553\) 11.5083 11.5083i 0.489382 0.489382i
\(554\) −7.48285 6.48393i −0.317916 0.275476i
\(555\) −1.44406 0.938879i −0.0612967 0.0398532i
\(556\) −2.85829 19.8799i −0.121219 0.843094i
\(557\) 21.5457 + 8.03613i 0.912921 + 0.340502i 0.761649 0.647990i \(-0.224390\pi\)
0.151272 + 0.988492i \(0.451663\pi\)
\(558\) 3.91101 + 5.22449i 0.165566 + 0.221170i
\(559\) −0.556101 + 0.163286i −0.0235206 + 0.00690626i
\(560\) −2.48706 + 1.84132i −0.105097 + 0.0778099i
\(561\) −6.09328 + 13.3424i −0.257258 + 0.563317i
\(562\) −5.16072 + 2.81797i −0.217692 + 0.118869i
\(563\) 1.53598 21.4758i 0.0647337 0.905096i −0.856515 0.516122i \(-0.827375\pi\)
0.921249 0.388974i \(-0.127170\pi\)
\(564\) 3.58691 3.10807i 0.151036 0.130873i
\(565\) −12.6115 9.54544i −0.530568 0.401580i
\(566\) 20.4153 + 9.32337i 0.858120 + 0.391890i
\(567\) −1.35227 + 0.294169i −0.0567902 + 0.0123539i
\(568\) 3.78437 6.93056i 0.158789 0.290800i
\(569\) 2.05603 14.3000i 0.0861931 0.599486i −0.900249 0.435376i \(-0.856616\pi\)
0.986442 0.164110i \(-0.0524753\pi\)
\(570\) −1.95742 1.71434i −0.0819872 0.0718059i
\(571\) −45.3962 + 6.52699i −1.89977 + 0.273146i −0.989903 0.141748i \(-0.954728\pi\)
−0.909870 + 0.414894i \(0.863819\pi\)
\(572\) −0.115395 + 0.530462i −0.00482491 + 0.0221797i
\(573\) 5.81432 0.415848i 0.242897 0.0173723i
\(574\) 3.65233 0.152445
\(575\) −23.1745 6.15974i −0.966444 0.256879i
\(576\) −1.00000 −0.0416667
\(577\) −2.18620 + 0.156360i −0.0910127 + 0.00650935i −0.116771 0.993159i \(-0.537254\pi\)
0.0257586 + 0.999668i \(0.491800\pi\)
\(578\) 1.39952 6.43348i 0.0582123 0.267597i
\(579\) 2.33704 0.336016i 0.0971242 0.0139644i
\(580\) −4.16509 3.64786i −0.172946 0.151469i
\(581\) −0.288187 + 2.00439i −0.0119560 + 0.0831560i
\(582\) −6.73264 + 12.3299i −0.279077 + 0.511091i
\(583\) −22.0386 + 4.79421i −0.912747 + 0.198556i
\(584\) 10.1347 + 4.62835i 0.419376 + 0.191522i
\(585\) 0.212968 + 0.161193i 0.00880516 + 0.00666450i
\(586\) −14.0373 + 12.1634i −0.579876 + 0.502465i
\(587\) −1.78627 + 24.9754i −0.0737274 + 1.03084i 0.817098 + 0.576498i \(0.195581\pi\)
−0.890826 + 0.454345i \(0.849873\pi\)
\(588\) −4.46284 + 2.43689i −0.184044 + 0.100496i
\(589\) 3.15476 6.90796i 0.129990 0.284638i
\(590\) 1.70826 1.26473i 0.0703278 0.0520680i
\(591\) −2.72727 + 0.800799i −0.112185 + 0.0329405i
\(592\) 0.461622 + 0.616655i 0.0189725 + 0.0253444i
\(593\) −17.8558 6.65986i −0.733249 0.273488i −0.0450249 0.998986i \(-0.514337\pi\)
−0.688224 + 0.725498i \(0.741609\pi\)
\(594\) −0.646796 4.49856i −0.0265384 0.184578i
\(595\) −8.37301 5.44387i −0.343260 0.223177i
\(596\) −13.2109 11.4473i −0.541139 0.468899i
\(597\) 1.18032 1.18032i 0.0483075 0.0483075i
\(598\) −0.102105 0.563677i −0.00417538 0.0230505i
\(599\) 13.2826i 0.542713i 0.962479 + 0.271357i \(0.0874723\pi\)
−0.962479 + 0.271357i \(0.912528\pi\)
\(600\) −4.95637 + 0.659124i −0.202343 + 0.0269086i
\(601\) 34.9040 22.4315i 1.42376 0.914998i 0.423808 0.905752i \(-0.360693\pi\)
0.999957 0.00924582i \(-0.00294308\pi\)
\(602\) −4.02409 + 5.37555i −0.164010 + 0.219091i
\(603\) −5.05279 + 13.5471i −0.205766 + 0.551679i
\(604\) −0.322759 0.0464058i −0.0131329 0.00188823i
\(605\) 16.3914 14.0520i 0.666406 0.571294i
\(606\) 2.72184 + 1.74922i 0.110567 + 0.0710571i
\(607\) −33.9492 + 12.6624i −1.37795 + 0.513950i −0.925808 0.377993i \(-0.876614\pi\)
−0.452146 + 0.891944i \(0.649342\pi\)
\(608\) 0.557680 + 1.02131i 0.0226169 + 0.0414198i
\(609\) 2.24398 + 2.58969i 0.0909305 + 0.104939i
\(610\) 26.7808 9.82750i 1.08432 0.397904i
\(611\) 0.543953 + 0.159719i 0.0220060 + 0.00646154i
\(612\) −1.12786 3.02390i −0.0455909 0.122234i
\(613\) −6.54810 30.1011i −0.264475 1.21577i −0.897280 0.441462i \(-0.854460\pi\)
0.632805 0.774311i \(-0.281903\pi\)
\(614\) 4.58401 + 15.6117i 0.184996 + 0.630037i
\(615\) 5.16442 + 2.85559i 0.208250 + 0.115149i
\(616\) 2.61279 + 5.72121i 0.105272 + 0.230514i
\(617\) −31.9161 23.8921i −1.28489 0.961860i −0.999995 0.00330313i \(-0.998949\pi\)
−0.284900 0.958557i \(-0.591961\pi\)
\(618\) 12.2737 + 2.66998i 0.493720 + 0.107402i
\(619\) 29.5497 34.1021i 1.18770 1.37068i 0.275313 0.961355i \(-0.411219\pi\)
0.912388 0.409326i \(-0.134236\pi\)
\(620\) −5.99179 13.3062i −0.240636 0.534390i
\(621\) 2.45005 + 4.12277i 0.0983170 + 0.165441i
\(622\) −13.5076 13.5076i −0.541605 0.541605i
\(623\) −0.839457 11.7371i −0.0336321 0.470239i
\(624\) −0.0645782 0.100486i −0.00258520 0.00402265i
\(625\) −24.1311 + 6.53372i −0.965244 + 0.261349i
\(626\) 19.1673 8.75340i 0.766078 0.349856i
\(627\) −4.23374 + 3.16934i −0.169079 + 0.126571i
\(628\) 14.1699 + 7.73737i 0.565442 + 0.308755i
\(629\) −1.34406 + 2.09140i −0.0535912 + 0.0833895i
\(630\) 3.09445 + 0.0163854i 0.123286 + 0.000652812i
\(631\) −1.19686 + 4.07614i −0.0476464 + 0.162269i −0.979880 0.199589i \(-0.936039\pi\)
0.932233 + 0.361858i \(0.117857\pi\)
\(632\) −11.7304 0.838974i −0.466610 0.0333726i
\(633\) −26.0499 1.86313i −1.03539 0.0740527i
\(634\) −4.62257 + 15.7430i −0.183586 + 0.625235i
\(635\) 25.7901 25.5184i 1.02345 1.01267i
\(636\) 2.68297 4.17479i 0.106387 0.165541i
\(637\) −0.533075 0.291081i −0.0211212 0.0115331i
\(638\) −9.00877 + 6.74388i −0.356660 + 0.266993i
\(639\) −7.18288 + 3.28031i −0.284150 + 0.129767i
\(640\) 2.18242 + 0.486873i 0.0862677 + 0.0192454i
\(641\) 3.21254 + 4.99880i 0.126888 + 0.197441i 0.898885 0.438185i \(-0.144378\pi\)
−0.771997 + 0.635626i \(0.780742\pi\)
\(642\) −1.44205 20.1625i −0.0569131 0.795749i
\(643\) −5.99603 5.99603i −0.236460 0.236460i 0.578922 0.815383i \(-0.303473\pi\)
−0.815383 + 0.578922i \(0.803473\pi\)
\(644\) −4.86070 4.51915i −0.191539 0.178079i
\(645\) −9.89300 + 4.45483i −0.389537 + 0.175409i
\(646\) −2.45937 + 2.83827i −0.0967627 + 0.111670i
\(647\) 34.3188 + 7.46560i 1.34921 + 0.293503i 0.828385 0.560159i \(-0.189260\pi\)
0.520827 + 0.853662i \(0.325624\pi\)
\(648\) 0.800541 + 0.599278i 0.0314482 + 0.0235419i
\(649\) −1.79462 3.92966i −0.0704449 0.154253i
\(650\) −0.386306 0.455479i −0.0151522 0.0178653i
\(651\) 2.54450 + 8.66577i 0.0997268 + 0.339638i
\(652\) 0.351980 + 1.61803i 0.0137846 + 0.0633668i
\(653\) −15.7376 42.1941i −0.615860 1.65118i −0.750956 0.660352i \(-0.770407\pi\)
0.135096 0.990832i \(-0.456866\pi\)
\(654\) 4.67042 + 1.37136i 0.182628 + 0.0536244i
\(655\) 23.7586 + 11.0026i 0.928326 + 0.429907i
\(656\) −1.72828 1.99454i −0.0674779 0.0778737i
\(657\) −5.33955 9.77866i −0.208316 0.381502i
\(658\) 6.15408 2.29535i 0.239911 0.0894822i
\(659\) 19.6946 + 12.6570i 0.767193 + 0.493045i 0.864761 0.502184i \(-0.167470\pi\)
−0.0975679 + 0.995229i \(0.531106\pi\)
\(660\) −0.778651 + 10.1327i −0.0303089 + 0.394413i
\(661\) 35.8609 + 5.15603i 1.39483 + 0.200546i 0.798404 0.602122i \(-0.205678\pi\)
0.596425 + 0.802669i \(0.296587\pi\)
\(662\) −7.37313 + 19.7681i −0.286565 + 0.768310i
\(663\) 0.231024 0.308612i 0.00897223 0.0119855i
\(664\) 1.23097 0.791095i 0.0477708 0.0307004i
\(665\) −1.70898 3.16955i −0.0662713 0.122910i
\(666\) 0.770297i 0.0298484i
\(667\) 6.05225 10.2168i 0.234344 0.395595i
\(668\) 1.65804 1.65804i 0.0641514 0.0641514i
\(669\) 4.15543 + 3.60070i 0.160658 + 0.139211i
\(670\) 17.6230 27.1053i 0.680836 1.04717i
\(671\) −8.25161 57.3912i −0.318550 2.21556i
\(672\) −1.29664 0.483624i −0.0500192 0.0186562i
\(673\) 0.337533 + 0.450892i 0.0130110 + 0.0173806i 0.807000 0.590552i \(-0.201090\pi\)
−0.793989 + 0.607933i \(0.791999\pi\)
\(674\) −21.5587 + 6.33021i −0.830410 + 0.243830i
\(675\) 4.36277 + 2.44258i 0.167923 + 0.0940151i
\(676\) −5.39447 + 11.8122i −0.207480 + 0.454317i
\(677\) −32.8835 + 17.9558i −1.26382 + 0.690096i −0.964506 0.264060i \(-0.914938\pi\)
−0.299310 + 0.954156i \(0.596757\pi\)
\(678\) 0.504610 7.05537i 0.0193794 0.270960i
\(679\) −14.6929 + 12.7314i −0.563861 + 0.488588i
\(680\) 0.989201 + 7.14855i 0.0379341 + 0.274134i
\(681\) −19.9403 9.10641i −0.764112 0.348958i
\(682\) −28.9826 + 6.30478i −1.10980 + 0.241423i
\(683\) 5.37920 9.85128i 0.205830 0.376949i −0.754289 0.656543i \(-0.772018\pi\)
0.960118 + 0.279594i \(0.0901999\pi\)
\(684\) 0.165605 1.15181i 0.00633207 0.0440405i
\(685\) −9.55059 + 0.632261i −0.364909 + 0.0241574i
\(686\) −16.5540 + 2.38010i −0.632033 + 0.0908726i
\(687\) −0.830936 + 3.81975i −0.0317022 + 0.145733i
\(688\) 4.83979 0.346149i 0.184515 0.0131968i
\(689\) 0.592768 0.0225827
\(690\) −3.33976 10.1905i −0.127143 0.387945i
\(691\) 7.33264 0.278947 0.139473 0.990226i \(-0.455459\pi\)
0.139473 + 0.990226i \(0.455459\pi\)
\(692\) 2.63836 0.188699i 0.100295 0.00717327i
\(693\) 1.33695 6.14585i 0.0507864 0.233461i
\(694\) 23.2568 3.34382i 0.882816 0.126930i
\(695\) 29.5890 33.7844i 1.12238 1.28152i
\(696\) 0.352383 2.45088i 0.0133570 0.0929002i
\(697\) 4.08204 7.47571i 0.154618 0.283163i
\(698\) 5.28319 1.14929i 0.199972 0.0435012i
\(699\) −2.37990 1.08686i −0.0900161 0.0411090i
\(700\) −6.74541 1.54237i −0.254953 0.0582959i
\(701\) −30.4455 + 26.3812i −1.14991 + 0.996402i −0.149939 + 0.988695i \(0.547908\pi\)
−0.999970 + 0.00770716i \(0.997547\pi\)
\(702\) −0.00852129 + 0.119143i −0.000321615 + 0.00449677i
\(703\) −0.786716 + 0.429579i −0.0296715 + 0.0162019i
\(704\) 1.88799 4.13412i 0.0711562 0.155810i
\(705\) 10.4966 + 1.56595i 0.395323 + 0.0589771i
\(706\) 23.9325 7.02722i 0.900712 0.264473i
\(707\) 2.68329 + 3.58446i 0.100916 + 0.134807i
\(708\) 0.890613 + 0.332181i 0.0334713 + 0.0124841i
\(709\) 1.11198 + 7.73396i 0.0417611 + 0.290455i 0.999990 + 0.00445288i \(0.00141740\pi\)
−0.958229 + 0.286002i \(0.907674\pi\)
\(710\) 17.2732 3.66186i 0.648250 0.137427i
\(711\) 8.88789 + 7.70140i 0.333322 + 0.288825i
\(712\) −6.01244 + 6.01244i −0.225326 + 0.225326i
\(713\) 25.6968 17.8682i 0.962354 0.669170i
\(714\) 4.46639i 0.167150i
\(715\) −1.06847 + 0.576106i −0.0399586 + 0.0215452i
\(716\) −13.8006 + 8.86909i −0.515751 + 0.331453i
\(717\) −1.89077 + 2.52577i −0.0706120 + 0.0943266i
\(718\) −0.141809 + 0.380205i −0.00529227 + 0.0141891i
\(719\) −40.9483 5.88748i −1.52711 0.219566i −0.672996 0.739646i \(-0.734993\pi\)
−0.854118 + 0.520080i \(0.825902\pi\)
\(720\) −1.45534 1.69764i −0.0542375 0.0632672i
\(721\) 14.6234 + 9.39786i 0.544602 + 0.349995i
\(722\) 16.5333 6.16661i 0.615307 0.229498i
\(723\) −2.47815 4.53840i −0.0921636 0.168785i
\(724\) 0.153188 + 0.176789i 0.00569320 + 0.00657030i
\(725\) 0.131107 12.3797i 0.00486920 0.459771i
\(726\) 9.26432 + 2.72025i 0.343831 + 0.100958i
\(727\) −2.88554 7.73645i −0.107019 0.286929i 0.872392 0.488808i \(-0.162568\pi\)
−0.979411 + 0.201879i \(0.935295\pi\)
\(728\) −0.0351378 0.161526i −0.00130229 0.00598655i
\(729\) −0.281733 0.959493i −0.0104345 0.0355368i
\(730\) 6.89218 + 23.9408i 0.255091 + 0.886090i
\(731\) 6.50532 + 14.2447i 0.240608 + 0.526858i
\(732\) 10.2130 + 7.64538i 0.377485 + 0.282582i
\(733\) −17.6317 3.83554i −0.651241 0.141669i −0.125205 0.992131i \(-0.539959\pi\)
−0.526036 + 0.850462i \(0.676322\pi\)
\(734\) 7.37184 8.50756i 0.272100 0.314020i
\(735\) −10.6319 4.02976i −0.392165 0.148640i
\(736\) −0.167829 + 4.79289i −0.00618625 + 0.176668i
\(737\) −46.4655 46.4655i −1.71158 1.71158i
\(738\) 0.188275 + 2.63243i 0.00693050 + 0.0969011i
\(739\) 18.2046 + 28.3269i 0.669668 + 1.04202i 0.995329 + 0.0965368i \(0.0307765\pi\)
−0.325662 + 0.945486i \(0.605587\pi\)
\(740\) −0.375037 + 1.68111i −0.0137866 + 0.0617989i
\(741\) 0.126435 0.0577409i 0.00464470 0.00212116i
\(742\) 5.49789 4.11567i 0.201834 0.151091i
\(743\) −9.99610 5.45829i −0.366722 0.200245i 0.285313 0.958434i \(-0.407902\pi\)
−0.652034 + 0.758189i \(0.726084\pi\)
\(744\) 3.52833 5.49019i 0.129355 0.201280i
\(745\) 0.206970 39.0870i 0.00758279 1.43204i
\(746\) 3.47462 11.8335i 0.127215 0.433254i
\(747\) −1.45953 0.104387i −0.0534013 0.00381933i
\(748\) 14.6306 + 1.04640i 0.534946 + 0.0382601i
\(749\) 7.88122 26.8410i 0.287974 0.980748i
\(750\) −8.33217 7.45486i −0.304248 0.272213i
\(751\) −10.7969 + 16.8003i −0.393984 + 0.613050i −0.980414 0.196949i \(-0.936897\pi\)
0.586430 + 0.810000i \(0.300533\pi\)
\(752\) −4.16560 2.27459i −0.151904 0.0829458i
\(753\) 23.7239 17.7595i 0.864548 0.647193i
\(754\) 0.269034 0.122864i 0.00979765 0.00447444i
\(755\) −0.390946 0.615465i −0.0142280 0.0223991i
\(756\) 0.748193 + 1.16421i 0.0272115 + 0.0423419i
\(757\) −3.21564 44.9605i −0.116874 1.63412i −0.630561 0.776139i \(-0.717175\pi\)
0.513687 0.857978i \(-0.328279\pi\)
\(758\) −18.8518 18.8518i −0.684728 0.684728i
\(759\) −21.6697 + 2.34504i −0.786560 + 0.0851194i
\(760\) −0.922205 + 2.43310i −0.0334519 + 0.0882579i
\(761\) −34.5379 + 39.8588i −1.25200 + 1.44488i −0.404106 + 0.914712i \(0.632417\pi\)
−0.847892 + 0.530170i \(0.822128\pi\)
\(762\) 15.8546 + 3.44896i 0.574352 + 0.124943i
\(763\) 5.39265 + 4.03689i 0.195227 + 0.146145i
\(764\) −2.42152 5.30240i −0.0876077 0.191834i
\(765\) 3.49207 6.31552i 0.126256 0.228338i
\(766\) −0.908792 3.09506i −0.0328360 0.111829i
\(767\) 0.0241347 + 0.110946i 0.000871454 + 0.00400601i
\(768\) 0.349464 + 0.936950i 0.0126102 + 0.0338093i
\(769\) 13.5328 + 3.97358i 0.488004 + 0.143291i 0.516472 0.856304i \(-0.327245\pi\)
−0.0284687 + 0.999595i \(0.509063\pi\)
\(770\) −5.91003 + 12.7619i −0.212983 + 0.459907i
\(771\) −5.88826 6.79542i −0.212061 0.244731i
\(772\) −1.13154 2.07227i −0.0407251 0.0745825i
\(773\) −22.9052