Properties

Label 605.2.s.b.16.9
Level $605$
Weight $2$
Character 605.16
Analytic conductor $4.831$
Analytic rank $0$
Dimension $880$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 16.9
Character \(\chi\) \(=\) 605.16
Dual form 605.2.s.b.416.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.457329 - 0.0524736i) q^{2} +(-2.01066 - 1.46083i) q^{3} +(-1.74163 - 0.404998i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(0.842877 + 0.773585i) q^{6} +(1.60972 + 1.65636i) q^{7} +(1.64236 + 0.585993i) q^{8} +(0.981676 + 3.02129i) q^{9} +O(q^{10})\) \(q+(-0.457329 - 0.0524736i) q^{2} +(-2.01066 - 1.46083i) q^{3} +(-1.74163 - 0.404998i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(0.842877 + 0.773585i) q^{6} +(1.60972 + 1.65636i) q^{7} +(1.64236 + 0.585993i) q^{8} +(0.981676 + 3.02129i) q^{9} +(0.301451 - 0.347893i) q^{10} +(2.92655 - 1.56055i) q^{11} +(2.91019 + 3.35853i) q^{12} +(-0.0161511 + 0.0267836i) q^{13} +(-0.649254 - 0.841968i) q^{14} +(2.34078 - 0.835187i) q^{15} +(2.48892 + 1.22372i) q^{16} +(3.34208 - 2.73280i) q^{17} +(-0.290411 - 1.43323i) q^{18} +(-6.35510 - 0.363398i) q^{19} +(1.31736 - 1.20907i) q^{20} +(-0.816933 - 5.68190i) q^{21} +(-1.42028 + 0.560119i) q^{22} +(0.114333 - 0.795204i) q^{23} +(-2.44619 - 3.57744i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(0.00879180 - 0.0114014i) q^{26} +(0.135761 - 0.417829i) q^{27} +(-2.13271 - 3.53669i) q^{28} +(-1.21671 + 3.12510i) q^{29} +(-1.11433 + 0.259126i) q^{30} +(-3.37902 - 1.42799i) q^{31} +(-4.00795 - 2.57575i) q^{32} +(-8.16399 - 1.13744i) q^{33} +(-1.67183 + 1.07442i) q^{34} +(-2.27587 + 0.393855i) q^{35} +(-0.486098 - 5.65954i) q^{36} +(0.849231 - 9.88742i) q^{37} +(2.88730 + 0.499667i) q^{38} +(0.0716007 - 0.0302587i) q^{39} +(-1.41074 + 1.02496i) q^{40} +(-5.98010 + 3.37712i) q^{41} +(0.0754576 + 2.64136i) q^{42} +(7.96743 - 2.33945i) q^{43} +(-5.72898 + 1.53266i) q^{44} +(-3.04809 - 0.895000i) q^{45} +(-0.0940150 + 0.357670i) q^{46} +(1.10534 - 5.45509i) q^{47} +(-3.21673 - 6.09637i) q^{48} +(0.0475539 - 1.66460i) q^{49} +(0.117024 + 0.445206i) q^{50} +(-10.7119 + 0.612531i) q^{51} +(0.0389766 - 0.0401059i) q^{52} +(4.58520 - 2.25439i) q^{53} +(-0.0840124 + 0.183961i) q^{54} +(-0.363677 + 3.29663i) q^{55} +(1.67312 + 3.66362i) q^{56} +(12.2471 + 10.0144i) q^{57} +(0.720423 - 1.36535i) q^{58} +(-10.7433 - 6.06702i) q^{59} +(-4.41501 + 0.506575i) q^{60} +(6.62760 - 0.760446i) q^{61} +(1.47039 + 0.830369i) q^{62} +(-3.42412 + 6.48943i) q^{63} +(-2.59635 - 2.12303i) q^{64} +(-0.0129927 - 0.0284501i) q^{65} +(3.67394 + 0.948579i) q^{66} +(4.32546 - 9.47144i) q^{67} +(-6.92744 + 3.40599i) q^{68} +(-1.39154 + 1.43186i) q^{69} +(1.06149 - 0.0606981i) q^{70} +(-2.47648 - 9.42150i) q^{71} +(-0.158188 + 5.53730i) q^{72} +(3.17434 + 6.01603i) q^{73} +(-0.907206 + 4.47724i) q^{74} +(-0.631812 + 2.40366i) q^{75} +(10.9210 + 3.20671i) q^{76} +(7.29575 + 2.33536i) q^{77} +(-0.0343328 + 0.0100810i) q^{78} +(-0.122974 - 4.30465i) q^{79} +(-2.41500 + 1.36381i) q^{80} +(6.82684 - 4.95999i) q^{81} +(2.91208 - 1.23065i) q^{82} +(-2.62717 - 0.454651i) q^{83} +(-0.878364 + 10.2266i) q^{84} +(0.369439 + 4.30130i) q^{85} +(-3.76649 + 0.651817i) q^{86} +(7.01164 - 4.50611i) q^{87} +(5.72092 - 0.848055i) q^{88} +(10.3706 + 6.66479i) q^{89} +(1.34701 + 0.569253i) q^{90} +(-0.0703620 + 0.0163620i) q^{91} +(-0.521182 + 1.33865i) q^{92} +(4.70802 + 7.80737i) q^{93} +(-0.791753 + 2.43677i) q^{94} +(3.88707 - 5.04084i) q^{95} +(4.29588 + 11.0339i) q^{96} +(6.32832 + 9.25487i) q^{97} +(-0.109096 + 0.758776i) q^{98} +(7.58780 + 7.30998i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} + O(q^{10}) \) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} - 6q^{10} + 5q^{11} - 5q^{12} - 26q^{13} - 108q^{14} - 12q^{15} + 34q^{16} - q^{17} - 14q^{18} + q^{19} + 19q^{20} - 10q^{21} + 275q^{22} - 51q^{23} + 283q^{24} + 22q^{25} - 16q^{27} - 4q^{28} - 19q^{29} + q^{30} - 34q^{31} - 122q^{32} + 19q^{33} + 52q^{34} + 8q^{35} - 21q^{36} - 109q^{37} - 10q^{38} - 9q^{39} - 64q^{40} + 4q^{41} - 49q^{42} - 97q^{43} + 17q^{44} - 80q^{45} - 91q^{46} + 166q^{47} - 159q^{48} + 175q^{49} + 4q^{50} - 112q^{51} - 128q^{52} - 141q^{53} - 37q^{54} - 5q^{55} + 79q^{56} - 204q^{57} - 190q^{58} + 9q^{59} - 22q^{60} + 2q^{61} - 105q^{62} - q^{63} - 176q^{64} - 14q^{65} - 112q^{66} - 13q^{67} - 35q^{68} - 53q^{69} + 24q^{70} - 50q^{71} + 705q^{72} + q^{73} + 40q^{74} - q^{75} - 148q^{76} - 104q^{77} - 187q^{78} - 83q^{79} - q^{80} - 238q^{81} - 54q^{82} - 151q^{83} + 4q^{84} - 29q^{85} - 39q^{86} - 74q^{87} - 143q^{88} - 52q^{89} - 28q^{90} - 188q^{91} - 253q^{92} + 122q^{93} - 187q^{94} + 122q^{95} - 155q^{96} + 283q^{97} - 92q^{98} + 172q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.457329 0.0524736i −0.323380 0.0371044i −0.0492185 0.998788i \(-0.515673\pi\)
−0.274162 + 0.961684i \(0.588400\pi\)
\(3\) −2.01066 1.46083i −1.16085 0.843410i −0.170969 0.985276i \(-0.554690\pi\)
−0.989886 + 0.141866i \(0.954690\pi\)
\(4\) −1.74163 0.404998i −0.870814 0.202499i
\(5\) −0.564443 + 0.825472i −0.252427 + 0.369162i
\(6\) 0.842877 + 0.773585i 0.344103 + 0.315815i
\(7\) 1.60972 + 1.65636i 0.608416 + 0.626045i 0.949417 0.314018i \(-0.101675\pi\)
−0.341001 + 0.940063i \(0.610766\pi\)
\(8\) 1.64236 + 0.585993i 0.580662 + 0.207180i
\(9\) 0.981676 + 3.02129i 0.327225 + 1.00710i
\(10\) 0.301451 0.347893i 0.0953273 0.110014i
\(11\) 2.92655 1.56055i 0.882387 0.470524i
\(12\) 2.91019 + 3.35853i 0.840098 + 0.969525i
\(13\) −0.0161511 + 0.0267836i −0.00447951 + 0.00742844i −0.858581 0.512678i \(-0.828653\pi\)
0.854101 + 0.520107i \(0.174108\pi\)
\(14\) −0.649254 0.841968i −0.173521 0.225025i
\(15\) 2.34078 0.835187i 0.604386 0.215644i
\(16\) 2.48892 + 1.22372i 0.622230 + 0.305930i
\(17\) 3.34208 2.73280i 0.810573 0.662802i −0.134045 0.990975i \(-0.542797\pi\)
0.944618 + 0.328173i \(0.106433\pi\)
\(18\) −0.290411 1.43323i −0.0684505 0.337816i
\(19\) −6.35510 0.363398i −1.45796 0.0833691i −0.689973 0.723835i \(-0.742378\pi\)
−0.767986 + 0.640466i \(0.778741\pi\)
\(20\) 1.31736 1.20907i 0.294572 0.270355i
\(21\) −0.816933 5.68190i −0.178269 1.23989i
\(22\) −1.42028 + 0.560119i −0.302805 + 0.119418i
\(23\) 0.114333 0.795204i 0.0238401 0.165812i −0.974423 0.224721i \(-0.927853\pi\)
0.998263 + 0.0589090i \(0.0187622\pi\)
\(24\) −2.44619 3.57744i −0.499327 0.730242i
\(25\) −0.362808 0.931864i −0.0725615 0.186373i
\(26\) 0.00879180 0.0114014i 0.00172421 0.00223600i
\(27\) 0.135761 0.417829i 0.0261272 0.0804113i
\(28\) −2.13271 3.53669i −0.403043 0.668372i
\(29\) −1.21671 + 3.12510i −0.225938 + 0.580317i −0.998508 0.0546129i \(-0.982608\pi\)
0.772570 + 0.634930i \(0.218971\pi\)
\(30\) −1.11433 + 0.259126i −0.203448 + 0.0473097i
\(31\) −3.37902 1.42799i −0.606890 0.256474i 0.0640959 0.997944i \(-0.479584\pi\)
−0.670986 + 0.741470i \(0.734129\pi\)
\(32\) −4.00795 2.57575i −0.708512 0.455333i
\(33\) −8.16399 1.13744i −1.42117 0.198004i
\(34\) −1.67183 + 1.07442i −0.286716 + 0.184261i
\(35\) −2.27587 + 0.393855i −0.384693 + 0.0665737i
\(36\) −0.486098 5.65954i −0.0810164 0.943256i
\(37\) 0.849231 9.88742i 0.139613 1.62548i −0.506500 0.862240i \(-0.669061\pi\)
0.646113 0.763242i \(-0.276393\pi\)
\(38\) 2.88730 + 0.499667i 0.468382 + 0.0810566i
\(39\) 0.0716007 0.0302587i 0.0114653 0.00484527i
\(40\) −1.41074 + 1.02496i −0.223058 + 0.162061i
\(41\) −5.98010 + 3.37712i −0.933934 + 0.527417i −0.882008 0.471234i \(-0.843809\pi\)
−0.0519258 + 0.998651i \(0.516536\pi\)
\(42\) 0.0754576 + 2.64136i 0.0116434 + 0.407571i
\(43\) 7.96743 2.33945i 1.21502 0.356762i 0.389443 0.921050i \(-0.372667\pi\)
0.825578 + 0.564288i \(0.190849\pi\)
\(44\) −5.72898 + 1.53266i −0.863676 + 0.231057i
\(45\) −3.04809 0.895000i −0.454382 0.133419i
\(46\) −0.0940150 + 0.357670i −0.0138618 + 0.0527356i
\(47\) 1.10534 5.45509i 0.161231 0.795706i −0.815082 0.579345i \(-0.803308\pi\)
0.976313 0.216361i \(-0.0694189\pi\)
\(48\) −3.21673 6.09637i −0.464294 0.879936i
\(49\) 0.0475539 1.66460i 0.00679342 0.237801i
\(50\) 0.117024 + 0.445206i 0.0165497 + 0.0629616i
\(51\) −10.7119 + 0.612531i −1.49997 + 0.0857714i
\(52\) 0.0389766 0.0401059i 0.00540508 0.00556169i
\(53\) 4.58520 2.25439i 0.629826 0.309665i −0.0982492 0.995162i \(-0.531324\pi\)
0.728075 + 0.685497i \(0.240415\pi\)
\(54\) −0.0840124 + 0.183961i −0.0114326 + 0.0250340i
\(55\) −0.363677 + 3.29663i −0.0490381 + 0.444517i
\(56\) 1.67312 + 3.66362i 0.223580 + 0.489572i
\(57\) 12.2471 + 10.0144i 1.62216 + 1.32644i
\(58\) 0.720423 1.36535i 0.0945962 0.179280i
\(59\) −10.7433 6.06702i −1.39866 0.789859i −0.406358 0.913714i \(-0.633201\pi\)
−0.992300 + 0.123855i \(0.960474\pi\)
\(60\) −4.41501 + 0.506575i −0.569975 + 0.0653986i
\(61\) 6.62760 0.760446i 0.848577 0.0973651i 0.321215 0.947006i \(-0.395909\pi\)
0.527362 + 0.849641i \(0.323181\pi\)
\(62\) 1.47039 + 0.830369i 0.186740 + 0.105457i
\(63\) −3.42412 + 6.48943i −0.431399 + 0.817591i
\(64\) −2.59635 2.12303i −0.324544 0.265378i
\(65\) −0.0129927 0.0284501i −0.00161155 0.00352880i
\(66\) 3.67394 + 0.948579i 0.452231 + 0.116762i
\(67\) 4.32546 9.47144i 0.528439 1.15712i −0.437705 0.899119i \(-0.644209\pi\)
0.966144 0.258002i \(-0.0830642\pi\)
\(68\) −6.92744 + 3.40599i −0.840075 + 0.413037i
\(69\) −1.39154 + 1.43186i −0.167522 + 0.172376i
\(70\) 1.06149 0.0606981i 0.126872 0.00725481i
\(71\) −2.47648 9.42150i −0.293904 1.11813i −0.936142 0.351621i \(-0.885630\pi\)
0.642238 0.766505i \(-0.278006\pi\)
\(72\) −0.158188 + 5.53730i −0.0186426 + 0.652577i
\(73\) 3.17434 + 6.01603i 0.371528 + 0.704124i 0.997105 0.0760388i \(-0.0242273\pi\)
−0.625577 + 0.780162i \(0.715136\pi\)
\(74\) −0.907206 + 4.47724i −0.105461 + 0.520468i
\(75\) −0.631812 + 2.40366i −0.0729553 + 0.277551i
\(76\) 10.9210 + 3.20671i 1.25273 + 0.367834i
\(77\) 7.29575 + 2.33536i 0.831428 + 0.266139i
\(78\) −0.0343328 + 0.0100810i −0.00388743 + 0.00114145i
\(79\) −0.122974 4.30465i −0.0138357 0.484311i −0.976735 0.214450i \(-0.931204\pi\)
0.962899 0.269861i \(-0.0869778\pi\)
\(80\) −2.41500 + 1.36381i −0.270005 + 0.152479i
\(81\) 6.82684 4.95999i 0.758538 0.551110i
\(82\) 2.91208 1.23065i 0.321585 0.135903i
\(83\) −2.62717 0.454651i −0.288370 0.0499044i 0.0245018 0.999700i \(-0.492200\pi\)
−0.312872 + 0.949795i \(0.601291\pi\)
\(84\) −0.878364 + 10.2266i −0.0958374 + 1.11581i
\(85\) 0.369439 + 4.30130i 0.0400713 + 0.466542i
\(86\) −3.76649 + 0.651817i −0.406151 + 0.0702872i
\(87\) 7.01164 4.50611i 0.751727 0.483105i
\(88\) 5.72092 0.848055i 0.609852 0.0904030i
\(89\) 10.3706 + 6.66479i 1.09928 + 0.706466i 0.958932 0.283636i \(-0.0915406\pi\)
0.140351 + 0.990102i \(0.455177\pi\)
\(90\) 1.34701 + 0.569253i 0.141988 + 0.0600045i
\(91\) −0.0703620 + 0.0163620i −0.00737594 + 0.00171520i
\(92\) −0.521182 + 1.33865i −0.0543370 + 0.139563i
\(93\) 4.70802 + 7.80737i 0.488199 + 0.809587i
\(94\) −0.791753 + 2.43677i −0.0816631 + 0.251333i
\(95\) 3.88707 5.04084i 0.398805 0.517179i
\(96\) 4.29588 + 11.0339i 0.438447 + 1.12614i
\(97\) 6.32832 + 9.25487i 0.642544 + 0.939690i 0.999983 + 0.00575391i \(0.00183154\pi\)
−0.357440 + 0.933936i \(0.616350\pi\)
\(98\) −0.109096 + 0.758776i −0.0110203 + 0.0766479i
\(99\) 7.58780 + 7.30998i 0.762603 + 0.734681i
\(100\) 0.254473 + 1.76990i 0.0254473 + 0.176990i
\(101\) 0.234157 0.214907i 0.0232995 0.0213841i −0.664441 0.747341i \(-0.731330\pi\)
0.687740 + 0.725957i \(0.258603\pi\)
\(102\) 4.93102 + 0.281966i 0.488243 + 0.0279188i
\(103\) −1.29205 6.37654i −0.127310 0.628299i −0.992025 0.126037i \(-0.959774\pi\)
0.864716 0.502262i \(-0.167499\pi\)
\(104\) −0.0422210 + 0.0345239i −0.00414011 + 0.00338535i
\(105\) 5.15136 + 2.53275i 0.502721 + 0.247171i
\(106\) −2.21524 + 0.790396i −0.215163 + 0.0767701i
\(107\) −7.32403 9.49797i −0.708041 0.918204i 0.291220 0.956656i \(-0.405939\pi\)
−0.999260 + 0.0384527i \(0.987757\pi\)
\(108\) −0.405665 + 0.672720i −0.0390352 + 0.0647325i
\(109\) −12.9469 14.9415i −1.24008 1.43113i −0.863191 0.504877i \(-0.831538\pi\)
−0.376893 0.926257i \(-0.623008\pi\)
\(110\) 0.339305 1.48856i 0.0323515 0.141928i
\(111\) −16.1513 + 18.6396i −1.53302 + 1.76920i
\(112\) 1.97954 + 6.09239i 0.187049 + 0.575677i
\(113\) −14.1952 5.06482i −1.33537 0.476458i −0.430669 0.902510i \(-0.641722\pi\)
−0.904699 + 0.426052i \(0.859904\pi\)
\(114\) −5.07545 5.22251i −0.475359 0.489133i
\(115\) 0.591884 + 0.543226i 0.0551935 + 0.0506561i
\(116\) 3.38472 4.95000i 0.314264 0.459596i
\(117\) −0.0967762 0.0225043i −0.00894696 0.00208053i
\(118\) 4.59486 + 3.33836i 0.422991 + 0.307321i
\(119\) 9.90630 + 1.13664i 0.908109 + 0.104196i
\(120\) 4.33381 0.395621
\(121\) 6.12935 9.13406i 0.557213 0.830369i
\(122\) −3.07089 −0.278026
\(123\) 16.9573 + 1.94567i 1.52899 + 0.175435i
\(124\) 5.30667 + 3.85552i 0.476553 + 0.346236i
\(125\) 0.974012 + 0.226497i 0.0871183 + 0.0202585i
\(126\) 1.90647 2.78813i 0.169842 0.248386i
\(127\) 11.1318 + 10.2167i 0.987787 + 0.906583i 0.995630 0.0933866i \(-0.0297692\pi\)
−0.00784295 + 0.999969i \(0.502497\pi\)
\(128\) 7.71676 + 7.94036i 0.682072 + 0.701836i
\(129\) −19.4373 6.93522i −1.71136 0.610612i
\(130\) 0.00444907 + 0.0136928i 0.000390209 + 0.00120094i
\(131\) −10.1791 + 11.7473i −0.889353 + 1.02637i 0.110120 + 0.993918i \(0.464876\pi\)
−0.999473 + 0.0324502i \(0.989669\pi\)
\(132\) 13.7580 + 5.28741i 1.19748 + 0.460210i
\(133\) −9.62799 11.1113i −0.834853 0.963471i
\(134\) −2.47516 + 4.10459i −0.213821 + 0.354582i
\(135\) 0.268277 + 0.347908i 0.0230896 + 0.0299431i
\(136\) 7.09030 2.52981i 0.607988 0.216930i
\(137\) 5.26800 + 2.59010i 0.450076 + 0.221287i 0.652161 0.758081i \(-0.273863\pi\)
−0.202085 + 0.979368i \(0.564772\pi\)
\(138\) 0.711527 0.581813i 0.0605692 0.0495272i
\(139\) −3.86373 19.0683i −0.327717 1.61735i −0.717580 0.696476i \(-0.754750\pi\)
0.389863 0.920873i \(-0.372522\pi\)
\(140\) 4.12323 + 0.235775i 0.348477 + 0.0199266i
\(141\) −10.1914 + 9.35360i −0.858272 + 0.787715i
\(142\) 0.638184 + 4.43867i 0.0535553 + 0.372485i
\(143\) −0.00546973 + 0.103588i −0.000457402 + 0.00866248i
\(144\) −1.25390 + 8.72105i −0.104491 + 0.726754i
\(145\) −1.89292 2.76831i −0.157198 0.229895i
\(146\) −1.13603 2.91787i −0.0940186 0.241485i
\(147\) −2.52732 + 3.27748i −0.208450 + 0.270322i
\(148\) −5.48343 + 16.8763i −0.450735 + 1.38722i
\(149\) 5.78273 + 9.58957i 0.473739 + 0.785608i 0.997815 0.0660630i \(-0.0210438\pi\)
−0.524076 + 0.851671i \(0.675589\pi\)
\(150\) 0.415074 1.06611i 0.0338907 0.0870475i
\(151\) −14.9929 + 3.48645i −1.22011 + 0.283724i −0.786621 0.617437i \(-0.788171\pi\)
−0.433486 + 0.901160i \(0.642717\pi\)
\(152\) −10.2244 4.32087i −0.829310 0.350469i
\(153\) 11.5374 + 7.41465i 0.932746 + 0.599439i
\(154\) −3.21401 1.45086i −0.258992 0.116914i
\(155\) 3.08603 1.98327i 0.247876 0.159300i
\(156\) −0.136956 + 0.0237012i −0.0109653 + 0.00189762i
\(157\) −0.579890 6.75154i −0.0462803 0.538832i −0.982354 0.187029i \(-0.940114\pi\)
0.936074 0.351803i \(-0.114431\pi\)
\(158\) −0.169641 + 1.97509i −0.0134959 + 0.157130i
\(159\) −12.5126 2.16538i −0.992311 0.171726i
\(160\) 4.38847 1.85458i 0.346939 0.146618i
\(161\) 1.50119 1.09068i 0.118310 0.0859574i
\(162\) −3.38238 + 1.91012i −0.265745 + 0.150073i
\(163\) −0.387503 13.5644i −0.0303516 1.06245i −0.861927 0.507033i \(-0.830742\pi\)
0.831575 0.555412i \(-0.187440\pi\)
\(164\) 11.7828 3.45975i 0.920084 0.270161i
\(165\) 5.54704 6.09712i 0.431836 0.474660i
\(166\) 1.17762 + 0.345782i 0.0914014 + 0.0268379i
\(167\) −1.53493 + 5.83948i −0.118777 + 0.451873i −0.999774 0.0212477i \(-0.993236\pi\)
0.880998 + 0.473121i \(0.156872\pi\)
\(168\) 1.98785 9.81044i 0.153366 0.756892i
\(169\) 6.06622 + 11.4968i 0.466632 + 0.884366i
\(170\) 0.0567496 1.98649i 0.00435249 0.152357i
\(171\) −5.14072 19.5573i −0.393121 1.49559i
\(172\) −14.8238 + 0.847654i −1.13030 + 0.0646330i
\(173\) 0.287685 0.296021i 0.0218723 0.0225061i −0.706107 0.708105i \(-0.749550\pi\)
0.727980 + 0.685599i \(0.240460\pi\)
\(174\) −3.44307 + 1.69285i −0.261019 + 0.128334i
\(175\) 0.959484 2.10098i 0.0725302 0.158819i
\(176\) 9.19363 0.302820i 0.692996 0.0228259i
\(177\) 12.7382 + 27.8928i 0.957464 + 2.09655i
\(178\) −4.39305 3.59218i −0.329273 0.269245i
\(179\) 1.13239 2.14612i 0.0846389 0.160408i −0.838469 0.544949i \(-0.816549\pi\)
0.923108 + 0.384540i \(0.125640\pi\)
\(180\) 4.94616 + 2.79323i 0.368665 + 0.208195i
\(181\) −2.44520 + 0.280560i −0.181750 + 0.0208539i −0.204389 0.978890i \(-0.565521\pi\)
0.0226384 + 0.999744i \(0.492793\pi\)
\(182\) 0.0330371 0.00379066i 0.00244888 0.000280982i
\(183\) −14.4367 8.15279i −1.06719 0.602672i
\(184\) 0.653760 1.23901i 0.0481959 0.0913413i
\(185\) 7.68244 + 6.28190i 0.564824 + 0.461855i
\(186\) −1.74343 3.81758i −0.127835 0.279919i
\(187\) 5.51606 13.2132i 0.403374 0.966242i
\(188\) −4.13440 + 9.05307i −0.301532 + 0.660263i
\(189\) 0.910612 0.447718i 0.0662373 0.0325667i
\(190\) −2.04218 + 2.10135i −0.148155 + 0.152448i
\(191\) −21.2902 + 1.21742i −1.54050 + 0.0880892i −0.806573 0.591135i \(-0.798680\pi\)
−0.733931 + 0.679224i \(0.762316\pi\)
\(192\) 2.11900 + 8.06151i 0.152926 + 0.581789i
\(193\) −0.0215299 + 0.753645i −0.00154976 + 0.0542486i −0.999999 0.00142125i \(-0.999548\pi\)
0.998449 + 0.0556698i \(0.0177294\pi\)
\(194\) −2.40849 4.56459i −0.172919 0.327718i
\(195\) −0.0154368 + 0.0761837i −0.00110545 + 0.00545563i
\(196\) −0.756983 + 2.87986i −0.0540702 + 0.205705i
\(197\) −6.65145 1.95304i −0.473897 0.139149i 0.0360584 0.999350i \(-0.488520\pi\)
−0.509955 + 0.860201i \(0.670338\pi\)
\(198\) −3.08654 3.74122i −0.219351 0.265877i
\(199\) 25.3595 7.44623i 1.79769 0.527849i 0.800269 0.599641i \(-0.204690\pi\)
0.997420 + 0.0717924i \(0.0228719\pi\)
\(200\) −0.0497952 1.74306i −0.00352105 0.123253i
\(201\) −22.5332 + 12.7251i −1.58937 + 0.897558i
\(202\) −0.118364 + 0.0859962i −0.00832804 + 0.00605067i
\(203\) −7.13486 + 3.01522i −0.500769 + 0.211627i
\(204\) 18.9043 + 3.27151i 1.32356 + 0.229052i
\(205\) 0.587711 6.84259i 0.0410475 0.477907i
\(206\) 0.256294 + 2.98397i 0.0178568 + 0.207903i
\(207\) 2.51478 0.435200i 0.174789 0.0302485i
\(208\) −0.0729745 + 0.0468979i −0.00505987 + 0.00325178i
\(209\) −19.1656 + 8.85397i −1.32571 + 0.612442i
\(210\) −2.22296 1.42861i −0.153399 0.0985834i
\(211\) 18.2499 + 7.71247i 1.25638 + 0.530949i 0.912888 0.408209i \(-0.133847\pi\)
0.343487 + 0.939158i \(0.388392\pi\)
\(212\) −8.89874 + 2.06931i −0.611168 + 0.142121i
\(213\) −8.78385 + 22.5611i −0.601859 + 1.54586i
\(214\) 2.85110 + 4.72801i 0.194897 + 0.323200i
\(215\) −2.56601 + 7.89737i −0.175001 + 0.538596i
\(216\) 0.467814 0.606672i 0.0318307 0.0412788i
\(217\) −3.07401 7.89553i −0.208677 0.535984i
\(218\) 5.13694 + 7.51253i 0.347917 + 0.508813i
\(219\) 2.40589 16.7334i 0.162575 1.13074i
\(220\) 1.96852 5.59421i 0.132717 0.377161i
\(221\) 0.0192161 + 0.133651i 0.00129261 + 0.00899032i
\(222\) 8.36456 7.67692i 0.561392 0.515241i
\(223\) 2.77706 + 0.158798i 0.185966 + 0.0106339i 0.149823 0.988713i \(-0.452129\pi\)
0.0361421 + 0.999347i \(0.488493\pi\)
\(224\) −2.18529 10.7848i −0.146011 0.720592i
\(225\) 2.45927 2.01094i 0.163951 0.134062i
\(226\) 6.22608 + 3.06116i 0.414153 + 0.203625i
\(227\) 13.9837 4.98938i 0.928131 0.331157i 0.171639 0.985160i \(-0.445094\pi\)
0.756492 + 0.654003i \(0.226912\pi\)
\(228\) −17.2740 22.4014i −1.14400 1.48357i
\(229\) 3.64095 6.03784i 0.240601 0.398992i −0.712487 0.701685i \(-0.752431\pi\)
0.953088 + 0.302694i \(0.0978859\pi\)
\(230\) −0.242180 0.279491i −0.0159689 0.0184291i
\(231\) −11.2577 15.3535i −0.740702 1.01018i
\(232\) −3.82957 + 4.41956i −0.251424 + 0.290159i
\(233\) 3.57747 + 11.0103i 0.234368 + 0.721309i 0.997205 + 0.0747186i \(0.0238059\pi\)
−0.762837 + 0.646591i \(0.776194\pi\)
\(234\) 0.0430776 + 0.0153701i 0.00281607 + 0.00100477i
\(235\) 3.87912 + 3.99152i 0.253046 + 0.260378i
\(236\) 16.2537 + 14.9175i 1.05803 + 0.971047i
\(237\) −6.04110 + 8.83483i −0.392412 + 0.573884i
\(238\) −4.47079 1.03964i −0.289798 0.0673897i
\(239\) 2.78592 + 2.02409i 0.180206 + 0.130927i 0.674231 0.738520i \(-0.264475\pi\)
−0.494025 + 0.869447i \(0.664475\pi\)
\(240\) 6.84804 + 0.785740i 0.442039 + 0.0507193i
\(241\) 11.7788 0.758740 0.379370 0.925245i \(-0.376141\pi\)
0.379370 + 0.925245i \(0.376141\pi\)
\(242\) −3.28242 + 3.85564i −0.211002 + 0.247850i
\(243\) −22.2901 −1.42991
\(244\) −11.8508 1.35975i −0.758669 0.0870492i
\(245\) 1.34724 + 0.978829i 0.0860722 + 0.0625351i
\(246\) −7.65297 1.77962i −0.487936 0.113465i
\(247\) 0.112375 0.164343i 0.00715025 0.0104569i
\(248\) −4.71279 4.32536i −0.299262 0.274660i
\(249\) 4.61819 + 4.75200i 0.292666 + 0.301146i
\(250\) −0.433558 0.154693i −0.0274206 0.00978366i
\(251\) −0.284965 0.877033i −0.0179869 0.0553578i 0.941660 0.336565i \(-0.109265\pi\)
−0.959647 + 0.281207i \(0.909265\pi\)
\(252\) 8.59175 9.91541i 0.541229 0.624612i
\(253\) −0.906357 2.50562i −0.0569822 0.157527i
\(254\) −4.55478 5.25650i −0.285792 0.329822i
\(255\) 5.54065 9.18814i 0.346969 0.575384i
\(256\) 0.983599 + 1.27555i 0.0614749 + 0.0797221i
\(257\) −12.5480 + 4.47711i −0.782722 + 0.279275i −0.697025 0.717047i \(-0.745493\pi\)
−0.0856969 + 0.996321i \(0.527312\pi\)
\(258\) 8.52532 + 4.19162i 0.530763 + 0.260959i
\(259\) 17.7441 14.5093i 1.10257 0.901565i
\(260\) 0.0111063 + 0.0548116i 0.000688781 + 0.00339927i
\(261\) −10.6363 0.608203i −0.658368 0.0376468i
\(262\) 5.27162 4.83825i 0.325682 0.298908i
\(263\) −1.57065 10.9241i −0.0968507 0.673612i −0.979182 0.202983i \(-0.934936\pi\)
0.882331 0.470628i \(-0.155973\pi\)
\(264\) −12.7417 6.65214i −0.784196 0.409411i
\(265\) −0.727149 + 5.05743i −0.0446684 + 0.310676i
\(266\) 3.82011 + 5.58673i 0.234226 + 0.342544i
\(267\) −11.1156 28.5503i −0.680267 1.74725i
\(268\) −11.3693 + 14.7439i −0.694488 + 0.900629i
\(269\) −1.41441 + 4.35310i −0.0862380 + 0.265413i −0.984871 0.173287i \(-0.944561\pi\)
0.898633 + 0.438701i \(0.144561\pi\)
\(270\) −0.104435 0.173186i −0.00635570 0.0105397i
\(271\) −2.10917 + 5.41736i −0.128123 + 0.329081i −0.981284 0.192567i \(-0.938319\pi\)
0.853161 + 0.521648i \(0.174682\pi\)
\(272\) 11.6624 2.71196i 0.707134 0.164437i
\(273\) 0.165376 + 0.0698885i 0.0100090 + 0.00422985i
\(274\) −2.27330 1.46096i −0.137335 0.0882597i
\(275\) −2.51600 2.16096i −0.151720 0.130311i
\(276\) 3.00345 1.93020i 0.180787 0.116184i
\(277\) 8.05306 1.39364i 0.483861 0.0837355i 0.0766282 0.997060i \(-0.475585\pi\)
0.407233 + 0.913324i \(0.366494\pi\)
\(278\) 0.766415 + 8.92320i 0.0459665 + 0.535178i
\(279\) 0.997255 11.6108i 0.0597041 0.695122i
\(280\) −3.96860 0.686793i −0.237169 0.0410438i
\(281\) 11.0343 4.66313i 0.658251 0.278179i −0.0344477 0.999407i \(-0.510967\pi\)
0.692698 + 0.721227i \(0.256422\pi\)
\(282\) 5.15164 3.74289i 0.306776 0.222886i
\(283\) 22.3717 12.6339i 1.32986 0.751007i 0.347442 0.937701i \(-0.387050\pi\)
0.982418 + 0.186695i \(0.0597776\pi\)
\(284\) 0.497413 + 17.4117i 0.0295160 + 1.03320i
\(285\) −15.1794 + 4.45706i −0.899148 + 0.264014i
\(286\) 0.00793710 0.0470868i 0.000469331 0.00278430i
\(287\) −15.2200 4.46899i −0.898407 0.263796i
\(288\) 3.84758 14.6377i 0.226721 0.862536i
\(289\) 0.325230 1.60507i 0.0191312 0.0944160i
\(290\) 0.720423 + 1.36535i 0.0423047 + 0.0801763i
\(291\) 0.795696 27.8530i 0.0466445 1.63277i
\(292\) −3.09203 11.7633i −0.180947 0.688395i
\(293\) 2.73146 0.156190i 0.159573 0.00912473i 0.0228805 0.999738i \(-0.492716\pi\)
0.136693 + 0.990613i \(0.456353\pi\)
\(294\) 1.32780 1.36627i 0.0774386 0.0796825i
\(295\) 11.0721 5.44380i 0.644645 0.316950i
\(296\) 7.18871 15.7411i 0.417835 0.914931i
\(297\) −0.254734 1.43466i −0.0147812 0.0832474i
\(298\) −2.14141 4.68903i −0.124048 0.271628i
\(299\) 0.0194518 + 0.0159057i 0.00112493 + 0.000919850i
\(300\) 2.07386 3.93040i 0.119734 0.226922i
\(301\) 16.7003 + 9.43108i 0.962588 + 0.543598i
\(302\) 7.03964 0.807723i 0.405086 0.0464792i
\(303\) −0.784753 + 0.0900420i −0.0450829 + 0.00517278i
\(304\) −15.3726 8.68133i −0.881682 0.497908i
\(305\) −3.11318 + 5.90012i −0.178260 + 0.337840i
\(306\) −4.88732 3.99634i −0.279390 0.228456i
\(307\) −6.31812 13.8348i −0.360594 0.789591i −0.999789 0.0205461i \(-0.993460\pi\)
0.639195 0.769045i \(-0.279268\pi\)
\(308\) −11.7607 7.02210i −0.670126 0.400121i
\(309\) −6.71716 + 14.7085i −0.382126 + 0.836739i
\(310\) −1.51540 + 0.745071i −0.0860689 + 0.0423172i
\(311\) 13.3060 13.6916i 0.754515 0.776378i −0.225724 0.974191i \(-0.572475\pi\)
0.980240 + 0.197813i \(0.0633839\pi\)
\(312\) 0.135326 0.00773820i 0.00766130 0.000438089i
\(313\) 6.46394 + 24.5914i 0.365363 + 1.38999i 0.855257 + 0.518204i \(0.173399\pi\)
−0.489893 + 0.871782i \(0.662964\pi\)
\(314\) −0.0890770 + 3.11810i −0.00502690 + 0.175965i
\(315\) −3.42412 6.48943i −0.192927 0.365638i
\(316\) −1.52920 + 7.54691i −0.0860243 + 0.424547i
\(317\) 3.77219 14.3509i 0.211867 0.806026i −0.773244 0.634108i \(-0.781367\pi\)
0.985111 0.171918i \(-0.0549963\pi\)
\(318\) 5.60873 + 1.64687i 0.314522 + 0.0923519i
\(319\) 1.31612 + 11.0445i 0.0736887 + 0.618374i
\(320\) 3.21799 0.944887i 0.179891 0.0528208i
\(321\) 0.851213 + 29.7963i 0.0475101 + 1.66307i
\(322\) −0.743768 + 0.420025i −0.0414486 + 0.0234071i
\(323\) −22.2323 + 16.1527i −1.23704 + 0.898762i
\(324\) −13.8986 + 5.87360i −0.772145 + 0.326311i
\(325\) 0.0308184 + 0.00533334i 0.00170950 + 0.000295841i
\(326\) −0.534555 + 6.22372i −0.0296063 + 0.344700i
\(327\) 4.20478 + 48.9554i 0.232525 + 2.70724i
\(328\) −11.8004 + 2.04215i −0.651570 + 0.112759i
\(329\) 10.8149 6.95030i 0.596243 0.383182i
\(330\) −2.85676 + 2.49731i −0.157259 + 0.137473i
\(331\) −14.6669 9.42586i −0.806167 0.518092i 0.0714561 0.997444i \(-0.477235\pi\)
−0.877623 + 0.479352i \(0.840872\pi\)
\(332\) 4.39143 + 1.85583i 0.241011 + 0.101852i
\(333\) 30.7064 7.14047i 1.68270 0.391295i
\(334\) 1.00839 2.59002i 0.0551764 0.141720i
\(335\) 5.37693 + 8.91664i 0.293773 + 0.487168i
\(336\) 4.91977 15.1415i 0.268395 0.826036i
\(337\) 12.2791 15.9238i 0.668885 0.867426i −0.328130 0.944633i \(-0.606418\pi\)
0.997015 + 0.0772069i \(0.0246002\pi\)
\(338\) −2.17098 5.57611i −0.118086 0.303301i
\(339\) 21.1428 + 30.9203i 1.14832 + 1.67936i
\(340\) 1.09859 7.64089i 0.0595796 0.414386i
\(341\) −12.1173 + 1.09407i −0.656190 + 0.0592475i
\(342\) 1.32476 + 9.21388i 0.0716346 + 0.498229i
\(343\) 14.7453 13.5331i 0.796171 0.730719i
\(344\) 14.4563 + 0.826641i 0.779431 + 0.0445695i
\(345\) −0.396516 1.95688i −0.0213477 0.105355i
\(346\) −0.147100 + 0.120283i −0.00790815 + 0.00646646i
\(347\) −9.25836 4.55203i −0.497015 0.244366i 0.175459 0.984487i \(-0.443859\pi\)
−0.672474 + 0.740121i \(0.734768\pi\)
\(348\) −14.0366 + 5.00826i −0.752443 + 0.268471i
\(349\) −18.2954 23.7259i −0.979331 1.27002i −0.962817 0.270155i \(-0.912925\pi\)
−0.0165137 0.999864i \(-0.505257\pi\)
\(350\) −0.549045 + 0.910489i −0.0293477 + 0.0486677i
\(351\) 0.00899829 + 0.0103846i 0.000480293 + 0.000554288i
\(352\) −15.7490 1.28344i −0.839427 0.0684077i
\(353\) −8.86583 + 10.2317i −0.471881 + 0.544579i −0.940934 0.338591i \(-0.890050\pi\)
0.469053 + 0.883170i \(0.344595\pi\)
\(354\) −4.36192 13.4246i −0.231833 0.713510i
\(355\) 9.17502 + 3.27364i 0.486959 + 0.173747i
\(356\) −15.3625 15.8077i −0.814212 0.837805i
\(357\) −18.2578 16.7568i −0.966303 0.886865i
\(358\) −0.630489 + 0.922061i −0.0333224 + 0.0487324i
\(359\) 4.56832 + 1.06232i 0.241107 + 0.0560669i 0.345308 0.938489i \(-0.387774\pi\)
−0.104202 + 0.994556i \(0.533229\pi\)
\(360\) −4.48160 3.25607i −0.236201 0.171610i
\(361\) 21.3791 + 2.45302i 1.12521 + 0.129106i
\(362\) 1.13298 0.0595482
\(363\) −25.6673 + 9.41155i −1.34719 + 0.493978i
\(364\) 0.129171 0.00677040
\(365\) −6.75780 0.775385i −0.353719 0.0405855i
\(366\) 6.17452 + 4.48605i 0.322747 + 0.234490i
\(367\) 3.98182 + 0.925934i 0.207850 + 0.0483333i 0.329129 0.944285i \(-0.393245\pi\)
−0.121279 + 0.992618i \(0.538700\pi\)
\(368\) 1.25767 1.83929i 0.0655608 0.0958796i
\(369\) −16.0738 14.7524i −0.836766 0.767977i
\(370\) −3.18377 3.27602i −0.165516 0.170312i
\(371\) 11.1150 + 3.96581i 0.577060 + 0.205895i
\(372\) −5.03764 15.5043i −0.261190 0.803859i
\(373\) −7.36111 + 8.49517i −0.381144 + 0.439863i −0.913612 0.406586i \(-0.866719\pi\)
0.532468 + 0.846450i \(0.321264\pi\)
\(374\) −3.21599 + 5.75331i −0.166295 + 0.297497i
\(375\) −1.62753 1.87827i −0.0840454 0.0969936i
\(376\) 5.01202 8.31150i 0.258475 0.428633i
\(377\) −0.0640503 0.0830619i −0.00329876 0.00427791i
\(378\) −0.439942 + 0.156971i −0.0226282 + 0.00807372i
\(379\) −4.60334 2.26331i −0.236458 0.116258i 0.319146 0.947705i \(-0.396604\pi\)
−0.555604 + 0.831447i \(0.687513\pi\)
\(380\) −8.81135 + 7.20501i −0.452013 + 0.369609i
\(381\) −7.45743 36.8039i −0.382056 1.88552i
\(382\) 9.80049 + 0.560412i 0.501437 + 0.0286732i
\(383\) −11.0373 + 10.1299i −0.563979 + 0.517615i −0.906674 0.421831i \(-0.861387\pi\)
0.342695 + 0.939447i \(0.388660\pi\)
\(384\) −3.91627 27.2382i −0.199851 1.39000i
\(385\) −6.04581 + 4.70425i −0.308123 + 0.239751i
\(386\) 0.0493927 0.343534i 0.00251402 0.0174854i
\(387\) 14.8896 + 21.7753i 0.756880 + 1.10690i
\(388\) −7.27337 18.6815i −0.369250 0.948410i
\(389\) −10.8336 + 14.0493i −0.549285 + 0.712325i −0.981931 0.189238i \(-0.939398\pi\)
0.432646 + 0.901564i \(0.357580\pi\)
\(390\) 0.0110573 0.0340309i 0.000559909 0.00172322i
\(391\) −1.79103 2.97008i −0.0905761 0.150204i
\(392\) 1.05355 2.70602i 0.0532122 0.136674i
\(393\) 37.6276 8.74991i 1.89806 0.441375i
\(394\) 2.93942 + 1.24221i 0.148086 + 0.0625815i
\(395\) 3.62278 + 2.32822i 0.182282 + 0.117145i
\(396\) −10.2546 15.8043i −0.515313 0.794197i
\(397\) −22.9968 + 14.7792i −1.15418 + 0.741744i −0.970466 0.241236i \(-0.922447\pi\)
−0.183710 + 0.982980i \(0.558811\pi\)
\(398\) −11.9884 + 2.07467i −0.600922 + 0.103994i
\(399\) 3.12690 + 36.4059i 0.156541 + 1.82257i
\(400\) 0.237341 2.76331i 0.0118671 0.138166i
\(401\) 36.6097 + 6.33556i 1.82820 + 0.316383i 0.977766 0.209699i \(-0.0672483\pi\)
0.850434 + 0.526081i \(0.176339\pi\)
\(402\) 10.9728 4.63714i 0.547274 0.231280i
\(403\) 0.0928217 0.0674389i 0.00462378 0.00335937i
\(404\) −0.494852 + 0.279456i −0.0246198 + 0.0139034i
\(405\) 0.240968 + 8.43500i 0.0119738 + 0.419138i
\(406\) 3.42119 1.00455i 0.169791 0.0498551i
\(407\) −12.9445 30.2613i −0.641636 1.50000i
\(408\) −17.9518 5.27113i −0.888747 0.260960i
\(409\) 3.97117 15.1079i 0.196362 0.747038i −0.793927 0.608013i \(-0.791967\pi\)
0.990289 0.139025i \(-0.0443968\pi\)
\(410\) −0.627832 + 3.09847i −0.0310064 + 0.153023i
\(411\) −6.80846 12.9035i −0.335837 0.636481i
\(412\) −0.332209 + 11.6288i −0.0163668 + 0.572912i
\(413\) −7.24450 27.5610i −0.356479 1.35619i
\(414\) −1.17292 + 0.0670698i −0.0576457 + 0.00329630i
\(415\) 1.85819 1.91203i 0.0912151 0.0938581i
\(416\) 0.133721 0.0657461i 0.00655620 0.00322347i
\(417\) −20.0868 + 43.9840i −0.983656 + 2.15391i
\(418\) 9.22957 3.04349i 0.451433 0.148862i
\(419\) −5.74021 12.5693i −0.280427 0.614051i 0.716037 0.698062i \(-0.245954\pi\)
−0.996465 + 0.0840115i \(0.973227\pi\)
\(420\) −7.94599 6.49740i −0.387725 0.317041i
\(421\) −1.20892 + 2.29116i −0.0589192 + 0.111664i −0.912128 0.409904i \(-0.865562\pi\)
0.853209 + 0.521569i \(0.174653\pi\)
\(422\) −7.94150 4.48477i −0.386586 0.218315i
\(423\) 17.5665 2.01557i 0.854112 0.0980002i
\(424\) 8.85162 1.01563i 0.429873 0.0493233i
\(425\) −3.75913 2.12288i −0.182345 0.102975i
\(426\) 5.20097 9.85693i 0.251988 0.477570i
\(427\) 11.9281 + 9.75358i 0.577243 + 0.472009i
\(428\) 8.90907 + 19.5082i 0.430636 + 0.942962i
\(429\) 0.162322 0.200290i 0.00783700 0.00967010i
\(430\) 1.58791 3.47705i 0.0765760 0.167678i
\(431\) −22.6370 + 11.1299i −1.09039 + 0.536106i −0.895654 0.444751i \(-0.853292\pi\)
−0.194731 + 0.980857i \(0.562383\pi\)
\(432\) 0.849205 0.873811i 0.0408574 0.0420412i
\(433\) −5.76801 + 0.329827i −0.277193 + 0.0158505i −0.195132 0.980777i \(-0.562514\pi\)
−0.0820604 + 0.996627i \(0.526150\pi\)
\(434\) 0.991526 + 3.77216i 0.0475948 + 0.181069i
\(435\) −0.238008 + 8.33135i −0.0114116 + 0.399458i
\(436\) 16.4973 + 31.2660i 0.790080 + 1.49737i
\(437\) −1.01557 + 5.01205i −0.0485815 + 0.239759i
\(438\) −1.97834 + 7.52640i −0.0945289 + 0.359625i
\(439\) −6.43039 1.88813i −0.306906 0.0901157i 0.124653 0.992200i \(-0.460218\pi\)
−0.431559 + 0.902085i \(0.642036\pi\)
\(440\) −2.52909 + 5.20114i −0.120570 + 0.247954i
\(441\) 5.07594 1.49043i 0.241711 0.0709728i
\(442\) −0.00177493 0.0621306i −8.44248e−5 0.00295525i
\(443\) 31.8437 17.9829i 1.51294 0.854395i 0.512946 0.858421i \(-0.328554\pi\)
0.999992 + 0.00402563i \(0.00128140\pi\)
\(444\) 35.6787 25.9221i 1.69323 1.23021i
\(445\) −11.3552 + 4.79876i −0.538289 + 0.227483i
\(446\) −1.26170 0.218345i −0.0597430 0.0103389i
\(447\) 2.38164 27.7289i 0.112648 1.31153i
\(448\) −0.662896 7.71796i −0.0313189 0.364639i
\(449\) −1.08496 + 0.187760i −0.0512024 + 0.00886093i −0.196066 0.980591i \(-0.562817\pi\)
0.144863 + 0.989452i \(0.453726\pi\)
\(450\) −1.23022 + 0.790612i −0.0579929 + 0.0372698i
\(451\) −12.2309 + 19.2155i −0.575929 + 0.904824i
\(452\) 22.6714 + 14.5700i 1.06637 + 0.685317i
\(453\) 35.2388 + 14.8920i 1.65566 + 0.699688i
\(454\) −6.65696 + 1.54801i −0.312426 + 0.0726517i
\(455\) 0.0262090 0.0673173i 0.00122870 0.00315588i
\(456\) 14.2458 + 23.6239i 0.667119 + 1.10629i
\(457\) −5.37360 + 16.5383i −0.251367 + 0.773627i 0.743157 + 0.669117i \(0.233327\pi\)
−0.994524 + 0.104510i \(0.966673\pi\)
\(458\) −1.98194 + 2.57022i −0.0926099 + 0.120099i
\(459\) −0.688121 1.76743i −0.0321188 0.0824964i
\(460\) −0.810836 1.18581i −0.0378054 0.0552887i
\(461\) −2.12512 + 14.7806i −0.0989769 + 0.688399i 0.878560 + 0.477633i \(0.158505\pi\)
−0.977536 + 0.210767i \(0.932404\pi\)
\(462\) 4.34281 + 7.61231i 0.202046 + 0.354157i
\(463\) −3.88242 27.0028i −0.180431 1.25493i −0.855745 0.517397i \(-0.826901\pi\)
0.675314 0.737530i \(-0.264008\pi\)
\(464\) −6.85256 + 6.28922i −0.318122 + 0.291970i
\(465\) −9.10217 0.520481i −0.422103 0.0241367i
\(466\) −1.05833 5.22305i −0.0490261 0.241953i
\(467\) −26.3296 + 21.5296i −1.21839 + 0.996270i −0.218596 + 0.975815i \(0.570148\pi\)
−0.999791 + 0.0204547i \(0.993489\pi\)
\(468\) 0.159434 + 0.0783884i 0.00736984 + 0.00362350i
\(469\) 22.6509 8.08182i 1.04592 0.373184i
\(470\) −1.56458 2.02899i −0.0721688 0.0935901i
\(471\) −8.69689 + 14.4222i −0.400731 + 0.664538i
\(472\) −14.0891 16.2597i −0.648505 0.748415i
\(473\) 19.6662 19.2801i 0.904253 0.886500i
\(474\) 3.22636 3.72342i 0.148192 0.171022i
\(475\) 1.96704 + 6.05393i 0.0902540 + 0.277773i
\(476\) −16.7928 5.99164i −0.769695 0.274627i
\(477\) 11.3124 + 11.6401i 0.517957 + 0.532965i
\(478\) −1.16787 1.07186i −0.0534171 0.0490257i
\(479\) −14.0842 + 20.5975i −0.643525 + 0.941125i 0.356452 + 0.934314i \(0.383986\pi\)
−0.999977 + 0.00681166i \(0.997832\pi\)
\(480\) −11.5329 2.68187i −0.526405 0.122410i
\(481\) 0.251105 + 0.182438i 0.0114494 + 0.00831847i
\(482\) −5.38679 0.618076i −0.245361 0.0281526i
\(483\) −4.61167 −0.209838
\(484\) −14.3743 + 13.4258i −0.653378 + 0.610262i
\(485\) −11.2116 −0.509093
\(486\) 10.1939 + 1.16964i 0.462405 + 0.0530561i
\(487\) 20.6102 + 14.9742i 0.933938 + 0.678546i 0.946954 0.321369i \(-0.104143\pi\)
−0.0130156 + 0.999915i \(0.504143\pi\)
\(488\) 11.3305 + 2.63480i 0.512909 + 0.119272i
\(489\) −19.0361 + 27.8394i −0.860843 + 1.25894i
\(490\) −0.564770 0.518341i −0.0255137 0.0234163i
\(491\) 19.1323 + 19.6867i 0.863428 + 0.888446i 0.994692 0.102901i \(-0.0328126\pi\)
−0.131264 + 0.991347i \(0.541903\pi\)
\(492\) −28.7453 10.2563i −1.29594 0.462391i
\(493\) 4.47394 + 13.7694i 0.201496 + 0.620142i
\(494\) −0.0600160 + 0.0692621i −0.00270025 + 0.00311625i
\(495\) −10.3171 + 2.13745i −0.463718 + 0.0960711i
\(496\) −6.66267 7.68913i −0.299163 0.345252i
\(497\) 11.6190 19.2679i 0.521182 0.864283i
\(498\) −1.86267 2.41556i −0.0834684 0.108244i
\(499\) −15.2703 + 5.44841i −0.683590 + 0.243905i −0.654935 0.755685i \(-0.727304\pi\)
−0.0286549 + 0.999589i \(0.509122\pi\)
\(500\) −1.60464 0.788946i −0.0717615 0.0352827i
\(501\) 11.6167 9.49894i 0.518996 0.424381i
\(502\) 0.0843017 + 0.416045i 0.00376257 + 0.0185690i
\(503\) 16.5000 + 0.943503i 0.735698 + 0.0420687i 0.420921 0.907097i \(-0.361707\pi\)
0.314776 + 0.949166i \(0.398070\pi\)
\(504\) −9.42640 + 8.65147i −0.419885 + 0.385367i
\(505\) 0.0452317 + 0.314593i 0.00201278 + 0.0139992i
\(506\) 0.283024 + 1.19345i 0.0125819 + 0.0530555i
\(507\) 4.59771 31.9778i 0.204191 1.42018i
\(508\) −15.2497 22.3020i −0.676597 0.989491i
\(509\) 9.76429 + 25.0794i 0.432794 + 1.11162i 0.964357 + 0.264604i \(0.0852414\pi\)
−0.531563 + 0.847019i \(0.678395\pi\)
\(510\) −3.01603 + 3.91126i −0.133552 + 0.173194i
\(511\) −4.85494 + 14.9420i −0.214770 + 0.660993i
\(512\) −11.8184 19.5986i −0.522305 0.866145i
\(513\) −1.01461 + 2.60601i −0.0447962 + 0.115058i
\(514\) 5.97348 1.38907i 0.263479 0.0612694i
\(515\) 5.99295 + 2.53264i 0.264081 + 0.111601i
\(516\) 31.0438 + 19.9506i 1.36663 + 0.878278i
\(517\) −5.27811 17.6895i −0.232131 0.777984i
\(518\) −8.87626 + 5.70442i −0.390000 + 0.250638i
\(519\) −1.01087 + 0.174939i −0.0443724 + 0.00767895i
\(520\) −0.00466718 0.0543390i −0.000204670 0.00238292i
\(521\) −1.49290 + 17.3815i −0.0654051 + 0.761498i 0.888008 + 0.459829i \(0.152089\pi\)
−0.953413 + 0.301669i \(0.902456\pi\)
\(522\) 4.83235 + 0.836271i 0.211506 + 0.0366026i
\(523\) 0.0640098 0.0270508i 0.00279895 0.00118285i −0.387870 0.921714i \(-0.626789\pi\)
0.390669 + 0.920531i \(0.372244\pi\)
\(524\) 22.4859 16.3369i 0.982300 0.713683i
\(525\) −4.99836 + 2.82271i −0.218147 + 0.123193i
\(526\) 0.145077 + 5.07834i 0.00632564 + 0.221426i
\(527\) −15.1954 + 4.46176i −0.661920 + 0.194357i
\(528\) −18.9276 12.8214i −0.823719 0.557982i
\(529\) 21.4491 + 6.29801i 0.932568 + 0.273827i
\(530\) 0.597927 2.27475i 0.0259723 0.0988089i
\(531\) 7.78378 38.4145i 0.337787 1.66705i
\(532\) 12.2683 + 23.2511i 0.531899 + 1.00806i
\(533\) 0.00613385 0.214713i 0.000265687 0.00930024i
\(534\) 3.58537 + 13.6402i 0.155154 + 0.590267i
\(535\) 11.9743 0.684716i 0.517694 0.0296028i
\(536\) 12.6542 13.0208i 0.546577 0.562415i
\(537\) −5.41196 + 2.66088i −0.233544 + 0.114826i
\(538\) 0.875272 1.91658i 0.0377357 0.0826296i
\(539\) −2.45854 4.94575i −0.105897 0.213029i
\(540\) −0.326337 0.714578i −0.0140433 0.0307505i
\(541\) −10.5137 8.59699i −0.452018 0.369613i 0.379426 0.925222i \(-0.376122\pi\)
−0.831444 + 0.555609i \(0.812485\pi\)
\(542\) 1.24885 2.36684i 0.0536427 0.101664i
\(543\) 5.32631 + 3.00791i 0.228574 + 0.129082i
\(544\) −20.4339 + 2.34457i −0.876096 + 0.100523i
\(545\) 19.6415 2.25366i 0.841351 0.0965360i
\(546\) −0.0719639 0.0406399i −0.00307977 0.00173923i
\(547\) −14.7817 + 28.0144i −0.632019 + 1.19781i 0.334786 + 0.942294i \(0.391336\pi\)
−0.966805 + 0.255515i \(0.917755\pi\)
\(548\) −8.12591 6.64453i −0.347122 0.283840i
\(549\) 8.80368 + 19.2774i 0.375732 + 0.822738i
\(550\) 1.03724 + 1.12029i 0.0442282 + 0.0477695i
\(551\) 8.86799 19.4182i 0.377789 0.827243i
\(552\) −3.12448 + 1.53620i −0.132987 + 0.0653851i
\(553\) 6.93210 7.13296i 0.294783 0.303324i
\(554\) −3.75602 + 0.214777i −0.159578 + 0.00912500i
\(555\) −6.26999 23.8535i −0.266146 1.01252i
\(556\) −0.993431 + 34.7746i −0.0421309 + 1.47477i
\(557\) −9.90787 18.7775i −0.419810 0.795628i 0.580010 0.814609i \(-0.303049\pi\)
−0.999820 + 0.0189813i \(0.993958\pi\)
\(558\) −1.06533 + 5.25763i −0.0450992 + 0.222573i
\(559\) −0.0660240 + 0.251181i −0.00279252 + 0.0106238i
\(560\) −6.14644 1.80476i −0.259734 0.0762649i
\(561\) −30.3931 + 18.5091i −1.28320 + 0.781457i
\(562\) −5.29099 + 1.55357i −0.223187 + 0.0655336i
\(563\) 0.887923 + 31.0814i 0.0374215 + 1.30992i 0.773833 + 0.633389i \(0.218337\pi\)
−0.736412 + 0.676534i \(0.763481\pi\)
\(564\) 21.5379 12.1630i 0.906907 0.512154i
\(565\) 12.1932 8.85890i 0.512973 0.372697i
\(566\) −10.8942 + 4.60391i −0.457916 + 0.193517i
\(567\) 19.2048 + 3.32352i 0.806526 + 0.139575i
\(568\) 1.45366 16.9247i 0.0609944 0.710145i
\(569\) 2.55478 + 29.7448i 0.107102 + 1.24697i 0.830690 + 0.556735i \(0.187946\pi\)
−0.723588 + 0.690232i \(0.757508\pi\)
\(570\) 7.17584 1.24183i 0.300563 0.0520144i
\(571\) −4.15871 + 2.67264i −0.174037 + 0.111846i −0.624759 0.780818i \(-0.714803\pi\)
0.450722 + 0.892664i \(0.351166\pi\)
\(572\) 0.0514793 0.178197i 0.00215246 0.00745078i
\(573\) 44.5857 + 28.6535i 1.86260 + 1.19702i
\(574\) 6.72603 + 2.84244i 0.280739 + 0.118641i
\(575\) −0.782503 + 0.181963i −0.0326326 + 0.00758839i
\(576\) 3.86550 9.92845i 0.161062 0.413685i
\(577\) −6.96900 11.5568i −0.290123 0.481116i 0.676805 0.736162i \(-0.263364\pi\)
−0.966929 + 0.255046i \(0.917909\pi\)
\(578\) −0.232961 + 0.716979i −0.00968989 + 0.0298224i
\(579\) 1.14424 1.48387i 0.0475528 0.0616676i
\(580\) 2.17560 + 5.58799i 0.0903370 + 0.232029i
\(581\) −3.47594 5.08341i −0.144206 0.210895i
\(582\) −1.82544 + 12.6962i −0.0756669 + 0.526275i
\(583\) 9.90071 13.7530i 0.410046 0.569593i
\(584\) 1.68805 + 11.7406i 0.0698520 + 0.485831i
\(585\) 0.0732014 0.0671836i 0.00302650 0.00277770i
\(586\) −1.25737 0.0718989i −0.0519414 0.00297012i
\(587\) 7.07210 + 34.9022i 0.291897 + 1.44057i 0.810593 + 0.585610i \(0.199145\pi\)
−0.518696 + 0.854959i \(0.673582\pi\)
\(588\) 5.72902 4.68460i 0.236261 0.193190i
\(589\) 20.9551 + 10.3029i 0.863440 + 0.424525i
\(590\) −5.34926 + 1.90861i −0.220226 + 0.0785763i
\(591\) 10.5207 + 13.6435i 0.432766 + 0.561220i
\(592\) 14.2131 23.5698i 0.584155 0.968712i
\(593\) 16.6275 + 19.1892i 0.682811 + 0.788006i 0.986323 0.164822i \(-0.0527049\pi\)
−0.303513 + 0.952827i \(0.598159\pi\)
\(594\) 0.0412155 + 0.669477i 0.00169109 + 0.0274690i
\(595\) −6.52981 + 7.53580i −0.267696 + 0.308938i
\(596\) −6.18760 19.0435i −0.253454 0.780051i
\(597\) −61.8670 22.0741i −2.53205 0.903433i
\(598\) −0.00806125 0.00829483i −0.000329649 0.000339201i
\(599\) 1.96068 + 1.79950i 0.0801113 + 0.0735255i 0.715230 0.698889i \(-0.246322\pi\)
−0.635119 + 0.772414i \(0.719049\pi\)
\(600\) −2.44619 + 3.57744i −0.0998654 + 0.146048i
\(601\) 18.8408 + 4.38125i 0.768534 + 0.178715i 0.592392 0.805650i \(-0.298184\pi\)
0.176142 + 0.984365i \(0.443638\pi\)
\(602\) −7.14263 5.18942i −0.291112 0.211505i
\(603\) 32.8622 + 3.77058i 1.33825 + 0.153550i
\(604\) 27.5241 1.11994
\(605\) 4.08024 + 10.2153i 0.165885 + 0.415310i
\(606\) 0.363615 0.0147708
\(607\) 6.46147 + 0.741384i 0.262263 + 0.0300919i 0.244126 0.969744i \(-0.421499\pi\)
0.0181374 + 0.999836i \(0.494226\pi\)
\(608\) 24.5349 + 17.8256i 0.995021 + 0.722925i
\(609\) 18.7505 + 4.36024i 0.759808 + 0.176686i
\(610\) 1.73334 2.53494i 0.0701811 0.102637i
\(611\) 0.128254 + 0.117711i 0.00518862 + 0.00476207i
\(612\) −17.0910 17.5862i −0.690862 0.710880i
\(613\) 26.9266 + 9.60740i 1.08756 + 0.388039i 0.818160 0.574990i \(-0.194994\pi\)
0.269396 + 0.963029i \(0.413176\pi\)
\(614\) 2.16350 + 6.65856i 0.0873116 + 0.268718i
\(615\) −11.1775 + 12.8996i −0.450722 + 0.520161i
\(616\) 10.6137 + 8.11077i 0.427640 + 0.326792i
\(617\) −24.7789 28.5963i −0.997559 1.15124i −0.988490 0.151286i \(-0.951659\pi\)
−0.00906935 0.999959i \(-0.502887\pi\)
\(618\) 3.84376 6.37415i 0.154619 0.256406i
\(619\) 14.0900 + 18.2723i 0.566327 + 0.734425i 0.984779 0.173813i \(-0.0556090\pi\)
−0.418452 + 0.908239i \(0.637427\pi\)
\(620\) −6.17794 + 2.20428i −0.248112 + 0.0885262i
\(621\) −0.316738 0.155729i −0.0127102 0.00624921i
\(622\) −6.80367 + 5.56333i −0.272802 + 0.223069i
\(623\) 5.65447 + 27.9059i 0.226541 + 1.11803i
\(624\) 0.215237 + 0.0123077i 0.00861636 + 0.000492701i
\(625\) −0.736741 + 0.676175i −0.0294696 + 0.0270470i
\(626\) −1.66575 11.5855i −0.0665766 0.463051i
\(627\) 51.4696 + 10.1953i 2.05550 + 0.407163i
\(628\) −1.72441 + 11.9935i −0.0688114 + 0.478594i
\(629\) −24.1822 35.3653i −0.964206 1.41011i
\(630\) 1.22542 + 3.14748i 0.0488221 + 0.125398i
\(631\) −13.8638 + 17.9790i −0.551911 + 0.715731i −0.982384 0.186872i \(-0.940165\pi\)
0.430473 + 0.902603i \(0.358347\pi\)
\(632\) 2.32053 7.14185i 0.0923057 0.284088i
\(633\) −25.4277 42.1671i −1.01066 1.67599i
\(634\) −2.47817 + 6.36513i −0.0984207 + 0.252791i
\(635\) −14.7168 + 3.42225i −0.584020 + 0.135808i
\(636\) 20.9153 + 8.83886i 0.829344 + 0.350484i
\(637\) 0.0438161 + 0.0281589i 0.00173606 + 0.00111570i
\(638\) −0.0223552 5.12003i −0.000885051 0.202704i
\(639\) 26.0340 16.7310i 1.02989 0.661869i
\(640\) −10.9102 + 1.88809i −0.431264 + 0.0746332i
\(641\) −0.207259 2.41307i −0.00818623 0.0953106i 0.991098 0.133132i \(-0.0425035\pi\)
−0.999285 + 0.0378218i \(0.987958\pi\)
\(642\) 1.17424 13.6714i 0.0463434 0.539566i
\(643\) −9.12474 1.57910i −0.359845 0.0622736i −0.0122670 0.999925i \(-0.503905\pi\)
−0.347578 + 0.937651i \(0.612996\pi\)
\(644\) −3.05623 + 1.29157i −0.120432 + 0.0508952i
\(645\) 16.6961 12.1304i 0.657408 0.477635i
\(646\) 11.0151 6.22049i 0.433382 0.244742i
\(647\) −0.750076 26.2561i −0.0294885 1.03223i −0.870786 0.491661i \(-0.836390\pi\)
0.841298 0.540572i \(-0.181792\pi\)
\(648\) 14.1187 4.14561i 0.554633 0.162855i
\(649\) −40.9087 0.989927i −1.60581 0.0388580i
\(650\) −0.0138143 0.00405624i −0.000541841 0.000159099i
\(651\) −5.35324 + 20.3658i −0.209810 + 0.798200i
\(652\) −4.81867 + 23.7811i −0.188714 + 0.931338i
\(653\) 20.1256 + 38.1422i 0.787575 + 1.49262i 0.868385 + 0.495891i \(0.165159\pi\)
−0.0808094 + 0.996730i \(0.525751\pi\)
\(654\) 0.645896 22.6093i 0.0252566 0.884095i
\(655\) −3.95155 15.0333i −0.154400 0.587398i
\(656\) −19.0166 + 1.08741i −0.742475 + 0.0424562i
\(657\) −15.0600 + 15.4964i −0.587547 + 0.604572i
\(658\) −5.31066 + 2.61107i −0.207031 + 0.101790i
\(659\) 11.9308 26.1249i 0.464759 1.01768i −0.521618 0.853179i \(-0.674671\pi\)
0.986377 0.164501i \(-0.0526013\pi\)
\(660\) −12.1302 + 8.37237i −0.472167 + 0.325894i
\(661\) −4.71550 10.3255i −0.183412 0.401615i 0.795485 0.605974i \(-0.207216\pi\)
−0.978896 + 0.204359i \(0.934489\pi\)
\(662\) 6.21299 + 5.08034i 0.241475 + 0.197453i
\(663\) 0.156604 0.296797i 0.00608199 0.0115267i
\(664\) −4.04835 2.28621i −0.157106 0.0887220i
\(665\) 14.6065 1.67594i 0.566416 0.0649902i
\(666\) −14.4176 + 1.65427i −0.558671 + 0.0641015i
\(667\) 2.34598 + 1.32484i 0.0908369 + 0.0512980i
\(668\) 5.03826 9.54856i 0.194936 0.369445i
\(669\) −5.35174 4.37610i −0.206910 0.169190i
\(670\) −1.99114 4.35998i −0.0769243 0.168441i
\(671\) 18.2093 12.5682i 0.702961 0.485190i
\(672\) −11.3609 + 24.8770i −0.438257 + 0.959650i
\(673\) 20.2154 9.93925i 0.779247 0.383130i −0.00784200 0.999969i \(-0.502496\pi\)
0.787089 + 0.616839i \(0.211587\pi\)
\(674\) −6.45116 + 6.63809i −0.248489 + 0.255690i
\(675\) −0.438615 + 0.0250809i −0.0168823 + 0.000965365i
\(676\) −5.90893 22.4799i −0.227266 0.864611i
\(677\) −0.961661 + 33.6625i −0.0369596 + 1.29376i 0.743579 + 0.668648i \(0.233127\pi\)
−0.780538 + 0.625108i \(0.785055\pi\)
\(678\) −8.04669 15.2502i −0.309031 0.585680i
\(679\) −5.14259 + 25.3797i −0.197355 + 0.973984i
\(680\) −1.91378 + 7.28078i −0.0733902 + 0.279205i
\(681\) −35.4051 10.3959i −1.35673 0.398371i
\(682\) 5.59900 + 0.135487i 0.214397 + 0.00518808i
\(683\) −28.9796 + 8.50919i −1.10888 + 0.325595i −0.784373 0.620290i \(-0.787015\pi\)
−0.324502 + 0.945885i \(0.605197\pi\)
\(684\) 1.03254 + 36.1436i 0.0394801 + 1.38198i
\(685\) −5.11155 + 2.88662i −0.195302 + 0.110292i
\(686\) −7.45357 + 5.41534i −0.284579 + 0.206759i
\(687\) −16.1410 + 6.82123i −0.615816 + 0.260246i
\(688\) 22.6931 + 3.92720i 0.865168 + 0.149723i
\(689\) −0.0136754 + 0.159219i −0.000520990 + 0.00606577i
\(690\) 0.0786535 + 0.915746i 0.00299429 + 0.0348618i
\(691\) −11.8731 + 2.05472i −0.451673 + 0.0781651i −0.391820 0.920042i \(-0.628154\pi\)
−0.0598536 + 0.998207i \(0.519063\pi\)
\(692\) −0.620929 + 0.399047i −0.0236042 + 0.0151695i
\(693\) 0.106253 + 24.3351i 0.00403621 + 0.924415i
\(694\) 3.99525 + 2.56759i 0.151658 + 0.0974645i
\(695\) 17.9212 + 7.57355i 0.679789 + 0.287281i
\(696\) 14.1562 3.29188i 0.536589 0.124778i
\(697\) −10.7569 + 27.6290i −0.407449 + 1.04652i
\(698\) 7.12203 + 11.8106i 0.269573 + 0.447036i
\(699\) 8.89112 27.3640i 0.336293 1.03500i
\(700\) −2.52196 + 3.27053i −0.0953210 + 0.123614i
\(701\) −19.0714 48.9845i −0.720317 1.85012i −0.472570 0.881293i \(-0.656674\pi\)
−0.247747 0.968825i \(-0.579690\pi\)
\(702\) −0.00357026 0.00522134i −0.000134751 0.000197067i
\(703\) −8.99001 + 62.5269i −0.339065 + 2.35825i
\(704\) −10.9114 2.16139i −0.411240 0.0814604i
\(705\) −1.96866 13.6923i −0.0741439 0.515682i
\(706\) 4.59149 4.21403i 0.172803 0.158597i
\(707\) 0.732890 + 0.0419082i 0.0275632 + 0.00157612i
\(708\) −10.8887 53.7379i −0.409223 2.01959i
\(709\) −29.2052 + 23.8810i −1.09683 + 0.896869i −0.995191 0.0979525i \(-0.968771\pi\)
−0.101634 + 0.994822i \(0.532407\pi\)
\(710\) −4.02422 1.97857i −0.151026 0.0742546i
\(711\) 12.8849 4.59731i 0.483221 0.172413i
\(712\) 13.1268 + 17.0231i 0.491947 + 0.637968i
\(713\) −1.52188 + 2.52375i −0.0569947 + 0.0945151i
\(714\) 7.47050 + 8.62142i 0.279577 + 0.322649i
\(715\) −0.0824218 0.0629848i −0.00308240 0.00235550i
\(716\) −2.84138 + 3.27912i −0.106187 + 0.122547i
\(717\) −2.64468 8.13950i −0.0987675 0.303975i
\(718\) −2.03348 0.725543i −0.0758887 0.0270770i
\(719\) −7.25202 7.46215i −0.270455 0.278291i 0.568276 0.822838i \(-0.307611\pi\)
−0.838730 + 0.544547i \(0.816702\pi\)
\(720\) −6.49123 5.95759i −0.241914 0.222026i
\(721\) 8.48200 12.4045i 0.315886 0.461969i
\(722\) −9.64853 2.24367i −0.359081 0.0835008i
\(723\) −23.6832 17.2068i −0.880787 0.639929i
\(724\) 4.37225 + 0.501669i 0.162494 + 0.0186444i
\(725\) 3.35361 0.124550
\(726\) 12.2323 2.95732i 0.453982 0.109756i
\(727\) −44.2102 −1.63967 −0.819834 0.572602i \(-0.805934\pi\)
−0.819834 + 0.572602i \(0.805934\pi\)
\(728\) −0.125148 0.0143594i −0.00463829 0.000532194i
\(729\) 24.3373 + 17.6821i 0.901383 + 0.654893i
\(730\) 3.04985 + 0.709212i 0.112880 + 0.0262491i
\(731\) 20.2345 29.5920i 0.748400 1.09450i
\(732\) 21.8415 + 20.0460i 0.807286 + 0.740921i
\(733\) −3.80099 3.91113i −0.140393 0.144461i 0.643289 0.765624i \(-0.277570\pi\)
−0.783681 + 0.621163i \(0.786660\pi\)
\(734\) −1.77241 0.632396i −0.0654210 0.0233422i
\(735\) −1.27894 3.93618i −0.0471746 0.145188i
\(736\) −2.50649 + 2.89264i −0.0923905 + 0.106624i
\(737\) −2.12202 34.4687i −0.0781657 1.26967i
\(738\) 6.57688 + 7.59012i 0.242098 + 0.279396i
\(739\) 6.93242 11.4961i 0.255013 0.422892i −0.702327 0.711854i \(-0.747856\pi\)
0.957340 + 0.288962i \(0.0933102\pi\)
\(740\) −10.8358 14.0521i −0.398332 0.516566i
\(741\) −0.466025 + 0.166277i −0.0171199 + 0.00610836i
\(742\) −4.87509 2.39692i −0.178970 0.0879937i
\(743\) −23.8175 + 19.4754i −0.873778 + 0.714485i −0.959462 0.281838i \(-0.909056\pi\)
0.0856843 + 0.996322i \(0.472692\pi\)
\(744\) 3.15720 + 15.5814i 0.115749 + 0.571241i
\(745\) −11.1799 0.639292i −0.409601 0.0234219i
\(746\) 3.81222 3.49882i 0.139575 0.128101i
\(747\) −1.20540 8.38377i −0.0441035 0.306746i
\(748\) −14.9582 + 20.7784i −0.546927 + 0.759734i
\(749\) 3.94244 27.4203i 0.144054 1.00191i
\(750\) 0.645757 + 0.944390i 0.0235797 + 0.0344843i
\(751\) −4.24598 10.9057i −0.154938 0.397955i 0.832904 0.553418i \(-0.186677\pi\)
−0.987842 + 0.155463i \(0.950313\pi\)
\(752\) 9.42662 12.2247i 0.343753 0.445787i
\(753\) −0.708228 + 2.17970i −0.0258092 + 0.0794327i
\(754\) 0.0249335 + 0.0413475i 0.000908024 + 0.00150579i
\(755\) 5.58468 14.3441i 0.203247 0.522037i
\(756\) −1.76727 + 0.410962i −0.0642751 + 0.0149465i
\(757\) −6.47768 2.73749i −0.235435 0.0994958i 0.268361 0.963319i \(-0.413518\pi\)
−0.503796 + 0.863823i \(0.668064\pi\)
\(758\) 1.98647 + 1.27663i 0.0721520 + 0.0463693i
\(759\) −1.83791 + 6.36199i −0.0667121 + 0.230926i
\(760\) 9.33786 6.00108i 0.338720 0.217682i
\(761\) 21.3084 3.68756i 0.772429 0.133674i 0.229337 0.973347i \(-0.426344\pi\)
0.543092 + 0.839673i \(0.317253\pi\)
\(762\) 1.47927 + 17.2228i 0.0535882 + 0.623916i
\(763\) 3.90767 45.4962i 0.141467 1.64707i
\(764\) 37.5726 + 6.50220i 1.35933 + 0.235241i
\(765\) −12.6328 + 5.33867i −0.456740 + 0.193020i
\(766\) 5.57922 4.05354i 0.201585 0.146460i
\(767\) 0.336013 0.189755i 0.0121327 0.00685167i
\(768\) −0.114316 4.00157i −0.00412502 0.144394i
\(769\) 3.05701 0.897621i 0.110239 0.0323690i −0.226148 0.974093i \(-0.572613\pi\)
0.336387 + 0.941724i \(0.390795\pi\)
\(770\) 3.01177 1.83414i 0.108537 0.0660980i
\(771\) 31.7700 + 9.32852i 1.14417 + 0.335959i
\(772\) 0.342722 1.30385i <