Properties

Label 273.2.bt.a.136.2
Level $273$
Weight $2$
Character 273.136
Analytic conductor $2.180$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bt (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(9\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 136.2
Character \(\chi\) \(=\) 273.136
Dual form 273.2.bt.a.271.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.48267 + 1.48267i) q^{2} +(0.866025 - 0.500000i) q^{3} -2.39661i q^{4} +(0.507149 - 1.89270i) q^{5} +(-0.542694 + 2.02536i) q^{6} +(-0.313052 + 2.62717i) q^{7} +(0.588043 + 0.588043i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(-1.48267 + 1.48267i) q^{2} +(0.866025 - 0.500000i) q^{3} -2.39661i q^{4} +(0.507149 - 1.89270i) q^{5} +(-0.542694 + 2.02536i) q^{6} +(-0.313052 + 2.62717i) q^{7} +(0.588043 + 0.588043i) q^{8} +(0.500000 - 0.866025i) q^{9} +(2.05432 + 3.55819i) q^{10} +(0.648767 - 2.42123i) q^{11} +(-1.19831 - 2.07553i) q^{12} +(3.33753 + 1.36415i) q^{13} +(-3.43106 - 4.35937i) q^{14} +(-0.507149 - 1.89270i) q^{15} +3.04948 q^{16} +7.32088 q^{17} +(0.542694 + 2.02536i) q^{18} +(0.930935 - 0.249443i) q^{19} +(-4.53608 - 1.21544i) q^{20} +(1.04247 + 2.43172i) q^{21} +(2.62798 + 4.55179i) q^{22} -6.63818i q^{23} +(0.803282 + 0.215239i) q^{24} +(1.00500 + 0.580235i) q^{25} +(-6.97103 + 2.92587i) q^{26} -1.00000i q^{27} +(6.29629 + 0.750265i) q^{28} +(-5.21743 + 9.03685i) q^{29} +(3.55819 + 2.05432i) q^{30} +(-2.92062 + 0.782577i) q^{31} +(-5.69745 + 5.69745i) q^{32} +(-0.648767 - 2.42123i) q^{33} +(-10.8544 + 10.8544i) q^{34} +(4.81368 + 1.92488i) q^{35} +(-2.07553 - 1.19831i) q^{36} +(-0.974084 - 0.974084i) q^{37} +(-1.01043 + 1.75011i) q^{38} +(3.57246 - 0.487377i) q^{39} +(1.41122 - 0.814767i) q^{40} +(0.710011 - 0.190247i) q^{41} +(-5.15107 - 2.05979i) q^{42} +(10.1261 - 5.84633i) q^{43} +(-5.80275 - 1.55484i) q^{44} +(-1.38556 - 1.38556i) q^{45} +(9.84223 + 9.84223i) q^{46} +(-3.62699 - 0.971849i) q^{47} +(2.64092 - 1.52474i) q^{48} +(-6.80400 - 1.64488i) q^{49} +(-2.35037 + 0.629781i) q^{50} +(6.34007 - 3.66044i) q^{51} +(3.26933 - 7.99876i) q^{52} +(-1.15862 + 2.00679i) q^{53} +(1.48267 + 1.48267i) q^{54} +(-4.25365 - 2.45585i) q^{55} +(-1.72898 + 1.36080i) q^{56} +(0.681492 - 0.681492i) q^{57} +(-5.66294 - 21.1344i) q^{58} +(-3.35900 + 3.35900i) q^{59} +(-4.53608 + 1.21544i) q^{60} +(-8.18748 - 4.72704i) q^{61} +(3.17000 - 5.49061i) q^{62} +(2.11867 + 1.58469i) q^{63} -10.7959i q^{64} +(4.27455 - 5.62513i) q^{65} +(4.55179 + 2.62798i) q^{66} +(-6.06032 - 1.62386i) q^{67} -17.5453i q^{68} +(-3.31909 - 5.74884i) q^{69} +(-9.99105 + 4.28314i) q^{70} +(8.32895 + 2.23174i) q^{71} +(0.803282 - 0.215239i) q^{72} +(2.01139 + 7.50661i) q^{73} +2.88849 q^{74} +1.16047 q^{75} +(-0.597819 - 2.23109i) q^{76} +(6.15788 + 2.46239i) q^{77} +(-4.57415 + 6.01939i) q^{78} +(-2.31642 - 4.01217i) q^{79} +(1.54654 - 5.77176i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-0.770638 + 1.33478i) q^{82} +(-10.1090 - 10.1090i) q^{83} +(5.82788 - 2.49840i) q^{84} +(3.71277 - 13.8563i) q^{85} +(-6.34554 + 23.6819i) q^{86} +10.4349i q^{87} +(1.80529 - 1.04229i) q^{88} +(-2.89859 + 2.89859i) q^{89} +4.10864 q^{90} +(-4.62866 + 8.34119i) q^{91} -15.9091 q^{92} +(-2.13804 + 2.13804i) q^{93} +(6.81855 - 3.93669i) q^{94} -1.88849i q^{95} +(-2.08541 + 7.78286i) q^{96} +(-2.63968 + 9.85141i) q^{97} +(12.5269 - 7.64926i) q^{98} +(-1.77246 - 1.77246i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 6q^{7} + 18q^{9} + O(q^{10}) \) \( 36q + 6q^{7} + 18q^{9} - 8q^{11} - 16q^{12} + 42q^{14} - 24q^{16} - 8q^{17} - 18q^{19} + 14q^{20} - 4q^{21} + 4q^{22} + 18q^{24} + 24q^{25} - 50q^{26} + 34q^{28} + 8q^{29} + 6q^{31} - 50q^{32} + 8q^{33} - 24q^{34} + 14q^{35} - 14q^{37} - 8q^{38} - 2q^{39} - 30q^{40} + 34q^{41} - 18q^{42} + 30q^{43} + 28q^{44} - 32q^{46} - 10q^{47} + 24q^{48} + 6q^{49} - 20q^{50} - 24q^{51} + 4q^{52} - 8q^{53} - 30q^{55} - 92q^{56} - 24q^{57} + 72q^{58} - 70q^{59} + 14q^{60} - 60q^{61} - 48q^{62} + 6q^{63} - 44q^{65} + 18q^{66} - 46q^{67} + 4q^{69} + 80q^{70} + 42q^{71} + 18q^{72} - 56q^{73} + 40q^{74} - 20q^{75} + 12q^{76} + 24q^{77} - 16q^{78} + 170q^{80} - 18q^{81} + 24q^{82} - 60q^{83} + 2q^{85} + 12q^{86} + 84q^{88} + 64q^{89} - 86q^{91} - 100q^{92} + 12q^{93} - 66q^{94} + 46q^{96} + 36q^{97} - 22q^{98} - 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.48267 + 1.48267i −1.04840 + 1.04840i −0.0496376 + 0.998767i \(0.515807\pi\)
−0.998767 + 0.0496376i \(0.984193\pi\)
\(3\) 0.866025 0.500000i 0.500000 0.288675i
\(4\) 2.39661i 1.19831i
\(5\) 0.507149 1.89270i 0.226804 0.846443i −0.754870 0.655874i \(-0.772300\pi\)
0.981674 0.190569i \(-0.0610332\pi\)
\(6\) −0.542694 + 2.02536i −0.221554 + 0.826851i
\(7\) −0.313052 + 2.62717i −0.118323 + 0.992975i
\(8\) 0.588043 + 0.588043i 0.207905 + 0.207905i
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) 2.05432 + 3.55819i 0.649633 + 1.12520i
\(11\) 0.648767 2.42123i 0.195611 0.730029i −0.796497 0.604642i \(-0.793316\pi\)
0.992108 0.125387i \(-0.0400172\pi\)
\(12\) −1.19831 2.07553i −0.345921 0.599153i
\(13\) 3.33753 + 1.36415i 0.925664 + 0.378347i
\(14\) −3.43106 4.35937i −0.916990 1.16509i
\(15\) −0.507149 1.89270i −0.130945 0.488694i
\(16\) 3.04948 0.762369
\(17\) 7.32088 1.77557 0.887787 0.460254i \(-0.152242\pi\)
0.887787 + 0.460254i \(0.152242\pi\)
\(18\) 0.542694 + 2.02536i 0.127914 + 0.477383i
\(19\) 0.930935 0.249443i 0.213571 0.0572262i −0.150447 0.988618i \(-0.548071\pi\)
0.364018 + 0.931392i \(0.381405\pi\)
\(20\) −4.53608 1.21544i −1.01430 0.271780i
\(21\) 1.04247 + 2.43172i 0.227486 + 0.530644i
\(22\) 2.62798 + 4.55179i 0.560287 + 0.970445i
\(23\) 6.63818i 1.38416i −0.721822 0.692079i \(-0.756695\pi\)
0.721822 0.692079i \(-0.243305\pi\)
\(24\) 0.803282 + 0.215239i 0.163969 + 0.0439354i
\(25\) 1.00500 + 0.580235i 0.200999 + 0.116047i
\(26\) −6.97103 + 2.92587i −1.36713 + 0.573810i
\(27\) 1.00000i 0.192450i
\(28\) 6.29629 + 0.750265i 1.18989 + 0.141787i
\(29\) −5.21743 + 9.03685i −0.968852 + 1.67810i −0.269965 + 0.962870i \(0.587012\pi\)
−0.698888 + 0.715232i \(0.746321\pi\)
\(30\) 3.55819 + 2.05432i 0.649633 + 0.375066i
\(31\) −2.92062 + 0.782577i −0.524558 + 0.140555i −0.511374 0.859358i \(-0.670863\pi\)
−0.0131839 + 0.999913i \(0.504197\pi\)
\(32\) −5.69745 + 5.69745i −1.00718 + 1.00718i
\(33\) −0.648767 2.42123i −0.112936 0.421482i
\(34\) −10.8544 + 10.8544i −1.86152 + 1.86152i
\(35\) 4.81368 + 1.92488i 0.813661 + 0.325364i
\(36\) −2.07553 1.19831i −0.345921 0.199718i
\(37\) −0.974084 0.974084i −0.160138 0.160138i 0.622490 0.782628i \(-0.286121\pi\)
−0.782628 + 0.622490i \(0.786121\pi\)
\(38\) −1.01043 + 1.75011i −0.163913 + 0.283905i
\(39\) 3.57246 0.487377i 0.572051 0.0780428i
\(40\) 1.41122 0.814767i 0.223133 0.128826i
\(41\) 0.710011 0.190247i 0.110885 0.0297116i −0.202950 0.979189i \(-0.565053\pi\)
0.313835 + 0.949478i \(0.398386\pi\)
\(42\) −5.15107 2.05979i −0.794828 0.317833i
\(43\) 10.1261 5.84633i 1.54422 0.891556i 0.545656 0.838009i \(-0.316281\pi\)
0.998565 0.0535470i \(-0.0170527\pi\)
\(44\) −5.80275 1.55484i −0.874798 0.234401i
\(45\) −1.38556 1.38556i −0.206546 0.206546i
\(46\) 9.84223 + 9.84223i 1.45116 + 1.45116i
\(47\) −3.62699 0.971849i −0.529051 0.141759i −0.0156008 0.999878i \(-0.504966\pi\)
−0.513450 + 0.858120i \(0.671633\pi\)
\(48\) 2.64092 1.52474i 0.381185 0.220077i
\(49\) −6.80400 1.64488i −0.972000 0.234983i
\(50\) −2.35037 + 0.629781i −0.332393 + 0.0890645i
\(51\) 6.34007 3.66044i 0.887787 0.512564i
\(52\) 3.26933 7.99876i 0.453375 1.10923i
\(53\) −1.15862 + 2.00679i −0.159149 + 0.275654i −0.934562 0.355800i \(-0.884208\pi\)
0.775413 + 0.631454i \(0.217542\pi\)
\(54\) 1.48267 + 1.48267i 0.201766 + 0.201766i
\(55\) −4.25365 2.45585i −0.573563 0.331147i
\(56\) −1.72898 + 1.36080i −0.231044 + 0.181844i
\(57\) 0.681492 0.681492i 0.0902658 0.0902658i
\(58\) −5.66294 21.1344i −0.743580 2.77508i
\(59\) −3.35900 + 3.35900i −0.437305 + 0.437305i −0.891104 0.453799i \(-0.850068\pi\)
0.453799 + 0.891104i \(0.350068\pi\)
\(60\) −4.53608 + 1.21544i −0.585605 + 0.156912i
\(61\) −8.18748 4.72704i −1.04830 0.605236i −0.126126 0.992014i \(-0.540254\pi\)
−0.922173 + 0.386778i \(0.873588\pi\)
\(62\) 3.17000 5.49061i 0.402591 0.697308i
\(63\) 2.11867 + 1.58469i 0.266927 + 0.199653i
\(64\) 10.7959i 1.34949i
\(65\) 4.27455 5.62513i 0.530193 0.697711i
\(66\) 4.55179 + 2.62798i 0.560287 + 0.323482i
\(67\) −6.06032 1.62386i −0.740386 0.198386i −0.131136 0.991364i \(-0.541863\pi\)
−0.609249 + 0.792979i \(0.708529\pi\)
\(68\) 17.5453i 2.12768i
\(69\) −3.31909 5.74884i −0.399572 0.692079i
\(70\) −9.99105 + 4.28314i −1.19416 + 0.511933i
\(71\) 8.32895 + 2.23174i 0.988465 + 0.264858i 0.716606 0.697479i \(-0.245695\pi\)
0.271859 + 0.962337i \(0.412361\pi\)
\(72\) 0.803282 0.215239i 0.0946677 0.0253661i
\(73\) 2.01139 + 7.50661i 0.235415 + 0.878583i 0.977961 + 0.208787i \(0.0669516\pi\)
−0.742546 + 0.669795i \(0.766382\pi\)
\(74\) 2.88849 0.335780
\(75\) 1.16047 0.134000
\(76\) −0.597819 2.23109i −0.0685745 0.255923i
\(77\) 6.15788 + 2.46239i 0.701755 + 0.280615i
\(78\) −4.57415 + 6.01939i −0.517921 + 0.681562i
\(79\) −2.31642 4.01217i −0.260618 0.451404i 0.705788 0.708423i \(-0.250593\pi\)
−0.966406 + 0.257019i \(0.917260\pi\)
\(80\) 1.54654 5.77176i 0.172908 0.645302i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) −0.770638 + 1.33478i −0.0851028 + 0.147402i
\(83\) −10.1090 10.1090i −1.10961 1.10961i −0.993202 0.116405i \(-0.962863\pi\)
−0.116405 0.993202i \(-0.537137\pi\)
\(84\) 5.82788 2.49840i 0.635874 0.272598i
\(85\) 3.71277 13.8563i 0.402707 1.50292i
\(86\) −6.34554 + 23.6819i −0.684257 + 2.55368i
\(87\) 10.4349i 1.11873i
\(88\) 1.80529 1.04229i 0.192445 0.111108i
\(89\) −2.89859 + 2.89859i −0.307250 + 0.307250i −0.843842 0.536592i \(-0.819711\pi\)
0.536592 + 0.843842i \(0.319711\pi\)
\(90\) 4.10864 0.433089
\(91\) −4.62866 + 8.34119i −0.485216 + 0.874394i
\(92\) −15.9091 −1.65864
\(93\) −2.13804 + 2.13804i −0.221704 + 0.221704i
\(94\) 6.81855 3.93669i 0.703280 0.406039i
\(95\) 1.88849i 0.193755i
\(96\) −2.08541 + 7.78286i −0.212841 + 0.794335i
\(97\) −2.63968 + 9.85141i −0.268019 + 1.00026i 0.692358 + 0.721554i \(0.256572\pi\)
−0.960377 + 0.278705i \(0.910095\pi\)
\(98\) 12.5269 7.64926i 1.26541 0.772692i
\(99\) −1.77246 1.77246i −0.178139 0.178139i
\(100\) 1.39060 2.40859i 0.139060 0.240859i
\(101\) −1.90282 3.29578i −0.189337 0.327942i 0.755692 0.654927i \(-0.227301\pi\)
−0.945030 + 0.326985i \(0.893967\pi\)
\(102\) −3.97300 + 14.8274i −0.393386 + 1.46814i
\(103\) −4.75097 8.22892i −0.468127 0.810819i 0.531210 0.847240i \(-0.321738\pi\)
−0.999337 + 0.0364211i \(0.988404\pi\)
\(104\) 1.16043 + 2.76479i 0.113790 + 0.271110i
\(105\) 5.13121 0.739848i 0.500755 0.0722018i
\(106\) −1.25755 4.69325i −0.122144 0.455849i
\(107\) −9.75503 −0.943055 −0.471527 0.881851i \(-0.656297\pi\)
−0.471527 + 0.881851i \(0.656297\pi\)
\(108\) −2.39661 −0.230614
\(109\) 1.54206 + 5.75506i 0.147703 + 0.551235i 0.999620 + 0.0275585i \(0.00877324\pi\)
−0.851917 + 0.523676i \(0.824560\pi\)
\(110\) 9.94797 2.66555i 0.948501 0.254150i
\(111\) −1.33062 0.356539i −0.126297 0.0338412i
\(112\) −0.954645 + 8.01148i −0.0902055 + 0.757014i
\(113\) 5.65861 + 9.80099i 0.532317 + 0.922000i 0.999288 + 0.0377273i \(0.0120118\pi\)
−0.466971 + 0.884273i \(0.654655\pi\)
\(114\) 2.02085i 0.189270i
\(115\) −12.5641 3.36655i −1.17161 0.313932i
\(116\) 21.6578 + 12.5042i 2.01088 + 1.16098i
\(117\) 2.85015 2.20831i 0.263497 0.204158i
\(118\) 9.96057i 0.916945i
\(119\) −2.29182 + 19.2332i −0.210091 + 1.76310i
\(120\) 0.814767 1.41122i 0.0743777 0.128826i
\(121\) 4.08482 + 2.35837i 0.371347 + 0.214397i
\(122\) 19.1479 5.13068i 1.73357 0.464510i
\(123\) 0.519764 0.519764i 0.0468656 0.0468656i
\(124\) 1.87553 + 6.99958i 0.168428 + 0.628581i
\(125\) 8.53568 8.53568i 0.763454 0.763454i
\(126\) −5.49085 + 0.791703i −0.489164 + 0.0705305i
\(127\) 9.81199 + 5.66496i 0.870673 + 0.502684i 0.867572 0.497312i \(-0.165679\pi\)
0.00310144 + 0.999995i \(0.499013\pi\)
\(128\) 4.61185 + 4.61185i 0.407634 + 0.407634i
\(129\) 5.84633 10.1261i 0.514740 0.891556i
\(130\) 2.00246 + 14.6779i 0.175627 + 1.28734i
\(131\) −12.3925 + 7.15480i −1.08274 + 0.625118i −0.931633 0.363401i \(-0.881616\pi\)
−0.151102 + 0.988518i \(0.548282\pi\)
\(132\) −5.80275 + 1.55484i −0.505065 + 0.135332i
\(133\) 0.363897 + 2.52381i 0.0315539 + 0.218842i
\(134\) 11.3931 6.57780i 0.984213 0.568235i
\(135\) −1.89270 0.507149i −0.162898 0.0436484i
\(136\) 4.30500 + 4.30500i 0.369150 + 0.369150i
\(137\) −4.02745 4.02745i −0.344089 0.344089i 0.513813 0.857902i \(-0.328232\pi\)
−0.857902 + 0.513813i \(0.828232\pi\)
\(138\) 13.4447 + 3.60251i 1.14449 + 0.306666i
\(139\) 9.38055 5.41586i 0.795648 0.459368i −0.0462992 0.998928i \(-0.514743\pi\)
0.841947 + 0.539560i \(0.181409\pi\)
\(140\) 4.61319 11.5365i 0.389885 0.975015i
\(141\) −3.62699 + 0.971849i −0.305448 + 0.0818444i
\(142\) −15.6580 + 9.04015i −1.31399 + 0.758633i
\(143\) 5.46820 7.19592i 0.457274 0.601753i
\(144\) 1.52474 2.64092i 0.127062 0.220077i
\(145\) 14.4581 + 14.4581i 1.20068 + 1.20068i
\(146\) −14.1120 8.14759i −1.16792 0.674300i
\(147\) −6.71487 + 1.97749i −0.553833 + 0.163101i
\(148\) −2.33450 + 2.33450i −0.191895 + 0.191895i
\(149\) 2.30894 + 8.61708i 0.189156 + 0.705939i 0.993703 + 0.112050i \(0.0357416\pi\)
−0.804547 + 0.593889i \(0.797592\pi\)
\(150\) −1.72059 + 1.72059i −0.140486 + 0.140486i
\(151\) −12.4233 + 3.32882i −1.01100 + 0.270896i −0.726046 0.687647i \(-0.758644\pi\)
−0.284951 + 0.958542i \(0.591977\pi\)
\(152\) 0.694113 + 0.400747i 0.0563000 + 0.0325048i
\(153\) 3.66044 6.34007i 0.295929 0.512564i
\(154\) −12.7810 + 5.47918i −1.02992 + 0.441525i
\(155\) 5.92474i 0.475887i
\(156\) −1.16805 8.56180i −0.0935192 0.685492i
\(157\) −3.95550 2.28371i −0.315683 0.182260i 0.333784 0.942650i \(-0.391675\pi\)
−0.649467 + 0.760390i \(0.725008\pi\)
\(158\) 9.38320 + 2.51422i 0.746487 + 0.200021i
\(159\) 2.31724i 0.183769i
\(160\) 7.89413 + 13.6730i 0.624086 + 1.08095i
\(161\) 17.4396 + 2.07810i 1.37443 + 0.163777i
\(162\) 2.02536 + 0.542694i 0.159128 + 0.0426381i
\(163\) 2.47798 0.663973i 0.194091 0.0520064i −0.160464 0.987042i \(-0.551299\pi\)
0.354555 + 0.935035i \(0.384632\pi\)
\(164\) −0.455948 1.70162i −0.0356036 0.132874i
\(165\) −4.91170 −0.382375
\(166\) 29.9766 2.32664
\(167\) 1.90396 + 7.10569i 0.147333 + 0.549855i 0.999640 + 0.0268134i \(0.00853598\pi\)
−0.852307 + 0.523041i \(0.824797\pi\)
\(168\) −0.816937 + 2.04297i −0.0630281 + 0.157619i
\(169\) 9.27820 + 9.10577i 0.713708 + 0.700444i
\(170\) 15.0394 + 26.0491i 1.15347 + 1.99787i
\(171\) 0.249443 0.930935i 0.0190754 0.0711904i
\(172\) −14.0114 24.2684i −1.06836 1.85045i
\(173\) −9.17077 + 15.8842i −0.697241 + 1.20766i 0.272178 + 0.962247i \(0.412256\pi\)
−0.969419 + 0.245410i \(0.921077\pi\)
\(174\) −15.4714 15.4714i −1.17289 1.17289i
\(175\) −1.83899 + 2.45865i −0.139015 + 0.185856i
\(176\) 1.97840 7.38349i 0.149127 0.556551i
\(177\) −1.22948 + 4.58848i −0.0924134 + 0.344891i
\(178\) 8.59529i 0.644244i
\(179\) −1.65369 + 0.954758i −0.123603 + 0.0713620i −0.560527 0.828136i \(-0.689401\pi\)
0.436924 + 0.899498i \(0.356068\pi\)
\(180\) −3.32064 + 3.32064i −0.247506 + 0.247506i
\(181\) −18.9344 −1.40738 −0.703691 0.710506i \(-0.748466\pi\)
−0.703691 + 0.710506i \(0.748466\pi\)
\(182\) −5.50445 19.2300i −0.408017 1.42542i
\(183\) −9.45408 −0.698866
\(184\) 3.90354 3.90354i 0.287773 0.287773i
\(185\) −2.33766 + 1.34965i −0.171868 + 0.0992281i
\(186\) 6.34001i 0.464872i
\(187\) 4.74955 17.7255i 0.347321 1.29622i
\(188\) −2.32914 + 8.69248i −0.169870 + 0.633965i
\(189\) 2.62717 + 0.313052i 0.191098 + 0.0227712i
\(190\) 2.80000 + 2.80000i 0.203134 + 0.203134i
\(191\) −5.39449 + 9.34352i −0.390331 + 0.676074i −0.992493 0.122300i \(-0.960973\pi\)
0.602162 + 0.798374i \(0.294306\pi\)
\(192\) −5.39795 9.34953i −0.389564 0.674744i
\(193\) 5.08690 18.9846i 0.366163 1.36654i −0.499674 0.866213i \(-0.666547\pi\)
0.865837 0.500326i \(-0.166786\pi\)
\(194\) −10.6926 18.5201i −0.767685 1.32967i
\(195\) 0.889307 7.00878i 0.0636846 0.501909i
\(196\) −3.94214 + 16.3065i −0.281581 + 1.16475i
\(197\) −2.96842 11.0783i −0.211491 0.789295i −0.987372 0.158417i \(-0.949361\pi\)
0.775881 0.630879i \(-0.217306\pi\)
\(198\) 5.25595 0.373524
\(199\) −5.55472 −0.393764 −0.196882 0.980427i \(-0.563082\pi\)
−0.196882 + 0.980427i \(0.563082\pi\)
\(200\) 0.249778 + 0.932185i 0.0176620 + 0.0659155i
\(201\) −6.06032 + 1.62386i −0.427462 + 0.114538i
\(202\) 7.70779 + 2.06530i 0.542318 + 0.145314i
\(203\) −22.1080 16.5361i −1.55168 1.16060i
\(204\) −8.77265 15.1947i −0.614209 1.06384i
\(205\) 1.44032i 0.100597i
\(206\) 19.2449 + 5.15665i 1.34085 + 0.359281i
\(207\) −5.74884 3.31909i −0.399572 0.230693i
\(208\) 10.1777 + 4.15994i 0.705698 + 0.288440i
\(209\) 2.41584i 0.167107i
\(210\) −6.51094 + 8.70483i −0.449297 + 0.600691i
\(211\) −8.06339 + 13.9662i −0.555106 + 0.961473i 0.442789 + 0.896626i \(0.353989\pi\)
−0.997895 + 0.0648467i \(0.979344\pi\)
\(212\) 4.80949 + 2.77676i 0.330317 + 0.190709i
\(213\) 8.32895 2.23174i 0.570690 0.152916i
\(214\) 14.4635 14.4635i 0.988703 0.988703i
\(215\) −5.92991 22.1307i −0.404417 1.50930i
\(216\) 0.588043 0.588043i 0.0400113 0.0400113i
\(217\) −1.14165 7.91793i −0.0775004 0.537504i
\(218\) −10.8192 6.24648i −0.732770 0.423065i
\(219\) 5.49522 + 5.49522i 0.371333 + 0.371333i
\(220\) −5.88571 + 10.1944i −0.396815 + 0.687303i
\(221\) 24.4337 + 9.98677i 1.64359 + 0.671783i
\(222\) 2.50150 1.44424i 0.167890 0.0969313i
\(223\) 25.6580 6.87505i 1.71819 0.460387i 0.740781 0.671747i \(-0.234456\pi\)
0.977408 + 0.211359i \(0.0677890\pi\)
\(224\) −13.1845 16.7517i −0.880929 1.11927i
\(225\) 1.00500 0.580235i 0.0669998 0.0386824i
\(226\) −22.9215 6.14179i −1.52471 0.408546i
\(227\) 1.25693 + 1.25693i 0.0834252 + 0.0834252i 0.747588 0.664163i \(-0.231212\pi\)
−0.664163 + 0.747588i \(0.731212\pi\)
\(228\) −1.63327 1.63327i −0.108166 0.108166i
\(229\) −8.68390 2.32685i −0.573849 0.153762i −0.0397875 0.999208i \(-0.512668\pi\)
−0.534061 + 0.845446i \(0.679335\pi\)
\(230\) 23.6199 13.6370i 1.55745 0.899194i
\(231\) 6.56407 0.946446i 0.431884 0.0622716i
\(232\) −8.38214 + 2.24599i −0.550314 + 0.147456i
\(233\) 0.891738 0.514845i 0.0584197 0.0337286i −0.470506 0.882397i \(-0.655928\pi\)
0.528925 + 0.848668i \(0.322595\pi\)
\(234\) −0.951638 + 7.50002i −0.0622105 + 0.490292i
\(235\) −3.67884 + 6.37195i −0.239981 + 0.415660i
\(236\) 8.05022 + 8.05022i 0.524025 + 0.524025i
\(237\) −4.01217 2.31642i −0.260618 0.150468i
\(238\) −25.1184 31.9144i −1.62818 2.06870i
\(239\) −13.2347 + 13.2347i −0.856079 + 0.856079i −0.990874 0.134795i \(-0.956962\pi\)
0.134795 + 0.990874i \(0.456962\pi\)
\(240\) −1.54654 5.77176i −0.0998286 0.372565i
\(241\) 2.07666 2.07666i 0.133769 0.133769i −0.637052 0.770821i \(-0.719846\pi\)
0.770821 + 0.637052i \(0.219846\pi\)
\(242\) −9.55311 + 2.55975i −0.614097 + 0.164547i
\(243\) −0.866025 0.500000i −0.0555556 0.0320750i
\(244\) −11.3289 + 19.6222i −0.725257 + 1.25618i
\(245\) −6.56391 + 12.0438i −0.419353 + 0.769447i
\(246\) 1.54128i 0.0982682i
\(247\) 3.44730 + 0.437409i 0.219346 + 0.0278317i
\(248\) −2.17764 1.25726i −0.138280 0.0798361i
\(249\) −13.8092 3.70015i −0.875120 0.234488i
\(250\) 25.3112i 1.60082i
\(251\) 0.244838 + 0.424072i 0.0154540 + 0.0267672i 0.873649 0.486557i \(-0.161747\pi\)
−0.858195 + 0.513324i \(0.828414\pi\)
\(252\) 3.79790 5.07762i 0.239245 0.319860i
\(253\) −16.0726 4.30664i −1.01047 0.270756i
\(254\) −22.9472 + 6.14868i −1.43983 + 0.385802i
\(255\) −3.71277 13.8563i −0.232503 0.867713i
\(256\) 7.91613 0.494758
\(257\) 18.7117 1.16720 0.583602 0.812040i \(-0.301643\pi\)
0.583602 + 0.812040i \(0.301643\pi\)
\(258\) 6.34554 + 23.6819i 0.395056 + 1.47437i
\(259\) 2.86402 2.25414i 0.177961 0.140065i
\(260\) −13.4812 10.2444i −0.836072 0.635333i
\(261\) 5.21743 + 9.03685i 0.322951 + 0.559367i
\(262\) 7.76574 28.9821i 0.479769 1.79052i
\(263\) 1.72119 + 2.98119i 0.106133 + 0.183828i 0.914201 0.405262i \(-0.132820\pi\)
−0.808067 + 0.589090i \(0.799486\pi\)
\(264\) 1.04229 1.80529i 0.0641483 0.111108i
\(265\) 3.21067 + 3.21067i 0.197230 + 0.197230i
\(266\) −4.28151 3.20243i −0.262516 0.196354i
\(267\) −1.06096 + 3.95954i −0.0649295 + 0.242320i
\(268\) −3.89176 + 14.5242i −0.237727 + 0.887208i
\(269\) 9.04672i 0.551588i −0.961217 0.275794i \(-0.911059\pi\)
0.961217 0.275794i \(-0.0889408\pi\)
\(270\) 3.55819 2.05432i 0.216544 0.125022i
\(271\) −5.53295 + 5.53295i −0.336103 + 0.336103i −0.854898 0.518796i \(-0.826381\pi\)
0.518796 + 0.854898i \(0.326381\pi\)
\(272\) 22.3249 1.35364
\(273\) 0.162054 + 9.53802i 0.00980797 + 0.577267i
\(274\) 11.9428 0.721488
\(275\) 2.05689 2.05689i 0.124035 0.124035i
\(276\) −13.7777 + 7.95457i −0.829322 + 0.478809i
\(277\) 1.54911i 0.0930772i −0.998916 0.0465386i \(-0.985181\pi\)
0.998916 0.0465386i \(-0.0148190\pi\)
\(278\) −5.87832 + 21.9382i −0.352558 + 1.31576i
\(279\) −0.782577 + 2.92062i −0.0468516 + 0.174853i
\(280\) 1.69874 + 3.96257i 0.101519 + 0.236809i
\(281\) 4.20181 + 4.20181i 0.250659 + 0.250659i 0.821241 0.570582i \(-0.193282\pi\)
−0.570582 + 0.821241i \(0.693282\pi\)
\(282\) 3.93669 6.81855i 0.234427 0.406039i
\(283\) −2.32807 4.03233i −0.138389 0.239697i 0.788498 0.615038i \(-0.210859\pi\)
−0.926887 + 0.375340i \(0.877526\pi\)
\(284\) 5.34860 19.9613i 0.317381 1.18448i
\(285\) −0.944245 1.63548i −0.0559322 0.0968775i
\(286\) 2.56163 + 18.7767i 0.151473 + 1.11029i
\(287\) 0.277540 + 1.92487i 0.0163826 + 0.113622i
\(288\) 2.08541 + 7.78286i 0.122884 + 0.458609i
\(289\) 36.5953 2.15266
\(290\) −42.8731 −2.51759
\(291\) 2.63968 + 9.85141i 0.154741 + 0.577500i
\(292\) 17.9904 4.82052i 1.05281 0.282100i
\(293\) 10.8009 + 2.89410i 0.630997 + 0.169075i 0.560122 0.828410i \(-0.310754\pi\)
0.0708751 + 0.997485i \(0.477421\pi\)
\(294\) 7.02397 12.8879i 0.409646 0.751637i
\(295\) 4.65408 + 8.06111i 0.270971 + 0.469336i
\(296\) 1.14561i 0.0665871i
\(297\) −2.42123 0.648767i −0.140494 0.0376453i
\(298\) −16.1997 9.35289i −0.938422 0.541798i
\(299\) 9.05547 22.1551i 0.523691 1.28126i
\(300\) 2.78120i 0.160573i
\(301\) 12.1893 + 28.4332i 0.702577 + 1.63886i
\(302\) 13.4841 23.3552i 0.775925 1.34394i
\(303\) −3.29578 1.90282i −0.189337 0.109314i
\(304\) 2.83886 0.760671i 0.162820 0.0436275i
\(305\) −13.0992 + 13.0992i −0.750056 + 0.750056i
\(306\) 3.97300 + 14.8274i 0.227121 + 0.847628i
\(307\) 2.63969 2.63969i 0.150655 0.150655i −0.627756 0.778411i \(-0.716026\pi\)
0.778411 + 0.627756i \(0.216026\pi\)
\(308\) 5.90139 14.7580i 0.336263 0.840917i
\(309\) −8.22892 4.75097i −0.468127 0.270273i
\(310\) −8.78443 8.78443i −0.498922 0.498922i
\(311\) −16.2833 + 28.2035i −0.923341 + 1.59927i −0.129133 + 0.991627i \(0.541220\pi\)
−0.794208 + 0.607646i \(0.792114\pi\)
\(312\) 2.38736 + 1.81416i 0.135158 + 0.102707i
\(313\) −12.7123 + 7.33945i −0.718541 + 0.414850i −0.814216 0.580563i \(-0.802833\pi\)
0.0956743 + 0.995413i \(0.469499\pi\)
\(314\) 9.25067 2.47871i 0.522046 0.139882i
\(315\) 4.07384 3.20633i 0.229535 0.180656i
\(316\) −9.61560 + 5.55157i −0.540920 + 0.312300i
\(317\) 9.92063 + 2.65822i 0.557198 + 0.149301i 0.526419 0.850225i \(-0.323534\pi\)
0.0307793 + 0.999526i \(0.490201\pi\)
\(318\) −3.43570 3.43570i −0.192664 0.192664i
\(319\) 18.4954 + 18.4954i 1.03554 + 1.03554i
\(320\) −20.4335 5.47513i −1.14226 0.306069i
\(321\) −8.44811 + 4.87752i −0.471527 + 0.272236i
\(322\) −28.9383 + 22.7760i −1.61267 + 1.26926i
\(323\) 6.81526 1.82614i 0.379211 0.101609i
\(324\) −2.07553 + 1.19831i −0.115307 + 0.0665725i
\(325\) 2.56268 + 3.30752i 0.142152 + 0.183468i
\(326\) −2.68957 + 4.65848i −0.148962 + 0.258009i
\(327\) 4.21300 + 4.21300i 0.232979 + 0.232979i
\(328\) 0.529391 + 0.305644i 0.0292307 + 0.0168764i
\(329\) 3.68864 9.22446i 0.203362 0.508561i
\(330\) 7.28242 7.28242i 0.400884 0.400884i
\(331\) −6.55085 24.4481i −0.360068 1.34379i −0.873986 0.485951i \(-0.838473\pi\)
0.513918 0.857839i \(-0.328193\pi\)
\(332\) −24.2274 + 24.2274i −1.32965 + 1.32965i
\(333\) −1.33062 + 0.356539i −0.0729177 + 0.0195382i
\(334\) −13.3583 7.71243i −0.730935 0.422006i
\(335\) −6.14696 + 10.6469i −0.335845 + 0.581700i
\(336\) 3.17899 + 7.41547i 0.173428 + 0.404547i
\(337\) 0.741618i 0.0403985i −0.999796 0.0201993i \(-0.993570\pi\)
0.999796 0.0201993i \(-0.00643006\pi\)
\(338\) −27.2573 + 0.255654i −1.48260 + 0.0139058i
\(339\) 9.80099 + 5.65861i 0.532317 + 0.307333i
\(340\) −33.2081 8.89808i −1.80096 0.482566i
\(341\) 7.57920i 0.410436i
\(342\) 1.01043 + 1.75011i 0.0546376 + 0.0946351i
\(343\) 6.45138 17.3603i 0.348342 0.937368i
\(344\) 9.39250 + 2.51671i 0.506410 + 0.135692i
\(345\) −12.5641 + 3.36655i −0.676430 + 0.181249i
\(346\) −9.95385 37.1483i −0.535122 1.99710i
\(347\) 34.1772 1.83473 0.917364 0.398048i \(-0.130312\pi\)
0.917364 + 0.398048i \(0.130312\pi\)
\(348\) 25.0083 1.34059
\(349\) 7.26033 + 27.0959i 0.388636 + 1.45041i 0.832354 + 0.554244i \(0.186993\pi\)
−0.443718 + 0.896167i \(0.646341\pi\)
\(350\) −0.918749 6.37198i −0.0491092 0.340596i
\(351\) 1.36415 3.33753i 0.0728129 0.178144i
\(352\) 10.0985 + 17.4912i 0.538253 + 0.932282i
\(353\) −2.49904 + 9.32655i −0.133011 + 0.496402i −0.999998 0.00192769i \(-0.999386\pi\)
0.866988 + 0.498330i \(0.166053\pi\)
\(354\) −4.98029 8.62611i −0.264699 0.458472i
\(355\) 8.44803 14.6324i 0.448375 0.776608i
\(356\) 6.94679 + 6.94679i 0.368179 + 0.368179i
\(357\) 7.63181 + 17.8023i 0.403918 + 0.942199i
\(358\) 1.03628 3.86746i 0.0547693 0.204402i
\(359\) 8.84959 33.0271i 0.467064 1.74311i −0.182891 0.983133i \(-0.558546\pi\)
0.649955 0.759973i \(-0.274788\pi\)
\(360\) 1.62953i 0.0858840i
\(361\) −15.6501 + 9.03557i −0.823688 + 0.475556i
\(362\) 28.0734 28.0734i 1.47551 1.47551i
\(363\) 4.71674 0.247565
\(364\) 19.9906 + 11.0931i 1.04779 + 0.581437i
\(365\) 15.2279 0.797063
\(366\) 14.0173 14.0173i 0.732695 0.732695i
\(367\) −23.1967 + 13.3926i −1.21086 + 0.699090i −0.962947 0.269692i \(-0.913078\pi\)
−0.247913 + 0.968782i \(0.579745\pi\)
\(368\) 20.2430i 1.05524i
\(369\) 0.190247 0.710011i 0.00990386 0.0369617i
\(370\) 1.46489 5.46705i 0.0761561 0.284218i
\(371\) −4.90946 3.67212i −0.254886 0.190647i
\(372\) 5.12405 + 5.12405i 0.265670 + 0.265670i
\(373\) −1.83233 + 3.17370i −0.0948747 + 0.164328i −0.909556 0.415581i \(-0.863578\pi\)
0.814682 + 0.579908i \(0.196912\pi\)
\(374\) 19.2391 + 33.3231i 0.994831 + 1.72310i
\(375\) 3.12427 11.6599i 0.161337 0.602117i
\(376\) −1.56134 2.70432i −0.0805198 0.139464i
\(377\) −29.7409 + 23.0434i −1.53174 + 1.18680i
\(378\) −4.35937 + 3.43106i −0.224222 + 0.176475i
\(379\) −6.16351 23.0025i −0.316598 1.18156i −0.922492 0.386016i \(-0.873851\pi\)
0.605894 0.795545i \(-0.292816\pi\)
\(380\) −4.52597 −0.232178
\(381\) 11.3299 0.580449
\(382\) −5.85511 21.8516i −0.299574 1.11802i
\(383\) −29.5578 + 7.91998i −1.51033 + 0.404692i −0.916545 0.399931i \(-0.869034\pi\)
−0.593786 + 0.804623i \(0.702368\pi\)
\(384\) 6.29990 + 1.68805i 0.321490 + 0.0861431i
\(385\) 7.78354 10.4062i 0.396686 0.530351i
\(386\) 20.6056 + 35.6900i 1.04880 + 1.81657i
\(387\) 11.6927i 0.594371i
\(388\) 23.6100 + 6.32628i 1.19862 + 0.321168i
\(389\) −1.02102 0.589484i −0.0517676 0.0298880i 0.473893 0.880583i \(-0.342848\pi\)
−0.525660 + 0.850694i \(0.676182\pi\)
\(390\) 9.07315 + 11.7102i 0.459437 + 0.592971i
\(391\) 48.5974i 2.45767i
\(392\) −3.03378 4.96831i −0.153229 0.250937i
\(393\) −7.15480 + 12.3925i −0.360912 + 0.625118i
\(394\) 20.8266 + 12.0242i 1.04923 + 0.605773i
\(395\) −8.76861 + 2.34954i −0.441197 + 0.118218i
\(396\) −4.24791 + 4.24791i −0.213465 + 0.213465i
\(397\) −3.14500 11.7373i −0.157843 0.589078i −0.998845 0.0480464i \(-0.984700\pi\)
0.841002 0.541032i \(-0.181966\pi\)
\(398\) 8.23581 8.23581i 0.412824 0.412824i
\(399\) 1.57705 + 2.00373i 0.0789512 + 0.100312i
\(400\) 3.06471 + 1.76941i 0.153236 + 0.0884707i
\(401\) −1.52505 1.52505i −0.0761573 0.0761573i 0.668002 0.744159i \(-0.267150\pi\)
−0.744159 + 0.668002i \(0.767150\pi\)
\(402\) 6.57780 11.3931i 0.328071 0.568235i
\(403\) −10.8152 1.37228i −0.538743 0.0683582i
\(404\) −7.89869 + 4.56031i −0.392975 + 0.226884i
\(405\) −1.89270 + 0.507149i −0.0940492 + 0.0252004i
\(406\) 57.2963 8.26131i 2.84357 0.410002i
\(407\) −2.99044 + 1.72653i −0.148230 + 0.0855809i
\(408\) 5.88073 + 1.57574i 0.291140 + 0.0780106i
\(409\) −3.39607 3.39607i −0.167925 0.167925i 0.618142 0.786067i \(-0.287886\pi\)
−0.786067 + 0.618142i \(0.787886\pi\)
\(410\) 2.13552 + 2.13552i 0.105466 + 0.105466i
\(411\) −5.50160 1.47415i −0.271374 0.0727145i
\(412\) −19.7215 + 11.3862i −0.971609 + 0.560959i
\(413\) −7.77311 9.87620i −0.382490 0.485976i
\(414\) 13.4447 3.60251i 0.660773 0.177053i
\(415\) −24.2601 + 14.0066i −1.19088 + 0.687556i
\(416\) −26.7876 + 11.2432i −1.31337 + 0.551245i
\(417\) 5.41586 9.38055i 0.265216 0.459368i
\(418\) 3.58189 + 3.58189i 0.175196 + 0.175196i
\(419\) −18.2738 10.5504i −0.892733 0.515420i −0.0178978 0.999840i \(-0.505697\pi\)
−0.874836 + 0.484420i \(0.839031\pi\)
\(420\) −1.77313 12.2975i −0.0865198 0.600058i
\(421\) 24.4128 24.4128i 1.18981 1.18981i 0.212688 0.977120i \(-0.431778\pi\)
0.977120 0.212688i \(-0.0682218\pi\)
\(422\) −8.75191 32.6626i −0.426036 1.58999i
\(423\) −2.65514 + 2.65514i −0.129097 + 0.129097i
\(424\) −1.86140 + 0.498760i −0.0903975 + 0.0242219i
\(425\) 7.35746 + 4.24783i 0.356889 + 0.206050i
\(426\) −9.04015 + 15.6580i −0.437997 + 0.758633i
\(427\) 14.9818 20.0300i 0.725022 0.969322i
\(428\) 23.3790i 1.13007i
\(429\) 1.13764 8.96594i 0.0549258 0.432880i
\(430\) 41.6046 + 24.0204i 2.00635 + 1.15837i
\(431\) −7.96117 2.13319i −0.383476 0.102752i 0.0619308 0.998080i \(-0.480274\pi\)
−0.445407 + 0.895328i \(0.646941\pi\)
\(432\) 3.04948i 0.146718i
\(433\) −13.2942 23.0262i −0.638878 1.10657i −0.985679 0.168631i \(-0.946065\pi\)
0.346801 0.937939i \(-0.387268\pi\)
\(434\) 13.4324 + 10.0470i 0.644774 + 0.482270i
\(435\) 19.7501 + 5.29202i 0.946945 + 0.253733i
\(436\) 13.7926 3.69573i 0.660548 0.176993i
\(437\) −1.65585 6.17972i −0.0792101 0.295616i
\(438\) −16.2952 −0.778614
\(439\) −17.8799 −0.853362 −0.426681 0.904402i \(-0.640317\pi\)
−0.426681 + 0.904402i \(0.640317\pi\)
\(440\) −1.05719 3.94548i −0.0503994 0.188093i
\(441\) −4.82651 + 5.06999i −0.229834 + 0.241428i
\(442\) −51.0341 + 21.4199i −2.42744 + 1.01884i
\(443\) 10.8928 + 18.8669i 0.517532 + 0.896392i 0.999793 + 0.0203640i \(0.00648252\pi\)
−0.482261 + 0.876028i \(0.660184\pi\)
\(444\) −0.854486 + 3.18899i −0.0405521 + 0.151343i
\(445\) 4.01615 + 6.95618i 0.190384 + 0.329755i
\(446\) −27.8489 + 48.2358i −1.31869 + 2.28403i
\(447\) 6.30814 + 6.30814i 0.298365 + 0.298365i
\(448\) 28.3626 + 3.37968i 1.34001 + 0.159675i
\(449\) −0.850694 + 3.17483i −0.0401467 + 0.149830i −0.983090 0.183125i \(-0.941379\pi\)
0.942943 + 0.332954i \(0.108045\pi\)
\(450\) −0.629781 + 2.35037i −0.0296882 + 0.110798i
\(451\) 1.84253i 0.0867612i
\(452\) 23.4892 13.5615i 1.10484 0.637878i
\(453\) −9.09451 + 9.09451i −0.427297 + 0.427297i
\(454\) −3.72721 −0.174927
\(455\) 13.4400 + 12.9909i 0.630076 + 0.609024i
\(456\) 0.801493 0.0375334
\(457\) 25.5511 25.5511i 1.19523 1.19523i 0.219653 0.975578i \(-0.429507\pi\)
0.975578 0.219653i \(-0.0704925\pi\)
\(458\) 16.3253 9.42541i 0.762831 0.440421i
\(459\) 7.32088i 0.341709i
\(460\) −8.06830 + 30.1113i −0.376187 + 1.40395i
\(461\) 3.32485 12.4085i 0.154854 0.577922i −0.844264 0.535927i \(-0.819962\pi\)
0.999118 0.0419948i \(-0.0133713\pi\)
\(462\) −8.32908 + 11.1356i −0.387504 + 0.518076i
\(463\) 22.2200 + 22.2200i 1.03265 + 1.03265i 0.999449 + 0.0332014i \(0.0105703\pi\)
0.0332014 + 0.999449i \(0.489430\pi\)
\(464\) −15.9104 + 27.5577i −0.738623 + 1.27933i
\(465\) 2.96237 + 5.13098i 0.137377 + 0.237943i
\(466\) −0.558807 + 2.08550i −0.0258862 + 0.0966087i
\(467\) −17.1486 29.7023i −0.793543 1.37446i −0.923760 0.382972i \(-0.874901\pi\)
0.130217 0.991486i \(-0.458433\pi\)
\(468\) −5.29246 6.83071i −0.244644 0.315750i
\(469\) 6.16334 15.4131i 0.284597 0.711711i
\(470\) −3.99298 14.9020i −0.184182 0.687378i
\(471\) −4.56742 −0.210455
\(472\) −3.95048 −0.181835
\(473\) −7.58581 28.3106i −0.348796 1.30172i
\(474\) 9.38320 2.51422i 0.430985 0.115482i
\(475\) 1.08032 + 0.289472i 0.0495686 + 0.0132819i
\(476\) 46.0944 + 5.49260i 2.11273 + 0.251753i
\(477\) 1.15862 + 2.00679i 0.0530496 + 0.0918846i
\(478\) 39.2452i 1.79503i
\(479\) 2.30910 + 0.618722i 0.105505 + 0.0282701i 0.311186 0.950349i \(-0.399274\pi\)
−0.205680 + 0.978619i \(0.565941\pi\)
\(480\) 13.6730 + 7.89413i 0.624086 + 0.360316i
\(481\) −1.92224 4.57983i −0.0876465 0.208822i
\(482\) 6.15798i 0.280489i
\(483\) 16.1422 6.92012i 0.734495 0.314876i
\(484\) 5.65210 9.78972i 0.256913 0.444987i
\(485\) 17.3071 + 9.99226i 0.785875 + 0.453725i
\(486\) 2.02536 0.542694i 0.0918723 0.0246171i
\(487\) −5.93438 + 5.93438i −0.268912 + 0.268912i −0.828662 0.559749i \(-0.810897\pi\)
0.559749 + 0.828662i \(0.310897\pi\)
\(488\) −2.03489 7.59430i −0.0921149 0.343778i
\(489\) 1.81401 1.81401i 0.0820323 0.0820323i
\(490\) −8.12479 27.5890i −0.367041 1.24634i
\(491\) −5.46870 3.15735i −0.246799 0.142489i 0.371499 0.928433i \(-0.378844\pi\)
−0.618298 + 0.785944i \(0.712177\pi\)
\(492\) −1.24567 1.24567i −0.0561593 0.0561593i
\(493\) −38.1962 + 66.1577i −1.72027 + 2.97959i
\(494\) −5.75974 + 4.46267i −0.259143 + 0.200785i
\(495\) −4.25365 + 2.45585i −0.191188 + 0.110382i
\(496\) −8.90635 + 2.38645i −0.399907 + 0.107155i
\(497\) −8.47054 + 21.1829i −0.379956 + 0.950182i
\(498\) 25.9605 14.9883i 1.16332 0.671642i
\(499\) 33.9532 + 9.09774i 1.51996 + 0.407271i 0.919727 0.392558i \(-0.128410\pi\)
0.600228 + 0.799829i \(0.295077\pi\)
\(500\) −20.4567 20.4567i −0.914851 0.914851i
\(501\) 5.20172 + 5.20172i 0.232396 + 0.232396i
\(502\) −0.991772 0.265744i −0.0442649 0.0118608i
\(503\) −8.32980 + 4.80921i −0.371408 + 0.214432i −0.674073 0.738665i \(-0.735457\pi\)
0.302666 + 0.953097i \(0.402123\pi\)
\(504\) 0.313999 + 2.17774i 0.0139866 + 0.0970041i
\(505\) −7.20294 + 1.93002i −0.320527 + 0.0858849i
\(506\) 30.2156 17.4450i 1.34325 0.775525i
\(507\) 12.5880 + 3.24673i 0.559054 + 0.144192i
\(508\) 13.5767 23.5155i 0.602369 1.04333i
\(509\) −9.11455 9.11455i −0.403995 0.403995i 0.475643 0.879638i \(-0.342215\pi\)
−0.879638 + 0.475643i \(0.842215\pi\)
\(510\) 26.0491 + 15.0394i 1.15347 + 0.665957i
\(511\) −20.3508 + 2.93429i −0.900266 + 0.129806i
\(512\) −20.9607 + 20.9607i −0.926340 + 0.926340i
\(513\) −0.249443 0.930935i −0.0110132 0.0411018i
\(514\) −27.7432 + 27.7432i −1.22370 + 1.22370i
\(515\) −17.9844 + 4.81889i −0.792485 + 0.212346i
\(516\) −24.2684 14.0114i −1.06836 0.616816i
\(517\) −4.70614 + 8.15128i −0.206976 + 0.358493i
\(518\) −0.904247 + 7.58853i −0.0397303 + 0.333421i
\(519\) 18.3415i 0.805104i
\(520\) 5.82144 0.794198i 0.255287 0.0348279i
\(521\) −9.09809 5.25278i −0.398594 0.230129i 0.287283 0.957846i \(-0.407248\pi\)
−0.685877 + 0.727717i \(0.740581\pi\)
\(522\) −21.1344 5.66294i −0.925027 0.247860i
\(523\) 0.571212i 0.0249773i 0.999922 + 0.0124887i \(0.00397537\pi\)
−0.999922 + 0.0124887i \(0.996025\pi\)
\(524\) 17.1473 + 29.6999i 0.749082 + 1.29745i
\(525\) −0.363288 + 3.04875i −0.0158552 + 0.133058i
\(526\) −6.97208 1.86816i −0.303997 0.0814558i
\(527\) −21.3815 + 5.72915i −0.931392 + 0.249566i
\(528\) −1.97840 7.38349i −0.0860988 0.321325i
\(529\) −21.0655 −0.915891
\(530\) −9.52071 −0.413553
\(531\) 1.22948 + 4.58848i 0.0533549 + 0.199123i
\(532\) 6.04859 0.872121i 0.262240 0.0378112i
\(533\) 2.62921 + 0.333606i 0.113884 + 0.0144501i
\(534\) −4.29764 7.44374i −0.185977 0.322122i
\(535\) −4.94725 + 18.4634i −0.213888 + 0.798242i
\(536\) −2.60883 4.51863i −0.112684 0.195175i
\(537\) −0.954758 + 1.65369i −0.0412008 + 0.0713620i
\(538\) 13.4133 + 13.4133i 0.578288 + 0.578288i
\(539\) −8.39684 + 15.4069i −0.361678 + 0.663622i
\(540\) −1.21544 + 4.53608i −0.0523041 + 0.195202i
\(541\) −3.18970 + 11.9041i −0.137136 + 0.511798i 0.862844 + 0.505470i \(0.168681\pi\)
−0.999980 + 0.00632795i \(0.997986\pi\)
\(542\) 16.4070i 0.704743i
\(543\) −16.3977 + 9.46719i −0.703691 + 0.406276i
\(544\) −41.7103 + 41.7103i −1.78832 + 1.78832i
\(545\) 11.6747 0.500089
\(546\) −14.3820 13.9014i −0.615492 0.594927i
\(547\) −16.2110 −0.693132 −0.346566 0.938026i \(-0.612652\pi\)
−0.346566 + 0.938026i \(0.612652\pi\)
\(548\) −9.65224 + 9.65224i −0.412323 + 0.412323i
\(549\) −8.18748 + 4.72704i −0.349433 + 0.201745i
\(550\) 6.09938i 0.260078i
\(551\) −2.60291 + 9.71418i −0.110887 + 0.413838i
\(552\) 1.42879 5.33234i 0.0608135 0.226959i
\(553\) 11.2658 4.82961i 0.479070 0.205376i
\(554\) 2.29682 + 2.29682i 0.0975826 + 0.0975826i
\(555\) −1.34965 + 2.33766i −0.0572893 + 0.0992281i
\(556\) −12.9797 22.4815i −0.550463 0.953429i
\(557\) 8.66766 32.3481i 0.367260 1.37063i −0.497070 0.867710i \(-0.665591\pi\)
0.864330 0.502924i \(-0.167743\pi\)
\(558\) −3.17000 5.49061i −0.134197 0.232436i
\(559\) 41.7715 5.69873i 1.76675 0.241031i
\(560\) 14.6792 + 5.86987i 0.620310 + 0.248047i
\(561\) −4.74955 17.7255i −0.200526 0.748373i
\(562\) −12.4598 −0.525584
\(563\) −0.157014 −0.00661736 −0.00330868 0.999995i \(-0.501053\pi\)
−0.00330868 + 0.999995i \(0.501053\pi\)
\(564\) 2.32914 + 8.69248i 0.0980747 + 0.366020i
\(565\) 21.4201 5.73951i 0.901152 0.241463i
\(566\) 9.43036 + 2.52686i 0.396388 + 0.106212i
\(567\) 2.43172 1.04247i 0.102123 0.0437797i
\(568\) 3.58543 + 6.21014i 0.150441 + 0.260572i
\(569\) 42.2556i 1.77145i −0.464213 0.885724i \(-0.653663\pi\)
0.464213 0.885724i \(-0.346337\pi\)
\(570\) 3.82488 + 1.02487i 0.160206 + 0.0429272i
\(571\) 28.4747 + 16.4399i 1.19163 + 0.687987i 0.958676 0.284502i \(-0.0918281\pi\)
0.232952 + 0.972488i \(0.425161\pi\)
\(572\) −17.2458 13.1051i −0.721084 0.547954i
\(573\) 10.7890i 0.450716i
\(574\) −3.26545 2.44245i −0.136297 0.101946i
\(575\) 3.85171 6.67136i 0.160627 0.278215i
\(576\) −9.34953 5.39795i −0.389564 0.224915i
\(577\) 41.6112 11.1497i 1.73230 0.464167i 0.751586 0.659635i \(-0.229289\pi\)
0.980710 + 0.195467i \(0.0626223\pi\)
\(578\) −54.2587 + 54.2587i −2.25686 + 2.25686i
\(579\) −5.08690 18.9846i −0.211404 0.788972i
\(580\) 34.6504 34.6504i 1.43878 1.43878i
\(581\) 29.7227 23.3934i 1.23310 0.970521i
\(582\) −18.5201 10.6926i −0.767685 0.443223i
\(583\) 4.10723 + 4.10723i 0.170104 + 0.170104i
\(584\) −3.23143 + 5.59700i −0.133717 + 0.231605i
\(585\) −2.73423 6.51444i −0.113046 0.269339i
\(586\) −20.3052 + 11.7232i −0.838800 + 0.484281i
\(587\) −15.3441 + 4.11144i −0.633318 + 0.169697i −0.561175 0.827697i \(-0.689651\pi\)
−0.0721432 + 0.997394i \(0.522984\pi\)
\(588\) 4.73928 + 16.0929i 0.195444 + 0.663662i
\(589\) −2.52369 + 1.45706i −0.103987 + 0.0600369i
\(590\) −18.8524 5.05149i −0.776142 0.207967i
\(591\) −8.10987 8.10987i −0.333595 0.333595i
\(592\) −2.97045 2.97045i −0.122085 0.122085i
\(593\) 18.7597 + 5.02665i 0.770369 + 0.206420i 0.622534 0.782592i \(-0.286103\pi\)
0.147834 + 0.989012i \(0.452770\pi\)
\(594\) 4.55179 2.62798i 0.186762 0.107827i
\(595\) 35.2404 + 14.0918i 1.44472 + 0.577708i
\(596\) 20.6518 5.53363i 0.845931 0.226666i
\(597\) −4.81053 + 2.77736i −0.196882 + 0.113670i
\(598\) 19.4225 + 46.2750i 0.794243 + 1.89232i
\(599\) 22.3885 38.7780i 0.914770 1.58443i 0.107531 0.994202i \(-0.465705\pi\)
0.807238 0.590226i \(-0.200961\pi\)
\(600\) 0.682407 + 0.682407i 0.0278592 + 0.0278592i
\(601\) −33.7722 19.4984i −1.37760 0.795355i −0.385726 0.922613i \(-0.626049\pi\)
−0.991870 + 0.127258i \(0.959382\pi\)
\(602\) −60.2297 24.0844i −2.45478 0.981608i
\(603\) −4.43646 + 4.43646i −0.180667 + 0.180667i
\(604\) 7.97789 + 29.7739i 0.324616 + 1.21148i
\(605\) 6.53531 6.53531i 0.265698 0.265698i
\(606\) 7.70779 2.06530i 0.313108 0.0838969i
\(607\) 27.6946 + 15.9895i 1.12409 + 0.648992i 0.942441 0.334372i \(-0.108524\pi\)
0.181646 + 0.983364i \(0.441857\pi\)
\(608\) −3.88276 + 6.72514i −0.157467 + 0.272741i
\(609\) −27.4141 3.26666i −1.11088 0.132372i
\(610\) 38.8434i 1.57272i
\(611\) −10.7794 8.19132i −0.436089 0.331386i
\(612\) −15.1947 8.77265i −0.614209 0.354613i
\(613\) −21.4241 5.74057i −0.865311 0.231859i −0.201252 0.979540i \(-0.564501\pi\)
−0.664059 + 0.747680i \(0.731168\pi\)
\(614\) 7.82757i 0.315895i
\(615\) −0.720162 1.24736i −0.0290398 0.0502983i
\(616\) 2.17311 + 5.06909i 0.0875570 + 0.204239i
\(617\) 19.7363 + 5.28833i 0.794554 + 0.212900i 0.633192 0.773995i \(-0.281744\pi\)
0.161363 + 0.986895i \(0.448411\pi\)
\(618\) 19.2449 5.15665i 0.774142 0.207431i
\(619\) −7.46806 27.8712i −0.300167 1.12024i −0.937027 0.349258i \(-0.886434\pi\)
0.636860 0.770980i \(-0.280233\pi\)
\(620\) 14.1993 0.570258
\(621\) −6.63818 −0.266381
\(622\) −17.6737 65.9592i −0.708651 2.64472i
\(623\) −6.70766 8.52248i −0.268737 0.341446i
\(624\) 10.8941 1.48625i 0.436114 0.0594974i
\(625\) −8.92548 15.4594i −0.357019 0.618375i
\(626\) 7.96615 29.7301i 0.318391 1.18825i
\(627\) −1.20792 2.09218i −0.0482397 0.0835535i
\(628\) −5.47316 + 9.47979i −0.218403 + 0.378285i
\(629\) −7.13115 7.13115i −0.284338 0.284338i
\(630\) −1.28622 + 10.7941i −0.0512442 + 0.430046i
\(631\) −0.897330 + 3.34888i −0.0357221 + 0.133317i −0.981484 0.191544i \(-0.938651\pi\)
0.945762 + 0.324860i \(0.105317\pi\)
\(632\) 0.997169 3.72148i 0.0396652 0.148033i
\(633\) 16.1268i 0.640982i
\(634\) −18.6503 + 10.7677i −0.740697 + 0.427641i
\(635\) 15.6982 15.6982i 0.622965 0.622965i
\(636\) 5.55353 0.220212
\(637\) −20.4647 14.7715i −0.810840 0.585268i
\(638\) −54.8451 −2.17134
\(639\) 6.09722 6.09722i 0.241202 0.241202i
\(640\) 11.0678 6.38997i 0.437491 0.252586i
\(641\) 6.69397i 0.264396i −0.991223 0.132198i \(-0.957797\pi\)
0.991223 0.132198i \(-0.0422035\pi\)
\(642\) 5.29400 19.7575i 0.208938 0.779766i
\(643\) −11.3176 + 42.2380i −0.446324 + 1.66570i 0.266092 + 0.963948i \(0.414268\pi\)
−0.712416 + 0.701757i \(0.752399\pi\)
\(644\) 4.98040 41.7960i 0.196255 1.64699i
\(645\) −16.2008 16.2008i −0.637907 0.637907i
\(646\) −7.39721 + 12.8123i −0.291039 + 0.504095i
\(647\) 1.21242 + 2.09997i 0.0476652 + 0.0825585i 0.888874 0.458152i \(-0.151489\pi\)
−0.841208 + 0.540711i \(0.818155\pi\)
\(648\) 0.215239 0.803282i 0.00845538 0.0315559i
\(649\) 5.95371 + 10.3121i 0.233704 + 0.404787i
\(650\) −8.70356 1.10435i −0.341382 0.0433161i
\(651\) −4.94766 6.28630i −0.193914 0.246380i
\(652\) −1.59129 5.93876i −0.0623196 0.232580i
\(653\) 18.9747 0.742539 0.371269 0.928525i \(-0.378923\pi\)
0.371269 + 0.928525i \(0.378923\pi\)
\(654\) −12.4930 −0.488513
\(655\) 7.25709 + 27.0838i 0.283558 + 1.05825i
\(656\) 2.16516 0.580154i 0.0845354 0.0226512i
\(657\) 7.50661 + 2.01139i 0.292861 + 0.0784718i
\(658\) 8.20778 + 19.1459i 0.319973 + 0.746383i
\(659\) −1.16446 2.01691i −0.0453610 0.0785676i 0.842453 0.538769i \(-0.181110\pi\)
−0.887814 + 0.460202i \(0.847777\pi\)
\(660\) 11.7714i 0.458202i
\(661\) −24.8482 6.65805i −0.966482 0.258968i −0.259140 0.965840i \(-0.583439\pi\)
−0.707342 + 0.706872i \(0.750106\pi\)
\(662\) 45.9612 + 26.5357i 1.78633 + 1.03134i
\(663\) 26.1535 3.56803i 1.01572 0.138571i
\(664\) 11.8891i 0.461385i
\(665\) 4.96137 + 0.591196i 0.192394 + 0.0229256i
\(666\) 1.44424 2.50150i 0.0559633 0.0969313i
\(667\) 59.9883 + 34.6343i 2.32276 + 1.34104i
\(668\) 17.0296 4.56306i 0.658894 0.176550i
\(669\) 18.7830 18.7830i 0.726192 0.726192i
\(670\) −6.67184 24.8997i −0.257756 0.961958i
\(671\) −16.7570 + 16.7570i −0.646898 + 0.646898i
\(672\) −19.7940 7.91516i −0.763571 0.305334i
\(673\) −24.9952 14.4310i −0.963493 0.556273i −0.0662467 0.997803i \(-0.521102\pi\)
−0.897246 + 0.441530i \(0.854436\pi\)
\(674\) 1.09957 + 1.09957i 0.0423540 + 0.0423540i
\(675\) 0.580235 1.00500i 0.0223333 0.0386824i
\(676\) 21.8230 22.2362i 0.839346 0.855240i
\(677\) 13.4814 7.78352i 0.518134 0.299145i −0.218037 0.975941i \(-0.569965\pi\)
0.736171 + 0.676796i \(0.236632\pi\)
\(678\) −22.9215 + 6.14179i −0.880293 + 0.235874i
\(679\) −25.0549 10.0189i −0.961520 0.384489i
\(680\) 10.3314 5.96481i 0.396189 0.228740i
\(681\) 1.71699 + 0.460067i 0.0657954 + 0.0176298i
\(682\) −11.2374 11.2374i −0.430304 0.430304i
\(683\) −29.7469 29.7469i −1.13823 1.13823i −0.988767 0.149467i \(-0.952244\pi\)
−0.149467 0.988767i \(-0.547756\pi\)
\(684\) −2.23109 0.597819i −0.0853078 0.0228582i
\(685\) −9.66529 + 5.58026i −0.369292 + 0.213211i
\(686\) 16.1743 + 35.3048i 0.617538 + 1.34794i
\(687\) −8.68390 + 2.32685i −0.331312 + 0.0887747i
\(688\) 30.8794 17.8282i 1.17727 0.679695i
\(689\) −6.60449 + 5.11719i −0.251611 + 0.194949i
\(690\) 13.6370 23.6199i 0.519150 0.899194i
\(691\) 15.4899 + 15.4899i 0.589263 + 0.589263i 0.937432 0.348169i \(-0.113197\pi\)
−0.348169 + 0.937432i \(0.613197\pi\)
\(692\) 38.0684 + 21.9788i 1.44714 + 0.835508i
\(693\) 5.21143 4.10168i 0.197966 0.155810i
\(694\) −50.6735 + 50.6735i −1.92354 + 1.92354i
\(695\) −5.49329 20.5013i −0.208373 0.777657i
\(696\) −6.13615 + 6.13615i −0.232590 + 0.232590i
\(697\) 5.19791 1.39278i 0.196885 0.0527551i
\(698\) −50.9389 29.4096i −1.92807 1.11317i
\(699\) 0.514845 0.891738i 0.0194732 0.0337286i
\(700\) 5.89243 + 4.40735i 0.222713 + 0.166582i
\(701\) 15.8478i 0.598564i −0.954165 0.299282i \(-0.903253\pi\)
0.954165 0.299282i \(-0.0967471\pi\)
\(702\) 2.92587 + 6.97103i 0.110430 + 0.263105i
\(703\) −1.14979 0.663830i −0.0433650 0.0250368i
\(704\) −26.1394 7.00403i −0.985165 0.263974i
\(705\) 7.35769i 0.277107i
\(706\) −10.1229 17.5334i −0.380981 0.659879i
\(707\) 9.25423 3.96727i 0.348041 0.149204i
\(708\) 10.9968 + 2.94659i 0.413285 + 0.110739i
\(709\) −46.6694 + 12.5050i −1.75271 + 0.469637i −0.985201 0.171404i \(-0.945170\pi\)
−0.767507 + 0.641041i \(0.778503\pi\)
\(710\) 9.16940 + 34.2207i 0.344121 + 1.28428i
\(711\) −4.63285 −0.173745
\(712\) −3.40899 −0.127757
\(713\) 5.19489 + 19.3876i 0.194550 + 0.726071i
\(714\) −37.7104 15.0795i −1.41128 0.564336i
\(715\) −10.8466 13.9991i −0.405638 0.523536i
\(716\) 2.28818 + 3.96325i 0.0855134 + 0.148114i
\(717\) −4.84422 + 18.0789i −0.180911 + 0.675168i
\(718\) 35.8473 + 62.0893i 1.33781 + 2.31715i
\(719\) 5.32163 9.21734i 0.198463 0.343749i −0.749567 0.661928i \(-0.769738\pi\)
0.948030 + 0.318180i \(0.103072\pi\)
\(720\) −4.22522 4.22522i −0.157465 0.157465i
\(721\) 23.1060 9.90549i 0.860513 0.368900i
\(722\) 9.80710 36.6006i 0.364983 1.36213i
\(723\) 0.760109 2.83676i 0.0282688 0.105500i
\(724\) 45.3784i 1.68647i
\(725\) −10.4870 + 6.05467i −0.389478 + 0.224865i
\(726\) −6.99336 + 6.99336i −0.259548 + 0.259548i
\(727\) 5.89296 0.218558 0.109279 0.994011i \(-0.465146\pi\)
0.109279 + 0.994011i \(0.465146\pi\)
\(728\) −7.62684 + 2.18313i −0.282669 + 0.0809120i
\(729\) −1.00000 −0.0370370
\(730\) −22.5779 + 22.5779i −0.835645 + 0.835645i
\(731\) 74.1322 42.8003i 2.74188 1.58302i
\(732\) 22.6578i 0.837455i
\(733\) 9.93532 37.0791i 0.366970 1.36955i −0.497762 0.867314i \(-0.665845\pi\)
0.864731 0.502235i \(-0.167489\pi\)
\(734\) 14.5362 54.2499i 0.536542 2.00240i
\(735\) 0.337366 + 13.7122i 0.0124439 + 0.505780i
\(736\) 37.8207 + 37.8207i 1.39409 + 1.39409i
\(737\) −7.86347 + 13.6199i −0.289655 + 0.501696i
\(738\) 0.770638 + 1.33478i 0.0283676 + 0.0491341i
\(739\) −5.34503 + 19.9479i −0.196620 + 0.733796i 0.795221 + 0.606319i \(0.207355\pi\)
−0.991842 + 0.127477i \(0.959312\pi\)
\(740\) 3.23458 + 5.60246i 0.118906 + 0.205950i
\(741\) 3.20415 1.34484i 0.117708 0.0494040i
\(742\) 12.7236 1.83457i 0.467099 0.0673491i
\(743\) 8.72671 + 32.5685i 0.320152 + 1.19482i 0.919097 + 0.394033i \(0.128920\pi\)
−0.598945 + 0.800790i \(0.704413\pi\)
\(744\) −2.51452 −0.0921867
\(745\) 17.4806 0.640439
\(746\) −1.98879 7.42228i −0.0728150 0.271749i
\(747\) −13.8092 + 3.70015i −0.505251 + 0.135381i
\(748\) −42.4812 11.3828i −1.55327 0.416197i
\(749\) 3.05384 25.6281i 0.111585 0.936430i
\(750\) 12.6556 + 21.9201i 0.462116 + 0.800409i
\(751\) 31.7749i 1.15948i 0.814801 + 0.579741i \(0.196846\pi\)
−0.814801 + 0.579741i \(0.803154\pi\)
\(752\) −11.0604 2.96363i −0.403332 0.108072i
\(753\) 0.424072 + 0.244838i 0.0154540 + 0.00892240i
\(754\) 9.93020 78.2617i 0.361637 2.85012i
\(755\) 25.2019i 0.917191i
\(756\) 0.750265 6.29629i 0.0272869 0.228994i
\(757\) −13.6215 + 23.5930i −0.495080 + 0.857504i −0.999984 0.00567171i \(-0.998195\pi\)
0.504904 + 0.863176i \(0.331528\pi\)
\(758\) 43.2436 + 24.9667i 1.57068 + 0.906831i
\(759\) −16.0726 + 4.30664i −0.583398 + 0.156321i
\(760\) 1.11051 1.11051i 0.0402826 0.0402826i
\(761\) 7.38152 + 27.5482i 0.267580 + 0.998622i 0.960652 + 0.277754i \(0.0895900\pi\)
−0.693072 + 0.720868i \(0.743743\pi\)
\(762\) −16.7985 + 16.7985i −0.608546 + 0.608546i
\(763\) −15.6022 + 2.24962i −0.564839 + 0.0814418i
\(764\) 22.3928 + 12.9285i 0.810143 + 0.467736i
\(765\) −10.1435 10.1435i −0.366739 0.366739i
\(766\) 32.0817 55.5671i 1.15916 2.00772i
\(767\) −15.7929 + 6.62859i −0.570250 + 0.239344i
\(768\) 6.85557 3.95806i 0.247379 0.142824i
\(769\) −27.2629 + 7.30506i −0.983124 + 0.263427i −0.714360 0.699779i \(-0.753282\pi\)
−0.268764 + 0.963206i \(0.586615\pi\)
\(770\) 3.88861 + 26.9694i 0.140136 + 0.971910i
\(771\) 16.2048 9.35585i 0.583602 0.336943i
\(772\) −45.4986 12.1913i −1.63753 0.438775i
\(773\) 8.57861 + 8.57861i 0.308551 + 0.308551i 0.844347 0.535796i \(-0.179989\pi\)
−0.535796 + 0.844347i \(0.679989\pi\)
\(774\) 17.3363