Properties

Label 503.2.c.a.2.13
Level $503$
Weight $2$
Character 503.2
Analytic conductor $4.016$
Analytic rank $0$
Dimension $10250$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 503 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 503.c (of order \(251\), degree \(250\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.01647522167\)
Analytic rank: \(0\)
Dimension: \(10250\)
Relative dimension: \(41\) over \(\Q(\zeta_{251})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{251}]$

Embedding invariants

Embedding label 2.13
Character \(\chi\) \(=\) 503.2
Dual form 503.2.c.a.252.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.945803 - 1.16449i) q^{2} +(-0.790504 + 0.684188i) q^{3} +(-0.0513814 + 0.245250i) q^{4} +(-0.107766 - 0.340345i) q^{5} +(1.54439 + 0.273425i) q^{6} +(0.296825 - 0.861848i) q^{7} +(-2.33318 + 1.20172i) q^{8} +(-0.273541 + 1.88727i) q^{9} +O(q^{10})\) \(q+(-0.945803 - 1.16449i) q^{2} +(-0.790504 + 0.684188i) q^{3} +(-0.0513814 + 0.245250i) q^{4} +(-0.107766 - 0.340345i) q^{5} +(1.54439 + 0.273425i) q^{6} +(0.296825 - 0.861848i) q^{7} +(-2.33318 + 1.20172i) q^{8} +(-0.273541 + 1.88727i) q^{9} +(-0.294402 + 0.447391i) q^{10} +(2.44073 - 0.789665i) q^{11} +(-0.127180 - 0.229026i) q^{12} +(-5.63196 + 1.90033i) q^{13} +(-1.28435 + 0.469489i) q^{14} +(0.318049 + 0.195312i) q^{15} +(4.06512 + 1.78153i) q^{16} +(-3.07927 - 1.53754i) q^{17} +(2.45642 - 1.46645i) q^{18} +(-0.257697 - 0.578148i) q^{19} +(0.0890067 - 0.00894219i) q^{20} +(0.355025 + 0.884379i) q^{21} +(-3.22800 - 2.09533i) q^{22} +(-2.21825 + 7.66748i) q^{23} +(1.02219 - 2.54630i) q^{24} +(3.98455 - 2.80449i) q^{25} +(7.53963 + 4.76100i) q^{26} +(-2.76618 - 4.32046i) q^{27} +(0.196117 + 0.117079i) q^{28} +(-0.698058 + 5.84303i) q^{29} +(-0.0733736 - 0.555090i) q^{30} +(0.275139 + 3.37445i) q^{31} +(-0.374722 - 1.35872i) q^{32} +(-1.38913 + 2.29415i) q^{33} +(1.12193 + 5.03998i) q^{34} +(-0.325313 - 0.00814513i) q^{35} +(-0.448798 - 0.164056i) q^{36} +(0.501595 + 0.633615i) q^{37} +(-0.429516 + 0.846899i) q^{38} +(3.15190 - 5.35554i) q^{39} +(0.660435 + 0.664581i) q^{40} +(-2.08494 + 10.6118i) q^{41} +(0.694065 - 1.24987i) q^{42} +(-0.678624 + 3.69811i) q^{43} +(0.0682574 + 0.639164i) q^{44} +(0.671800 - 0.110285i) q^{45} +(11.0267 - 4.66880i) q^{46} +(-3.27607 + 0.123071i) q^{47} +(-4.43240 + 1.37300i) q^{48} +(4.86080 + 3.79876i) q^{49} +(-7.03439 - 1.98747i) q^{50} +(3.48614 - 0.891369i) q^{51} +(-0.176680 - 1.47888i) q^{52} +(1.71696 - 3.85204i) q^{53} +(-2.41486 + 7.30748i) q^{54} +(-0.531785 - 0.745590i) q^{55} +(0.343152 + 2.36755i) q^{56} +(0.599273 + 0.280715i) q^{57} +(7.46436 - 4.71347i) q^{58} +(-3.88952 + 9.34874i) q^{59} +(-0.0642420 + 0.0679662i) q^{60} +(-0.738171 - 1.21910i) q^{61} +(3.66928 - 3.51196i) q^{62} +(1.54535 + 0.795940i) q^{63} +(3.92669 - 5.50542i) q^{64} +(1.25370 + 1.71201i) q^{65} +(3.98535 - 0.552194i) q^{66} +(-2.15732 + 1.32480i) q^{67} +(0.535299 - 0.676191i) q^{68} +(-3.49247 - 7.57887i) q^{69} +(0.298197 + 0.386527i) q^{70} +(-1.46820 - 9.30755i) q^{71} +(-1.62975 - 4.73206i) q^{72} +(-0.798600 - 0.764360i) q^{73} +(0.263427 - 1.18338i) q^{74} +(-1.23100 + 4.94314i) q^{75} +(0.155032 - 0.0334942i) q^{76} +(0.0438985 - 2.33793i) q^{77} +(-9.21753 + 1.39494i) q^{78} +(-0.297294 - 5.27276i) q^{79} +(0.168254 - 1.57553i) q^{80} +(-0.342867 - 0.101523i) q^{81} +(14.3293 - 7.60878i) q^{82} +(6.45602 + 12.3442i) q^{83} +(-0.235136 + 0.0416294i) q^{84} +(-0.191454 + 1.21371i) q^{85} +(4.94825 - 2.70743i) q^{86} +(-3.44592 - 5.09654i) q^{87} +(-4.74571 + 4.77550i) q^{88} +(-3.50296 - 13.3513i) q^{89} +(-0.763816 - 0.677995i) q^{90} +(-0.0339068 + 5.41796i) q^{91} +(-1.76648 - 0.937992i) q^{92} +(-2.52626 - 2.47927i) q^{93} +(3.24183 + 3.69854i) q^{94} +(-0.168999 + 0.150010i) q^{95} +(1.22584 + 0.817694i) q^{96} +(-3.44695 - 14.6193i) q^{97} +(-0.173745 - 9.25322i) q^{98} +(0.822672 + 4.82232i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} + O(q^{10}) \) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} - 233q^{10} - 239q^{11} - 239q^{12} - 245q^{13} - 223q^{14} - 231q^{15} - 263q^{16} - 243q^{17} - 217q^{18} - 229q^{19} - 195q^{20} - 215q^{21} - 233q^{22} - 241q^{23} - 181q^{24} - 280q^{25} - 215q^{26} - 237q^{27} - 185q^{28} - 217q^{29} - 159q^{30} - 219q^{31} - 185q^{32} - 209q^{33} - 167q^{34} - 187q^{35} - 203q^{36} - 237q^{37} - 161q^{38} - 197q^{39} - 135q^{40} - 209q^{41} - 117q^{42} - 221q^{43} - 147q^{44} - 167q^{45} - 167q^{46} - 195q^{47} - 141q^{48} - 234q^{49} - 145q^{50} - 177q^{51} - 179q^{52} - 211q^{53} - 83q^{54} - 165q^{55} - 125q^{56} - 177q^{57} - 205q^{58} - 189q^{59} - 27q^{60} - 193q^{61} - 143q^{62} - 159q^{63} - 185q^{64} - 155q^{65} - 97q^{66} - 201q^{67} - 155q^{68} - 113q^{69} - 123q^{70} - 153q^{71} - 21q^{72} - 213q^{73} - 83q^{74} - 161q^{75} - 97q^{76} - 139q^{77} - 43q^{78} - 191q^{79} + 3q^{80} - 188q^{81} - 97q^{82} - 161q^{83} + 67q^{84} - 159q^{85} - 121q^{86} - 121q^{87} - 143q^{88} - 155q^{89} + 115q^{90} - 137q^{91} - 119q^{92} - 123q^{93} - 99q^{94} - 181q^{95} + 67q^{96} - 229q^{97} - 63q^{98} - 85q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/503\mathbb{Z}\right)^\times\).

\(n\) \(5\)
\(\chi(n)\) \(e\left(\frac{101}{251}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.945803 1.16449i −0.668783 0.823417i 0.323653 0.946176i \(-0.395089\pi\)
−0.992437 + 0.122758i \(0.960826\pi\)
\(3\) −0.790504 + 0.684188i −0.456398 + 0.395016i −0.852114 0.523356i \(-0.824680\pi\)
0.395716 + 0.918373i \(0.370496\pi\)
\(4\) −0.0513814 + 0.245250i −0.0256907 + 0.122625i
\(5\) −0.107766 0.340345i −0.0481943 0.152207i 0.926211 0.377006i \(-0.123046\pi\)
−0.974405 + 0.224799i \(0.927827\pi\)
\(6\) 1.54439 + 0.273425i 0.630494 + 0.111625i
\(7\) 0.296825 0.861848i 0.112189 0.325748i −0.875267 0.483640i \(-0.839314\pi\)
0.987456 + 0.157892i \(0.0504698\pi\)
\(8\) −2.33318 + 1.20172i −0.824904 + 0.424872i
\(9\) −0.273541 + 1.88727i −0.0911802 + 0.629090i
\(10\) −0.294402 + 0.447391i −0.0930981 + 0.141477i
\(11\) 2.44073 0.789665i 0.735908 0.238093i 0.0840788 0.996459i \(-0.473205\pi\)
0.651829 + 0.758366i \(0.274002\pi\)
\(12\) −0.127180 0.229026i −0.0367138 0.0661141i
\(13\) −5.63196 + 1.90033i −1.56202 + 0.527058i −0.962029 0.272947i \(-0.912002\pi\)
−0.599994 + 0.800004i \(0.704830\pi\)
\(14\) −1.28435 + 0.469489i −0.343257 + 0.125476i
\(15\) 0.318049 + 0.195312i 0.0821199 + 0.0504292i
\(16\) 4.06512 + 1.78153i 1.01628 + 0.445383i
\(17\) −3.07927 1.53754i −0.746832 0.372908i 0.0325389 0.999470i \(-0.489641\pi\)
−0.779371 + 0.626562i \(0.784461\pi\)
\(18\) 2.45642 1.46645i 0.578983 0.345646i
\(19\) −0.257697 0.578148i −0.0591198 0.132636i 0.881405 0.472361i \(-0.156598\pi\)
−0.940525 + 0.339725i \(0.889666\pi\)
\(20\) 0.0890067 0.00894219i 0.0199025 0.00199953i
\(21\) 0.355025 + 0.884379i 0.0774728 + 0.192987i
\(22\) −3.22800 2.09533i −0.688213 0.446726i
\(23\) −2.21825 + 7.66748i −0.462536 + 1.59878i 0.301406 + 0.953496i \(0.402544\pi\)
−0.763942 + 0.645285i \(0.776739\pi\)
\(24\) 1.02219 2.54630i 0.208653 0.519761i
\(25\) 3.98455 2.80449i 0.796910 0.560897i
\(26\) 7.53963 + 4.76100i 1.47864 + 0.933710i
\(27\) −2.76618 4.32046i −0.532352 0.831472i
\(28\) 0.196117 + 0.117079i 0.0370627 + 0.0221259i
\(29\) −0.698058 + 5.84303i −0.129626 + 1.08502i 0.766817 + 0.641865i \(0.221839\pi\)
−0.896444 + 0.443158i \(0.853858\pi\)
\(30\) −0.0733736 0.555090i −0.0133961 0.101345i
\(31\) 0.275139 + 3.37445i 0.0494164 + 0.606069i 0.974216 + 0.225615i \(0.0724393\pi\)
−0.924800 + 0.380454i \(0.875768\pi\)
\(32\) −0.374722 1.35872i −0.0662421 0.240190i
\(33\) −1.38913 + 2.29415i −0.241816 + 0.399361i
\(34\) 1.12193 + 5.03998i 0.192410 + 0.864350i
\(35\) −0.325313 0.00814513i −0.0549879 0.00137678i
\(36\) −0.448798 0.164056i −0.0747997 0.0273427i
\(37\) 0.501595 + 0.633615i 0.0824617 + 0.104166i 0.823555 0.567236i \(-0.191987\pi\)
−0.741094 + 0.671402i \(0.765692\pi\)
\(38\) −0.429516 + 0.846899i −0.0696767 + 0.137385i
\(39\) 3.15190 5.35554i 0.504707 0.857573i
\(40\) 0.660435 + 0.664581i 0.104424 + 0.105080i
\(41\) −2.08494 + 10.6118i −0.325613 + 1.65728i 0.362726 + 0.931896i \(0.381846\pi\)
−0.688339 + 0.725389i \(0.741660\pi\)
\(42\) 0.694065 1.24987i 0.107096 0.192859i
\(43\) −0.678624 + 3.69811i −0.103489 + 0.563956i 0.890546 + 0.454894i \(0.150323\pi\)
−0.994035 + 0.109063i \(0.965215\pi\)
\(44\) 0.0682574 + 0.639164i 0.0102902 + 0.0963575i
\(45\) 0.671800 0.110285i 0.100146 0.0164403i
\(46\) 11.0267 4.66880i 1.62580 0.688378i
\(47\) −3.27607 + 0.123071i −0.477864 + 0.0179517i −0.275383 0.961335i \(-0.588805\pi\)
−0.202481 + 0.979286i \(0.564900\pi\)
\(48\) −4.43240 + 1.37300i −0.639761 + 0.198176i
\(49\) 4.86080 + 3.79876i 0.694400 + 0.542680i
\(50\) −7.03439 1.98747i −0.994812 0.281070i
\(51\) 3.48614 0.891369i 0.488157 0.124817i
\(52\) −0.176680 1.47888i −0.0245010 0.205084i
\(53\) 1.71696 3.85204i 0.235843 0.529118i −0.756300 0.654225i \(-0.772995\pi\)
0.992143 + 0.125107i \(0.0399273\pi\)
\(54\) −2.41486 + 7.30748i −0.328621 + 0.994422i
\(55\) −0.531785 0.745590i −0.0717059 0.100535i
\(56\) 0.343152 + 2.36755i 0.0458556 + 0.316377i
\(57\) 0.599273 + 0.280715i 0.0793756 + 0.0371816i
\(58\) 7.46436 4.71347i 0.980119 0.618909i
\(59\) −3.88952 + 9.34874i −0.506373 + 1.21710i 0.441156 + 0.897431i \(0.354569\pi\)
−0.947528 + 0.319672i \(0.896427\pi\)
\(60\) −0.0642420 + 0.0679662i −0.00829361 + 0.00877440i
\(61\) −0.738171 1.21910i −0.0945132 0.156089i 0.804583 0.593840i \(-0.202389\pi\)
−0.899096 + 0.437751i \(0.855775\pi\)
\(62\) 3.66928 3.51196i 0.465999 0.446019i
\(63\) 1.54535 + 0.795940i 0.194695 + 0.100279i
\(64\) 3.92669 5.50542i 0.490836 0.688177i
\(65\) 1.25370 + 1.71201i 0.155502 + 0.212349i
\(66\) 3.98535 0.552194i 0.490563 0.0679704i
\(67\) −2.15732 + 1.32480i −0.263559 + 0.161850i −0.648783 0.760973i \(-0.724722\pi\)
0.385224 + 0.922823i \(0.374124\pi\)
\(68\) 0.535299 0.676191i 0.0649146 0.0820001i
\(69\) −3.49247 7.57887i −0.420444 0.912389i
\(70\) 0.298197 + 0.386527i 0.0356413 + 0.0461988i
\(71\) −1.46820 9.30755i −0.174243 1.10460i −0.906075 0.423117i \(-0.860936\pi\)
0.731832 0.681485i \(-0.238666\pi\)
\(72\) −1.62975 4.73206i −0.192068 0.557679i
\(73\) −0.798600 0.764360i −0.0934690 0.0894616i 0.643267 0.765642i \(-0.277578\pi\)
−0.736736 + 0.676180i \(0.763634\pi\)
\(74\) 0.263427 1.18338i 0.0306228 0.137565i
\(75\) −1.23100 + 4.94314i −0.142144 + 0.570784i
\(76\) 0.155032 0.0334942i 0.0177834 0.00384205i
\(77\) 0.0438985 2.33793i 0.00500270 0.266432i
\(78\) −9.21753 + 1.39494i −1.04368 + 0.157946i
\(79\) −0.297294 5.27276i −0.0334482 0.593232i −0.970060 0.242864i \(-0.921913\pi\)
0.936612 0.350368i \(-0.113943\pi\)
\(80\) 0.168254 1.57553i 0.0188113 0.176150i
\(81\) −0.342867 0.101523i −0.0380963 0.0112803i
\(82\) 14.3293 7.60878i 1.58240 0.840249i
\(83\) 6.45602 + 12.3442i 0.708640 + 1.35495i 0.925499 + 0.378749i \(0.123646\pi\)
−0.216859 + 0.976203i \(0.569581\pi\)
\(84\) −0.235136 + 0.0416294i −0.0256554 + 0.00454214i
\(85\) −0.191454 + 1.21371i −0.0207661 + 0.131645i
\(86\) 4.94825 2.70743i 0.533583 0.291950i
\(87\) −3.44592 5.09654i −0.369441 0.546406i
\(88\) −4.74571 + 4.77550i −0.505894 + 0.509070i
\(89\) −3.50296 13.3513i −0.371313 1.41524i −0.845104 0.534602i \(-0.820461\pi\)
0.473791 0.880637i \(-0.342885\pi\)
\(90\) −0.763816 0.677995i −0.0805133 0.0714670i
\(91\) −0.0339068 + 5.41796i −0.00355440 + 0.567956i
\(92\) −1.76648 0.937992i −0.184168 0.0977924i
\(93\) −2.52626 2.47927i −0.261961 0.257088i
\(94\) 3.24183 + 3.69854i 0.334369 + 0.381476i
\(95\) −0.168999 + 0.150010i −0.0173389 + 0.0153907i
\(96\) 1.22584 + 0.817694i 0.125112 + 0.0834556i
\(97\) −3.44695 14.6193i −0.349985 1.48437i −0.804674 0.593717i \(-0.797660\pi\)
0.454689 0.890650i \(-0.349750\pi\)
\(98\) −0.173745 9.25322i −0.0175509 0.934716i
\(99\) 0.822672 + 4.82232i 0.0826817 + 0.484661i
\(100\) 0.483069 + 1.12131i 0.0483069 + 0.112131i
\(101\) −9.15810 + 3.61005i −0.911265 + 0.359213i −0.775368 0.631510i \(-0.782435\pi\)
−0.135897 + 0.990723i \(0.543392\pi\)
\(102\) −4.33519 3.21651i −0.429248 0.318482i
\(103\) 8.38195 1.70138i 0.825898 0.167642i 0.232546 0.972585i \(-0.425294\pi\)
0.593352 + 0.804943i \(0.297804\pi\)
\(104\) 10.8567 11.2018i 1.06459 1.09843i
\(105\) 0.262734 0.216137i 0.0256402 0.0210928i
\(106\) −6.10956 + 1.64388i −0.593413 + 0.159668i
\(107\) −17.9971 0.676090i −1.73985 0.0653601i −0.851451 0.524435i \(-0.824277\pi\)
−0.888398 + 0.459075i \(0.848181\pi\)
\(108\) 1.20172 0.456415i 0.115636 0.0439186i
\(109\) −6.57910 6.96050i −0.630163 0.666695i 0.330694 0.943738i \(-0.392717\pi\)
−0.960857 + 0.277043i \(0.910645\pi\)
\(110\) −0.365267 + 1.32444i −0.0348268 + 0.126280i
\(111\) −0.830025 0.157690i −0.0787825 0.0149673i
\(112\) 2.74204 2.97471i 0.259098 0.281084i
\(113\) −0.783211 1.59343i −0.0736783 0.149897i 0.857474 0.514527i \(-0.172032\pi\)
−0.931153 + 0.364629i \(0.881196\pi\)
\(114\) −0.239905 0.963347i −0.0224691 0.0902257i
\(115\) 2.84864 0.0713237i 0.265637 0.00665097i
\(116\) −1.39714 0.471422i −0.129721 0.0437704i
\(117\) −2.04587 11.1488i −0.189141 1.03071i
\(118\) 14.5652 4.31276i 1.34084 0.397022i
\(119\) −2.23913 + 2.19748i −0.205261 + 0.201443i
\(120\) −0.976775 0.0734919i −0.0891670 0.00670886i
\(121\) −3.58175 + 2.58862i −0.325614 + 0.235329i
\(122\) −0.721458 + 2.01262i −0.0653177 + 0.182214i
\(123\) −5.61232 9.81516i −0.506046 0.885003i
\(124\) −0.841722 0.105906i −0.0755888 0.00951064i
\(125\) −2.80398 2.13535i −0.250795 0.190991i
\(126\) −0.534730 2.55234i −0.0476376 0.227380i
\(127\) −5.34649 + 3.01289i −0.474425 + 0.267351i −0.709603 0.704602i \(-0.751126\pi\)
0.235179 + 0.971952i \(0.424433\pi\)
\(128\) −12.9382 + 0.810753i −1.14359 + 0.0716611i
\(129\) −1.99375 3.38768i −0.175540 0.298268i
\(130\) 0.807868 3.07915i 0.0708547 0.270059i
\(131\) −15.0151 + 10.0158i −1.31187 + 0.875082i −0.997248 0.0741344i \(-0.976381\pi\)
−0.314625 + 0.949216i \(0.601879\pi\)
\(132\) −0.491266 0.458560i −0.0427592 0.0399125i
\(133\) −0.574767 + 0.0504870i −0.0498386 + 0.00437777i
\(134\) 3.58311 + 1.25918i 0.309534 + 0.108777i
\(135\) −1.17234 + 1.40705i −0.100899 + 0.121100i
\(136\) 9.03218 0.113055i 0.774503 0.00969442i
\(137\) 6.48398 + 16.7554i 0.553964 + 1.43151i 0.874851 + 0.484392i \(0.160959\pi\)
−0.320887 + 0.947118i \(0.603981\pi\)
\(138\) −5.52232 + 11.2351i −0.470091 + 0.956392i
\(139\) 0.955210 + 0.206371i 0.0810198 + 0.0175041i 0.251504 0.967856i \(-0.419075\pi\)
−0.170484 + 0.985360i \(0.554533\pi\)
\(140\) 0.0187126 0.0793646i 0.00158151 0.00670753i
\(141\) 2.50554 2.33874i 0.211005 0.196957i
\(142\) −9.44990 + 10.5128i −0.793018 + 0.882215i
\(143\) −12.2455 + 9.08556i −1.02402 + 0.759773i
\(144\) −4.47420 + 7.18466i −0.372850 + 0.598721i
\(145\) 2.06387 0.392098i 0.171395 0.0325620i
\(146\) −0.134770 + 1.65289i −0.0111537 + 0.136794i
\(147\) −6.44155 + 0.322767i −0.531290 + 0.0266214i
\(148\) −0.181167 + 0.0904602i −0.0148918 + 0.00743578i
\(149\) 1.29405 2.02116i 0.106013 0.165580i −0.785089 0.619382i \(-0.787383\pi\)
0.891102 + 0.453803i \(0.149933\pi\)
\(150\) 6.92051 3.24175i 0.565057 0.264687i
\(151\) −1.06631 1.62042i −0.0867748 0.131868i 0.789367 0.613922i \(-0.210409\pi\)
−0.876142 + 0.482054i \(0.839891\pi\)
\(152\) 1.29603 + 1.03924i 0.105122 + 0.0842939i
\(153\) 3.74406 5.39083i 0.302689 0.435823i
\(154\) −2.76401 + 2.16010i −0.222730 + 0.174066i
\(155\) 1.11882 0.457292i 0.0898662 0.0367306i
\(156\) 1.15150 + 1.04818i 0.0921937 + 0.0839214i
\(157\) 8.00400 16.8123i 0.638789 1.34177i −0.284874 0.958565i \(-0.591952\pi\)
0.923663 0.383205i \(-0.125180\pi\)
\(158\) −5.85889 + 5.33319i −0.466108 + 0.424286i
\(159\) 1.27825 + 4.21978i 0.101372 + 0.334650i
\(160\) −0.422051 + 0.273958i −0.0333661 + 0.0216583i
\(161\) 5.94977 + 4.18769i 0.468908 + 0.330036i
\(162\) 0.206062 + 0.495284i 0.0161898 + 0.0389132i
\(163\) 1.71757 + 0.652334i 0.134530 + 0.0510948i 0.421400 0.906875i \(-0.361539\pi\)
−0.286869 + 0.957970i \(0.592615\pi\)
\(164\) −2.49542 1.05658i −0.194860 0.0825052i
\(165\) 0.930502 + 0.225551i 0.0724395 + 0.0175591i
\(166\) 8.26856 19.1931i 0.641765 1.48968i
\(167\) −0.606320 + 19.3706i −0.0469184 + 1.49894i 0.637837 + 0.770171i \(0.279829\pi\)
−0.684755 + 0.728773i \(0.740091\pi\)
\(168\) −1.89111 1.63677i −0.145902 0.126280i
\(169\) 17.7652 13.5290i 1.36656 1.04069i
\(170\) 1.59442 0.924981i 0.122287 0.0709428i
\(171\) 1.16161 0.328197i 0.0888307 0.0250979i
\(172\) −0.872093 0.356447i −0.0664965 0.0271788i
\(173\) −10.1961 21.4168i −0.775194 1.62829i −0.777979 0.628290i \(-0.783755\pi\)
0.00278573 0.999996i \(-0.499113\pi\)
\(174\) −2.67570 + 8.83305i −0.202845 + 0.669632i
\(175\) −1.23433 4.26652i −0.0933064 0.322518i
\(176\) 11.3287 + 1.13815i 0.853931 + 0.0857914i
\(177\) −3.32162 10.0514i −0.249668 0.755508i
\(178\) −12.2344 + 16.7069i −0.917005 + 1.25223i
\(179\) 6.81519 12.6431i 0.509391 0.944987i −0.488003 0.872842i \(-0.662275\pi\)
0.997394 0.0721449i \(-0.0229844\pi\)
\(180\) −0.00747063 + 0.170426i −0.000556828 + 0.0127028i
\(181\) −1.11788 16.2132i −0.0830911 1.20512i −0.836651 0.547737i \(-0.815489\pi\)
0.753559 0.657380i \(-0.228335\pi\)
\(182\) 6.34122 5.08483i 0.470042 0.376913i
\(183\) 1.41762 + 0.458651i 0.104793 + 0.0339045i
\(184\) −4.03858 20.5553i −0.297728 1.51536i
\(185\) 0.161593 0.238997i 0.0118805 0.0175714i
\(186\) −0.497737 + 5.28669i −0.0364958 + 0.387639i
\(187\) −8.72980 1.32113i −0.638387 0.0966105i
\(188\) 0.138146 0.809781i 0.0100753 0.0590593i
\(189\) −4.54465 + 1.10161i −0.330575 + 0.0801302i
\(190\) 0.334525 + 0.0549167i 0.0242690 + 0.00398407i
\(191\) −0.485049 + 8.60275i −0.0350969 + 0.622473i 0.931115 + 0.364725i \(0.118837\pi\)
−0.966212 + 0.257748i \(0.917020\pi\)
\(192\) 0.662681 + 7.03865i 0.0478249 + 0.507970i
\(193\) 2.95540 + 1.61704i 0.212734 + 0.116397i 0.582824 0.812599i \(-0.301948\pi\)
−0.370089 + 0.928996i \(0.620673\pi\)
\(194\) −13.7639 + 17.8409i −0.988189 + 1.28090i
\(195\) −2.16239 0.495587i −0.154852 0.0354897i
\(196\) −1.18140 + 0.996926i −0.0843858 + 0.0712090i
\(197\) 24.4846 1.84220i 1.74445 0.131252i 0.835863 0.548938i \(-0.184968\pi\)
0.908591 + 0.417686i \(0.137159\pi\)
\(198\) 4.83745 5.51895i 0.343782 0.392215i
\(199\) 0.129754 + 20.7333i 0.00919799 + 1.46974i 0.682777 + 0.730627i \(0.260772\pi\)
−0.673579 + 0.739115i \(0.735244\pi\)
\(200\) −5.92647 + 11.3317i −0.419064 + 0.801271i
\(201\) 0.798962 2.52327i 0.0563544 0.177978i
\(202\) 12.8656 + 7.25010i 0.905221 + 0.510116i
\(203\) 4.82860 + 2.33598i 0.338901 + 0.163954i
\(204\) 0.0394856 + 0.900777i 0.00276455 + 0.0630670i
\(205\) 3.83635 0.433990i 0.267943 0.0303112i
\(206\) −9.90891 8.15151i −0.690386 0.567942i
\(207\) −13.8638 6.28380i −0.963603 0.436754i
\(208\) −26.2801 2.30842i −1.82220 0.160060i
\(209\) −1.08551 1.20761i −0.0750865 0.0835320i
\(210\) −0.500183 0.101528i −0.0345159 0.00700609i
\(211\) 17.6944 12.1258i 1.21814 0.834772i 0.227833 0.973700i \(-0.426836\pi\)
0.990302 + 0.138929i \(0.0443658\pi\)
\(212\) 0.856493 + 0.619009i 0.0588242 + 0.0425137i
\(213\) 7.52873 + 6.35312i 0.515860 + 0.435309i
\(214\) 16.2344 + 21.5969i 1.10976 + 1.47633i
\(215\) 1.33176 0.167563i 0.0908255 0.0114277i
\(216\) 11.6460 + 6.75623i 0.792408 + 0.459704i
\(217\) 2.98993 + 0.764493i 0.202970 + 0.0518972i
\(218\) −1.88289 + 14.2445i −0.127525 + 0.964762i
\(219\) 1.15426 + 0.0578367i 0.0779978 + 0.00390824i
\(220\) 0.210180 0.0921110i 0.0141703 0.00621012i
\(221\) 20.2641 + 2.80772i 1.36311 + 0.188868i
\(222\) 0.601412 + 1.11570i 0.0403641 + 0.0748807i
\(223\) −13.8970 + 6.72306i −0.930609 + 0.450209i −0.838109 0.545503i \(-0.816338\pi\)
−0.0925002 + 0.995713i \(0.529486\pi\)
\(224\) −1.28224 0.0803494i −0.0856732 0.00536857i
\(225\) 4.20289 + 8.28706i 0.280192 + 0.552470i
\(226\) −1.11477 + 2.41911i −0.0741531 + 0.160917i
\(227\) −2.66300 + 0.610318i −0.176750 + 0.0405082i −0.310847 0.950460i \(-0.600613\pi\)
0.134098 + 0.990968i \(0.457186\pi\)
\(228\) −0.0996369 + 0.132548i −0.00659861 + 0.00877822i
\(229\) −7.53651 + 13.1803i −0.498027 + 0.870980i 0.501955 + 0.864894i \(0.332614\pi\)
−0.999981 + 0.00608569i \(0.998063\pi\)
\(230\) −2.77730 3.24975i −0.183130 0.214282i
\(231\) 1.56488 + 1.87818i 0.102962 + 0.123575i
\(232\) −5.39298 14.4717i −0.354067 0.950114i
\(233\) 19.8359 + 0.248285i 1.29949 + 0.0162657i 0.659261 0.751914i \(-0.270869\pi\)
0.640234 + 0.768180i \(0.278838\pi\)
\(234\) −11.0477 + 12.9270i −0.722210 + 0.845064i
\(235\) 0.394934 + 1.10173i 0.0257627 + 0.0718689i
\(236\) −2.09293 1.43426i −0.136238 0.0933622i
\(237\) 3.84258 + 3.96473i 0.249602 + 0.257537i
\(238\) 4.67672 + 0.529057i 0.303147 + 0.0342936i
\(239\) −0.912167 + 13.2297i −0.0590032 + 0.855755i 0.871714 + 0.490015i \(0.163009\pi\)
−0.930717 + 0.365740i \(0.880816\pi\)
\(240\) 0.944954 + 1.36058i 0.0609965 + 0.0878250i
\(241\) 27.0639 + 8.38345i 1.74334 + 0.540026i 0.992692 0.120677i \(-0.0385065\pi\)
0.750648 + 0.660703i \(0.229742\pi\)
\(242\) 6.40205 + 1.72258i 0.411540 + 0.110732i
\(243\) 14.3582 6.50786i 0.921078 0.417480i
\(244\) 0.336912 0.118398i 0.0215686 0.00757965i
\(245\) 0.769060 2.06372i 0.0491334 0.131846i
\(246\) −6.12149 + 15.8187i −0.390292 + 1.00856i
\(247\) 2.55001 + 2.76639i 0.162253 + 0.176021i
\(248\) −4.69709 7.54256i −0.298265 0.478953i
\(249\) −13.5493 5.34101i −0.858650 0.338473i
\(250\) 0.165420 + 5.28481i 0.0104621 + 0.334241i
\(251\) 1.21496 1.49588i 0.0766878 0.0944193i −0.736445 0.676497i \(-0.763497\pi\)
0.813133 + 0.582078i \(0.197760\pi\)
\(252\) −0.274606 + 0.338100i −0.0172986 + 0.0212983i
\(253\) 0.640603 + 20.4659i 0.0402744 + 1.28668i
\(254\) 8.56520 + 3.37633i 0.537428 + 0.211850i
\(255\) −0.679059 1.09043i −0.0425243 0.0682854i
\(256\) 4.01464 + 4.35530i 0.250915 + 0.272206i
\(257\) 5.45067 14.0852i 0.340003 0.878609i −0.652655 0.757655i \(-0.726345\pi\)
0.992658 0.120954i \(-0.0385954\pi\)
\(258\) −2.05921 + 5.52577i −0.128201 + 0.344019i
\(259\) 0.694966 0.244226i 0.0431831 0.0151754i
\(260\) −0.484289 + 0.219505i −0.0300343 + 0.0136131i
\(261\) −10.8364 2.91573i −0.670758 0.180479i
\(262\) 25.8645 + 8.01193i 1.59792 + 0.494979i
\(263\) 0.925476 + 1.33253i 0.0570673 + 0.0821676i 0.848845 0.528642i \(-0.177298\pi\)
−0.791778 + 0.610809i \(0.790844\pi\)
\(264\) 0.484158 7.02201i 0.0297979 0.432175i
\(265\) −1.49605 0.169242i −0.0919016 0.0103964i
\(266\) 0.602407 + 0.621558i 0.0369360 + 0.0381102i
\(267\) 11.9039 + 8.15761i 0.728509 + 0.499237i
\(268\) −0.214060 0.597154i −0.0130758 0.0364770i
\(269\) −4.80942 + 5.62754i −0.293235 + 0.343117i −0.887209 0.461367i \(-0.847359\pi\)
0.593974 + 0.804484i \(0.297558\pi\)
\(270\) 2.74730 + 0.0343878i 0.167195 + 0.00209278i
\(271\) 6.01767 + 16.1480i 0.365547 + 0.980922i 0.981215 + 0.192916i \(0.0617946\pi\)
−0.615668 + 0.788006i \(0.711114\pi\)
\(272\) −9.77842 11.7361i −0.592904 0.711605i
\(273\) −3.68010 4.30611i −0.222730 0.260618i
\(274\) 13.3789 23.3978i 0.808248 1.41351i
\(275\) 7.51060 9.99145i 0.452906 0.602507i
\(276\) 2.03817 0.467116i 0.122683 0.0281171i
\(277\) −6.14587 + 13.3369i −0.369269 + 0.801337i 0.630416 + 0.776257i \(0.282884\pi\)
−0.999685 + 0.0250794i \(0.992016\pi\)
\(278\) −0.663124 1.30752i −0.0397715 0.0784196i
\(279\) −6.44376 0.403787i −0.385778 0.0241741i
\(280\) 0.768802 0.371930i 0.0459447 0.0222271i
\(281\) −4.23859 7.86314i −0.252853 0.469076i 0.722009 0.691883i \(-0.243219\pi\)
−0.974862 + 0.222808i \(0.928478\pi\)
\(282\) −5.09318 0.705690i −0.303294 0.0420232i
\(283\) −17.7795 + 7.79185i −1.05688 + 0.463177i −0.856289 0.516497i \(-0.827236\pi\)
−0.200595 + 0.979674i \(0.564288\pi\)
\(284\) 2.35812 + 0.118158i 0.139928 + 0.00701141i
\(285\) 0.0309587 0.234211i 0.00183383 0.0138734i
\(286\) 22.1618 + 5.66654i 1.31046 + 0.335069i
\(287\) 8.52690 + 4.94675i 0.503327 + 0.291998i
\(288\) 2.66678 0.335536i 0.157141 0.0197716i
\(289\) −3.09693 4.11989i −0.182172 0.242346i
\(290\) −2.40861 2.03250i −0.141438 0.119353i
\(291\) 12.7272 + 9.19826i 0.746081 + 0.539212i
\(292\) 0.228493 0.156583i 0.0133715 0.00916332i
\(293\) −25.5674 5.18970i −1.49366 0.303186i −0.618025 0.786158i \(-0.712067\pi\)
−0.875636 + 0.482972i \(0.839557\pi\)
\(294\) 6.46829 + 7.19583i 0.377238 + 0.419669i
\(295\) 3.60095 + 0.316304i 0.209655 + 0.0184159i
\(296\) −1.93174 0.875563i −0.112280 0.0508911i
\(297\) −10.1632 8.36071i −0.589729 0.485138i
\(298\) −3.57753 + 0.404711i −0.207241 + 0.0234443i
\(299\) −2.07771 47.3983i −0.120157 2.74112i
\(300\) −1.14906 0.555889i −0.0663407 0.0320943i
\(301\) 2.98578 + 1.68256i 0.172097 + 0.0969813i
\(302\) −0.878447 + 2.77430i −0.0505489 + 0.159643i
\(303\) 4.76956 9.11962i 0.274004 0.523908i
\(304\) −0.0175815 2.80934i −0.00100837 0.161127i
\(305\) −0.335363 + 0.382609i −0.0192028 + 0.0219081i
\(306\) −9.81870 + 0.738752i −0.561298 + 0.0422317i
\(307\) 1.55005 1.30801i 0.0884662 0.0746523i −0.599602 0.800299i \(-0.704674\pi\)
0.688068 + 0.725646i \(0.258459\pi\)
\(308\) 0.571122 + 0.130892i 0.0325427 + 0.00745828i
\(309\) −5.46190 + 7.07978i −0.310716 + 0.402755i
\(310\) −1.59070 0.870350i −0.0903456 0.0494326i
\(311\) −0.427044 4.53584i −0.0242155 0.257204i −0.999364 0.0356526i \(-0.988649\pi\)
0.975149 0.221551i \(-0.0711119\pi\)
\(312\) −0.918092 + 16.2831i −0.0519767 + 0.921851i
\(313\) 15.8286 + 2.59848i 0.894688 + 0.146875i 0.591737 0.806131i \(-0.298443\pi\)
0.302951 + 0.953006i \(0.402028\pi\)
\(314\) −27.1480 + 6.58057i −1.53205 + 0.371363i
\(315\) 0.104358 0.611725i 0.00587993 0.0344668i
\(316\) 1.30842 + 0.198010i 0.0736045 + 0.0111390i
\(317\) −0.477168 + 5.06823i −0.0268004 + 0.284660i 0.971971 + 0.235102i \(0.0755423\pi\)
−0.998771 + 0.0495583i \(0.984219\pi\)
\(318\) 3.70490 5.47958i 0.207761 0.307280i
\(319\) 2.91027 + 14.8125i 0.162944 + 0.829340i
\(320\) −2.29690 0.743131i −0.128401 0.0415423i
\(321\) 14.6894 11.7790i 0.819881 0.657438i
\(322\) −0.750794 10.8892i −0.0418401 0.606830i
\(323\) −0.0954068 + 2.17649i −0.00530858 + 0.121103i
\(324\) 0.0425155 0.0788717i 0.00236197 0.00438176i
\(325\) −17.1113 + 23.3667i −0.949166 + 1.29615i
\(326\) −0.864847 2.61707i −0.0478994 0.144946i
\(327\) 9.96309 + 1.00096i 0.550960 + 0.0553530i
\(328\) −7.88785 27.2648i −0.435534 1.50544i
\(329\) −0.866352 + 2.86001i −0.0477635 + 0.157677i
\(330\) −0.617421 1.29688i −0.0339879 0.0713912i
\(331\) −9.34262 3.81856i −0.513517 0.209887i 0.106739 0.994287i \(-0.465959\pi\)
−0.620256 + 0.784400i \(0.712971\pi\)
\(332\) −3.35914 + 0.949077i −0.184357 + 0.0520874i
\(333\) −1.33301 + 0.773325i −0.0730485 + 0.0423780i
\(334\) 23.1303 17.6147i 1.26564 0.963836i
\(335\) 0.683373 + 0.591466i 0.0373367 + 0.0323152i
\(336\) −0.132328 + 4.22759i −0.00721907 + 0.230634i
\(337\) −10.2697 + 23.8382i −0.559426 + 1.29855i 0.369825 + 0.929101i \(0.379418\pi\)
−0.929251 + 0.369449i \(0.879547\pi\)
\(338\) −32.5568 7.89165i −1.77085 0.429249i
\(339\) 1.70934 + 0.723748i 0.0928384 + 0.0393086i
\(340\) −0.287825 0.109316i −0.0156095 0.00592849i
\(341\) 3.33622 + 8.01885i 0.180667 + 0.434245i
\(342\) −1.48084 1.04227i −0.0800745 0.0563597i
\(343\) 10.0688 6.53577i 0.543664 0.352898i
\(344\) −2.86073 9.44387i −0.154240 0.509179i
\(345\) −2.20306 + 2.00539i −0.118609 + 0.107966i
\(346\) −15.2961 + 32.1292i −0.822322 + 1.72728i
\(347\) 18.0377 + 16.4193i 0.968316 + 0.881432i 0.992982 0.118264i \(-0.0377328\pi\)
−0.0246663 + 0.999696i \(0.507852\pi\)
\(348\) 1.42698 0.583244i 0.0764943 0.0312652i
\(349\) −23.2573 + 18.1758i −1.24493 + 0.972929i −0.244941 + 0.969538i \(0.578768\pi\)
−0.999994 + 0.00339055i \(0.998921\pi\)
\(350\) −3.80088 + 5.47264i −0.203165 + 0.292525i
\(351\) 23.7893 + 19.0760i 1.26978 + 1.01820i
\(352\) −1.98753 3.02037i −0.105936 0.160986i
\(353\) 3.98481 1.86659i 0.212090 0.0993484i −0.315230 0.949015i \(-0.602082\pi\)
0.527320 + 0.849667i \(0.323197\pi\)
\(354\) −8.56312 + 13.3746i −0.455125 + 0.710852i
\(355\) −3.00955 + 1.50273i −0.159730 + 0.0797565i
\(356\) 3.45441 0.173090i 0.183083 0.00917377i
\(357\) 0.266550 3.26910i 0.0141073 0.173019i
\(358\) −21.1685 + 4.02164i −1.11879 + 0.212550i
\(359\) 4.38314 7.03843i 0.231334 0.371474i −0.712621 0.701549i \(-0.752492\pi\)
0.943955 + 0.330075i \(0.107074\pi\)
\(360\) −1.43490 + 1.06463i −0.0756259 + 0.0561109i
\(361\) 12.4338 13.8324i 0.654413 0.728020i
\(362\) −17.8228 + 16.6362i −0.936744 + 0.874381i
\(363\) 1.06028 4.49691i 0.0556505 0.236027i
\(364\) −1.32701 0.286698i −0.0695544 0.0150271i
\(365\) −0.174084 + 0.354171i −0.00911198 + 0.0185382i
\(366\) −0.806693 2.08459i −0.0421665 0.108963i
\(367\) −7.18906 + 0.0899852i −0.375266 + 0.00469719i −0.199927 0.979811i \(-0.564070\pi\)
−0.175339 + 0.984508i \(0.556102\pi\)
\(368\) −22.6773 + 27.2174i −1.18214 + 1.41880i
\(369\) −19.4570 6.83760i −1.01289 0.355951i
\(370\) −0.431144 + 0.0378713i −0.0224141 + 0.00196883i
\(371\) −2.81023 2.62314i −0.145900 0.136187i
\(372\) 0.737844 0.492177i 0.0382554 0.0255182i
\(373\) −0.939237 + 3.57985i −0.0486318 + 0.185358i −0.987128 0.159932i \(-0.948873\pi\)
0.938496 + 0.345289i \(0.112219\pi\)
\(374\) 6.71823 + 11.4153i 0.347392 + 0.590270i
\(375\) 3.67753 0.230447i 0.189907 0.0119002i
\(376\) 7.49577 4.22406i 0.386565 0.217839i
\(377\) −7.17228 34.2342i −0.369391 1.76315i
\(378\) 5.58115 + 4.25029i 0.287063 + 0.218611i
\(379\) 8.52656 + 1.07282i 0.437980 + 0.0551070i 0.340748 0.940155i \(-0.389320\pi\)
0.0972323 + 0.995262i \(0.469001\pi\)
\(380\) −0.0281067 0.0491547i −0.00144184 0.00252158i
\(381\) 2.16504 6.03971i 0.110918 0.309424i
\(382\) 10.4766 7.57167i 0.536028 0.387400i
\(383\) −37.7707 2.84184i −1.92999 0.145211i −0.946089 0.323908i \(-0.895003\pi\)
−0.983904 + 0.178697i \(0.942812\pi\)
\(384\) 9.67302 9.49310i 0.493624 0.484442i
\(385\) −0.800433 + 0.237008i −0.0407938 + 0.0120791i
\(386\) −0.912193 4.97093i −0.0464294 0.253014i
\(387\) −6.79370 2.29233i −0.345343 0.116526i
\(388\) 3.76250 0.0942049i 0.191012 0.00478253i
\(389\) −5.54028 22.2472i −0.280904 1.12798i −0.930085 0.367345i \(-0.880267\pi\)
0.649181 0.760634i \(-0.275112\pi\)
\(390\) 1.46809 + 2.98681i 0.0743398 + 0.151243i
\(391\) 18.6196 20.1996i 0.941636 1.02154i
\(392\) −15.9062 3.02188i −0.803382 0.152628i
\(393\) 5.01680 18.1906i 0.253064 0.917596i
\(394\) −25.3028 26.7696i −1.27474 1.34864i
\(395\) −1.76252 + 0.669406i −0.0886819 + 0.0336814i
\(396\) −1.22495 0.0460170i −0.0615558 0.00231244i
\(397\) 12.4951 3.36203i 0.627112 0.168736i 0.0678087 0.997698i \(-0.478399\pi\)
0.559304 + 0.828963i \(0.311069\pi\)
\(398\) 24.0209 19.7607i 1.20406 0.990513i
\(399\) 0.419813 0.433159i 0.0210169 0.0216851i
\(400\) 21.1939 4.30198i 1.05970 0.215099i
\(401\) 20.1863 + 14.9773i 1.00806 + 0.747932i 0.967919 0.251262i \(-0.0808455\pi\)
0.0401386 + 0.999194i \(0.487220\pi\)
\(402\) −3.69398 + 1.45614i −0.184239 + 0.0726255i
\(403\) −7.96215 18.4819i −0.396623 0.920649i
\(404\) −0.414809 2.43151i −0.0206375 0.120972i
\(405\) 0.00239653 + 0.127633i 0.000119085 + 0.00634216i
\(406\) −1.84669 7.83222i −0.0916495 0.388707i
\(407\) 1.72460 + 1.15039i 0.0854853 + 0.0570228i
\(408\) −7.06262 + 6.26908i −0.349652 + 0.310366i
\(409\) 2.73131 + 3.11610i 0.135055 + 0.154081i 0.815582 0.578641i \(-0.196417\pi\)
−0.680528 + 0.732722i \(0.738249\pi\)
\(410\) −4.13381 4.05692i −0.204154 0.200357i
\(411\) −16.5895 8.80894i −0.818298 0.434513i
\(412\) −0.0134120 + 2.14309i −0.000660761 + 0.105583i
\(413\) 6.90269 + 6.12712i 0.339659 + 0.301496i
\(414\) 5.79504 + 22.0875i 0.284811 + 1.08554i
\(415\) 3.50554 3.52755i 0.172080 0.173161i
\(416\) 4.69244 + 6.94016i 0.230066 + 0.340270i
\(417\) −0.896293 + 0.490407i −0.0438917 + 0.0240153i
\(418\) −0.379565 + 2.40623i −0.0185651 + 0.117692i
\(419\) 18.7052 3.31165i 0.913810 0.161785i 0.302476 0.953157i \(-0.402187\pi\)
0.611334 + 0.791372i \(0.290633\pi\)
\(420\) 0.0395079 + 0.0755409i 0.00192779 + 0.00368602i
\(421\) −18.7578 + 9.96030i −0.914198 + 0.485436i −0.858385 0.513006i \(-0.828532\pi\)
−0.0558128 + 0.998441i \(0.517775\pi\)
\(422\) −30.8557 9.13639i −1.50203 0.444752i
\(423\) 0.663870 6.21649i 0.0322785 0.302256i
\(424\) 0.623077 + 11.0508i 0.0302593 + 0.536674i
\(425\) −16.5815 + 2.50937i −0.804321 + 0.121722i
\(426\) 0.277442 14.7759i 0.0134421 0.715896i
\(427\) −1.26978 + 0.274334i −0.0614491 + 0.0132759i
\(428\) 1.09053 4.37906i 0.0527127 0.211670i
\(429\) 3.46384 15.5604i 0.167236 0.751262i
\(430\) −1.45471 1.39234i −0.0701524 0.0671446i
\(431\) 13.0370 + 37.8536i 0.627969 + 1.82334i 0.564620 + 0.825351i \(0.309023\pi\)
0.0633494 + 0.997991i \(0.479822\pi\)
\(432\) −3.54783 22.4912i −0.170695 1.08211i
\(433\) −4.56151 5.91269i −0.219212 0.284146i 0.669306 0.742987i \(-0.266591\pi\)
−0.888518 + 0.458841i \(0.848265\pi\)
\(434\) −1.93764 4.20480i −0.0930098 0.201837i
\(435\) −1.36323 + 1.72203i −0.0653618 + 0.0825651i
\(436\) 2.04511 1.25589i 0.0979428 0.0601460i
\(437\) 5.00458 0.693414i 0.239401 0.0331705i
\(438\) −1.02435 1.39883i −0.0489455 0.0668385i
\(439\) −6.57809 + 9.22282i −0.313955 + 0.440181i −0.940800 0.338963i \(-0.889924\pi\)
0.626845 + 0.779144i \(0.284346\pi\)
\(440\) 2.13674 + 1.10054i 0.101865 + 0.0524662i
\(441\) −8.49891 + 8.13452i −0.404710 + 0.387358i
\(442\) −15.8963 26.2529i −0.756111 1.24872i
\(443\) −6.50630 + 6.88348i −0.309124 + 0.327044i −0.862663 0.505779i \(-0.831205\pi\)
0.553539 + 0.832823i \(0.313277\pi\)
\(444\) 0.0813213 0.195461i 0.00385934 0.00927619i
\(445\) −4.16656 + 2.63103i −0.197514 + 0.124723i
\(446\) 20.9727 + 9.82415i 0.993086 + 0.465187i
\(447\) 0.359901 + 2.48311i 0.0170227 + 0.117447i
\(448\) −3.57929 5.01835i −0.169106 0.237095i
\(449\) −2.28549 + 6.91601i −0.107859 + 0.326386i −0.989298 0.145912i \(-0.953388\pi\)
0.881439 + 0.472299i \(0.156576\pi\)
\(450\) 5.67508 12.7321i 0.267526 0.600198i
\(451\) 3.29099 + 27.5469i 0.154967 + 1.29713i
\(452\) 0.431031 0.110210i 0.0202740 0.00518385i
\(453\) 1.95159 + 0.551395i 0.0916939 + 0.0259068i
\(454\) 3.22938 + 2.52379i 0.151562 + 0.118447i
\(455\) 1.84763 0.572330i 0.0866180 0.0268312i
\(456\) −1.73555 + 0.0651987i −0.0812747 + 0.00305321i
\(457\) 30.3669 12.8576i 1.42050 0.601453i 0.462090 0.886833i \(-0.347100\pi\)
0.958415 + 0.285380i \(0.0921197\pi\)
\(458\) 22.4764 3.68979i 1.05025 0.172413i
\(459\) 1.87494 + 17.5570i 0.0875147 + 0.819489i
\(460\) −0.128875 + 0.702294i −0.00600882 + 0.0327446i
\(461\) 18.8513 33.9474i 0.877993 1.58109i 0.0656992 0.997839i \(-0.479072\pi\)
0.812294 0.583248i \(-0.198219\pi\)
\(462\) 0.707045 3.59867i 0.0328947 0.167425i
\(463\) 20.4879 + 20.6166i 0.952155 + 0.958133i 0.999169 0.0407615i \(-0.0129784\pi\)
−0.0470136 + 0.998894i \(0.514970\pi\)
\(464\) −13.2472 + 22.5090i −0.614987 + 1.04495i
\(465\) −0.571561 + 1.12698i −0.0265055 + 0.0522624i
\(466\) −18.4717 23.3335i −0.855687 1.08090i
\(467\) −1.96628 0.718766i −0.0909886 0.0332605i 0.297429 0.954744i \(-0.403871\pi\)
−0.388418 + 0.921483i \(0.626978\pi\)
\(468\) 2.83937 + 0.0710918i 0.131250 + 0.00328622i
\(469\) 0.501426 + 2.25252i 0.0231537 + 0.104012i
\(470\) 0.909421 1.50192i 0.0419485 0.0692782i
\(471\) 5.17560 + 18.7665i 0.238479 + 0.864712i
\(472\) −2.15959 26.4864i −0.0994034 1.21914i
\(473\) 1.26393 + 9.56197i 0.0581156 + 0.439660i
\(474\) 0.982567 8.22449i 0.0451308 0.377763i
\(475\) −2.64822 1.58095i −0.121508 0.0725390i
\(476\) −0.423883 0.662057i −0.0194287 0.0303453i
\(477\) 6.80017 + 4.29406i 0.311358 + 0.196612i
\(478\) 16.2685 11.4504i 0.744104 0.523731i
\(479\) 1.09280 2.72221i 0.0499315 0.124381i −0.900963 0.433896i \(-0.857139\pi\)
0.950895 + 0.309515i \(0.100167\pi\)
\(480\) 0.146194 0.505328i 0.00667282 0.0230649i
\(481\) −4.02904 2.61529i −0.183708 0.119247i
\(482\) −15.8347 39.4447i −0.721250 1.79666i
\(483\) −7.56849 + 0.760379i −0.344378 + 0.0345985i
\(484\) −0.450825 1.01143i −0.0204920 0.0459742i
\(485\) −4.60414 + 2.74861i −0.209063 + 0.124808i
\(486\) −21.1583 10.5648i −0.959762 0.479228i
\(487\) −27.7198 12.1482i −1.25611 0.550486i −0.335891 0.941901i \(-0.609037\pi\)
−0.920214 + 0.391415i \(0.871986\pi\)
\(488\) 3.18730 + 1.95730i 0.144282 + 0.0886026i
\(489\) −1.80406 + 0.659469i −0.0815826 + 0.0298222i
\(490\) −3.13056 + 1.05631i −0.141424 + 0.0477194i
\(491\) −8.76988 15.7928i −0.395779 0.712719i 0.600433 0.799675i \(-0.294995\pi\)
−0.996212 + 0.0869566i \(0.972286\pi\)
\(492\) 2.69554 0.872105i 0.121524 0.0393175i
\(493\) 11.1334 16.9190i 0.501423 0.761992i
\(494\) 0.809623 5.58592i 0.0364267 0.251323i
\(495\) 1.55259 0.799673i 0.0697839 0.0359426i
\(496\) −4.89321 + 14.2077i −0.219712 + 0.637945i
\(497\) −8.45749 1.49735i −0.379370 0.0671652i
\(498\) 6.59539 + 20.8295i 0.295547 + 0.933392i
\(499\) 3.26608 15.5895i 0.146210 0.697880i −0.841331 0.540520i \(-0.818228\pi\)
0.987541 0.157360i \(-0.0502983\pi\)
\(500\) 0.667767 0.577959i 0.0298634 0.0258471i
\(501\) −12.7739 15.7274i −0.570694 0.702648i
\(502\) −2.89105 −0.129034
\(503\) 12.8838 18.3578i 0.574461 0.818532i
\(504\) −4.56207 −0.203211
\(505\) 2.21559 + 2.72787i 0.0985924 + 0.121389i
\(506\) 23.2264 20.1027i 1.03254 0.893674i
\(507\) −4.78711 + 22.8495i −0.212603 + 1.01478i
\(508\) −0.464201 1.46604i −0.0205956 0.0650448i
\(509\) 17.1982 + 3.04484i 0.762298 + 0.134960i 0.541892 0.840448i \(-0.317708\pi\)
0.220406 + 0.975408i \(0.429262\pi\)
\(510\) −0.627537 + 1.82209i −0.0277878 + 0.0806834i
\(511\) −0.895807 + 0.461391i −0.0396282 + 0.0204107i
\(512\) −2.44439 + 16.8649i −0.108028 + 0.745329i
\(513\) −1.78503 + 2.71263i −0.0788109 + 0.119766i
\(514\) −21.5573 + 6.97457i −0.950851 + 0.307635i
\(515\) −1.48234 2.66940i −0.0653198 0.117628i
\(516\) 0.933270 0.314904i 0.0410849 0.0138629i
\(517\) −7.89882 + 2.88738i −0.347390 + 0.126987i
\(518\) −0.941699 0.578290i −0.0413759 0.0254086i
\(519\) 22.7131 + 9.95399i 0.996996 + 0.436932i
\(520\) −4.98247 2.48784i −0.218496 0.109099i
\(521\) 21.5833 12.8849i 0.945581 0.564499i 0.0449050 0.998991i \(-0.485701\pi\)
0.900676 + 0.434492i \(0.143072\pi\)
\(522\) 6.85379 + 15.3766i 0.299982 + 0.673015i
\(523\) 1.68175 0.168960i 0.0735378 0.00738808i −0.0631260 0.998006i \(-0.520107\pi\)
0.136664 + 0.990617i \(0.456362\pi\)
\(524\) −1.68487 4.19707i −0.0736041 0.183350i
\(525\) 3.89484 + 2.52819i 0.169985 + 0.110339i
\(526\) 0.676402 2.33802i 0.0294925 0.101942i
\(527\) 4.34112 10.8139i 0.189102 0.471060i
\(528\) −9.73407 + 6.85123i −0.423621 + 0.298162i
\(529\) −34.4224 21.7365i −1.49663 0.945065i
\(530\) 1.21789 + 1.90220i 0.0529017 + 0.0826263i
\(531\) −16.5797 9.89784i −0.719496 0.429530i
\(532\) 0.0171504 0.143556i 0.000743564 0.00622393i
\(533\) −8.42367 63.7273i −0.364870 2.76033i
\(534\) −1.75934 21.5775i −0.0761341 0.933749i
\(535\) 1.70937 + 6.19808i 0.0739025 + 0.267967i
\(536\) 3.44139 5.68349i 0.148646 0.245489i
\(537\) 3.26280 + 14.6573i 0.140800 + 0.632507i
\(538\) 11.1020 + 0.277969i 0.478639 + 0.0119841i
\(539\) 14.8636 + 5.43335i 0.640222 + 0.234031i
\(540\) −0.284843 0.359814i −0.0122577 0.0154839i
\(541\) −15.1585 + 29.8887i −0.651713 + 1.28502i 0.292684 + 0.956209i \(0.405452\pi\)
−0.944397 + 0.328808i \(0.893353\pi\)
\(542\) 13.1126 22.2803i 0.563236 0.957022i
\(543\) 11.9766 + 12.0517i 0.513963 + 0.517190i
\(544\) −0.935219 + 4.76002i −0.0400972 + 0.204084i
\(545\) −1.65997 + 2.98926i −0.0711051 + 0.128046i
\(546\) −1.53377 + 8.35817i −0.0656393 + 0.357697i
\(547\) 2.72842 + 25.5490i 0.116659 + 1.09240i 0.889228 + 0.457465i \(0.151242\pi\)
−0.772569 + 0.634931i \(0.781029\pi\)
\(548\) −4.44242 + 0.729282i −0.189771 + 0.0311534i
\(549\) 2.50268 1.05966i 0.106812 0.0452250i
\(550\) −18.7385 + 0.703940i −0.799011 + 0.0300161i
\(551\) 3.55802 1.10215i 0.151577 0.0469532i
\(552\) 17.2562 + 13.4859i 0.734474 + 0.573999i
\(553\) −4.63257 1.30887i −0.196997 0.0556587i
\(554\) 21.3434 5.45729i 0.906796 0.231858i
\(555\) 0.0357794 + 0.299488i 0.00151875 + 0.0127126i
\(556\) −0.0996925 + 0.223662i −0.00422790 + 0.00948537i
\(557\) 6.36550 19.2623i 0.269715 0.816171i −0.722471 0.691401i \(-0.756994\pi\)
0.992186 0.124770i \(-0.0398192\pi\)
\(558\) 5.62432 + 7.88558i 0.238096 + 0.333823i
\(559\) −3.20566 22.1172i −0.135585 0.935458i
\(560\) −1.30793 0.612666i −0.0552699 0.0258899i
\(561\) 7.80484 4.92847i 0.329521 0.208080i
\(562\) −5.14766 + 12.3728i −0.217141 + 0.521914i
\(563\) 4.27650 4.52441i 0.180233 0.190681i −0.630340 0.776319i \(-0.717084\pi\)
0.810573 + 0.585638i \(0.199156\pi\)
\(564\) 0.444838 + 0.734652i 0.0187310 + 0.0309344i
\(565\) −0.457911 + 0.438279i −0.0192645 + 0.0184385i
\(566\) 25.8895 + 13.3345i 1.08822 + 0.560492i
\(567\) −0.189269 + 0.265364i −0.00794854 + 0.0111443i
\(568\) 14.6106 + 19.9518i 0.613048 + 0.837160i
\(569\) 39.0091 5.40495i 1.63535 0.226587i 0.740210 0.672376i \(-0.234726\pi\)
0.895138 + 0.445789i \(0.147077\pi\)
\(570\) −0.302016 + 0.185466i −0.0126501 + 0.00776832i
\(571\) −4.20324 + 5.30953i −0.175900 + 0.222197i −0.864095 0.503329i \(-0.832109\pi\)
0.688195 + 0.725526i \(0.258403\pi\)
\(572\) −1.59905 3.47003i −0.0668595 0.145089i
\(573\) −5.50247 7.13237i −0.229869 0.297959i
\(574\) −2.30433 14.6081i −0.0961808 0.609731i
\(575\) 12.6646 + 36.7725i 0.528152 + 1.53352i
\(576\) 9.31610 + 8.91667i 0.388171 + 0.371528i
\(577\) −4.58424 + 20.5934i −0.190844 + 0.857316i 0.781526 + 0.623873i \(0.214442\pi\)
−0.972370 + 0.233443i \(0.925001\pi\)
\(578\) −1.86848 + 7.50294i −0.0777184 + 0.312081i
\(579\) −3.44262 + 0.743769i −0.143070 + 0.0309100i
\(580\) −0.00988237 + 0.526311i −0.000410343 + 0.0218539i
\(581\) 12.5551 1.90004i 0.520875 0.0788268i
\(582\) −1.32615 23.5204i −0.0549707 0.974952i
\(583\) 1.14882 10.7576i 0.0475794 0.445534i
\(584\) 2.78182 + 0.823698i 0.115113 + 0.0340849i
\(585\) −3.57397 + 1.89776i −0.147765 + 0.0784629i
\(586\) 18.1383 + 34.6813i 0.749287 + 1.43267i
\(587\) 4.46293 0.790135i 0.184205 0.0326124i −0.0814663 0.996676i \(-0.525960\pi\)
0.265671 + 0.964064i \(0.414407\pi\)
\(588\) 0.251817 1.59638i 0.0103848 0.0658334i
\(589\) 1.88003 1.02866i 0.0774652 0.0423851i
\(590\) −3.03746 4.49242i −0.125050 0.184950i
\(591\) −18.0947 + 18.2083i −0.744318 + 0.748991i
\(592\) 0.910239 + 3.46933i 0.0374106 + 0.142589i
\(593\) −1.67750 1.48902i −0.0688866 0.0611467i 0.628695 0.777652i \(-0.283589\pi\)
−0.697582 + 0.716505i \(0.745741\pi\)
\(594\) −0.123553 + 19.7425i −0.00506945 + 0.810045i
\(595\) 0.989202 + 0.525263i 0.0405533 + 0.0215337i
\(596\) 0.429200 + 0.421216i 0.0175807 + 0.0172537i
\(597\) −14.2880 16.3009i −0.584770 0.667153i
\(598\) −53.2297 + 47.2489i −2.17672 + 1.93215i
\(599\) −9.25757 6.17524i −0.378254 0.252314i 0.351262 0.936277i \(-0.385753\pi\)
−0.729516 + 0.683964i \(0.760255\pi\)
\(600\) −3.06811 13.0126i −0.125255 0.531235i
\(601\) −0.0318546 1.69650i −0.00129937 0.0692016i −0.999875 0.0158387i \(-0.994958\pi\)
0.998575 0.0533629i \(-0.0169940\pi\)
\(602\) −0.864631 5.06827i −0.0352397 0.206567i
\(603\) −1.91013 4.43384i −0.0777867 0.180560i
\(604\) 0.452197 0.178252i 0.0183996 0.00725299i
\(605\) 1.26701 + 0.940066i 0.0515114 + 0.0382191i
\(606\) −15.1307 + 3.07126i −0.614645 + 0.124762i
\(607\) 22.7768 23.5009i 0.924484 0.953874i −0.0745765 0.997215i \(-0.523761\pi\)
0.999060 + 0.0433415i \(0.0138003\pi\)
\(608\) −0.688978 + 0.566784i −0.0279417 + 0.0229861i
\(609\) −5.41528 + 1.45707i −0.219438 + 0.0590436i
\(610\) 0.762731 + 0.0286532i 0.0308821 + 0.00116013i
\(611\) 18.2168 6.91876i 0.736973 0.279903i
\(612\) 1.12973 + 1.19522i 0.0456665 + 0.0483139i
\(613\) −5.86594 + 21.2696i −0.236923 + 0.859071i 0.744565 + 0.667550i \(0.232657\pi\)
−0.981489 + 0.191521i \(0.938658\pi\)
\(614\) −2.98921 0.567896i −0.120635 0.0229184i
\(615\) −2.73572 + 2.96786i −0.110315 + 0.119676i
\(616\) 2.70711 + 5.50757i 0.109073 + 0.221906i
\(617\) 10.4868 + 42.1100i 0.422181 + 1.69528i 0.683433 + 0.730013i \(0.260486\pi\)
−0.261252 + 0.965271i \(0.584135\pi\)
\(618\) 13.4102 0.335762i 0.539437 0.0135063i
\(619\) 5.97517 + 2.01614i 0.240162 + 0.0810356i 0.437214 0.899358i \(-0.355965\pi\)
−0.197051 + 0.980393i \(0.563137\pi\)
\(620\) 0.0546642 + 0.297888i 0.00219537 + 0.0119635i
\(621\) 39.2631 11.6258i 1.57557 0.466527i
\(622\) −4.87803 + 4.78729i −0.195591 + 0.191953i
\(623\) −12.5466 0.943998i −0.502669 0.0378205i
\(624\) 22.3539 16.1557i 0.894872 0.646746i
\(625\) 7.79644 21.7494i 0.311858 0.869974i
\(626\) −11.9449 20.8899i −0.477413 0.834929i
\(627\) 1.68433 + 0.211924i 0.0672658 + 0.00846344i
\(628\) 3.71197 + 2.82682i 0.148124 + 0.112803i
\(629\) −0.570337 2.72229i −0.0227408 0.108545i
\(630\) −0.811049 + 0.457047i −0.0323130 + 0.0182092i
\(631\) 2.54270 0.159334i 0.101223 0.00634299i −0.0118486 0.999930i \(-0.503772\pi\)
0.113072 + 0.993587i \(0.463931\pi\)
\(632\) 7.03002 + 11.9450i 0.279639 + 0.475148i
\(633\) −5.69122 + 21.6918i −0.226206 + 0.862171i
\(634\) 6.35320 4.23788i 0.252318 0.168308i
\(635\) 1.60159 + 1.49496i 0.0635571 + 0.0593258i
\(636\) −1.10058 + 0.0966738i −0.0436408 + 0.00383337i
\(637\) −34.5947 12.1573i −1.37069 0.481690i
\(638\) 14.4964 17.3987i 0.573919 0.688819i
\(639\) 17.9675 0.224898i 0.710782 0.00889683i
\(640\) 1.67023 + 4.31609i 0.0660218 + 0.170608i
\(641\) −12.5846 + 25.6031i −0.497061 + 1.01126i 0.492922 + 0.870073i \(0.335929\pi\)
−0.989983 + 0.141188i \(0.954908\pi\)
\(642\) −27.6097 5.96501i −1.08967 0.235420i
\(643\) −4.14336 + 17.5729i −0.163398 + 0.693009i 0.827845 + 0.560957i \(0.189567\pi\)
−0.991243 + 0.132052i \(0.957844\pi\)
\(644\) −1.33274 + 1.24401i −0.0525173 + 0.0490210i
\(645\) −0.938119 + 1.04364i −0.0369384 + 0.0410932i
\(646\) 2.62474 1.94743i 0.103269 0.0766207i
\(647\) −15.2373 + 24.4680i −0.599040 + 0.961936i 0.399929 + 0.916546i \(0.369035\pi\)
−0.998969 + 0.0453897i \(0.985547\pi\)
\(648\) 0.921971 0.175158i 0.0362185 0.00688085i
\(649\) −2.11090 + 25.8892i −0.0828600 + 1.01624i
\(650\) 43.3942 2.17436i 1.70206 0.0852853i
\(651\) −2.88661 + 1.44134i −0.113135 + 0.0564906i
\(652\) −0.248236 + 0.387717i −0.00972168 + 0.0151842i
\(653\) 9.40579 4.40592i 0.368077 0.172417i −0.231302 0.972882i \(-0.574299\pi\)
0.599379 + 0.800465i \(0.295414\pi\)
\(654\) −8.25752 12.5486i −0.322894 0.490689i
\(655\) 5.02692 + 4.03094i 0.196418 + 0.157502i
\(656\) −27.3808 + 39.4239i −1.06904 + 1.53924i
\(657\) 1.66100 1.29809i 0.0648019 0.0506433i
\(658\) 4.14984 1.69614i 0.161778 0.0661226i
\(659\) 16.0669 + 14.6253i 0.625878 + 0.569720i 0.922847 0.385167i \(-0.125856\pi\)
−0.296969 + 0.954887i \(0.595976\pi\)
\(660\) −0.103127 + 0.216617i −0.00401421 + 0.00843180i
\(661\) −6.34402 + 5.77479i −0.246754 + 0.224613i −0.787094 0.616833i \(-0.788415\pi\)
0.540340 + 0.841447i \(0.318296\pi\)
\(662\) 4.38960 + 14.4910i 0.170607 + 0.563208i
\(663\) −17.9399 + 11.6450i −0.696728 + 0.452254i
\(664\) −29.8973 21.0429i −1.16024 0.816624i
\(665\) 0.0791231 + 0.190178i 0.00306826 + 0.00737479i
\(666\) 2.16129 + 0.820860i 0.0837483 + 0.0318077i
\(667\) −43.2529 18.3136i −1.67476 0.709106i
\(668\) −4.71950 1.14399i −0.182603 0.0442623i
\(669\) 6.38576 14.8227i 0.246888 0.573080i
\(670\) 0.0424188 1.35519i 0.00163878 0.0523555i
\(671\) −2.76435 2.39257i −0.106717 0.0923643i
\(672\) 1.06859 0.813776i 0.0412217 0.0313921i
\(673\) 7.15237 4.14934i 0.275704 0.159945i −0.357540 0.933898i \(-0.616384\pi\)
0.633244 + 0.773952i \(0.281723\pi\)
\(674\) 37.4724 10.5873i 1.44338 0.407808i
\(675\) −23.1386 9.45735i −0.890607 0.364013i
\(676\) 2.40519 + 5.05207i 0.0925072 + 0.194310i
\(677\) −11.8451 + 39.1032i −0.455246 + 1.50286i 0.365088 + 0.930973i \(0.381039\pi\)
−0.820333 + 0.571886i \(0.806212\pi\)
\(678\) −0.773900 2.67502i −0.0297214 0.102734i
\(679\) −13.6228 1.36863i −0.522794 0.0525233i
\(680\) −1.01184 3.06187i −0.0388022 0.117417i
\(681\) 1.68754 2.30445i 0.0646667 0.0883069i
\(682\) 6.18245 11.4692i 0.236738 0.439180i
\(683\) −0.834539 + 19.0381i −0.0319328 + 0.728474i 0.914310 + 0.405016i \(0.132734\pi\)
−0.946242 + 0.323458i \(0.895154\pi\)
\(684\) 0.0208052 + 0.301749i 0.000795506 + 0.0115377i
\(685\) 5.00386 4.01244i 0.191187 0.153308i
\(686\) −17.1339 5.54345i −0.654176 0.211650i
\(687\) −3.06017 15.5755i −0.116753 0.594242i
\(688\) −9.34698 + 13.8243i −0.356350 + 0.527045i
\(689\) −2.34970 + 24.9573i −0.0895166 + 0.950797i
\(690\) 4.41891 + 0.668737i 0.168225 + 0.0254584i
\(691\) 4.98163 29.2012i 0.189510 1.11086i −0.719625 0.694363i \(-0.755686\pi\)
0.909135 0.416502i \(-0.136744\pi\)
\(692\) 5.77635 1.40017i 0.219584 0.0532264i
\(693\) 4.40030 + 0.722367i 0.167153 + 0.0274405i
\(694\) 2.05990 36.5341i 0.0781928 1.38682i
\(695\) −0.0327017 0.347340i −0.00124045 0.0131754i
\(696\) 14.1645 + 7.75013i 0.536906 + 0.293768i
\(697\) 22.7362 29.4709i 0.861194 1.11629i
\(698\) 43.1623 + 9.89213i 1.63372 + 0.374422i
\(699\) −15.8502 + 13.3752i −0.599511 + 0.505898i
\(700\) 1.10979 0.0834995i 0.0419460 0.00315599i
\(701\) −19.0869 + 21.7759i −0.720903 + 0.822465i −0.990062 0.140630i \(-0.955087\pi\)
0.269159 + 0.963096i \(0.413254\pi\)
\(702\) −0.286280 45.7445i −0.0108049 1.72651i
\(703\) 0.237064 0.453277i 0.00894103 0.0170957i
\(704\) 5.23654 16.5380i 0.197360 0.623299i
\(705\) −1.06599 0.600712i −0.0401474 0.0226241i
\(706\) −5.94246 2.87484i −0.223647 0.108196i
\(707\) 0.392957 + 8.96444i 0.0147787 + 0.337143i
\(708\) 2.63577 0.298174i 0.0990584 0.0112060i
\(709\) −22.6703 18.6496i −0.851401 0.700400i 0.104362 0.994539i \(-0.466720\pi\)
−0.955763 + 0.294139i \(0.904967\pi\)
\(710\) 4.59635 + 2.08330i 0.172498 + 0.0781849i
\(711\) 10.0324 + 0.881240i 0.376246 + 0.0330491i
\(712\) 24.2176 + 26.9415i 0.907593 + 1.00968i
\(713\) −26.4839 5.37574i −0.991828 0.201323i
\(714\) −4.05894 + 2.78153i −0.151902 + 0.104096i
\(715\) 4.41186 + 3.18856i 0.164994 + 0.119245i
\(716\) 2.75054 + 2.32104i 0.102792 + 0.0867415i
\(717\) −8.33051 11.0822i −0.311108 0.413872i
\(718\) −12.3418 + 1.55285i −0.460590 + 0.0579518i
\(719\) −39.0491 22.6537i −1.45628 0.844841i −0.457274 0.889326i \(-0.651174\pi\)
−0.999010 + 0.0444844i \(0.985835\pi\)
\(720\) 2.92742 + 0.748511i 0.109099 + 0.0278954i
\(721\) 1.02164 7.72898i 0.0380479 0.287842i
\(722\) −27.8676 1.39636i −1.03712 0.0519673i
\(723\) −27.1300 + 11.8897i −1.00897 + 0.442181i
\(724\) 4.03373 + 0.558897i 0.149912 + 0.0207712i
\(725\) 13.6053 + 25.2395i 0.505286 + 0.937372i
\(726\) −6.23942 + 3.01850i −0.231567 + 0.112027i
\(727\) 21.4975 + 1.34710i 0.797297 + 0.0499613i 0.455983 0.889988i \(-0.349288\pi\)
0.341313 + 0.939950i \(0.389128\pi\)
\(728\) −6.43175 12.6818i −0.238376 0.470020i
\(729\) −6.44863 + 13.9939i −0.238838 + 0.518293i
\(730\) 0.577077 0.132257i 0.0213586 0.00489505i
\(731\) 7.77565 10.3441i 0.287593 0.382589i
\(732\) −0.185324 + 0.324105i −0.00684976 + 0.0119793i
\(733\) 6.69147 + 7.82974i 0.247155 + 0.289198i 0.869901 0.493226i \(-0.164182\pi\)
−0.622746 + 0.782424i \(0.713983\pi\)
\(734\) 6.90422 + 8.28647i 0.254839 + 0.305859i
\(735\) 0.804030 + 2.15756i 0.0296571 + 0.0795829i
\(736\) 11.2492 + 0.140806i 0.414651 + 0.00519017i
\(737\) −4.21930 + 4.93703i −0.155420 + 0.181858i
\(738\) 10.4402 + 29.1245i 0.384309 + 1.07209i
\(739\) 21.1295 + 14.4797i 0.777260 + 0.532645i 0.887251 0.461287i \(-0.152612\pi\)
−0.109991 + 0.993933i \(0.535082\pi\)
\(740\) 0.0503112 + 0.0519107i 0.00184948 + 0.00190827i
\(741\) −3.90853 0.442155i −0.143583 0.0162430i
\(742\) −0.396693 + 5.75346i −0.0145631 + 0.211216i
\(743\) −2.34894 3.38208i −0.0861741 0.124077i 0.775906 0.630848i \(-0.217293\pi\)
−0.862080 + 0.506772i \(0.830839\pi\)
\(744\) 8.87360 + 2.74873i 0.325322 + 0.100773i
\(745\) −0.827345 0.222611i −0.0303116 0.00815585i
\(746\) 5.05703 2.29211i 0.185151 0.0839199i
\(747\) −25.0628 + 8.80760i −0.917001 + 0.322253i
\(748\) 0.772557 2.07311i 0.0282475 0.0758002i
\(749\) −5.92469 + 15.3101i −0.216483 + 0.559419i
\(750\) −3.74657 4.06449i −0.136806 0.148414i
\(751\) 20.4532 + 32.8437i 0.746348 + 1.19848i 0.974397 + 0.224833i \(0.0721837\pi\)
−0.228049 + 0.973650i \(0.573235\pi\)
\(752\) −13.5369 5.33612i −0.493639 0.194588i
\(753\) 0.0630328 + 2.01376i 0.00229704 + 0.0733856i
\(754\) −33.0818 + 40.7308i −1.20477 + 1.48333i
\(755\) −0.436591 + 0.537538i −0.0158892 + 0.0195630i
\(756\) −0.0366590 1.17118i −0.00133328 0.0425953i
\(757\) −20.4332 8.05459i −0.742657 0.292749i −0.0350792 0.999385i \(-0.511168\pi\)
−0.707578 + 0.706635i \(0.750212\pi\)
\(758\) −6.81516 10.9438i −0.247538 0.397495i
\(759\) −14.5089 15.7401i −0.526641 0.571329i
\(760\) 0.214034 0.553090i 0.00776383 0.0200627i
\(761\) −1.17845 + 3.16230i −0.0427188 + 0.114633i −0.956654 0.291227i \(-0.905936\pi\)
0.913935 + 0.405860i \(0.133028\pi\)
\(762\) −9.08087 + 3.19121i −0.328965 + 0.115605i
\(763\) −7.95173 + 3.60413i −0.287872 + 0.130478i
\(764\) −2.08490 0.560980i −0.0754292 0.0202955i
\(765\) −2.23822 0.693323i −0.0809230 0.0250671i
\(766\) 32.4143 + 46.6714i 1.17118 + 1.68630i
\(767\) 4.13989 60.0431i 0.149483 2.16803i
\(768\) −6.15343 0.696111i −0.222043 0.0251187i
\(769\) −7.60090 7.84254i −0.274095 0.282809i 0.566975 0.823735i \(-0.308114\pi\)
−0.841070 + 0.540926i \(0.818074\pi\)
\(770\) 1.03304 + 0.707931i 0.0372283 + 0.0255121i
\(771\) 5.32815 + 14.8637i 0.191888 + 0.535302i
\(772\) −0.548433 + 0.641726i −0.0197385