Properties

Label 280.2.bj.e.171.8
Level $280$
Weight $2$
Character 280.171
Analytic conductor $2.236$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.bj (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 171.8
Character \(\chi\) \(=\) 280.171
Dual form 280.2.bj.e.131.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.617571 - 1.27224i) q^{2} +(0.725648 + 0.418953i) q^{3} +(-1.23721 - 1.57140i) q^{4} +(0.500000 + 0.866025i) q^{5} +(0.981150 - 0.664468i) q^{6} +(2.36913 + 1.17781i) q^{7} +(-2.76328 + 0.603581i) q^{8} +(-1.14896 - 1.99005i) q^{9} +O(q^{10})\) \(q+(0.617571 - 1.27224i) q^{2} +(0.725648 + 0.418953i) q^{3} +(-1.23721 - 1.57140i) q^{4} +(0.500000 + 0.866025i) q^{5} +(0.981150 - 0.664468i) q^{6} +(2.36913 + 1.17781i) q^{7} +(-2.76328 + 0.603581i) q^{8} +(-1.14896 - 1.99005i) q^{9} +(1.41058 - 0.101290i) q^{10} +(2.98938 - 5.17776i) q^{11} +(-0.239435 - 1.65862i) q^{12} +2.87544 q^{13} +(2.96157 - 2.28672i) q^{14} +0.837906i q^{15} +(-0.938618 + 3.88832i) q^{16} +(2.07668 + 1.19897i) q^{17} +(-3.24139 + 0.232755i) q^{18} +(-4.05564 + 2.34152i) q^{19} +(0.742270 - 1.85716i) q^{20} +(1.22570 + 1.84723i) q^{21} +(-4.74122 - 7.00086i) q^{22} +(-5.81623 + 3.35800i) q^{23} +(-2.25804 - 0.719696i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(1.77579 - 3.65827i) q^{26} -4.43915i q^{27} +(-1.08029 - 5.18006i) q^{28} +1.31035i q^{29} +(1.06602 + 0.517467i) q^{30} +(-4.34775 + 7.53053i) q^{31} +(4.36722 + 3.59546i) q^{32} +(4.33848 - 2.50482i) q^{33} +(2.80789 - 1.90160i) q^{34} +(0.164546 + 2.64063i) q^{35} +(-1.70567 + 4.26759i) q^{36} +(3.26889 - 1.88729i) q^{37} +(0.474344 + 6.60582i) q^{38} +(2.08656 + 1.20468i) q^{39} +(-1.90435 - 2.09128i) q^{40} +1.79404i q^{41} +(3.10709 - 0.418596i) q^{42} -6.73760 q^{43} +(-11.8348 + 1.70846i) q^{44} +(1.14896 - 1.99005i) q^{45} +(0.680261 + 9.47346i) q^{46} +(-0.874599 - 1.51485i) q^{47} +(-2.31013 + 2.42831i) q^{48} +(4.22551 + 5.58078i) q^{49} +(0.793010 + 1.17095i) q^{50} +(1.00463 + 1.74007i) q^{51} +(-3.55753 - 4.51848i) q^{52} +(0.0994447 + 0.0574144i) q^{53} +(-5.64769 - 2.74150i) q^{54} +5.97876 q^{55} +(-7.25745 - 1.82467i) q^{56} -3.92395 q^{57} +(1.66708 + 0.809232i) q^{58} +(2.61363 + 1.50898i) q^{59} +(1.31669 - 1.03667i) q^{60} +(-4.40120 - 7.62310i) q^{61} +(6.89562 + 10.1820i) q^{62} +(-0.378112 - 6.06794i) q^{63} +(7.27138 - 3.33572i) q^{64} +(1.43772 + 2.49021i) q^{65} +(-0.507425 - 7.06651i) q^{66} +(-2.83761 + 4.91489i) q^{67} +(-0.685224 - 4.74669i) q^{68} -5.62738 q^{69} +(3.46114 + 1.42144i) q^{70} +3.06734i q^{71} +(4.37604 + 4.80557i) q^{72} +(8.69332 + 5.01909i) q^{73} +(-0.382326 - 5.32436i) q^{74} +(-0.725648 + 0.418953i) q^{75} +(8.69716 + 3.47608i) q^{76} +(13.1807 - 8.74583i) q^{77} +(2.82124 - 1.91064i) q^{78} +(-11.9852 + 6.91965i) q^{79} +(-3.83669 + 1.13129i) q^{80} +(-1.58707 + 2.74889i) q^{81} +(2.28245 + 1.10795i) q^{82} -17.4215i q^{83} +(1.38629 - 4.21149i) q^{84} +2.39795i q^{85} +(-4.16095 + 8.57187i) q^{86} +(-0.548973 + 0.950850i) q^{87} +(-5.13529 + 16.1119i) q^{88} +(-11.0658 + 6.38886i) q^{89} +(-1.82227 - 2.69075i) q^{90} +(6.81228 + 3.38674i) q^{91} +(12.4727 + 4.98508i) q^{92} +(-6.30988 + 3.64301i) q^{93} +(-2.46739 + 0.177175i) q^{94} +(-4.05564 - 2.34152i) q^{95} +(1.66274 + 4.43870i) q^{96} +3.76431i q^{97} +(9.70967 - 1.92935i) q^{98} -13.7387 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 3q^{2} + 12q^{3} + q^{4} + 12q^{5} + 2q^{6} - 10q^{7} - 6q^{8} + 12q^{9} + O(q^{10}) \) \( 24q - 3q^{2} + 12q^{3} + q^{4} + 12q^{5} + 2q^{6} - 10q^{7} - 6q^{8} + 12q^{9} - 3q^{10} + 8q^{11} + 8q^{12} - 20q^{13} - 15q^{14} - 3q^{16} + 6q^{17} - 27q^{18} + 18q^{19} + 2q^{20} + 26q^{21} - 16q^{22} - 18q^{23} + 6q^{24} - 12q^{25} - 29q^{26} + 3q^{28} + 10q^{30} + 6q^{31} - 33q^{32} + 12q^{33} + 20q^{34} - 8q^{35} - 22q^{36} + 9q^{38} + 18q^{39} - 3q^{40} - 12q^{42} + 32q^{43} - 25q^{44} - 12q^{45} + 53q^{46} + 14q^{48} + 8q^{49} - 22q^{51} - 31q^{52} - 30q^{53} + 10q^{54} + 16q^{55} + 16q^{56} - 44q^{57} + 30q^{58} - 18q^{59} + 10q^{60} - 22q^{61} - 8q^{62} + 12q^{63} + 58q^{64} - 10q^{65} - 8q^{66} - 8q^{67} - 6q^{68} + 12q^{69} + 3q^{70} - 23q^{72} + 30q^{73} - 43q^{74} - 12q^{75} - 8q^{76} + 32q^{77} - 8q^{78} - 6q^{79} + 3q^{80} - 4q^{81} - 27q^{82} - 16q^{84} - 36q^{86} - 14q^{87} + 49q^{88} - 60q^{89} - 24q^{90} + 18q^{91} - 38q^{92} + 18q^{93} + 11q^{94} + 18q^{95} + 2q^{96} - 19q^{98} - 56q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(1\) \(-1\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.617571 1.27224i 0.436689 0.899613i
\(3\) 0.725648 + 0.418953i 0.418953 + 0.241883i 0.694629 0.719368i \(-0.255568\pi\)
−0.275676 + 0.961251i \(0.588902\pi\)
\(4\) −1.23721 1.57140i −0.618606 0.785702i
\(5\) 0.500000 + 0.866025i 0.223607 + 0.387298i
\(6\) 0.981150 0.664468i 0.400553 0.271268i
\(7\) 2.36913 + 1.17781i 0.895445 + 0.445172i
\(8\) −2.76328 + 0.603581i −0.976965 + 0.213398i
\(9\) −1.14896 1.99005i −0.382985 0.663350i
\(10\) 1.41058 0.101290i 0.446065 0.0320306i
\(11\) 2.98938 5.17776i 0.901332 1.56115i 0.0755665 0.997141i \(-0.475923\pi\)
0.825766 0.564013i \(-0.190743\pi\)
\(12\) −0.239435 1.65862i −0.0691191 0.478802i
\(13\) 2.87544 0.797504 0.398752 0.917059i \(-0.369443\pi\)
0.398752 + 0.917059i \(0.369443\pi\)
\(14\) 2.96157 2.28672i 0.791513 0.611152i
\(15\) 0.837906i 0.216346i
\(16\) −0.938618 + 3.88832i −0.234654 + 0.972079i
\(17\) 2.07668 + 1.19897i 0.503670 + 0.290794i 0.730228 0.683204i \(-0.239414\pi\)
−0.226558 + 0.973998i \(0.572747\pi\)
\(18\) −3.24139 + 0.232755i −0.764004 + 0.0548608i
\(19\) −4.05564 + 2.34152i −0.930427 + 0.537182i −0.886947 0.461872i \(-0.847178\pi\)
−0.0434803 + 0.999054i \(0.513845\pi\)
\(20\) 0.742270 1.85716i 0.165977 0.415273i
\(21\) 1.22570 + 1.84723i 0.267470 + 0.403099i
\(22\) −4.74122 7.00086i −1.01083 1.49259i
\(23\) −5.81623 + 3.35800i −1.21277 + 0.700191i −0.963361 0.268208i \(-0.913569\pi\)
−0.249406 + 0.968399i \(0.580235\pi\)
\(24\) −2.25804 0.719696i −0.460920 0.146907i
\(25\) −0.500000 + 0.866025i −0.100000 + 0.173205i
\(26\) 1.77579 3.65827i 0.348261 0.717445i
\(27\) 4.43915i 0.854316i
\(28\) −1.08029 5.18006i −0.204155 0.978939i
\(29\) 1.31035i 0.243325i 0.992572 + 0.121663i \(0.0388226\pi\)
−0.992572 + 0.121663i \(0.961177\pi\)
\(30\) 1.06602 + 0.517467i 0.194628 + 0.0944761i
\(31\) −4.34775 + 7.53053i −0.780879 + 1.35252i 0.150551 + 0.988602i \(0.451895\pi\)
−0.931430 + 0.363920i \(0.881438\pi\)
\(32\) 4.36722 + 3.59546i 0.772023 + 0.635594i
\(33\) 4.33848 2.50482i 0.755232 0.436034i
\(34\) 2.80789 1.90160i 0.481549 0.326121i
\(35\) 0.164546 + 2.64063i 0.0278133 + 0.446348i
\(36\) −1.70567 + 4.26759i −0.284279 + 0.711265i
\(37\) 3.26889 1.88729i 0.537402 0.310269i −0.206624 0.978421i \(-0.566248\pi\)
0.744025 + 0.668151i \(0.232914\pi\)
\(38\) 0.474344 + 6.60582i 0.0769487 + 1.07161i
\(39\) 2.08656 + 1.20468i 0.334117 + 0.192903i
\(40\) −1.90435 2.09128i −0.301105 0.330660i
\(41\) 1.79404i 0.280181i 0.990139 + 0.140091i \(0.0447394\pi\)
−0.990139 + 0.140091i \(0.955261\pi\)
\(42\) 3.10709 0.418596i 0.479434 0.0645907i
\(43\) −6.73760 −1.02747 −0.513737 0.857948i \(-0.671739\pi\)
−0.513737 + 0.857948i \(0.671739\pi\)
\(44\) −11.8348 + 1.70846i −1.78417 + 0.257560i
\(45\) 1.14896 1.99005i 0.171276 0.296659i
\(46\) 0.680261 + 9.47346i 0.100299 + 1.39679i
\(47\) −0.874599 1.51485i −0.127573 0.220963i 0.795163 0.606396i \(-0.207385\pi\)
−0.922736 + 0.385433i \(0.874052\pi\)
\(48\) −2.31013 + 2.42831i −0.333438 + 0.350497i
\(49\) 4.22551 + 5.58078i 0.603644 + 0.797254i
\(50\) 0.793010 + 1.17095i 0.112149 + 0.165598i
\(51\) 1.00463 + 1.74007i 0.140676 + 0.243658i
\(52\) −3.55753 4.51848i −0.493341 0.626601i
\(53\) 0.0994447 + 0.0574144i 0.0136598 + 0.00788648i 0.506814 0.862055i \(-0.330823\pi\)
−0.493155 + 0.869942i \(0.664156\pi\)
\(54\) −5.64769 2.74150i −0.768553 0.373070i
\(55\) 5.97876 0.806176
\(56\) −7.25745 1.82467i −0.969818 0.243831i
\(57\) −3.92395 −0.519740
\(58\) 1.66708 + 0.809232i 0.218898 + 0.106257i
\(59\) 2.61363 + 1.50898i 0.340266 + 0.196453i 0.660390 0.750923i \(-0.270391\pi\)
−0.320124 + 0.947376i \(0.603724\pi\)
\(60\) 1.31669 1.03667i 0.169984 0.133833i
\(61\) −4.40120 7.62310i −0.563516 0.976038i −0.997186 0.0749664i \(-0.976115\pi\)
0.433670 0.901072i \(-0.357218\pi\)
\(62\) 6.89562 + 10.1820i 0.875745 + 1.29312i
\(63\) −0.378112 6.06794i −0.0476376 0.764488i
\(64\) 7.27138 3.33572i 0.908923 0.416965i
\(65\) 1.43772 + 2.49021i 0.178327 + 0.308872i
\(66\) −0.507425 7.06651i −0.0624597 0.869827i
\(67\) −2.83761 + 4.91489i −0.346670 + 0.600449i −0.985656 0.168769i \(-0.946021\pi\)
0.638986 + 0.769218i \(0.279354\pi\)
\(68\) −0.685224 4.74669i −0.0830956 0.575621i
\(69\) −5.62738 −0.677457
\(70\) 3.46114 + 1.42144i 0.413686 + 0.169894i
\(71\) 3.06734i 0.364026i 0.983296 + 0.182013i \(0.0582613\pi\)
−0.983296 + 0.182013i \(0.941739\pi\)
\(72\) 4.37604 + 4.80557i 0.515721 + 0.566342i
\(73\) 8.69332 + 5.01909i 1.01748 + 0.587440i 0.913372 0.407126i \(-0.133469\pi\)
0.104104 + 0.994566i \(0.466802\pi\)
\(74\) −0.382326 5.32436i −0.0444445 0.618944i
\(75\) −0.725648 + 0.418953i −0.0837906 + 0.0483765i
\(76\) 8.69716 + 3.47608i 0.997632 + 0.398734i
\(77\) 13.1807 8.74583i 1.50208 0.996680i
\(78\) 2.82124 1.91064i 0.319443 0.216337i
\(79\) −11.9852 + 6.91965i −1.34844 + 0.778522i −0.988028 0.154272i \(-0.950697\pi\)
−0.360411 + 0.932794i \(0.617364\pi\)
\(80\) −3.83669 + 1.13129i −0.428955 + 0.126482i
\(81\) −1.58707 + 2.74889i −0.176341 + 0.305432i
\(82\) 2.28245 + 1.10795i 0.252055 + 0.122352i
\(83\) 17.4215i 1.91226i −0.292940 0.956131i \(-0.594634\pi\)
0.292940 0.956131i \(-0.405366\pi\)
\(84\) 1.38629 4.21149i 0.151257 0.459511i
\(85\) 2.39795i 0.260094i
\(86\) −4.16095 + 8.57187i −0.448687 + 0.924329i
\(87\) −0.548973 + 0.950850i −0.0588561 + 0.101942i
\(88\) −5.13529 + 16.1119i −0.547423 + 1.71754i
\(89\) −11.0658 + 6.38886i −1.17297 + 0.677217i −0.954379 0.298598i \(-0.903481\pi\)
−0.218596 + 0.975815i \(0.570148\pi\)
\(90\) −1.82227 2.69075i −0.192084 0.283630i
\(91\) 6.81228 + 3.38674i 0.714121 + 0.355026i
\(92\) 12.4727 + 4.98508i 1.30037 + 0.519731i
\(93\) −6.30988 + 3.64301i −0.654304 + 0.377762i
\(94\) −2.46739 + 0.177175i −0.254491 + 0.0182743i
\(95\) −4.05564 2.34152i −0.416100 0.240235i
\(96\) 1.66274 + 4.43870i 0.169702 + 0.453023i
\(97\) 3.76431i 0.382208i 0.981570 + 0.191104i \(0.0612067\pi\)
−0.981570 + 0.191104i \(0.938793\pi\)
\(98\) 9.70967 1.92935i 0.980824 0.194894i
\(99\) −13.7387 −1.38079
\(100\) 1.97948 0.285754i 0.197948 0.0285754i
\(101\) 8.14097 14.1006i 0.810057 1.40306i −0.102767 0.994705i \(-0.532770\pi\)
0.912824 0.408354i \(-0.133897\pi\)
\(102\) 2.83422 0.203517i 0.280629 0.0201511i
\(103\) −1.13180 1.96034i −0.111520 0.193158i 0.804864 0.593460i \(-0.202238\pi\)
−0.916383 + 0.400302i \(0.868905\pi\)
\(104\) −7.94564 + 1.73556i −0.779134 + 0.170186i
\(105\) −0.986898 + 1.98511i −0.0963114 + 0.193726i
\(106\) 0.134459 0.0910605i 0.0130599 0.00884458i
\(107\) 1.21095 + 2.09743i 0.117067 + 0.202766i 0.918604 0.395179i \(-0.129317\pi\)
−0.801537 + 0.597945i \(0.795984\pi\)
\(108\) −6.97570 + 5.49217i −0.671237 + 0.528484i
\(109\) 6.35090 + 3.66669i 0.608306 + 0.351206i 0.772302 0.635255i \(-0.219105\pi\)
−0.163996 + 0.986461i \(0.552439\pi\)
\(110\) 3.69231 7.60645i 0.352048 0.725246i
\(111\) 3.16275 0.300195
\(112\) −6.80342 + 8.10639i −0.642862 + 0.765982i
\(113\) 15.0661 1.41730 0.708651 0.705559i \(-0.249304\pi\)
0.708651 + 0.705559i \(0.249304\pi\)
\(114\) −2.42332 + 4.99223i −0.226965 + 0.467565i
\(115\) −5.81623 3.35800i −0.542366 0.313135i
\(116\) 2.05908 1.62117i 0.191181 0.150522i
\(117\) −3.30376 5.72228i −0.305433 0.529025i
\(118\) 3.53390 2.39328i 0.325322 0.220319i
\(119\) 3.50775 + 5.28646i 0.321555 + 0.484609i
\(120\) −0.505744 2.31537i −0.0461679 0.211363i
\(121\) −12.3728 21.4303i −1.12480 1.94821i
\(122\) −12.4165 + 0.891591i −1.12414 + 0.0807209i
\(123\) −0.751617 + 1.30184i −0.0677710 + 0.117383i
\(124\) 17.2126 2.48478i 1.54574 0.223140i
\(125\) −1.00000 −0.0894427
\(126\) −7.95341 3.26633i −0.708546 0.290988i
\(127\) 5.22434i 0.463585i −0.972765 0.231793i \(-0.925541\pi\)
0.972765 0.231793i \(-0.0744591\pi\)
\(128\) 0.246747 11.3110i 0.0218095 0.999762i
\(129\) −4.88913 2.82274i −0.430464 0.248528i
\(130\) 4.05605 0.291252i 0.355739 0.0255445i
\(131\) 7.76094 4.48078i 0.678076 0.391487i −0.121054 0.992646i \(-0.538627\pi\)
0.799130 + 0.601159i \(0.205294\pi\)
\(132\) −9.30370 3.71851i −0.809783 0.323655i
\(133\) −12.3662 + 0.770575i −1.07228 + 0.0668173i
\(134\) 4.50051 + 6.64543i 0.388785 + 0.574078i
\(135\) 3.84442 2.21958i 0.330875 0.191031i
\(136\) −6.46212 2.05965i −0.554123 0.176613i
\(137\) 10.4348 18.0735i 0.891502 1.54413i 0.0534263 0.998572i \(-0.482986\pi\)
0.838075 0.545554i \(-0.183681\pi\)
\(138\) −3.47531 + 7.15940i −0.295838 + 0.609449i
\(139\) 12.8189i 1.08728i 0.839318 + 0.543641i \(0.182955\pi\)
−0.839318 + 0.543641i \(0.817045\pi\)
\(140\) 3.94592 3.52558i 0.333491 0.297966i
\(141\) 1.46566i 0.123431i
\(142\) 3.90240 + 1.89430i 0.327482 + 0.158966i
\(143\) 8.59580 14.8884i 0.718817 1.24503i
\(144\) 8.81638 2.59961i 0.734698 0.216634i
\(145\) −1.13479 + 0.655173i −0.0942394 + 0.0544091i
\(146\) 11.7543 7.96038i 0.972789 0.658806i
\(147\) 0.728148 + 5.81997i 0.0600566 + 0.480023i
\(148\) −7.01000 2.80176i −0.576219 0.230303i
\(149\) 0.696284 0.402000i 0.0570418 0.0329331i −0.471208 0.882022i \(-0.656182\pi\)
0.528250 + 0.849089i \(0.322849\pi\)
\(150\) 0.0848712 + 1.18194i 0.00692970 + 0.0965046i
\(151\) −11.3405 6.54743i −0.922875 0.532822i −0.0383242 0.999265i \(-0.512202\pi\)
−0.884551 + 0.466443i \(0.845535\pi\)
\(152\) 9.79354 8.91818i 0.794361 0.723360i
\(153\) 5.51027i 0.445479i
\(154\) −2.98683 22.1702i −0.240686 1.78652i
\(155\) −8.69550 −0.698440
\(156\) −0.688483 4.76927i −0.0551228 0.381847i
\(157\) −8.58489 + 14.8695i −0.685149 + 1.18671i 0.288241 + 0.957558i \(0.406930\pi\)
−0.973390 + 0.229155i \(0.926404\pi\)
\(158\) 1.40178 + 19.5215i 0.111519 + 1.55305i
\(159\) 0.0481079 + 0.0833254i 0.00381521 + 0.00660813i
\(160\) −0.930151 + 5.57986i −0.0735349 + 0.441127i
\(161\) −17.7345 + 1.10509i −1.39767 + 0.0870932i
\(162\) 2.51713 + 3.71678i 0.197764 + 0.292018i
\(163\) −2.93458 5.08284i −0.229854 0.398119i 0.727911 0.685672i \(-0.240492\pi\)
−0.957765 + 0.287553i \(0.907158\pi\)
\(164\) 2.81915 2.21960i 0.220139 0.173322i
\(165\) 4.33848 + 2.50482i 0.337750 + 0.195000i
\(166\) −22.1644 10.7590i −1.72029 0.835063i
\(167\) −6.02260 −0.466043 −0.233022 0.972472i \(-0.574861\pi\)
−0.233022 + 0.972472i \(0.574861\pi\)
\(168\) −4.50191 4.36460i −0.347330 0.336736i
\(169\) −4.73183 −0.363987
\(170\) 3.05077 + 1.48090i 0.233984 + 0.113580i
\(171\) 9.31950 + 5.38062i 0.712680 + 0.411466i
\(172\) 8.33583 + 10.5875i 0.635601 + 0.807288i
\(173\) −1.08168 1.87352i −0.0822385 0.142441i 0.821973 0.569527i \(-0.192874\pi\)
−0.904211 + 0.427086i \(0.859540\pi\)
\(174\) 0.870683 + 1.28565i 0.0660063 + 0.0974646i
\(175\) −2.20458 + 1.46282i −0.166651 + 0.110578i
\(176\) 17.3269 + 16.4836i 1.30606 + 1.24250i
\(177\) 1.26439 + 2.18998i 0.0950371 + 0.164609i
\(178\) 1.29425 + 18.0240i 0.0970081 + 1.35096i
\(179\) 5.63498 9.76008i 0.421178 0.729502i −0.574877 0.818240i \(-0.694950\pi\)
0.996055 + 0.0887377i \(0.0282833\pi\)
\(180\) −4.54867 + 0.656639i −0.339038 + 0.0489430i
\(181\) −15.2369 −1.13255 −0.566274 0.824217i \(-0.691616\pi\)
−0.566274 + 0.824217i \(0.691616\pi\)
\(182\) 8.51583 6.57534i 0.631235 0.487396i
\(183\) 7.37559i 0.545219i
\(184\) 14.0450 12.7896i 1.03541 0.942865i
\(185\) 3.26889 + 1.88729i 0.240333 + 0.138757i
\(186\) 0.737998 + 10.2775i 0.0541126 + 0.753585i
\(187\) 12.4160 7.16838i 0.907948 0.524204i
\(188\) −1.29838 + 3.24854i −0.0946938 + 0.236924i
\(189\) 5.22850 10.5169i 0.380317 0.764993i
\(190\) −5.48363 + 3.71370i −0.397825 + 0.269420i
\(191\) 5.33642 3.08099i 0.386130 0.222932i −0.294352 0.955697i \(-0.595104\pi\)
0.680482 + 0.732765i \(0.261770\pi\)
\(192\) 6.67397 + 0.625809i 0.481653 + 0.0451639i
\(193\) 5.79750 10.0416i 0.417313 0.722808i −0.578355 0.815785i \(-0.696305\pi\)
0.995668 + 0.0929776i \(0.0296385\pi\)
\(194\) 4.78912 + 2.32473i 0.343839 + 0.166906i
\(195\) 2.40935i 0.172537i
\(196\) 3.54181 13.5446i 0.252986 0.967470i
\(197\) 13.1499i 0.936892i 0.883492 + 0.468446i \(0.155186\pi\)
−0.883492 + 0.468446i \(0.844814\pi\)
\(198\) −8.48461 + 17.4790i −0.602975 + 1.24218i
\(199\) 10.0683 17.4388i 0.713724 1.23621i −0.249726 0.968317i \(-0.580341\pi\)
0.963450 0.267889i \(-0.0863261\pi\)
\(200\) 0.858921 2.69486i 0.0607349 0.190555i
\(201\) −4.11822 + 2.37765i −0.290477 + 0.167707i
\(202\) −12.9117 19.0654i −0.908467 1.34144i
\(203\) −1.54334 + 3.10437i −0.108321 + 0.217884i
\(204\) 1.49141 3.73150i 0.104420 0.261258i
\(205\) −1.55368 + 0.897018i −0.108514 + 0.0626504i
\(206\) −3.19299 + 0.229279i −0.222466 + 0.0159746i
\(207\) 13.3652 + 7.71639i 0.928944 + 0.536326i
\(208\) −2.69894 + 11.1806i −0.187138 + 0.775237i
\(209\) 27.9988i 1.93672i
\(210\) 1.91606 + 2.48152i 0.132221 + 0.171241i
\(211\) 4.31289 0.296912 0.148456 0.988919i \(-0.452570\pi\)
0.148456 + 0.988919i \(0.452570\pi\)
\(212\) −0.0328129 0.227302i −0.00225360 0.0156111i
\(213\) −1.28507 + 2.22581i −0.0880516 + 0.152510i
\(214\) 3.41629 0.245314i 0.233533 0.0167693i
\(215\) −3.36880 5.83493i −0.229750 0.397939i
\(216\) 2.67939 + 12.2666i 0.182309 + 0.834637i
\(217\) −19.1699 + 12.7199i −1.30134 + 0.863484i
\(218\) 8.58706 5.81545i 0.581589 0.393872i
\(219\) 4.20553 + 7.28419i 0.284183 + 0.492220i
\(220\) −7.39699 9.39505i −0.498705 0.633414i
\(221\) 5.97138 + 3.44758i 0.401679 + 0.231909i
\(222\) 1.95322 4.02379i 0.131092 0.270059i
\(223\) 11.5948 0.776447 0.388224 0.921565i \(-0.373089\pi\)
0.388224 + 0.921565i \(0.373089\pi\)
\(224\) 6.11171 + 13.6619i 0.408356 + 0.912823i
\(225\) 2.29791 0.153194
\(226\) 9.30441 19.1678i 0.618920 1.27502i
\(227\) 16.7181 + 9.65222i 1.10962 + 0.640640i 0.938731 0.344650i \(-0.112002\pi\)
0.170890 + 0.985290i \(0.445336\pi\)
\(228\) 4.85476 + 6.16611i 0.321514 + 0.408361i
\(229\) 8.54131 + 14.7940i 0.564425 + 0.977613i 0.997103 + 0.0760647i \(0.0242355\pi\)
−0.432678 + 0.901549i \(0.642431\pi\)
\(230\) −7.86413 + 5.32585i −0.518545 + 0.351176i
\(231\) 13.2286 0.824315i 0.870379 0.0542360i
\(232\) −0.790899 3.62085i −0.0519251 0.237720i
\(233\) −6.11671 10.5945i −0.400719 0.694066i 0.593094 0.805133i \(-0.297906\pi\)
−0.993813 + 0.111068i \(0.964573\pi\)
\(234\) −9.32044 + 0.669273i −0.609296 + 0.0437517i
\(235\) 0.874599 1.51485i 0.0570525 0.0988179i
\(236\) −0.862397 5.97400i −0.0561373 0.388875i
\(237\) −11.5960 −0.753244
\(238\) 8.89196 1.19795i 0.576380 0.0776516i
\(239\) 1.56688i 0.101353i 0.998715 + 0.0506767i \(0.0161378\pi\)
−0.998715 + 0.0506767i \(0.983862\pi\)
\(240\) −3.25804 0.786474i −0.210306 0.0507667i
\(241\) 19.0828 + 11.0174i 1.22923 + 0.709695i 0.966869 0.255275i \(-0.0821659\pi\)
0.262360 + 0.964970i \(0.415499\pi\)
\(242\) −34.9057 + 2.50647i −2.24382 + 0.161122i
\(243\) −13.8366 + 7.98855i −0.887617 + 0.512466i
\(244\) −6.53376 + 16.3474i −0.418281 + 1.04654i
\(245\) −2.72034 + 6.44979i −0.173796 + 0.412062i
\(246\) 1.19208 + 1.76022i 0.0760042 + 0.112227i
\(247\) −11.6618 + 6.73291i −0.742019 + 0.428405i
\(248\) 7.46875 23.4331i 0.474266 1.48801i
\(249\) 7.29881 12.6419i 0.462543 0.801148i
\(250\) −0.617571 + 1.27224i −0.0390586 + 0.0804638i
\(251\) 7.68553i 0.485106i −0.970138 0.242553i \(-0.922015\pi\)
0.970138 0.242553i \(-0.0779849\pi\)
\(252\) −9.06737 + 8.10148i −0.571191 + 0.510346i
\(253\) 40.1534i 2.52442i
\(254\) −6.64664 3.22640i −0.417047 0.202443i
\(255\) −1.00463 + 1.74007i −0.0629122 + 0.108967i
\(256\) −14.2380 7.29928i −0.889875 0.456205i
\(257\) 1.93788 1.11883i 0.120881 0.0697909i −0.438340 0.898809i \(-0.644433\pi\)
0.559221 + 0.829018i \(0.311100\pi\)
\(258\) −6.61060 + 4.47692i −0.411558 + 0.278721i
\(259\) 9.96728 0.621092i 0.619337 0.0385928i
\(260\) 2.13435 5.34015i 0.132367 0.331182i
\(261\) 2.60765 1.50553i 0.161410 0.0931900i
\(262\) −0.907712 12.6410i −0.0560787 0.780964i
\(263\) −15.0365 8.68130i −0.927188 0.535312i −0.0412668 0.999148i \(-0.513139\pi\)
−0.885921 + 0.463836i \(0.846473\pi\)
\(264\) −10.4765 + 9.54013i −0.644787 + 0.587155i
\(265\) 0.114829i 0.00705388i
\(266\) −6.65665 + 16.2087i −0.408145 + 0.993819i
\(267\) −10.7065 −0.655229
\(268\) 11.2340 1.62172i 0.686226 0.0990624i
\(269\) 0.374476 0.648612i 0.0228322 0.0395466i −0.854384 0.519643i \(-0.826065\pi\)
0.877216 + 0.480096i \(0.159398\pi\)
\(270\) −0.449640 6.26179i −0.0273642 0.381080i
\(271\) 10.8572 + 18.8052i 0.659527 + 1.14233i 0.980738 + 0.195327i \(0.0625767\pi\)
−0.321211 + 0.947008i \(0.604090\pi\)
\(272\) −6.61120 + 6.94942i −0.400863 + 0.421370i
\(273\) 3.52444 + 5.31161i 0.213309 + 0.321473i
\(274\) −16.5497 24.4373i −0.999806 1.47631i
\(275\) 2.98938 + 5.17776i 0.180266 + 0.312231i
\(276\) 6.96225 + 8.84288i 0.419078 + 0.532279i
\(277\) −20.4537 11.8089i −1.22894 0.709531i −0.262135 0.965031i \(-0.584426\pi\)
−0.966809 + 0.255500i \(0.917760\pi\)
\(278\) 16.3087 + 7.91657i 0.978133 + 0.474804i
\(279\) 19.9815 1.19626
\(280\) −2.04852 7.19747i −0.122422 0.430131i
\(281\) −14.4129 −0.859803 −0.429901 0.902876i \(-0.641452\pi\)
−0.429901 + 0.902876i \(0.641452\pi\)
\(282\) −1.86468 0.905152i −0.111040 0.0539010i
\(283\) 10.7892 + 6.22915i 0.641351 + 0.370284i 0.785135 0.619325i \(-0.212594\pi\)
−0.143784 + 0.989609i \(0.545927\pi\)
\(284\) 4.82002 3.79494i 0.286016 0.225188i
\(285\) −1.96198 3.39824i −0.116217 0.201295i
\(286\) −13.6331 20.1306i −0.806143 1.19035i
\(287\) −2.11304 + 4.25030i −0.124729 + 0.250887i
\(288\) 2.13741 12.8220i 0.125948 0.755545i
\(289\) −5.62493 9.74266i −0.330878 0.573097i
\(290\) 0.132724 + 1.84835i 0.00779384 + 0.108539i
\(291\) −1.57707 + 2.73157i −0.0924495 + 0.160127i
\(292\) −2.86846 19.8704i −0.167864 1.16283i
\(293\) 8.47355 0.495030 0.247515 0.968884i \(-0.420386\pi\)
0.247515 + 0.968884i \(0.420386\pi\)
\(294\) 7.85411 + 2.66787i 0.458061 + 0.155593i
\(295\) 3.01797i 0.175713i
\(296\) −7.89370 + 7.18815i −0.458812 + 0.417803i
\(297\) −22.9849 13.2703i −1.33372 0.770023i
\(298\) −0.0814368 1.13411i −0.00471751 0.0656971i
\(299\) −16.7242 + 9.65573i −0.967187 + 0.558406i
\(300\) 1.55612 + 0.621953i 0.0898429 + 0.0359084i
\(301\) −15.9622 7.93564i −0.920047 0.457403i
\(302\) −15.3335 + 10.3844i −0.882343 + 0.597553i
\(303\) 11.8150 6.82137i 0.678752 0.391877i
\(304\) −5.29789 17.9674i −0.303855 1.03050i
\(305\) 4.40120 7.62310i 0.252012 0.436498i
\(306\) −7.01041 3.40299i −0.400759 0.194536i
\(307\) 11.9420i 0.681565i −0.940142 0.340783i \(-0.889308\pi\)
0.940142 0.340783i \(-0.110692\pi\)
\(308\) −30.0505 9.89170i −1.71229 0.563632i
\(309\) 1.89668i 0.107899i
\(310\) −5.37009 + 11.0628i −0.305001 + 0.628325i
\(311\) −7.74793 + 13.4198i −0.439345 + 0.760967i −0.997639 0.0686757i \(-0.978123\pi\)
0.558294 + 0.829643i \(0.311456\pi\)
\(312\) −6.49286 2.06944i −0.367586 0.117159i
\(313\) 14.9712 8.64360i 0.846220 0.488565i −0.0131537 0.999913i \(-0.504187\pi\)
0.859374 + 0.511348i \(0.170854\pi\)
\(314\) 13.6158 + 20.1050i 0.768385 + 1.13459i
\(315\) 5.06593 3.36142i 0.285433 0.189395i
\(316\) 25.7018 + 10.2725i 1.44584 + 0.577873i
\(317\) 7.20732 4.16115i 0.404803 0.233713i −0.283751 0.958898i \(-0.591579\pi\)
0.688554 + 0.725185i \(0.258246\pi\)
\(318\) 0.135720 0.00974566i 0.00761082 0.000546510i
\(319\) 6.78466 + 3.91712i 0.379868 + 0.219317i
\(320\) 6.52451 + 4.62934i 0.364731 + 0.258788i
\(321\) 2.02933i 0.113266i
\(322\) −9.54636 + 23.2450i −0.531998 + 1.29540i
\(323\) −11.2297 −0.624837
\(324\) 6.28315 0.907025i 0.349064 0.0503903i
\(325\) −1.43772 + 2.49021i −0.0797504 + 0.138132i
\(326\) −8.27893 + 0.594485i −0.458527 + 0.0329255i
\(327\) 3.07235 + 5.32146i 0.169901 + 0.294277i
\(328\) −1.08285 4.95741i −0.0597901 0.273727i
\(329\) −0.287823 4.61898i −0.0158682 0.254653i
\(330\) 5.86607 3.97270i 0.322916 0.218690i
\(331\) 12.6436 + 21.8993i 0.694953 + 1.20369i 0.970197 + 0.242319i \(0.0779082\pi\)
−0.275244 + 0.961375i \(0.588759\pi\)
\(332\) −27.3763 + 21.5541i −1.50247 + 1.18294i
\(333\) −7.51162 4.33683i −0.411634 0.237657i
\(334\) −3.71939 + 7.66222i −0.203516 + 0.419258i
\(335\) −5.67523 −0.310071
\(336\) −8.33308 + 3.03207i −0.454607 + 0.165413i
\(337\) −0.379048 −0.0206481 −0.0103240 0.999947i \(-0.503286\pi\)
−0.0103240 + 0.999947i \(0.503286\pi\)
\(338\) −2.92224 + 6.02004i −0.158949 + 0.327447i
\(339\) 10.9327 + 6.31200i 0.593783 + 0.342821i
\(340\) 3.76814 2.96677i 0.204356 0.160895i
\(341\) 25.9942 + 45.0232i 1.40766 + 2.43815i
\(342\) 12.6009 8.53377i 0.681379 0.461453i
\(343\) 3.43764 + 18.1984i 0.185615 + 0.982623i
\(344\) 18.6178 4.06668i 1.00381 0.219261i
\(345\) −2.81369 4.87345i −0.151484 0.262378i
\(346\) −3.05159 + 0.219125i −0.164055 + 0.0117803i
\(347\) 4.89803 8.48364i 0.262940 0.455426i −0.704082 0.710119i \(-0.748641\pi\)
0.967022 + 0.254693i \(0.0819745\pi\)
\(348\) 2.17336 0.313743i 0.116505 0.0168184i
\(349\) −6.73905 −0.360733 −0.180366 0.983599i \(-0.557728\pi\)
−0.180366 + 0.983599i \(0.557728\pi\)
\(350\) 0.499573 + 3.70816i 0.0267033 + 0.198209i
\(351\) 12.7645i 0.681321i
\(352\) 31.6717 11.8642i 1.68811 0.632365i
\(353\) 18.5926 + 10.7345i 0.989587 + 0.571338i 0.905151 0.425091i \(-0.139758\pi\)
0.0844361 + 0.996429i \(0.473091\pi\)
\(354\) 3.56704 0.256138i 0.189586 0.0136136i
\(355\) −2.65639 + 1.53367i −0.140987 + 0.0813986i
\(356\) 23.7302 + 9.48451i 1.25770 + 0.502678i
\(357\) 0.330614 + 5.30570i 0.0174980 + 0.280807i
\(358\) −8.93720 13.1966i −0.472346 0.697463i
\(359\) −4.15852 + 2.40092i −0.219478 + 0.126716i −0.605709 0.795687i \(-0.707110\pi\)
0.386231 + 0.922402i \(0.373777\pi\)
\(360\) −1.97373 + 6.19255i −0.104025 + 0.326376i
\(361\) 1.46546 2.53825i 0.0771294 0.133592i
\(362\) −9.40986 + 19.3850i −0.494571 + 1.01885i
\(363\) 20.7345i 1.08828i
\(364\) −3.10630 14.8950i −0.162815 0.780708i
\(365\) 10.0382i 0.525423i
\(366\) −9.38355 4.55495i −0.490486 0.238091i
\(367\) −5.81465 + 10.0713i −0.303522 + 0.525716i −0.976931 0.213554i \(-0.931496\pi\)
0.673409 + 0.739270i \(0.264829\pi\)
\(368\) −7.59775 25.7672i −0.396060 1.34321i
\(369\) 3.57022 2.06127i 0.185858 0.107305i
\(370\) 4.41987 2.99328i 0.229778 0.155613i
\(371\) 0.167973 + 0.253149i 0.00872075 + 0.0131429i
\(372\) 13.5313 + 5.40819i 0.701564 + 0.280402i
\(373\) 25.2282 14.5655i 1.30627 0.754174i 0.324797 0.945784i \(-0.394704\pi\)
0.981471 + 0.191610i \(0.0613707\pi\)
\(374\) −1.45216 20.2232i −0.0750896 1.04571i
\(375\) −0.725648 0.418953i −0.0374723 0.0216346i
\(376\) 3.33109 + 3.65805i 0.171788 + 0.188650i
\(377\) 3.76782i 0.194053i
\(378\) −10.1511 13.1469i −0.522117 0.676202i
\(379\) 2.52399 0.129649 0.0648243 0.997897i \(-0.479351\pi\)
0.0648243 + 0.997897i \(0.479351\pi\)
\(380\) 1.33820 + 9.27000i 0.0686483 + 0.475541i
\(381\) 2.18875 3.79103i 0.112133 0.194221i
\(382\) −0.624144 8.69197i −0.0319340 0.444720i
\(383\) −11.6539 20.1851i −0.595485 1.03141i −0.993478 0.114022i \(-0.963627\pi\)
0.397993 0.917388i \(-0.369707\pi\)
\(384\) 4.91784 8.10444i 0.250962 0.413578i
\(385\) 14.1644 + 7.04187i 0.721887 + 0.358887i
\(386\) −9.19495 13.5772i −0.468011 0.691062i
\(387\) 7.74121 + 13.4082i 0.393508 + 0.681575i
\(388\) 5.91525 4.65725i 0.300301 0.236436i
\(389\) −0.383453 0.221387i −0.0194418 0.0112248i 0.490248 0.871583i \(-0.336906\pi\)
−0.509689 + 0.860358i \(0.670240\pi\)
\(390\) 3.06528 + 1.48795i 0.155217 + 0.0753451i
\(391\) −16.1046 −0.814445
\(392\) −15.0447 12.8708i −0.759872 0.650073i
\(393\) 7.50895 0.378776
\(394\) 16.7299 + 8.12101i 0.842840 + 0.409130i
\(395\) −11.9852 6.91965i −0.603041 0.348166i
\(396\) 16.9976 + 21.5890i 0.854164 + 1.08489i
\(397\) −4.05153 7.01745i −0.203340 0.352196i 0.746262 0.665652i \(-0.231846\pi\)
−0.949603 + 0.313456i \(0.898513\pi\)
\(398\) −15.9685 23.5791i −0.800431 1.18191i
\(399\) −9.29634 4.62169i −0.465399 0.231374i
\(400\) −2.89807 2.75702i −0.144904 0.137851i
\(401\) −1.01905 1.76504i −0.0508889 0.0881421i 0.839459 0.543423i \(-0.182872\pi\)
−0.890348 + 0.455281i \(0.849539\pi\)
\(402\) 0.481663 + 6.70775i 0.0240232 + 0.334552i
\(403\) −12.5017 + 21.6536i −0.622755 + 1.07864i
\(404\) −32.2298 + 4.65264i −1.60349 + 0.231477i
\(405\) −3.17414 −0.157724
\(406\) 2.99640 + 3.88068i 0.148709 + 0.192595i
\(407\) 22.5674i 1.11862i
\(408\) −3.82633 4.20191i −0.189432 0.208025i
\(409\) −27.1993 15.7035i −1.34492 0.776490i −0.357395 0.933953i \(-0.616335\pi\)
−0.987525 + 0.157463i \(0.949668\pi\)
\(410\) 0.181717 + 2.53063i 0.00897437 + 0.124979i
\(411\) 15.1439 8.74335i 0.746995 0.431278i
\(412\) −1.68020 + 4.20386i −0.0827776 + 0.207109i
\(413\) 4.41473 + 6.65334i 0.217235 + 0.327390i
\(414\) 18.0711 12.2384i 0.888145 0.601482i
\(415\) 15.0875 8.71077i 0.740616 0.427595i
\(416\) 12.5577 + 10.3386i 0.615692 + 0.506889i
\(417\) −5.37051 + 9.30199i −0.262995 + 0.455521i
\(418\) 35.6213 + 17.2913i 1.74230 + 0.845744i
\(419\) 18.1384i 0.886117i −0.896493 0.443059i \(-0.853893\pi\)
0.896493 0.443059i \(-0.146107\pi\)
\(420\) 4.34040 0.905179i 0.211790 0.0441682i
\(421\) 38.6453i 1.88345i −0.336377 0.941727i \(-0.609202\pi\)
0.336377 0.941727i \(-0.390798\pi\)
\(422\) 2.66352 5.48705i 0.129658 0.267105i
\(423\) −2.00975 + 3.48099i −0.0977175 + 0.169252i
\(424\) −0.309447 0.0986290i −0.0150281 0.00478985i
\(425\) −2.07668 + 1.19897i −0.100734 + 0.0581588i
\(426\) 2.03815 + 3.00952i 0.0987486 + 0.145812i
\(427\) −1.44840 23.2439i −0.0700928 1.12485i
\(428\) 1.79771 4.49786i 0.0868954 0.217412i
\(429\) 12.4750 7.20247i 0.602301 0.347739i
\(430\) −9.50393 + 0.682449i −0.458320 + 0.0329106i
\(431\) −3.59352 2.07472i −0.173094 0.0999358i 0.410950 0.911658i \(-0.365197\pi\)
−0.584044 + 0.811722i \(0.698530\pi\)
\(432\) 17.2608 + 4.16667i 0.830462 + 0.200469i
\(433\) 21.7089i 1.04326i 0.853170 + 0.521632i \(0.174677\pi\)
−0.853170 + 0.521632i \(0.825323\pi\)
\(434\) 4.34404 + 32.2443i 0.208521 + 1.54778i
\(435\) −1.09795 −0.0526425
\(436\) −2.09555 14.5163i −0.100359 0.695205i
\(437\) 15.7257 27.2376i 0.752260 1.30295i
\(438\) 11.8645 0.851953i 0.566907 0.0407079i
\(439\) 3.86516 + 6.69465i 0.184474 + 0.319518i 0.943399 0.331660i \(-0.107609\pi\)
−0.758925 + 0.651178i \(0.774275\pi\)
\(440\) −16.5210 + 3.60867i −0.787606 + 0.172036i
\(441\) 6.25111 14.8210i 0.297672 0.705764i
\(442\) 8.07392 5.46793i 0.384037 0.260083i
\(443\) −8.93181 15.4704i −0.424363 0.735019i 0.571998 0.820255i \(-0.306169\pi\)
−0.996361 + 0.0852368i \(0.972835\pi\)
\(444\) −3.91299 4.96996i −0.185702 0.235864i
\(445\) −11.0658 6.38886i −0.524570 0.302861i
\(446\) 7.16064 14.7515i 0.339066 0.698502i
\(447\) 0.673676 0.0318638
\(448\) 21.1557 + 0.661597i 0.999511 + 0.0312575i
\(449\) 29.3236 1.38387 0.691933 0.721961i \(-0.256759\pi\)
0.691933 + 0.721961i \(0.256759\pi\)
\(450\) 1.41913 2.92351i 0.0668982 0.137815i
\(451\) 9.28909 + 5.36306i 0.437406 + 0.252537i
\(452\) −18.6400 23.6750i −0.876751 1.11358i
\(453\) −5.48613 9.50226i −0.257761 0.446455i
\(454\) 22.6046 15.3086i 1.06089 0.718469i
\(455\) 0.473142 + 7.59298i 0.0221812 + 0.355964i
\(456\) 10.8430 2.36842i 0.507768 0.110912i
\(457\) −4.64207 8.04029i −0.217147 0.376109i 0.736788 0.676124i \(-0.236342\pi\)
−0.953935 + 0.300015i \(0.903008\pi\)
\(458\) 24.0964 1.73029i 1.12595 0.0808512i
\(459\) 5.32243 9.21872i 0.248430 0.430293i
\(460\) 1.91913 + 13.2942i 0.0894797 + 0.619845i
\(461\) −0.401756 −0.0187116 −0.00935582 0.999956i \(-0.502978\pi\)
−0.00935582 + 0.999956i \(0.502978\pi\)
\(462\) 7.12088 17.3391i 0.331293 0.806688i
\(463\) 9.04694i 0.420447i 0.977653 + 0.210223i \(0.0674191\pi\)
−0.977653 + 0.210223i \(0.932581\pi\)
\(464\) −5.09504 1.22991i −0.236531 0.0570973i
\(465\) −6.30988 3.64301i −0.292614 0.168940i
\(466\) −17.2562 + 1.23912i −0.799380 + 0.0574011i
\(467\) −10.4257 + 6.01931i −0.482446 + 0.278540i −0.721435 0.692482i \(-0.756517\pi\)
0.238989 + 0.971022i \(0.423184\pi\)
\(468\) −4.90456 + 12.2712i −0.226713 + 0.567237i
\(469\) −12.5115 + 8.30181i −0.577727 + 0.383342i
\(470\) −1.38713 2.04823i −0.0639836 0.0944778i
\(471\) −12.4592 + 7.19333i −0.574091 + 0.331451i
\(472\) −8.13299 2.59220i −0.374351 0.119315i
\(473\) −20.1413 + 34.8857i −0.926096 + 1.60405i
\(474\) −7.16139 + 14.7530i −0.328933 + 0.677628i
\(475\) 4.68305i 0.214873i
\(476\) 3.96734 12.0526i 0.181843 0.552429i
\(477\) 0.263867i 0.0120816i
\(478\) 1.99346 + 0.967663i 0.0911788 + 0.0442599i
\(479\) 1.59624 2.76477i 0.0729340 0.126325i −0.827252 0.561831i \(-0.810097\pi\)
0.900186 + 0.435506i \(0.143430\pi\)
\(480\) −3.01266 + 3.65932i −0.137509 + 0.167025i
\(481\) 9.39950 5.42680i 0.428580 0.247441i
\(482\) 25.8018 17.4739i 1.17524 0.795913i
\(483\) −13.3320 6.62800i −0.606625 0.301585i
\(484\) −18.3679 + 45.9565i −0.834905 + 2.08893i
\(485\) −3.25999 + 1.88216i −0.148028 + 0.0854643i
\(486\) 1.61831 + 22.5370i 0.0734082 + 1.02230i
\(487\) −3.30907 1.91049i −0.149948 0.0865727i 0.423149 0.906060i \(-0.360925\pi\)
−0.573097 + 0.819488i \(0.694258\pi\)
\(488\) 16.7629 + 18.4082i 0.758820 + 0.833302i
\(489\) 4.91781i 0.222391i
\(490\) 6.52570 + 7.44414i 0.294801 + 0.336292i
\(491\) −42.7678 −1.93008 −0.965041 0.262097i \(-0.915586\pi\)
−0.965041 + 0.262097i \(0.915586\pi\)
\(492\) 2.97562 0.429556i 0.134151 0.0193659i
\(493\) −1.57107 + 2.72117i −0.0707574 + 0.122555i
\(494\) 1.36395 + 18.9947i 0.0613669 + 0.854610i
\(495\) −6.86934 11.8980i −0.308754 0.534777i
\(496\) −25.2002 23.9737i −1.13152 1.07645i
\(497\) −3.61275 + 7.26690i −0.162054 + 0.325965i
\(498\) −11.5761 17.0931i −0.518735 0.765962i
\(499\) −3.71383 6.43253i −0.166254 0.287960i 0.770846 0.637021i \(-0.219834\pi\)
−0.937100 + 0.349062i \(0.886500\pi\)
\(500\) 1.23721 + 1.57140i 0.0553298 + 0.0702753i
\(501\) −4.37029 2.52319i −0.195250 0.112728i
\(502\) −9.77787 4.74636i −0.436408 0.211840i
\(503\) 41.0916 1.83219 0.916093 0.400966i \(-0.131326\pi\)
0.916093 + 0.400966i \(0.131326\pi\)
\(504\) 4.70732 + 16.5392i 0.209681 + 0.736713i
\(505\) 16.2819 0.724537
\(506\) 51.0849 + 24.7976i 2.27100 + 1.10239i
\(507\) −3.43364 1.98241i −0.152493 0.0880421i
\(508\) −8.20955 + 6.46361i −0.364240 + 0.286776i
\(509\) −17.7683 30.7755i −0.787564 1.36410i −0.927455 0.373934i \(-0.878009\pi\)
0.139891 0.990167i \(-0.455325\pi\)
\(510\) 1.59336 + 2.35275i 0.0705551 + 0.104181i
\(511\) 14.6840 + 22.1300i 0.649582 + 0.978972i
\(512\) −18.0794 + 13.6064i −0.799006 + 0.601323i
\(513\) 10.3944 + 18.0036i 0.458923 + 0.794878i
\(514\) −0.226652 3.15641i −0.00999720 0.139223i
\(515\) 1.13180 1.96034i 0.0498731 0.0863827i
\(516\) 1.61322 + 11.1751i 0.0710181 + 0.491957i
\(517\) −10.4580 −0.459944
\(518\) 5.36533 13.0644i 0.235739 0.574016i
\(519\) 1.81269i 0.0795683i
\(520\) −5.47586 6.01335i −0.240132 0.263703i
\(521\) −31.1264 17.9708i −1.36367 0.787316i −0.373561 0.927606i \(-0.621863\pi\)
−0.990111 + 0.140289i \(0.955197\pi\)
\(522\) −0.304989 4.24735i −0.0133490 0.185901i
\(523\) −26.6453 + 15.3837i −1.16512 + 0.672681i −0.952525 0.304460i \(-0.901524\pi\)
−0.212592 + 0.977141i \(0.568191\pi\)
\(524\) −16.6430 6.65189i −0.727054 0.290589i
\(525\) −2.21260 + 0.137874i −0.0965658 + 0.00601731i
\(526\) −20.3308 + 13.7687i −0.886466 + 0.600345i
\(527\) −18.0578 + 10.4257i −0.786610 + 0.454150i
\(528\) 5.66736 + 19.2204i 0.246640 + 0.836462i
\(529\) 11.0523 19.1432i 0.480536 0.832312i
\(530\) 0.146090 + 0.0709150i 0.00634576 + 0.00308035i
\(531\) 6.93502i 0.300954i
\(532\) 16.5105 + 18.4789i 0.715820 + 0.801162i
\(533\) 5.15865i 0.223446i
\(534\) −6.61204 + 13.6213i −0.286131 + 0.589452i
\(535\) −1.21095 + 2.09743i −0.0523540 + 0.0906798i
\(536\) 4.87457 15.2939i 0.210550 0.660597i
\(537\) 8.17803 4.72159i 0.352908 0.203752i
\(538\) −0.593927 0.876990i −0.0256060 0.0378097i
\(539\) 41.5276 5.19560i 1.78872 0.223790i
\(540\) −8.24421 3.29505i −0.354774 0.141796i
\(541\) −6.51224 + 3.75984i −0.279983 + 0.161648i −0.633416 0.773812i \(-0.718348\pi\)
0.353433 + 0.935460i \(0.385014\pi\)
\(542\) 30.6299 2.19944i 1.31567 0.0944740i
\(543\) −11.0566 6.38354i −0.474484 0.273944i
\(544\) 4.75847 + 12.7028i 0.204018 + 0.544629i
\(545\) 7.33339i 0.314128i
\(546\) 8.93425 1.20365i 0.382351 0.0515114i
\(547\) 10.8177 0.462531 0.231265 0.972891i \(-0.425713\pi\)
0.231265 + 0.972891i \(0.425713\pi\)
\(548\) −41.3108 + 5.96356i −1.76471 + 0.254751i
\(549\) −10.1136 + 17.5172i −0.431637 + 0.747617i
\(550\) 8.43353 0.605586i 0.359607 0.0258223i
\(551\) −3.06820 5.31428i −0.130710 0.226396i
\(552\) 15.5500 3.39658i 0.661852 0.144568i
\(553\) −36.5445 + 2.27720i −1.55403 + 0.0968364i
\(554\) −27.6555 + 18.7292i −1.17497 + 0.795729i
\(555\) 1.58137 + 2.73902i 0.0671256 + 0.116265i
\(556\) 20.1436 15.8597i 0.854280 0.672599i
\(557\) 20.6521 + 11.9235i 0.875057 + 0.505214i 0.869025 0.494767i \(-0.164747\pi\)
0.00603158 + 0.999982i \(0.498080\pi\)
\(558\) 12.3400 25.4214i 0.522394 1.07617i
\(559\) −19.3736 −0.819415
\(560\) −10.4220 1.83874i −0.440412 0.0777008i
\(561\) 12.0129 0.507183
\(562\) −8.90101 + 18.3368i −0.375466 + 0.773489i
\(563\) −1.24064 0.716284i −0.0522868 0.0301878i 0.473629 0.880725i \(-0.342944\pi\)
−0.525916 + 0.850537i \(0.676277\pi\)
\(564\) −2.30315 + 1.81334i −0.0969801 + 0.0763552i
\(565\) 7.53306 + 13.0476i 0.316918 + 0.548919i
\(566\) 14.5881 9.87955i 0.613183 0.415269i
\(567\) −6.99765 + 4.64319i −0.293874 + 0.194995i
\(568\) −1.85138 8.47589i −0.0776824 0.355641i
\(569\) 13.6099 + 23.5731i 0.570558 + 0.988235i 0.996509 + 0.0834885i \(0.0266062\pi\)
−0.425951 + 0.904746i \(0.640060\pi\)
\(570\) −5.53506 + 0.397456i −0.231838 + 0.0166476i
\(571\) −6.19271 + 10.7261i −0.259157 + 0.448873i −0.966016 0.258481i \(-0.916778\pi\)
0.706859 + 0.707354i \(0.250111\pi\)
\(572\) −34.0304 + 4.91257i −1.42288 + 0.205405i
\(573\) 5.16316 0.215694
\(574\) 4.10246 + 5.31316i 0.171233 + 0.221767i
\(575\) 6.71600i 0.280076i
\(576\) −14.9928 10.6378i −0.624698 0.443243i
\(577\) 20.3920 + 11.7733i 0.848929 + 0.490130i 0.860289 0.509806i \(-0.170283\pi\)
−0.0113602 + 0.999935i \(0.503616\pi\)
\(578\) −15.8688 + 1.13949i −0.660056 + 0.0473966i
\(579\) 8.41389 4.85776i 0.349669 0.201882i
\(580\) 2.43352 + 0.972630i 0.101046 + 0.0403863i
\(581\) 20.5193 41.2738i 0.851285 1.71233i
\(582\) 2.50126 + 3.69335i 0.103681 + 0.153094i
\(583\) 0.594557 0.343267i 0.0246240 0.0142167i
\(584\) −27.0515 8.62201i −1.11940 0.356781i
\(585\) 3.30376 5.72228i 0.136594 0.236587i
\(586\) 5.23302 10.7804i 0.216174 0.445335i
\(587\) 28.0077i 1.15600i 0.816036 + 0.578001i \(0.196167\pi\)
−0.816036 + 0.578001i \(0.803833\pi\)
\(588\) 8.24465 8.34475i 0.340004 0.344132i
\(589\) 40.7214i 1.67790i
\(590\) 3.83959 + 1.86381i 0.158073 + 0.0767318i
\(591\) −5.50920 + 9.54221i −0.226618 + 0.392514i
\(592\) 4.27015 + 14.4819i 0.175502 + 0.595203i
\(593\) −28.9741 + 16.7282i −1.18982 + 0.686945i −0.958266 0.285877i \(-0.907715\pi\)
−0.231557 + 0.972821i \(0.574382\pi\)
\(594\) −31.0779 + 21.0470i −1.27514 + 0.863569i
\(595\) −2.82434 + 5.68104i −0.115786 + 0.232900i
\(596\) −1.49315 0.596785i −0.0611620 0.0244452i
\(597\) 14.6121 8.43630i 0.598034 0.345275i
\(598\) 1.95605 + 27.2404i 0.0799889 + 1.11394i
\(599\) −37.2436 21.5026i −1.52173 0.878571i −0.999671 0.0256625i \(-0.991830\pi\)
−0.522060 0.852909i \(-0.674836\pi\)
\(600\) 1.75229 1.59567i 0.0715371 0.0651430i
\(601\) 32.3145i 1.31813i 0.752084 + 0.659067i \(0.229049\pi\)
−0.752084 + 0.659067i \(0.770951\pi\)
\(602\) −19.9539 + 15.4070i −0.813259 + 0.627943i
\(603\) 13.0412 0.531078
\(604\) 3.74192 + 25.9210i 0.152256 + 1.05471i
\(605\) 12.3728 21.4303i 0.503026 0.871267i
\(606\) −1.38187 19.2442i −0.0561345 0.781742i
\(607\) 6.75765 + 11.7046i 0.274285 + 0.475075i 0.969954 0.243287i \(-0.0782256\pi\)
−0.695670 + 0.718362i \(0.744892\pi\)
\(608\) −26.1307 4.35594i −1.05974 0.176657i
\(609\) −2.42051 + 1.60609i −0.0980841 + 0.0650822i
\(610\) −6.98039 10.3072i −0.282628 0.417327i
\(611\) −2.51486 4.35586i −0.101740 0.176219i
\(612\) −8.65886 + 6.81737i −0.350014 + 0.275576i
\(613\) 5.63444 + 3.25304i 0.227573 + 0.131389i 0.609452 0.792823i \(-0.291390\pi\)
−0.381879 + 0.924212i \(0.624723\pi\)
\(614\) −15.1931 7.37503i −0.613145 0.297632i
\(615\) −1.50323 −0.0606162
\(616\) −31.1430 + 32.1227i −1.25479 + 1.29426i
\(617\) −1.66184 −0.0669033 −0.0334516 0.999440i \(-0.510650\pi\)
−0.0334516 + 0.999440i \(0.510650\pi\)
\(618\) −2.41305 1.17134i −0.0970670 0.0471181i
\(619\) −24.5080 14.1497i −0.985061 0.568725i −0.0812670 0.996692i \(-0.525897\pi\)
−0.903794 + 0.427967i \(0.859230\pi\)
\(620\) 10.7582 + 13.6641i 0.432059 + 0.548765i
\(621\) 14.9067 + 25.8191i 0.598184 + 1.03609i
\(622\) 12.2884 + 18.1449i 0.492719 + 0.727546i
\(623\) −33.7412 + 2.10252i −1.35181 + 0.0842356i
\(624\) −6.64264 + 6.98247i −0.265919 + 0.279523i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −1.75101 24.3850i −0.0699846 0.974621i
\(627\) −11.7302 + 20.3173i −0.468459 + 0.811395i
\(628\) 33.9873 4.90634i 1.35624 0.195784i
\(629\) 9.05126 0.360897
\(630\) −1.14798 8.52102i −0.0457365 0.339486i
\(631\) 48.7721i 1.94159i −0.239918 0.970793i \(-0.577121\pi\)
0.239918 0.970793i \(-0.422879\pi\)
\(632\) 28.9418 26.3549i 1.15124 1.04834i
\(633\) 3.12964 + 1.80690i 0.124392 + 0.0718178i
\(634\) −0.842961 11.7393i −0.0334783 0.466226i
\(635\) 4.52441 2.61217i 0.179546 0.103661i
\(636\) 0.0714181 0.178688i 0.00283191 0.00708544i
\(637\) 12.1502 + 16.0472i 0.481409 + 0.635814i
\(638\) 9.17355 6.21264i 0.363184 0.245961i
\(639\) 6.10415 3.52424i 0.241477 0.139417i
\(640\) 9.91900 5.44182i 0.392083 0.215107i
\(641\) −10.8633 + 18.8158i −0.429074 + 0.743178i −0.996791 0.0800459i \(-0.974493\pi\)
0.567717 + 0.823224i \(0.307827\pi\)
\(642\) 2.58180 + 1.25326i 0.101896 + 0.0494620i
\(643\) 7.13929i 0.281546i 0.990042 + 0.140773i \(0.0449588\pi\)
−0.990042 + 0.140773i \(0.955041\pi\)
\(644\) 23.6778 + 26.5008i 0.933037 + 1.04428i
\(645\) 5.64548i 0.222290i
\(646\) −6.93514 + 14.2869i −0.272859 + 0.562111i
\(647\) 4.58700 7.94492i 0.180334 0.312347i −0.761661 0.647976i \(-0.775616\pi\)
0.941994 + 0.335629i \(0.108949\pi\)
\(648\) 2.72634 8.55386i 0.107101 0.336027i
\(649\) 15.6263 9.02185i 0.613386 0.354139i
\(650\) 2.28026 + 3.36701i 0.0894390 + 0.132065i
\(651\) −19.2397 + 1.19888i −0.754062 + 0.0469879i
\(652\) −4.35650 + 10.9000i −0.170614 + 0.426875i
\(653\) −0.710174 + 0.410019i −0.0277913 + 0.0160453i −0.513831 0.857891i \(-0.671774\pi\)
0.486040 + 0.873937i \(0.338441\pi\)
\(654\) 8.66759 0.622393i 0.338930 0.0243375i
\(655\) 7.76094 + 4.48078i 0.303245 + 0.175079i
\(656\) −6.97578 1.68391i −0.272358 0.0657458i
\(657\) 23.0669i 0.899924i
\(658\) −6.05422 2.48637i −0.236018 0.0969288i
\(659\) −10.4133 −0.405645 −0.202823 0.979216i \(-0.565011\pi\)
−0.202823 + 0.979216i \(0.565011\pi\)
\(660\) −1.43153 9.91649i −0.0557222 0.385999i
\(661\) −2.76908 + 4.79619i −0.107705 + 0.186550i −0.914840 0.403816i \(-0.867683\pi\)
0.807135 + 0.590367i \(0.201017\pi\)
\(662\) 35.6695 2.56132i 1.38634 0.0995486i
\(663\) 2.88875 + 5.00346i 0.112190 + 0.194318i
\(664\) 10.5153 + 48.1405i 0.408073 + 1.86821i
\(665\) −6.85043 10.3241i −0.265648 0.400353i
\(666\) −10.1565 + 6.87831i −0.393555 + 0.266529i
\(667\) −4.40014 7.62126i −0.170374 0.295097i
\(668\) 7.45123 + 9.46394i 0.288297 + 0.366171i
\(669\) 8.41377 + 4.85769i 0.325295 + 0.187809i
\(670\) −3.50486 + 7.22027i −0.135404 + 0.278944i
\(671\) −52.6275 −2.03166
\(672\) −1.28874 + 12.4742i −0.0497141 + 0.481204i
\(673\) 28.9492 1.11591 0.557956 0.829871i \(-0.311586\pi\)
0.557956 + 0.829871i \(0.311586\pi\)
\(674\) −0.234089 + 0.482242i −0.00901679 + 0.0185753i
\(675\) 3.84442 + 2.21958i 0.147972 + 0.0854316i
\(676\) 5.85427 + 7.43561i 0.225164 + 0.285985i
\(677\) −2.77831 4.81218i −0.106779 0.184947i 0.807685 0.589615i \(-0.200720\pi\)
−0.914464 + 0.404668i \(0.867387\pi\)
\(678\) 14.7821 10.0110i 0.567705 0.384469i
\(679\) −4.43366 + 8.91812i −0.170148 + 0.342246i
\(680\) −1.44735 6.62619i −0.0555035 0.254103i
\(681\) 8.08766 + 14.0082i 0.309920 + 0.536797i
\(682\) 73.3338 5.26588i 2.80810 0.201641i
\(683\) −17.5473 + 30.3928i −0.671428 + 1.16295i 0.306071 + 0.952009i \(0.400986\pi\)
−0.977499 + 0.210939i \(0.932348\pi\)
\(684\) −3.07507 21.3017i −0.117578 0.814489i
\(685\) 20.8695 0.797383
\(686\) 25.2758 + 6.86531i 0.965036 + 0.262119i
\(687\) 14.3136i 0.546099i
\(688\) 6.32403 26.1979i 0.241101 0.998786i
\(689\) 0.285948 + 0.165092i 0.0108937 + 0.00628950i
\(690\) −7.93788 + 0.569995i −0.302190 + 0.0216993i
\(691\) 6.28794 3.63035i 0.239205 0.138105i −0.375606 0.926779i \(-0.622566\pi\)
0.614811 + 0.788674i \(0.289232\pi\)
\(692\) −1.60579 + 4.01769i −0.0610431 + 0.152730i
\(693\) −32.5486 16.1816i −1.23642 0.614688i
\(694\) −7.76838 11.4707i −0.294884 0.435424i
\(695\) −11.1015 + 6.40944i −0.421103 + 0.243124i
\(696\) 0.943050 2.95881i 0.0357462 0.112153i
\(697\) −2.15100 + 3.72564i −0.0814750 + 0.141119i
\(698\) −4.16184 + 8.57372i −0.157528 + 0.324520i
\(699\) 10.2505i 0.387708i
\(700\) 5.02620 + 1.65447i 0.189973 + 0.0625332i
\(701\) 2.84288i 0.107374i −0.998558 0.0536870i \(-0.982903\pi\)
0.998558 0.0536870i \(-0.0170973\pi\)
\(702\) −16.2396 7.88301i −0.612925 0.297525i
\(703\) −8.83828 + 15.3083i −0.333342 + 0.577365i
\(704\) 4.46537 47.6212i 0.168295 1.79479i
\(705\) 1.26930 0.732832i 0.0478047 0.0276000i
\(706\) 25.1392 17.0251i 0.946125 0.640748i
\(707\) 35.8948 23.8175i 1.34996 0.895748i
\(708\) 1.87703 4.69633i 0.0705432 0.176499i
\(709\) −14.8464 + 8.57155i −0.557567 + 0.321911i −0.752168 0.658971i \(-0.770992\pi\)
0.194601 + 0.980882i \(0.437659\pi\)
\(710\) 0.310689 + 4.32673i 0.0116600 + 0.162379i
\(711\) 27.5409 + 15.9008i 1.03287 + 0.596325i
\(712\) 26.7217 24.3333i 1.00144 0.911928i
\(713\) 58.3990i 2.18706i
\(714\) 6.95432 + 2.85603i 0.260259 + 0.106884i
\(715\) 17.1916 0.642929
\(716\) −22.3087 + 3.22044i −0.833715 + 0.120354i
\(717\) −0.656451 + 1.13701i −0.0245156 + 0.0424623i
\(718\) 0.486376 + 6.77339i 0.0181514 + 0.252781i
\(719\) 11.0395 + 19.1210i 0.411705 + 0.713094i 0.995076 0.0991116i \(-0.0316001\pi\)
−0.583371 + 0.812206i \(0.698267\pi\)
\(720\) 6.65951 + 6.33540i 0.248185 + 0.236107i
\(721\) −0.372466 5.97733i −0.0138713 0.222607i
\(722\) −2.32425 3.43197i −0.0864995 0.127725i
\(723\) 9.23158 + 15.9896i 0.343326 + 0.594658i
\(724\) 18.8512 + 23.9433i 0.700600 + 0.889845i
\(725\) −1.13479 0.655173i −0.0421451 0.0243325i
\(726\) −26.3794 12.8050i −0.979030 0.475240i
\(727\) 52.6712 1.95347 0.976733 0.214459i \(-0.0687990\pi\)
0.976733 + 0.214459i \(0.0687990\pi\)
\(728\) −20.8684 5.24672i −0.773434 0.194456i
\(729\) −3.86488 −0.143144
\(730\) 12.7710 + 6.19930i 0.472677 + 0.229446i
\(731\) −13.9919 8.07820i −0.517507 0.298783i
\(732\) −11.5900 + 9.12516i −0.428380 + 0.337275i
\(733\) −0.876721 1.51853i −0.0323824 0.0560880i 0.849380 0.527782i \(-0.176976\pi\)
−0.881762 + 0.471694i \(0.843643\pi\)
\(734\) 9.22215 + 13.6174i 0.340396 + 0.502627i
\(735\) −4.67617 + 3.54058i −0.172483 + 0.130596i
\(736\) −37.4743 6.24689i −1.38132 0.230264i
\(737\) 16.9654 + 29.3850i 0.624929 + 1.08241i
\(738\) −0.417570 5.81518i −0.0153710 0.214060i
\(739\) 9.69575 16.7935i 0.356664 0.617760i −0.630737 0.775996i \(-0.717248\pi\)
0.987401 + 0.158237i \(0.0505808\pi\)
\(740\) −1.07860 7.47172i −0.0396503 0.274666i
\(741\) −11.2831 −0.414495
\(742\) 0.425804 0.0573655i 0.0156317 0.00210595i
\(743\) 44.8603i 1.64576i 0.568213 + 0.822882i \(0.307635\pi\)
−0.568213 + 0.822882i \(0.692365\pi\)
\(744\) 15.2371 13.8752i 0.558618 0.508688i
\(745\) 0.696284 + 0.402000i 0.0255099 + 0.0147281i
\(746\) −2.95067 41.0917i −0.108032 1.50447i
\(747\) −34.6697 + 20.0166i −1.26850 + 0.732368i
\(748\) −26.6256 10.6417i −0.973529 0.389101i
\(749\) 0.398514 + 6.39535i 0.0145614 + 0.233681i
\(750\) −0.981150 + 0.664468i −0.0358265 + 0.0242629i
\(751\) 40.9012 23.6143i 1.49250 0.861698i 0.492542 0.870289i \(-0.336068\pi\)
0.999963 + 0.00859066i \(0.00273453\pi\)
\(752\) 6.71113 1.97885i 0.244730 0.0721613i
\(753\) 3.21988 5.57699i 0.117339 0.203237i
\(754\) 4.79359 + 2.32690i 0.174572 + 0.0847407i
\(755\) 13.0949i 0.476571i
\(756\) −22.9951 + 4.79556i −0.836323 + 0.174413i
\(757\) 1.52456i 0.0554110i −0.999616 0.0277055i \(-0.991180\pi\)
0.999616 0.0277055i \(-0.00882007\pi\)
\(758\) 1.55874 3.21113i 0.0566161 0.116634i
\(759\) −16.8224 + 29.1372i −0.610614 + 1.05761i
\(760\) 12.6201 + 4.02237i 0.457781 + 0.145907i
\(761\) −28.6395 + 16.5350i −1.03818 + 0.599394i −0.919317 0.393517i \(-0.871258\pi\)
−0.118863 + 0.992911i \(0.537925\pi\)
\(762\) −3.47141 5.12586i −0.125756 0.185690i
\(763\) 10.7274 + 16.1670i 0.388358 + 0.585286i
\(764\) −11.4438 4.57385i −0.414021 0.165476i
\(765\) 4.77204 2.75514i 0.172533 0.0996122i
\(766\) −32.8775 + 2.36083i −1.18791 + 0.0853003i
\(767\) 7.51536 + 4.33899i 0.271364 + 0.156672i
\(768\) −7.27372 11.2618i −0.262468 0.406374i
\(769\) 1.31233i 0.0473238i −0.999720 0.0236619i \(-0.992467\pi\)
0.999720 0.0236619i \(-0.00753252\pi\)
\(770\) 17.7065 13.6718i 0.638099 0.492696i
\(771\) 1.87495 0.0675248
\(772\) −22.9521 + 3.31332i −0.826063 + 0.119249i
\(773\) 8.51479 14.7480i 0.306256 0.530450i −0.671284 0.741200i \(-0.734257\pi\)
0.977540 + 0.210749i \(0.0675904\pi\)