Properties

Label 483.2.y.b.4.4
Level $483$
Weight $2$
Character 483.4
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 4.4
Character \(\chi\) \(=\) 483.4
Dual form 483.2.y.b.121.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.09595 + 1.53904i) q^{2} +(0.235759 - 0.971812i) q^{3} +(-0.513414 - 1.48341i) q^{4} +(-0.133721 + 2.80715i) q^{5} +(1.23728 + 1.42790i) q^{6} +(2.23077 + 1.42255i) q^{7} +(-0.779983 - 0.229024i) q^{8} +(-0.888835 - 0.458227i) q^{9} +O(q^{10})\) \(q+(-1.09595 + 1.53904i) q^{2} +(0.235759 - 0.971812i) q^{3} +(-0.513414 - 1.48341i) q^{4} +(-0.133721 + 2.80715i) q^{5} +(1.23728 + 1.42790i) q^{6} +(2.23077 + 1.42255i) q^{7} +(-0.779983 - 0.229024i) q^{8} +(-0.888835 - 0.458227i) q^{9} +(-4.17377 - 3.28229i) q^{10} +(-2.07040 - 2.90747i) q^{11} +(-1.56264 + 0.149214i) q^{12} +(-0.881180 + 6.12874i) q^{13} +(-4.63417 + 1.87421i) q^{14} +(2.69650 + 0.791763i) q^{15} +(3.67510 - 2.89013i) q^{16} +(-5.23725 + 1.00940i) q^{17} +(1.67935 - 0.865763i) q^{18} +(4.41889 + 0.851671i) q^{19} +(4.23281 - 1.24287i) q^{20} +(1.90838 - 1.83251i) q^{21} +6.74377 q^{22} +(2.77508 + 3.91138i) q^{23} +(-0.406456 + 0.704002i) q^{24} +(-2.88485 - 0.275470i) q^{25} +(-8.46666 - 8.07294i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(0.964924 - 4.03951i) q^{28} +(-2.23847 - 2.58333i) q^{29} +(-4.17377 + 3.28229i) q^{30} +(-1.70366 + 1.62443i) q^{31} +(0.342959 + 7.19959i) q^{32} +(-3.31363 + 1.32658i) q^{33} +(4.18624 - 9.16659i) q^{34} +(-4.29162 + 6.07189i) q^{35} +(-0.223398 + 1.55377i) q^{36} +(-10.2548 - 5.28670i) q^{37} +(-6.15362 + 5.86746i) q^{38} +(5.74823 + 2.30125i) q^{39} +(0.747204 - 2.15890i) q^{40} +(-4.59749 - 2.95463i) q^{41} +(0.728828 + 4.94541i) q^{42} +(-11.2004 + 3.28874i) q^{43} +(-3.25001 + 4.56400i) q^{44} +(1.40517 - 2.43382i) q^{45} +(-9.06112 - 0.0157046i) q^{46} +(1.95345 + 3.38348i) q^{47} +(-1.94223 - 4.25288i) q^{48} +(2.95268 + 6.34678i) q^{49} +(3.58560 - 4.13801i) q^{50} +(-0.253785 + 5.32760i) q^{51} +(9.54385 - 1.83943i) q^{52} +(11.2358 + 4.49814i) q^{53} +(-0.445438 - 1.83612i) q^{54} +(8.43858 - 5.42314i) q^{55} +(-1.41416 - 1.62047i) q^{56} +(1.86946 - 4.09354i) q^{57} +(6.42909 - 0.613904i) q^{58} +(1.07265 + 0.843543i) q^{59} +(-0.209908 - 4.40651i) q^{60} +(0.475186 + 1.95874i) q^{61} +(-0.632954 - 4.40229i) q^{62} +(-1.33094 - 2.28661i) q^{63} +(-3.58995 - 2.30712i) q^{64} +(-17.0865 - 3.29315i) q^{65} +(1.58991 - 6.55368i) q^{66} +(-3.03636 - 0.289937i) q^{67} +(4.18623 + 7.25076i) q^{68} +(4.45538 - 1.77471i) q^{69} +(-4.64149 - 13.2594i) q^{70} +(2.26087 + 4.95062i) q^{71} +(0.588332 + 0.560973i) q^{72} +(-2.16069 - 6.24291i) q^{73} +(19.3751 - 9.98858i) q^{74} +(-0.947835 + 2.73859i) q^{75} +(-1.00534 - 6.99229i) q^{76} +(-0.482558 - 9.43117i) q^{77} +(-9.84147 + 6.32473i) q^{78} +(1.61971 - 0.648432i) q^{79} +(7.62160 + 10.7030i) q^{80} +(0.580057 + 0.814576i) q^{81} +(9.58589 - 3.83761i) q^{82} +(11.9027 - 7.64938i) q^{83} +(-3.69815 - 1.89007i) q^{84} +(-2.13320 - 14.8367i) q^{85} +(7.21355 - 20.8422i) q^{86} +(-3.03825 + 1.56633i) q^{87} +(0.948999 + 2.74195i) q^{88} +(5.88277 + 5.60921i) q^{89} +(2.20576 + 4.82995i) q^{90} +(-10.6842 + 12.4183i) q^{91} +(4.37743 - 6.12474i) q^{92} +(1.17699 + 2.03861i) q^{93} +(-7.34820 - 0.701668i) q^{94} +(-2.98167 + 12.2906i) q^{95} +(7.07750 + 1.36408i) q^{96} +(10.5374 + 6.77197i) q^{97} +(-13.0039 - 2.41143i) q^{98} +(0.507966 + 3.53298i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.09595 + 1.53904i −0.774951 + 1.08827i 0.218703 + 0.975791i \(0.429817\pi\)
−0.993655 + 0.112475i \(0.964122\pi\)
\(3\) 0.235759 0.971812i 0.136115 0.561076i
\(4\) −0.513414 1.48341i −0.256707 0.741706i
\(5\) −0.133721 + 2.80715i −0.0598019 + 1.25540i 0.747100 + 0.664711i \(0.231445\pi\)
−0.806902 + 0.590685i \(0.798858\pi\)
\(6\) 1.23728 + 1.42790i 0.505117 + 0.582936i
\(7\) 2.23077 + 1.42255i 0.843152 + 0.537675i
\(8\) −0.779983 0.229024i −0.275766 0.0809721i
\(9\) −0.888835 0.458227i −0.296278 0.152742i
\(10\) −4.17377 3.28229i −1.31986 1.03795i
\(11\) −2.07040 2.90747i −0.624250 0.876637i 0.374469 0.927240i \(-0.377825\pi\)
−0.998719 + 0.0506029i \(0.983886\pi\)
\(12\) −1.56264 + 0.149214i −0.451095 + 0.0430743i
\(13\) −0.881180 + 6.12874i −0.244395 + 1.69981i 0.385159 + 0.922850i \(0.374147\pi\)
−0.629554 + 0.776956i \(0.716763\pi\)
\(14\) −4.63417 + 1.87421i −1.23854 + 0.500903i
\(15\) 2.69650 + 0.791763i 0.696232 + 0.204432i
\(16\) 3.67510 2.89013i 0.918776 0.722533i
\(17\) −5.23725 + 1.00940i −1.27022 + 0.244815i −0.779445 0.626471i \(-0.784499\pi\)
−0.490776 + 0.871286i \(0.663287\pi\)
\(18\) 1.67935 0.865763i 0.395826 0.204062i
\(19\) 4.41889 + 0.851671i 1.01376 + 0.195387i 0.668968 0.743292i \(-0.266736\pi\)
0.344795 + 0.938678i \(0.387949\pi\)
\(20\) 4.23281 1.24287i 0.946486 0.277913i
\(21\) 1.90838 1.83251i 0.416442 0.399886i
\(22\) 6.74377 1.43778
\(23\) 2.77508 + 3.91138i 0.578644 + 0.815580i
\(24\) −0.406456 + 0.704002i −0.0829674 + 0.143704i
\(25\) −2.88485 0.275470i −0.576971 0.0550940i
\(26\) −8.46666 8.07294i −1.66045 1.58323i
\(27\) −0.654861 + 0.755750i −0.126028 + 0.145444i
\(28\) 0.964924 4.03951i 0.182353 0.763396i
\(29\) −2.23847 2.58333i −0.415673 0.479712i 0.508841 0.860861i \(-0.330074\pi\)
−0.924514 + 0.381148i \(0.875529\pi\)
\(30\) −4.17377 + 3.28229i −0.762023 + 0.599261i
\(31\) −1.70366 + 1.62443i −0.305986 + 0.291757i −0.827477 0.561500i \(-0.810224\pi\)
0.521491 + 0.853257i \(0.325376\pi\)
\(32\) 0.342959 + 7.19959i 0.0606271 + 1.27272i
\(33\) −3.31363 + 1.32658i −0.576830 + 0.230928i
\(34\) 4.18624 9.16659i 0.717935 1.57206i
\(35\) −4.29162 + 6.07189i −0.725417 + 1.02634i
\(36\) −0.223398 + 1.55377i −0.0372330 + 0.258961i
\(37\) −10.2548 5.28670i −1.68587 0.869129i −0.988283 0.152634i \(-0.951225\pi\)
−0.697592 0.716495i \(-0.745745\pi\)
\(38\) −6.15362 + 5.86746i −0.998249 + 0.951828i
\(39\) 5.74823 + 2.30125i 0.920454 + 0.368494i
\(40\) 0.747204 2.15890i 0.118143 0.341353i
\(41\) −4.59749 2.95463i −0.718007 0.461435i 0.129936 0.991522i \(-0.458523\pi\)
−0.847943 + 0.530087i \(0.822159\pi\)
\(42\) 0.728828 + 4.94541i 0.112461 + 0.763093i
\(43\) −11.2004 + 3.28874i −1.70805 + 0.501528i −0.982440 0.186580i \(-0.940260\pi\)
−0.725608 + 0.688108i \(0.758441\pi\)
\(44\) −3.25001 + 4.56400i −0.489957 + 0.688049i
\(45\) 1.40517 2.43382i 0.209470 0.362813i
\(46\) −9.06112 0.0157046i −1.33599 0.00231552i
\(47\) 1.95345 + 3.38348i 0.284941 + 0.493532i 0.972595 0.232507i \(-0.0746928\pi\)
−0.687654 + 0.726038i \(0.741359\pi\)
\(48\) −1.94223 4.25288i −0.280336 0.613851i
\(49\) 2.95268 + 6.34678i 0.421812 + 0.906683i
\(50\) 3.58560 4.13801i 0.507081 0.585203i
\(51\) −0.253785 + 5.32760i −0.0355370 + 0.746013i
\(52\) 9.54385 1.83943i 1.32349 0.255083i
\(53\) 11.2358 + 4.49814i 1.54336 + 0.617866i 0.978301 0.207187i \(-0.0664310\pi\)
0.565054 + 0.825054i \(0.308855\pi\)
\(54\) −0.445438 1.83612i −0.0606164 0.249864i
\(55\) 8.43858 5.42314i 1.13786 0.731257i
\(56\) −1.41416 1.62047i −0.188976 0.216544i
\(57\) 1.86946 4.09354i 0.247615 0.542202i
\(58\) 6.42909 0.613904i 0.844181 0.0806095i
\(59\) 1.07265 + 0.843543i 0.139647 + 0.109820i 0.685539 0.728036i \(-0.259567\pi\)
−0.545892 + 0.837856i \(0.683809\pi\)
\(60\) −0.209908 4.40651i −0.0270990 0.568879i
\(61\) 0.475186 + 1.95874i 0.0608414 + 0.250791i 0.994108 0.108392i \(-0.0345703\pi\)
−0.933267 + 0.359184i \(0.883055\pi\)
\(62\) −0.632954 4.40229i −0.0803852 0.559091i
\(63\) −1.33094 2.28661i −0.167682 0.288086i
\(64\) −3.58995 2.30712i −0.448744 0.288390i
\(65\) −17.0865 3.29315i −2.11931 0.408464i
\(66\) 1.58991 6.55368i 0.195704 0.806702i
\(67\) −3.03636 0.289937i −0.370951 0.0354215i −0.0920838 0.995751i \(-0.529353\pi\)
−0.278867 + 0.960330i \(0.589959\pi\)
\(68\) 4.18623 + 7.25076i 0.507655 + 0.879284i
\(69\) 4.45538 1.77471i 0.536365 0.213650i
\(70\) −4.64149 13.2594i −0.554765 1.58481i
\(71\) 2.26087 + 4.95062i 0.268316 + 0.587530i 0.995049 0.0993905i \(-0.0316893\pi\)
−0.726733 + 0.686921i \(0.758962\pi\)
\(72\) 0.588332 + 0.560973i 0.0693355 + 0.0661113i
\(73\) −2.16069 6.24291i −0.252890 0.730677i −0.997969 0.0637013i \(-0.979710\pi\)
0.745079 0.666976i \(-0.232412\pi\)
\(74\) 19.3751 9.98858i 2.25231 1.16115i
\(75\) −0.947835 + 2.73859i −0.109447 + 0.316225i
\(76\) −1.00534 6.99229i −0.115320 0.802070i
\(77\) −0.482558 9.43117i −0.0549926 1.07478i
\(78\) −9.84147 + 6.32473i −1.11433 + 0.716134i
\(79\) 1.61971 0.648432i 0.182231 0.0729543i −0.278753 0.960363i \(-0.589921\pi\)
0.460984 + 0.887409i \(0.347497\pi\)
\(80\) 7.62160 + 10.7030i 0.852121 + 1.19664i
\(81\) 0.580057 + 0.814576i 0.0644508 + 0.0905084i
\(82\) 9.58589 3.83761i 1.05858 0.423793i
\(83\) 11.9027 7.64938i 1.30649 0.839629i 0.312585 0.949890i \(-0.398805\pi\)
0.993903 + 0.110261i \(0.0351686\pi\)
\(84\) −3.69815 1.89007i −0.403502 0.206224i
\(85\) −2.13320 14.8367i −0.231378 1.60927i
\(86\) 7.21355 20.8422i 0.777857 2.24747i
\(87\) −3.03825 + 1.56633i −0.325734 + 0.167928i
\(88\) 0.948999 + 2.74195i 0.101164 + 0.292293i
\(89\) 5.88277 + 5.60921i 0.623572 + 0.594575i 0.934546 0.355844i \(-0.115806\pi\)
−0.310973 + 0.950419i \(0.600655\pi\)
\(90\) 2.20576 + 4.82995i 0.232508 + 0.509121i
\(91\) −10.6842 + 12.4183i −1.12001 + 1.30179i
\(92\) 4.37743 6.12474i 0.456379 0.638549i
\(93\) 1.17699 + 2.03861i 0.122048 + 0.211394i
\(94\) −7.34820 0.701668i −0.757909 0.0723716i
\(95\) −2.98167 + 12.2906i −0.305912 + 1.26099i
\(96\) 7.07750 + 1.36408i 0.722344 + 0.139220i
\(97\) 10.5374 + 6.77197i 1.06991 + 0.687590i 0.952205 0.305459i \(-0.0988098\pi\)
0.117705 + 0.993049i \(0.462446\pi\)
\(98\) −13.0039 2.41143i −1.31360 0.243592i
\(99\) 0.507966 + 3.53298i 0.0510525 + 0.355078i
\(100\) 1.07249 + 4.42086i 0.107249 + 0.442086i
\(101\) 0.181782 + 3.81606i 0.0180879 + 0.379713i 0.989702 + 0.143142i \(0.0457205\pi\)
−0.971614 + 0.236571i \(0.923976\pi\)
\(102\) −7.92126 6.22934i −0.784321 0.616797i
\(103\) 8.58193 0.819475i 0.845602 0.0807452i 0.336745 0.941596i \(-0.390674\pi\)
0.508858 + 0.860851i \(0.330068\pi\)
\(104\) 2.09093 4.57850i 0.205033 0.448959i
\(105\) 4.88894 + 5.60215i 0.477112 + 0.546714i
\(106\) −19.2366 + 12.3626i −1.86843 + 1.20077i
\(107\) 2.08016 + 8.57455i 0.201097 + 0.828933i 0.979545 + 0.201224i \(0.0644920\pi\)
−0.778448 + 0.627709i \(0.783993\pi\)
\(108\) 1.45730 + 0.583416i 0.140229 + 0.0561392i
\(109\) 14.7759 2.84781i 1.41527 0.272771i 0.576429 0.817147i \(-0.304446\pi\)
0.838841 + 0.544376i \(0.183234\pi\)
\(110\) −0.901785 + 18.9308i −0.0859818 + 1.80498i
\(111\) −7.55534 + 8.71932i −0.717121 + 0.827601i
\(112\) 12.3097 1.21920i 1.16316 0.115203i
\(113\) 7.12927 + 15.6109i 0.670665 + 1.46855i 0.872240 + 0.489078i \(0.162667\pi\)
−0.201575 + 0.979473i \(0.564606\pi\)
\(114\) 4.25130 + 7.36346i 0.398171 + 0.689652i
\(115\) −11.3509 + 7.26703i −1.05848 + 0.677654i
\(116\) −2.68288 + 4.64688i −0.249099 + 0.431452i
\(117\) 3.59157 5.04366i 0.332041 0.466287i
\(118\) −2.47382 + 0.726378i −0.227733 + 0.0668685i
\(119\) −13.1190 5.19854i −1.20262 0.476549i
\(120\) −1.92189 1.23512i −0.175444 0.112751i
\(121\) −0.569091 + 1.64428i −0.0517356 + 0.149480i
\(122\) −3.53537 1.41535i −0.320077 0.128140i
\(123\) −3.95524 + 3.77131i −0.356632 + 0.340048i
\(124\) 3.28438 + 1.69322i 0.294946 + 0.152055i
\(125\) −0.840709 + 5.84726i −0.0751953 + 0.522995i
\(126\) 4.97783 + 0.457640i 0.443460 + 0.0407698i
\(127\) 6.34506 13.8937i 0.563033 1.23287i −0.387391 0.921915i \(-0.626624\pi\)
0.950425 0.310955i \(-0.100649\pi\)
\(128\) −5.89774 + 2.36110i −0.521292 + 0.208694i
\(129\) 0.555436 + 11.6600i 0.0489034 + 1.02661i
\(130\) 23.7941 22.6877i 2.08688 1.98984i
\(131\) 8.07442 6.34979i 0.705465 0.554784i −0.199693 0.979858i \(-0.563995\pi\)
0.905158 + 0.425075i \(0.139752\pi\)
\(132\) 3.66913 + 4.23440i 0.319357 + 0.368557i
\(133\) 8.64598 + 8.18599i 0.749701 + 0.709815i
\(134\) 3.77392 4.35533i 0.326017 0.376243i
\(135\) −2.03393 1.93935i −0.175053 0.166913i
\(136\) 4.31614 + 0.412142i 0.370106 + 0.0353409i
\(137\) 3.86618 6.69642i 0.330310 0.572114i −0.652262 0.757993i \(-0.726180\pi\)
0.982573 + 0.185879i \(0.0595133\pi\)
\(138\) −2.15150 + 8.80200i −0.183148 + 0.749276i
\(139\) −0.399115 −0.0338525 −0.0169262 0.999857i \(-0.505388\pi\)
−0.0169262 + 0.999857i \(0.505388\pi\)
\(140\) 11.2105 + 3.24885i 0.947459 + 0.274578i
\(141\) 3.74865 1.10070i 0.315694 0.0926960i
\(142\) −10.0970 1.94604i −0.847321 0.163308i
\(143\) 19.6436 10.1270i 1.64268 0.846859i
\(144\) −4.59090 + 0.884823i −0.382575 + 0.0737353i
\(145\) 7.55112 5.93827i 0.627087 0.493146i
\(146\) 11.9761 + 3.51650i 0.991149 + 0.291028i
\(147\) 6.86400 1.37314i 0.566133 0.113255i
\(148\) −2.57742 + 17.9263i −0.211862 + 1.47353i
\(149\) −11.8930 + 1.13565i −0.974315 + 0.0930358i −0.570054 0.821608i \(-0.693078\pi\)
−0.404262 + 0.914643i \(0.632471\pi\)
\(150\) −3.17603 4.46010i −0.259321 0.364166i
\(151\) −5.12831 4.03295i −0.417336 0.328197i 0.387312 0.921949i \(-0.373404\pi\)
−0.804648 + 0.593752i \(0.797646\pi\)
\(152\) −3.25160 1.67632i −0.263740 0.135967i
\(153\) 5.11759 + 1.50266i 0.413732 + 0.121483i
\(154\) 15.0438 + 9.59338i 1.21227 + 0.773057i
\(155\) −4.33221 4.99964i −0.347972 0.401581i
\(156\) 0.462472 9.70849i 0.0370274 0.777301i
\(157\) −1.98534 5.73626i −0.158447 0.457803i 0.837635 0.546230i \(-0.183937\pi\)
−0.996083 + 0.0884263i \(0.971816\pi\)
\(158\) −0.777146 + 3.20344i −0.0618264 + 0.254852i
\(159\) 7.02028 9.85860i 0.556744 0.781838i
\(160\) −20.2562 −1.60139
\(161\) 0.626415 + 12.6731i 0.0493684 + 0.998781i
\(162\) −1.88938 −0.148443
\(163\) −5.85099 + 8.21657i −0.458285 + 0.643571i −0.977466 0.211093i \(-0.932298\pi\)
0.519181 + 0.854664i \(0.326237\pi\)
\(164\) −2.02251 + 8.33691i −0.157932 + 0.651003i
\(165\) −3.28080 9.47926i −0.255410 0.737959i
\(166\) −1.27197 + 26.7020i −0.0987243 + 2.07248i
\(167\) 2.84630 + 3.28480i 0.220253 + 0.254186i 0.855113 0.518442i \(-0.173488\pi\)
−0.634860 + 0.772627i \(0.718942\pi\)
\(168\) −1.90819 + 0.992262i −0.147220 + 0.0765547i
\(169\) −24.3116 7.13852i −1.87012 0.549117i
\(170\) 25.1722 + 12.9772i 1.93062 + 0.995304i
\(171\) −3.53741 2.78185i −0.270512 0.212733i
\(172\) 10.6290 + 14.9263i 0.810454 + 1.13812i
\(173\) −1.02865 + 0.0982238i −0.0782065 + 0.00746781i −0.134086 0.990970i \(-0.542810\pi\)
0.0558794 + 0.998438i \(0.482204\pi\)
\(174\) 0.919117 6.39260i 0.0696781 0.484622i
\(175\) −6.04358 4.71837i −0.456852 0.356675i
\(176\) −16.0119 4.70153i −1.20695 0.354391i
\(177\) 1.07265 0.843543i 0.0806255 0.0634046i
\(178\) −15.0800 + 2.90643i −1.13029 + 0.217846i
\(179\) 4.18725 2.15868i 0.312970 0.161347i −0.294584 0.955626i \(-0.595181\pi\)
0.607554 + 0.794278i \(0.292151\pi\)
\(180\) −4.33179 0.834884i −0.322873 0.0622286i
\(181\) 16.6787 4.89731i 1.23972 0.364015i 0.404810 0.914401i \(-0.367338\pi\)
0.834910 + 0.550386i \(0.185520\pi\)
\(182\) −7.40299 30.0532i −0.548746 2.22769i
\(183\) 2.01556 0.148994
\(184\) −1.26872 3.68637i −0.0935309 0.271763i
\(185\) 16.2119 28.0798i 1.19192 2.06446i
\(186\) −4.42742 0.422767i −0.324634 0.0309988i
\(187\) 13.7780 + 13.1373i 1.00755 + 0.960696i
\(188\) 4.01617 4.63490i 0.292909 0.338035i
\(189\) −2.53594 + 0.754330i −0.184462 + 0.0548694i
\(190\) −15.6480 18.0587i −1.13522 1.31012i
\(191\) −4.65240 + 3.65869i −0.336636 + 0.264733i −0.772139 0.635454i \(-0.780813\pi\)
0.435503 + 0.900187i \(0.356571\pi\)
\(192\) −3.08845 + 2.94483i −0.222890 + 0.212525i
\(193\) 1.12791 + 23.6777i 0.0811885 + 1.70436i 0.561678 + 0.827356i \(0.310156\pi\)
−0.480489 + 0.877001i \(0.659541\pi\)
\(194\) −21.9708 + 8.79577i −1.57741 + 0.631499i
\(195\) −7.22860 + 15.8284i −0.517651 + 1.13350i
\(196\) 7.89895 7.63857i 0.564210 0.545612i
\(197\) 1.90331 13.2378i 0.135605 0.943153i −0.802463 0.596702i \(-0.796478\pi\)
0.938068 0.346451i \(-0.112613\pi\)
\(198\) −5.99411 3.09018i −0.425983 0.219609i
\(199\) 7.40661 7.06219i 0.525041 0.500625i −0.380560 0.924756i \(-0.624269\pi\)
0.905601 + 0.424131i \(0.139420\pi\)
\(200\) 2.18705 + 0.875562i 0.154648 + 0.0619116i
\(201\) −0.997614 + 2.88242i −0.0703663 + 0.203310i
\(202\) −6.07230 3.90243i −0.427246 0.274574i
\(203\) −1.31858 8.94716i −0.0925465 0.627967i
\(204\) 8.03332 2.35879i 0.562445 0.165149i
\(205\) 8.90886 12.5107i 0.622222 0.873788i
\(206\) −8.14413 + 14.1060i −0.567428 + 0.982814i
\(207\) −0.674290 4.74819i −0.0468664 0.330022i
\(208\) 14.4745 + 25.0705i 1.00362 + 1.73833i
\(209\) −6.67267 14.6111i −0.461558 1.01067i
\(210\) −13.9800 + 1.38462i −0.964709 + 0.0955482i
\(211\) −8.24617 + 9.51658i −0.567689 + 0.655149i −0.964912 0.262574i \(-0.915429\pi\)
0.397222 + 0.917722i \(0.369974\pi\)
\(212\) 0.903973 18.9767i 0.0620851 1.30333i
\(213\) 5.34409 1.02999i 0.366171 0.0705736i
\(214\) −15.4763 6.19579i −1.05794 0.423536i
\(215\) −7.73425 31.8810i −0.527472 2.17427i
\(216\) 0.683865 0.439493i 0.0465311 0.0299037i
\(217\) −6.11131 + 1.20020i −0.414863 + 0.0814746i
\(218\) −11.8106 + 25.8617i −0.799917 + 1.75157i
\(219\) −6.57634 + 0.627964i −0.444388 + 0.0424339i
\(220\) −12.3772 9.73357i −0.834473 0.656237i
\(221\) −1.57137 32.9872i −0.105702 2.21896i
\(222\) −5.13915 21.1839i −0.344917 1.42177i
\(223\) 2.95591 + 20.5588i 0.197942 + 1.37672i 0.810243 + 0.586094i \(0.199335\pi\)
−0.612300 + 0.790625i \(0.709756\pi\)
\(224\) −9.47674 + 16.5485i −0.633191 + 1.10569i
\(225\) 2.43793 + 1.56676i 0.162529 + 0.104451i
\(226\) −31.8391 6.13649i −2.11791 0.408193i
\(227\) 0.228763 0.942974i 0.0151835 0.0625874i −0.963716 0.266930i \(-0.913991\pi\)
0.978899 + 0.204343i \(0.0655058\pi\)
\(228\) −7.03220 0.671494i −0.465719 0.0444708i
\(229\) 2.87850 + 4.98571i 0.190217 + 0.329465i 0.945322 0.326139i \(-0.105748\pi\)
−0.755105 + 0.655604i \(0.772414\pi\)
\(230\) 1.25575 25.4338i 0.0828016 1.67706i
\(231\) −9.27909 1.75453i −0.610519 0.115439i
\(232\) 1.15432 + 2.52761i 0.0757850 + 0.165946i
\(233\) 0.573603 + 0.546929i 0.0375780 + 0.0358305i 0.708635 0.705575i \(-0.249311\pi\)
−0.671057 + 0.741405i \(0.734160\pi\)
\(234\) 3.82623 + 11.0552i 0.250128 + 0.722699i
\(235\) −9.75917 + 5.03120i −0.636618 + 0.328199i
\(236\) 0.700607 2.02427i 0.0456056 0.131769i
\(237\) −0.248294 1.72692i −0.0161284 0.112176i
\(238\) 22.3785 14.4934i 1.45058 0.939469i
\(239\) 11.0218 7.08328i 0.712940 0.458179i −0.133234 0.991085i \(-0.542536\pi\)
0.846175 + 0.532906i \(0.178900\pi\)
\(240\) 12.1982 4.88342i 0.787391 0.315224i
\(241\) −6.73419 9.45685i −0.433787 0.609169i 0.538594 0.842565i \(-0.318956\pi\)
−0.972382 + 0.233396i \(0.925016\pi\)
\(242\) −1.90692 2.67790i −0.122582 0.172142i
\(243\) 0.928368 0.371662i 0.0595548 0.0238422i
\(244\) 2.66166 1.71054i 0.170395 0.109506i
\(245\) −18.2112 + 7.43993i −1.16347 + 0.475319i
\(246\) −1.46948 10.2204i −0.0936904 0.651631i
\(247\) −9.11350 + 26.3317i −0.579878 + 1.67545i
\(248\) 1.70086 0.876852i 0.108004 0.0556802i
\(249\) −4.62760 13.3706i −0.293262 0.847325i
\(250\) −8.07780 7.70217i −0.510885 0.487128i
\(251\) −4.92710 10.7888i −0.310996 0.680986i 0.688004 0.725707i \(-0.258487\pi\)
−0.998999 + 0.0447214i \(0.985760\pi\)
\(252\) −2.70867 + 3.14831i −0.170630 + 0.198325i
\(253\) 5.62672 16.1666i 0.353749 1.01639i
\(254\) 14.4292 + 24.9921i 0.905369 + 1.56814i
\(255\) −14.9214 1.42482i −0.934416 0.0892259i
\(256\) 4.84193 19.9587i 0.302620 1.24742i
\(257\) −1.72576 0.332613i −0.107650 0.0207479i 0.135142 0.990826i \(-0.456851\pi\)
−0.242792 + 0.970078i \(0.578063\pi\)
\(258\) −18.5540 11.9239i −1.15512 0.742352i
\(259\) −15.3554 26.3814i −0.954141 1.63926i
\(260\) 3.88733 + 27.0370i 0.241082 + 1.67676i
\(261\) 0.805879 + 3.32188i 0.0498827 + 0.205619i
\(262\) 0.923464 + 19.3859i 0.0570518 + 1.19766i
\(263\) 16.3236 + 12.8370i 1.00655 + 0.791563i 0.978122 0.208032i \(-0.0667059\pi\)
0.0284327 + 0.999596i \(0.490948\pi\)
\(264\) 2.88839 0.275808i 0.177768 0.0169748i
\(265\) −14.1294 + 30.9391i −0.867963 + 1.90057i
\(266\) −22.0741 + 4.33512i −1.35345 + 0.265803i
\(267\) 6.83801 4.39452i 0.418479 0.268940i
\(268\) 1.12881 + 4.65303i 0.0689533 + 0.284229i
\(269\) 19.7216 + 7.89536i 1.20245 + 0.481388i 0.884420 0.466692i \(-0.154554\pi\)
0.318030 + 0.948081i \(0.396979\pi\)
\(270\) 5.21383 1.00488i 0.317303 0.0611552i
\(271\) −0.395789 + 8.30863i −0.0240425 + 0.504713i 0.954442 + 0.298395i \(0.0964512\pi\)
−0.978485 + 0.206318i \(0.933852\pi\)
\(272\) −16.3302 + 18.8460i −0.990161 + 1.14271i
\(273\) 9.54935 + 13.3107i 0.577953 + 0.805602i
\(274\) 6.06894 + 13.2891i 0.366638 + 0.802826i
\(275\) 5.17189 + 8.95797i 0.311877 + 0.540186i
\(276\) −4.92008 5.69800i −0.296154 0.342979i
\(277\) 6.64923 11.5168i 0.399514 0.691978i −0.594152 0.804353i \(-0.702512\pi\)
0.993666 + 0.112375i \(0.0358457\pi\)
\(278\) 0.437409 0.614254i 0.0262340 0.0368405i
\(279\) 2.25863 0.663193i 0.135221 0.0397043i
\(280\) 4.73800 3.75308i 0.283150 0.224290i
\(281\) 0.526820 + 0.338567i 0.0314275 + 0.0201972i 0.556260 0.831008i \(-0.312236\pi\)
−0.524833 + 0.851205i \(0.675872\pi\)
\(282\) −2.41429 + 6.97564i −0.143769 + 0.415394i
\(283\) 12.5381 + 5.01951i 0.745315 + 0.298379i 0.713062 0.701101i \(-0.247308\pi\)
0.0322528 + 0.999480i \(0.489732\pi\)
\(284\) 6.18304 5.89552i 0.366896 0.349835i
\(285\) 11.2412 + 5.79523i 0.665870 + 0.343280i
\(286\) −5.94248 + 41.3308i −0.351386 + 2.44394i
\(287\) −6.05283 13.1313i −0.357287 0.775114i
\(288\) 2.99421 6.55640i 0.176435 0.386340i
\(289\) 10.6277 4.25468i 0.625157 0.250275i
\(290\) 0.863615 + 18.1295i 0.0507132 + 1.06460i
\(291\) 9.06537 8.64381i 0.531421 0.506709i
\(292\) −8.15148 + 6.41039i −0.477029 + 0.375140i
\(293\) −12.7799 14.7488i −0.746610 0.861634i 0.247625 0.968856i \(-0.420350\pi\)
−0.994235 + 0.107222i \(0.965805\pi\)
\(294\) −5.40926 + 12.0689i −0.315474 + 0.703871i
\(295\) −2.51139 + 2.89830i −0.146219 + 0.168745i
\(296\) 6.78777 + 6.47212i 0.394531 + 0.376185i
\(297\) 3.55315 + 0.339285i 0.206175 + 0.0196873i
\(298\) 11.2863 19.5485i 0.653799 1.13241i
\(299\) −26.4172 + 13.5611i −1.52775 + 0.784259i
\(300\) 4.54909 0.262642
\(301\) −29.6640 8.59677i −1.70980 0.495509i
\(302\) 11.8272 3.47279i 0.680581 0.199837i
\(303\) 3.75135 + 0.723014i 0.215510 + 0.0415361i
\(304\) 18.7013 9.64120i 1.07259 0.552960i
\(305\) −5.56203 + 1.07199i −0.318481 + 0.0613822i
\(306\) −7.92126 + 6.22934i −0.452828 + 0.356108i
\(307\) −15.1453 4.44707i −0.864390 0.253808i −0.180662 0.983545i \(-0.557824\pi\)
−0.683727 + 0.729737i \(0.739642\pi\)
\(308\) −13.7426 + 5.55793i −0.783055 + 0.316692i
\(309\) 1.22689 8.53322i 0.0697954 0.485438i
\(310\) 12.4425 1.18812i 0.706688 0.0674805i
\(311\) 9.77823 + 13.7316i 0.554473 + 0.778648i 0.992751 0.120192i \(-0.0383509\pi\)
−0.438278 + 0.898839i \(0.644411\pi\)
\(312\) −3.95648 3.11141i −0.223992 0.176149i
\(313\) −21.0065 10.8296i −1.18736 0.612126i −0.252656 0.967556i \(-0.581304\pi\)
−0.934703 + 0.355431i \(0.884334\pi\)
\(314\) 11.0042 + 3.23111i 0.621001 + 0.182342i
\(315\) 6.59685 3.43037i 0.371690 0.193280i
\(316\) −1.79347 2.06978i −0.100891 0.116434i
\(317\) −0.190323 + 3.99536i −0.0106896 + 0.224402i 0.987201 + 0.159482i \(0.0509823\pi\)
−0.997890 + 0.0649202i \(0.979321\pi\)
\(318\) 7.47895 + 21.6090i 0.419399 + 1.21177i
\(319\) −2.87643 + 11.8568i −0.161049 + 0.663854i
\(320\) 6.95649 9.76902i 0.388880 0.546105i
\(321\) 8.82327 0.492467
\(322\) −20.1910 12.9250i −1.12520 0.720280i
\(323\) −24.0025 −1.33553
\(324\) 0.910542 1.27868i 0.0505857 0.0710376i
\(325\) 4.23036 17.4378i 0.234658 0.967274i
\(326\) −6.23327 18.0098i −0.345229 0.997473i
\(327\) 0.716002 15.0307i 0.0395950 0.831202i
\(328\) 2.90928 + 3.35749i 0.160638 + 0.185386i
\(329\) −0.455475 + 10.3267i −0.0251111 + 0.569328i
\(330\) 18.1846 + 5.33947i 1.00103 + 0.293928i
\(331\) −18.0173 9.28855i −0.990318 0.510545i −0.114623 0.993409i \(-0.536566\pi\)
−0.875695 + 0.482864i \(0.839596\pi\)
\(332\) −17.4582 13.7293i −0.958142 0.753491i
\(333\) 6.69230 + 9.39802i 0.366736 + 0.515008i
\(334\) −8.17484 + 0.780602i −0.447307 + 0.0427126i
\(335\) 1.21992 8.48476i 0.0666516 0.463572i
\(336\) 1.71729 12.2501i 0.0936859 0.668300i
\(337\) 26.2787 + 7.71611i 1.43149 + 0.420323i 0.903376 0.428850i \(-0.141081\pi\)
0.528114 + 0.849174i \(0.322899\pi\)
\(338\) 37.6306 29.5931i 2.04684 1.60965i
\(339\) 16.8517 3.24789i 0.915256 0.176401i
\(340\) −20.9138 + 10.7818i −1.13421 + 0.584725i
\(341\) 8.25025 + 1.59011i 0.446776 + 0.0861091i
\(342\) 8.15818 2.39546i 0.441144 0.129532i
\(343\) −2.44188 + 18.3586i −0.131849 + 0.991270i
\(344\) 9.48933 0.511630
\(345\) 4.38610 + 12.7442i 0.236140 + 0.686127i
\(346\) 0.976170 1.69078i 0.0524792 0.0908967i
\(347\) −4.29618 0.410236i −0.230631 0.0220226i −0.0208995 0.999782i \(-0.506653\pi\)
−0.209732 + 0.977759i \(0.567259\pi\)
\(348\) 3.88338 + 3.70280i 0.208171 + 0.198491i
\(349\) −1.53290 + 1.76906i −0.0820543 + 0.0946958i −0.795292 0.606226i \(-0.792683\pi\)
0.713238 + 0.700922i \(0.247228\pi\)
\(350\) 13.8852 4.13024i 0.742195 0.220770i
\(351\) −4.05474 4.67942i −0.216426 0.249769i
\(352\) 20.2226 15.9032i 1.07787 0.847643i
\(353\) −17.1791 + 16.3803i −0.914354 + 0.871835i −0.992140 0.125136i \(-0.960063\pi\)
0.0777859 + 0.996970i \(0.475215\pi\)
\(354\) 0.122678 + 2.57533i 0.00652028 + 0.136877i
\(355\) −14.1995 + 5.68460i −0.753629 + 0.301707i
\(356\) 5.30047 11.6064i 0.280924 0.615139i
\(357\) −8.14493 + 11.5236i −0.431075 + 0.609895i
\(358\) −1.26671 + 8.81015i −0.0669476 + 0.465631i
\(359\) 8.25306 + 4.25475i 0.435580 + 0.224557i 0.662048 0.749462i \(-0.269688\pi\)
−0.226468 + 0.974019i \(0.572718\pi\)
\(360\) −1.65341 + 1.57652i −0.0871423 + 0.0830900i
\(361\) 1.16223 + 0.465285i 0.0611698 + 0.0244887i
\(362\) −10.7418 + 31.0364i −0.564577 + 1.63124i
\(363\) 1.46376 + 0.940704i 0.0768277 + 0.0493741i
\(364\) 23.9068 + 9.47330i 1.25306 + 0.496536i
\(365\) 17.8137 5.23058i 0.932413 0.273781i
\(366\) −2.20895 + 3.10203i −0.115463 + 0.162146i
\(367\) −2.03504 + 3.52480i −0.106228 + 0.183993i −0.914239 0.405174i \(-0.867211\pi\)
0.808011 + 0.589167i \(0.200544\pi\)
\(368\) 21.5031 + 6.35439i 1.12093 + 0.331246i
\(369\) 2.73252 + 4.73287i 0.142249 + 0.246383i
\(370\) 25.4486 + 55.7246i 1.32301 + 2.89699i
\(371\) 18.6657 + 26.0178i 0.969073 + 1.35078i
\(372\) 2.41981 2.79261i 0.125461 0.144790i
\(373\) 1.58981 33.3742i 0.0823172 1.72805i −0.460037 0.887900i \(-0.652164\pi\)
0.542354 0.840150i \(-0.317533\pi\)
\(374\) −35.3188 + 6.80715i −1.82629 + 0.351989i
\(375\) 5.48423 + 2.19555i 0.283204 + 0.113378i
\(376\) −0.748764 3.08645i −0.0386145 0.159171i
\(377\) 17.8050 11.4426i 0.917006 0.589324i
\(378\) 1.61831 4.72962i 0.0832368 0.243265i
\(379\) −5.08517 + 11.1350i −0.261208 + 0.571965i −0.994111 0.108368i \(-0.965438\pi\)
0.732903 + 0.680333i \(0.238165\pi\)
\(380\) 19.7628 1.88712i 1.01381 0.0968073i
\(381\) −12.0062 9.44178i −0.615096 0.483717i
\(382\) −0.532091 11.1700i −0.0272241 0.571505i
\(383\) −0.843901 3.47861i −0.0431213 0.177748i 0.946179 0.323645i \(-0.104908\pi\)
−0.989300 + 0.145897i \(0.953393\pi\)
\(384\) 0.904099 + 6.28814i 0.0461371 + 0.320891i
\(385\) 26.5392 0.0934669i 1.35257 0.00476351i
\(386\) −37.6771 24.2136i −1.91771 1.23244i
\(387\) 11.4623 + 2.20918i 0.582662 + 0.112299i
\(388\) 4.63558 19.1081i 0.235336 0.970068i
\(389\) −16.7473 1.59917i −0.849122 0.0810813i −0.338584 0.940936i \(-0.609948\pi\)
−0.510538 + 0.859855i \(0.670554\pi\)
\(390\) −16.4385 28.4722i −0.832393 1.44175i
\(391\) −18.4819 17.6837i −0.934672 0.894306i
\(392\) −0.849478 5.62662i −0.0429051 0.284187i
\(393\) −4.26719 9.34383i −0.215251 0.471334i
\(394\) 18.2876 + 17.4372i 0.921314 + 0.878471i
\(395\) 1.60366 + 4.63347i 0.0806888 + 0.233135i
\(396\) 4.98007 2.56740i 0.250258 0.129017i
\(397\) −8.78873 + 25.3934i −0.441094 + 1.27446i 0.477283 + 0.878750i \(0.341622\pi\)
−0.918377 + 0.395707i \(0.870499\pi\)
\(398\) 2.75175 + 19.1389i 0.137933 + 0.959345i
\(399\) 9.99360 6.47234i 0.500306 0.324022i
\(400\) −11.3983 + 7.32523i −0.569914 + 0.366262i
\(401\) 29.1145 11.6557i 1.45391 0.582058i 0.495795 0.868439i \(-0.334877\pi\)
0.958116 + 0.286381i \(0.0924524\pi\)
\(402\) −3.34283 4.69434i −0.166725 0.234133i
\(403\) −8.45450 11.8727i −0.421149 0.591420i
\(404\) 5.56747 2.22888i 0.276992 0.110891i
\(405\) −2.36420 + 1.51938i −0.117478 + 0.0754987i
\(406\) 15.2151 + 7.77625i 0.755115 + 0.385929i
\(407\) 5.86056 + 40.7611i 0.290497 + 2.02045i
\(408\) 1.41809 4.09731i 0.0702061 0.202847i
\(409\) −0.712306 + 0.367219i −0.0352213 + 0.0181578i −0.475747 0.879582i \(-0.657822\pi\)
0.440526 + 0.897740i \(0.354792\pi\)
\(410\) 9.49092 + 27.4222i 0.468723 + 1.35429i
\(411\) −5.59617 5.33594i −0.276039 0.263203i
\(412\) −5.62170 12.3098i −0.276961 0.606460i
\(413\) 1.19286 + 3.40766i 0.0586966 + 0.167680i
\(414\) 8.04665 + 4.16600i 0.395471 + 0.204748i
\(415\) 19.8813 + 34.4355i 0.975936 + 1.69037i
\(416\) −44.4266 4.24223i −2.17819 0.207992i
\(417\) −0.0940949 + 0.387864i −0.00460785 + 0.0189938i
\(418\) 29.8000 + 5.74347i 1.45756 + 0.280923i
\(419\) −17.5723 11.2930i −0.858462 0.551700i 0.0357411 0.999361i \(-0.488621\pi\)
−0.894203 + 0.447661i \(0.852257\pi\)
\(420\) 5.80025 10.1285i 0.283023 0.494222i
\(421\) −2.40962 16.7593i −0.117438 0.816798i −0.960360 0.278763i \(-0.910076\pi\)
0.842922 0.538036i \(-0.180833\pi\)
\(422\) −5.60906 23.1209i −0.273045 1.12551i
\(423\) −0.185898 3.90248i −0.00903868 0.189745i
\(424\) −7.73355 6.08173i −0.375574 0.295355i
\(425\) 15.3868 1.46926i 0.746368 0.0712695i
\(426\) −4.27164 + 9.35358i −0.206962 + 0.453183i
\(427\) −1.72639 + 5.04549i −0.0835457 + 0.244168i
\(428\) 11.6516 7.48803i 0.563202 0.361948i
\(429\) −5.21035 21.4774i −0.251558 1.03694i
\(430\) 57.5426 + 23.0366i 2.77495 + 1.11092i
\(431\) −39.9982 + 7.70903i −1.92665 + 0.371331i −0.999990 0.00457440i \(-0.998544\pi\)
−0.926658 + 0.375905i \(0.877332\pi\)
\(432\) −0.222464 + 4.67009i −0.0107033 + 0.224690i
\(433\) 16.2737 18.7809i 0.782065 0.902552i −0.215191 0.976572i \(-0.569038\pi\)
0.997257 + 0.0740204i \(0.0235830\pi\)
\(434\) 4.85052 10.7209i 0.232832 0.514620i
\(435\) −3.99063 8.73827i −0.191336 0.418968i
\(436\) −11.8106 20.4566i −0.565625 0.979692i
\(437\) 8.93155 + 19.6474i 0.427254 + 0.939864i
\(438\) 6.24085 10.8095i 0.298199 0.516496i
\(439\) −6.36864 + 8.94350i −0.303958 + 0.426850i −0.938099 0.346368i \(-0.887415\pi\)
0.634140 + 0.773218i \(0.281354\pi\)
\(440\) −7.82397 + 2.29733i −0.372993 + 0.109521i
\(441\) 0.283816 6.99424i 0.0135150 0.333059i
\(442\) 52.4908 + 33.7338i 2.49673 + 1.60455i
\(443\) 9.24262 26.7048i 0.439130 1.26878i −0.480844 0.876806i \(-0.659670\pi\)
0.919975 0.391978i \(-0.128209\pi\)
\(444\) 16.8134 + 6.73105i 0.797927 + 0.319442i
\(445\) −16.5325 + 15.7638i −0.783718 + 0.747274i
\(446\) −34.8804 17.9821i −1.65163 0.851476i
\(447\) −1.70025 + 11.8255i −0.0804192 + 0.559328i
\(448\) −4.72636 10.2536i −0.223299 0.484435i
\(449\) −4.34352 + 9.51098i −0.204983 + 0.448851i −0.984004 0.178148i \(-0.942990\pi\)
0.779020 + 0.626999i \(0.215717\pi\)
\(450\) −5.08316 + 2.03499i −0.239622 + 0.0959303i
\(451\) 0.928154 + 19.4843i 0.0437050 + 0.917482i
\(452\) 19.4971 18.5905i 0.917069 0.874423i
\(453\) −5.12831 + 4.03295i −0.240949 + 0.189485i
\(454\) 1.20056 + 1.38553i 0.0563453 + 0.0650259i
\(455\) −33.4313 31.6527i −1.56728 1.48390i
\(456\) −2.39566 + 2.76474i −0.112187 + 0.129471i
\(457\) 1.49681 + 1.42721i 0.0700179 + 0.0667619i 0.724280 0.689506i \(-0.242172\pi\)
−0.654262 + 0.756268i \(0.727021\pi\)
\(458\) −10.8279 1.03394i −0.505954 0.0483128i
\(459\) 2.66682 4.61907i 0.124476 0.215600i
\(460\) 16.6077 + 13.1071i 0.774339 + 0.611122i
\(461\) −15.4111 −0.717767 −0.358883 0.933382i \(-0.616842\pi\)
−0.358883 + 0.933382i \(0.616842\pi\)
\(462\) 12.8697 12.3580i 0.598751 0.574948i
\(463\) −4.96849 + 1.45888i −0.230905 + 0.0677999i −0.395138 0.918622i \(-0.629303\pi\)
0.164233 + 0.986422i \(0.447485\pi\)
\(464\) −15.6928 3.02453i −0.728518 0.140410i
\(465\) −5.88007 + 3.03138i −0.272682 + 0.140577i
\(466\) −1.47038 + 0.283393i −0.0681142 + 0.0131279i
\(467\) −9.01242 + 7.08744i −0.417045 + 0.327968i −0.804534 0.593906i \(-0.797585\pi\)
0.387489 + 0.921874i \(0.373342\pi\)
\(468\) −9.32579 2.73830i −0.431085 0.126578i
\(469\) −6.36098 4.96617i −0.293723 0.229317i
\(470\) 2.95230 20.5337i 0.136179 0.947148i
\(471\) −6.04262 + 0.577001i −0.278429 + 0.0265868i
\(472\) −0.643459 0.903612i −0.0296176 0.0415921i
\(473\) 32.7513 + 25.7559i 1.50591 + 1.18426i
\(474\) 2.92992 + 1.51048i 0.134576 + 0.0693786i
\(475\) −12.5132 3.67422i −0.574146 0.168585i
\(476\) −0.976077 + 22.1299i −0.0447384 + 1.01432i
\(477\) −7.92561 9.14664i −0.362889 0.418796i
\(478\) −1.17784 + 24.7259i −0.0538731 + 1.13094i
\(479\) −6.20785 17.9364i −0.283644 0.819536i −0.993360 0.115048i \(-0.963298\pi\)
0.709716 0.704488i \(-0.248823\pi\)
\(480\) −4.77558 + 19.6852i −0.217974 + 0.898502i
\(481\) 41.4371 58.1903i 1.88937 2.65325i
\(482\) 21.9348 0.999103
\(483\) 12.4636 + 2.37904i 0.567111 + 0.108250i
\(484\) 2.73133 0.124151
\(485\) −20.4190 + 28.6745i −0.927180 + 1.30204i
\(486\) −0.445438 + 1.83612i −0.0202055 + 0.0832880i
\(487\) 2.72855 + 7.88363i 0.123642 + 0.357241i 0.989787 0.142551i \(-0.0455306\pi\)
−0.866145 + 0.499793i \(0.833409\pi\)
\(488\) 0.0779616 1.63662i 0.00352916 0.0740861i
\(489\) 6.60553 + 7.62319i 0.298713 + 0.344733i
\(490\) 8.50816 36.1816i 0.384360 1.63452i
\(491\) −27.1842 7.98201i −1.22681 0.360223i −0.396763 0.917921i \(-0.629866\pi\)
−0.830044 + 0.557698i \(0.811685\pi\)
\(492\) 7.62508 + 3.93100i 0.343765 + 0.177223i
\(493\) 14.3310 + 11.2700i 0.645437 + 0.507577i
\(494\) −30.5377 42.8842i −1.37396 1.92945i
\(495\) −9.98553 + 0.953503i −0.448816 + 0.0428568i
\(496\) −1.56629 + 10.8938i −0.0703283 + 0.489144i
\(497\) −1.99903 + 14.2599i −0.0896688 + 0.639644i
\(498\) 25.6494 + 7.53136i 1.14938 + 0.337488i
\(499\) 2.66644 2.09691i 0.119366 0.0938708i −0.556691 0.830719i \(-0.687929\pi\)
0.676058 + 0.736849i \(0.263687\pi\)
\(500\) 9.10553 1.75495i 0.407211 0.0784836i
\(501\) 3.86325 1.99164i 0.172597 0.0889801i
\(502\) 22.0043 + 4.24098i 0.982101 + 0.189284i
\(503\) 8.14608 2.39191i 0.363216 0.106650i −0.0950321 0.995474i \(-0.530295\pi\)
0.458248 + 0.888824i \(0.348477\pi\)
\(504\) 0.514419 + 2.08834i 0.0229140 + 0.0930219i
\(505\) −10.7366 −0.477771
\(506\) 18.7145 + 26.3775i 0.831962 + 1.17262i
\(507\) −12.6690 + 21.9433i −0.562648 + 0.974536i
\(508\) −23.8678 2.27910i −1.05896 0.101119i
\(509\) 4.33846 + 4.13672i 0.192299 + 0.183357i 0.780112 0.625640i \(-0.215162\pi\)
−0.587813 + 0.808997i \(0.700011\pi\)
\(510\) 18.5459 21.4032i 0.821228 0.947748i
\(511\) 4.06086 17.0002i 0.179642 0.752045i
\(512\) 17.0903 + 19.7233i 0.755294 + 0.871656i
\(513\) −3.53741 + 2.78185i −0.156180 + 0.122822i
\(514\) 2.40325 2.29149i 0.106003 0.101073i
\(515\) 1.15280 + 24.2003i 0.0507986 + 1.06639i
\(516\) 17.0115 6.81037i 0.748889 0.299810i
\(517\) 5.79295 12.6848i 0.254774 0.557877i
\(518\) 57.4308 + 5.27994i 2.52336 + 0.231987i
\(519\) −0.147057 + 1.02281i −0.00645511 + 0.0448962i
\(520\) 12.5729 + 6.48180i 0.551360 + 0.284246i
\(521\) 29.0680 27.7163i 1.27349 1.21427i 0.308730 0.951150i \(-0.400096\pi\)
0.964762 0.263123i \(-0.0847523\pi\)
\(522\) −5.99571 2.40032i −0.262425 0.105059i
\(523\) 4.31157 12.4575i 0.188532 0.544727i −0.810635 0.585552i \(-0.800878\pi\)
0.999166 + 0.0408257i \(0.0129988\pi\)
\(524\) −13.5649 8.71761i −0.592584 0.380831i
\(525\) −6.01019 + 4.76082i −0.262306 + 0.207779i
\(526\) −37.6464 + 11.0540i −1.64146 + 0.481977i
\(527\) 7.28278 10.2272i 0.317243 0.445505i
\(528\) −8.34396 + 14.4522i −0.363124 + 0.628950i
\(529\) −7.59786 + 21.7088i −0.330342 + 0.943861i
\(530\) −32.1315 55.6533i −1.39570 2.41743i
\(531\) −0.566877 1.24129i −0.0246004 0.0538673i
\(532\) 7.70422 17.0283i 0.334020 0.738272i
\(533\) 22.1593 25.5732i 0.959828 1.10770i
\(534\) −0.730741 + 15.3401i −0.0316223 + 0.663833i
\(535\) −24.3482 + 4.69274i −1.05267 + 0.202885i
\(536\) 2.30191 + 0.921545i 0.0994273 + 0.0398047i
\(537\) −1.11065 4.57815i −0.0479280 0.197562i
\(538\) −33.7651 + 21.6995i −1.45572 + 0.935534i
\(539\) 12.3399 21.7253i 0.531516 0.935773i
\(540\) −1.83261 + 4.01285i −0.0788629 + 0.172686i
\(541\) −33.8236 + 3.22976i −1.45419 + 0.138858i −0.792020 0.610496i \(-0.790970\pi\)
−0.662170 + 0.749354i \(0.730364\pi\)
\(542\) −12.3536 9.71494i −0.530631 0.417293i
\(543\) −0.827109 17.3632i −0.0354947 0.745125i
\(544\) −9.06341 37.3599i −0.388590 1.60179i
\(545\) 6.01839 + 41.8589i 0.257800 + 1.79304i
\(546\) −30.9513 + 0.109006i −1.32459 + 0.00466501i
\(547\) −9.25827 5.94993i −0.395855 0.254401i 0.327537 0.944838i \(-0.393781\pi\)
−0.723392 + 0.690438i \(0.757418\pi\)
\(548\) −11.9185 2.29710i −0.509133 0.0981274i
\(549\) 0.475186 1.95874i 0.0202805 0.0835972i
\(550\) −19.4548 1.85771i −0.829556 0.0792130i
\(551\) −7.69139 13.3219i −0.327664 0.567531i
\(552\) −3.88157 + 0.363857i −0.165211 + 0.0154868i
\(553\) 4.53562 + 0.857614i 0.192874 + 0.0364694i
\(554\) 10.4376 + 22.8552i 0.443453 + 0.971026i
\(555\) −23.4661 22.3749i −0.996082 0.949763i
\(556\) 0.204911 + 0.592052i 0.00869017 + 0.0251086i
\(557\) −14.9763 + 7.72080i −0.634564 + 0.327141i −0.745320 0.666707i \(-0.767703\pi\)
0.110756 + 0.993848i \(0.464673\pi\)
\(558\) −1.45465 + 4.20295i −0.0615804 + 0.177925i
\(559\) −10.2862 71.5424i −0.435062 3.02592i
\(560\) 1.77640 + 34.7182i 0.0750666 + 1.46711i
\(561\) 16.0153 10.2924i 0.676166 0.434546i
\(562\) −1.09843 + 0.439747i −0.0463347 + 0.0185496i
\(563\) 3.40051 + 4.77534i 0.143314 + 0.201257i 0.879994 0.474985i \(-0.157547\pi\)
−0.736679 + 0.676242i \(0.763607\pi\)
\(564\) −3.55741 4.99568i −0.149794 0.210356i
\(565\) −44.7755 + 17.9254i −1.88372 + 0.754128i
\(566\) −21.4664 + 13.7956i −0.902299 + 0.579872i
\(567\) 0.135196 + 2.64229i 0.00567772 + 0.110966i
\(568\) −0.629632 4.37919i −0.0264188 0.183747i
\(569\) 0.704674 2.03602i 0.0295415 0.0853544i −0.929266 0.369411i \(-0.879559\pi\)
0.958807 + 0.284057i \(0.0916805\pi\)
\(570\) −21.2388 + 10.9494i −0.889597 + 0.458619i
\(571\) 11.2606 + 32.5354i 0.471242 + 1.36156i 0.891031 + 0.453943i \(0.149983\pi\)
−0.419789 + 0.907622i \(0.637896\pi\)
\(572\) −25.1077 23.9402i −1.04981 1.00099i
\(573\) 2.45871 + 5.38382i 0.102714 + 0.224912i
\(574\) 26.8431 + 5.07561i 1.12041 + 0.211852i
\(575\) −6.92823 12.0482i −0.288927 0.502446i
\(576\) 2.13369 + 3.69566i 0.0889038 + 0.153986i
\(577\) 16.1180 + 1.53908i 0.671000 + 0.0640727i 0.424995 0.905196i \(-0.360276\pi\)
0.246005 + 0.969269i \(0.420882\pi\)
\(578\) −5.09923 + 21.0193i −0.212100 + 0.874288i
\(579\) 23.2762 + 4.48611i 0.967324 + 0.186436i
\(580\) −12.6857 8.15264i −0.526747 0.338520i
\(581\) 37.4338 0.131836i 1.55302 0.00546947i
\(582\) 3.36803 + 23.4251i 0.139609 + 0.971003i
\(583\) −10.1844 41.9808i −0.421796 1.73867i
\(584\) 0.255529 + 5.36421i 0.0105739 + 0.221973i
\(585\) 13.6780 + 10.7565i 0.565518 + 0.444728i
\(586\) 36.7051 3.50491i 1.51627 0.144787i
\(587\) 6.73975 14.7580i 0.278179 0.609128i −0.718040 0.696002i \(-0.754961\pi\)
0.996219 + 0.0868741i \(0.0276878\pi\)
\(588\) −5.56100 9.47715i −0.229332 0.390831i
\(589\) −8.91175 + 5.72723i −0.367202 + 0.235986i
\(590\) −1.70825 7.04151i −0.0703276 0.289894i
\(591\) −12.4159 4.97058i −0.510722 0.204462i
\(592\) −52.9667 + 10.2085i −2.17692 + 0.419566i
\(593\) −0.232065 + 4.87164i −0.00952977 + 0.200054i 0.989081 + 0.147370i \(0.0470808\pi\)
−0.998611 + 0.0526845i \(0.983222\pi\)
\(594\) −4.41623 + 5.09660i −0.181200 + 0.209116i
\(595\) 16.3474 36.1320i 0.670177 1.48127i
\(596\) 7.79068 + 17.0592i 0.319119 + 0.698772i
\(597\) −5.11694 8.86281i −0.209423 0.362731i
\(598\) 8.08073 55.5194i 0.330445 2.27036i
\(599\) 0.934914 1.61932i 0.0381995 0.0661635i −0.846294 0.532717i \(-0.821171\pi\)
0.884493 + 0.466553i \(0.154504\pi\)
\(600\) 1.36650 1.91898i 0.0557870 0.0783419i
\(601\) 1.55555 0.456750i 0.0634522 0.0186312i −0.249852 0.968284i \(-0.580382\pi\)
0.313305 + 0.949653i \(0.398564\pi\)
\(602\) 45.7409 36.2325i 1.86426 1.47673i
\(603\) 2.56597 + 1.64905i 0.104494 + 0.0671545i
\(604\) −3.34958 + 9.67797i −0.136292 + 0.393791i
\(605\) −4.53965 1.81740i −0.184563 0.0738878i
\(606\) −5.22403 + 4.98110i −0.212212 + 0.202343i
\(607\) 43.5184 + 22.4353i 1.76636 + 0.910621i 0.934792 + 0.355195i \(0.115586\pi\)
0.831566 + 0.555426i \(0.187445\pi\)
\(608\) −4.61618 + 32.1062i −0.187211 + 1.30208i
\(609\) −9.00582 0.827956i −0.364934 0.0335505i
\(610\) 4.44585 9.73505i 0.180007 0.394160i
\(611\) −22.4578 + 8.99076i −0.908547 + 0.363727i
\(612\) −0.398378 8.36298i −0.0161035 0.338053i
\(613\) −1.80808 + 1.72400i −0.0730278 + 0.0696318i −0.725714 0.687996i \(-0.758490\pi\)
0.652686 + 0.757628i \(0.273642\pi\)
\(614\) 23.4427 18.4355i 0.946070 0.743998i
\(615\) −10.0577 11.6073i −0.405567 0.468050i
\(616\) −1.78357 + 7.46667i −0.0718622 + 0.300841i
\(617\) −0.303501 + 0.350259i −0.0122185 + 0.0141009i −0.761826 0.647782i \(-0.775697\pi\)
0.749607 + 0.661883i \(0.230242\pi\)
\(618\) 11.7884 + 11.2402i 0.474198 + 0.452146i
\(619\) 16.7059 + 1.59522i 0.671467 + 0.0641174i 0.425220 0.905090i \(-0.360197\pi\)
0.246247 + 0.969207i \(0.420803\pi\)
\(620\) −5.19231 + 8.99334i −0.208528 + 0.361181i
\(621\) −4.77332 0.464147i −0.191547 0.0186256i
\(622\) −31.8499 −1.27707
\(623\) 5.14371 + 20.8814i 0.206079 + 0.836596i
\(624\) 27.7763 8.15585i 1.11194 0.326495i
\(625\) −30.5297 5.88413i −1.22119 0.235365i
\(626\) 39.6892 20.4612i 1.58630 0.817795i
\(627\) −15.7724 + 3.03988i −0.629888 + 0.121401i
\(628\) −7.48993 + 5.89015i −0.298881 + 0.235043i
\(629\) 59.0432 + 17.3367i 2.35421 + 0.691258i
\(630\) −1.95031 + 13.9123i −0.0777020 + 0.554280i
\(631\) 1.42875 9.93718i 0.0568777 0.395593i −0.941418 0.337241i \(-0.890506\pi\)
0.998296 0.0583521i \(-0.0185846\pi\)
\(632\) −1.41185 + 0.134815i −0.0561603 + 0.00536266i
\(633\) 7.30422 + 10.2573i 0.290317 + 0.407693i
\(634\) −5.94045 4.67162i −0.235925 0.185534i
\(635\) 38.1534 + 19.6694i 1.51407 + 0.780558i
\(636\) −18.2287 5.35242i −0.722814 0.212237i
\(637\) −41.4996 + 12.5036i −1.64428 + 0.495409i
\(638\) −15.0957 17.4214i −0.597645 0.689719i
\(639\) 0.258962 5.43627i 0.0102444 0.215056i
\(640\) −5.83931 16.8716i −0.230819 0.666908i
\(641\) 7.43448 30.6453i 0.293644 1.21042i −0.613533 0.789669i \(-0.710252\pi\)
0.907177 0.420749i \(-0.138233\pi\)
\(642\) −9.66983 + 13.5794i −0.381638 + 0.535935i
\(643\) 17.2520 0.680352 0.340176 0.940362i \(-0.389513\pi\)
0.340176 + 0.940362i \(0.389513\pi\)
\(644\) 18.4778 7.43578i 0.728128 0.293011i
\(645\) −32.8058 −1.29173
\(646\) 26.3054 36.9408i 1.03497 1.45342i
\(647\) −0.287040 + 1.18319i −0.0112847 + 0.0465161i −0.977176 0.212433i \(-0.931861\pi\)
0.965891 + 0.258949i \(0.0833763\pi\)
\(648\) −0.265877 0.768202i −0.0104446 0.0301778i
\(649\) 0.231757 4.86518i 0.00909727 0.190975i
\(650\) 22.2012 + 25.6216i 0.870803 + 1.00496i
\(651\) −0.274431 + 6.22200i −0.0107558 + 0.243859i
\(652\) 15.1925 + 4.46093i 0.594986 + 0.174704i
\(653\) 1.35995 + 0.701103i 0.0532189 + 0.0274363i 0.484631 0.874719i \(-0.338954\pi\)
−0.431412 + 0.902155i \(0.641984\pi\)
\(654\) 22.3482 + 17.5748i 0.873885 + 0.687231i
\(655\) 16.7451 + 23.5152i 0.654285 + 0.918815i
\(656\) −25.4355 + 2.42880i −0.993090 + 0.0948286i
\(657\) −0.940167 + 6.53901i −0.0366794 + 0.255111i
\(658\) −15.3940 12.0185i −0.600121 0.468529i
\(659\) −0.468105 0.137448i −0.0182348 0.00535421i 0.272602 0.962127i \(-0.412116\pi\)
−0.290837 + 0.956773i \(0.593934\pi\)
\(660\) −12.3772 + 9.73357i −0.481783 + 0.378879i
\(661\) 25.7002 4.95330i 0.999621 0.192661i 0.336910 0.941537i \(-0.390618\pi\)
0.662711 + 0.748876i \(0.269406\pi\)
\(662\) 34.0414 17.5496i 1.32306 0.682083i
\(663\) −32.4278 6.24995i −1.25939 0.242728i
\(664\) −11.0358 + 3.24039i −0.428271 + 0.125752i
\(665\) −24.1354 + 23.1759i −0.935932 + 0.898724i
\(666\) −21.7983 −0.844669
\(667\) 3.89247 15.9245i 0.150717 0.616597i
\(668\) 3.41139 5.90869i 0.131990 0.228614i
\(669\) 20.6762 + 1.97433i 0.799387 + 0.0763322i
\(670\) 11.7214 + 11.1764i 0.452838 + 0.431780i
\(671\) 4.71117 5.43698i 0.181873 0.209892i
\(672\) 13.8478 + 13.1111i 0.534191 + 0.505770i
\(673\) −27.3573 31.5721i −1.05455 1.21701i −0.975467 0.220145i \(-0.929347\pi\)
−0.0790808 0.996868i \(-0.525199\pi\)
\(674\) −40.6754 + 31.9875i −1.56676 + 1.23211i
\(675\) 2.09736 1.99983i 0.0807276 0.0769736i
\(676\) 1.89253 + 39.7291i 0.0727896 + 1.52804i
\(677\) −16.9598 + 6.78969i −0.651819 + 0.260949i −0.673917 0.738807i \(-0.735390\pi\)
0.0220983 + 0.999756i \(0.492965\pi\)
\(678\) −13.4699 + 29.4949i −0.517307 + 1.13274i
\(679\) 13.8730 + 30.0967i 0.532398 + 1.15501i
\(680\) −1.73410 + 12.0609i −0.0664998 + 0.462516i
\(681\) −0.862460 0.444629i −0.0330496 0.0170382i
\(682\) −11.4891 + 10.9548i −0.439939 + 0.419481i
\(683\) −16.3650 6.55154i −0.626188 0.250688i 0.0367945 0.999323i \(-0.488285\pi\)
−0.662982 + 0.748635i \(0.730710\pi\)
\(684\) −2.31047 + 6.67567i −0.0883430 + 0.255250i
\(685\) 18.2809 + 11.7484i 0.698476 + 0.448884i
\(686\) −25.5784 23.8782i −0.976589 0.911673i
\(687\) 5.52380 1.62193i 0.210746 0.0618807i
\(688\) −31.6578 + 44.4572i −1.20694 + 1.69491i
\(689\) −37.4687 + 64.8976i −1.42744 + 2.47240i
\(690\) −24.4208 7.21660i −0.929685 0.274731i
\(691\) 16.4684 + 28.5242i 0.626489 + 1.08511i 0.988251 + 0.152841i \(0.0488421\pi\)
−0.361762 + 0.932271i \(0.617825\pi\)
\(692\) 0.673827 + 1.47548i 0.0256151 + 0.0560892i
\(693\) −3.89270 + 8.60388i −0.147871 + 0.326834i
\(694\) 5.33976 6.16241i 0.202694 0.233922i
\(695\) 0.0533701 1.12038i 0.00202444 0.0424983i
\(696\) 2.72851 0.525876i 0.103424 0.0199333i
\(697\) 27.0606 + 10.8334i 1.02499 + 0.410345i
\(698\) −1.04268 4.29800i −0.0394661 0.162682i
\(699\) 0.666744 0.428490i 0.0252186 0.0162070i
\(700\) −3.89643 + 11.3876i −0.147271 + 0.430410i
\(701\) 2.43188 5.32508i 0.0918509 0.201126i −0.858131 0.513431i \(-0.828374\pi\)
0.949982 + 0.312306i \(0.101101\pi\)
\(702\) 11.6456 1.11202i 0.439535 0.0419705i
\(703\) −40.8122 32.0950i −1.53926 1.21049i
\(704\) 0.724749 + 15.2144i 0.0273150 + 0.573413i
\(705\) 2.58857 + 10.6702i 0.0974911 + 0.401864i
\(706\) −6.38251 44.3913i −0.240209 1.67069i
\(707\) −5.02304 + 8.77136i −0.188911 + 0.329881i
\(708\) −1.80204 1.15810i −0.0677246 0.0435240i
\(709\) 22.2327 + 4.28499i 0.834965 + 0.160926i 0.588777 0.808296i \(-0.299610\pi\)
0.246188 + 0.969222i \(0.420822\pi\)
\(710\) 6.81300 28.0836i 0.255687 1.05396i
\(711\) −1.73678 0.165842i −0.0651343 0.00621958i
\(712\) −3.30382 5.72238i −0.123816 0.214455i
\(713\) −11.0816 2.15572i −0.415008 0.0807325i
\(714\) −8.80894 25.1647i −0.329666 0.941764i
\(715\) 25.8011 + 56.4966i 0.964908 + 2.11285i
\(716\) −5.35200 5.10312i −0.200014 0.190713i
\(717\) −4.28512 12.3810i −0.160031 0.462379i
\(718\) −15.5931 + 8.03883i −0.581931 + 0.300006i
\(719\) −9.44651 + 27.2939i −0.352295 + 1.01789i 0.620094 + 0.784527i \(0.287094\pi\)
−0.972390 + 0.233363i \(0.925027\pi\)
\(720\) −1.86993 13.0057i −0.0696883 0.484692i
\(721\) 20.3101 + 10.3802i 0.756386 + 0.386579i
\(722\) −1.98983 + 1.27879i −0.0740538 + 0.0475915i
\(723\) −10.7779 + 4.31483i −0.400835 + 0.160470i
\(724\) −15.8278 22.2271i −0.588236 0.826062i
\(725\) 5.74602 + 8.06916i 0.213402 + 0.299681i
\(726\) −3.05199 + 1.22183i −0.113270 + 0.0453464i
\(727\) 12.4087 7.97460i 0.460214 0.295761i −0.289916 0.957052i \(-0.593627\pi\)
0.750130 + 0.661291i \(0.229991\pi\)
\(728\) 11.1776 7.23913i 0.414268 0.268300i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) −11.4728 + 33.1485i −0.424627 + 1.22688i
\(731\) 55.3398 28.5296i 2.04681 1.05521i
\(732\) −1.03482 2.98990i −0.0382479 0.110510i
\(733\) −25.6765 24.4825i −0.948382 0.904280i 0.0471328 0.998889i \(-0.484992\pi\)
−0.995515 + 0.0946084i \(0.969840\pi\)
\(734\) −3.19451 6.99500i −0.117912 0.258190i
\(735\) 2.93675 + 19.4519i 0.108324 + 0.717494i
\(736\) −27.2086 + 21.3209i −1.00292 + 0.785898i
\(737\) 5.44351 + 9.42844i 0.200514 + 0.347301i
\(738\) −10.2788 0.981504i −0.378367 0.0361297i
\(739\) −0.0116869 + 0.0481741i −0.000429910 + 0.00177211i −0.972026 0.234873i \(-0.924533\pi\)
0.971596 + 0.236645i \(0.0760478\pi\)
\(740\) −49.9772 9.63232i −1.83720 0.354091i
\(741\) 23.4409 + 15.0645i 0.861123 + 0.553410i
\(742\) −60.4991 + 0.213068i −2.22099 + 0.00782197i
\(743\) 2.37864 + 16.5438i 0.0872639 + 0.606934i 0.985786 + 0.168006i \(0.0537327\pi\)
−0.898522 + 0.438928i \(0.855358\pi\)
\(744\) −0.451143 1.85964i −0.0165397 0.0681776i
\(745\) −1.59758 33.5374i −0.0585309 1.22872i
\(746\) 49.6219 + 39.0231i 1.81679 + 1.42874i
\(747\) −14.0847 + 1.34492i −0.515331 + 0.0492081i
\(748\) 12.4142 27.1834i 0.453909 0.993922i
\(749\) −7.55739 + 22.0870i −0.276141 + 0.807042i
\(750\) −9.38947 + 6.03425i −0.342855 + 0.220340i
\(751\) 7.48179 + 30.8404i 0.273014 + 1.12538i 0.928844 + 0.370472i \(0.120804\pi\)
−0.655829 + 0.754909i \(0.727681\pi\)
\(752\) 16.9579 + 6.78891i 0.618390 + 0.247566i
\(753\) −11.6463 + 2.24465i −0.424416 + 0.0817995i
\(754\) −1.90273 + 39.9432i −0.0692933 + 1.45464i
\(755\) 12.0069 13.8567i 0.436974 0.504295i
\(756\) 2.42097 + 3.37456i 0.0880498 + 0.122731i
\(757\) −4.34533 9.51494i −0.157934 0.345826i 0.814079 0.580754i \(-0.197242\pi\)
−0.972013 + 0.234927i \(0.924515\pi\)
\(758\) −11.5641 20.0296i −0.420028 0.727509i
\(759\) −14.3844 9.27953i −0.522119 0.336826i
\(760\) 5.14048 8.90358i 0.186465 0.322967i
\(761\) 28.4383 39.9360i 1.03089 1.44768i 0.141827 0.989891i \(-0.454702\pi\)
0.889061 0.457789i \(-0.151358\pi\)
\(762\) 27.6894 8.13035i 1.00308 0.294532i
\(763\) 37.0127 + 14.6666i 1.33995 + 0.530967i
\(764\) 7.81594 + 5.02300i 0.282771 + 0.181726i
\(765\) −4.90252 + 14.1649i −0.177251 + 0.512133i
\(766\) 6.27859 + 2.51357i 0.226855 + 0.0908189i
\(767\) −6.11505 + 5.83069i −0.220802 + 0.210534i
\(768\) −18.2546 9.41088i −0.658705 0.339586i
\(769\) 1.76708 12.2903i 0.0637227 0.443201i −0.932835 0.360303i \(-0.882673\pi\)
0.996558 0.0828979i \(-0.0264175\pi\)
\(770\) −28.9417 + 40.9474i −1.04299 + 1.47564i
\(771\) −0.730101 + 1.59870i −0.0262940 + 0.0575757i
\(772\) 34.5447 13.8296i 1.24329 0.497738i
\(773\) −0.137186 2.87989i