Properties

Label 91.2.bb.a.47.1
Level $91$
Weight $2$
Character 91.47
Analytic conductor $0.727$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.bb (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 47.1
Character \(\chi\) \(=\) 91.47
Dual form 91.2.bb.a.31.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.60347 + 0.697597i) q^{2} +(-0.657528 + 0.379624i) q^{3} +(4.55935 - 2.63234i) q^{4} +(0.654162 + 2.44137i) q^{5} +(1.44703 - 1.44703i) q^{6} +(-2.54528 - 0.722189i) q^{7} +(-6.22207 + 6.22207i) q^{8} +(-1.21177 + 2.09885i) q^{9} +O(q^{10})\) \(q+(-2.60347 + 0.697597i) q^{2} +(-0.657528 + 0.379624i) q^{3} +(4.55935 - 2.63234i) q^{4} +(0.654162 + 2.44137i) q^{5} +(1.44703 - 1.44703i) q^{6} +(-2.54528 - 0.722189i) q^{7} +(-6.22207 + 6.22207i) q^{8} +(-1.21177 + 2.09885i) q^{9} +(-3.40618 - 5.89968i) q^{10} +(-2.08105 - 0.557615i) q^{11} +(-1.99860 + 3.46168i) q^{12} +(-1.44703 + 3.30244i) q^{13} +(7.13035 + 0.104617i) q^{14} +(-1.35693 - 1.35693i) q^{15} +(6.59378 - 11.4208i) q^{16} +(0.700866 + 1.21393i) q^{17} +(1.69066 - 6.30962i) q^{18} +(0.541814 + 2.02208i) q^{19} +(9.40907 + 9.40907i) q^{20} +(1.94775 - 0.491389i) q^{21} +5.80693 q^{22} +(1.13887 + 0.657528i) q^{23} +(1.72914 - 6.45323i) q^{24} +(-1.20221 + 0.694099i) q^{25} +(1.46352 - 9.60724i) q^{26} -4.11781i q^{27} +(-13.5059 + 3.40733i) q^{28} -4.56814 q^{29} +(4.47931 + 2.58613i) q^{30} +(7.03077 + 1.88389i) q^{31} +(-4.64473 + 17.3344i) q^{32} +(1.58003 - 0.423368i) q^{33} +(-2.67152 - 2.67152i) q^{34} +(0.0981036 - 6.68639i) q^{35} +12.7592i q^{36} +(0.591026 + 2.20574i) q^{37} +(-2.82119 - 4.88645i) q^{38} +(-0.302224 - 2.72077i) q^{39} +(-19.2606 - 11.1201i) q^{40} +(2.69291 - 2.69291i) q^{41} +(-4.72812 + 2.63806i) q^{42} +0.437721i q^{43} +(-10.9561 + 2.93567i) q^{44} +(-5.91676 - 1.58539i) q^{45} +(-3.42370 - 0.917379i) q^{46} +(7.74178 - 2.07440i) q^{47} +10.0126i q^{48} +(5.95689 + 3.67635i) q^{49} +(2.64573 - 2.64573i) q^{50} +(-0.921677 - 0.532130i) q^{51} +(2.09565 + 18.8661i) q^{52} +(1.26798 + 2.19621i) q^{53} +(2.87257 + 10.7206i) q^{54} -5.44537i q^{55} +(20.3304 - 11.3434i) q^{56} +(-1.12389 - 1.12389i) q^{57} +(11.8930 - 3.18672i) q^{58} +(-2.02057 + 7.54086i) q^{59} +(-9.75863 - 2.61482i) q^{60} +(6.57067 + 3.79358i) q^{61} -19.6186 q^{62} +(4.60006 - 4.46703i) q^{63} -21.9945i q^{64} +(-9.00906 - 1.37239i) q^{65} +(-3.81822 + 2.20445i) q^{66} +(0.146927 - 0.548339i) q^{67} +(6.39099 + 3.68984i) q^{68} -0.998452 q^{69} +(4.40899 + 17.4762i) q^{70} +(-10.7460 - 10.7460i) q^{71} +(-5.51947 - 20.5989i) q^{72} +(3.18733 - 11.8953i) q^{73} +(-3.07743 - 5.33027i) q^{74} +(0.526993 - 0.912778i) q^{75} +(7.79312 + 7.79312i) q^{76} +(4.89414 + 2.92219i) q^{77} +(2.68483 + 6.87261i) q^{78} +(-7.19713 + 12.4658i) q^{79} +(32.1956 + 8.62680i) q^{80} +(-2.07210 - 3.58898i) q^{81} +(-5.13234 + 8.88948i) q^{82} +(3.82648 - 3.82648i) q^{83} +(7.58698 - 7.36756i) q^{84} +(-2.50518 + 2.50518i) q^{85} +(-0.305353 - 1.13959i) q^{86} +(3.00368 - 1.73417i) q^{87} +(16.4179 - 9.47890i) q^{88} +(-0.0501018 + 0.0134247i) q^{89} +16.5101 q^{90} +(6.06807 - 7.36060i) q^{91} +6.92335 q^{92} +(-5.33809 + 1.43034i) q^{93} +(-18.7084 + 10.8013i) q^{94} +(-4.58220 + 2.64553i) q^{95} +(-3.52650 - 13.1611i) q^{96} +(-9.43761 + 9.43761i) q^{97} +(-18.0732 - 5.41574i) q^{98} +(3.69210 - 3.69210i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} - 12q^{3} - 6q^{5} - 6q^{7} - 16q^{8} + 8q^{9} + O(q^{10}) \) \( 32q - 2q^{2} - 12q^{3} - 6q^{5} - 6q^{7} - 16q^{8} + 8q^{9} - 10q^{11} + 28q^{14} - 44q^{15} + 12q^{16} - 4q^{18} + 12q^{19} - 26q^{21} - 8q^{22} - 12q^{24} + 24q^{26} - 6q^{28} + 16q^{29} + 24q^{31} + 4q^{32} + 48q^{33} + 28q^{35} - 8q^{37} - 6q^{39} - 132q^{40} - 16q^{42} - 42q^{44} - 24q^{45} + 12q^{46} + 30q^{47} + 88q^{50} + 36q^{52} - 12q^{53} + 78q^{54} + 40q^{57} + 26q^{58} - 54q^{59} + 16q^{60} - 48q^{61} + 24q^{63} - 8q^{65} + 12q^{66} + 16q^{67} - 48q^{68} + 50q^{70} - 36q^{71} + 22q^{72} + 66q^{73} + 12q^{74} - 176q^{78} - 32q^{79} + 138q^{80} + 16q^{81} - 58q^{84} - 84q^{85} + 42q^{86} - 24q^{87} - 60q^{89} + 48q^{92} + 6q^{93} - 72q^{94} - 42q^{96} - 86q^{98} - 24q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.60347 + 0.697597i −1.84093 + 0.493276i −0.998932 0.0462053i \(-0.985287\pi\)
−0.841998 + 0.539481i \(0.818621\pi\)
\(3\) −0.657528 + 0.379624i −0.379624 + 0.219176i −0.677655 0.735380i \(-0.737004\pi\)
0.298031 + 0.954556i \(0.403670\pi\)
\(4\) 4.55935 2.63234i 2.27968 1.31617i
\(5\) 0.654162 + 2.44137i 0.292550 + 1.09181i 0.943143 + 0.332386i \(0.107854\pi\)
−0.650593 + 0.759426i \(0.725480\pi\)
\(6\) 1.44703 1.44703i 0.590746 0.590746i
\(7\) −2.54528 0.722189i −0.962025 0.272962i
\(8\) −6.22207 + 6.22207i −2.19983 + 2.19983i
\(9\) −1.21177 + 2.09885i −0.403924 + 0.699617i
\(10\) −3.40618 5.89968i −1.07713 1.86564i
\(11\) −2.08105 0.557615i −0.627459 0.168127i −0.0689427 0.997621i \(-0.521963\pi\)
−0.558516 + 0.829493i \(0.688629\pi\)
\(12\) −1.99860 + 3.46168i −0.576946 + 0.999300i
\(13\) −1.44703 + 3.30244i −0.401333 + 0.915932i
\(14\) 7.13035 + 0.104617i 1.90567 + 0.0279602i
\(15\) −1.35693 1.35693i −0.350358 0.350358i
\(16\) 6.59378 11.4208i 1.64844 2.85519i
\(17\) 0.700866 + 1.21393i 0.169985 + 0.294422i 0.938414 0.345512i \(-0.112295\pi\)
−0.768429 + 0.639935i \(0.778961\pi\)
\(18\) 1.69066 6.30962i 0.398492 1.48719i
\(19\) 0.541814 + 2.02208i 0.124301 + 0.463896i 0.999814 0.0192980i \(-0.00614311\pi\)
−0.875513 + 0.483194i \(0.839476\pi\)
\(20\) 9.40907 + 9.40907i 2.10393 + 2.10393i
\(21\) 1.94775 0.491389i 0.425034 0.107230i
\(22\) 5.80693 1.23804
\(23\) 1.13887 + 0.657528i 0.237471 + 0.137104i 0.614014 0.789295i \(-0.289554\pi\)
−0.376543 + 0.926399i \(0.622887\pi\)
\(24\) 1.72914 6.45323i 0.352959 1.31726i
\(25\) −1.20221 + 0.694099i −0.240443 + 0.138820i
\(26\) 1.46352 9.60724i 0.287019 1.88413i
\(27\) 4.11781i 0.792473i
\(28\) −13.5059 + 3.40733i −2.55237 + 0.643925i
\(29\) −4.56814 −0.848282 −0.424141 0.905596i \(-0.639424\pi\)
−0.424141 + 0.905596i \(0.639424\pi\)
\(30\) 4.47931 + 2.58613i 0.817807 + 0.472161i
\(31\) 7.03077 + 1.88389i 1.26276 + 0.338357i 0.827254 0.561828i \(-0.189902\pi\)
0.435509 + 0.900184i \(0.356568\pi\)
\(32\) −4.64473 + 17.3344i −0.821079 + 3.06431i
\(33\) 1.58003 0.423368i 0.275048 0.0736988i
\(34\) −2.67152 2.67152i −0.458162 0.458162i
\(35\) 0.0981036 6.68639i 0.0165825 1.13021i
\(36\) 12.7592i 2.12653i
\(37\) 0.591026 + 2.20574i 0.0971640 + 0.362621i 0.997339 0.0729080i \(-0.0232280\pi\)
−0.900175 + 0.435529i \(0.856561\pi\)
\(38\) −2.82119 4.88645i −0.457658 0.792686i
\(39\) −0.302224 2.72077i −0.0483946 0.435672i
\(40\) −19.2606 11.1201i −3.04537 1.75824i
\(41\) 2.69291 2.69291i 0.420562 0.420562i −0.464835 0.885397i \(-0.653886\pi\)
0.885397 + 0.464835i \(0.153886\pi\)
\(42\) −4.72812 + 2.63806i −0.729564 + 0.407062i
\(43\) 0.437721i 0.0667518i 0.999443 + 0.0333759i \(0.0106258\pi\)
−0.999443 + 0.0333759i \(0.989374\pi\)
\(44\) −10.9561 + 2.93567i −1.65169 + 0.442569i
\(45\) −5.91676 1.58539i −0.882018 0.236336i
\(46\) −3.42370 0.917379i −0.504798 0.135260i
\(47\) 7.74178 2.07440i 1.12926 0.302583i 0.354632 0.935006i \(-0.384606\pi\)
0.774623 + 0.632423i \(0.217940\pi\)
\(48\) 10.0126i 1.44520i
\(49\) 5.95689 + 3.67635i 0.850984 + 0.525192i
\(50\) 2.64573 2.64573i 0.374162 0.374162i
\(51\) −0.921677 0.532130i −0.129061 0.0745131i
\(52\) 2.09565 + 18.8661i 0.290614 + 2.61625i
\(53\) 1.26798 + 2.19621i 0.174171 + 0.301672i 0.939874 0.341522i \(-0.110942\pi\)
−0.765703 + 0.643194i \(0.777609\pi\)
\(54\) 2.87257 + 10.7206i 0.390908 + 1.45889i
\(55\) 5.44537i 0.734253i
\(56\) 20.3304 11.3434i 2.71677 1.51582i
\(57\) −1.12389 1.12389i −0.148862 0.148862i
\(58\) 11.8930 3.18672i 1.56163 0.418437i
\(59\) −2.02057 + 7.54086i −0.263056 + 0.981737i 0.700374 + 0.713776i \(0.253016\pi\)
−0.963430 + 0.267961i \(0.913650\pi\)
\(60\) −9.75863 2.61482i −1.25983 0.337571i
\(61\) 6.57067 + 3.79358i 0.841288 + 0.485718i 0.857702 0.514147i \(-0.171892\pi\)
−0.0164139 + 0.999865i \(0.505225\pi\)
\(62\) −19.6186 −2.49156
\(63\) 4.60006 4.46703i 0.579554 0.562793i
\(64\) 21.9945i 2.74931i
\(65\) −9.00906 1.37239i −1.11744 0.170224i
\(66\) −3.81822 + 2.20445i −0.469990 + 0.271349i
\(67\) 0.146927 0.548339i 0.0179500 0.0669903i −0.956370 0.292159i \(-0.905627\pi\)
0.974320 + 0.225168i \(0.0722932\pi\)
\(68\) 6.39099 + 3.68984i 0.775021 + 0.447459i
\(69\) −0.998452 −0.120200
\(70\) 4.40899 + 17.4762i 0.526976 + 2.08881i
\(71\) −10.7460 10.7460i −1.27531 1.27531i −0.943263 0.332048i \(-0.892261\pi\)
−0.332048 0.943263i \(-0.607739\pi\)
\(72\) −5.51947 20.5989i −0.650475 2.42761i
\(73\) 3.18733 11.8953i 0.373049 1.39224i −0.483125 0.875551i \(-0.660498\pi\)
0.856174 0.516687i \(-0.172835\pi\)
\(74\) −3.07743 5.33027i −0.357744 0.619631i
\(75\) 0.526993 0.912778i 0.0608519 0.105399i
\(76\) 7.79312 + 7.79312i 0.893933 + 0.893933i
\(77\) 4.89414 + 2.92219i 0.557739 + 0.333015i
\(78\) 2.68483 + 6.87261i 0.303998 + 0.778170i
\(79\) −7.19713 + 12.4658i −0.809740 + 1.40251i 0.103303 + 0.994650i \(0.467059\pi\)
−0.913044 + 0.407862i \(0.866275\pi\)
\(80\) 32.1956 + 8.62680i 3.59958 + 0.964505i
\(81\) −2.07210 3.58898i −0.230233 0.398775i
\(82\) −5.13234 + 8.88948i −0.566773 + 0.981679i
\(83\) 3.82648 3.82648i 0.420010 0.420010i −0.465197 0.885207i \(-0.654016\pi\)
0.885207 + 0.465197i \(0.154016\pi\)
\(84\) 7.58698 7.36756i 0.827807 0.803867i
\(85\) −2.50518 + 2.50518i −0.271725 + 0.271725i
\(86\) −0.305353 1.13959i −0.0329270 0.122885i
\(87\) 3.00368 1.73417i 0.322028 0.185923i
\(88\) 16.4179 9.47890i 1.75016 1.01045i
\(89\) −0.0501018 + 0.0134247i −0.00531078 + 0.00142302i −0.261473 0.965211i \(-0.584208\pi\)
0.256163 + 0.966634i \(0.417542\pi\)
\(90\) 16.5101 1.74031
\(91\) 6.06807 7.36060i 0.636107 0.771601i
\(92\) 6.92335 0.721809
\(93\) −5.33809 + 1.43034i −0.553535 + 0.148319i
\(94\) −18.7084 + 10.8013i −1.92962 + 1.11407i
\(95\) −4.58220 + 2.64553i −0.470124 + 0.271426i
\(96\) −3.52650 13.1611i −0.359922 1.34325i
\(97\) −9.43761 + 9.43761i −0.958244 + 0.958244i −0.999162 0.0409188i \(-0.986972\pi\)
0.0409188 + 0.999162i \(0.486972\pi\)
\(98\) −18.0732 5.41574i −1.82567 0.547072i
\(99\) 3.69210 3.69210i 0.371070 0.371070i
\(100\) −3.65421 + 6.32928i −0.365421 + 0.632928i
\(101\) 7.17255 + 12.4232i 0.713696 + 1.23616i 0.963461 + 0.267850i \(0.0863133\pi\)
−0.249765 + 0.968306i \(0.580353\pi\)
\(102\) 2.77077 + 0.742425i 0.274347 + 0.0735110i
\(103\) −4.50750 + 7.80723i −0.444138 + 0.769269i −0.997992 0.0633449i \(-0.979823\pi\)
0.553854 + 0.832614i \(0.313157\pi\)
\(104\) −11.5445 29.5515i −1.13203 2.89777i
\(105\) 2.47380 + 4.43373i 0.241419 + 0.432687i
\(106\) −4.83321 4.83321i −0.469443 0.469443i
\(107\) −2.15478 + 3.73220i −0.208311 + 0.360805i −0.951183 0.308629i \(-0.900130\pi\)
0.742872 + 0.669434i \(0.233463\pi\)
\(108\) −10.8395 18.7746i −1.04303 1.80658i
\(109\) −1.90909 + 7.12483i −0.182858 + 0.682434i 0.812221 + 0.583350i \(0.198258\pi\)
−0.995079 + 0.0990849i \(0.968408\pi\)
\(110\) 3.79867 + 14.1768i 0.362189 + 1.35171i
\(111\) −1.22597 1.22597i −0.116364 0.116364i
\(112\) −25.0309 + 24.3071i −2.36520 + 2.29680i
\(113\) 10.1580 0.955583 0.477792 0.878473i \(-0.341437\pi\)
0.477792 + 0.878473i \(0.341437\pi\)
\(114\) 3.71002 + 2.14198i 0.347475 + 0.200615i
\(115\) −0.860259 + 3.21053i −0.0802196 + 0.299384i
\(116\) −20.8278 + 12.0249i −1.93381 + 1.11649i
\(117\) −5.17786 7.03890i −0.478693 0.650746i
\(118\) 21.0419i 1.93707i
\(119\) −0.907207 3.59596i −0.0831636 0.329641i
\(120\) 16.8858 1.54146
\(121\) −5.50646 3.17915i −0.500587 0.289014i
\(122\) −19.7529 5.29278i −1.78834 0.479186i
\(123\) −0.748371 + 2.79296i −0.0674783 + 0.251833i
\(124\) 37.0148 9.91809i 3.32403 0.890671i
\(125\) 6.45503 + 6.45503i 0.577355 + 0.577355i
\(126\) −8.85993 + 14.8388i −0.789305 + 1.32194i
\(127\) 8.50086i 0.754329i −0.926146 0.377165i \(-0.876899\pi\)
0.926146 0.377165i \(-0.123101\pi\)
\(128\) 6.05383 + 22.5932i 0.535088 + 1.99698i
\(129\) −0.166169 0.287813i −0.0146304 0.0253405i
\(130\) 24.4122 2.71171i 2.14109 0.237833i
\(131\) −7.97433 4.60398i −0.696720 0.402252i 0.109404 0.993997i \(-0.465106\pi\)
−0.806125 + 0.591746i \(0.798439\pi\)
\(132\) 6.08946 6.08946i 0.530020 0.530020i
\(133\) 0.0812549 5.53804i 0.00704570 0.480209i
\(134\) 1.53008i 0.132179i
\(135\) 10.0531 2.69372i 0.865232 0.231838i
\(136\) −11.9140 3.19235i −1.02162 0.273742i
\(137\) 8.78945 + 2.35513i 0.750934 + 0.201212i 0.613932 0.789359i \(-0.289587\pi\)
0.137002 + 0.990571i \(0.456253\pi\)
\(138\) 2.59944 0.696517i 0.221279 0.0592915i
\(139\) 0.744275i 0.0631286i 0.999502 + 0.0315643i \(0.0100489\pi\)
−0.999502 + 0.0315643i \(0.989951\pi\)
\(140\) −17.1536 30.7438i −1.44974 2.59833i
\(141\) −4.30294 + 4.30294i −0.362373 + 0.362373i
\(142\) 35.4731 + 20.4804i 2.97684 + 1.71868i
\(143\) 4.85282 6.06565i 0.405813 0.507235i
\(144\) 15.9803 + 27.6787i 1.33169 + 2.30656i
\(145\) −2.98830 11.1525i −0.248165 0.926165i
\(146\) 33.1925i 2.74703i
\(147\) −5.31244 0.155923i −0.438163 0.0128603i
\(148\) 8.50095 + 8.50095i 0.698774 + 0.698774i
\(149\) 14.4547 3.87314i 1.18418 0.317300i 0.387596 0.921829i \(-0.373306\pi\)
0.796583 + 0.604530i \(0.206639\pi\)
\(150\) −0.735257 + 2.74402i −0.0600335 + 0.224048i
\(151\) −12.2190 3.27408i −0.994372 0.266441i −0.275286 0.961362i \(-0.588773\pi\)
−0.719086 + 0.694921i \(0.755439\pi\)
\(152\) −15.9527 9.21030i −1.29394 0.747054i
\(153\) −3.39716 −0.274644
\(154\) −14.7803 4.19370i −1.19103 0.337938i
\(155\) 18.3971i 1.47769i
\(156\) −8.53995 11.6094i −0.683743 0.929496i
\(157\) 9.11258 5.26115i 0.727263 0.419886i −0.0901569 0.995928i \(-0.528737\pi\)
0.817420 + 0.576042i \(0.195404\pi\)
\(158\) 10.0414 37.4750i 0.798850 2.98135i
\(159\) −1.66746 0.962711i −0.132239 0.0763479i
\(160\) −45.3579 −3.58586
\(161\) −2.42388 2.49607i −0.191029 0.196718i
\(162\) 7.89830 + 7.89830i 0.620549 + 0.620549i
\(163\) 0.139429 + 0.520357i 0.0109209 + 0.0407575i 0.971171 0.238383i \(-0.0766172\pi\)
−0.960250 + 0.279140i \(0.909951\pi\)
\(164\) 5.18927 19.3666i 0.405214 1.51228i
\(165\) 2.06719 + 3.58048i 0.160931 + 0.278740i
\(166\) −7.29277 + 12.6314i −0.566029 + 0.980390i
\(167\) 4.43553 + 4.43553i 0.343232 + 0.343232i 0.857581 0.514349i \(-0.171966\pi\)
−0.514349 + 0.857581i \(0.671966\pi\)
\(168\) −9.06159 + 15.1765i −0.699117 + 1.17089i
\(169\) −8.81222 9.55744i −0.677863 0.735188i
\(170\) 4.77455 8.26976i 0.366191 0.634262i
\(171\) −4.90059 1.31311i −0.374758 0.100416i
\(172\) 1.15223 + 1.99572i 0.0878568 + 0.152172i
\(173\) 1.29813 2.24843i 0.0986952 0.170945i −0.812450 0.583031i \(-0.801866\pi\)
0.911145 + 0.412086i \(0.135200\pi\)
\(174\) −6.61022 + 6.61022i −0.501120 + 0.501120i
\(175\) 3.56124 0.898449i 0.269205 0.0679163i
\(176\) −20.0903 + 20.0903i −1.51437 + 1.51437i
\(177\) −1.53411 5.72538i −0.115311 0.430346i
\(178\) 0.121073 0.0699017i 0.00907482 0.00523935i
\(179\) −1.39849 + 0.807419i −0.104528 + 0.0603493i −0.551353 0.834272i \(-0.685888\pi\)
0.446825 + 0.894622i \(0.352555\pi\)
\(180\) −31.1499 + 8.34658i −2.32177 + 0.622118i
\(181\) 2.49671 0.185579 0.0927895 0.995686i \(-0.470422\pi\)
0.0927895 + 0.995686i \(0.470422\pi\)
\(182\) −10.6633 + 23.3962i −0.790416 + 1.73424i
\(183\) −5.76053 −0.425830
\(184\) −11.1773 + 2.99495i −0.824003 + 0.220791i
\(185\) −4.99839 + 2.88582i −0.367489 + 0.212170i
\(186\) 12.8998 7.44768i 0.945856 0.546090i
\(187\) −0.781626 2.91707i −0.0571582 0.213317i
\(188\) 29.8370 29.8370i 2.17609 2.17609i
\(189\) −2.97384 + 10.4810i −0.216315 + 0.762379i
\(190\) 10.0841 10.0841i 0.731577 0.731577i
\(191\) 5.46624 9.46781i 0.395523 0.685066i −0.597645 0.801761i \(-0.703897\pi\)
0.993168 + 0.116695i \(0.0372299\pi\)
\(192\) 8.34963 + 14.4620i 0.602582 + 1.04370i
\(193\) 6.01922 + 1.61284i 0.433273 + 0.116095i 0.468862 0.883271i \(-0.344664\pi\)
−0.0355893 + 0.999367i \(0.511331\pi\)
\(194\) 17.9869 31.1542i 1.29138 2.23674i
\(195\) 6.44470 2.51767i 0.461514 0.180294i
\(196\) 36.8369 + 1.08119i 2.63121 + 0.0772276i
\(197\) 11.4927 + 11.4927i 0.818821 + 0.818821i 0.985937 0.167116i \(-0.0534455\pi\)
−0.167116 + 0.985937i \(0.553446\pi\)
\(198\) −7.03667 + 12.1879i −0.500075 + 0.866154i
\(199\) 9.02611 + 15.6337i 0.639844 + 1.10824i 0.985467 + 0.169868i \(0.0543342\pi\)
−0.345623 + 0.938373i \(0.612332\pi\)
\(200\) 3.16153 11.7990i 0.223554 0.834315i
\(201\) 0.111554 + 0.416325i 0.00786841 + 0.0293653i
\(202\) −27.3399 27.3399i −1.92363 1.92363i
\(203\) 11.6272 + 3.29906i 0.816069 + 0.231549i
\(204\) −5.60300 −0.392288
\(205\) 8.33599 + 4.81279i 0.582211 + 0.336140i
\(206\) 6.28884 23.4703i 0.438164 1.63525i
\(207\) −2.76010 + 1.59355i −0.191840 + 0.110759i
\(208\) 28.1750 + 38.3017i 1.95358 + 2.65574i
\(209\) 4.51016i 0.311974i
\(210\) −9.53343 9.81734i −0.657869 0.677461i
\(211\) 2.78534 0.191750 0.0958752 0.995393i \(-0.469435\pi\)
0.0958752 + 0.995393i \(0.469435\pi\)
\(212\) 11.5623 + 6.67552i 0.794105 + 0.458477i
\(213\) 11.1452 + 2.98634i 0.763655 + 0.204621i
\(214\) 3.00634 11.2198i 0.205509 0.766971i
\(215\) −1.06864 + 0.286340i −0.0728804 + 0.0195282i
\(216\) 25.6213 + 25.6213i 1.74331 + 1.74331i
\(217\) −16.5347 9.87257i −1.12245 0.670194i
\(218\) 19.8810i 1.34651i
\(219\) 2.41997 + 9.03147i 0.163527 + 0.610290i
\(220\) −14.3341 24.8274i −0.966403 1.67386i
\(221\) −5.02312 + 0.557970i −0.337892 + 0.0375331i
\(222\) 4.04699 + 2.33653i 0.271616 + 0.156818i
\(223\) −12.1327 + 12.1327i −0.812463 + 0.812463i −0.985003 0.172540i \(-0.944803\pi\)
0.172540 + 0.985003i \(0.444803\pi\)
\(224\) 24.3408 40.7664i 1.62634 2.72382i
\(225\) 3.36436i 0.224291i
\(226\) −26.4460 + 7.08618i −1.75916 + 0.471366i
\(227\) −16.5653 4.43867i −1.09948 0.294605i −0.336927 0.941531i \(-0.609388\pi\)
−0.762553 + 0.646926i \(0.776054\pi\)
\(228\) −8.08265 2.16574i −0.535286 0.143430i
\(229\) −21.0444 + 5.63884i −1.39065 + 0.372625i −0.874980 0.484160i \(-0.839125\pi\)
−0.515675 + 0.856784i \(0.672459\pi\)
\(230\) 8.95863i 0.590715i
\(231\) −4.32737 0.0634917i −0.284720 0.00417745i
\(232\) 28.4233 28.4233i 1.86608 1.86608i
\(233\) −26.1233 15.0823i −1.71139 0.988073i −0.932688 0.360683i \(-0.882544\pi\)
−0.778705 0.627390i \(-0.784123\pi\)
\(234\) 18.3907 + 14.7135i 1.20224 + 0.961850i
\(235\) 10.1288 + 17.5435i 0.660728 + 1.14441i
\(236\) 10.6377 + 39.7003i 0.692453 + 2.58427i
\(237\) 10.9288i 0.709902i
\(238\) 4.87042 + 8.72910i 0.315702 + 0.565823i
\(239\) 10.1720 + 10.1720i 0.657969 + 0.657969i 0.954899 0.296930i \(-0.0959628\pi\)
−0.296930 + 0.954899i \(0.595963\pi\)
\(240\) −24.4445 + 6.54987i −1.57788 + 0.422793i
\(241\) 5.53040 20.6397i 0.356245 1.32952i −0.522667 0.852537i \(-0.675063\pi\)
0.878911 0.476986i \(-0.158271\pi\)
\(242\) 16.5537 + 4.43554i 1.06411 + 0.285127i
\(243\) 13.4233 + 7.74995i 0.861106 + 0.497160i
\(244\) 39.9440 2.55715
\(245\) −5.07854 + 16.9479i −0.324456 + 1.08276i
\(246\) 7.79344i 0.496891i
\(247\) −7.46181 1.13669i −0.474784 0.0723260i
\(248\) −55.4677 + 32.0243i −3.52220 + 2.03354i
\(249\) −1.06339 + 3.96863i −0.0673897 + 0.251502i
\(250\) −21.3085 12.3024i −1.34767 0.778075i
\(251\) −10.4531 −0.659791 −0.329896 0.944017i \(-0.607014\pi\)
−0.329896 + 0.944017i \(0.607014\pi\)
\(252\) 9.21455 32.4757i 0.580462 2.04578i
\(253\) −2.00340 2.00340i −0.125952 0.125952i
\(254\) 5.93017 + 22.1317i 0.372092 + 1.38867i
\(255\) 0.696199 2.59825i 0.0435977 0.162709i
\(256\) −9.52744 16.5020i −0.595465 1.03138i
\(257\) −7.01434 + 12.1492i −0.437543 + 0.757846i −0.997499 0.0706758i \(-0.977484\pi\)
0.559957 + 0.828522i \(0.310818\pi\)
\(258\) 0.633394 + 0.633394i 0.0394334 + 0.0394334i
\(259\) 0.0886351 6.04105i 0.00550752 0.375373i
\(260\) −44.6881 + 17.4577i −2.77144 + 1.08268i
\(261\) 5.53554 9.58784i 0.342641 0.593472i
\(262\) 23.9726 + 6.42345i 1.48103 + 0.396842i
\(263\) −1.26443 2.19006i −0.0779683 0.135045i 0.824405 0.566000i \(-0.191510\pi\)
−0.902373 + 0.430955i \(0.858177\pi\)
\(264\) −7.19683 + 12.4653i −0.442934 + 0.767185i
\(265\) −4.53228 + 4.53228i −0.278416 + 0.278416i
\(266\) 3.65178 + 14.4748i 0.223905 + 0.887507i
\(267\) 0.0278469 0.0278469i 0.00170420 0.00170420i
\(268\) −0.773525 2.88683i −0.0472505 0.176341i
\(269\) −7.00983 + 4.04713i −0.427397 + 0.246758i −0.698237 0.715867i \(-0.746032\pi\)
0.270840 + 0.962624i \(0.412699\pi\)
\(270\) −24.2938 + 14.0260i −1.47847 + 0.853596i
\(271\) 27.0677 7.25276i 1.64424 0.440574i 0.686251 0.727365i \(-0.259255\pi\)
0.957993 + 0.286791i \(0.0925884\pi\)
\(272\) 18.4854 1.12084
\(273\) −1.19567 + 7.14338i −0.0723650 + 0.432337i
\(274\) −24.5260 −1.48167
\(275\) 2.88891 0.774080i 0.174208 0.0466788i
\(276\) −4.55229 + 2.62827i −0.274016 + 0.158203i
\(277\) 7.99289 4.61469i 0.480246 0.277270i −0.240273 0.970705i \(-0.577237\pi\)
0.720519 + 0.693435i \(0.243904\pi\)
\(278\) −0.519204 1.93770i −0.0311398 0.116215i
\(279\) −12.4737 + 12.4737i −0.746780 + 0.746780i
\(280\) 40.9928 + 42.2136i 2.44979 + 2.52274i
\(281\) 8.78641 8.78641i 0.524153 0.524153i −0.394670 0.918823i \(-0.629141\pi\)
0.918823 + 0.394670i \(0.129141\pi\)
\(282\) 8.20085 14.2043i 0.488354 0.845853i
\(283\) 2.72067 + 4.71234i 0.161727 + 0.280119i 0.935488 0.353358i \(-0.114960\pi\)
−0.773761 + 0.633477i \(0.781627\pi\)
\(284\) −77.2816 20.7076i −4.58582 1.22877i
\(285\) 2.00861 3.47902i 0.118980 0.206079i
\(286\) −8.40279 + 19.1770i −0.496867 + 1.13396i
\(287\) −8.79901 + 4.90942i −0.519389 + 0.289794i
\(288\) −30.7539 30.7539i −1.81219 1.81219i
\(289\) 7.51758 13.0208i 0.442210 0.765931i
\(290\) 15.5599 + 26.9506i 0.913709 + 1.58259i
\(291\) 2.62275 9.78822i 0.153748 0.573796i
\(292\) −16.7803 62.6250i −0.981993 3.66485i
\(293\) 8.39280 + 8.39280i 0.490313 + 0.490313i 0.908405 0.418092i \(-0.137301\pi\)
−0.418092 + 0.908405i \(0.637301\pi\)
\(294\) 13.9395 3.30000i 0.812971 0.192460i
\(295\) −19.7318 −1.14883
\(296\) −17.4017 10.0469i −1.01145 0.583962i
\(297\) −2.29615 + 8.56936i −0.133236 + 0.497245i
\(298\) −34.9306 + 20.1672i −2.02347 + 1.16825i
\(299\) −3.81942 + 2.80959i −0.220883 + 0.162483i
\(300\) 5.54890i 0.320366i
\(301\) 0.316117 1.11412i 0.0182207 0.0642168i
\(302\) 34.0959 1.96200
\(303\) −9.43230 5.44574i −0.541871 0.312850i
\(304\) 26.6663 + 7.14520i 1.52941 + 0.409805i
\(305\) −4.96323 + 18.5230i −0.284194 + 1.06063i
\(306\) 8.84439 2.36985i 0.505600 0.135475i
\(307\) 1.45103 + 1.45103i 0.0828145 + 0.0828145i 0.747301 0.664486i \(-0.231350\pi\)
−0.664486 + 0.747301i \(0.731350\pi\)
\(308\) 30.0063 + 0.440257i 1.70977 + 0.0250860i
\(309\) 6.84462i 0.389377i
\(310\) −12.8337 47.8962i −0.728907 2.72032i
\(311\) 1.64915 + 2.85641i 0.0935147 + 0.161972i 0.908988 0.416823i \(-0.136856\pi\)
−0.815473 + 0.578795i \(0.803523\pi\)
\(312\) 18.8093 + 15.0484i 1.06487 + 0.851946i
\(313\) −20.7394 11.9739i −1.17226 0.676805i −0.218049 0.975938i \(-0.569969\pi\)
−0.954212 + 0.299133i \(0.903303\pi\)
\(314\) −20.0542 + 20.0542i −1.13172 + 1.13172i
\(315\) 13.9148 + 8.30828i 0.784013 + 0.468118i
\(316\) 75.7813i 4.26303i
\(317\) 29.2702 7.84293i 1.64398 0.440503i 0.686061 0.727544i \(-0.259338\pi\)
0.957918 + 0.287041i \(0.0926715\pi\)
\(318\) 5.01277 + 1.34317i 0.281102 + 0.0753212i
\(319\) 9.50651 + 2.54726i 0.532263 + 0.142619i
\(320\) 53.6966 14.3880i 3.00173 0.804311i
\(321\) 3.27203i 0.182627i
\(322\) 8.05176 + 4.80755i 0.448707 + 0.267914i
\(323\) −2.07493 + 2.07493i −0.115452 + 0.115452i
\(324\) −18.8948 10.9089i −1.04971 0.606052i
\(325\) −0.552583 4.97462i −0.0306518 0.275942i
\(326\) −0.725999 1.25747i −0.0402094 0.0696447i
\(327\) −1.44947 5.40950i −0.0801560 0.299146i
\(328\) 33.5110i 1.85034i
\(329\) −21.2031 0.311095i −1.16897 0.0171512i
\(330\) −7.87960 7.87960i −0.433758 0.433758i
\(331\) 9.23949 2.47572i 0.507849 0.136078i 0.00420839 0.999991i \(-0.498660\pi\)
0.503640 + 0.863914i \(0.331994\pi\)
\(332\) 7.37365 27.5188i 0.404682 1.51029i
\(333\) −5.34570 1.43238i −0.292943 0.0784937i
\(334\) −14.6420 8.45355i −0.801173 0.462557i
\(335\) 1.43481 0.0783921
\(336\) 7.23100 25.4849i 0.394484 1.39031i
\(337\) 24.0729i 1.31133i −0.755050 0.655667i \(-0.772388\pi\)
0.755050 0.655667i \(-0.227612\pi\)
\(338\) 29.6096 + 18.7351i 1.61055 + 1.01906i
\(339\) −6.67916 + 3.85621i −0.362762 + 0.209441i
\(340\) −4.82750 + 18.0165i −0.261808 + 0.977081i
\(341\) −13.5809 7.84092i −0.735446 0.424610i
\(342\) 13.6746 0.739435
\(343\) −12.5069 13.6593i −0.675310 0.737534i
\(344\) −2.72353 2.72353i −0.146843 0.146843i
\(345\) −0.653150 2.43759i −0.0351644 0.131235i
\(346\) −1.81115 + 6.75929i −0.0973679 + 0.363382i
\(347\) 1.98989 + 3.44658i 0.106823 + 0.185022i 0.914481 0.404628i \(-0.132599\pi\)
−0.807659 + 0.589650i \(0.799266\pi\)
\(348\) 9.12988 15.8134i 0.489413 0.847688i
\(349\) 5.05995 + 5.05995i 0.270853 + 0.270853i 0.829443 0.558591i \(-0.188658\pi\)
−0.558591 + 0.829443i \(0.688658\pi\)
\(350\) −8.64482 + 4.82340i −0.462085 + 0.257821i
\(351\) 13.5988 + 5.95859i 0.725852 + 0.318046i
\(352\) 19.3318 33.4836i 1.03039 1.78468i
\(353\) −9.45731 2.53408i −0.503362 0.134875i −0.00180195 0.999998i \(-0.500574\pi\)
−0.501560 + 0.865123i \(0.667240\pi\)
\(354\) 7.98802 + 13.8357i 0.424558 + 0.735357i
\(355\) 19.2052 33.2644i 1.01931 1.76549i
\(356\) −0.193093 + 0.193093i −0.0102339 + 0.0102339i
\(357\) 1.96163 + 2.02004i 0.103820 + 0.106912i
\(358\) 3.07767 3.07767i 0.162660 0.162660i
\(359\) 9.63119 + 35.9441i 0.508315 + 1.89706i 0.436657 + 0.899628i \(0.356162\pi\)
0.0716576 + 0.997429i \(0.477171\pi\)
\(360\) 46.6789 26.9501i 2.46019 1.42039i
\(361\) 12.6592 7.30882i 0.666276 0.384675i
\(362\) −6.50011 + 1.74170i −0.341638 + 0.0915416i
\(363\) 4.82753 0.253380
\(364\) 8.29086 49.5328i 0.434559 2.59623i
\(365\) 31.1258 1.62920
\(366\) 14.9973 4.01853i 0.783924 0.210052i
\(367\) 24.6834 14.2510i 1.28846 0.743895i 0.310083 0.950709i \(-0.399643\pi\)
0.978380 + 0.206814i \(0.0663097\pi\)
\(368\) 15.0189 8.67118i 0.782915 0.452016i
\(369\) 2.38883 + 8.91522i 0.124357 + 0.464108i
\(370\) 11.0000 11.0000i 0.571863 0.571863i
\(371\) −1.64129 6.50568i −0.0852114 0.337758i
\(372\) −20.5731 + 20.5731i −1.06667 + 1.06667i
\(373\) 2.36014 4.08789i 0.122204 0.211663i −0.798433 0.602084i \(-0.794337\pi\)
0.920636 + 0.390421i \(0.127671\pi\)
\(374\) 4.06988 + 7.04923i 0.210448 + 0.364507i
\(375\) −6.69484 1.79388i −0.345720 0.0926354i
\(376\) −35.2628 + 61.0770i −1.81854 + 3.14981i
\(377\) 6.61022 15.0860i 0.340444 0.776969i
\(378\) 0.430795 29.3614i 0.0221577 1.51019i
\(379\) 4.79288 + 4.79288i 0.246193 + 0.246193i 0.819406 0.573213i \(-0.194303\pi\)
−0.573213 + 0.819406i \(0.694303\pi\)
\(380\) −13.9279 + 24.1238i −0.714486 + 1.23753i
\(381\) 3.22713 + 5.58955i 0.165331 + 0.286361i
\(382\) −7.62647 + 28.4624i −0.390204 + 1.45626i
\(383\) 1.37562 + 5.13388i 0.0702908 + 0.262329i 0.992124 0.125257i \(-0.0399756\pi\)
−0.921833 + 0.387586i \(0.873309\pi\)
\(384\) −12.5575 12.5575i −0.640821 0.640821i
\(385\) −3.93259 + 13.8600i −0.200423 + 0.706370i
\(386\) −16.7960 −0.854892
\(387\) −0.918710 0.530417i −0.0467006 0.0269626i
\(388\) −18.1864 + 67.8724i −0.923272 + 3.44570i
\(389\) 30.2004 17.4362i 1.53122 0.884050i 0.531913 0.846799i \(-0.321473\pi\)
0.999306 0.0372510i \(-0.0118601\pi\)
\(390\) −15.0222 + 11.0505i −0.760681 + 0.559562i
\(391\) 1.84335i 0.0932224i
\(392\) −59.9386 + 14.1897i −3.02736 + 0.716687i
\(393\) 6.99112 0.352655
\(394\) −37.9381 21.9036i −1.91130 1.10349i
\(395\) −35.1417 9.41618i −1.76817 0.473779i
\(396\) 7.11472 26.5525i 0.357528 1.33431i
\(397\) −35.1924 + 9.42978i −1.76626 + 0.473267i −0.987970 0.154643i \(-0.950577\pi\)
−0.778286 + 0.627910i \(0.783910\pi\)
\(398\) −34.4052 34.4052i −1.72458 1.72458i
\(399\) 2.04894 + 3.67226i 0.102576 + 0.183843i
\(400\) 18.3069i 0.915347i
\(401\) −3.80657 14.2063i −0.190091 0.709430i −0.993483 0.113979i \(-0.963640\pi\)
0.803392 0.595451i \(-0.203026\pi\)
\(402\) −0.580854 1.00607i −0.0289704 0.0501782i
\(403\) −16.3952 + 20.4927i −0.816701 + 1.02081i
\(404\) 65.4044 + 37.7612i 3.25399 + 1.87869i
\(405\) 7.40652 7.40652i 0.368033 0.368033i
\(406\) −32.5724 0.477907i −1.61654 0.0237181i
\(407\) 4.91981i 0.243866i
\(408\) 9.04569 2.42379i 0.447828 0.119995i
\(409\) 2.12306 + 0.568872i 0.104979 + 0.0281289i 0.310926 0.950434i \(-0.399361\pi\)
−0.205947 + 0.978563i \(0.566028\pi\)
\(410\) −25.0599 6.71477i −1.23762 0.331619i
\(411\) −6.67337 + 1.78812i −0.329173 + 0.0882017i
\(412\) 47.4612i 2.33825i
\(413\) 10.5888 17.7344i 0.521043 0.872651i
\(414\) 6.07419 6.07419i 0.298530 0.298530i
\(415\) 11.8450 + 6.83869i 0.581446 + 0.335698i
\(416\) −50.5246 40.4222i −2.47717 1.98186i
\(417\) −0.282545 0.489381i −0.0138363 0.0239651i
\(418\) 3.14628 + 11.7421i 0.153889 + 0.574323i
\(419\) 31.5129i 1.53951i −0.638342 0.769753i \(-0.720380\pi\)
0.638342 0.769753i \(-0.279620\pi\)
\(420\) 22.9500 + 13.7030i 1.11985 + 0.668639i
\(421\) −10.0626 10.0626i −0.490422 0.490422i 0.418017 0.908439i \(-0.362725\pi\)
−0.908439 + 0.418017i \(0.862725\pi\)
\(422\) −7.25153 + 1.94304i −0.352999 + 0.0945858i
\(423\) −5.02741 + 18.7625i −0.244441 + 0.912266i
\(424\) −21.5544 5.77549i −1.04678 0.280483i
\(425\) −1.68518 0.972940i −0.0817433 0.0471945i
\(426\) −31.0994 −1.50677
\(427\) −13.9845 14.4010i −0.676757 0.696912i
\(428\) 22.6885i 1.09669i
\(429\) −0.888199 + 5.83058i −0.0428827 + 0.281503i
\(430\) 2.58241 1.49096i 0.124535 0.0719002i
\(431\) 3.44532 12.8581i 0.165955 0.619353i −0.831961 0.554834i \(-0.812782\pi\)
0.997916 0.0645192i \(-0.0205514\pi\)
\(432\) −47.0285 27.1519i −2.26266 1.30635i
\(433\) 29.1175 1.39930 0.699648 0.714488i \(-0.253340\pi\)
0.699648 + 0.714488i \(0.253340\pi\)
\(434\) 49.9348 + 14.1683i 2.39695 + 0.680102i
\(435\) 6.19865 + 6.19865i 0.297202 + 0.297202i
\(436\) 10.0508 + 37.5100i 0.481344 + 1.79640i
\(437\) −0.712515 + 2.65914i −0.0340842 + 0.127204i
\(438\) −12.6006 21.8250i −0.602082 1.04284i
\(439\) 5.15668 8.93164i 0.246115 0.426284i −0.716329 0.697762i \(-0.754179\pi\)
0.962445 + 0.271478i \(0.0875125\pi\)
\(440\) 33.8815 + 33.8815i 1.61524 + 1.61524i
\(441\) −14.9345 + 8.04772i −0.711166 + 0.383225i
\(442\) 12.6883 4.95677i 0.603520 0.235769i
\(443\) −0.307483 + 0.532577i −0.0146090 + 0.0253035i −0.873237 0.487295i \(-0.837984\pi\)
0.858628 + 0.512598i \(0.171317\pi\)
\(444\) −8.81677 2.36245i −0.418426 0.112117i
\(445\) −0.0655493 0.113535i −0.00310734 0.00538207i
\(446\) 23.1233 40.0507i 1.09492 1.89645i
\(447\) −8.03406 + 8.03406i −0.379998 + 0.379998i
\(448\) −15.8842 + 55.9821i −0.750457 + 2.64490i
\(449\) 8.66406 8.66406i 0.408882 0.408882i −0.472466 0.881349i \(-0.656636\pi\)
0.881349 + 0.472466i \(0.156636\pi\)
\(450\) 2.34697 + 8.75900i 0.110637 + 0.412903i
\(451\) −7.10569 + 4.10247i −0.334594 + 0.193178i
\(452\) 46.3139 26.7393i 2.17842 1.25771i
\(453\) 9.27728 2.48584i 0.435885 0.116795i
\(454\) 46.2237 2.16939
\(455\) 21.9394 + 9.99937i 1.02854 + 0.468777i
\(456\) 13.9858 0.654945
\(457\) 17.8605 4.78572i 0.835481 0.223866i 0.184378 0.982855i \(-0.440973\pi\)
0.651103 + 0.758989i \(0.274306\pi\)
\(458\) 50.8548 29.3611i 2.37629 1.37195i
\(459\) 4.99875 2.88603i 0.233322 0.134708i
\(460\) 4.52900 + 16.9024i 0.211165 + 0.788080i
\(461\) 5.20251 5.20251i 0.242305 0.242305i −0.575498 0.817803i \(-0.695192\pi\)
0.817803 + 0.575498i \(0.195192\pi\)
\(462\) 11.3105 2.85346i 0.526210 0.132755i
\(463\) −13.9818 + 13.9818i −0.649788 + 0.649788i −0.952942 0.303154i \(-0.901960\pi\)
0.303154 + 0.952942i \(0.401960\pi\)
\(464\) −30.1213 + 52.1716i −1.39835 + 2.42201i
\(465\) −6.98396 12.0966i −0.323873 0.560965i
\(466\) 78.5325 + 21.0427i 3.63795 + 0.974785i
\(467\) −4.94463 + 8.56435i −0.228810 + 0.396311i −0.957456 0.288580i \(-0.906817\pi\)
0.728646 + 0.684891i \(0.240150\pi\)
\(468\) −42.1365 18.4629i −1.94776 0.853448i
\(469\) −0.769975 + 1.28957i −0.0355541 + 0.0595467i
\(470\) −38.6082 38.6082i −1.78086 1.78086i
\(471\) −3.99452 + 6.91870i −0.184058 + 0.318797i
\(472\) −34.3477 59.4919i −1.58098 2.73834i
\(473\) 0.244079 0.910917i 0.0112228 0.0418840i
\(474\) 7.62390 + 28.4528i 0.350177 + 1.30688i
\(475\) −2.05490 2.05490i −0.0942852 0.0942852i
\(476\) −13.6021 14.0072i −0.623450 0.642017i
\(477\) −6.14601 −0.281407
\(478\) −33.5783 19.3864i −1.53584 0.886715i
\(479\) 3.51431 13.1156i 0.160573 0.599267i −0.837990 0.545685i \(-0.816270\pi\)
0.998563 0.0535818i \(-0.0170638\pi\)
\(480\) 29.8241 17.2189i 1.36128 0.785934i
\(481\) −8.13955 1.23994i −0.371131 0.0565362i
\(482\) 57.5929i 2.62328i
\(483\) 2.54134 + 0.721071i 0.115635 + 0.0328099i
\(484\) −33.4745 −1.52157
\(485\) −29.2144 16.8669i −1.32656 0.765888i
\(486\) −40.3535 10.8127i −1.83047 0.490473i
\(487\) 1.58982 5.93329i 0.0720416 0.268863i −0.920505 0.390732i \(-0.872222\pi\)
0.992546 + 0.121869i \(0.0388887\pi\)
\(488\) −64.4871 + 17.2793i −2.91919 + 0.782195i
\(489\) −0.289218 0.289218i −0.0130789 0.0130789i
\(490\) 1.39903 47.6660i 0.0632015 2.15333i
\(491\) 22.4430i 1.01284i 0.862287 + 0.506420i \(0.169032\pi\)
−0.862287 + 0.506420i \(0.830968\pi\)
\(492\) 3.93994 + 14.7040i 0.177626 + 0.662910i
\(493\) −3.20165 5.54542i −0.144195 0.249753i
\(494\) 20.2195 2.24599i 0.909720 0.101052i
\(495\) 11.4290 + 6.59854i 0.513696 + 0.296582i
\(496\) 67.8748 67.8748i 3.04767 3.04767i
\(497\) 19.5908 + 35.1121i 0.878769 + 1.57499i
\(498\) 11.0740i 0.496239i
\(499\) −36.0044 + 9.64734i −1.61178 + 0.431874i −0.948571 0.316563i \(-0.897471\pi\)
−0.663205 + 0.748438i \(0.730804\pi\)
\(500\) 46.4226 + 12.4389i 2.07608 + 0.556284i
\(501\) −4.60031 1.23265i −0.205527 0.0550708i
\(502\) 27.2142 7.29203i 1.21463 0.325459i
\(503\) 22.9063i 1.02134i 0.859776 + 0.510671i \(0.170603\pi\)
−0.859776 + 0.510671i \(0.829397\pi\)
\(504\) −0.827745 + 56.4161i −0.0368707 + 2.51297i
\(505\) −25.6376 + 25.6376i −1.14086 + 1.14086i
\(506\) 6.61334 + 3.81822i 0.293999 + 0.169740i
\(507\) 9.42251 + 2.93895i 0.418468 + 0.130523i
\(508\) −22.3772 38.7584i −0.992827 1.71963i
\(509\) 10.8217 + 40.3870i 0.479661 + 1.79012i 0.602984 + 0.797754i \(0.293978\pi\)
−0.123322 + 0.992367i \(0.539355\pi\)
\(510\) 7.25013i 0.321041i
\(511\) −16.7033 + 27.9750i −0.738910 + 1.23754i
\(512\) 3.23738 + 3.23738i 0.143073 + 0.143073i
\(513\) 8.32653 2.23109i 0.367625 0.0985049i
\(514\) 9.78637 36.5232i 0.431658 1.61097i
\(515\) −22.0089 5.89728i −0.969830 0.259865i
\(516\) −1.51525 0.874828i −0.0667050 0.0385122i
\(517\) −17.2677 −0.759434
\(518\) 3.98346 + 15.7895i 0.175023 + 0.693751i
\(519\) 1.97121i 0.0865264i
\(520\) 64.5941 47.5159i 2.83264 2.08371i
\(521\) 9.76857 5.63989i 0.427969 0.247088i −0.270512 0.962717i \(-0.587193\pi\)
0.698481 + 0.715629i \(0.253860\pi\)
\(522\) −7.72316 + 28.8232i −0.338033 + 1.26156i
\(523\) 27.4072 + 15.8235i 1.19843 + 0.691915i 0.960205 0.279295i \(-0.0901008\pi\)
0.238226 + 0.971210i \(0.423434\pi\)
\(524\) −48.4770 −2.11773
\(525\) −2.00054 + 1.94269i −0.0873108 + 0.0847858i
\(526\) 4.81969 + 4.81969i 0.210149 + 0.210149i
\(527\) 2.64071 + 9.85525i 0.115031 + 0.429301i
\(528\) 5.58318 20.8367i 0.242977 0.906802i
\(529\) −10.6353 18.4209i −0.462405 0.800909i
\(530\) 8.63794 14.9614i 0.375208 0.649880i
\(531\) −13.3787 13.3787i −0.580585 0.580585i
\(532\) −14.2076 25.4638i −0.615976 1.10399i
\(533\) 4.99647 + 12.7899i 0.216421 + 0.553992i
\(534\) −0.0530727 + 0.0919246i −0.00229668 + 0.00397796i
\(535\) −10.5212 2.81916i −0.454873 0.121883i
\(536\) 2.49761 + 4.32600i 0.107881 + 0.186855i
\(537\) 0.613030 1.06180i 0.0264542 0.0458200i
\(538\) 15.4266 15.4266i 0.665088 0.665088i
\(539\) −10.3466 10.9723i −0.445658 0.472610i
\(540\) 38.7448 38.7448i 1.66731 1.66731i
\(541\) 8.26367 + 30.8404i 0.355283 + 1.32593i 0.880128 + 0.474736i \(0.157457\pi\)
−0.524845 + 0.851198i \(0.675877\pi\)
\(542\) −65.4103 + 37.7647i −2.80961 + 1.62213i
\(543\) −1.64166 + 0.947811i −0.0704502 + 0.0406744i
\(544\) −24.2981 + 6.51066i −1.04177 + 0.279142i
\(545\) −18.6432 −0.798585
\(546\) −1.87032 19.4317i −0.0800425 0.831598i
\(547\) −10.5664 −0.451787 −0.225893 0.974152i \(-0.572530\pi\)
−0.225893 + 0.974152i \(0.572530\pi\)
\(548\) 46.2737 12.3990i 1.97672 0.529659i
\(549\) −15.9243 + 9.19390i −0.679633 + 0.392386i
\(550\) −6.98118 + 4.03058i −0.297678 + 0.171865i
\(551\) −2.47508 9.23713i −0.105442 0.393515i
\(552\) 6.21244 6.21244i 0.264419 0.264419i
\(553\) 27.3214 26.5312i 1.16182 1.12822i
\(554\) −17.5900 + 17.5900i −0.747328 + 0.747328i
\(555\) 2.19105 3.79501i 0.0930050 0.161089i
\(556\) 1.95919 + 3.39341i 0.0830881 + 0.143913i
\(557\) −4.67823 1.25353i −0.198223 0.0531136i 0.158342 0.987384i \(-0.449385\pi\)
−0.356564 + 0.934271i \(0.616052\pi\)
\(558\) 23.7732 41.1765i 1.00640 1.74314i
\(559\) −1.44555 0.633394i −0.0611401 0.0267897i
\(560\) −75.7167 45.2090i −3.19962 1.91043i
\(561\) 1.62133 + 1.62133i 0.0684526 + 0.0684526i
\(562\) −16.7458 + 29.0045i −0.706378 + 1.22348i
\(563\) 5.27248 + 9.13221i 0.222209 + 0.384877i 0.955478 0.295061i \(-0.0953400\pi\)
−0.733270 + 0.679938i \(0.762007\pi\)
\(564\) −8.29181 + 30.9455i −0.349148 + 1.30304i
\(565\) 6.64497 + 24.7994i 0.279556 + 1.04332i
\(566\) −10.3705 10.3705i −0.435904 0.435904i
\(567\) 2.68214 + 10.6314i 0.112639 + 0.446476i
\(568\) 133.724 5.61094
\(569\) −9.51695 5.49461i −0.398971 0.230346i 0.287069 0.957910i \(-0.407319\pi\)
−0.686040 + 0.727564i \(0.740653\pi\)
\(570\) −2.80241 + 10.4587i −0.117380 + 0.438068i
\(571\) 13.0863 7.55535i 0.547643 0.316182i −0.200528 0.979688i \(-0.564266\pi\)
0.748171 + 0.663506i \(0.230932\pi\)
\(572\) 6.15885 40.4297i 0.257515 1.69045i
\(573\) 8.30046i 0.346757i
\(574\) 19.4831 18.9197i 0.813210 0.789692i
\(575\) −1.82556 −0.0761310
\(576\) 46.1631 + 26.6523i 1.92346 + 1.11051i
\(577\) 4.57325 + 1.22540i 0.190387 + 0.0510140i 0.352753 0.935717i \(-0.385246\pi\)
−0.162366 + 0.986731i \(0.551912\pi\)
\(578\) −10.4885 + 39.1435i −0.436263 + 1.62816i
\(579\) −4.57007 + 1.22455i −0.189926 + 0.0508905i
\(580\) −42.9819 42.9819i −1.78473 1.78473i
\(581\) −12.5029 + 6.97601i −0.518707 + 0.289414i
\(582\) 27.3129i 1.13216i
\(583\) −1.41409 5.27745i −0.0585656 0.218570i
\(584\) 54.1815 + 93.8451i 2.24205 + 3.88334i
\(585\) 13.7974 17.2456i 0.570451 0.713019i
\(586\) −27.7052 15.9956i −1.14449 0.660772i
\(587\) 7.44792 7.44792i 0.307409 0.307409i −0.536495 0.843904i \(-0.680252\pi\)
0.843904 + 0.536495i \(0.180252\pi\)
\(588\) −24.6317 + 13.2733i −1.01580 + 0.547380i
\(589\) 15.2375i 0.627850i
\(590\) 51.3711 13.7648i 2.11491 0.566689i
\(591\) −11.9197 3.19387i −0.490310 0.131378i
\(592\) 29.0883 + 7.79418i 1.19552 + 0.320339i
\(593\) −21.7719 + 5.83377i −0.894066 + 0.239564i −0.676466 0.736474i \(-0.736490\pi\)
−0.217600 + 0.976038i \(0.569823\pi\)
\(594\) 23.9118i 0.981115i
\(595\) 8.18559 4.56717i 0.335577 0.187236i
\(596\) 55.7089 55.7089i 2.28192 2.28192i
\(597\) −11.8698 6.85305i −0.485800 0.280477i
\(598\) 7.98378 9.97910i 0.326481 0.408076i
\(599\) −23.0340 39.8961i −0.941146 1.63011i −0.763291 0.646055i \(-0.776418\pi\)
−0.177855 0.984057i \(-0.556916\pi\)
\(600\) 2.40039 + 8.95836i 0.0979953 + 0.365723i
\(601\) 1.03260i 0.0421204i 0.999778 + 0.0210602i \(0.00670417\pi\)
−0.999778 + 0.0210602i \(0.993296\pi\)
\(602\) −0.0457932 + 3.12110i −0.00186639 + 0.127207i
\(603\) 0.972840 + 0.972840i 0.0396171 + 0.0396171i
\(604\) −64.3295 + 17.2370i −2.61753 + 0.701365i
\(605\) 4.15937 15.5230i 0.169102 0.631098i
\(606\) 28.3556 + 7.59787i 1.15187 + 0.308642i
\(607\) 23.6563 + 13.6580i 0.960180 + 0.554360i 0.896229 0.443593i \(-0.146296\pi\)
0.0639518 + 0.997953i \(0.479630\pi\)
\(608\) −37.5680 −1.52358
\(609\) −8.89760 + 2.24473i −0.360549 + 0.0909611i
\(610\) 51.6864i 2.09272i
\(611\) −4.35198 + 28.5685i −0.176062 + 1.15576i
\(612\) −15.4888 + 8.94248i −0.626099 + 0.361478i
\(613\) −7.20201 + 26.8783i −0.290887 + 1.08560i 0.653543 + 0.756889i \(0.273282\pi\)
−0.944430 + 0.328714i \(0.893385\pi\)
\(614\) −4.78994 2.76547i −0.193306 0.111605i
\(615\) −7.30819 −0.294695
\(616\) −48.6338 + 12.2696i −1.95951 + 0.494356i
\(617\) 11.4818 + 11.4818i 0.462241 + 0.462241i 0.899390 0.437148i \(-0.144011\pi\)
−0.437148 + 0.899390i \(0.644011\pi\)
\(618\) 4.77479 + 17.8198i 0.192070 + 0.716816i
\(619\) 9.73685 36.3384i 0.391357 1.46056i −0.436540 0.899685i \(-0.643796\pi\)
0.827897 0.560880i \(-0.189537\pi\)
\(620\) 48.4274 + 83.8787i 1.94489 + 3.36865i
\(621\) 2.70757 4.68966i 0.108651 0.188189i
\(622\) −6.28613 6.28613i −0.252051 0.252051i
\(623\) 0.137218 + 0.00201328i 0.00549753 + 8.06605e-5i
\(624\) −33.0661 14.4885i −1.32370 0.580005i
\(625\) −15.0069 + 25.9928i −0.600278 + 1.03971i
\(626\) 62.3474 + 16.7059i 2.49190 + 0.667703i
\(627\) 1.71216 + 2.96556i 0.0683772 + 0.118433i
\(628\) 27.6983 47.9749i 1.10528 1.91441i
\(629\) −2.26339 + 2.26339i −0.0902474 + 0.0902474i
\(630\) −42.0227 11.9234i −1.67422 0.475039i
\(631\) 1.20311 1.20311i 0.0478949 0.0478949i −0.682754 0.730649i \(-0.739218\pi\)
0.730649 + 0.682754i \(0.239218\pi\)
\(632\) −32.7820 122.344i −1.30400 4.86659i
\(633\) −1.83143 + 1.05738i −0.0727930 + 0.0420271i
\(634\) −70.7329 + 40.8377i −2.80916 + 1.62187i
\(635\) 20.7537 5.56094i 0.823586 0.220679i
\(636\) −10.1367 −0.401948
\(637\) −20.7607 + 14.3525i −0.822568 + 0.568666i
\(638\) −26.5269 −1.05021
\(639\) 35.5758 9.53251i 1.40736 0.377100i
\(640\) −51.1981 + 29.5593i −2.02378 + 1.16843i
\(641\) 1.30393 0.752823i 0.0515020 0.0297347i −0.474028 0.880510i \(-0.657200\pi\)
0.525530 + 0.850775i \(0.323867\pi\)
\(642\) 2.28256 + 8.51862i 0.0900854 + 0.336203i
\(643\) 27.5811 27.5811i 1.08769 1.08769i 0.0919256 0.995766i \(-0.470698\pi\)
0.995766 0.0919256i \(-0.0293022\pi\)
\(644\) −17.6219 4.99997i −0.694399 0.197026i
\(645\) 0.593956 0.593956i 0.0233870 0.0233870i
\(646\) 3.95455 6.84948i 0.155590 0.269489i
\(647\) −3.94074 6.82555i −0.154926 0.268340i 0.778106 0.628133i \(-0.216181\pi\)
−0.933032 + 0.359793i \(0.882847\pi\)
\(648\) 35.2236 + 9.43813i 1.38371 + 0.370765i
\(649\) 8.40979 14.5662i 0.330113 0.571773i
\(650\) 4.90891 + 12.5658i 0.192543 + 0.492871i
\(651\) 14.6199 + 0.214505i 0.573000 + 0.00840713i
\(652\) 2.00546 + 2.00546i 0.0785401 + 0.0785401i
\(653\) −3.18315 + 5.51337i −0.124566 + 0.215755i −0.921563 0.388228i \(-0.873087\pi\)
0.796997 + 0.603983i \(0.206421\pi\)
\(654\) 7.54731 + 13.0723i 0.295123 + 0.511168i
\(655\) 6.02350 22.4800i 0.235358 0.878367i
\(656\) −12.9986 48.5116i −0.507511 1.89406i
\(657\) 21.1041 + 21.1041i 0.823350 + 0.823350i
\(658\) 55.4186 13.9813i 2.16044 0.545048i
\(659\) −25.8902 −1.00854 −0.504270 0.863546i \(-0.668238\pi\)
−0.504270 + 0.863546i \(0.668238\pi\)
\(660\) 18.8501 + 10.8831i 0.733739 + 0.423625i
\(661\) −9.94751 + 37.1246i −0.386913 + 1.44398i 0.448216 + 0.893925i \(0.352060\pi\)
−0.835129 + 0.550054i \(0.814607\pi\)
\(662\) −22.3277 + 12.8909i −0.867790 + 0.501019i
\(663\) 3.09102 2.27378i 0.120045 0.0883061i
\(664\) 47.6172i 1.84791i
\(665\) 13.5735 3.42440i 0.526360 0.132793i
\(666\) 14.9166 0.578006
\(667\) −5.20252 3.00368i −0.201442 0.116303i
\(668\) 31.8990 + 8.54731i 1.23421 + 0.330705i
\(669\) 3.37171 12.5834i 0.130358 0.486502i
\(670\) −3.73548 + 1.00092i −0.144314 + 0.0386689i
\(671\) −11.5585 11.5585i −0.446212 0.446212i
\(672\) −0.528863 + 36.0454i −0.0204013 + 1.39048i
\(673\) 5.66768i 0.218473i −0.994016 0.109236i \(-0.965159\pi\)
0.994016 0.109236i \(-0.0348406\pi\)
\(674\) 16.7932 + 62.6730i 0.646849 + 2.41407i
\(675\) 2.85817 + 4.95049i 0.110011 + 0.190545i
\(676\) −65.3365 20.3790i −2.51294 0.783806i
\(677\) 2.32654 + 1.34323i 0.0894161 + 0.0516244i 0.544041 0.839058i \(-0.316893\pi\)
−0.454625 + 0.890683i \(0.650227\pi\)
\(678\) 14.6989 14.6989i 0.564507 0.564507i
\(679\) 30.8371 17.2056i 1.18342 0.660290i
\(680\) 31.1748i 1.19550i
\(681\) 12.5772 3.37005i 0.481959 0.129140i
\(682\) 40.8272 + 10.9396i 1.56335 + 0.418899i
\(683\) −12.5998 3.37609i −0.482116 0.129183i 0.00957166 0.999954i \(-0.496953\pi\)
−0.491688 + 0.870772i \(0.663620\pi\)
\(684\) −25.8001 + 6.91311i −0.986491 + 0.264329i
\(685\) 22.9989i 0.878743i
\(686\) 42.0901 + 26.8368i 1.60701 + 1.02463i
\(687\) 11.6967 11.6967i 0.446255 0.446255i
\(688\) 4.99910 + 2.88623i 0.190589 + 0.110037i
\(689\) −9.08764 + 1.00946i −0.346212 + 0.0384573i
\(690\) 3.40091 + 5.89055i 0.129470 + 0.224249i
\(691\) 0.672287 + 2.50901i 0.0255750 + 0.0954472i 0.977534 0.210779i \(-0.0676002\pi\)
−0.951959 + 0.306227i \(0.900933\pi\)
\(692\) 13.6685i 0.519599i
\(693\) −12.0638 + 6.73103i −0.458267 + 0.255691i
\(694\) −7.58493 7.58493i −0.287920 0.287920i
\(695\) −1.81705 + 0.486877i −0.0689246 + 0.0184683i
\(696\) −7.89894 + 29.4792i −0.299409 + 1.11741i
\(697\) 5.15639 + 1.38165i 0.195312 + 0.0523338i
\(698\) −16.7032 9.64360i −0.632226 0.365016i
\(699\) 22.9024 0.866247
\(700\) 13.8719 13.4708i 0.524310 0.509147i
\(701\) 42.5214i 1.60601i −0.595972 0.803005i \(-0.703233\pi\)
0.595972 0.803005i \(-0.296767\pi\)
\(702\) −39.5608 6.02648i −1.49313 0.227455i
\(703\) −4.13995 + 2.39020i −0.156141 + 0.0901481i
\(704\) −12.2644 + 45.7715i −0.462234 + 1.72508i
\(705\) −13.3199 7.69024i −0.501656 0.289631i
\(706\) 26.3896 0.993184
\(707\) −9.28422 36.8005i −0.349169 1.38403i
\(708\) −22.0657 22.0657i −0.829281 0.829281i
\(709\) −12.3574 46.1184i −0.464091 1.73201i −0.659884 0.751367i \(-0.729395\pi\)
0.195793 0.980645i \(-0.437272\pi\)
\(710\) −26.7950 + 100.000i −1.00560 + 3.75295i
\(711\) −17.4426 30.2114i −0.654147 1.13302i
\(712\) 0.228207 0.395266i 0.00855242 0.0148132i
\(713\) 6.76843 + 6.76843i 0.253480 + 0.253480i
\(714\) −6.51621 3.89070i −0.243863 0.145606i
\(715\) 17.9830 + 7.87960i 0.672526 + 0.294680i
\(716\) −4.25081 + 7.36261i −0.158860 + 0.275154i
\(717\) −10.5499 2.82683i −0.393992 0.105570i
\(718\) −50.1490 86.8606i −1.87154 3.24161i
\(719\) 9.27940 16.0724i 0.346063 0.599399i −0.639483 0.768805i \(-0.720852\pi\)
0.985546 + 0.169406i \(0.0541850\pi\)
\(720\) −57.1201 + 57.1201i −2.12874 + 2.12874i
\(721\) 17.1111 16.6163i 0.637252 0.618823i
\(722\) −27.8593 + 27.8593i −1.03682 + 1.03682i
\(723\) 4.19894 + 15.6707i 0.156160 + 0.582799i
\(724\) 11.3834 6.57220i 0.423060 0.244254i
\(725\) 5.49189 3.17074i 0.203964 0.117758i
\(726\) −12.5683 + 3.36767i −0.466454 + 0.124986i
\(727\) −32.8685 −1.21903 −0.609513 0.792776i \(-0.708635\pi\)
−0.609513 + 0.792776i \(0.708635\pi\)
\(728\) 8.04220 + 83.5542i 0.298064 + 3.09672i
\(729\) 0.664320 0.0246045
\(730\) −81.0350 + 21.7133i −2.99924 + 0.803644i
\(731\) −0.531364 + 0.306783i −0.0196532 + 0.0113468i
\(732\) −26.2643 + 15.1637i −0.970756 + 0.560466i
\(733\) 9.70471 + 36.2185i 0.358452 + 1.33776i 0.876085 + 0.482157i \(0.160147\pi\)
−0.517633 + 0.855603i \(0.673187\pi\)
\(734\) −54.3210 + 54.3210i −2.00503 + 2.00503i
\(735\) −3.09453 13.0716i −0.114144 0.482154i
\(736\) −16.6876 + 16.6876i −0.615112 + 0.615112i
\(737\) −0.611524 + 1.05919i −0.0225258 + 0.0390158i
\(738\) −12.4385 21.5440i −0.457866 0.793047i
\(739\) 5.14567 + 1.37878i 0.189286 + 0.0507191i 0.352217 0.935918i \(-0.385428\pi\)
−0.162930 + 0.986638i \(0.552095\pi\)
\(740\) −15.1929 + 26.3149i −0.558504 + 0.967357i
\(741\) 5.33786 2.08527i 0.196091 0.0766044i
\(742\) 8.81138 + 15.7924i 0.323476 + 0.579756i
\(743\) −12.3984 12.3984i −0.454854 0.454854i 0.442108 0.896962i \(-0.354231\pi\)
−0.896962 + 0.442108i \(0.854231\pi\)
\(744\) 24.3143 42.1137i 0.891407 1.54396i
\(745\) 18.9115 + 32.7557i 0.692864 + 1.20007i
\(746\) −3.29286 + 12.2891i −0.120560 + 0.449936i
\(747\) 3.39438 + 12.6680i 0.124194 + 0.463498i
\(748\) −11.2424 11.2424i −0.411064 0.411064i
\(749\) 8.17988 7.94332i 0.298886 0.290243i
\(750\) 18.6812 0.682141
\(751\) 27.4170 + 15.8292i 1.00046 + 0.577615i 0.908384 0.418137i \(-0.137317\pi\)
0.0920748 + 0.995752i \(0.470650\pi\)
\(752\) 27.3563 102.095i 0.997582 3.72303i
\(753\) 6.87318 3.96823i 0.250472 0.144610i
\(754\) −6.68555 + 43.8872i −0.243473 + 1.59828i
\(755\) 31.9730i 1.16361i
\(756\) 14.0307 + 55.6146i 0.510293 + 2.02268i
\(757\) −20.0484 −0.728670 −0.364335 0.931268i \(-0.618704\pi\)
−0.364335 + 0.931268i \(0.618704\pi\)
\(758\) −15.8216 9.13460i −0.574666 0.331784i
\(759\) 2.07783 + 0.556752i 0.0754203 + 0.0202088i
\(760\) 12.0501 44.9715i 0.437102 1.63129i
\(761\) 44.3428 11.8816i 1.60743 0.430708i 0.660151 0.751133i \(-0.270492\pi\)
0.947274 + 0.320424i \(0.103825\pi\)
\(762\) −12.3010 12.3010i −0.445617 0.445617i
\(763\) 10.0046 16.7559i 0.362192 0.606606i
\(764\) 57.5561i 2.08231i
\(765\) −2.22229 8.29370i −0.0803471 0.299859i
\(766\) −7.16275 12.4063i −0.258801 0.448256i
\(767\) −21.9794 17.5846i −0.793631 0.634945i
\(768\) 12.5291 + 7.23368i 0.452105 + 0.261023i
\(769\) 4.10750 4.10750i 0.148120 0.148120i −0.629158 0.777278i \(-0.716600\pi\)
0.777278 + 0.629158i \(0.216600\pi\)
\(770\) 0.569681 38.8274i 0.0205299 1.39924i
\(771\) 10.6512i 0.383595i
\(772\) 31.6893 8.49112i 1.14052 0.305602i
\(773\) −40.5845 10.8746i −1.45972 0.391132i −0.560329 0.828270i \(-0.689325\pi\)
−0.899394 + 0.437138i \(0.855992\pi\)