Properties

Label 177.4.e.a.4.7
Level $177$
Weight $4$
Character 177.4
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.7
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.a.133.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.689793 - 0.0750196i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(-7.34278 - 1.61627i) q^{4} +(-13.2529 - 10.0746i) q^{5} +(1.51122 - 1.43150i) q^{6} +(3.00216 - 7.53485i) q^{7} +(10.2041 + 3.43815i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(-0.689793 - 0.0750196i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(-7.34278 - 1.61627i) q^{4} +(-13.2529 - 10.0746i) q^{5} +(1.51122 - 1.43150i) q^{6} +(3.00216 - 7.53485i) q^{7} +(10.2041 + 3.43815i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(8.38595 + 7.94360i) q^{10} +(-20.9645 + 9.69923i) q^{11} +(17.9564 - 13.6501i) q^{12} +(0.115534 - 0.704729i) q^{13} +(-2.63613 + 4.97227i) q^{14} +(48.7745 - 10.7361i) q^{15} +(47.8085 + 22.1186i) q^{16} +(21.2754 + 53.3973i) q^{17} +(0.338084 + 6.23559i) q^{18} +(13.2054 + 19.4765i) q^{19} +(81.0297 + 95.3955i) q^{20} +(11.3977 + 21.4983i) q^{21} +(15.1888 - 5.11771i) q^{22} +(-1.25608 + 23.1670i) q^{23} +(-27.6792 + 16.6540i) q^{24} +(40.7005 + 146.590i) q^{25} +(-0.132563 + 0.477450i) q^{26} +(23.1351 + 13.9200i) q^{27} +(-34.2225 + 50.4744i) q^{28} +(-52.4552 + 5.70485i) q^{29} +(-34.4498 + 3.74664i) q^{30} +(-16.3758 + 24.1524i) q^{31} +(-105.130 - 63.2545i) q^{32} +(18.5393 - 66.7726i) q^{33} +(-10.6698 - 38.4292i) q^{34} +(-115.698 + 69.6129i) q^{35} +(-3.66342 + 67.5678i) q^{36} +(275.751 - 92.9112i) q^{37} +(-7.64788 - 14.4254i) q^{38} +(1.38697 + 1.63286i) q^{39} +(-100.595 - 148.367i) q^{40} +(6.08717 + 112.271i) q^{41} +(-6.24924 - 15.6844i) q^{42} +(218.599 + 101.134i) q^{43} +(169.614 - 37.3350i) q^{44} +(-70.1800 + 132.373i) q^{45} +(2.60441 - 15.8862i) q^{46} +(113.240 - 86.0827i) q^{47} +(-143.425 + 66.3557i) q^{48} +(201.255 + 190.639i) q^{49} +(-17.0778 - 104.170i) q^{50} +(-163.412 - 55.0601i) q^{51} +(-1.98737 + 4.98793i) q^{52} +(28.2512 - 26.7610i) q^{53} +(-14.9142 - 11.3375i) q^{54} +(375.556 + 82.6661i) q^{55} +(56.5401 - 66.5642i) q^{56} +(-70.1798 - 7.63251i) q^{57} +36.6113 q^{58} +(-165.381 - 421.934i) q^{59} -375.493 q^{60} +(694.049 + 75.4824i) q^{61} +(13.1078 - 15.4317i) q^{62} +(-71.2915 - 15.6925i) q^{63} +(-267.715 - 203.511i) q^{64} +(-8.63100 + 8.17572i) q^{65} +(-17.7975 + 44.6685i) q^{66} +(-349.620 - 117.801i) q^{67} +(-69.9164 - 426.471i) q^{68} +(-50.5316 - 47.8660i) q^{69} +(85.0297 - 39.3389i) q^{70} +(-789.804 + 600.394i) q^{71} +(15.6782 - 95.6328i) q^{72} +(209.909 - 395.930i) q^{73} +(-197.181 + 43.4028i) q^{74} +(-414.223 - 191.640i) q^{75} +(-65.4851 - 164.355i) q^{76} +(10.1434 + 187.083i) q^{77} +(-0.834224 - 1.23039i) q^{78} +(350.640 + 412.805i) q^{79} +(-410.765 - 774.784i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(4.22365 - 77.9006i) q^{82} +(-813.894 + 489.704i) q^{83} +(-48.9435 - 176.279i) q^{84} +(255.994 - 922.008i) q^{85} +(-143.201 - 86.1611i) q^{86} +(88.8323 - 131.018i) q^{87} +(-247.271 + 26.8923i) q^{88} +(-1038.96 + 112.994i) q^{89} +(58.3403 - 86.0455i) q^{90} +(-4.96317 - 2.98624i) q^{91} +(46.6672 - 168.080i) q^{92} +(-23.4199 - 84.3508i) q^{93} +(-84.5700 + 50.8841i) q^{94} +(21.2080 - 391.158i) q^{95} +(348.809 - 117.528i) q^{96} +(561.327 + 1058.78i) q^{97} +(-124.523 - 146.600i) q^{98} +(116.668 + 172.073i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + O(q^{10}) \) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + 854q^{10} + 32q^{11} + 192q^{12} - 22q^{13} - 884q^{14} - 42q^{15} - 268q^{16} - 56q^{17} - 18q^{18} - 112q^{19} - 250q^{20} + 243q^{21} + 108q^{22} + 16q^{23} - 54q^{24} - 197q^{25} - 328q^{26} + 405q^{27} + 236q^{28} - 54q^{29} - 126q^{30} + 66q^{31} + 857q^{32} - 96q^{33} + 112q^{34} + 532q^{35} - 576q^{36} + 110q^{37} + 56q^{38} + 66q^{39} - 6044q^{40} + 304q^{41} - 306q^{42} - 324q^{43} - 568q^{44} + 126q^{45} + 5842q^{46} + 4082q^{47} + 804q^{48} + 739q^{49} + 576q^{50} + 168q^{51} - 1372q^{52} - 1498q^{53} + 54q^{54} - 4422q^{55} - 12036q^{56} + 336q^{57} + 6298q^{58} - 3305q^{59} + 750q^{60} - 1718q^{61} - 4333q^{62} + 54q^{63} - 6250q^{64} - 5884q^{65} - 324q^{66} + 382q^{67} + 734q^{68} + 3780q^{69} + 8082q^{70} + 8638q^{71} + 162q^{72} + 8894q^{73} + 12428q^{74} + 243q^{75} - 15468q^{76} - 9916q^{77} + 984q^{78} - 578q^{79} + 24570q^{80} - 1215q^{81} - 1382q^{82} - 32q^{83} + 7557q^{84} + 708q^{85} + 2296q^{86} - 5928q^{87} - 17646q^{88} - 2284q^{89} + 378q^{90} + 11124q^{91} + 762q^{92} - 198q^{93} - 1232q^{94} + 24184q^{95} - 396q^{96} - 658q^{97} - 4356q^{98} + 288q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.689793 0.0750196i −0.243879 0.0265234i −0.0146368 0.999893i \(-0.504659\pi\)
−0.229242 + 0.973369i \(0.573625\pi\)
\(3\) −1.94216 + 2.28649i −0.373769 + 0.440034i
\(4\) −7.34278 1.61627i −0.917847 0.202033i
\(5\) −13.2529 10.0746i −1.18537 0.901097i −0.188654 0.982044i \(-0.560413\pi\)
−0.996718 + 0.0809468i \(0.974206\pi\)
\(6\) 1.51122 1.43150i 0.102825 0.0974015i
\(7\) 3.00216 7.53485i 0.162101 0.406844i −0.825380 0.564577i \(-0.809039\pi\)
0.987482 + 0.157733i \(0.0504187\pi\)
\(8\) 10.2041 + 3.43815i 0.450960 + 0.151946i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) 8.38595 + 7.94360i 0.265187 + 0.251199i
\(11\) −20.9645 + 9.69923i −0.574641 + 0.265857i −0.685613 0.727966i \(-0.740466\pi\)
0.110972 + 0.993824i \(0.464604\pi\)
\(12\) 17.9564 13.6501i 0.431964 0.328371i
\(13\) 0.115534 0.704729i 0.00246488 0.0150351i −0.985565 0.169295i \(-0.945851\pi\)
0.988030 + 0.154260i \(0.0492993\pi\)
\(14\) −2.63613 + 4.97227i −0.0503240 + 0.0949210i
\(15\) 48.7745 10.7361i 0.839569 0.184803i
\(16\) 47.8085 + 22.1186i 0.747008 + 0.345603i
\(17\) 21.2754 + 53.3973i 0.303532 + 0.761809i 0.999062 + 0.0433109i \(0.0137906\pi\)
−0.695529 + 0.718498i \(0.744830\pi\)
\(18\) 0.338084 + 6.23559i 0.00442706 + 0.0816524i
\(19\) 13.2054 + 19.4765i 0.159449 + 0.235169i 0.899019 0.437911i \(-0.144281\pi\)
−0.739570 + 0.673080i \(0.764971\pi\)
\(20\) 81.0297 + 95.3955i 0.905939 + 1.06655i
\(21\) 11.3977 + 21.4983i 0.118437 + 0.223396i
\(22\) 15.1888 5.11771i 0.147194 0.0495955i
\(23\) −1.25608 + 23.1670i −0.0113874 + 0.210029i 0.987302 + 0.158853i \(0.0507796\pi\)
−0.998690 + 0.0511756i \(0.983703\pi\)
\(24\) −27.6792 + 16.6540i −0.235416 + 0.141645i
\(25\) 40.7005 + 146.590i 0.325604 + 1.17272i
\(26\) −0.132563 + 0.477450i −0.000999916 + 0.00360137i
\(27\) 23.1351 + 13.9200i 0.164902 + 0.0992184i
\(28\) −34.2225 + 50.4744i −0.230980 + 0.340670i
\(29\) −52.4552 + 5.70485i −0.335886 + 0.0365298i −0.274508 0.961585i \(-0.588515\pi\)
−0.0613779 + 0.998115i \(0.519549\pi\)
\(30\) −34.4498 + 3.74664i −0.209655 + 0.0228013i
\(31\) −16.3758 + 24.1524i −0.0948766 + 0.139932i −0.872165 0.489212i \(-0.837284\pi\)
0.777288 + 0.629145i \(0.216595\pi\)
\(32\) −105.130 63.2545i −0.580766 0.349435i
\(33\) 18.5393 66.7726i 0.0977964 0.352231i
\(34\) −10.6698 38.4292i −0.0538193 0.193840i
\(35\) −115.698 + 69.6129i −0.558756 + 0.336192i
\(36\) −3.66342 + 67.5678i −0.0169603 + 0.312814i
\(37\) 275.751 92.9112i 1.22522 0.412825i 0.368996 0.929431i \(-0.379701\pi\)
0.856223 + 0.516606i \(0.172805\pi\)
\(38\) −7.64788 14.4254i −0.0326487 0.0615819i
\(39\) 1.38697 + 1.63286i 0.00569468 + 0.00670429i
\(40\) −100.595 148.367i −0.397638 0.586472i
\(41\) 6.08717 + 112.271i 0.0231867 + 0.427654i 0.986964 + 0.160944i \(0.0514539\pi\)
−0.963777 + 0.266710i \(0.914063\pi\)
\(42\) −6.24924 15.6844i −0.0229590 0.0576228i
\(43\) 218.599 + 101.134i 0.775255 + 0.358671i 0.767293 0.641297i \(-0.221603\pi\)
0.00796238 + 0.999968i \(0.497465\pi\)
\(44\) 169.614 37.3350i 0.581144 0.127920i
\(45\) −70.1800 + 132.373i −0.232485 + 0.438513i
\(46\) 2.60441 15.8862i 0.00834783 0.0509195i
\(47\) 113.240 86.0827i 0.351441 0.267159i −0.414527 0.910037i \(-0.636053\pi\)
0.765968 + 0.642878i \(0.222260\pi\)
\(48\) −143.425 + 66.3557i −0.431285 + 0.199534i
\(49\) 201.255 + 190.639i 0.586751 + 0.555800i
\(50\) −17.0778 104.170i −0.0483034 0.294638i
\(51\) −163.412 55.0601i −0.448673 0.151175i
\(52\) −1.98737 + 4.98793i −0.00529999 + 0.0133020i
\(53\) 28.2512 26.7610i 0.0732190 0.0693567i −0.650215 0.759750i \(-0.725321\pi\)
0.723434 + 0.690394i \(0.242563\pi\)
\(54\) −14.9142 11.3375i −0.0375846 0.0285710i
\(55\) 375.556 + 82.6661i 0.920726 + 0.202667i
\(56\) 56.5401 66.5642i 0.134920 0.158840i
\(57\) −70.1798 7.63251i −0.163080 0.0177360i
\(58\) 36.6113 0.0828844
\(59\) −165.381 421.934i −0.364928 0.931036i
\(60\) −375.493 −0.807932
\(61\) 694.049 + 75.4824i 1.45679 + 0.158435i 0.801975 0.597358i \(-0.203783\pi\)
0.654811 + 0.755793i \(0.272748\pi\)
\(62\) 13.1078 15.4317i 0.0268499 0.0316101i
\(63\) −71.2915 15.6925i −0.142570 0.0313820i
\(64\) −267.715 203.511i −0.522880 0.397483i
\(65\) −8.63100 + 8.17572i −0.0164699 + 0.0156011i
\(66\) −17.7975 + 44.6685i −0.0331928 + 0.0833077i
\(67\) −349.620 117.801i −0.637506 0.214801i −0.0180563 0.999837i \(-0.505748\pi\)
−0.619450 + 0.785036i \(0.712644\pi\)
\(68\) −69.9164 426.471i −0.124685 0.760548i
\(69\) −50.5316 47.8660i −0.0881635 0.0835129i
\(70\) 85.0297 39.3389i 0.145186 0.0671701i
\(71\) −789.804 + 600.394i −1.32018 + 1.00357i −0.321789 + 0.946812i \(0.604284\pi\)
−0.998388 + 0.0567605i \(0.981923\pi\)
\(72\) 15.6782 95.6328i 0.0256624 0.156534i
\(73\) 209.909 395.930i 0.336547 0.634795i −0.656258 0.754537i \(-0.727862\pi\)
0.992805 + 0.119741i \(0.0382065\pi\)
\(74\) −197.181 + 43.4028i −0.309755 + 0.0681821i
\(75\) −414.223 191.640i −0.637738 0.295049i
\(76\) −65.4851 164.355i −0.0988375 0.248063i
\(77\) 10.1434 + 187.083i 0.0150122 + 0.276885i
\(78\) −0.834224 1.23039i −0.00121099 0.00178608i
\(79\) 350.640 + 412.805i 0.499368 + 0.587901i 0.952879 0.303349i \(-0.0981049\pi\)
−0.453512 + 0.891250i \(0.649829\pi\)
\(80\) −410.765 774.784i −0.574061 1.08279i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) 4.22365 77.9006i 0.00568810 0.104911i
\(83\) −813.894 + 489.704i −1.07634 + 0.647614i −0.939351 0.342958i \(-0.888571\pi\)
−0.136992 + 0.990572i \(0.543744\pi\)
\(84\) −48.9435 176.279i −0.0635735 0.228971i
\(85\) 255.994 922.008i 0.326664 1.17654i
\(86\) −143.201 86.1611i −0.179555 0.108035i
\(87\) 88.8323 131.018i 0.109469 0.161455i
\(88\) −247.271 + 26.8923i −0.299536 + 0.0325765i
\(89\) −1038.96 + 112.994i −1.23741 + 0.134577i −0.703335 0.710858i \(-0.748307\pi\)
−0.534078 + 0.845435i \(0.679341\pi\)
\(90\) 58.3403 86.0455i 0.0683290 0.100778i
\(91\) −4.96317 2.98624i −0.00571738 0.00344004i
\(92\) 46.6672 168.080i 0.0528847 0.190473i
\(93\) −23.4199 84.3508i −0.0261132 0.0940513i
\(94\) −84.5700 + 50.8841i −0.0927950 + 0.0558329i
\(95\) 21.2080 391.158i 0.0229041 0.422442i
\(96\) 348.809 117.528i 0.370836 0.124949i
\(97\) 561.327 + 1058.78i 0.587568 + 1.10827i 0.981917 + 0.189311i \(0.0606253\pi\)
−0.394349 + 0.918961i \(0.629030\pi\)
\(98\) −124.523 146.600i −0.128354 0.151110i
\(99\) 116.668 + 172.073i 0.118440 + 0.174687i
\(100\) −61.9262 1142.16i −0.0619262 1.14216i
\(101\) 393.114 + 986.642i 0.387290 + 0.972025i 0.985346 + 0.170570i \(0.0545610\pi\)
−0.598055 + 0.801455i \(0.704060\pi\)
\(102\) 108.590 + 50.2392i 0.105412 + 0.0487688i
\(103\) 242.795 53.4433i 0.232265 0.0511255i −0.0973125 0.995254i \(-0.531025\pi\)
0.329578 + 0.944128i \(0.393094\pi\)
\(104\) 3.60188 6.79388i 0.00339609 0.00640571i
\(105\) 65.5341 399.740i 0.0609092 0.371530i
\(106\) −21.4951 + 16.3402i −0.0196961 + 0.0149726i
\(107\) 602.818 278.893i 0.544641 0.251978i −0.128221 0.991746i \(-0.540927\pi\)
0.672862 + 0.739768i \(0.265065\pi\)
\(108\) −147.378 139.604i −0.131310 0.124383i
\(109\) 19.0858 + 116.418i 0.0167715 + 0.102302i 0.993886 0.110414i \(-0.0352176\pi\)
−0.977114 + 0.212715i \(0.931769\pi\)
\(110\) −252.854 85.1966i −0.219170 0.0738470i
\(111\) −323.111 + 810.948i −0.276292 + 0.693440i
\(112\) 310.189 293.826i 0.261697 0.247893i
\(113\) −105.182 79.9573i −0.0875636 0.0665641i 0.560477 0.828170i \(-0.310618\pi\)
−0.648040 + 0.761606i \(0.724411\pi\)
\(114\) 47.8369 + 10.5297i 0.0393012 + 0.00865086i
\(115\) 250.044 294.375i 0.202754 0.238701i
\(116\) 394.388 + 42.8922i 0.315672 + 0.0343314i
\(117\) −6.42723 −0.00507861
\(118\) 82.4252 + 303.454i 0.0643039 + 0.236739i
\(119\) 466.213 0.359140
\(120\) 534.611 + 58.1424i 0.406692 + 0.0442304i
\(121\) −516.234 + 607.758i −0.387854 + 0.456618i
\(122\) −473.088 104.135i −0.351077 0.0772779i
\(123\) −268.529 204.130i −0.196849 0.149641i
\(124\) 159.280 150.878i 0.115353 0.109268i
\(125\) 167.204 419.651i 0.119642 0.300278i
\(126\) 47.9992 + 16.1728i 0.0339374 + 0.0114348i
\(127\) 18.3706 + 112.056i 0.0128357 + 0.0782941i 0.992468 0.122508i \(-0.0390936\pi\)
−0.979632 + 0.200802i \(0.935645\pi\)
\(128\) 881.993 + 835.469i 0.609046 + 0.576919i
\(129\) −655.796 + 303.403i −0.447594 + 0.207079i
\(130\) 6.56695 4.99206i 0.00443046 0.00336795i
\(131\) 5.97398 36.4397i 0.00398434 0.0243034i −0.984760 0.173921i \(-0.944356\pi\)
0.988744 + 0.149618i \(0.0478044\pi\)
\(132\) −244.052 + 460.332i −0.160924 + 0.303536i
\(133\) 186.397 41.0291i 0.121524 0.0267495i
\(134\) 232.328 + 107.487i 0.149777 + 0.0692942i
\(135\) −166.369 417.556i −0.106065 0.266204i
\(136\) 33.5079 + 618.018i 0.0211271 + 0.389666i
\(137\) 1094.37 + 1614.08i 0.682471 + 1.00657i 0.998330 + 0.0577632i \(0.0183968\pi\)
−0.315859 + 0.948806i \(0.602293\pi\)
\(138\) 31.2655 + 36.8085i 0.0192862 + 0.0227054i
\(139\) 177.556 + 334.906i 0.108346 + 0.204362i 0.931756 0.363084i \(-0.118276\pi\)
−0.823410 + 0.567446i \(0.807931\pi\)
\(140\) 962.054 324.154i 0.580775 0.195686i
\(141\) −23.1029 + 426.108i −0.0137987 + 0.254502i
\(142\) 589.843 354.897i 0.348581 0.209734i
\(143\) 4.41320 + 15.8949i 0.00258077 + 0.00929510i
\(144\) 126.834 456.814i 0.0733991 0.264360i
\(145\) 752.656 + 452.858i 0.431067 + 0.259364i
\(146\) −174.496 + 257.362i −0.0989137 + 0.145887i
\(147\) −826.764 + 89.9160i −0.463880 + 0.0504500i
\(148\) −2174.94 + 236.539i −1.20797 + 0.131375i
\(149\) 1529.76 2256.23i 0.841094 1.24052i −0.127491 0.991840i \(-0.540692\pi\)
0.968585 0.248681i \(-0.0799972\pi\)
\(150\) 271.352 + 163.267i 0.147705 + 0.0888712i
\(151\) −766.154 + 2759.44i −0.412905 + 1.48715i 0.406347 + 0.913719i \(0.366802\pi\)
−0.819253 + 0.573432i \(0.805612\pi\)
\(152\) 67.7856 + 244.142i 0.0361720 + 0.130280i
\(153\) 443.267 266.705i 0.234222 0.140927i
\(154\) 7.03808 129.810i 0.00368276 0.0679245i
\(155\) 460.351 155.110i 0.238557 0.0803792i
\(156\) −7.54504 14.2315i −0.00387235 0.00730403i
\(157\) −1895.09 2231.07i −0.963342 1.13413i −0.990912 0.134514i \(-0.957053\pi\)
0.0275693 0.999620i \(-0.491223\pi\)
\(158\) −210.900 311.055i −0.106192 0.156622i
\(159\) 6.32025 + 116.570i 0.00315238 + 0.0581422i
\(160\) 756.010 + 1897.44i 0.373549 + 0.937537i
\(161\) 170.789 + 79.0154i 0.0836029 + 0.0386788i
\(162\) 54.8887 12.0819i 0.0266202 0.00585954i
\(163\) −1207.33 + 2277.26i −0.580155 + 1.09429i 0.403628 + 0.914923i \(0.367749\pi\)
−0.983783 + 0.179365i \(0.942596\pi\)
\(164\) 136.764 834.221i 0.0651186 0.397206i
\(165\) −918.404 + 698.152i −0.433319 + 0.329401i
\(166\) 598.156 276.736i 0.279674 0.129391i
\(167\) 2466.87 + 2336.74i 1.14307 + 1.08277i 0.995600 + 0.0937030i \(0.0298704\pi\)
0.147466 + 0.989067i \(0.452888\pi\)
\(168\) 42.3882 + 258.557i 0.0194662 + 0.118739i
\(169\) 2081.51 + 701.343i 0.947433 + 0.319227i
\(170\) −245.752 + 616.791i −0.110872 + 0.278269i
\(171\) 153.752 145.641i 0.0687585 0.0651315i
\(172\) −1441.66 1095.92i −0.639102 0.485833i
\(173\) 18.2044 + 4.00709i 0.00800031 + 0.00176100i 0.218969 0.975732i \(-0.429731\pi\)
−0.210968 + 0.977493i \(0.567662\pi\)
\(174\) −71.1049 + 83.7111i −0.0309796 + 0.0364720i
\(175\) 1226.72 + 133.414i 0.529895 + 0.0576295i
\(176\) −1216.82 −0.521142
\(177\) 1285.94 + 441.322i 0.546086 + 0.187411i
\(178\) 725.146 0.305348
\(179\) 3007.44 + 327.078i 1.25579 + 0.136575i 0.711719 0.702464i \(-0.247917\pi\)
0.544071 + 0.839039i \(0.316882\pi\)
\(180\) 729.267 858.559i 0.301980 0.355518i
\(181\) 3071.97 + 676.192i 1.26154 + 0.277685i 0.794887 0.606758i \(-0.207530\pi\)
0.466649 + 0.884443i \(0.345461\pi\)
\(182\) 3.19954 + 2.43223i 0.00130311 + 0.000990596i
\(183\) −1520.54 + 1440.34i −0.614218 + 0.581818i
\(184\) −92.4688 + 232.079i −0.0370483 + 0.0929842i
\(185\) −4590.53 1546.73i −1.82434 0.614691i
\(186\) 9.82693 + 59.9416i 0.00387390 + 0.0236297i
\(187\) −963.942 913.094i −0.376954 0.357070i
\(188\) −970.628 + 449.060i −0.376544 + 0.174208i
\(189\) 174.340 132.530i 0.0670972 0.0510060i
\(190\) −43.9737 + 268.227i −0.0167904 + 0.102417i
\(191\) −902.213 + 1701.75i −0.341790 + 0.644684i −0.993506 0.113779i \(-0.963704\pi\)
0.651716 + 0.758463i \(0.274049\pi\)
\(192\) 985.271 216.875i 0.370343 0.0815186i
\(193\) −1758.76 813.689i −0.655949 0.303475i 0.0635386 0.997979i \(-0.479761\pi\)
−0.719488 + 0.694505i \(0.755623\pi\)
\(194\) −307.771 772.447i −0.113900 0.285868i
\(195\) −1.93089 35.6132i −0.000709098 0.0130785i
\(196\) −1169.65 1725.10i −0.426257 0.628682i
\(197\) 177.519 + 208.992i 0.0642015 + 0.0755839i 0.793325 0.608798i \(-0.208348\pi\)
−0.729124 + 0.684382i \(0.760072\pi\)
\(198\) −67.5682 127.447i −0.0242518 0.0457438i
\(199\) 1601.88 539.736i 0.570624 0.192266i −0.0191743 0.999816i \(-0.506104\pi\)
0.589798 + 0.807551i \(0.299207\pi\)
\(200\) −88.6878 + 1635.75i −0.0313559 + 0.578325i
\(201\) 948.368 570.614i 0.332800 0.200239i
\(202\) −197.150 710.070i −0.0686705 0.247329i
\(203\) −114.494 + 412.369i −0.0395856 + 0.142575i
\(204\) 1110.91 + 668.412i 0.381271 + 0.229403i
\(205\) 1050.41 1549.24i 0.357873 0.527823i
\(206\) −171.488 + 18.6504i −0.0580006 + 0.00630795i
\(207\) 207.585 22.5763i 0.0697013 0.00758048i
\(208\) 21.1111 31.1366i 0.00703747 0.0103795i
\(209\) −465.752 280.234i −0.154147 0.0927473i
\(210\) −75.1933 + 270.822i −0.0247087 + 0.0889928i
\(211\) −446.039 1606.49i −0.145529 0.524147i −0.999989 0.00463081i \(-0.998526\pi\)
0.854461 0.519516i \(-0.173888\pi\)
\(212\) −250.695 + 150.838i −0.0812162 + 0.0488662i
\(213\) 161.134 2971.94i 0.0518343 0.956027i
\(214\) −436.743 + 147.156i −0.139510 + 0.0470063i
\(215\) −1878.17 3542.61i −0.595769 1.12374i
\(216\) 188.214 + 221.582i 0.0592885 + 0.0697998i
\(217\) 132.822 + 195.898i 0.0415510 + 0.0612832i
\(218\) −4.43162 81.7365i −0.00137682 0.0253940i
\(219\) 497.612 + 1248.91i 0.153541 + 0.385359i
\(220\) −2624.01 1214.00i −0.804140 0.372035i
\(221\) 40.0887 8.82418i 0.0122021 0.00268588i
\(222\) 283.717 535.147i 0.0857741 0.161787i
\(223\) −602.210 + 3673.32i −0.180838 + 1.10307i 0.727895 + 0.685688i \(0.240499\pi\)
−0.908734 + 0.417377i \(0.862950\pi\)
\(224\) −792.230 + 602.237i −0.236308 + 0.179637i
\(225\) 1242.67 574.920i 0.368198 0.170347i
\(226\) 66.5555 + 63.0447i 0.0195894 + 0.0185561i
\(227\) 333.090 + 2031.76i 0.0973918 + 0.594063i 0.989758 + 0.142752i \(0.0455953\pi\)
−0.892367 + 0.451311i \(0.850956\pi\)
\(228\) 502.978 + 169.473i 0.146099 + 0.0492264i
\(229\) 814.472 2044.17i 0.235030 0.589880i −0.763398 0.645928i \(-0.776471\pi\)
0.998428 + 0.0560479i \(0.0178499\pi\)
\(230\) −194.563 + 184.300i −0.0557787 + 0.0528364i
\(231\) −447.463 340.153i −0.127450 0.0968849i
\(232\) −554.871 122.136i −0.157022 0.0345631i
\(233\) −1329.27 + 1564.94i −0.373749 + 0.440012i −0.916593 0.399822i \(-0.869072\pi\)
0.542843 + 0.839834i \(0.317348\pi\)
\(234\) 4.43346 + 0.482168i 0.00123857 + 0.000134702i
\(235\) −2368.00 −0.657324
\(236\) 532.396 + 3365.47i 0.146847 + 0.928276i
\(237\) −1624.87 −0.445345
\(238\) −321.590 34.9751i −0.0875866 0.00952562i
\(239\) 1385.99 1631.71i 0.375114 0.441618i −0.541918 0.840431i \(-0.682302\pi\)
0.917032 + 0.398813i \(0.130578\pi\)
\(240\) 2569.30 + 565.547i 0.691033 + 0.152108i
\(241\) −5437.22 4133.27i −1.45329 1.10476i −0.973852 0.227182i \(-0.927049\pi\)
−0.479434 0.877578i \(-0.659158\pi\)
\(242\) 401.689 380.500i 0.106701 0.101072i
\(243\) 89.9436 225.741i 0.0237444 0.0595939i
\(244\) −4974.25 1676.02i −1.30510 0.439739i
\(245\) −746.603 4554.08i −0.194689 1.18755i
\(246\) 169.916 + 160.953i 0.0440383 + 0.0417153i
\(247\) 15.2513 7.05602i 0.00392882 0.00181767i
\(248\) −250.139 + 190.151i −0.0640478 + 0.0486878i
\(249\) 461.010 2812.04i 0.117331 0.715686i
\(250\) −146.818 + 276.929i −0.0371424 + 0.0700580i
\(251\) 5937.83 1307.02i 1.49320 0.328678i 0.608017 0.793924i \(-0.291965\pi\)
0.885181 + 0.465247i \(0.154034\pi\)
\(252\) 498.115 + 230.452i 0.124517 + 0.0576077i
\(253\) −198.369 497.869i −0.0492939 0.123718i
\(254\) −4.26556 78.6736i −0.00105372 0.0194347i
\(255\) 1610.98 + 2376.01i 0.395621 + 0.583497i
\(256\) 1195.94 + 1407.97i 0.291977 + 0.343742i
\(257\) −2785.39 5253.79i −0.676061 1.27519i −0.949642 0.313337i \(-0.898553\pi\)
0.273582 0.961849i \(-0.411792\pi\)
\(258\) 475.125 160.088i 0.114651 0.0386304i
\(259\) 127.775 2356.67i 0.0306547 0.565392i
\(260\) 76.5897 46.0825i 0.0182688 0.0109920i
\(261\) 127.044 + 457.571i 0.0301296 + 0.108517i
\(262\) −6.85450 + 24.6877i −0.00161631 + 0.00582141i
\(263\) 4342.57 + 2612.84i 1.01815 + 0.612603i 0.923776 0.382933i \(-0.125086\pi\)
0.0943784 + 0.995536i \(0.469914\pi\)
\(264\) 418.750 617.611i 0.0976224 0.143982i
\(265\) −644.015 + 70.0409i −0.149289 + 0.0162361i
\(266\) −131.654 + 14.3182i −0.0303466 + 0.00330039i
\(267\) 1759.47 2595.03i 0.403288 0.594805i
\(268\) 2376.79 + 1430.07i 0.541736 + 0.325952i
\(269\) 546.383 1967.89i 0.123842 0.446039i −0.875464 0.483283i \(-0.839444\pi\)
0.999306 + 0.0372440i \(0.0118579\pi\)
\(270\) 83.4357 + 300.508i 0.0188064 + 0.0677346i
\(271\) −3010.38 + 1811.28i −0.674787 + 0.406006i −0.811298 0.584632i \(-0.801239\pi\)
0.136511 + 0.990639i \(0.456411\pi\)
\(272\) −163.925 + 3023.43i −0.0365420 + 0.673978i
\(273\) 16.4673 5.54847i 0.00365071 0.00123007i
\(274\) −633.803 1195.48i −0.139743 0.263582i
\(275\) −2275.08 2678.43i −0.498882 0.587329i
\(276\) 293.678 + 433.142i 0.0640483 + 0.0944641i
\(277\) −233.380 4304.45i −0.0506226 0.933679i −0.907995 0.418982i \(-0.862387\pi\)
0.857372 0.514697i \(-0.172096\pi\)
\(278\) −97.3524 244.336i −0.0210029 0.0527133i
\(279\) 238.352 + 110.273i 0.0511461 + 0.0236627i
\(280\) −1419.92 + 312.549i −0.303060 + 0.0667085i
\(281\) −2443.12 + 4608.21i −0.518662 + 0.978301i 0.476417 + 0.879220i \(0.341935\pi\)
−0.995079 + 0.0990816i \(0.968410\pi\)
\(282\) 47.9026 292.193i 0.0101155 0.0617016i
\(283\) −6848.28 + 5205.92i −1.43847 + 1.09350i −0.459812 + 0.888016i \(0.652083\pi\)
−0.978661 + 0.205482i \(0.934124\pi\)
\(284\) 6769.75 3132.02i 1.41448 0.654406i
\(285\) 853.189 + 808.183i 0.177328 + 0.167974i
\(286\) −1.85177 11.2953i −0.000382858 0.00233533i
\(287\) 864.221 + 291.190i 0.177747 + 0.0598899i
\(288\) −408.718 + 1025.81i −0.0836248 + 0.209882i
\(289\) 1168.19 1106.57i 0.237775 0.225232i
\(290\) −485.204 368.843i −0.0982488 0.0746868i
\(291\) −3511.06 772.843i −0.707292 0.155687i
\(292\) −2181.24 + 2567.96i −0.437149 + 0.514651i
\(293\) −3728.97 405.550i −0.743511 0.0808617i −0.271481 0.962444i \(-0.587513\pi\)
−0.472030 + 0.881582i \(0.656479\pi\)
\(294\) 577.042 0.114469
\(295\) −2059.03 + 7257.97i −0.406378 + 1.43246i
\(296\) 3133.22 0.615252
\(297\) −620.030 67.4324i −0.121137 0.0131745i
\(298\) −1224.48 + 1441.57i −0.238028 + 0.280228i
\(299\) 16.1813 + 3.56178i 0.00312974 + 0.000688907i
\(300\) 2731.81 + 2076.67i 0.525737 + 0.399655i
\(301\) 1418.30 1343.49i 0.271593 0.257266i
\(302\) 735.500 1845.97i 0.140143 0.351733i
\(303\) −3019.43 1017.37i −0.572482 0.192891i
\(304\) 200.538 + 1223.23i 0.0378343 + 0.230779i
\(305\) −8437.69 7992.61i −1.58407 1.50051i
\(306\) −325.771 + 150.718i −0.0608597 + 0.0281567i
\(307\) −2253.93 + 1713.39i −0.419017 + 0.318529i −0.793350 0.608766i \(-0.791665\pi\)
0.374333 + 0.927294i \(0.377872\pi\)
\(308\) 227.896 1390.10i 0.0421610 0.257171i
\(309\) −349.350 + 658.944i −0.0643166 + 0.121314i
\(310\) −329.184 + 72.4588i −0.0603109 + 0.0132754i
\(311\) 3862.84 + 1787.14i 0.704314 + 0.325850i 0.739148 0.673543i \(-0.235228\pi\)
−0.0348343 + 0.999393i \(0.511090\pi\)
\(312\) 8.53867 + 21.4304i 0.00154938 + 0.00388865i
\(313\) −276.110 5092.54i −0.0498615 0.919641i −0.911291 0.411763i \(-0.864913\pi\)
0.861429 0.507877i \(-0.169570\pi\)
\(314\) 1139.85 + 1681.15i 0.204858 + 0.302142i
\(315\) 786.723 + 926.202i 0.140720 + 0.165668i
\(316\) −1907.47 3597.86i −0.339567 0.640492i
\(317\) −427.561 + 144.062i −0.0757547 + 0.0255247i −0.356924 0.934134i \(-0.616174\pi\)
0.281169 + 0.959658i \(0.409278\pi\)
\(318\) 4.38537 80.8835i 0.000773332 0.0142633i
\(319\) 1044.37 628.375i 0.183302 0.110289i
\(320\) 1497.70 + 5394.22i 0.261637 + 0.942332i
\(321\) −533.083 + 1919.99i −0.0926909 + 0.333843i
\(322\) −111.881 67.3168i −0.0193631 0.0116504i
\(323\) −759.042 + 1119.50i −0.130756 + 0.192851i
\(324\) 605.433 65.8448i 0.103812 0.0112903i
\(325\) 108.009 11.7466i 0.0184346 0.00200488i
\(326\) 1003.65 1480.27i 0.170512 0.251486i
\(327\) −303.257 182.464i −0.0512848 0.0308571i
\(328\) −323.891 + 1166.55i −0.0545241 + 0.196378i
\(329\) −308.656 1111.68i −0.0517227 0.186288i
\(330\) 685.884 412.683i 0.114414 0.0688407i
\(331\) 332.622 6134.85i 0.0552343 1.01874i −0.831227 0.555933i \(-0.812361\pi\)
0.886461 0.462803i \(-0.153156\pi\)
\(332\) 6767.73 2280.31i 1.11876 0.376953i
\(333\) −1226.69 2313.78i −0.201868 0.380764i
\(334\) −1526.33 1796.93i −0.250051 0.294383i
\(335\) 3446.68 + 5083.47i 0.562126 + 0.829074i
\(336\) 69.3941 + 1279.90i 0.0112671 + 0.207810i
\(337\) 3540.41 + 8885.75i 0.572280 + 1.43631i 0.875418 + 0.483367i \(0.160586\pi\)
−0.303138 + 0.952947i \(0.598034\pi\)
\(338\) −1383.20 639.936i −0.222592 0.102982i
\(339\) 387.101 85.2074i 0.0620190 0.0136514i
\(340\) −3369.92 + 6356.34i −0.537528 + 1.01389i
\(341\) 109.050 665.177i 0.0173179 0.105634i
\(342\) −116.983 + 88.9282i −0.0184962 + 0.0140605i
\(343\) 4565.55 2112.25i 0.718707 0.332509i
\(344\) 1882.88 + 1783.56i 0.295110 + 0.279543i
\(345\) 187.458 + 1143.45i 0.0292534 + 0.178438i
\(346\) −12.2567 4.12975i −0.00190440 0.000641666i
\(347\) −1730.90 + 4344.22i −0.267779 + 0.672075i −0.999959 0.00903638i \(-0.997124\pi\)
0.732180 + 0.681111i \(0.238503\pi\)
\(348\) −864.036 + 818.458i −0.133095 + 0.126075i
\(349\) −373.675 284.060i −0.0573133 0.0435685i 0.576125 0.817361i \(-0.304564\pi\)
−0.633439 + 0.773793i \(0.718357\pi\)
\(350\) −836.177 184.057i −0.127702 0.0281092i
\(351\) 12.4827 14.6958i 0.00189823 0.00223476i
\(352\) 2817.52 + 306.424i 0.426631 + 0.0463990i
\(353\) 5955.55 0.897966 0.448983 0.893540i \(-0.351786\pi\)
0.448983 + 0.893540i \(0.351786\pi\)
\(354\) −853.926 400.892i −0.128208 0.0601897i
\(355\) 16515.9 2.46922
\(356\) 7811.50 + 849.552i 1.16295 + 0.126478i
\(357\) −905.459 + 1065.99i −0.134235 + 0.158034i
\(358\) −2049.97 451.233i −0.302638 0.0666157i
\(359\) −1241.82 944.009i −0.182565 0.138782i 0.509900 0.860234i \(-0.329682\pi\)
−0.692465 + 0.721451i \(0.743475\pi\)
\(360\) −1171.24 + 1109.46i −0.171472 + 0.162427i
\(361\) 2333.83 5857.46i 0.340257 0.853982i
\(362\) −2068.30 696.891i −0.300297 0.101182i
\(363\) −387.021 2360.73i −0.0559596 0.341339i
\(364\) 31.6169 + 29.9491i 0.00455268 + 0.00431253i
\(365\) −6770.71 + 3132.47i −0.970946 + 0.449207i
\(366\) 1156.91 879.464i 0.165226 0.125602i
\(367\) 26.4946 161.610i 0.00376841 0.0229863i −0.984875 0.173264i \(-0.944569\pi\)
0.988644 + 0.150278i \(0.0480168\pi\)
\(368\) −572.472 + 1079.80i −0.0810929 + 0.152957i
\(369\) 988.267 217.534i 0.139423 0.0306893i
\(370\) 3050.48 + 1411.30i 0.428613 + 0.198298i
\(371\) −116.825 293.210i −0.0163484 0.0410315i
\(372\) 35.6336 + 657.222i 0.00496644 + 0.0916005i
\(373\) 7131.44 + 10518.1i 0.989952 + 1.46007i 0.884999 + 0.465592i \(0.154159\pi\)
0.104952 + 0.994477i \(0.466531\pi\)
\(374\) 596.421 + 702.161i 0.0824604 + 0.0970799i
\(375\) 634.789 + 1197.34i 0.0874142 + 0.164881i
\(376\) 1451.47 489.058i 0.199080 0.0670777i
\(377\) −2.04001 + 37.6258i −0.000278690 + 0.00514013i
\(378\) −130.201 + 78.3393i −0.0177164 + 0.0106596i
\(379\) 292.098 + 1052.04i 0.0395886 + 0.142585i 0.980703 0.195502i \(-0.0626337\pi\)
−0.941115 + 0.338088i \(0.890220\pi\)
\(380\) −787.942 + 2837.91i −0.106370 + 0.383110i
\(381\) −291.893 175.626i −0.0392497 0.0236158i
\(382\) 750.005 1106.18i 0.100454 0.148159i
\(383\) 843.539 91.7404i 0.112540 0.0122395i −0.0516757 0.998664i \(-0.516456\pi\)
0.164216 + 0.986424i \(0.447491\pi\)
\(384\) −3623.26 + 394.053i −0.481507 + 0.0523670i
\(385\) 1750.35 2581.58i 0.231705 0.341739i
\(386\) 1152.14 + 693.218i 0.151923 + 0.0914090i
\(387\) 579.932 2088.73i 0.0761746 0.274356i
\(388\) −2410.44 8681.60i −0.315390 1.13593i
\(389\) −4195.74 + 2524.49i −0.546870 + 0.329041i −0.762034 0.647537i \(-0.775799\pi\)
0.215164 + 0.976578i \(0.430971\pi\)
\(390\) −1.33977 + 24.7106i −0.000173954 + 0.00320839i
\(391\) −1263.78 + 425.817i −0.163458 + 0.0550754i
\(392\) 1398.18 + 2637.24i 0.180150 + 0.339798i
\(393\) 71.7163 + 84.4310i 0.00920512 + 0.0108371i
\(394\) −106.773 157.478i −0.0136527 0.0201362i
\(395\) −488.150 9003.39i −0.0621809 1.14686i
\(396\) −578.553 1452.06i −0.0734177 0.184264i
\(397\) −4911.89 2272.48i −0.620960 0.287286i 0.0840750 0.996459i \(-0.473206\pi\)
−0.705035 + 0.709173i \(0.749069\pi\)
\(398\) −1145.46 + 252.134i −0.144263 + 0.0317546i
\(399\) −268.200 + 505.880i −0.0336512 + 0.0634728i
\(400\) −1296.53 + 7908.49i −0.162066 + 0.988561i
\(401\) −7947.20 + 6041.31i −0.989687 + 0.752340i −0.968902 0.247444i \(-0.920409\pi\)
−0.0207845 + 0.999784i \(0.506616\pi\)
\(402\) −696.985 + 322.460i −0.0864738 + 0.0400070i
\(403\) 15.1290 + 14.3309i 0.00187004 + 0.00177140i
\(404\) −1291.87 7880.07i −0.159092 0.970416i
\(405\) 1277.85 + 430.558i 0.156783 + 0.0528262i
\(406\) 109.913 275.860i 0.0134357 0.0337210i
\(407\) −4879.82 + 4622.41i −0.594309 + 0.562959i
\(408\) −1478.17 1123.67i −0.179363 0.136348i
\(409\) 5576.47 + 1227.47i 0.674178 + 0.148398i 0.538848 0.842403i \(-0.318860\pi\)
0.135329 + 0.990801i \(0.456791\pi\)
\(410\) −840.791 + 989.855i −0.101277 + 0.119233i
\(411\) −5816.01 632.529i −0.698011 0.0759133i
\(412\) −1869.17 −0.223513
\(413\) −3675.71 20.5938i −0.437941 0.00245365i
\(414\) −144.885 −0.0171997
\(415\) 15720.0 + 1709.65i 1.85943 + 0.202225i
\(416\) −56.7234 + 66.7800i −0.00668532 + 0.00787057i
\(417\) −1110.60 244.461i −0.130423 0.0287082i
\(418\) 300.250 + 228.244i 0.0351332 + 0.0267076i
\(419\) 2158.77 2044.89i 0.251701 0.238424i −0.551438 0.834216i \(-0.685920\pi\)
0.803139 + 0.595792i \(0.203162\pi\)
\(420\) −1127.29 + 2829.28i −0.130967 + 0.328702i
\(421\) −535.750 180.515i −0.0620211 0.0208973i 0.288120 0.957594i \(-0.406970\pi\)
−0.350141 + 0.936697i \(0.613866\pi\)
\(422\) 187.157 + 1141.60i 0.0215892 + 0.131688i
\(423\) −929.420 880.393i −0.106832 0.101197i
\(424\) 380.286 175.939i 0.0435573 0.0201518i
\(425\) −6961.59 + 5292.07i −0.794557 + 0.604007i
\(426\) −334.102 + 2037.93i −0.0379984 + 0.231780i
\(427\) 2652.39 5002.95i 0.300605 0.567001i
\(428\) −4877.13 + 1073.54i −0.550806 + 0.121241i
\(429\) −44.9146 20.7797i −0.00505478 0.00233859i
\(430\) 1029.79 + 2584.57i 0.115490 + 0.289858i
\(431\) 832.498 + 15354.5i 0.0930395 + 1.71601i 0.557298 + 0.830312i \(0.311838\pi\)
−0.464259 + 0.885699i \(0.653679\pi\)
\(432\) 798.167 + 1177.21i 0.0888931 + 0.131108i
\(433\) 4740.14 + 5580.53i 0.526089 + 0.619360i 0.959456 0.281857i \(-0.0909505\pi\)
−0.433367 + 0.901218i \(0.642675\pi\)
\(434\) −76.9238 145.094i −0.00850797 0.0160477i
\(435\) −2497.23 + 841.415i −0.275249 + 0.0927420i
\(436\) 48.0203 885.683i 0.00527467 0.0972856i
\(437\) −467.800 + 281.466i −0.0512080 + 0.0308108i
\(438\) −249.557 898.822i −0.0272244 0.0980533i
\(439\) 2696.50 9711.92i 0.293159 1.05586i −0.659470 0.751731i \(-0.729219\pi\)
0.952629 0.304134i \(-0.0983670\pi\)
\(440\) 3547.98 + 2134.75i 0.384416 + 0.231296i
\(441\) 1400.12 2065.02i 0.151184 0.222980i
\(442\) −28.3149 + 3.07943i −0.00304706 + 0.000331388i
\(443\) −3676.44 + 399.837i −0.394295 + 0.0428822i −0.303119 0.952953i \(-0.598028\pi\)
−0.0911759 + 0.995835i \(0.529063\pi\)
\(444\) 3683.24 5432.38i 0.393691 0.580651i
\(445\) 14907.6 + 8969.61i 1.58806 + 0.955506i
\(446\) 690.971 2488.65i 0.0733597 0.264218i
\(447\) 2187.80 + 7879.74i 0.231497 + 0.833778i
\(448\) −2337.15 + 1406.22i −0.246473 + 0.148298i
\(449\) 521.923 9626.31i 0.0548577 1.01179i −0.833466 0.552571i \(-0.813647\pi\)
0.888323 0.459219i \(-0.151871\pi\)
\(450\) −900.316 + 303.352i −0.0943140 + 0.0317781i
\(451\) −1216.56 2294.67i −0.127019 0.239583i
\(452\) 643.096 + 757.111i 0.0669218 + 0.0787865i
\(453\) −4821.42 7111.07i −0.500067 0.737543i
\(454\) −77.3415 1426.48i −0.00799519 0.147463i
\(455\) 35.6912 + 89.5781i 0.00367742 + 0.00922964i
\(456\) −689.877 319.171i −0.0708475 0.0327775i
\(457\) −3979.41 + 875.935i −0.407328 + 0.0896597i −0.413908 0.910319i \(-0.635837\pi\)
0.00657994 + 0.999978i \(0.497906\pi\)
\(458\) −715.170 + 1348.95i −0.0729644 + 0.137625i
\(459\) −251.078 + 1531.51i −0.0255323 + 0.155740i
\(460\) −2311.81 + 1757.39i −0.234323 + 0.178128i
\(461\) 11641.9 5386.13i 1.17618 0.544158i 0.268277 0.963342i \(-0.413546\pi\)
0.907901 + 0.419184i \(0.137684\pi\)
\(462\) 283.139 + 268.204i 0.0285126 + 0.0270086i
\(463\) 1555.53 + 9488.33i 0.156138 + 0.952397i 0.942396 + 0.334499i \(0.108567\pi\)
−0.786258 + 0.617898i \(0.787984\pi\)
\(464\) −2633.99 887.494i −0.263534 0.0887950i
\(465\) −539.418 + 1353.84i −0.0537955 + 0.135016i
\(466\) 1034.32 979.765i 0.102820 0.0973964i
\(467\) −8453.24 6425.98i −0.837621 0.636743i 0.0958498 0.995396i \(-0.469443\pi\)
−0.933471 + 0.358653i \(0.883236\pi\)
\(468\) 47.1937 + 10.3881i 0.00466139 + 0.00102605i
\(469\) −1937.23 + 2280.68i −0.190731 + 0.224546i
\(470\) 1633.43 + 177.646i 0.160307 + 0.0174345i
\(471\) 8781.89 0.859125
\(472\) −236.883 4874.04i −0.0231005 0.475309i
\(473\) −5563.74 −0.540848
\(474\) 1120.82 + 121.897i 0.108610 + 0.0118121i
\(475\) −2317.60 + 2728.49i −0.223871 + 0.263561i
\(476\) −3423.30 753.524i −0.329636 0.0725583i
\(477\) −278.811 211.947i −0.0267628 0.0203446i
\(478\) −1078.46 + 1021.57i −0.103196 + 0.0977520i
\(479\) −3005.67 + 7543.67i −0.286707 + 0.719581i 0.713121 + 0.701041i \(0.247281\pi\)
−0.999828 + 0.0185398i \(0.994098\pi\)
\(480\) −5806.77 1956.53i −0.552170 0.186048i
\(481\) −33.6185 205.064i −0.00318685 0.0194389i
\(482\) 3440.48 + 3259.00i 0.325124 + 0.307974i
\(483\) −512.367 + 237.046i −0.0482681 + 0.0223312i
\(484\) 4772.89 3628.26i 0.448243 0.340746i
\(485\) 3227.51 19686.9i 0.302172 1.84317i
\(486\) −78.9775 + 148.967i −0.00737138 + 0.0139039i
\(487\) 3679.64 809.950i 0.342383 0.0753641i −0.0404508 0.999182i \(-0.512879\pi\)
0.382833 + 0.923817i \(0.374948\pi\)
\(488\) 6822.61 + 3156.47i 0.632879 + 0.292801i
\(489\) −2862.11 7183.35i −0.264681 0.664299i
\(490\) 173.357 + 3197.38i 0.0159826 + 0.294782i
\(491\) −3794.69 5596.75i −0.348782 0.514416i 0.612319 0.790611i \(-0.290237\pi\)
−0.961102 + 0.276195i \(0.910926\pi\)
\(492\) 1641.82 + 1932.90i 0.150445 + 0.177117i
\(493\) −1420.63 2679.59i −0.129781 0.244793i
\(494\) −11.0496 + 3.72305i −0.00100637 + 0.000339085i
\(495\) 187.370 3455.84i 0.0170135 0.313795i
\(496\) −1317.12 + 792.484i −0.119235 + 0.0717411i
\(497\) 2152.76 + 7753.53i 0.194295 + 0.699786i
\(498\) −528.960 + 1905.14i −0.0475969 + 0.171429i
\(499\) −8469.45 5095.90i −0.759809 0.457162i 0.0822065 0.996615i \(-0.473803\pi\)
−0.842015 + 0.539453i \(0.818631\pi\)
\(500\) −1906.01 + 2811.16i −0.170479 + 0.251437i
\(501\) −10134.0 + 1102.14i −0.903699 + 0.0982831i
\(502\) −4193.93 + 456.117i −0.372877 + 0.0405528i
\(503\) 2877.89 4244.57i 0.255107 0.376255i −0.678472 0.734626i \(-0.737358\pi\)
0.933579 + 0.358372i \(0.116668\pi\)
\(504\) −673.511 405.238i −0.0595249 0.0358149i
\(505\) 4730.10 17036.3i 0.416806 1.50120i
\(506\) 99.4838 + 358.308i 0.00874030 + 0.0314797i
\(507\) −5646.23 + 3397.23i −0.494592 + 0.297586i
\(508\) 46.2209 852.493i 0.00403685 0.0744553i
\(509\) 21306.1 7178.86i 1.85536 0.625142i 0.862464 0.506118i \(-0.168920\pi\)
0.992891 0.119024i \(-0.0379764\pi\)
\(510\) −932.994 1759.81i −0.0810072 0.152796i
\(511\) −2353.09 2770.27i −0.203708 0.239823i
\(512\) −6173.50 9105.23i −0.532876 0.785934i
\(513\) 34.3967 + 634.410i 0.00296034 + 0.0546002i
\(514\) 1527.20 + 3832.99i 0.131055 + 0.328922i
\(515\) −3756.15 1737.78i −0.321390 0.148691i
\(516\) 5305.74 1167.88i 0.452659 0.0996379i
\(517\) −1539.09 + 2903.02i −0.130926 + 0.246953i
\(518\) −264.935 + 1616.03i −0.0224722 + 0.137074i
\(519\) −44.5179 + 33.8417i −0.00376517 + 0.00286220i
\(520\) −116.181 + 53.7509i −0.00979781 + 0.00453295i
\(521\) −14586.0 13816.5i −1.22653 1.16183i −0.981324 0.192360i \(-0.938386\pi\)
−0.245205 0.969471i \(-0.578855\pi\)
\(522\) −53.3074 325.161i −0.00446973 0.0272642i
\(523\) 295.949 + 99.7168i 0.0247437 + 0.00833712i 0.331646 0.943404i \(-0.392396\pi\)
−0.306902 + 0.951741i \(0.599293\pi\)
\(524\) −102.762 + 257.913i −0.00856712 + 0.0215018i
\(525\) −2687.54 + 2545.78i −0.223417 + 0.211632i
\(526\) −2799.47 2128.10i −0.232058 0.176406i
\(527\) −1638.08 360.568i −0.135400 0.0298038i
\(528\) 2363.25 2782.23i 0.194786 0.229320i
\(529\) 11560.5 + 1257.28i 0.950156 + 0.103336i
\(530\) 449.492 0.0368390
\(531\) −3506.58 + 2083.17i −0.286577 + 0.170248i
\(532\) −1434.99 −0.116945
\(533\) 79.8241 + 8.68139i 0.00648699 + 0.000705502i
\(534\) −1408.35 + 1658.04i −0.114130 + 0.134364i
\(535\) −10798.8 2377.00i −0.872660 0.192087i
\(536\) −3162.53 2404.09i −0.254852 0.193733i
\(537\) −6588.78 + 6241.22i −0.529473 + 0.501543i
\(538\) −524.522 + 1316.45i −0.0420330 + 0.105495i
\(539\) −6068.28 2044.64i −0.484934 0.163393i
\(540\) 546.732 + 3334.92i 0.0435696 + 0.265763i
\(541\) −8572.23 8120.05i −0.681237 0.645302i 0.266693 0.963782i \(-0.414069\pi\)
−0.947930 + 0.318480i \(0.896828\pi\)
\(542\) 2212.42 1023.57i 0.175335 0.0811186i
\(543\) −7512.36 + 5710.75i −0.593713 + 0.451329i
\(544\) 1140.94 6959.42i 0.0899216 0.548497i
\(545\) 919.924 1735.16i 0.0723031 0.136378i
\(546\) −11.7753 + 2.59193i −0.000922957 + 0.000203158i
\(547\) −19959.6 9234.29i −1.56016 0.721809i −0.565478 0.824763i \(-0.691308\pi\)
−0.994686 + 0.102954i \(0.967171\pi\)
\(548\) −5426.95 13620.6i −0.423043 1.06176i
\(549\) −340.170 6274.06i −0.0264446 0.487742i
\(550\) 1368.40 + 2018.24i 0.106089 + 0.156469i
\(551\) −803.803 946.310i −0.0621473 0.0731654i
\(552\) −351.057 662.163i −0.0270688 0.0510571i
\(553\) 4163.10 1402.71i 0.320132 0.107865i
\(554\) −161.933 + 2986.69i −0.0124186 + 0.229047i
\(555\) 12452.1 7492.18i 0.952365 0.573019i
\(556\) −762.456 2746.12i −0.0581571 0.209463i
\(557\) 361.590 1302.33i 0.0275064 0.0990691i −0.948523 0.316709i \(-0.897422\pi\)
0.976029 + 0.217640i \(0.0698359\pi\)
\(558\) −156.141 93.9470i −0.0118458 0.00712741i
\(559\) 96.5281 142.368i 0.00730358 0.0107720i
\(560\) −7071.06 + 769.024i −0.533584 + 0.0580307i
\(561\) 3959.91 430.666i 0.298017 0.0324113i
\(562\) 2030.95 2995.43i 0.152439 0.224830i
\(563\) 13415.2 + 8071.64i 1.00423 + 0.604225i 0.919876 0.392210i \(-0.128289\pi\)
0.0843549 + 0.996436i \(0.473117\pi\)
\(564\) 858.343 3091.47i 0.0640829 0.230806i
\(565\) 588.428 + 2119.33i 0.0438148 + 0.157807i
\(566\) 5114.44 3077.26i 0.379816 0.228528i
\(567\) −35.5684 + 656.020i −0.00263445 + 0.0485895i
\(568\) −10123.5 + 3410.99i −0.747836 + 0.251975i
\(569\) −6711.13 12658.5i −0.494455 0.932642i −0.997653 0.0684706i \(-0.978188\pi\)
0.503198 0.864171i \(-0.332157\pi\)
\(570\) −527.894 621.485i −0.0387913 0.0456687i
\(571\) 2744.92 + 4048.45i 0.201176 + 0.296712i 0.914873 0.403743i \(-0.132291\pi\)
−0.713697 + 0.700455i \(0.752981\pi\)
\(572\) −6.71472 123.846i −0.000490833 0.00905288i
\(573\) −2138.80 5367.97i −0.155933 0.391362i
\(574\) −574.289 265.695i −0.0417602 0.0193203i
\(575\) −3447.18 + 758.781i −0.250013 + 0.0550320i
\(576\) −1417.67 + 2674.01i −0.102552 + 0.193433i
\(577\) −2876.32 + 17544.8i −0.207526 + 1.26585i 0.653357 + 0.757050i \(0.273360\pi\)
−0.860883 + 0.508803i \(0.830088\pi\)
\(578\) −888.823 + 675.666i −0.0639622 + 0.0486228i
\(579\) 5276.28 2441.07i 0.378713 0.175211i
\(580\) −4794.65 4541.73i −0.343253 0.325147i
\(581\) 1246.41 + 7602.73i 0.0890010 + 0.542882i
\(582\) 2363.93 + 796.500i 0.168364 + 0.0567285i
\(583\) −332.713 + 835.047i −0.0236356 + 0.0593210i
\(584\) 3503.19 3318.39i 0.248224 0.235130i
\(585\) 85.1792 + 64.7516i 0.00602005 + 0.00457632i
\(586\) 2541.79 + 559.491i 0.179182 + 0.0394409i
\(587\) −8770.98 + 10326.0i −0.616724 + 0.726064i −0.978510 0.206197i \(-0.933891\pi\)
0.361786 + 0.932261i \(0.382167\pi\)
\(588\) 6216.07 + 676.039i 0.435964 + 0.0474139i
\(589\) −686.654 −0.0480358
\(590\) 1964.80 4852.04i 0.137101 0.338568i
\(591\) −822.626 −0.0572560
\(592\) 15238.3 + 1657.26i 1.05792 + 0.115056i
\(593\) −14092.1 + 16590.5i −0.975874 + 1.14889i 0.0129675 + 0.999916i \(0.495872\pi\)
−0.988841 + 0.148972i \(0.952404\pi\)
\(594\) 422.634 + 93.0288i 0.0291934 + 0.00642596i
\(595\) −6178.66 4696.89i −0.425715 0.323620i
\(596\) −14879.4 + 14094.5i −1.02262 + 0.968680i
\(597\) −1877.01 + 4710.93i −0.128678 + 0.322957i
\(598\) −10.8946 3.67081i −0.000745005 0.000251021i
\(599\) 867.138 + 5289.31i 0.0591491 + 0.360794i 0.999772 + 0.0213409i \(0.00679355\pi\)
−0.940623 + 0.339453i \(0.889758\pi\)
\(600\) −3567.87 3379.67i −0.242763 0.229957i
\(601\) 5177.22 2395.24i 0.351387 0.162569i −0.236253 0.971692i \(-0.575919\pi\)
0.587640 + 0.809123i \(0.300057\pi\)
\(602\) −1079.12 + 820.327i −0.0730593 + 0.0555383i
\(603\) −537.180 + 3276.65i −0.0362781 + 0.221286i
\(604\) 10085.7 19023.6i 0.679438 1.28156i
\(605\) 12964.5 2853.70i 0.871209 0.191768i
\(606\) 2006.46 + 928.289i 0.134500 + 0.0622263i
\(607\) 3320.32 + 8333.37i 0.222022 + 0.557234i 0.997222 0.0744820i \(-0.0237303\pi\)
−0.775200 + 0.631716i \(0.782351\pi\)
\(608\) −156.304 2882.86i −0.0104259 0.192295i
\(609\) −720.511 1062.67i −0.0479419 0.0707089i
\(610\) 5220.66 + 6146.24i 0.346522 + 0.407957i
\(611\) −47.5819 89.7489i −0.00315050 0.00594248i
\(612\) −3685.88 + 1241.92i −0.243452 + 0.0820286i
\(613\) −1079.76 + 19914.9i −0.0711434 + 1.31216i 0.717174 + 0.696894i \(0.245435\pi\)
−0.788317 + 0.615269i \(0.789047\pi\)
\(614\) 1683.28 1012.80i 0.110638 0.0665686i
\(615\) 1502.25 + 5410.63i 0.0984987 + 0.354760i
\(616\) −539.717 + 1943.88i −0.0353016 + 0.127145i
\(617\) 6126.53 + 3686.21i 0.399748 + 0.240521i 0.701206 0.712959i \(-0.252646\pi\)
−0.301457 + 0.953480i \(0.597473\pi\)
\(618\) 290.413 428.327i 0.0189031 0.0278800i
\(619\) 29513.1 3209.75i 1.91637 0.208418i 0.929372 0.369145i \(-0.120350\pi\)
0.986999 + 0.160728i \(0.0513840\pi\)
\(620\) −3630.96 + 394.890i −0.235198 + 0.0255793i
\(621\) −351.543 + 518.488i −0.0227165 + 0.0335043i
\(622\) −2530.49 1522.55i −0.163125 0.0981488i
\(623\) −2267.74 + 8167.65i −0.145835 + 0.525249i
\(624\) 30.1922 + 108.742i 0.00193695 + 0.00697625i
\(625\) 9851.06 5927.19i 0.630468 0.379340i
\(626\) −191.582 + 3533.52i −0.0122319 + 0.225603i
\(627\) 1545.32 520.677i 0.0984274 0.0331640i
\(628\) 10309.2 + 19445.3i 0.655068 + 1.23559i
\(629\) 10827.9 + 12747.6i 0.686387 + 0.808077i
\(630\) −473.193 697.907i −0.0299245 0.0441354i
\(631\) 1417.34 + 26141.4i 0.0894193 + 1.64924i 0.607798 + 0.794091i \(0.292053\pi\)
−0.518379 + 0.855151i \(0.673464\pi\)
\(632\) 2158.66 + 5417.84i 0.135866 + 0.340997i
\(633\) 4539.48 + 2100.19i 0.285037 + 0.131872i
\(634\) 305.737 67.2977i 0.0191520 0.00421567i
\(635\) 885.451 1670.14i 0.0553355 0.104374i
\(636\) 142.000 866.164i 0.00885327 0.0540026i
\(637\) 157.601 119.805i 0.00980279 0.00745189i
\(638\) −767.538 + 355.101i −0.0476287 + 0.0220354i
\(639\) 6482.34 + 6140.40i 0.401311 + 0.380142i
\(640\) −3271.96 19958.1i −0.202087 1.23267i
\(641\) 21603.6 + 7279.11i 1.33119 + 0.448530i 0.892880 0.450294i \(-0.148681\pi\)
0.438309 + 0.898824i \(0.355578\pi\)
\(642\) 511.754 1284.41i 0.0314600 0.0789586i
\(643\) −11032.7 + 10450.7i −0.676650 + 0.640957i −0.946785 0.321865i \(-0.895690\pi\)
0.270135 + 0.962822i \(0.412932\pi\)
\(644\) −1126.36 856.233i −0.0689202 0.0523918i
\(645\) 11747.8 + 2585.89i 0.717163 + 0.157860i
\(646\) 607.567 715.283i 0.0370037 0.0435642i
\(647\) 15427.1 + 1677.80i 0.937409 + 0.101949i 0.564053 0.825739i \(-0.309241\pi\)
0.373356 + 0.927688i \(0.378207\pi\)
\(648\) −872.185 −0.0528745
\(649\) 7559.56 + 7241.58i 0.457225 + 0.437992i
\(650\) −75.3849 −0.00454898
\(651\) −705.881 76.7692i −0.0424972 0.00462185i
\(652\) 12545.8 14770.1i 0.753577 0.887179i
\(653\) −3520.30 774.876i −0.210965 0.0464368i 0.108231 0.994126i \(-0.465482\pi\)
−0.319195 + 0.947689i \(0.603413\pi\)
\(654\) 195.496 + 148.612i 0.0116889 + 0.00888564i
\(655\) −446.286 + 422.745i −0.0266227 + 0.0252183i
\(656\) −2192.26 + 5502.16i −0.130478 + 0.327474i
\(657\) −3822.06 1287.80i −0.226960 0.0764718i
\(658\) 129.511 + 789.984i 0.00767306 + 0.0468036i
\(659\) 8112.81 + 7684.86i 0.479560 + 0.454264i 0.888888 0.458124i \(-0.151478\pi\)
−0.409328 + 0.912387i \(0.634237\pi\)
\(660\) 7872.04 3641.99i 0.464271 0.214794i
\(661\) 3890.20 2957.26i 0.228913 0.174015i −0.484430 0.874830i \(-0.660973\pi\)
0.713343 + 0.700815i \(0.247180\pi\)
\(662\) −689.674 + 4206.82i −0.0404908 + 0.246983i
\(663\) −57.6822 + 108.800i −0.00337887 + 0.00637322i
\(664\) −9988.70 + 2198.68i −0.583790 + 0.128502i
\(665\) −2883.65 1334.12i −0.168155 0.0777968i
\(666\) 672.583 + 1688.06i 0.0391322 + 0.0982145i
\(667\) −66.2764 1222.40i −0.00384743 0.0709616i
\(668\) −14336.9 21145.3i −0.830405 1.22476i
\(669\) −7229.40 8511.11i −0.417795 0.491866i
\(670\) −1996.14 3765.11i −0.115101 0.217103i
\(671\) −15282.5 + 5149.29i −0.879249 + 0.296254i
\(672\) 161.629 2981.06i 0.00927821 0.171126i
\(673\) −6953.39 + 4183.72i −0.398267 + 0.239629i −0.700572 0.713582i \(-0.747072\pi\)
0.302305 + 0.953211i \(0.402244\pi\)
\(674\) −1775.54 6394.93i −0.101471 0.365465i
\(675\) −1098.91 + 3957.93i −0.0626626 + 0.225690i
\(676\) −14150.5 8514.08i −0.805104 0.484415i
\(677\) −7074.81 + 10434.6i −0.401635 + 0.592368i −0.973698 0.227842i \(-0.926833\pi\)
0.572063 + 0.820210i \(0.306143\pi\)
\(678\) −273.412 + 29.7354i −0.0154872 + 0.00168434i
\(679\) 9662.90 1050.90i 0.546139 0.0593962i
\(680\) 5782.18 8528.08i 0.326083 0.480937i
\(681\) −5292.50 3184.39i −0.297810 0.179187i
\(682\) −125.123 + 450.654i −0.00702526 + 0.0253027i
\(683\) 5108.77 + 18400.1i 0.286210 + 1.03084i 0.957214 + 0.289382i \(0.0934498\pi\)
−0.671003 + 0.741454i \(0.734136\pi\)
\(684\) −1364.36 + 820.909i −0.0762685 + 0.0458892i
\(685\) 1757.57 32416.5i 0.0980341 1.80813i
\(686\) −3307.75 + 1114.51i −0.184097 + 0.0620294i
\(687\) 3092.13 + 5832.38i 0.171721 + 0.323900i
\(688\) 8213.92 + 9670.17i 0.455164 + 0.535860i
\(689\) −15.5953 23.0013i −0.000862311 0.00127181i
\(690\) −43.5268 802.805i −0.00240150 0.0442931i
\(691\) 8690.62 + 21811.8i 0.478447 + 1.20081i 0.948104 + 0.317961i \(0.102998\pi\)
−0.469657 + 0.882849i \(0.655622\pi\)
\(692\) −127.194 58.8463i −0.00698728 0.00323266i
\(693\) 1646.80 362.488i 0.0902694 0.0198698i
\(694\) 1519.86 2866.76i 0.0831313 0.156802i
\(695\) 1020.91 6227.26i 0.0557198 0.339876i
\(696\) 1356.91 1031.50i 0.0738988 0.0561764i
\(697\) −5865.47 + 2713.66i −0.318753 + 0.147471i
\(698\) 236.448 + 223.976i 0.0128219 + 0.0121456i
\(699\) −996.557 6078.73i −0.0539245 0.328925i
\(700\) −8791.93 2962.34i −0.474719 0.159952i
\(701\) −1694.75 + 4253.50i −0.0913121 + 0.229176i −0.967539 0.252724i \(-0.918674\pi\)
0.876226 + 0.481900i \(0.160053\pi\)
\(702\) −9.71296 + 9.20060i −0.000522211 + 0.000494664i
\(703\) 5450.98 + 4143.73i 0.292443 + 0.222310i
\(704\) 7586.42 + 1669.90i 0.406142 + 0.0893986i
\(705\) 4599.03 5414.40i 0.245687 0.289245i
\(706\) −4108.10 446.783i −0.218995 0.0238171i
\(707\) 8614.39 0.458242
\(708\) −8729.09 5318.96i −0.463361 0.282343i
\(709\) −14846.0 −0.786394 −0.393197 0.919454i \(-0.628631\pi\)
−0.393197 + 0.919454i \(0.628631\pi\)
\(710\) −11392.5 1239.01i −0.602190 0.0654921i
\(711\) 3155.76 3715.24i 0.166456 0.195967i
\(712\) −10990.1 2419.11i −0.578473 0.127331i
\(713\) −538.971 409.715i −0.0283094 0.0215203i
\(714\) 704.550 667.385i 0.0369287 0.0349808i
\(715\) 101.647 255.114i 0.00531661 0.0133437i
\(716\) −21554.3 7262.49i −1.12503 0.379067i
\(717\) 1039.08 + 6338.09i 0.0541214 + 0.330126i
\(718\) 785.782 + 744.332i 0.0408428 + 0.0386884i
\(719\) 15923.7 7367.10i 0.825945 0.382123i 0.0390710 0.999236i \(-0.487560\pi\)
0.786874 + 0.617113i \(0.211698\pi\)
\(720\) −6283.11 + 4776.30i −0.325219 + 0.247225i
\(721\) 326.223 1989.87i 0.0168504 0.102783i
\(722\) −2049.28 + 3865.36i −0.105632 + 0.199243i
\(723\) 20010.6 4404.67i 1.02933 0.226572i
\(724\) −21463.9 9930.26i −1.10179 0.509745i
\(725\) −2971.23 7457.23i −0.152205 0.382006i
\(726\) 89.8642 + 1657.45i 0.00459390 + 0.0847295i
\(727\) −10112.0 14914.2i −0.515867 0.760846i 0.477150 0.878822i \(-0.341670\pi\)
−0.993016 + 0.117976i \(0.962360\pi\)
\(728\) −40.3774 47.5359i −0.00205561 0.00242005i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) 4905.39 1652.82i 0.248708 0.0837994i
\(731\) −749.529 + 13824.2i −0.0379238 + 0.699464i
\(732\) 13493.0 8118.46i 0.681305 0.409927i
\(733\) 4479.91 + 16135.2i 0.225742 + 0.813050i 0.986465 + 0.163973i \(0.0524310\pi\)
−0.760723 + 0.649077i \(0.775155\pi\)
\(734\) −30.3997 + 109.490i −0.00152871 + 0.00550591i
\(735\) 11862.9 + 7137.65i 0.595331 + 0.358199i
\(736\) 1597.47 2356.09i 0.0800048 0.117998i
\(737\) 8472.21 921.408i 0.423443 0.0460522i
\(738\) −698.019 + 75.9142i −0.0348163 + 0.00378650i
\(739\) −21501.5 + 31712.4i −1.07029 + 1.57856i −0.285943 + 0.958247i \(0.592307\pi\)
−0.784350 + 0.620318i \(0.787003\pi\)
\(740\) 31207.3 + 18776.8i 1.55027 + 0.932769i
\(741\) −13.4870 + 48.5759i −0.000668635 + 0.00240820i
\(742\) 58.5889 + 211.018i 0.00289874 + 0.0104403i
\(743\) −7639.99 + 4596.83i −0.377233 + 0.226974i −0.691525 0.722353i \(-0.743061\pi\)
0.314292 + 0.949326i \(0.398233\pi\)
\(744\) 51.0327 941.243i 0.00251472 0.0463812i
\(745\) −43004.3 + 14489.8i −2.11484 + 0.712572i
\(746\) −4130.16 7790.30i −0.202702 0.382337i
\(747\) 5534.33 + 6515.52i 0.271072 + 0.319130i
\(748\) 5602.21 + 8262.64i 0.273846 + 0.403893i
\(749\) −291.664 5379.43i −0.0142285 0.262430i
\(750\) −348.049 873.538i −0.0169453 0.0425294i
\(751\) −29897.9 13832.2i −1.45272 0.672098i −0.474609 0.880197i \(-0.657411\pi\)
−0.978108 + 0.208098i \(0.933273\pi\)
\(752\) 7317.85 1610.78i 0.354860 0.0781106i
\(753\) −8543.74 + 16115.2i −0.413481 + 0.779908i
\(754\) 4.22986 25.8010i 0.000204300 0.00124618i
\(755\) 37953.9 28851.8i 1.82951 1.39076i
\(756\) −1494.34 + 691.357i −0.0718899 + 0.0332598i
\(757\) 3703.73 + 3508.36i 0.177826 + 0.168446i 0.771436 0.636307i \(-0.219539\pi\)
−0.593610 + 0.804753i \(0.702298\pi\)
\(758\) −122.564 747.606i −0.00587298 0.0358236i
\(759\) 1523.63 + 513.372i 0.0728649 + 0.0245510i
\(760\) 1561.27 3918.49i 0.0745173 0.187024i
\(761\) 15943.3 15102.3i 0.759453 0.719393i −0.206404 0.978467i \(-0.566176\pi\)
0.965857 + 0.259074i \(0.0834175\pi\)
\(762\) 188.170 + 143.043i 0.00894580 + 0.00680042i
\(763\) 934.494 + 205.698i 0.0443394 + 0.00975984i
\(764\) 9375.24 11037.4i 0.443958 0.522668i
\(765\) −8561.50 931.119i −0.404629 0.0440061i
\(766\) −588.750 −0.0277708
\(767\) −316.456 + 67.8007i −0.0148977 + 0.00319184i
\(768\) −5542.00 −0.260390
\(769\) 6860.46 + 746.120i 0.321709 + 0.0349880i 0.267549 0.963544i \(-0.413786\pi\)
0.0541603 + 0.998532i \(0.482752\pi\)
\(770\) −1401.05 + 1649.45i −0.0655720 + 0.0771973i
\(771\) 17422.4 +