Properties

Label 731.2.m.c.87.9
Level 731
Weight 2
Character 731.87
Analytic conductor 5.837
Analytic rank 0
Dimension 128
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.m (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(32\) over \(\Q(\zeta_{8})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 87.9
Character \(\chi\) = 731.87
Dual form 731.2.m.c.689.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.768358 - 0.768358i) q^{2} +(-1.04116 + 0.431262i) q^{3} -0.819252i q^{4} +(-0.778759 - 1.88009i) q^{5} +(1.13135 + 0.468619i) q^{6} +(0.510833 - 1.23326i) q^{7} +(-2.16619 + 2.16619i) q^{8} +(-1.22330 + 1.22330i) q^{9} +O(q^{10})\) \(q+(-0.768358 - 0.768358i) q^{2} +(-1.04116 + 0.431262i) q^{3} -0.819252i q^{4} +(-0.778759 - 1.88009i) q^{5} +(1.13135 + 0.468619i) q^{6} +(0.510833 - 1.23326i) q^{7} +(-2.16619 + 2.16619i) q^{8} +(-1.22330 + 1.22330i) q^{9} +(-0.846217 + 2.04295i) q^{10} +(0.949159 + 0.393155i) q^{11} +(0.353312 + 0.852971i) q^{12} +6.82755i q^{13} +(-1.34009 + 0.555082i) q^{14} +(1.62162 + 1.62162i) q^{15} +1.69032 q^{16} +(-3.44909 + 2.25915i) q^{17} +1.87986 q^{18} +(-4.38117 - 4.38117i) q^{19} +(-1.54027 + 0.638000i) q^{20} +1.50432i q^{21} +(-0.427211 - 1.03138i) q^{22} +(6.49424 + 2.69000i) q^{23} +(1.32115 - 3.18955i) q^{24} +(0.607259 - 0.607259i) q^{25} +(5.24600 - 5.24600i) q^{26} +(2.03987 - 4.92468i) q^{27} +(-1.01035 - 0.418501i) q^{28} +(-0.399603 - 0.964728i) q^{29} -2.49197i q^{30} +(0.647544 - 0.268221i) q^{31} +(3.03362 + 3.03362i) q^{32} -1.15778 q^{33} +(4.38597 + 0.914301i) q^{34} -2.71645 q^{35} +(1.00219 + 1.00219i) q^{36} +(8.78782 - 3.64003i) q^{37} +6.73261i q^{38} +(-2.94446 - 7.10856i) q^{39} +(5.75959 + 2.38570i) q^{40} +(-3.14765 + 7.59909i) q^{41} +(1.15586 - 1.15586i) q^{42} +(-0.707107 + 0.707107i) q^{43} +(0.322093 - 0.777600i) q^{44} +(3.25256 + 1.34726i) q^{45} +(-2.92302 - 7.05679i) q^{46} +10.7539i q^{47} +(-1.75989 + 0.728972i) q^{48} +(3.68977 + 3.68977i) q^{49} -0.933184 q^{50} +(2.61677 - 3.83959i) q^{51} +5.59348 q^{52} +(-6.10520 - 6.10520i) q^{53} +(-5.35127 + 2.21657i) q^{54} -2.09068i q^{55} +(1.56492 + 3.77804i) q^{56} +(6.45092 + 2.67206i) q^{57} +(-0.434218 + 1.04829i) q^{58} +(-3.98096 + 3.98096i) q^{59} +(1.32852 - 1.32852i) q^{60} +(-3.84843 + 9.29093i) q^{61} +(-0.703636 - 0.291455i) q^{62} +(0.883742 + 2.13354i) q^{63} -8.04245i q^{64} +(12.8364 - 5.31702i) q^{65} +(0.889588 + 0.889588i) q^{66} +8.01999 q^{67} +(1.85081 + 2.82568i) q^{68} -7.92163 q^{69} +(2.08721 + 2.08721i) q^{70} +(-8.03199 + 3.32696i) q^{71} -5.29980i q^{72} +(1.46165 + 3.52874i) q^{73} +(-9.54904 - 3.95534i) q^{74} +(-0.370365 + 0.894140i) q^{75} +(-3.58928 + 3.58928i) q^{76} +(0.969723 - 0.969723i) q^{77} +(-3.19952 + 7.72432i) q^{78} +(8.74016 + 3.62029i) q^{79} +(-1.31635 - 3.17796i) q^{80} +0.817081i q^{81} +(8.25734 - 3.42030i) q^{82} +(5.98063 + 5.98063i) q^{83} +1.23242 q^{84} +(6.93342 + 4.72527i) q^{85} +1.08662 q^{86} +(0.832100 + 0.832100i) q^{87} +(-2.90771 + 1.20441i) q^{88} +0.713282i q^{89} +(-1.46396 - 3.53431i) q^{90} +(8.42014 + 3.48774i) q^{91} +(2.20379 - 5.32042i) q^{92} +(-0.558522 + 0.558522i) q^{93} +(8.26286 - 8.26286i) q^{94} +(-4.82512 + 11.6489i) q^{95} +(-4.46676 - 1.85019i) q^{96} +(-6.91943 - 16.7050i) q^{97} -5.67013i q^{98} +(-1.64205 + 0.680159i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q + 4q^{2} + 4q^{3} + 8q^{5} - 12q^{6} + 4q^{7} - 4q^{8} + 8q^{9} + O(q^{10}) \) \( 128q + 4q^{2} + 4q^{3} + 8q^{5} - 12q^{6} + 4q^{7} - 4q^{8} + 8q^{9} - 8q^{10} - 4q^{11} + 12q^{12} + 12q^{14} - 12q^{15} - 144q^{16} - 12q^{17} + 64q^{18} - 28q^{19} - 8q^{20} - 12q^{22} + 16q^{23} - 16q^{24} - 20q^{25} + 16q^{26} - 8q^{27} + 20q^{28} + 12q^{31} - 4q^{32} - 104q^{33} + 20q^{34} + 32q^{35} - 96q^{36} - 12q^{37} + 8q^{39} + 216q^{40} + 24q^{41} - 4q^{42} + 24q^{44} - 28q^{45} - 48q^{46} + 28q^{48} - 80q^{50} - 20q^{51} + 56q^{52} - 36q^{53} - 12q^{54} - 8q^{56} + 72q^{57} - 32q^{58} + 48q^{59} - 40q^{60} - 76q^{61} - 44q^{62} + 36q^{65} - 68q^{66} - 48q^{67} + 32q^{68} + 216q^{69} - 196q^{70} + 4q^{71} + 20q^{73} + 88q^{74} + 80q^{75} + 72q^{76} + 28q^{77} - 120q^{78} + 68q^{79} - 68q^{80} + 28q^{82} - 36q^{83} - 152q^{84} + 28q^{85} - 24q^{86} - 56q^{87} + 20q^{88} - 112q^{90} + 96q^{91} - 28q^{92} + 24q^{93} - 36q^{94} - 108q^{95} + 272q^{96} + 8q^{97} - 20q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(e\left(\frac{7}{8}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.768358 0.768358i −0.543311 0.543311i 0.381187 0.924498i \(-0.375515\pi\)
−0.924498 + 0.381187i \(0.875515\pi\)
\(3\) −1.04116 + 0.431262i −0.601113 + 0.248989i −0.662423 0.749130i \(-0.730472\pi\)
0.0613105 + 0.998119i \(0.480472\pi\)
\(4\) 0.819252i 0.409626i
\(5\) −0.778759 1.88009i −0.348272 0.840802i −0.996824 0.0796323i \(-0.974625\pi\)
0.648553 0.761170i \(-0.275375\pi\)
\(6\) 1.13135 + 0.468619i 0.461870 + 0.191313i
\(7\) 0.510833 1.23326i 0.193077 0.466128i −0.797461 0.603371i \(-0.793824\pi\)
0.990537 + 0.137243i \(0.0438240\pi\)
\(8\) −2.16619 + 2.16619i −0.765866 + 0.765866i
\(9\) −1.22330 + 1.22330i −0.407766 + 0.407766i
\(10\) −0.846217 + 2.04295i −0.267597 + 0.646037i
\(11\) 0.949159 + 0.393155i 0.286182 + 0.118541i 0.521157 0.853461i \(-0.325501\pi\)
−0.234975 + 0.972002i \(0.575501\pi\)
\(12\) 0.353312 + 0.852971i 0.101992 + 0.246231i
\(13\) 6.82755i 1.89362i 0.321791 + 0.946811i \(0.395715\pi\)
−0.321791 + 0.946811i \(0.604285\pi\)
\(14\) −1.34009 + 0.555082i −0.358153 + 0.148352i
\(15\) 1.62162 + 1.62162i 0.418701 + 0.418701i
\(16\) 1.69032 0.422581
\(17\) −3.44909 + 2.25915i −0.836528 + 0.547924i
\(18\) 1.87986 0.443087
\(19\) −4.38117 4.38117i −1.00511 1.00511i −0.999987 0.00512219i \(-0.998370\pi\)
−0.00512219 0.999987i \(-0.501630\pi\)
\(20\) −1.54027 + 0.638000i −0.344414 + 0.142661i
\(21\) 1.50432i 0.328270i
\(22\) −0.427211 1.03138i −0.0910816 0.219890i
\(23\) 6.49424 + 2.69000i 1.35414 + 0.560905i 0.937443 0.348139i \(-0.113186\pi\)
0.416701 + 0.909044i \(0.363186\pi\)
\(24\) 1.32115 3.18955i 0.269679 0.651064i
\(25\) 0.607259 0.607259i 0.121452 0.121452i
\(26\) 5.24600 5.24600i 1.02883 1.02883i
\(27\) 2.03987 4.92468i 0.392573 0.947755i
\(28\) −1.01035 0.418501i −0.190938 0.0790892i
\(29\) −0.399603 0.964728i −0.0742045 0.179145i 0.882425 0.470453i \(-0.155910\pi\)
−0.956629 + 0.291308i \(0.905910\pi\)
\(30\) 2.49197i 0.454970i
\(31\) 0.647544 0.268221i 0.116302 0.0481740i −0.323773 0.946135i \(-0.604952\pi\)
0.440076 + 0.897961i \(0.354952\pi\)
\(32\) 3.03362 + 3.03362i 0.536273 + 0.536273i
\(33\) −1.15778 −0.201543
\(34\) 4.38597 + 0.914301i 0.752188 + 0.156801i
\(35\) −2.71645 −0.459165
\(36\) 1.00219 + 1.00219i 0.167031 + 0.167031i
\(37\) 8.78782 3.64003i 1.44471 0.598418i 0.483773 0.875193i \(-0.339266\pi\)
0.960935 + 0.276776i \(0.0892659\pi\)
\(38\) 6.73261i 1.09217i
\(39\) −2.94446 7.10856i −0.471491 1.13828i
\(40\) 5.75959 + 2.38570i 0.910671 + 0.377212i
\(41\) −3.14765 + 7.59909i −0.491580 + 1.18678i 0.462336 + 0.886705i \(0.347011\pi\)
−0.953916 + 0.300074i \(0.902989\pi\)
\(42\) 1.15586 1.15586i 0.178353 0.178353i
\(43\) −0.707107 + 0.707107i −0.107833 + 0.107833i
\(44\) 0.322093 0.777600i 0.0485573 0.117228i
\(45\) 3.25256 + 1.34726i 0.484863 + 0.200837i
\(46\) −2.92302 7.05679i −0.430976 1.04047i
\(47\) 10.7539i 1.56862i 0.620369 + 0.784310i \(0.286983\pi\)
−0.620369 + 0.784310i \(0.713017\pi\)
\(48\) −1.75989 + 0.728972i −0.254019 + 0.105218i
\(49\) 3.68977 + 3.68977i 0.527110 + 0.527110i
\(50\) −0.933184 −0.131972
\(51\) 2.61677 3.83959i 0.366420 0.537651i
\(52\) 5.59348 0.775677
\(53\) −6.10520 6.10520i −0.838613 0.838613i 0.150063 0.988676i \(-0.452052\pi\)
−0.988676 + 0.150063i \(0.952052\pi\)
\(54\) −5.35127 + 2.21657i −0.728215 + 0.301637i
\(55\) 2.09068i 0.281907i
\(56\) 1.56492 + 3.77804i 0.209121 + 0.504862i
\(57\) 6.45092 + 2.67206i 0.854445 + 0.353923i
\(58\) −0.434218 + 1.04829i −0.0570156 + 0.137648i
\(59\) −3.98096 + 3.98096i −0.518277 + 0.518277i −0.917050 0.398773i \(-0.869436\pi\)
0.398773 + 0.917050i \(0.369436\pi\)
\(60\) 1.32852 1.32852i 0.171511 0.171511i
\(61\) −3.84843 + 9.29093i −0.492741 + 1.18958i 0.460578 + 0.887619i \(0.347642\pi\)
−0.953320 + 0.301963i \(0.902358\pi\)
\(62\) −0.703636 0.291455i −0.0893618 0.0370149i
\(63\) 0.883742 + 2.13354i 0.111341 + 0.268801i
\(64\) 8.04245i 1.00531i
\(65\) 12.8364 5.31702i 1.59216 0.659495i
\(66\) 0.889588 + 0.889588i 0.109501 + 0.109501i
\(67\) 8.01999 0.979798 0.489899 0.871779i \(-0.337034\pi\)
0.489899 + 0.871779i \(0.337034\pi\)
\(68\) 1.85081 + 2.82568i 0.224444 + 0.342663i
\(69\) −7.92163 −0.953652
\(70\) 2.08721 + 2.08721i 0.249469 + 0.249469i
\(71\) −8.03199 + 3.32696i −0.953222 + 0.394837i −0.804441 0.594033i \(-0.797535\pi\)
−0.148781 + 0.988870i \(0.547535\pi\)
\(72\) 5.29980i 0.624587i
\(73\) 1.46165 + 3.52874i 0.171074 + 0.413008i 0.986042 0.166497i \(-0.0532457\pi\)
−0.814968 + 0.579506i \(0.803246\pi\)
\(74\) −9.54904 3.95534i −1.11005 0.459799i
\(75\) −0.370365 + 0.894140i −0.0427661 + 0.103246i
\(76\) −3.58928 + 3.58928i −0.411719 + 0.411719i
\(77\) 0.969723 0.969723i 0.110510 0.110510i
\(78\) −3.19952 + 7.72432i −0.362274 + 0.874607i
\(79\) 8.74016 + 3.62029i 0.983345 + 0.407315i 0.815664 0.578526i \(-0.196372\pi\)
0.167682 + 0.985841i \(0.446372\pi\)
\(80\) −1.31635 3.17796i −0.147173 0.355307i
\(81\) 0.817081i 0.0907867i
\(82\) 8.25734 3.42030i 0.911871 0.377709i
\(83\) 5.98063 + 5.98063i 0.656459 + 0.656459i 0.954540 0.298081i \(-0.0963466\pi\)
−0.298081 + 0.954540i \(0.596347\pi\)
\(84\) 1.23242 0.134468
\(85\) 6.93342 + 4.72527i 0.752035 + 0.512528i
\(86\) 1.08662 0.117174
\(87\) 0.832100 + 0.832100i 0.0892105 + 0.0892105i
\(88\) −2.90771 + 1.20441i −0.309963 + 0.128391i
\(89\) 0.713282i 0.0756078i 0.999285 + 0.0378039i \(0.0120362\pi\)
−0.999285 + 0.0378039i \(0.987964\pi\)
\(90\) −1.46396 3.53431i −0.154315 0.372549i
\(91\) 8.42014 + 3.48774i 0.882670 + 0.365614i
\(92\) 2.20379 5.32042i 0.229761 0.554692i
\(93\) −0.558522 + 0.558522i −0.0579160 + 0.0579160i
\(94\) 8.26286 8.26286i 0.852249 0.852249i
\(95\) −4.82512 + 11.6489i −0.495047 + 1.19515i
\(96\) −4.46676 1.85019i −0.455887 0.188834i
\(97\) −6.91943 16.7050i −0.702561 1.69613i −0.717800 0.696249i \(-0.754851\pi\)
0.0152389 0.999884i \(-0.495149\pi\)
\(98\) 5.67013i 0.572769i
\(99\) −1.64205 + 0.680159i −0.165032 + 0.0683585i
\(100\) −0.497498 0.497498i −0.0497498 0.0497498i
\(101\) 2.72560 0.271208 0.135604 0.990763i \(-0.456703\pi\)
0.135604 + 0.990763i \(0.456703\pi\)
\(102\) −4.96080 + 0.939571i −0.491192 + 0.0930314i
\(103\) 1.67712 0.165251 0.0826256 0.996581i \(-0.473669\pi\)
0.0826256 + 0.996581i \(0.473669\pi\)
\(104\) −14.7898 14.7898i −1.45026 1.45026i
\(105\) 2.82826 1.17150i 0.276010 0.114327i
\(106\) 9.38196i 0.911256i
\(107\) −1.76232 4.25461i −0.170370 0.411308i 0.815515 0.578736i \(-0.196454\pi\)
−0.985884 + 0.167428i \(0.946454\pi\)
\(108\) −4.03455 1.67117i −0.388225 0.160808i
\(109\) −3.70643 + 8.94811i −0.355011 + 0.857073i 0.640974 + 0.767562i \(0.278530\pi\)
−0.995986 + 0.0895111i \(0.971470\pi\)
\(110\) −1.60639 + 1.60639i −0.153163 + 0.153163i
\(111\) −7.57970 + 7.57970i −0.719433 + 0.719433i
\(112\) 0.863472 2.08461i 0.0815904 0.196977i
\(113\) 2.62758 + 1.08838i 0.247182 + 0.102386i 0.502835 0.864383i \(-0.332290\pi\)
−0.255653 + 0.966769i \(0.582290\pi\)
\(114\) −2.90352 7.00971i −0.271939 0.656520i
\(115\) 14.3046i 1.33391i
\(116\) −0.790355 + 0.327376i −0.0733826 + 0.0303961i
\(117\) −8.35212 8.35212i −0.772154 0.772154i
\(118\) 6.11760 0.563171
\(119\) 1.02421 + 5.40767i 0.0938891 + 0.495721i
\(120\) −7.02550 −0.641338
\(121\) −7.03184 7.03184i −0.639258 0.639258i
\(122\) 10.0957 4.18179i 0.914025 0.378602i
\(123\) 9.26931i 0.835786i
\(124\) −0.219741 0.530501i −0.0197333 0.0476404i
\(125\) −11.0151 4.56259i −0.985217 0.408090i
\(126\) 0.960294 2.31835i 0.0855498 0.206535i
\(127\) −5.90835 + 5.90835i −0.524281 + 0.524281i −0.918861 0.394580i \(-0.870890\pi\)
0.394580 + 0.918861i \(0.370890\pi\)
\(128\) −0.112250 + 0.112250i −0.00992158 + 0.00992158i
\(129\) 0.431262 1.04116i 0.0379705 0.0916689i
\(130\) −13.9483 5.77759i −1.22335 0.506728i
\(131\) 6.26167 + 15.1170i 0.547085 + 1.32078i 0.919638 + 0.392768i \(0.128482\pi\)
−0.372553 + 0.928011i \(0.621518\pi\)
\(132\) 0.948511i 0.0825573i
\(133\) −7.64116 + 3.16507i −0.662573 + 0.274447i
\(134\) −6.16222 6.16222i −0.532335 0.532335i
\(135\) −10.8474 −0.933597
\(136\) 2.57765 12.3652i 0.221031 1.06030i
\(137\) −1.16866 −0.0998450 −0.0499225 0.998753i \(-0.515897\pi\)
−0.0499225 + 0.998753i \(0.515897\pi\)
\(138\) 6.08665 + 6.08665i 0.518130 + 0.518130i
\(139\) 2.22735 0.922597i 0.188921 0.0782537i −0.286217 0.958165i \(-0.592398\pi\)
0.475138 + 0.879911i \(0.342398\pi\)
\(140\) 2.22546i 0.188086i
\(141\) −4.63775 11.1965i −0.390569 0.942918i
\(142\) 8.72774 + 3.61515i 0.732416 + 0.303376i
\(143\) −2.68428 + 6.48043i −0.224471 + 0.541921i
\(144\) −2.06777 + 2.06777i −0.172314 + 0.172314i
\(145\) −1.50258 + 1.50258i −0.124783 + 0.124783i
\(146\) 1.58827 3.83441i 0.131446 0.317338i
\(147\) −5.43289 2.25038i −0.448097 0.185608i
\(148\) −2.98210 7.19943i −0.245127 0.591790i
\(149\) 3.14470i 0.257624i 0.991669 + 0.128812i \(0.0411164\pi\)
−0.991669 + 0.128812i \(0.958884\pi\)
\(150\) 0.971593 0.402447i 0.0793302 0.0328596i
\(151\) 13.4098 + 13.4098i 1.09127 + 1.09127i 0.995393 + 0.0958819i \(0.0305671\pi\)
0.0958819 + 0.995393i \(0.469433\pi\)
\(152\) 18.9809 1.53956
\(153\) 1.45565 6.98288i 0.117683 0.564532i
\(154\) −1.49019 −0.120083
\(155\) −1.00856 1.00856i −0.0810096 0.0810096i
\(156\) −5.82370 + 2.41226i −0.466269 + 0.193135i
\(157\) 5.35539i 0.427406i 0.976899 + 0.213703i \(0.0685525\pi\)
−0.976899 + 0.213703i \(0.931447\pi\)
\(158\) −3.93389 9.49726i −0.312964 0.755561i
\(159\) 8.98942 + 3.72354i 0.712907 + 0.295296i
\(160\) 3.34102 8.06593i 0.264131 0.637668i
\(161\) 6.63494 6.63494i 0.522907 0.522907i
\(162\) 0.627810 0.627810i 0.0493254 0.0493254i
\(163\) 0.537380 1.29735i 0.0420908 0.101616i −0.901436 0.432912i \(-0.857486\pi\)
0.943527 + 0.331296i \(0.107486\pi\)
\(164\) 6.22557 + 2.57871i 0.486135 + 0.201364i
\(165\) 0.901630 + 2.17673i 0.0701918 + 0.169458i
\(166\) 9.19053i 0.713323i
\(167\) −8.10889 + 3.35881i −0.627485 + 0.259913i −0.673684 0.739020i \(-0.735289\pi\)
0.0461992 + 0.998932i \(0.485289\pi\)
\(168\) −3.25865 3.25865i −0.251410 0.251410i
\(169\) −33.6154 −2.58580
\(170\) −1.69665 8.95805i −0.130127 0.687051i
\(171\) 10.7189 0.819698
\(172\) 0.579299 + 0.579299i 0.0441711 + 0.0441711i
\(173\) −0.0277085 + 0.0114772i −0.00210664 + 0.000872598i −0.383737 0.923443i \(-0.625363\pi\)
0.381630 + 0.924315i \(0.375363\pi\)
\(174\) 1.27870i 0.0969381i
\(175\) −0.438700 1.05912i −0.0331626 0.0800616i
\(176\) 1.60439 + 0.664558i 0.120935 + 0.0500930i
\(177\) 2.42797 5.86164i 0.182498 0.440588i
\(178\) 0.548056 0.548056i 0.0410785 0.0410785i
\(179\) −15.7233 + 15.7233i −1.17522 + 1.17522i −0.194270 + 0.980948i \(0.562234\pi\)
−0.980948 + 0.194270i \(0.937766\pi\)
\(180\) 1.10374 2.66467i 0.0822680 0.198613i
\(181\) 2.80129 + 1.16033i 0.208218 + 0.0862468i 0.484355 0.874872i \(-0.339054\pi\)
−0.276137 + 0.961118i \(0.589054\pi\)
\(182\) −3.78985 9.14951i −0.280922 0.678207i
\(183\) 11.3330i 0.837760i
\(184\) −19.8949 + 8.24073i −1.46667 + 0.607514i
\(185\) −13.6872 13.6872i −1.00630 1.00630i
\(186\) 0.858289 0.0629328
\(187\) −4.16193 + 0.788267i −0.304351 + 0.0576438i
\(188\) 8.81017 0.642548
\(189\) −5.03138 5.03138i −0.365979 0.365979i
\(190\) 12.6579 5.24308i 0.918302 0.380373i
\(191\) 12.9671i 0.938263i 0.883128 + 0.469132i \(0.155433\pi\)
−0.883128 + 0.469132i \(0.844567\pi\)
\(192\) 3.46840 + 8.37346i 0.250310 + 0.604303i
\(193\) 3.19055 + 1.32157i 0.229661 + 0.0951286i 0.494546 0.869151i \(-0.335334\pi\)
−0.264886 + 0.964280i \(0.585334\pi\)
\(194\) −7.51880 + 18.1520i −0.539819 + 1.30324i
\(195\) −11.0717 + 11.0717i −0.792862 + 0.792862i
\(196\) 3.02285 3.02285i 0.215918 0.215918i
\(197\) −8.61022 + 20.7869i −0.613453 + 1.48101i 0.245730 + 0.969338i \(0.420972\pi\)
−0.859183 + 0.511668i \(0.829028\pi\)
\(198\) 1.78429 + 0.739076i 0.126804 + 0.0525238i
\(199\) 6.04812 + 14.6014i 0.428740 + 1.03507i 0.979688 + 0.200529i \(0.0642662\pi\)
−0.550948 + 0.834539i \(0.685734\pi\)
\(200\) 2.63088i 0.186031i
\(201\) −8.35008 + 3.45871i −0.588969 + 0.243959i
\(202\) −2.09424 2.09424i −0.147350 0.147350i
\(203\) −1.39389 −0.0978319
\(204\) −3.14560 2.14379i −0.220236 0.150095i
\(205\) 16.7382 1.16905
\(206\) −1.28863 1.28863i −0.0897828 0.0897828i
\(207\) −11.2351 + 4.65372i −0.780891 + 0.323456i
\(208\) 11.5408i 0.800208i
\(209\) −2.43595 5.88090i −0.168498 0.406791i
\(210\) −3.07325 1.27298i −0.212074 0.0878441i
\(211\) −1.89827 + 4.58283i −0.130682 + 0.315495i −0.975654 0.219316i \(-0.929617\pi\)
0.844972 + 0.534811i \(0.179617\pi\)
\(212\) −5.00169 + 5.00169i −0.343518 + 0.343518i
\(213\) 6.92778 6.92778i 0.474684 0.474684i
\(214\) −1.91497 + 4.62315i −0.130905 + 0.316032i
\(215\) 1.88009 + 0.778759i 0.128221 + 0.0531109i
\(216\) 6.24906 + 15.0866i 0.425195 + 1.02651i
\(217\) 0.935606i 0.0635130i
\(218\) 9.72322 4.02749i 0.658539 0.272776i
\(219\) −3.04363 3.04363i −0.205669 0.205669i
\(220\) −1.71279 −0.115476
\(221\) −15.4245 23.5489i −1.03756 1.58407i
\(222\) 11.6478 0.781752
\(223\) −3.17498 3.17498i −0.212612 0.212612i 0.592764 0.805376i \(-0.298037\pi\)
−0.805376 + 0.592764i \(0.798037\pi\)
\(224\) 5.29091 2.19156i 0.353514 0.146430i
\(225\) 1.48572i 0.0990477i
\(226\) −1.18266 2.85519i −0.0786692 0.189924i
\(227\) −17.8901 7.41031i −1.18741 0.491839i −0.300496 0.953783i \(-0.597152\pi\)
−0.886909 + 0.461944i \(0.847152\pi\)
\(228\) 2.18909 5.28493i 0.144976 0.350003i
\(229\) 16.4886 16.4886i 1.08960 1.08960i 0.0940291 0.995569i \(-0.470025\pi\)
0.995569 0.0940291i \(-0.0299747\pi\)
\(230\) −10.9911 + 10.9911i −0.724730 + 0.724730i
\(231\) −0.591430 + 1.42784i −0.0389133 + 0.0939449i
\(232\) 2.95541 + 1.22417i 0.194032 + 0.0803707i
\(233\) 4.53464 + 10.9476i 0.297074 + 0.717200i 0.999982 + 0.00591979i \(0.00188434\pi\)
−0.702908 + 0.711280i \(0.748116\pi\)
\(234\) 12.8348i 0.839040i
\(235\) 20.2183 8.37471i 1.31890 0.546306i
\(236\) 3.26141 + 3.26141i 0.212300 + 0.212300i
\(237\) −10.6612 −0.692519
\(238\) 3.36807 4.94199i 0.218320 0.320341i
\(239\) −24.1791 −1.56402 −0.782009 0.623267i \(-0.785805\pi\)
−0.782009 + 0.623267i \(0.785805\pi\)
\(240\) 2.74107 + 2.74107i 0.176935 + 0.176935i
\(241\) −13.2889 + 5.50446i −0.856015 + 0.354573i −0.767148 0.641470i \(-0.778325\pi\)
−0.0888674 + 0.996043i \(0.528325\pi\)
\(242\) 10.8059i 0.694632i
\(243\) 5.76723 + 13.9233i 0.369968 + 0.893182i
\(244\) 7.61162 + 3.15283i 0.487284 + 0.201840i
\(245\) 4.06366 9.81054i 0.259618 0.626773i
\(246\) −7.12215 + 7.12215i −0.454092 + 0.454092i
\(247\) 29.9127 29.9127i 1.90330 1.90330i
\(248\) −0.821686 + 1.98373i −0.0521771 + 0.125967i
\(249\) −8.80600 3.64756i −0.558057 0.231155i
\(250\) 4.95781 + 11.9692i 0.313559 + 0.757000i
\(251\) 4.82048i 0.304266i −0.988360 0.152133i \(-0.951386\pi\)
0.988360 0.152133i \(-0.0486142\pi\)
\(252\) 1.74791 0.724007i 0.110108 0.0456082i
\(253\) 5.10648 + 5.10648i 0.321042 + 0.321042i
\(254\) 9.07946 0.569696
\(255\) −9.25662 1.92964i −0.579672 0.120839i
\(256\) −15.9124 −0.994526
\(257\) −8.06842 8.06842i −0.503294 0.503294i 0.409166 0.912460i \(-0.365820\pi\)
−0.912460 + 0.409166i \(0.865820\pi\)
\(258\) −1.13135 + 0.468619i −0.0704345 + 0.0291749i
\(259\) 12.6971i 0.788959i
\(260\) −4.35598 10.5163i −0.270146 0.652190i
\(261\) 1.66898 + 0.691315i 0.103307 + 0.0427913i
\(262\) 6.80407 16.4265i 0.420357 1.01483i
\(263\) 6.89570 6.89570i 0.425207 0.425207i −0.461785 0.886992i \(-0.652791\pi\)
0.886992 + 0.461785i \(0.152791\pi\)
\(264\) 2.50797 2.50797i 0.154355 0.154355i
\(265\) −6.72385 + 16.2328i −0.413043 + 0.997173i
\(266\) 8.30306 + 3.43924i 0.509093 + 0.210873i
\(267\) −0.307611 0.742640i −0.0188255 0.0454488i
\(268\) 6.57039i 0.401350i
\(269\) −10.7253 + 4.44257i −0.653934 + 0.270868i −0.684883 0.728653i \(-0.740147\pi\)
0.0309496 + 0.999521i \(0.490147\pi\)
\(270\) 8.33470 + 8.33470i 0.507234 + 0.507234i
\(271\) −15.1548 −0.920589 −0.460294 0.887766i \(-0.652256\pi\)
−0.460294 + 0.887766i \(0.652256\pi\)
\(272\) −5.83008 + 3.81869i −0.353500 + 0.231542i
\(273\) −10.2708 −0.621618
\(274\) 0.897946 + 0.897946i 0.0542469 + 0.0542469i
\(275\) 0.815132 0.337639i 0.0491543 0.0203604i
\(276\) 6.48981i 0.390641i
\(277\) −4.26446 10.2953i −0.256226 0.618585i 0.742456 0.669894i \(-0.233661\pi\)
−0.998683 + 0.0513092i \(0.983661\pi\)
\(278\) −2.42028 1.00251i −0.145159 0.0601268i
\(279\) −0.464024 + 1.12025i −0.0277804 + 0.0670678i
\(280\) 5.88437 5.88437i 0.351658 0.351658i
\(281\) 9.09899 9.09899i 0.542800 0.542800i −0.381549 0.924349i \(-0.624609\pi\)
0.924349 + 0.381549i \(0.124609\pi\)
\(282\) −5.03949 + 12.1664i −0.300097 + 0.724499i
\(283\) 1.59002 + 0.658609i 0.0945171 + 0.0391503i 0.429441 0.903095i \(-0.358711\pi\)
−0.334924 + 0.942245i \(0.608711\pi\)
\(284\) 2.72562 + 6.58022i 0.161736 + 0.390464i
\(285\) 14.2092i 0.841681i
\(286\) 7.04178 2.91680i 0.416389 0.172474i
\(287\) 7.76373 + 7.76373i 0.458278 + 0.458278i
\(288\) −7.42203 −0.437347
\(289\) 6.79248 15.5840i 0.399557 0.916708i
\(290\) 2.30904 0.135591
\(291\) 14.4084 + 14.4084i 0.844637 + 0.844637i
\(292\) 2.89093 1.19746i 0.169179 0.0700762i
\(293\) 14.9146i 0.871320i −0.900111 0.435660i \(-0.856515\pi\)
0.900111 0.435660i \(-0.143485\pi\)
\(294\) 2.44531 + 5.90350i 0.142613 + 0.344299i
\(295\) 10.5848 + 4.38435i 0.616269 + 0.255267i
\(296\) −11.1511 + 26.9211i −0.648145 + 1.56476i
\(297\) 3.87232 3.87232i 0.224695 0.224695i
\(298\) 2.41626 2.41626i 0.139970 0.139970i
\(299\) −18.3661 + 44.3398i −1.06214 + 2.56424i
\(300\) 0.732526 + 0.303422i 0.0422924 + 0.0175181i
\(301\) 0.510833 + 1.23326i 0.0294439 + 0.0710839i
\(302\) 20.6071i 1.18580i
\(303\) −2.83778 + 1.17545i −0.163026 + 0.0675278i
\(304\) −7.40559 7.40559i −0.424740 0.424740i
\(305\) 20.4648 1.17181
\(306\) −6.48381 + 4.24689i −0.370655 + 0.242778i
\(307\) 26.8409 1.53189 0.765946 0.642905i \(-0.222271\pi\)
0.765946 + 0.642905i \(0.222271\pi\)
\(308\) −0.794447 0.794447i −0.0452678 0.0452678i
\(309\) −1.74614 + 0.723276i −0.0993346 + 0.0411458i
\(310\) 1.54987i 0.0880268i
\(311\) 0.729242 + 1.76055i 0.0413515 + 0.0998314i 0.943206 0.332209i \(-0.107794\pi\)
−0.901854 + 0.432040i \(0.857794\pi\)
\(312\) 21.7768 + 9.02025i 1.23287 + 0.510671i
\(313\) −6.19141 + 14.9474i −0.349959 + 0.844876i 0.646665 + 0.762774i \(0.276163\pi\)
−0.996624 + 0.0821015i \(0.973837\pi\)
\(314\) 4.11485 4.11485i 0.232215 0.232215i
\(315\) 3.32303 3.32303i 0.187232 0.187232i
\(316\) 2.96593 7.16040i 0.166847 0.402804i
\(317\) 28.8164 + 11.9361i 1.61849 + 0.670400i 0.993873 0.110531i \(-0.0352551\pi\)
0.624617 + 0.780931i \(0.285255\pi\)
\(318\) −4.04608 9.76810i −0.226893 0.547768i
\(319\) 1.07279i 0.0600645i
\(320\) −15.1205 + 6.26313i −0.845264 + 0.350120i
\(321\) 3.66970 + 3.66970i 0.204823 + 0.204823i
\(322\) −10.1960 −0.568202
\(323\) 25.0088 + 5.21334i 1.39153 + 0.290078i
\(324\) 0.669395 0.0371886
\(325\) 4.14609 + 4.14609i 0.229984 + 0.229984i
\(326\) −1.40973 + 0.583929i −0.0780776 + 0.0323408i
\(327\) 10.9148i 0.603592i
\(328\) −9.64269 23.2795i −0.532429 1.28540i
\(329\) 13.2624 + 5.49345i 0.731178 + 0.302864i
\(330\) 0.979731 2.36528i 0.0539324 0.130204i
\(331\) 17.4795 17.4795i 0.960761 0.960761i −0.0384974 0.999259i \(-0.512257\pi\)
0.999259 + 0.0384974i \(0.0122571\pi\)
\(332\) 4.89964 4.89964i 0.268903 0.268903i
\(333\) −6.29727 + 15.2029i −0.345088 + 0.833116i
\(334\) 8.81130 + 3.64976i 0.482133 + 0.199706i
\(335\) −6.24564 15.0783i −0.341236 0.823816i
\(336\) 2.54279i 0.138720i
\(337\) −22.8351 + 9.45863i −1.24391 + 0.515244i −0.904934 0.425551i \(-0.860080\pi\)
−0.338975 + 0.940795i \(0.610080\pi\)
\(338\) 25.8287 + 25.8287i 1.40490 + 1.40490i
\(339\) −3.20510 −0.174077
\(340\) 3.87119 5.68022i 0.209945 0.308053i
\(341\) 0.720075 0.0389942
\(342\) −8.23598 8.23598i −0.445351 0.445351i
\(343\) 15.0681 6.24142i 0.813601 0.337005i
\(344\) 3.06346i 0.165171i
\(345\) 6.16904 + 14.8934i 0.332130 + 0.801833i
\(346\) 0.0301087 + 0.0124714i 0.00161865 + 0.000670468i
\(347\) 11.3811 27.4765i 0.610971 1.47501i −0.250964 0.967996i \(-0.580748\pi\)
0.861935 0.507018i \(-0.169252\pi\)
\(348\) 0.681700 0.681700i 0.0365429 0.0365429i
\(349\) 14.2529 14.2529i 0.762941 0.762941i −0.213912 0.976853i \(-0.568621\pi\)
0.976853 + 0.213912i \(0.0686206\pi\)
\(350\) −0.476701 + 1.15086i −0.0254807 + 0.0615160i
\(351\) 33.6235 + 13.9273i 1.79469 + 0.743385i
\(352\) 1.68670 + 4.07207i 0.0899017 + 0.217042i
\(353\) 9.58660i 0.510243i 0.966909 + 0.255122i \(0.0821155\pi\)
−0.966909 + 0.255122i \(0.917884\pi\)
\(354\) −6.36939 + 2.63829i −0.338529 + 0.140223i
\(355\) 12.5100 + 12.5100i 0.663960 + 0.663960i
\(356\) 0.584358 0.0309709
\(357\) −3.39849 5.18854i −0.179867 0.274607i
\(358\) 24.1623 1.27702
\(359\) −14.2979 14.2979i −0.754614 0.754614i 0.220723 0.975337i \(-0.429158\pi\)
−0.975337 + 0.220723i \(0.929158\pi\)
\(360\) −9.96410 + 4.12727i −0.525154 + 0.217526i
\(361\) 19.3893i 1.02049i
\(362\) −1.26084 3.04394i −0.0662684 0.159986i
\(363\) 10.3538 + 4.28869i 0.543435 + 0.225098i
\(364\) 2.85733 6.89821i 0.149765 0.361565i
\(365\) 5.49608 5.49608i 0.287678 0.287678i
\(366\) −8.70781 + 8.70781i −0.455165 + 0.455165i
\(367\) −6.86821 + 16.5813i −0.358518 + 0.865538i 0.636991 + 0.770871i \(0.280179\pi\)
−0.995509 + 0.0946670i \(0.969821\pi\)
\(368\) 10.9774 + 4.54697i 0.572235 + 0.237027i
\(369\) −5.44544 13.1464i −0.283478 0.684377i
\(370\) 21.0333i 1.09347i
\(371\) −10.6480 + 4.41056i −0.552818 + 0.228985i
\(372\) 0.457570 + 0.457570i 0.0237239 + 0.0237239i
\(373\) −38.1201 −1.97378 −0.986892 0.161381i \(-0.948405\pi\)
−0.986892 + 0.161381i \(0.948405\pi\)
\(374\) 3.80353 + 2.59218i 0.196676 + 0.134039i
\(375\) 13.4361 0.693837
\(376\) −23.2951 23.2951i −1.20135 1.20135i
\(377\) 6.58673 2.72831i 0.339234 0.140515i
\(378\) 7.73180i 0.397681i
\(379\) 3.65955 + 8.83493i 0.187978 + 0.453820i 0.989570 0.144052i \(-0.0460133\pi\)
−0.801592 + 0.597872i \(0.796013\pi\)
\(380\) 9.54336 + 3.95299i 0.489564 + 0.202784i
\(381\) 3.60348 8.69957i 0.184612 0.445693i
\(382\) 9.96334 9.96334i 0.509769 0.509769i
\(383\) −9.06730 + 9.06730i −0.463317 + 0.463317i −0.899741 0.436424i \(-0.856245\pi\)
0.436424 + 0.899741i \(0.356245\pi\)
\(384\) 0.0684608 0.165279i 0.00349362 0.00843435i
\(385\) −2.57835 1.06799i −0.131405 0.0544296i
\(386\) −1.43605 3.46692i −0.0730928 0.176462i
\(387\) 1.73000i 0.0879410i
\(388\) −13.6856 + 5.66875i −0.694780 + 0.287787i
\(389\) −3.82094 3.82094i −0.193729 0.193729i 0.603576 0.797305i \(-0.293742\pi\)
−0.797305 + 0.603576i \(0.793742\pi\)
\(390\) 17.0141 0.861541
\(391\) −28.4764 + 5.39340i −1.44011 + 0.272756i
\(392\) −15.9855 −0.807391
\(393\) −13.0388 13.0388i −0.657719 0.657719i
\(394\) 22.5875 9.35606i 1.13794 0.471352i
\(395\) 19.2516i 0.968655i
\(396\) 0.557221 + 1.34525i 0.0280014 + 0.0676014i
\(397\) 29.4230 + 12.1874i 1.47670 + 0.611669i 0.968375 0.249497i \(-0.0802654\pi\)
0.508324 + 0.861166i \(0.330265\pi\)
\(398\) 6.57202 15.8663i 0.329425 0.795303i
\(399\) 6.59068 6.59068i 0.329947 0.329947i
\(400\) 1.02646 1.02646i 0.0513232 0.0513232i
\(401\) 9.63439 23.2595i 0.481119 1.16152i −0.477959 0.878382i \(-0.658623\pi\)
0.959078 0.283141i \(-0.0913766\pi\)
\(402\) 9.07338 + 3.75832i 0.452539 + 0.187448i
\(403\) 1.83130 + 4.42114i 0.0912233 + 0.220233i
\(404\) 2.23296i 0.111094i
\(405\) 1.53619 0.636309i 0.0763337 0.0316184i
\(406\) 1.07101 + 1.07101i 0.0531531 + 0.0531531i
\(407\) 9.77213 0.484387
\(408\) 2.64889 + 13.9857i 0.131139 + 0.692397i
\(409\) −30.1326 −1.48996 −0.744981 0.667086i \(-0.767542\pi\)
−0.744981 + 0.667086i \(0.767542\pi\)
\(410\) −12.8610 12.8610i −0.635157 0.635157i
\(411\) 1.21676 0.503996i 0.0600181 0.0248603i
\(412\) 1.37398i 0.0676912i
\(413\) 2.87595 + 6.94316i 0.141516 + 0.341650i
\(414\) 12.2083 + 5.05683i 0.600004 + 0.248530i
\(415\) 6.58665 15.9016i 0.323326 0.780578i
\(416\) −20.7122 + 20.7122i −1.01550 + 1.01550i
\(417\) −1.92114 + 1.92114i −0.0940786 + 0.0940786i
\(418\) −2.64696 + 6.39032i −0.129467 + 0.312561i
\(419\) 20.3910 + 8.44623i 0.996166 + 0.412625i 0.820390 0.571805i \(-0.193757\pi\)
0.175776 + 0.984430i \(0.443757\pi\)
\(420\) −0.959756 2.31706i −0.0468313 0.113061i
\(421\) 34.7655i 1.69437i −0.531302 0.847183i \(-0.678297\pi\)
0.531302 0.847183i \(-0.321703\pi\)
\(422\) 4.97980 2.06270i 0.242413 0.100411i
\(423\) −13.1552 13.1552i −0.639629 0.639629i
\(424\) 26.4501 1.28453
\(425\) −0.722603 + 3.46638i −0.0350514 + 0.168144i
\(426\) −10.6460 −0.515802
\(427\) 9.49223 + 9.49223i 0.459361 + 0.459361i
\(428\) −3.48560 + 1.44378i −0.168483 + 0.0697878i
\(429\) 7.90478i 0.381647i
\(430\) −0.846217 2.04295i −0.0408082 0.0985197i
\(431\) 20.9192 + 8.66503i 1.00764 + 0.417380i 0.824595 0.565724i \(-0.191403\pi\)
0.183049 + 0.983104i \(0.441403\pi\)
\(432\) 3.44804 8.32430i 0.165894 0.400503i
\(433\) −7.50111 + 7.50111i −0.360480 + 0.360480i −0.863990 0.503509i \(-0.832042\pi\)
0.503509 + 0.863990i \(0.332042\pi\)
\(434\) −0.718880 + 0.718880i −0.0345073 + 0.0345073i
\(435\) 0.916418 2.21243i 0.0439389 0.106078i
\(436\) 7.33076 + 3.03650i 0.351079 + 0.145422i
\(437\) −16.6670 40.2377i −0.797292 1.92483i
\(438\) 4.67719i 0.223485i
\(439\) −12.7863 + 5.29628i −0.610259 + 0.252778i −0.666339 0.745649i \(-0.732140\pi\)
0.0560802 + 0.998426i \(0.482140\pi\)
\(440\) 4.52882 + 4.52882i 0.215903 + 0.215903i
\(441\) −9.02737 −0.429875
\(442\) −6.24244 + 29.9455i −0.296923 + 1.42436i
\(443\) 20.2209 0.960722 0.480361 0.877071i \(-0.340506\pi\)
0.480361 + 0.877071i \(0.340506\pi\)
\(444\) 6.20968 + 6.20968i 0.294698 + 0.294698i
\(445\) 1.34104 0.555475i 0.0635712 0.0263320i
\(446\) 4.87904i 0.231029i
\(447\) −1.35619 3.27413i −0.0641456 0.154861i
\(448\) −9.91843 4.10835i −0.468602 0.194101i
\(449\) −10.4123 + 25.1374i −0.491385 + 1.18631i 0.462630 + 0.886551i \(0.346906\pi\)
−0.954015 + 0.299758i \(0.903094\pi\)
\(450\) 1.14156 1.14156i 0.0538137 0.0538137i
\(451\) −5.97523 + 5.97523i −0.281363 + 0.281363i
\(452\) 0.891657 2.15265i 0.0419400 0.101252i
\(453\) −19.7449 8.17859i −0.927695 0.384264i
\(454\) 8.05221 + 19.4397i 0.377909 + 0.912352i
\(455\) 18.5467i 0.869484i
\(456\) −19.7622 + 8.18575i −0.925447 + 0.383333i
\(457\) 23.3518 + 23.3518i 1.09235 + 1.09235i 0.995277 + 0.0970741i \(0.0309484\pi\)
0.0970741 + 0.995277i \(0.469052\pi\)
\(458\) −25.3383 −1.18398
\(459\) 4.08990 + 21.5941i 0.190900 + 1.00792i
\(460\) −11.7191 −0.546406
\(461\) −4.88646 4.88646i −0.227585 0.227585i 0.584098 0.811683i \(-0.301448\pi\)
−0.811683 + 0.584098i \(0.801448\pi\)
\(462\) 1.55152 0.642662i 0.0721834 0.0298993i
\(463\) 31.0809i 1.44445i −0.691657 0.722226i \(-0.743119\pi\)
0.691657 0.722226i \(-0.256881\pi\)
\(464\) −0.675458 1.63070i −0.0313574 0.0757034i
\(465\) 1.48503 + 0.615118i 0.0688664 + 0.0285254i
\(466\) 4.92744 11.8959i 0.228259 0.551066i
\(467\) 10.1969 10.1969i 0.471855 0.471855i −0.430659 0.902515i \(-0.641719\pi\)
0.902515 + 0.430659i \(0.141719\pi\)
\(468\) −6.84249 + 6.84249i −0.316294 + 0.316294i
\(469\) 4.09687 9.89072i 0.189176 0.456711i
\(470\) −21.9697 9.10015i −1.01339 0.419759i
\(471\) −2.30957 5.57580i −0.106420 0.256919i
\(472\) 17.2471i 0.793860i
\(473\) −0.949159 + 0.393155i −0.0436424 + 0.0180773i
\(474\) 8.19161 + 8.19161i 0.376253 + 0.376253i
\(475\) −5.32101 −0.244145
\(476\) 4.43025 0.839085i 0.203060 0.0384594i
\(477\) 14.9369 0.683915
\(478\) 18.5782 + 18.5782i 0.849748 + 0.849748i
\(479\) 24.8283 10.2842i 1.13444 0.469898i 0.265149 0.964207i \(-0.414579\pi\)
0.869286 + 0.494309i \(0.164579\pi\)
\(480\) 9.83876i 0.449076i
\(481\) 24.8525 + 59.9992i 1.13318 + 2.73573i
\(482\) 14.4400 + 5.98126i 0.657726 + 0.272439i
\(483\) −4.04663 + 9.76942i −0.184128 + 0.444524i
\(484\) −5.76085 + 5.76085i −0.261857 + 0.261857i
\(485\) −26.0183 + 26.0183i −1.18143 + 1.18143i
\(486\) 6.26680 15.1294i 0.284268 0.686284i
\(487\) 7.39486 + 3.06305i 0.335093 + 0.138800i 0.543884 0.839160i \(-0.316953\pi\)
−0.208791 + 0.977960i \(0.566953\pi\)
\(488\) −11.7895 28.4624i −0.533687 1.28843i
\(489\) 1.58250i 0.0715630i
\(490\) −10.6604 + 4.41566i −0.481586 + 0.199479i
\(491\) −22.6835 22.6835i −1.02369 1.02369i −0.999712 0.0239799i \(-0.992366\pi\)
−0.0239799 0.999712i \(-0.507634\pi\)
\(492\) −7.59390 −0.342360
\(493\) 3.55773 + 2.42467i 0.160232 + 0.109202i
\(494\) −45.9673 −2.06816
\(495\) 2.55752 + 2.55752i 0.114952 + 0.114952i
\(496\) 1.09456 0.453381i 0.0491471 0.0203574i
\(497\) 11.6050i 0.520557i
\(498\) 3.96352 + 9.56879i 0.177610 + 0.428788i
\(499\) 16.8113 + 6.96348i 0.752578 + 0.311728i 0.725793 0.687913i \(-0.241473\pi\)
0.0267852 + 0.999641i \(0.491473\pi\)
\(500\) −3.73791 + 9.02411i −0.167164 + 0.403571i
\(501\) 6.99411 6.99411i 0.312474 0.312474i
\(502\) −3.70386 + 3.70386i −0.165311 + 0.165311i
\(503\) −2.24680 + 5.42425i −0.100180 + 0.241855i −0.966021 0.258463i \(-0.916784\pi\)
0.865841 + 0.500319i \(0.166784\pi\)
\(504\) −6.53603 2.70731i −0.291138 0.120593i
\(505\) −2.12259 5.12438i −0.0944540 0.228032i
\(506\) 7.84722i 0.348851i
\(507\) 34.9990 14.4971i 1.55436 0.643837i
\(508\) 4.84043 + 4.84043i 0.214759 + 0.214759i
\(509\) 9.10709 0.403665 0.201832 0.979420i \(-0.435310\pi\)
0.201832 + 0.979420i \(0.435310\pi\)
\(510\) 5.62974 + 8.59505i 0.249289 + 0.380595i
\(511\) 5.09852 0.225545
\(512\) 12.4509 + 12.4509i 0.550258 + 0.550258i
\(513\) −30.5129 + 12.6388i −1.34718 + 0.558019i
\(514\) 12.3989i 0.546891i
\(515\) −1.30607 3.15313i −0.0575523 0.138944i
\(516\) −0.852971 0.353312i −0.0375499 0.0155537i
\(517\) −4.22795 + 10.2072i −0.185945 + 0.448911i
\(518\) −9.75592 + 9.75592i −0.428650 + 0.428650i
\(519\) 0.0238992 0.0238992i 0.00104906 0.00104906i
\(520\) −16.2885 + 39.3239i −0.714297 + 1.72447i
\(521\) −33.3849 13.8285i −1.46262 0.605837i −0.497457 0.867489i \(-0.665733\pi\)
−0.965162 + 0.261652i \(0.915733\pi\)
\(522\) −0.751198 1.81355i −0.0328790 0.0793770i
\(523\) 12.3740i 0.541078i 0.962709 + 0.270539i \(0.0872019\pi\)
−0.962709 + 0.270539i \(0.912798\pi\)
\(524\) 12.3846 5.12988i 0.541025 0.224100i
\(525\) 0.913512 + 0.913512i 0.0398689 + 0.0398689i
\(526\) −10.5967 −0.462039
\(527\) −1.62749 + 2.38802i −0.0708944 + 0.104024i
\(528\) −1.95702 −0.0851682
\(529\) 18.6756 + 18.6756i 0.811984 + 0.811984i
\(530\) 17.6389 7.30628i 0.766186 0.317365i
\(531\) 9.73979i 0.422671i
\(532\) 2.59299 + 6.26004i 0.112420 + 0.271407i
\(533\) −51.8832 21.4907i −2.24731 0.930866i
\(534\) −0.334257 + 0.806969i −0.0144647 + 0.0349210i
\(535\) −6.62663 + 6.62663i −0.286494 + 0.286494i
\(536\) −17.3729 + 17.3729i −0.750393 + 0.750393i
\(537\) 9.58961 23.1514i 0.413822 0.999055i
\(538\) 11.6544 + 4.82739i 0.502455 + 0.208124i
\(539\) 2.05153 + 4.95283i 0.0883656 + 0.213333i
\(540\) 8.88676i 0.382425i
\(541\) −30.6688 + 12.7034i −1.31856 + 0.546164i −0.927369 0.374148i \(-0.877935\pi\)
−0.391187 + 0.920311i \(0.627935\pi\)
\(542\) 11.6443 + 11.6443i 0.500166 + 0.500166i
\(543\) −3.41699 −0.146637
\(544\) −17.3166 3.60983i −0.742444 0.154770i
\(545\) 19.7097 0.844270
\(546\) 7.89167 + 7.89167i 0.337732 + 0.337732i
\(547\) −14.1489 + 5.86066i −0.604963 + 0.250584i −0.664073 0.747668i \(-0.731174\pi\)
0.0591103 + 0.998251i \(0.481174\pi\)
\(548\) 0.957423i 0.0408991i
\(549\) −6.65780 16.0733i −0.284148 0.685994i
\(550\) −0.885741 0.366886i −0.0377681 0.0156441i
\(551\) −2.47591 + 5.97736i −0.105477 + 0.254644i
\(552\) 17.1598 17.1598i 0.730369 0.730369i
\(553\) 8.92952 8.92952i 0.379722 0.379722i
\(554\) −4.63385 + 11.1871i −0.196874 + 0.475295i
\(555\) 20.1533 + 8.34776i 0.855459 + 0.354343i
\(556\) −0.755839 1.82476i −0.0320547 0.0773870i
\(557\) 39.4081i 1.66978i −0.550421 0.834888i \(-0.685533\pi\)
0.550421 0.834888i \(-0.314467\pi\)
\(558\) 1.21729 0.504219i 0.0515321 0.0213453i
\(559\) −4.82781 4.82781i −0.204194 0.204194i
\(560\) −4.59168 −0.194034
\(561\) 3.99328 2.61559i 0.168596 0.110430i
\(562\) −13.9826 −0.589819
\(563\) 17.5304 + 17.5304i 0.738818 + 0.738818i 0.972349 0.233532i \(-0.0750282\pi\)
−0.233532 + 0.972349i \(0.575028\pi\)
\(564\) −9.17278 + 3.79949i −0.386244 + 0.159987i
\(565\) 5.78768i 0.243489i
\(566\) −0.715660 1.72775i −0.0300814 0.0726230i
\(567\) 1.00767 + 0.417391i 0.0423182 + 0.0175288i
\(568\) 10.1920 24.6057i 0.427647 1.03243i
\(569\) 13.5159 13.5159i 0.566616 0.566616i −0.364563 0.931179i \(-0.618781\pi\)
0.931179 + 0.364563i \(0.118781\pi\)
\(570\) −10.9178 + 10.9178i −0.457294 + 0.457294i
\(571\) 7.94665 19.1849i 0.332557 0.802863i −0.665831 0.746103i \(-0.731923\pi\)
0.998388 0.0567606i \(-0.0180772\pi\)
\(572\) 5.30911 + 2.19910i 0.221985 + 0.0919491i
\(573\) −5.59220 13.5008i −0.233617 0.564002i
\(574\) 11.9306i 0.497975i
\(575\) 5.57722 2.31016i 0.232586 0.0963403i
\(576\) 9.83831 + 9.83831i 0.409929 + 0.409929i
\(577\) 24.3692 1.01450 0.507251 0.861799i \(-0.330662\pi\)
0.507251 + 0.861799i \(0.330662\pi\)
\(578\) −17.1932 + 6.75507i −0.715142 + 0.280974i
\(579\) −3.89181 −0.161738
\(580\) 1.23099 + 1.23099i 0.0511142 + 0.0511142i
\(581\) 10.4308 4.32056i 0.432741 0.179247i
\(582\) 22.1417i 0.917802i
\(583\) −3.39452 8.19509i −0.140587 0.339406i
\(584\) −10.8102 4.47772i −0.447328 0.185289i
\(585\) −9.19845 + 22.2070i −0.380309 + 0.918148i
\(586\) −11.4597 + 11.4597i −0.473398 + 0.473398i
\(587\) −6.86797 + 6.86797i −0.283471 + 0.283471i −0.834492 0.551020i \(-0.814239\pi\)
0.551020 + 0.834492i \(0.314239\pi\)
\(588\) −1.84363 + 4.45091i −0.0760298 + 0.183552i
\(589\) −4.01212 1.66188i −0.165317 0.0684764i
\(590\) −4.76414 11.5016i −0.196136 0.473515i
\(591\) 25.3557i 1.04300i
\(592\) 14.8542 6.15283i 0.610506 0.252880i
\(593\) 4.22955 + 4.22955i 0.173687 + 0.173687i 0.788597 0.614910i \(-0.210808\pi\)
−0.614910 + 0.788597i \(0.710808\pi\)
\(594\) −5.95066 −0.244159
\(595\) 9.36930 6.13688i 0.384104 0.251588i
\(596\) 2.57630 0.105529
\(597\) −12.5941 12.5941i −0.515442 0.515442i
\(598\) 48.1806 19.9571i 1.97025 0.816105i
\(599\) 0.751489i 0.0307050i −0.999882 0.0153525i \(-0.995113\pi\)
0.999882 0.0153525i \(-0.00488705\pi\)
\(600\) −1.13460 2.73916i −0.0463198 0.111826i
\(601\) −1.47208 0.609754i −0.0600472 0.0248724i 0.352458 0.935828i \(-0.385346\pi\)
−0.412505 + 0.910955i \(0.635346\pi\)
\(602\) 0.555082 1.34009i 0.0226235 0.0546179i
\(603\) −9.81083 + 9.81083i −0.399528 + 0.399528i
\(604\) 10.9860 10.9860i 0.447014 0.447014i
\(605\) −7.74439 + 18.6966i −0.314854 + 0.760125i
\(606\) 3.08360 + 1.27727i 0.125263 + 0.0518855i
\(607\) 14.3716 + 34.6960i 0.583324 + 1.40827i 0.889782 + 0.456385i \(0.150856\pi\)
−0.306458 + 0.951884i \(0.599144\pi\)
\(608\) 26.5816i 1.07803i
\(609\) 1.45126 0.601131i 0.0588080 0.0243591i
\(610\) −15.7243 15.7243i −0.636658 0.636658i
\(611\) −73.4229 −2.97037
\(612\) −5.72073 1.19255i −0.231247 0.0482058i
\(613\) 26.7468 1.08029 0.540147 0.841570i \(-0.318368\pi\)
0.540147 + 0.841570i \(0.318368\pi\)
\(614\) −20.6234 20.6234i −0.832294 0.832294i
\(615\) −17.4271 + 7.21856i −0.702730 + 0.291080i
\(616\) 4.20122i 0.169272i
\(617\) 10.6843 + 25.7941i 0.430133 + 1.03843i 0.979244 + 0.202683i \(0.0649661\pi\)
−0.549112 + 0.835749i \(0.685034\pi\)
\(618\) 1.89740 + 0.785928i 0.0763246 + 0.0316147i
\(619\) 10.7004 25.8330i 0.430085 1.03832i −0.549174 0.835708i \(-0.685058\pi\)
0.979260 0.202610i \(-0.0649423\pi\)
\(620\) −0.826266 + 0.826266i −0.0331836 + 0.0331836i
\(621\) 26.4948 26.4948i 1.06320 1.06320i
\(622\) 0.792411 1.91305i 0.0317728 0.0767063i
\(623\) 0.879662 + 0.364368i 0.0352429 + 0.0145981i
\(624\) −4.97709 12.0158i −0.199243 0.481015i
\(625\) 19.9685i 0.798740i
\(626\) 16.2422 6.72772i 0.649167 0.268894i
\(627\) 5.07242 + 5.07242i 0.202573 + 0.202573i
\(628\) 4.38741 0.175077
\(629\) −22.0866 + 32.4078i −0.880651 + 1.29218i
\(630\) −5.10655 −0.203450
\(631\) −14.2654 14.2654i −0.567897 0.567897i 0.363642 0.931539i \(-0.381533\pi\)
−0.931539 + 0.363642i \(0.881533\pi\)
\(632\) −26.7752 + 11.0906i −1.06506 + 0.441162i
\(633\) 5.59010i 0.222186i
\(634\) −12.9701 31.3125i −0.515108 1.24358i
\(635\) 15.7094 + 6.50705i 0.623409 + 0.258224i
\(636\) 3.05052 7.36460i 0.120961 0.292025i
\(637\) −25.1921 + 25.1921i −0.998147 + 0.998147i
\(638\) −0.824284 + 0.824284i −0.0326337 + 0.0326337i
\(639\) 5.75565 13.8954i 0.227690 0.549692i
\(640\) 0.298455 + 0.123624i 0.0117975 + 0.00488668i
\(641\) −2.10423 5.08006i −0.0831120 0.200650i 0.876860 0.480745i \(-0.159634\pi\)
−0.959972 + 0.280095i \(0.909634\pi\)
\(642\) 5.63929i 0.222565i
\(643\) −8.24529 + 3.41531i −0.325163 + 0.134687i −0.539293 0.842118i \(-0.681308\pi\)
0.214130 + 0.976805i \(0.431308\pi\)
\(644\) −5.43569 5.43569i −0.214196 0.214196i
\(645\) −2.29332 −0.0902994
\(646\) −15.2100 23.2214i −0.598429 0.913634i
\(647\) 32.6336 1.28296 0.641479 0.767140i \(-0.278321\pi\)
0.641479 + 0.767140i \(0.278321\pi\)
\(648\) −1.76996 1.76996i −0.0695304 0.0695304i
\(649\) −5.34370 + 2.21343i −0.209758 + 0.0868848i
\(650\) 6.37136i 0.249905i
\(651\) 0.403491 + 0.974113i 0.0158141 + 0.0381785i
\(652\) −1.06286 0.440249i −0.0416246 0.0172415i
\(653\) −4.81334 + 11.6204i −0.188361 + 0.454743i −0.989644 0.143542i \(-0.954151\pi\)
0.801284 + 0.598285i \(0.204151\pi\)
\(654\) −8.38650 + 8.38650i −0.327938 + 0.327938i
\(655\) 23.5450 23.5450i 0.919980 0.919980i
\(656\) −5.32054 + 12.8449i −0.207732 + 0.501510i
\(657\) −6.10474 2.52867i −0.238169 0.0986526i
\(658\) −5.96931 14.4112i −0.232708 0.561807i
\(659\) 28.9676i 1.12842i 0.825632 + 0.564209i \(0.190819\pi\)
−0.825632 + 0.564209i \(0.809181\pi\)
\(660\) 1.78329 0.738662i 0.0694144 0.0287524i
\(661\) −6.66406 6.66406i −0.259202 0.259202i 0.565528 0.824729i \(-0.308673\pi\)
−0.824729 + 0.565528i \(0.808673\pi\)
\(662\) −26.8611 −1.04398
\(663\) 26.2150 + 17.8661i 1.01811 + 0.693862i
\(664\) −25.9104 −1.00552
\(665\) 11.9012 + 11.9012i 0.461511 + 0.461511i
\(666\) 16.5199 6.84275i 0.640132 0.265151i
\(667\) 7.34011i 0.284210i
\(668\) 2.75171 + 6.64322i 0.106467 + 0.257034i
\(669\) 4.67490 + 1.93641i 0.180742 + 0.0748659i
\(670\) −6.78665 + 16.3844i −0.262191 + 0.632986i
\(671\) −7.30555 + 7.30555i −0.282028 + 0.282028i
\(672\) −4.56353 + 4.56353i −0.176042 + 0.176042i
\(673\) −2.91096 + 7.02768i −0.112209 + 0.270897i −0.970001 0.243100i \(-0.921836\pi\)
0.857792 + 0.513997i \(0.171836\pi\)
\(674\) 24.8132 + 10.2780i 0.955768 + 0.395892i
\(675\) −1.75183 4.22929i −0.0674279 0.162785i
\(676\) 27.5395i 1.05921i
\(677\) 15.9916 6.62393i 0.614606 0.254578i −0.0535905 0.998563i \(-0.517067\pi\)
0.668196 + 0.743985i \(0.267067\pi\)
\(678\) 2.46267 + 2.46267i 0.0945782 + 0.0945782i
\(679\) −24.1362 −0.926263
\(680\) −25.2550 + 4.78328i −0.968485 + 0.183430i
\(681\) 21.8222 0.836227
\(682\) −0.553275 0.553275i −0.0211860 0.0211860i
\(683\) 0.0669678 0.0277390i 0.00256245 0.00106140i −0.381402 0.924409i \(-0.624559\pi\)
0.383964 + 0.923348i \(0.374559\pi\)
\(684\) 8.78151i 0.335769i
\(685\) 0.910101 + 2.19718i 0.0347732 + 0.0839499i
\(686\) −16.3733 6.78206i −0.625137 0.258940i
\(687\) −10.0563 + 24.2782i −0.383674 + 0.926270i
\(688\) −1.19524 + 1.19524i −0.0455680 + 0.0455680i
\(689\) 41.6835 41.6835i 1.58802 1.58802i
\(690\) 6.70342 16.1835i 0.255195 0.616095i
\(691\) −36.8011 15.2435i −1.39998 0.579890i −0.450232 0.892912i \(-0.648659\pi\)
−0.949746 + 0.313022i \(0.898659\pi\)
\(692\) 0.00940275 + 0.0227002i 0.000357439 + 0.000862934i
\(693\) 2.37252i 0.0901245i
\(694\) −29.8566 + 12.3670i −1.13334 + 0.469445i
\(695\) −3.46913 3.46913i −0.131592 0.131592i
\(696\) −3.60498 −0.136647
\(697\) −6.31097 33.3210i −0.239045 1.26212i
\(698\) −21.9027 −0.829028
\(699\) −9.44255 9.44255i −0.357150 0.357150i
\(700\) −0.867682 + 0.359406i −0.0327953 + 0.0135843i
\(701\) 2.27625i 0.0859726i 0.999076 + 0.0429863i \(0.0136872\pi\)
−0.999076 + 0.0429863i \(0.986313\pi\)
\(702\) −15.1337 36.5361i −0.571186 1.37896i
\(703\) −54.4485 22.5533i −2.05356 0.850614i
\(704\) 3.16193 7.63357i 0.119170 0.287701i
\(705\) −17.4388 + 17.4388i −0.656783 + 0.656783i
\(706\) 7.36594 7.36594i 0.277221 0.277221i
\(707\) 1.39233 3.36138i 0.0523639 0.126418i
\(708\) −4.80216 1.98912i −0.180476 0.0747557i
\(709\) −14.1515 34.1647i −0.531470 1.28308i −0.930550 0.366166i \(-0.880670\pi\)
0.399080 0.916916i \(-0.369330\pi\)
\(710\) 19.2243i 0.721474i
\(711\) −15.1205 + 6.26312i −0.567063 + 0.234885i
\(712\) −1.54511 1.54511i −0.0579054 0.0579054i
\(713\) 4.92682 0.184511
\(714\) −1.37540 + 6.59791i −0.0514731 + 0.246921i
\(715\) 14.2742 0.533825
\(716\) 12.8814 + 12.8814i 0.481400 + 0.481400i
\(717\) 25.1743 10.4275i 0.940151 0.389423i
\(718\) 21.9718i 0.819980i
\(719\) 5.00659 + 12.0870i 0.186714 + 0.450768i 0.989323 0.145737i \(-0.0465554\pi\)
−0.802609 + 0.596505i \(0.796555\pi\)
\(720\) 5.49788 + 2.27730i 0.204894 + 0.0848698i
\(721\) 0.856726 2.06832i 0.0319061 0.0770282i
\(722\) 14.8979 14.8979i 0.554443 0.554443i
\(723\) 11.4620 11.4620i 0.426277 0.426277i
\(724\) 0.950605 2.29496i 0.0353289 0.0852916i
\(725\) −0.828502 0.343177i −0.0307698 0.0127453i
\(726\) −4.66019 11.2507i −0.172956 0.417553i
\(727\) 0.0356225i 0.00132116i −1.00000 0.000660582i \(-0.999790\pi\)
1.00000 0.000660582i \(-0.000210270\pi\)
\(728\) −25.7948 + 10.6845i −0.956018 + 0.395996i
\(729\) −13.7425 13.7425i −0.508981 0.508981i
\(730\) −8.44592 −0.312597
\(731\) 0.841416 4.03634i 0.0311209 0.149289i
\(732\) −9.28459 −0.343168
\(733\) 9.45583 + 9.45583i 0.349259 + 0.349259i 0.859833 0.510575i \(-0.170567\pi\)
−0.510575 + 0.859833i \(0.670567\pi\)
\(734\) 18.0176 7.46315i 0.665043 0.275470i
\(735\) 11.9668i 0.441403i
\(736\) 11.5406 + 27.8615i 0.425392 + 1.02699i
\(737\) 7.61225 + 3.15310i 0.280401 + 0.116146i
\(738\) −5.91713 + 14.2852i −0.217813 + 0.525846i
\(739\) 4.74871 4.74871i 0.174684 0.174684i −0.614350 0.789034i \(-0.710582\pi\)
0.789034 + 0.614350i \(0.210582\pi\)
\(740\) −11.2132 + 11.2132i −0.412207 + 0.412207i
\(741\) −18.2436 + 44.0440i −0.670196 + 1.61800i
\(742\) 11.5704 + 4.79261i 0.424762 + 0.175942i
\(743\) −3.97732 9.60210i −0.145914 0.352267i 0.833978 0.551798i \(-0.186058\pi\)
−0.979891 + 0.199531i \(0.936058\pi\)
\(744\) 2.41973i 0.0887118i
\(745\) 5.91232 2.44896i 0.216611 0.0897231i
\(746\) 29.2899 + 29.2899i 1.07238 + 1.07238i
\(747\) −14.6322 −0.535363
\(748\) 0.645789 + 3.40967i 0.0236124 + 0.124670i
\(749\) −6.14728 −0.224617
\(750\) −10.3237 10.3237i −0.376969 0.376969i
\(751\) −2.13953 + 0.886222i −0.0780725 + 0.0323387i −0.421378 0.906885i \(-0.638453\pi\)
0.343305 + 0.939224i \(0.388453\pi\)
\(752\) 18.1776i 0.662869i
\(753\) 2.07889 + 5.01888i 0.0757590 + 0.182898i
\(754\) −7.15728 2.96464i −0.260653 0.107966i
\(755\) 14.7686 35.6547i 0.537486 1.29761i
\(756\) −4.12196 + 4.12196i −0.149914 + 0.149914i
\(757\) 7.44082 7.44082i 0.270441 0.270441i −0.558837 0.829278i \(-0.688752\pi\)
0.829278 + 0.558837i \(0.188752\pi\)
\(758\) 3.97654 9.60023i 0.144435 0.348696i
\(759\) −7.51889 3.11443i −0.272918 0.113046i
\(760\) −14.7816 35.6859i −0.536184 1.29446i
\(761\) 45.0137i