Properties

Label 189.2.ba.a.101.12
Level $189$
Weight $2$
Character 189.101
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.ba (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 101.12
Character \(\chi\) \(=\) 189.101
Dual form 189.2.ba.a.131.12

$q$-expansion

\(f(q)\) \(=\) \(q+(0.00959490 - 0.0114348i) q^{2} +(-1.04544 - 1.38096i) q^{3} +(0.347258 + 1.96940i) q^{4} +(1.26073 - 1.05788i) q^{5} +(-0.0258218 - 0.00129578i) q^{6} +(1.81613 + 1.92397i) q^{7} +(0.0517058 + 0.0298524i) q^{8} +(-0.814097 + 2.88743i) q^{9} +O(q^{10})\) \(q+(0.00959490 - 0.0114348i) q^{2} +(-1.04544 - 1.38096i) q^{3} +(0.347258 + 1.96940i) q^{4} +(1.26073 - 1.05788i) q^{5} +(-0.0258218 - 0.00129578i) q^{6} +(1.81613 + 1.92397i) q^{7} +(0.0517058 + 0.0298524i) q^{8} +(-0.814097 + 2.88743i) q^{9} -0.0245663i q^{10} +(2.95219 - 3.51829i) q^{11} +(2.35662 - 2.53844i) q^{12} +(1.52751 - 4.19679i) q^{13} +(0.0394257 - 0.00230675i) q^{14} +(-2.77891 - 0.635065i) q^{15} +(-3.75751 + 1.36762i) q^{16} +3.77410 q^{17} +(0.0252059 + 0.0370136i) q^{18} +1.46832i q^{19} +(2.52118 + 2.11552i) q^{20} +(0.758259 - 4.51941i) q^{21} +(-0.0119048 - 0.0675152i) q^{22} +(-2.54129 + 6.98214i) q^{23} +(-0.0128306 - 0.102613i) q^{24} +(-0.397908 + 2.25665i) q^{25} +(-0.0333330 - 0.0577345i) q^{26} +(4.83851 - 1.89441i) q^{27} +(-3.15839 + 4.24480i) q^{28} +(-2.83246 - 7.78213i) q^{29} +(-0.0339251 + 0.0256827i) q^{30} +(-8.27481 + 1.45907i) q^{31} +(-0.0612550 + 0.168297i) q^{32} +(-7.94496 - 0.398690i) q^{33} +(0.0362121 - 0.0431559i) q^{34} +(4.32497 + 0.504358i) q^{35} +(-5.96919 - 0.600598i) q^{36} +(0.397320 - 0.688178i) q^{37} +(0.0167899 + 0.0140884i) q^{38} +(-7.39252 + 2.27808i) q^{39} +(0.0967671 - 0.0170627i) q^{40} +(-3.97658 - 1.44736i) q^{41} +(-0.0444029 - 0.0520338i) q^{42} +(-0.303215 + 1.71962i) q^{43} +(7.95407 + 4.59229i) q^{44} +(2.02819 + 4.50148i) q^{45} +(0.0554557 + 0.0960520i) q^{46} +(-0.286275 + 1.62355i) q^{47} +(5.81690 + 3.75920i) q^{48} +(-0.403318 + 6.98837i) q^{49} +(0.0219863 + 0.0262023i) q^{50} +(-3.94561 - 5.21188i) q^{51} +(8.79559 + 1.55090i) q^{52} +(-3.66888 - 2.11823i) q^{53} +(0.0247630 - 0.0735039i) q^{54} -7.55866i q^{55} +(0.0364696 + 0.153696i) q^{56} +(2.02769 - 1.53505i) q^{57} +(-0.116164 - 0.0422802i) q^{58} +(-10.8663 - 3.95501i) q^{59} +(0.285698 - 5.69330i) q^{60} +(2.96287 + 0.522435i) q^{61} +(-0.0627118 + 0.108620i) q^{62} +(-7.03383 + 3.67766i) q^{63} +(-3.99733 - 6.92357i) q^{64} +(-2.51392 - 6.90693i) q^{65} +(-0.0807900 + 0.0870233i) q^{66} +(-8.30643 + 6.96992i) q^{67} +(1.31059 + 7.43270i) q^{68} +(12.2988 - 3.79001i) q^{69} +(0.0472649 - 0.0446158i) q^{70} +(6.66808 - 3.84982i) q^{71} +(-0.128290 + 0.124994i) q^{72} +(13.7076 - 7.91406i) q^{73} +(-0.00405690 - 0.0111462i) q^{74} +(3.53233 - 1.80970i) q^{75} +(-2.89171 + 0.509886i) q^{76} +(12.1307 - 0.709749i) q^{77} +(-0.0448812 + 0.106390i) q^{78} +(1.22109 + 1.02462i) q^{79} +(-3.29043 + 5.69919i) q^{80} +(-7.67449 - 4.70130i) q^{81} +(-0.0547050 + 0.0315840i) q^{82} +(-4.61667 + 1.68033i) q^{83} +(9.16381 - 0.0760856i) q^{84} +(4.75812 - 3.99254i) q^{85} +(0.0167541 + 0.0199668i) q^{86} +(-7.78562 + 12.0473i) q^{87} +(0.257675 - 0.0937859i) q^{88} -7.18505 q^{89} +(0.0709336 + 0.0199994i) q^{90} +(10.8487 - 4.68306i) q^{91} +(-14.6331 - 2.58021i) q^{92} +(10.6658 + 9.90180i) q^{93} +(0.0158181 + 0.0188513i) q^{94} +(1.55330 + 1.85115i) q^{95} +(0.296449 - 0.0913539i) q^{96} +(1.56544 + 0.276029i) q^{97} +(0.0760405 + 0.0716645i) q^{98} +(7.75543 + 11.3885i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} - 18q^{6} - 6q^{7} - 18q^{8} + 3q^{9} + O(q^{10}) \) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} - 18q^{6} - 6q^{7} - 18q^{8} + 3q^{9} - 9q^{11} - 9q^{12} + 3q^{14} - 24q^{15} + 3q^{16} - 18q^{17} - 3q^{18} + 18q^{20} - 21q^{21} - 12q^{22} - 6q^{23} - 9q^{24} - 3q^{25} - 12q^{28} + 6q^{29} + 51q^{30} - 9q^{31} + 3q^{32} - 9q^{33} - 18q^{34} + 18q^{35} + 3q^{37} - 99q^{38} - 36q^{39} - 54q^{40} - 45q^{42} - 12q^{43} - 9q^{44} - 9q^{45} + 3q^{46} + 45q^{47} - 24q^{49} - 9q^{50} - 48q^{51} - 9q^{52} - 45q^{53} + 171q^{54} + 3q^{56} - 3q^{58} + 36q^{59} + 57q^{60} - 9q^{61} - 99q^{62} - 33q^{63} + 18q^{64} + 69q^{65} - 9q^{66} - 3q^{67} + 36q^{68} + 108q^{69} + 66q^{70} + 18q^{71} - 129q^{72} - 9q^{73} + 75q^{74} + 36q^{75} + 36q^{76} + 15q^{77} + 66q^{78} - 21q^{79} + 72q^{80} - 33q^{81} - 18q^{82} - 90q^{83} - 120q^{84} + 9q^{85} - 105q^{86} - 54q^{87} - 63q^{88} - 18q^{89} + 81q^{90} + 6q^{91} + 150q^{92} + 21q^{93} - 9q^{94} + 45q^{95} - 81q^{96} + 27q^{98} + 96q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.00959490 0.0114348i 0.00678462 0.00808559i −0.762641 0.646821i \(-0.776098\pi\)
0.769426 + 0.638736i \(0.220542\pi\)
\(3\) −1.04544 1.38096i −0.603587 0.797297i
\(4\) 0.347258 + 1.96940i 0.173629 + 0.984698i
\(5\) 1.26073 1.05788i 0.563815 0.473097i −0.315772 0.948835i \(-0.602263\pi\)
0.879587 + 0.475738i \(0.157819\pi\)
\(6\) −0.0258218 0.00129578i −0.0105417 0.000528999i
\(7\) 1.81613 + 1.92397i 0.686434 + 0.727192i
\(8\) 0.0517058 + 0.0298524i 0.0182808 + 0.0105544i
\(9\) −0.814097 + 2.88743i −0.271366 + 0.962476i
\(10\) 0.0245663i 0.00776856i
\(11\) 2.95219 3.51829i 0.890120 1.06080i −0.107659 0.994188i \(-0.534335\pi\)
0.997779 0.0666155i \(-0.0212201\pi\)
\(12\) 2.35662 2.53844i 0.680297 0.732785i
\(13\) 1.52751 4.19679i 0.423654 1.16398i −0.525946 0.850518i \(-0.676289\pi\)
0.949600 0.313463i \(-0.101489\pi\)
\(14\) 0.0394257 0.00230675i 0.0105370 0.000616504i
\(15\) −2.77891 0.635065i −0.717510 0.163973i
\(16\) −3.75751 + 1.36762i −0.939379 + 0.341906i
\(17\) 3.77410 0.915355 0.457677 0.889118i \(-0.348682\pi\)
0.457677 + 0.889118i \(0.348682\pi\)
\(18\) 0.0252059 + 0.0370136i 0.00594108 + 0.00872419i
\(19\) 1.46832i 0.336856i 0.985714 + 0.168428i \(0.0538690\pi\)
−0.985714 + 0.168428i \(0.946131\pi\)
\(20\) 2.52118 + 2.11552i 0.563752 + 0.473044i
\(21\) 0.758259 4.51941i 0.165466 0.986216i
\(22\) −0.0119048 0.0675152i −0.00253810 0.0143943i
\(23\) −2.54129 + 6.98214i −0.529896 + 1.45588i 0.329297 + 0.944226i \(0.393188\pi\)
−0.859193 + 0.511651i \(0.829034\pi\)
\(24\) −0.0128306 0.102613i −0.00261903 0.0209457i
\(25\) −0.397908 + 2.25665i −0.0795815 + 0.451329i
\(26\) −0.0333330 0.0577345i −0.00653714 0.0113227i
\(27\) 4.83851 1.89441i 0.931172 0.364579i
\(28\) −3.15839 + 4.24480i −0.596880 + 0.802192i
\(29\) −2.83246 7.78213i −0.525975 1.44511i −0.863771 0.503885i \(-0.831903\pi\)
0.337795 0.941220i \(-0.390319\pi\)
\(30\) −0.0339251 + 0.0256827i −0.00619385 + 0.00468900i
\(31\) −8.27481 + 1.45907i −1.48620 + 0.262057i −0.857052 0.515229i \(-0.827707\pi\)
−0.629147 + 0.777286i \(0.716596\pi\)
\(32\) −0.0612550 + 0.168297i −0.0108284 + 0.0297509i
\(33\) −7.94496 0.398690i −1.38304 0.0694030i
\(34\) 0.0362121 0.0431559i 0.00621033 0.00740118i
\(35\) 4.32497 + 0.504358i 0.731054 + 0.0852520i
\(36\) −5.96919 0.600598i −0.994865 0.100100i
\(37\) 0.397320 0.688178i 0.0653190 0.113136i −0.831516 0.555500i \(-0.812527\pi\)
0.896835 + 0.442364i \(0.145860\pi\)
\(38\) 0.0167899 + 0.0140884i 0.00272368 + 0.00228544i
\(39\) −7.39252 + 2.27808i −1.18375 + 0.364785i
\(40\) 0.0967671 0.0170627i 0.0153002 0.00269784i
\(41\) −3.97658 1.44736i −0.621037 0.226039i 0.0122884 0.999924i \(-0.496088\pi\)
−0.633326 + 0.773885i \(0.718311\pi\)
\(42\) −0.0444029 0.0520338i −0.00685151 0.00802898i
\(43\) −0.303215 + 1.71962i −0.0462399 + 0.262239i −0.999160 0.0409825i \(-0.986951\pi\)
0.952920 + 0.303222i \(0.0980623\pi\)
\(44\) 7.95407 + 4.59229i 1.19912 + 0.692313i
\(45\) 2.02819 + 4.50148i 0.302345 + 0.671041i
\(46\) 0.0554557 + 0.0960520i 0.00817649 + 0.0141621i
\(47\) −0.286275 + 1.62355i −0.0417575 + 0.236819i −0.998542 0.0539790i \(-0.982810\pi\)
0.956785 + 0.290798i \(0.0939207\pi\)
\(48\) 5.81690 + 3.75920i 0.839597 + 0.542594i
\(49\) −0.403318 + 6.98837i −0.0576169 + 0.998339i
\(50\) 0.0219863 + 0.0262023i 0.00310933 + 0.00370556i
\(51\) −3.94561 5.21188i −0.552496 0.729810i
\(52\) 8.79559 + 1.55090i 1.21973 + 0.215071i
\(53\) −3.66888 2.11823i −0.503959 0.290961i 0.226388 0.974037i \(-0.427308\pi\)
−0.730347 + 0.683076i \(0.760642\pi\)
\(54\) 0.0247630 0.0735039i 0.00336981 0.0100026i
\(55\) 7.55866i 1.01921i
\(56\) 0.0364696 + 0.153696i 0.00487346 + 0.0205385i
\(57\) 2.02769 1.53505i 0.268574 0.203322i
\(58\) −0.116164 0.0422802i −0.0152531 0.00555166i
\(59\) −10.8663 3.95501i −1.41467 0.514898i −0.482173 0.876076i \(-0.660152\pi\)
−0.932497 + 0.361178i \(0.882375\pi\)
\(60\) 0.285698 5.69330i 0.0368834 0.735001i
\(61\) 2.96287 + 0.522435i 0.379357 + 0.0668909i 0.360075 0.932923i \(-0.382751\pi\)
0.0192817 + 0.999814i \(0.493862\pi\)
\(62\) −0.0627118 + 0.108620i −0.00796441 + 0.0137948i
\(63\) −7.03383 + 3.67766i −0.886180 + 0.463341i
\(64\) −3.99733 6.92357i −0.499666 0.865447i
\(65\) −2.51392 6.90693i −0.311813 0.856700i
\(66\) −0.0807900 + 0.0870233i −0.00994456 + 0.0107118i
\(67\) −8.30643 + 6.96992i −1.01479 + 0.851512i −0.988964 0.148155i \(-0.952667\pi\)
−0.0258279 + 0.999666i \(0.508222\pi\)
\(68\) 1.31059 + 7.43270i 0.158932 + 0.901348i
\(69\) 12.2988 3.79001i 1.48061 0.456264i
\(70\) 0.0472649 0.0446158i 0.00564924 0.00533260i
\(71\) 6.66808 3.84982i 0.791355 0.456889i −0.0490844 0.998795i \(-0.515630\pi\)
0.840439 + 0.541906i \(0.182297\pi\)
\(72\) −0.128290 + 0.124994i −0.0151191 + 0.0147307i
\(73\) 13.7076 7.91406i 1.60435 0.926271i 0.613745 0.789504i \(-0.289662\pi\)
0.990603 0.136767i \(-0.0436712\pi\)
\(74\) −0.00405690 0.0111462i −0.000471605 0.00129573i
\(75\) 3.53233 1.80970i 0.407878 0.208966i
\(76\) −2.89171 + 0.509886i −0.331701 + 0.0584879i
\(77\) 12.1307 0.709749i 1.38242 0.0808833i
\(78\) −0.0448812 + 0.106390i −0.00508179 + 0.0120463i
\(79\) 1.22109 + 1.02462i 0.137384 + 0.115279i 0.708890 0.705319i \(-0.249196\pi\)
−0.571506 + 0.820598i \(0.693641\pi\)
\(80\) −3.29043 + 5.69919i −0.367881 + 0.637189i
\(81\) −7.67449 4.70130i −0.852721 0.522366i
\(82\) −0.0547050 + 0.0315840i −0.00604116 + 0.00348787i
\(83\) −4.61667 + 1.68033i −0.506745 + 0.184440i −0.582725 0.812669i \(-0.698014\pi\)
0.0759804 + 0.997109i \(0.475791\pi\)
\(84\) 9.16381 0.0760856i 0.999854 0.00830162i
\(85\) 4.75812 3.99254i 0.516091 0.433051i
\(86\) 0.0167541 + 0.0199668i 0.00180664 + 0.00215307i
\(87\) −7.78562 + 12.0473i −0.834706 + 1.29161i
\(88\) 0.257675 0.0937859i 0.0274682 0.00999761i
\(89\) −7.18505 −0.761614 −0.380807 0.924655i \(-0.624354\pi\)
−0.380807 + 0.924655i \(0.624354\pi\)
\(90\) 0.0709336 + 0.0199994i 0.00747705 + 0.00210812i
\(91\) 10.8487 4.68306i 1.13725 0.490918i
\(92\) −14.6331 2.58021i −1.52561 0.269005i
\(93\) 10.6658 + 9.90180i 1.10599 + 1.02677i
\(94\) 0.0158181 + 0.0188513i 0.00163151 + 0.00194436i
\(95\) 1.55330 + 1.85115i 0.159365 + 0.189924i
\(96\) 0.296449 0.0913539i 0.0302562 0.00932377i
\(97\) 1.56544 + 0.276029i 0.158946 + 0.0280265i 0.252555 0.967583i \(-0.418729\pi\)
−0.0936086 + 0.995609i \(0.529840\pi\)
\(98\) 0.0760405 + 0.0716645i 0.00768125 + 0.00723921i
\(99\) 7.75543 + 11.3885i 0.779450 + 1.14458i
\(100\) −4.58241 −0.458241
\(101\) 2.17178 0.790462i 0.216100 0.0786539i −0.231702 0.972787i \(-0.574429\pi\)
0.447802 + 0.894133i \(0.352207\pi\)
\(102\) −0.0974543 0.00489040i −0.00964942 0.000484222i
\(103\) −0.351554 0.418965i −0.0346396 0.0412819i 0.748447 0.663195i \(-0.230800\pi\)
−0.783086 + 0.621913i \(0.786356\pi\)
\(104\) 0.204265 0.171399i 0.0200299 0.0168070i
\(105\) −3.82502 6.49989i −0.373284 0.634324i
\(106\) −0.0594239 + 0.0216285i −0.00577176 + 0.00210075i
\(107\) −2.89299 + 1.67027i −0.279676 + 0.161471i −0.633277 0.773925i \(-0.718291\pi\)
0.353601 + 0.935397i \(0.384957\pi\)
\(108\) 5.41105 + 8.87110i 0.520679 + 0.853622i
\(109\) 1.92585 3.33567i 0.184463 0.319499i −0.758932 0.651169i \(-0.774279\pi\)
0.943395 + 0.331670i \(0.107612\pi\)
\(110\) −0.0864314 0.0725246i −0.00824091 0.00691495i
\(111\) −1.36572 + 0.170769i −0.129628 + 0.0162086i
\(112\) −9.45541 4.74556i −0.893453 0.448413i
\(113\) 4.52691 0.798216i 0.425856 0.0750899i 0.0433872 0.999058i \(-0.486185\pi\)
0.382469 + 0.923968i \(0.375074\pi\)
\(114\) 0.00190262 0.0379148i 0.000178196 0.00355104i
\(115\) 4.18237 + 11.4910i 0.390008 + 1.07154i
\(116\) 14.3425 8.28065i 1.33167 0.768839i
\(117\) 10.8744 + 7.82717i 1.00534 + 0.723622i
\(118\) −0.149485 + 0.0863054i −0.0137612 + 0.00794506i
\(119\) 6.85428 + 7.26126i 0.628330 + 0.665639i
\(120\) −0.124727 0.115793i −0.0113860 0.0105704i
\(121\) −1.75277 9.94044i −0.159343 0.903676i
\(122\) 0.0344024 0.0288670i 0.00311464 0.00261350i
\(123\) 2.15855 + 7.00462i 0.194630 + 0.631586i
\(124\) −5.74698 15.7897i −0.516094 1.41796i
\(125\) 6.00001 + 10.3923i 0.536657 + 0.929518i
\(126\) −0.0254358 + 0.115717i −0.00226600 + 0.0103089i
\(127\) 2.63202 4.55879i 0.233554 0.404527i −0.725298 0.688435i \(-0.758298\pi\)
0.958851 + 0.283908i \(0.0916312\pi\)
\(128\) −0.470277 0.0829224i −0.0415670 0.00732938i
\(129\) 2.69172 1.37904i 0.236993 0.121417i
\(130\) −0.103100 0.0375253i −0.00904246 0.00329119i
\(131\) −14.2240 5.17710i −1.24275 0.452325i −0.364807 0.931083i \(-0.618865\pi\)
−0.877947 + 0.478758i \(0.841087\pi\)
\(132\) −1.97377 15.7852i −0.171795 1.37393i
\(133\) −2.82500 + 2.66667i −0.244959 + 0.231229i
\(134\) 0.161858i 0.0139824i
\(135\) 4.09600 7.50689i 0.352528 0.646090i
\(136\) 0.195143 + 0.112666i 0.0167334 + 0.00966102i
\(137\) 3.51827 + 0.620365i 0.300586 + 0.0530014i 0.321907 0.946771i \(-0.395676\pi\)
−0.0213213 + 0.999773i \(0.506787\pi\)
\(138\) 0.0746682 0.176999i 0.00635618 0.0150671i
\(139\) −3.91305 4.66340i −0.331901 0.395544i 0.574124 0.818768i \(-0.305343\pi\)
−0.906025 + 0.423224i \(0.860898\pi\)
\(140\) 0.508600 + 8.69273i 0.0429846 + 0.734670i
\(141\) 2.54134 1.30199i 0.214019 0.109648i
\(142\) 0.0199578 0.113186i 0.00167482 0.00949839i
\(143\) −10.2560 17.7640i −0.857652 1.48550i
\(144\) −0.889933 11.9629i −0.0741611 0.996911i
\(145\) −11.8035 6.81476i −0.980228 0.565935i
\(146\) 0.0410273 0.232677i 0.00339544 0.0192565i
\(147\) 10.0723 6.74898i 0.830750 0.556646i
\(148\) 1.49327 + 0.543505i 0.122746 + 0.0446758i
\(149\) −19.9144 + 3.51144i −1.63145 + 0.287668i −0.913014 0.407928i \(-0.866252\pi\)
−0.718433 + 0.695596i \(0.755140\pi\)
\(150\) 0.0131988 0.0577552i 0.00107768 0.00471569i
\(151\) 14.6511 + 12.2937i 1.19229 + 1.00045i 0.999817 + 0.0191488i \(0.00609564\pi\)
0.192474 + 0.981302i \(0.438349\pi\)
\(152\) −0.0438328 + 0.0759207i −0.00355531 + 0.00615798i
\(153\) −3.07249 + 10.8975i −0.248396 + 0.881007i
\(154\) 0.108277 0.145521i 0.00872518 0.0117264i
\(155\) −8.88877 + 10.5932i −0.713963 + 0.850868i
\(156\) −7.05356 13.7677i −0.564737 1.10230i
\(157\) 5.43336 14.9280i 0.433630 1.19139i −0.509939 0.860211i \(-0.670332\pi\)
0.943569 0.331177i \(-0.107446\pi\)
\(158\) 0.0234325 0.00413178i 0.00186419 0.000328707i
\(159\) 0.910417 + 7.28106i 0.0722008 + 0.577425i
\(160\) 0.100811 + 0.276977i 0.00796983 + 0.0218969i
\(161\) −18.0488 + 7.79114i −1.42244 + 0.614028i
\(162\) −0.127394 + 0.0426475i −0.0100090 + 0.00335070i
\(163\) 8.71884 + 15.1015i 0.682912 + 1.18284i 0.974088 + 0.226169i \(0.0726202\pi\)
−0.291176 + 0.956670i \(0.594046\pi\)
\(164\) 1.46952 8.33406i 0.114750 0.650781i
\(165\) −10.4382 + 7.90215i −0.812613 + 0.615182i
\(166\) −0.0250823 + 0.0689130i −0.00194676 + 0.00534869i
\(167\) 1.64317 + 9.31890i 0.127153 + 0.721118i 0.980006 + 0.198968i \(0.0637589\pi\)
−0.852853 + 0.522150i \(0.825130\pi\)
\(168\) 0.174121 0.211044i 0.0134338 0.0162824i
\(169\) −5.32122 4.46503i −0.409325 0.343464i
\(170\) 0.0927159i 0.00711099i
\(171\) −4.23967 1.19536i −0.324216 0.0914111i
\(172\) −3.49190 −0.266255
\(173\) 1.42819 0.519819i 0.108583 0.0395211i −0.287157 0.957883i \(-0.592710\pi\)
0.395740 + 0.918362i \(0.370488\pi\)
\(174\) 0.0630555 + 0.204619i 0.00478023 + 0.0155121i
\(175\) −5.06437 + 3.33281i −0.382831 + 0.251937i
\(176\) −6.28122 + 17.2575i −0.473465 + 1.30083i
\(177\) 5.89838 + 19.1406i 0.443350 + 1.43870i
\(178\) −0.0689398 + 0.0821592i −0.00516726 + 0.00615810i
\(179\) 8.59347i 0.642306i 0.947027 + 0.321153i \(0.104070\pi\)
−0.947027 + 0.321153i \(0.895930\pi\)
\(180\) −8.16089 + 5.55748i −0.608277 + 0.414230i
\(181\) −9.18805 5.30472i −0.682942 0.394297i 0.118021 0.993011i \(-0.462345\pi\)
−0.800963 + 0.598714i \(0.795678\pi\)
\(182\) 0.0505422 0.168985i 0.00374644 0.0125260i
\(183\) −2.37605 4.63778i −0.175643 0.342835i
\(184\) −0.339833 + 0.285154i −0.0250528 + 0.0210218i
\(185\) −0.227095 1.28792i −0.0166964 0.0946898i
\(186\) 0.215562 0.0269536i 0.0158057 0.00197634i
\(187\) 11.1419 13.2784i 0.814775 0.971011i
\(188\) −3.29682 −0.240445
\(189\) 12.4322 + 5.86866i 0.904307 + 0.426882i
\(190\) 0.0360713 0.00261688
\(191\) 6.31992 7.53179i 0.457294 0.544981i −0.487295 0.873237i \(-0.662016\pi\)
0.944589 + 0.328256i \(0.106461\pi\)
\(192\) −5.38219 + 12.7583i −0.388426 + 0.920754i
\(193\) 3.38821 + 19.2155i 0.243889 + 1.38316i 0.823059 + 0.567955i \(0.192265\pi\)
−0.579171 + 0.815206i \(0.696623\pi\)
\(194\) 0.0181766 0.0152520i 0.00130500 0.00109503i
\(195\) −6.91004 + 10.6924i −0.494838 + 0.765701i
\(196\) −13.9029 + 1.63247i −0.993066 + 0.116605i
\(197\) −3.74738 2.16355i −0.266990 0.154147i 0.360529 0.932748i \(-0.382596\pi\)
−0.627519 + 0.778601i \(0.715930\pi\)
\(198\) 0.204637 + 0.0205898i 0.0145429 + 0.00146325i
\(199\) 1.69609i 0.120233i 0.998191 + 0.0601164i \(0.0191472\pi\)
−0.998191 + 0.0601164i \(0.980853\pi\)
\(200\) −0.0879404 + 0.104803i −0.00621832 + 0.00741071i
\(201\) 18.3091 + 4.18418i 1.29142 + 0.295130i
\(202\) 0.0117992 0.0324181i 0.000830191 0.00228093i
\(203\) 9.82845 19.5830i 0.689822 1.37445i
\(204\) 8.89412 9.58034i 0.622713 0.670758i
\(205\) −6.54451 + 2.38201i −0.457089 + 0.166367i
\(206\) −0.00816388 −0.000568805
\(207\) −18.0916 13.0219i −1.25745 0.905088i
\(208\) 17.8586i 1.23827i
\(209\) 5.16597 + 4.33477i 0.357338 + 0.299842i
\(210\) −0.111025 0.0186277i −0.00766147 0.00128543i
\(211\) 1.04647 + 5.93483i 0.0720420 + 0.408570i 0.999408 + 0.0344141i \(0.0109565\pi\)
−0.927366 + 0.374156i \(0.877932\pi\)
\(212\) 2.89758 7.96104i 0.199007 0.546767i
\(213\) −12.2875 5.18358i −0.841928 0.355173i
\(214\) −0.00865884 + 0.0491067i −0.000591906 + 0.00335687i
\(215\) 1.43687 + 2.48874i 0.0979939 + 0.169730i
\(216\) 0.306732 + 0.0464892i 0.0208705 + 0.00316319i
\(217\) −17.8354 13.2706i −1.21074 0.900868i
\(218\) −0.0196642 0.0540270i −0.00133183 0.00365917i
\(219\) −25.2595 10.6559i −1.70688 0.720058i
\(220\) 14.8860 2.62480i 1.00361 0.176964i
\(221\) 5.76497 15.8391i 0.387794 1.06546i
\(222\) −0.0111513 + 0.0172552i −0.000748423 + 0.00115809i
\(223\) −0.590154 + 0.703318i −0.0395196 + 0.0470976i −0.785442 0.618935i \(-0.787564\pi\)
0.745923 + 0.666033i \(0.232009\pi\)
\(224\) −0.435045 + 0.187796i −0.0290676 + 0.0125477i
\(225\) −6.19197 2.98606i −0.412798 0.199071i
\(226\) 0.0343078 0.0594229i 0.00228212 0.00395275i
\(227\) −10.2102 8.56739i −0.677676 0.568638i 0.237650 0.971351i \(-0.423623\pi\)
−0.915326 + 0.402713i \(0.868067\pi\)
\(228\) 3.72724 + 3.46027i 0.246843 + 0.229162i
\(229\) 12.1287 2.13862i 0.801488 0.141324i 0.242123 0.970246i \(-0.422156\pi\)
0.559365 + 0.828922i \(0.311045\pi\)
\(230\) 0.171526 + 0.0624303i 0.0113101 + 0.00411653i
\(231\) −13.6620 16.0099i −0.898896 1.05338i
\(232\) 0.0858601 0.486937i 0.00563699 0.0319690i
\(233\) 21.5947 + 12.4677i 1.41472 + 0.816788i 0.995828 0.0912481i \(-0.0290856\pi\)
0.418891 + 0.908037i \(0.362419\pi\)
\(234\) 0.193841 0.0492452i 0.0126718 0.00321926i
\(235\) 1.35660 + 2.34970i 0.0884947 + 0.153277i
\(236\) 4.01557 22.7734i 0.261391 1.48242i
\(237\) 0.138373 2.75746i 0.00898831 0.179116i
\(238\) 0.148797 0.00870590i 0.00964506 0.000564320i
\(239\) 7.34853 + 8.75764i 0.475337 + 0.566485i 0.949425 0.313993i \(-0.101667\pi\)
−0.474088 + 0.880477i \(0.657222\pi\)
\(240\) 11.3103 1.41423i 0.730077 0.0912882i
\(241\) −6.05886 1.06834i −0.390286 0.0688179i −0.0249379 0.999689i \(-0.507939\pi\)
−0.365348 + 0.930871i \(0.619050\pi\)
\(242\) −0.130484 0.0753350i −0.00838784 0.00484272i
\(243\) 1.53095 + 15.5131i 0.0982103 + 0.995166i
\(244\) 6.01649i 0.385166i
\(245\) 6.88436 + 9.23710i 0.439826 + 0.590137i
\(246\) 0.100807 + 0.0425262i 0.00642723 + 0.00271137i
\(247\) 6.16224 + 2.24287i 0.392094 + 0.142711i
\(248\) −0.471412 0.171580i −0.0299347 0.0108953i
\(249\) 7.14693 + 4.61874i 0.452918 + 0.292701i
\(250\) 0.176403 + 0.0311046i 0.0111567 + 0.00196723i
\(251\) 6.31801 10.9431i 0.398789 0.690724i −0.594787 0.803883i \(-0.702764\pi\)
0.993577 + 0.113160i \(0.0360971\pi\)
\(252\) −9.68532 12.5753i −0.610118 0.792170i
\(253\) 17.0628 + 29.5536i 1.07273 + 1.85802i
\(254\) −0.0268747 0.0738376i −0.00168627 0.00463298i
\(255\) −10.4879 2.39680i −0.656776 0.150093i
\(256\) 12.2431 10.2731i 0.765191 0.642072i
\(257\) −2.59847 14.7367i −0.162088 0.919247i −0.952016 0.306048i \(-0.900993\pi\)
0.789928 0.613200i \(-0.210118\pi\)
\(258\) 0.0100578 0.0440108i 0.000626173 0.00273999i
\(259\) 2.04562 0.485392i 0.127109 0.0301608i
\(260\) 12.7295 7.34939i 0.789451 0.455790i
\(261\) 24.7762 1.84313i 1.53361 0.114087i
\(262\) −0.195676 + 0.112974i −0.0120889 + 0.00697955i
\(263\) −5.44968 14.9729i −0.336042 0.923267i −0.986505 0.163730i \(-0.947648\pi\)
0.650463 0.759538i \(-0.274575\pi\)
\(264\) −0.398899 0.257790i −0.0245505 0.0158659i
\(265\) −6.86628 + 1.21071i −0.421792 + 0.0743734i
\(266\) 0.00338704 + 0.0578896i 0.000207673 + 0.00354944i
\(267\) 7.51156 + 9.92226i 0.459700 + 0.607232i
\(268\) −16.6110 13.9383i −1.01468 0.851417i
\(269\) −4.94336 + 8.56215i −0.301402 + 0.522044i −0.976454 0.215727i \(-0.930788\pi\)
0.675052 + 0.737770i \(0.264121\pi\)
\(270\) −0.0465387 0.118865i −0.00283225 0.00723387i
\(271\) 1.92889 1.11364i 0.117171 0.0676490i −0.440269 0.897866i \(-0.645117\pi\)
0.557440 + 0.830217i \(0.311784\pi\)
\(272\) −14.1812 + 5.16155i −0.859864 + 0.312965i
\(273\) −17.8088 10.0857i −1.07784 0.610414i
\(274\) 0.0408511 0.0342782i 0.00246791 0.00207082i
\(275\) 6.76483 + 8.06201i 0.407935 + 0.486158i
\(276\) 11.7349 + 22.9052i 0.706358 + 1.37873i
\(277\) 8.12965 2.95895i 0.488464 0.177786i −0.0860344 0.996292i \(-0.527420\pi\)
0.574498 + 0.818506i \(0.305197\pi\)
\(278\) −0.0908701 −0.00545003
\(279\) 2.52353 25.0808i 0.151080 1.50155i
\(280\) 0.208570 + 0.155189i 0.0124644 + 0.00927431i
\(281\) 29.4759 + 5.19740i 1.75839 + 0.310051i 0.957429 0.288670i \(-0.0932130\pi\)
0.800958 + 0.598721i \(0.204324\pi\)
\(282\) 0.00949591 0.0415520i 0.000565473 0.00247439i
\(283\) 6.29451 + 7.50150i 0.374170 + 0.445918i 0.919965 0.392001i \(-0.128217\pi\)
−0.545795 + 0.837918i \(0.683772\pi\)
\(284\) 9.89735 + 11.7952i 0.587300 + 0.699917i
\(285\) 0.932479 4.08032i 0.0552353 0.241698i
\(286\) −0.301532 0.0531682i −0.0178300 0.00314390i
\(287\) −4.43733 10.2794i −0.261927 0.606774i
\(288\) −0.436077 0.313879i −0.0256961 0.0184955i
\(289\) −2.75614 −0.162126
\(290\) −0.191178 + 0.0695833i −0.0112264 + 0.00408607i
\(291\) −1.25539 2.45038i −0.0735925 0.143644i
\(292\) 20.3460 + 24.2474i 1.19066 + 1.41897i
\(293\) −7.96197 + 6.68088i −0.465143 + 0.390301i −0.845019 0.534736i \(-0.820411\pi\)
0.379876 + 0.925037i \(0.375967\pi\)
\(294\) 0.0194698 0.179930i 0.00113550 0.0104937i
\(295\) −17.8834 + 6.50901i −1.04121 + 0.378969i
\(296\) 0.0410875 0.0237219i 0.00238816 0.00137881i
\(297\) 7.61916 22.6159i 0.442108 1.31231i
\(298\) −0.150924 + 0.261408i −0.00874278 + 0.0151429i
\(299\) 25.4208 + 21.3306i 1.47012 + 1.23358i
\(300\) 4.79065 + 6.32812i 0.276588 + 0.365354i
\(301\) −3.85917 + 2.53968i −0.222439 + 0.146385i
\(302\) 0.281152 0.0495747i 0.0161785 0.00285270i
\(303\) −3.36206 2.17275i −0.193146 0.124821i
\(304\) −2.00811 5.51724i −0.115173 0.316435i
\(305\) 4.28805 2.47571i 0.245533 0.141759i
\(306\) 0.0951295 + 0.139693i 0.00543819 + 0.00798572i
\(307\) −14.7821 + 8.53446i −0.843660 + 0.487087i −0.858507 0.512802i \(-0.828607\pi\)
0.0148465 + 0.999890i \(0.495274\pi\)
\(308\) 5.61024 + 23.6436i 0.319673 + 1.34722i
\(309\) −0.211045 + 0.923485i −0.0120059 + 0.0525352i
\(310\) 0.0358441 + 0.203282i 0.00203581 + 0.0115456i
\(311\) 25.4810 21.3811i 1.44489 1.21241i 0.508690 0.860950i \(-0.330130\pi\)
0.936203 0.351459i \(-0.114314\pi\)
\(312\) −0.450243 0.102894i −0.0254900 0.00582524i
\(313\) 0.334233 + 0.918298i 0.0188920 + 0.0519052i 0.948780 0.315937i \(-0.102319\pi\)
−0.929888 + 0.367842i \(0.880097\pi\)
\(314\) −0.118566 0.205362i −0.00669106 0.0115893i
\(315\) −4.97725 + 12.0775i −0.280436 + 0.680488i
\(316\) −1.59384 + 2.76062i −0.0896608 + 0.155297i
\(317\) −3.33535 0.588112i −0.187332 0.0330317i 0.0791950 0.996859i \(-0.474765\pi\)
−0.266527 + 0.963827i \(0.585876\pi\)
\(318\) 0.0919925 + 0.0594506i 0.00515868 + 0.00333382i
\(319\) −35.7417 13.0089i −2.00115 0.728360i
\(320\) −12.3638 4.50007i −0.691159 0.251561i
\(321\) 5.33104 + 2.24893i 0.297549 + 0.125523i
\(322\) −0.0840863 + 0.281138i −0.00468595 + 0.0156672i
\(323\) 5.54159i 0.308343i
\(324\) 6.59369 16.7467i 0.366316 0.930371i
\(325\) 8.86287 + 5.11698i 0.491624 + 0.283839i
\(326\) 0.256338 + 0.0451993i 0.0141972 + 0.00250336i
\(327\) −6.61979 + 0.827733i −0.366075 + 0.0457737i
\(328\) −0.162405 0.193547i −0.00896733 0.0106868i
\(329\) −3.64357 + 2.39779i −0.200877 + 0.132195i
\(330\) −0.00979435 + 0.195179i −0.000539161 + 0.0107442i
\(331\) 1.05543 5.98565i 0.0580117 0.329001i −0.941966 0.335709i \(-0.891024\pi\)
0.999978 + 0.00670803i \(0.00213525\pi\)
\(332\) −4.91240 8.50853i −0.269603 0.466967i
\(333\) 1.66361 + 1.70748i 0.0911652 + 0.0935691i
\(334\) 0.122325 + 0.0706246i 0.00669335 + 0.00386441i
\(335\) −3.09883 + 17.5744i −0.169307 + 0.960190i
\(336\) 3.33168 + 18.0188i 0.181758 + 0.983003i
\(337\) −16.0696 5.84885i −0.875366 0.318607i −0.135028 0.990842i \(-0.543112\pi\)
−0.740338 + 0.672235i \(0.765335\pi\)
\(338\) −0.102113 + 0.0180053i −0.00555422 + 0.000979359i
\(339\) −5.83493 5.41699i −0.316910 0.294210i
\(340\) 9.51518 + 7.98419i 0.516033 + 0.433003i
\(341\) −19.2954 + 33.4206i −1.04490 + 1.80983i
\(342\) −0.0543478 + 0.0370103i −0.00293879 + 0.00200129i
\(343\) −14.1779 + 11.9158i −0.765534 + 0.643395i
\(344\) −0.0670127 + 0.0798626i −0.00361308 + 0.00430590i
\(345\) 11.4961 17.7888i 0.618931 0.957719i
\(346\) 0.00775934 0.0213186i 0.000417144 0.00114610i
\(347\) 20.7567 3.65996i 1.11428 0.196477i 0.413950 0.910299i \(-0.364149\pi\)
0.700327 + 0.713822i \(0.253038\pi\)
\(348\) −26.4295 11.1495i −1.41677 0.597674i
\(349\) −2.22508 6.11336i −0.119106 0.327240i 0.865785 0.500416i \(-0.166819\pi\)
−0.984891 + 0.173175i \(0.944597\pi\)
\(350\) −0.0104823 + 0.0898878i −0.000560302 + 0.00480471i
\(351\) −0.559569 23.2000i −0.0298676 1.23832i
\(352\) 0.411279 + 0.712357i 0.0219213 + 0.0379687i
\(353\) −3.31542 + 18.8027i −0.176462 + 1.00077i 0.759980 + 0.649946i \(0.225209\pi\)
−0.936443 + 0.350821i \(0.885903\pi\)
\(354\) 0.275463 + 0.116206i 0.0146407 + 0.00617627i
\(355\) 4.33400 11.9076i 0.230025 0.631989i
\(356\) −2.49506 14.1502i −0.132238 0.749959i
\(357\) 2.86175 17.0567i 0.151460 0.902737i
\(358\) 0.0982642 + 0.0824534i 0.00519342 + 0.00435780i
\(359\) 20.1016i 1.06092i −0.847710 0.530460i \(-0.822019\pi\)
0.847710 0.530460i \(-0.177981\pi\)
\(360\) −0.0295106 + 0.293299i −0.00155535 + 0.0154582i
\(361\) 16.8440 0.886528
\(362\) −0.148817 + 0.0541648i −0.00782162 + 0.00284684i
\(363\) −11.8949 + 12.8127i −0.624322 + 0.672491i
\(364\) 12.9901 + 19.7391i 0.680865 + 1.03461i
\(365\) 8.90941 24.4784i 0.466340 1.28126i
\(366\) −0.0758299 0.0173295i −0.00396369 0.000905825i
\(367\) 0.397490 0.473710i 0.0207488 0.0247275i −0.755570 0.655068i \(-0.772640\pi\)
0.776319 + 0.630340i \(0.217085\pi\)
\(368\) 29.7110i 1.54880i
\(369\) 7.41646 10.3038i 0.386086 0.536394i
\(370\) −0.0169060 0.00976069i −0.000878902 0.000507434i
\(371\) −2.58777 10.9058i −0.134350 0.566201i
\(372\) −15.7968 + 24.4436i −0.819026 + 1.26734i
\(373\) 24.6870 20.7149i 1.27825 1.07258i 0.284764 0.958598i \(-0.408085\pi\)
0.993483 0.113979i \(-0.0363595\pi\)
\(374\) −0.0449298 0.254809i −0.00232326 0.0131759i
\(375\) 8.07871 19.1504i 0.417183 0.988920i
\(376\) −0.0632688 + 0.0754008i −0.00326284 + 0.00388850i
\(377\) −36.9866 −1.90491
\(378\) 0.186392 0.0858496i 0.00958697 0.00441563i
\(379\) 8.60323 0.441918 0.220959 0.975283i \(-0.429081\pi\)
0.220959 + 0.975283i \(0.429081\pi\)
\(380\) −3.10626 + 3.70190i −0.159348 + 0.189903i
\(381\) −9.04713 + 1.13124i −0.463498 + 0.0579554i
\(382\) −0.0254852 0.144534i −0.00130393 0.00739498i
\(383\) 9.30459 7.80747i 0.475442 0.398943i −0.373333 0.927697i \(-0.621785\pi\)
0.848775 + 0.528754i \(0.177341\pi\)
\(384\) 0.377135 + 0.736123i 0.0192456 + 0.0375651i
\(385\) 14.5426 13.7275i 0.741161 0.699620i
\(386\) 0.252234 + 0.145627i 0.0128384 + 0.00741224i
\(387\) −4.71843 2.27545i −0.239851 0.115668i
\(388\) 3.17883i 0.161380i
\(389\) −20.6789 + 24.6442i −1.04846 + 1.24951i −0.0809437 + 0.996719i \(0.525793\pi\)
−0.967521 + 0.252792i \(0.918651\pi\)
\(390\) 0.0559642 + 0.181607i 0.00283386 + 0.00919604i
\(391\) −9.59110 + 26.3513i −0.485043 + 1.33264i
\(392\) −0.229473 + 0.349299i −0.0115901 + 0.0176423i
\(393\) 7.72099 + 25.0551i 0.389472 + 1.26386i
\(394\) −0.0606954 + 0.0220913i −0.00305779 + 0.00111295i
\(395\) 2.62339 0.131997
\(396\) −19.7353 + 19.2283i −0.991735 + 0.966256i
\(397\) 11.5611i 0.580233i −0.956991 0.290116i \(-0.906306\pi\)
0.956991 0.290116i \(-0.0936940\pi\)
\(398\) 0.0193944 + 0.0162738i 0.000972153 + 0.000815733i
\(399\) 6.63594 + 1.11337i 0.332212 + 0.0557381i
\(400\) −1.59110 9.02357i −0.0795549 0.451179i
\(401\) −0.0353788 + 0.0972024i −0.00176673 + 0.00485406i −0.940573 0.339592i \(-0.889711\pi\)
0.938806 + 0.344446i \(0.111933\pi\)
\(402\) 0.223519 0.169213i 0.0111481 0.00843958i
\(403\) −6.51641 + 36.9564i −0.324606 + 1.84093i
\(404\) 2.31090 + 4.00259i 0.114971 + 0.199136i
\(405\) −14.6488 + 2.19161i −0.727907 + 0.108902i
\(406\) −0.129623 0.300282i −0.00643310 0.0149028i
\(407\) −1.24824 3.42952i −0.0618731 0.169995i
\(408\) −0.0484239 0.387270i −0.00239734 0.0191727i
\(409\) −3.57697 + 0.630716i −0.176870 + 0.0311869i −0.261381 0.965236i \(-0.584178\pi\)
0.0845117 + 0.996422i \(0.473067\pi\)
\(410\) −0.0355563 + 0.0976900i −0.00175600 + 0.00482457i
\(411\) −2.82145 5.50714i −0.139172 0.271647i
\(412\) 0.703029 0.837837i 0.0346357 0.0412773i
\(413\) −12.1253 28.0892i −0.596648 1.38218i
\(414\) −0.322490 + 0.0819286i −0.0158495 + 0.00402657i
\(415\) −4.04278 + 7.00230i −0.198452 + 0.343730i
\(416\) 0.612739 + 0.514149i 0.0300420 + 0.0252082i
\(417\) −2.34908 + 10.2791i −0.115035 + 0.503369i
\(418\) 0.0991340 0.0174800i 0.00484880 0.000854974i
\(419\) 37.3388 + 13.5902i 1.82412 + 0.663926i 0.994392 + 0.105761i \(0.0337279\pi\)
0.829730 + 0.558165i \(0.188494\pi\)
\(420\) 11.4726 9.79011i 0.559805 0.477709i
\(421\) −1.45892 + 8.27397i −0.0711036 + 0.403249i 0.928395 + 0.371594i \(0.121189\pi\)
−0.999499 + 0.0316544i \(0.989922\pi\)
\(422\) 0.0779040 + 0.0449779i 0.00379231 + 0.00218949i
\(423\) −4.45482 2.14832i −0.216601 0.104455i
\(424\) −0.126468 0.219049i −0.00614184 0.0106380i
\(425\) −1.50174 + 8.51682i −0.0728453 + 0.413126i
\(426\) −0.177171 + 0.0907690i −0.00858394 + 0.00439777i
\(427\) 4.37583 + 6.64929i 0.211761 + 0.321782i
\(428\) −4.29404 5.11744i −0.207560 0.247361i
\(429\) −13.8092 + 32.7344i −0.666715 + 1.58043i
\(430\) 0.0422447 + 0.00744889i 0.00203722 + 0.000359217i
\(431\) −4.45253 2.57067i −0.214471 0.123825i 0.388917 0.921273i \(-0.372849\pi\)
−0.603387 + 0.797448i \(0.706183\pi\)
\(432\) −15.5899 + 13.7355i −0.750072 + 0.660851i
\(433\) 19.5889i 0.941384i −0.882298 0.470692i \(-0.844004\pi\)
0.882298 0.470692i \(-0.155996\pi\)
\(434\) −0.322875 + 0.0766129i −0.0154985 + 0.00367754i
\(435\) 2.92899 + 23.4246i 0.140434 + 1.12312i
\(436\) 7.23802 + 2.63442i 0.346638 + 0.126166i
\(437\) −10.2520 3.73143i −0.490421 0.178499i
\(438\) −0.364209 + 0.186594i −0.0174026 + 0.00891580i
\(439\) −31.6846 5.58684i −1.51222 0.266645i −0.644851 0.764309i \(-0.723080\pi\)
−0.867370 + 0.497663i \(0.834192\pi\)
\(440\) 0.225644 0.390827i 0.0107572 0.0186319i
\(441\) −19.8501 6.85377i −0.945242 0.326370i
\(442\) −0.125802 0.217896i −0.00598380 0.0103643i
\(443\) −7.92834 21.7829i −0.376687 1.03494i −0.972721 0.231979i \(-0.925480\pi\)
0.596034 0.802959i \(-0.296742\pi\)
\(444\) −0.810568 2.63034i −0.0384679 0.124831i
\(445\) −9.05840 + 7.60090i −0.429409 + 0.360317i
\(446\) 0.00237980 + 0.0134965i 0.000112687 + 0.000639079i
\(447\) 25.6685 + 23.8299i 1.21408 + 1.12712i
\(448\) 6.06106 20.2649i 0.286358 0.957425i
\(449\) −16.3545 + 9.44229i −0.771817 + 0.445609i −0.833523 0.552485i \(-0.813679\pi\)
0.0617051 + 0.998094i \(0.480346\pi\)
\(450\) −0.0935562 + 0.0421527i −0.00441028 + 0.00198710i
\(451\) −16.8318 + 9.71787i −0.792581 + 0.457597i
\(452\) 3.14401 + 8.63809i 0.147882 + 0.406302i
\(453\) 1.66025 33.0850i 0.0780055 1.55447i
\(454\) −0.195932 + 0.0345481i −0.00919554 + 0.00162142i
\(455\) 8.72312 17.3806i 0.408946 0.814816i
\(456\) 0.150668 0.0188394i 0.00705568 0.000882236i
\(457\) −14.1005 11.8318i −0.659596 0.553467i 0.250370 0.968150i \(-0.419448\pi\)
−0.909966 + 0.414684i \(0.863892\pi\)
\(458\) 0.0919191 0.159209i 0.00429510 0.00743933i
\(459\) 18.2611 7.14969i 0.852353 0.333719i
\(460\) −21.1779 + 12.2271i −0.987425 + 0.570090i
\(461\) −15.0689 + 5.48464i −0.701830 + 0.255445i −0.668192 0.743989i \(-0.732932\pi\)
−0.0336380 + 0.999434i \(0.510709\pi\)
\(462\) −0.314156 + 0.00260838i −0.0146158 + 0.000121353i
\(463\) 27.7311 23.2691i 1.28877 1.08141i 0.296802 0.954939i \(-0.404080\pi\)
0.991971 0.126469i \(-0.0403645\pi\)
\(464\) 21.2860 + 25.3677i 0.988180 + 1.17767i
\(465\) 23.9215 + 1.20042i 1.10933 + 0.0556680i
\(466\) 0.349765 0.127304i 0.0162025 0.00589724i
\(467\) −10.8654 −0.502793 −0.251396 0.967884i \(-0.580890\pi\)
−0.251396 + 0.967884i \(0.580890\pi\)
\(468\) −11.6386 + 24.1341i −0.537993 + 1.11560i
\(469\) −28.4955 3.32301i −1.31580 0.153442i
\(470\) 0.0398846 + 0.00703274i 0.00183974 + 0.000324396i
\(471\) −26.2953 + 8.10317i −1.21162 + 0.373374i
\(472\) −0.443784 0.528881i −0.0204268 0.0243437i
\(473\) 5.15496 + 6.14344i 0.237025 + 0.282476i
\(474\) −0.0302032 0.0280398i −0.00138728 0.00128791i
\(475\) −3.31348 0.584256i −0.152033 0.0268075i
\(476\) −11.9201 + 16.0203i −0.546357 + 0.734290i
\(477\) 9.10305 8.86918i 0.416800 0.406092i
\(478\) 0.170650 0.00780534
\(479\) 11.5834 4.21600i 0.529257 0.192634i −0.0635495 0.997979i \(-0.520242\pi\)
0.592807 + 0.805345i \(0.298020\pi\)
\(480\) 0.277101 0.428779i 0.0126479 0.0195710i
\(481\) −2.28123 2.71867i −0.104015 0.123961i
\(482\) −0.0703504 + 0.0590310i −0.00320437 + 0.00268879i
\(483\) 29.6282 + 16.7794i 1.34813 + 0.763490i
\(484\) 18.9680 6.90379i 0.862182 0.313809i
\(485\) 2.26560 1.30805i 0.102876 0.0593953i
\(486\) 0.192078 + 0.131341i 0.00871282 + 0.00595773i
\(487\) 9.66499 16.7403i 0.437963 0.758574i −0.559570 0.828783i \(-0.689034\pi\)
0.997532 + 0.0702097i \(0.0223669\pi\)
\(488\) 0.137602 + 0.115462i 0.00622894 + 0.00522670i
\(489\) 11.7395 27.8281i 0.530877 1.25843i
\(490\) 0.171679 + 0.00990806i 0.00775565 + 0.000447600i
\(491\) −32.7847 + 5.78082i −1.47955 + 0.260885i −0.854399 0.519617i \(-0.826074\pi\)
−0.625153 + 0.780502i \(0.714963\pi\)
\(492\) −13.0453 + 6.68344i −0.588128 + 0.301313i
\(493\) −10.6900 29.3706i −0.481454 1.32278i
\(494\) 0.0847727 0.0489436i 0.00381411 0.00220207i
\(495\) 21.8251 + 6.15349i 0.980965 + 0.276579i
\(496\) 29.0973 16.7993i 1.30651 0.754311i
\(497\) 19.5170 + 5.83740i 0.875459 + 0.261843i
\(498\) 0.121388 0.0374070i 0.00543953 0.00167625i
\(499\) −3.49591 19.8263i −0.156498 0.887546i −0.957403 0.288755i \(-0.906759\pi\)
0.800905 0.598792i \(-0.204352\pi\)
\(500\) −18.3831 + 15.4252i −0.822115 + 0.689837i
\(501\) 11.1512 12.0115i 0.498198 0.536636i
\(502\) −0.0645112 0.177243i −0.00287927 0.00791074i
\(503\) −5.39577 9.34574i −0.240585 0.416706i 0.720296 0.693667i \(-0.244006\pi\)
−0.960881 + 0.276961i \(0.910673\pi\)
\(504\) −0.473477 0.0198203i −0.0210903 0.000882866i
\(505\) 1.90181 3.29403i 0.0846294 0.146582i
\(506\) 0.501654 + 0.0884552i 0.0223013 + 0.00393231i
\(507\) −0.602997 + 12.0163i −0.0267800 + 0.533664i
\(508\) 9.89205 + 3.60041i 0.438889 + 0.159742i
\(509\) −32.3031 11.7574i −1.43181 0.521136i −0.494360 0.869258i \(-0.664597\pi\)
−0.937449 + 0.348122i \(0.886820\pi\)
\(510\) −0.128037 + 0.0969292i −0.00566957 + 0.00429210i
\(511\) 40.1212 + 11.9999i 1.77486 + 0.530846i
\(512\) 1.19363i 0.0527514i
\(513\) 2.78160 + 7.10449i 0.122811 + 0.313671i
\(514\) −0.193442 0.111684i −0.00853237 0.00492616i
\(515\) −0.886427 0.156301i −0.0390607 0.00688745i
\(516\) 3.65059 + 4.82218i 0.160708 + 0.212285i
\(517\) 4.86697 + 5.80022i 0.214049 + 0.255094i
\(518\) 0.0140772 0.0280484i 0.000618515 0.00123238i
\(519\) −2.21094 1.42883i −0.0970495 0.0627187i
\(520\) 0.0762041 0.432175i 0.00334177 0.0189521i
\(521\) 16.4187 + 28.4380i 0.719317 + 1.24589i 0.961271 + 0.275605i \(0.0888783\pi\)
−0.241954 + 0.970288i \(0.577788\pi\)
\(522\) 0.216650 0.300995i 0.00948250 0.0131742i
\(523\) 2.01194 + 1.16159i 0.0879760 + 0.0507929i 0.543343 0.839511i \(-0.317158\pi\)
−0.455367 + 0.890304i \(0.650492\pi\)
\(524\) 5.25638 29.8104i 0.229626 1.30227i
\(525\) 9.89699 + 3.50943i 0.431940 + 0.153164i
\(526\) −0.223500 0.0813475i −0.00974508 0.00354692i
\(527\) −31.2300 + 5.50669i −1.36040 + 0.239875i
\(528\) 30.3986 9.36763i 1.32293 0.407674i
\(529\) −24.6732 20.7032i −1.07275 0.900141i
\(530\) −0.0520371 + 0.0901309i −0.00226035 + 0.00391504i
\(531\) 20.2660 28.1559i 0.879470 1.22186i
\(532\) −6.23273 4.63753i −0.270223 0.201063i
\(533\) −12.1485 + 14.4780i −0.526210 + 0.627113i
\(534\) 0.185531 + 0.00931023i 0.00802872 + 0.000402893i
\(535\) −1.88034 + 5.16619i −0.0812941 + 0.223354i
\(536\) −0.637559 + 0.112419i −0.0275384 + 0.00485576i
\(537\) 11.8672 8.98398i 0.512109 0.387687i
\(538\) 0.0504750 + 0.138679i 0.00217613 + 0.00597888i
\(539\) 23.3964 + 22.0500i 1.00776 + 0.949761i
\(540\) 16.2064 + 5.45983i 0.697413 + 0.234954i
\(541\) 9.54866 + 16.5388i 0.410529 + 0.711057i 0.994948 0.100395i \(-0.0320108\pi\)
−0.584419 + 0.811452i \(0.698677\pi\)
\(542\) 0.00577323 0.0327416i 0.000247982 0.00140637i
\(543\) 2.27998 + 18.2341i 0.0978431 + 0.782500i
\(544\) −0.231183 + 0.635169i −0.00991187 + 0.0272326i
\(545\) −1.10075 6.24269i −0.0471511 0.267407i
\(546\) −0.286201 + 0.106868i −0.0122483 + 0.00457352i
\(547\) 18.5854 + 15.5950i 0.794655 + 0.666795i 0.946893 0.321549i \(-0.104204\pi\)
−0.152238 + 0.988344i \(0.548648\pi\)
\(548\) 7.14428i 0.305189i
\(549\) −3.92056 + 8.12977i −0.167325 + 0.346970i
\(550\) 0.157095 0.00669855
\(551\) 11.4267 4.15896i 0.486792 0.177178i
\(552\) 0.749062 + 0.171184i 0.0318822 + 0.00728606i
\(553\) 0.246332 + 4.21019i 0.0104751 + 0.179035i
\(554\) 0.0441683 0.121351i 0.00187653 0.00515573i
\(555\) −1.54115 + 1.66006i −0.0654182 + 0.0704655i
\(556\) 7.82524 9.32575i 0.331864 0.395500i
\(557\) 16.5691i 0.702055i −0.936365 0.351028i \(-0.885832\pi\)
0.936365 0.351028i \(-0.114168\pi\)
\(558\) −0.262579 0.269503i −0.0111159 0.0114090i
\(559\) 6.75372 + 3.89926i 0.285652 + 0.164921i
\(560\) −16.9409 + 4.01980i −0.715885 + 0.169868i
\(561\) −29.9851 1.50470i −1.26597 0.0635283i
\(562\) 0.342250 0.287181i 0.0144369 0.0121140i
\(563\) 6.89101 + 39.0809i 0.290422 + 1.64706i 0.685250 + 0.728308i \(0.259693\pi\)
−0.394829 + 0.918755i \(0.629196\pi\)
\(564\) 3.44664 + 4.55277i 0.145130 + 0.191706i
\(565\) 4.86279 5.79525i 0.204579 0.243808i
\(566\) 0.146173 0.00614411
\(567\) −4.89275 23.3037i −0.205476 0.978662i
\(568\) 0.459704 0.0192888
\(569\) 4.54173 5.41262i 0.190399 0.226909i −0.662397 0.749153i \(-0.730461\pi\)
0.852796 + 0.522244i \(0.174905\pi\)
\(570\) −0.0377105 0.0498130i −0.00157952 0.00208644i
\(571\) −3.80649 21.5877i −0.159297 0.903417i −0.954752 0.297404i \(-0.903879\pi\)
0.795455 0.606013i \(-0.207232\pi\)
\(572\) 31.4228 26.3668i 1.31385 1.10245i
\(573\) −17.0082 0.853497i −0.710528 0.0356554i
\(574\) −0.160118 0.0478901i −0.00668321 0.00199889i
\(575\) −14.7450 8.51305i −0.614910 0.355019i
\(576\) 23.2455 5.90553i 0.968564 0.246064i
\(577\) 4.42356i 0.184155i 0.995752 + 0.0920775i \(0.0293508\pi\)
−0.995752 + 0.0920775i \(0.970649\pi\)
\(578\) −0.0264449 + 0.0315158i −0.00109996 + 0.00131088i
\(579\) 22.9936 24.7677i 0.955583 1.02931i
\(580\) 9.32210 25.6122i 0.387079 1.06349i
\(581\) −11.6174 5.83062i −0.481970 0.241895i
\(582\) −0.0400649 0.00915605i −0.00166074 0.000379531i
\(583\) −18.2838 + 6.65475i −0.757236 + 0.275611i
\(584\) 0.945014 0.0391050
\(585\) 21.9899 1.63584i 0.909169 0.0676339i
\(586\) 0.155146i 0.00640900i
\(587\) 28.2005 + 23.6630i 1.16396 + 0.976677i 0.999952 0.00978187i \(-0.00311371\pi\)
0.164007 + 0.986459i \(0.447558\pi\)
\(588\) 16.7891 + 17.4927i 0.692371 + 0.721388i
\(589\) −2.14239 12.1501i −0.0882755 0.500635i
\(590\) −0.0971600 + 0.266945i −0.00400001 + 0.0109899i
\(591\) 0.929898 + 7.43685i 0.0382509 + 0.305911i
\(592\) −0.551766 + 3.12922i −0.0226775 + 0.128610i
\(593\) 15.9700 + 27.6608i 0.655809 + 1.13589i 0.981690 + 0.190484i \(0.0610056\pi\)
−0.325882 + 0.945411i \(0.605661\pi\)
\(594\) −0.185503 0.304121i −0.00761126 0.0124782i
\(595\) 16.3229 + 1.90350i 0.669174 + 0.0780359i
\(596\) −13.8308 37.9999i −0.566533 1.55654i
\(597\) 2.34223 1.77317i 0.0958613 0.0725709i
\(598\) 0.487819 0.0860157i 0.0199484 0.00351744i
\(599\) −13.1453 + 36.1165i −0.537104 + 1.47568i 0.313353 + 0.949637i \(0.398548\pi\)
−0.850457 + 0.526044i \(0.823675\pi\)
\(600\) 0.236666 + 0.0118762i 0.00966184 + 0.000484845i
\(601\) 11.7434 13.9953i 0.479025 0.570880i −0.471366 0.881938i \(-0.656239\pi\)
0.950391 + 0.311058i \(0.100683\pi\)
\(602\) −0.00798775 + 0.0684967i −0.000325557 + 0.00279172i
\(603\) −13.3629 29.6584i −0.544180 1.20778i
\(604\) −19.1235 + 33.1229i −0.778126 + 1.34775i
\(605\) −12.7255 10.6780i −0.517366 0.434122i
\(606\) −0.0571035 + 0.0175970i −0.00231967 + 0.000714831i
\(607\) 19.1650 3.37930i 0.777883 0.137162i 0.229410 0.973330i \(-0.426320\pi\)
0.548473 + 0.836168i \(0.315209\pi\)
\(608\) −0.247113 0.0899419i −0.0100218 0.00364763i
\(609\) −37.3184 + 6.90018i −1.51222 + 0.279609i
\(610\) 0.0128343 0.0727870i 0.000519646 0.00294706i
\(611\) 6.37641 + 3.68142i 0.257962 + 0.148934i
\(612\) −22.5284 2.26672i −0.910655 0.0916267i
\(613\) −13.2018 22.8662i −0.533217 0.923559i −0.999247 0.0387902i \(-0.987650\pi\)
0.466030 0.884769i \(-0.345684\pi\)
\(614\) −0.0442435 + 0.250917i −0.00178552 + 0.0101262i
\(615\) 10.1314 + 6.54745i 0.408536 + 0.264019i
\(616\) 0.648413 + 0.325430i 0.0261253 + 0.0131120i
\(617\) 16.7822 + 20.0003i 0.675628 + 0.805182i 0.989538 0.144271i \(-0.0460836\pi\)
−0.313910 + 0.949453i \(0.601639\pi\)
\(618\) 0.00853488 + 0.0112740i 0.000343323 + 0.000453506i
\(619\) −27.6159 4.86943i −1.10998 0.195719i −0.411541 0.911391i \(-0.635009\pi\)
−0.698436 + 0.715672i \(0.746120\pi\)
\(620\) −23.9489 13.8269i −0.961813 0.555303i
\(621\) 0.930947 + 38.5975i 0.0373576 + 1.54886i
\(622\) 0.496518i 0.0199085i
\(623\) −13.0490 13.8238i −0.522797 0.553839i
\(624\) 24.6620 18.6701i 0.987268 0.747403i
\(625\) 7.79185 + 2.83600i 0.311674 + 0.113440i
\(626\) 0.0137074 + 0.00498910i 0.000547859 + 0.000199405i
\(627\) 0.585404 11.6658i 0.0233788 0.465885i
\(628\) 31.2860 + 5.51657i 1.24845 + 0.220135i
\(629\) 1.49953 2.59725i 0.0597900 0.103559i
\(630\) 0.0903466 + 0.172796i 0.00359949 + 0.00688434i
\(631\) −19.6263 33.9938i −0.781312 1.35327i −0.931178 0.364565i \(-0.881218\pi\)
0.149866 0.988706i \(-0.452116\pi\)
\(632\) 0.0325503 + 0.0894312i 0.00129478 + 0.00355738i
\(633\) 7.10173 7.64966i 0.282268 0.304047i
\(634\) −0.0387273 + 0.0324960i −0.00153806 + 0.00129058i
\(635\) −1.50438 8.53175i −0.0596994 0.338572i
\(636\) −14.0231 + 4.32137i −0.556054 + 0.171354i
\(637\) 28.7127 + 12.3674i 1.13764 + 0.490016i
\(638\) −0.491692 + 0.283879i −0.0194663 + 0.0112389i
\(639\) 5.68761 + 22.3877i 0.224998 + 0.885644i
\(640\) −0.680613 + 0.392952i −0.0269036 + 0.0155328i
\(641\) 10.2351 + 28.1208i 0.404263 + 1.11070i 0.960160 + 0.279452i \(0.0901528\pi\)
−0.555897 + 0.831251i \(0.687625\pi\)
\(642\) 0.0768667 0.0393808i 0.00303369 0.00155424i
\(643\) 1.69315 0.298548i 0.0667714 0.0117736i −0.140163 0.990128i \(-0.544763\pi\)
0.206934 + 0.978355i \(0.433651\pi\)
\(644\) −21.6114 32.8396i −0.851609 1.29406i
\(645\) 1.93468 4.58610i 0.0761778 0.180577i
\(646\) 0.0633668 + 0.0531710i 0.00249313 + 0.00209199i
\(647\) 23.2767 40.3164i 0.915102 1.58500i 0.108350 0.994113i \(-0.465443\pi\)
0.806752 0.590890i \(-0.201223\pi\)
\(648\) −0.256471 0.472186i −0.0100751 0.0185492i
\(649\) −45.9942 + 26.5548i −1.80543 + 1.04237i
\(650\) 0.143550 0.0522479i 0.00563049 0.00204933i
\(651\) 0.319689 + 38.5036i 0.0125296 + 1.50907i
\(652\) −26.7131 + 22.4150i −1.04617 + 0.877837i
\(653\) −12.3612 14.7315i −0.483730 0.576487i 0.467882 0.883791i \(-0.345017\pi\)
−0.951611 + 0.307305i \(0.900573\pi\)
\(654\) −0.0540513 + 0.0836377i −0.00211357 + 0.00327049i
\(655\) −23.4093 + 8.52029i −0.914677 + 0.332915i
\(656\) 16.9215 0.660673
\(657\) 11.6920 + 46.0224i 0.456149 + 1.79551i
\(658\) −0.00754150 + 0.0646699i −0.000293998 + 0.00252110i
\(659\) 20.4588 + 3.60744i 0.796962 + 0.140526i 0.557279 0.830325i \(-0.311845\pi\)
0.239683 + 0.970851i \(0.422957\pi\)
\(660\) −19.1872 17.8129i −0.746861 0.693365i
\(661\) 9.07299 + 10.8128i 0.352898 + 0.420568i 0.913066 0.407811i \(-0.133708\pi\)
−0.560168 + 0.828379i \(0.689263\pi\)
\(662\) −0.0583176 0.0695003i −0.00226658 0.00270120i
\(663\) −27.9002 + 8.59772i −1.08355 + 0.333908i
\(664\) −0.288870 0.0509356i −0.0112103 0.00197668i
\(665\) −0.740559 + 6.35045i −0.0287177 + 0.246260i
\(666\) 0.0354867 0.00263989i 0.00137508 0.000102294i
\(667\) 61.5341 2.38261
\(668\) −17.7820 + 6.47212i −0.688006 + 0.250414i
\(669\) 1.58822 + 0.0796994i 0.0614043 + 0.00308136i
\(670\) 0.171226 + 0.204059i 0.00661502 + 0.00788347i
\(671\) 10.5850 8.88191i 0.408631 0.342882i
\(672\) 0.714154 + 0.404449i 0.0275491 + 0.0156019i
\(673\) −6.36430 + 2.31642i −0.245326 + 0.0892913i −0.461757 0.887007i \(-0.652781\pi\)
0.216431 + 0.976298i \(0.430558\pi\)
\(674\) −0.221066 + 0.127633i −0.00851515 + 0.00491623i
\(675\) 2.34973 + 11.6726i 0.0904410 + 0.449279i
\(676\) 6.94558 12.0301i 0.267138 0.462696i
\(677\) 24.1811 + 20.2904i 0.929356 + 0.779823i 0.975702 0.219103i \(-0.0703130\pi\)
−0.0463453 + 0.998925i \(0.514757\pi\)
\(678\) −0.117927 + 0.0147456i −0.00452898 + 0.000566299i
\(679\) 2.31198 + 3.51317i 0.0887255 + 0.134823i
\(680\) 0.365209 0.0643962i 0.0140051 0.00246948i
\(681\) −1.15701 + 23.0566i −0.0443369 + 0.883531i
\(682\) 0.197019 + 0.541306i 0.00754425 + 0.0207277i
\(683\) −21.2271 + 12.2555i −0.812233 + 0.468943i −0.847731 0.530427i \(-0.822032\pi\)
0.0354979 + 0.999370i \(0.488698\pi\)
\(684\) 0.881871 8.76469i 0.0337192 0.335126i
\(685\) 5.09185 2.93978i 0.194550 0.112323i
\(686\) 0.000219288 0.276452i 8.37245e−6 0.0105550i
\(687\) −15.6332 14.5134i −0.596445 0.553723i
\(688\) −1.21246 6.87618i −0.0462244 0.262152i
\(689\) −14.4940 + 12.1619i −0.552178 + 0.463332i
\(690\) −0.0931068 0.302137i −0.00354451 0.0115022i
\(691\) −9.24106 25.3896i −0.351547 0.965866i −0.981874 0.189537i \(-0.939301\pi\)
0.630327 0.776330i \(-0.282921\pi\)
\(692\) 1.51968 + 2.63216i 0.0577695 + 0.100060i
\(693\) −7.82618 + 35.6042i −0.297292 + 1.35249i
\(694\) 0.157307 0.272465i 0.00597131 0.0103426i
\(695\) −9.86660 1.73975i −0.374261 0.0659924i
\(696\) −0.762202 + 0.390496i −0.0288912 + 0.0148017i
\(697\) −15.0080 5.46247i −0.568469 0.206906i
\(698\) −0.0912541 0.0332138i −0.00345402 0.00125716i
\(699\) −5.35865 42.8558i −0.202683 1.62095i
\(700\) −8.32226 8.81641i −0.314552 0.333229i
\(701\) 28.6921i 1.08369i −0.840479 0.541843i \(-0.817727\pi\)
0.840479 0.541843i \(-0.182273\pi\)
\(702\) −0.270655 0.216203i −0.0102152 0.00816005i
\(703\) 1.01047 + 0.583393i 0.0381104 + 0.0220031i
\(704\) −36.1600 6.37598i −1.36283 0.240304i
\(705\) 1.82659 4.32988i 0.0687933 0.163073i
\(706\) 0.183193 + 0.218321i 0.00689457 + 0.00821662i
\(707\) 5.46506 + 2.74285i 0.205535 + 0.103155i
\(708\) −35.6472 + 18.2630i −1.33971 + 0.686365i
\(709\) −6.60874 + 37.4800i −0.248196 + 1.40759i 0.564754 + 0.825259i \(0.308971\pi\)
−0.812950 + 0.582333i \(0.802140\pi\)
\(710\) −0.0945759 0.163810i −0.00354937 0.00614769i
\(711\) −3.95260 + 2.69168i −0.148234 + 0.100946i
\(712\) −0.371509 0.214491i −0.0139229 0.00803838i
\(713\) 10.8413 61.4838i 0.406008 2.30259i
\(714\) −0.167581 0.196381i −0.00627156 0.00734937i
\(715\) −31.7221 11.5459i −1.18634 0.431793i
\(716\) −16.9239 + 2.98415i −0.632477 + 0.111523i
\(717\) 4.41147 19.3036i 0.164749 0.720907i
\(718\) −0.229857 0.192873i −0.00857817 0.00719794i
\(719\) −6.16159 + 10.6722i −0.229789 + 0.398005i −0.957745 0.287618i \(-0.907137\pi\)
0.727957 + 0.685623i \(0.240470\pi\)
\(720\) −13.7773 14.1406i −0.513449 0.526988i
\(721\) 0.167608 1.43728i 0.00624205 0.0535269i
\(722\) 0.161617 0.192607i 0.00601475 0.00716810i
\(723\) 4.85886 + 9.48393i 0.180703 + 0.352711i
\(724\) 7.25648 19.9370i 0.269685 0.740953i
\(725\) 18.6886 3.29530i 0.694076 0.122384i
\(726\) 0.0323791 + 0.258952i 0.00120170 + 0.00961060i
\(727\) 9.28805 + 25.5187i 0.344475 + 0.946437i 0.984079 + 0.177732i \(0.0568761\pi\)
−0.639604 + 0.768705i \(0.720902\pi\)
\(728\) 0.700739 + 0.0817168i 0.0259711 + 0.00302863i
\(729\) 19.8224 18.3322i 0.734164 0.678972i
\(730\) −0.194420 0.336745i −0.00719579 0.0124635i
\(731\) −1.14437 + 6.49002i −0.0423259 + 0.240042i
\(732\) 8.30853 6.28990i 0.307092 0.232481i
\(733\) −15.7087 + 43.1594i −0.580216 + 1.59413i 0.207597 + 0.978214i \(0.433436\pi\)
−0.787813 + 0.615915i \(0.788786\pi\)
\(734\) −0.00160288 0.00909040i −5.91635e−5 0.000335533i
\(735\) 5.55885 19.1639i 0.205041 0.706871i
\(736\) −1.01940 0.855382i −0.0375757 0.0315298i
\(737\) 49.8010i 1.83444i
\(738\) −0.0466612 0.183669i −0.00171762 0.00676096i
\(739\) 27.6265 1.01626 0.508129 0.861281i \(-0.330337\pi\)
0.508129 + 0.861281i \(0.330337\pi\)
\(740\) 2.45757 0.894481i 0.0903419 0.0328818i
\(741\) −3.34496 10.8546i −0.122880 0.398754i
\(742\) −0.149534 0.0750495i −0.00548958 0.00275515i
\(743\) 3.93643 10.8153i 0.144414 0.396773i −0.846306 0.532698i \(-0.821178\pi\)
0.990719 + 0.135925i \(0.0434005\pi\)
\(744\) 0.255890 + 0.830379i 0.00938137 + 0.0304432i
\(745\) −21.3919 + 25.4939i −0.783740 + 0.934025i
\(746\) 0.481047i 0.0176124i
\(747\) −1.09342 14.6982i −0.0400060 0.537781i
\(748\) 30.0195 + 17.3318i 1.09762 + 0.633712i
\(749\) −8.46761 2.53260i −0.309400 0.0925391i
\(750\) −0.141465 0.276124i −0.00516558 0.0100826i
\(751\) −8.89746 + 7.46586i −0.324673 + 0.272433i −0.790525 0.612430i \(-0.790192\pi\)
0.465852 + 0.884863i \(0.345748\pi\)
\(752\) −1.14472 6.49202i −0.0417436 0.236740i
\(753\) −21.7171 + 2.71549i −0.791416 + 0.0989580i
\(754\) −0.354883 + 0.422933i −0.0129241 + 0.0154023i
\(755\) 31.4764 1.14554
\(756\) −7.24054 + 26.5218i −0.263336 + 0.964589i
\(757\) 25.0813 0.911595 0.455798 0.890083i \(-0.349354\pi\)
0.455798 + 0.890083i \(0.349354\pi\)
\(758\) 0.0825471 0.0983759i 0.00299825 0.00357317i
\(759\) 22.9742 54.4597i 0.833910 1.97676i
\(760\) 0.0250534 + 0.142085i 0.000908784 + 0.00515397i
\(761\) −19.9698 + 16.7566i −0.723904 + 0.607428i −0.928462 0.371427i \(-0.878869\pi\)
0.204558 + 0.978854i \(0.434424\pi\)
\(762\) −0.0738707 + 0.114306i −0.00267605 + 0.00414086i
\(763\) 9.91533 2.35274i 0.358959 0.0851751i
\(764\) 17.0277 + 9.83096i 0.616041 + 0.355672i
\(765\) 7.65459 + 16.9890i 0.276752 + 0.614240i
\(766\) 0.181308i 0.00655091i
\(767\) −33.1967 + 39.5623i −1.19866 + 1.42851i
\(768\) −26.9862 6.16718i −0.973781 0.222539i
\(769\) −3.57920 + 9.83378i −0.129069 + 0.354615i −0.987348 0.158569i \(-0.949312\pi\)
0.858279 + 0.513184i \(0.171534\pi\)
\(770\) −0.0174359 0.298006i −0.000628347 0.0107394i
\(771\) −17.6342 + 18.9947i −0.635079 + 0.684078i
\(772\) −36.6663 + 13.3455i −1.31965