Properties

Label 91.2.bb.a.31.1
Level $91$
Weight $2$
Character 91.31
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 31.1
Character \(\chi\) \(=\) 91.31
Dual form 91.2.bb.a.47.1

$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.60347 0.697597i −1.84093 0.493276i −0.841998 0.539481i \(-0.818621\pi\)
−0.998932 + 0.0462053i \(0.985287\pi\)
\(3\) −0.657528 0.379624i −0.379624 0.219176i 0.298031 0.954556i \(-0.403670\pi\)
−0.677655 + 0.735380i \(0.737004\pi\)
\(4\) 4.55935 + 2.63234i 2.27968 + 1.31617i
\(5\) 0.654162 2.44137i 0.292550 1.09181i −0.650593 0.759426i \(-0.725480\pi\)
0.943143 0.332386i \(-0.107854\pi\)
\(6\) 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 −0.558516 0.829493i \(-0.688629\pi\)
−0.0689427 + 0.997621i \(0.521963\pi\)
\(12\) −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 −0.768429 0.639935i \(-0.778961\pi\)
0.938414 + 0.345512i \(0.112295\pi\)
\(18\) 1.69066 + 6.30962i 0.398492 + 1.48719i
\(19\) 0.541814 2.02208i 0.124301 0.463896i −0.875513 0.483194i \(-0.839476\pi\)
0.999814 + 0.0192980i \(0.00614311\pi\)
\(20\) 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 −0.376543 0.926399i \(-0.622887\pi\)
0.614014 + 0.789295i \(0.289554\pi\)
\(24\) 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 0.435509 0.900184i \(-0.356568\pi\)
0.827254 + 0.561828i \(0.189902\pi\)
\(32\) −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 −0.900175 0.435529i \(-0.856561\pi\)
0.997339 + 0.0729080i \(0.0232280\pi\)
\(38\) −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 0.885397 0.464835i \(-0.153886\pi\)
−0.464835 + 0.885397i \(0.653886\pi\)
\(42\) −4.72812 2.63806i −0.729564 0.407062i
\(43\) 0.437721i 0.0667518i −0.999443 0.0333759i \(-0.989374\pi\)
0.999443 0.0333759i \(-0.0106258\pi\)
\(44\) −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 0.774623 0.632423i \(-0.217940\pi\)
0.354632 + 0.935006i \(0.384606\pi\)
\(48\) 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 −0.765703 0.643194i \(-0.777609\pi\)
0.939874 + 0.341522i \(0.110942\pi\)
\(54\) 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 −0.963430 0.267961i \(-0.913650\pi\)
0.700374 0.713776i \(-0.253016\pi\)
\(60\) −9.75863 + 2.61482i −1.25983 + 0.337571i
\(61\) 6.57067 3.79358i 0.841288 0.485718i −0.0164139 0.999865i \(-0.505225\pi\)
0.857702 + 0.514147i \(0.171892\pi\)
\(62\) −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 0.974320 0.225168i \(-0.0722932\pi\)
−0.956370 + 0.292159i \(0.905627\pi\)
\(68\) 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 −0.332048 + 0.943263i \(0.607739\pi\)
−0.943263 + 0.332048i \(0.892261\pi\)
\(72\) −5.51947 + 20.5989i −0.650475 + 2.42761i
\(73\) 3.18733 + 11.8953i 0.373049 + 1.39224i 0.856174 + 0.516687i \(0.172835\pi\)
−0.483125 + 0.875551i \(0.660498\pi\)
\(74\) −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 −0.913044 0.407862i \(-0.866275\pi\)
0.103303 0.994650i \(-0.467059\pi\)
\(80\) 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 0.885207 0.465197i \(-0.154016\pi\)
−0.465197 + 0.885207i \(0.654016\pi\)
\(84\) 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 0.256163 0.966634i \(-0.417542\pi\)
−0.261473 + 0.965211i \(0.584208\pi\)
\(90\) 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 0.0409188 0.999162i \(-0.486972\pi\)
−0.999162 + 0.0409188i \(0.986972\pi\)
\(98\) −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 −0.249765 0.968306i \(-0.580353\pi\)
0.963461 0.267850i \(-0.0863133\pi\)
\(102\) 2.77077 0.742425i 0.274347 0.0735110i
\(103\) −4.50750 7.80723i −0.444138 0.769269i 0.553854 0.832614i \(-0.313157\pi\)
−0.997992 + 0.0633449i \(0.979823\pi\)
\(104\) −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 0.742872 0.669434i \(-0.233463\pi\)
−0.951183 + 0.308629i \(0.900130\pi\)
\(108\) −10.8395 + 18.7746i −1.04303 + 1.80658i
\(109\) −1.90909 7.12483i −0.182858 0.682434i −0.995079 0.0990849i \(-0.968408\pi\)
0.812221 0.583350i \(-0.198258\pi\)
\(110\) 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 \(0.123101\pi\)
−0.926146 + 0.377165i \(0.876899\pi\)
\(128\) 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 −0.806125 0.591746i \(-0.798439\pi\)
0.109404 + 0.993997i \(0.465106\pi\)
\(132\) 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 0.137002 0.990571i \(-0.456253\pi\)
0.613932 + 0.789359i \(0.289587\pi\)
\(138\) 2.59944 + 0.696517i 0.221279 + 0.0592915i
\(139\) 0.744275i 0.0631286i −0.999502 0.0315643i \(-0.989951\pi\)
0.999502 0.0315643i \(-0.0100489\pi\)
\(140\) −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 0.796583 0.604530i \(-0.206639\pi\)
0.387596 + 0.921829i \(0.373306\pi\)
\(150\) −0.735257 2.74402i −0.0600335 0.224048i
\(151\) −12.2190 + 3.27408i −0.994372 + 0.266441i −0.719086 0.694921i \(-0.755439\pi\)
−0.275286 + 0.961362i \(0.588773\pi\)
\(152\) −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 0.817420 0.576042i \(-0.195404\pi\)
−0.0901569 + 0.995928i \(0.528737\pi\)
\(158\) 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 −0.960250 0.279140i \(-0.909951\pi\)
0.971171 + 0.238383i \(0.0766172\pi\)
\(164\) 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 −0.514349 0.857581i \(-0.671966\pi\)
0.857581 + 0.514349i \(0.171966\pi\)
\(168\) −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 0.911145 0.412086i \(-0.135200\pi\)
−0.812450 + 0.583031i \(0.801866\pi\)
\(174\) −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 0.446825 0.894622i \(-0.352555\pi\)
−0.551353 + 0.834272i \(0.685888\pi\)
\(180\) −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 0.993168 0.116695i \(-0.0372299\pi\)
−0.597645 + 0.801761i \(0.703897\pi\)
\(192\) 8.34963 14.4620i 0.602582 1.04370i
\(193\) 6.01922 1.61284i 0.433273 0.116095i −0.0355893 0.999367i \(-0.511331\pi\)
0.468862 + 0.883271i \(0.344664\pi\)
\(194\) 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 −0.167116 0.985937i \(-0.553446\pi\)
0.985937 + 0.167116i \(0.0534455\pi\)
\(198\) −7.03667 12.1879i −0.500075 0.866154i
\(199\) 9.02611 15.6337i 0.639844 1.10824i −0.345623 0.938373i \(-0.612332\pi\)
0.985467 0.169868i \(-0.0543342\pi\)
\(200\) 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 0.172540 0.985003i \(-0.444803\pi\)
−0.985003 + 0.172540i \(0.944803\pi\)
\(224\) 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 −0.762553 0.646926i \(-0.776054\pi\)
−0.336927 + 0.941531i \(0.609388\pi\)
\(228\) −8.08265 + 2.16574i −0.535286 + 0.143430i
\(229\) −21.0444 5.63884i −1.39065 0.372625i −0.515675 0.856784i \(-0.672459\pi\)
−0.874980 + 0.484160i \(0.839125\pi\)
\(230\) 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 −0.778705 + 0.627390i \(0.784123\pi\)
−0.932688 + 0.360683i \(0.882544\pi\)
\(234\) 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 −0.296930 0.954899i \(-0.595963\pi\)
0.954899 + 0.296930i \(0.0959628\pi\)
\(240\) −24.4445 6.54987i −1.57788 0.422793i
\(241\) 5.53040 + 20.6397i 0.356245 + 1.32952i 0.878911 + 0.476986i \(0.158271\pi\)
−0.522667 + 0.852537i \(0.675063\pi\)
\(242\) 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 0.559957 0.828522i \(-0.310818\pi\)
−0.997499 + 0.0706758i \(0.977484\pi\)
\(258\) 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 −0.902373 0.430955i \(-0.858177\pi\)
0.824405 + 0.566000i \(0.191510\pi\)
\(264\) −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 0.270840 0.962624i \(-0.412699\pi\)
−0.698237 + 0.715867i \(0.746032\pi\)
\(270\) −24.2938 14.0260i −1.47847 0.853596i
\(271\) 27.0677 + 7.25276i 1.64424 + 0.440574i 0.957993 0.286791i \(-0.0925884\pi\)
0.686251 + 0.727365i \(0.259255\pi\)
\(272\) 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 0.720519 0.693435i \(-0.243904\pi\)
−0.240273 + 0.970705i \(0.577237\pi\)
\(278\) −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 0.918823 0.394670i \(-0.129141\pi\)
−0.394670 + 0.918823i \(0.629141\pi\)
\(282\) 8.20085 + 14.2043i 0.488354 + 0.845853i
\(283\) 2.72067 4.71234i 0.161727 0.280119i −0.773761 0.633477i \(-0.781627\pi\)
0.935488 + 0.353358i \(0.114960\pi\)
\(284\) −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 −0.418092 0.908405i \(-0.637301\pi\)
0.908405 + 0.418092i \(0.137301\pi\)
\(294\) 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 −0.664486 0.747301i \(-0.731350\pi\)
0.747301 + 0.664486i \(0.231350\pi\)
\(308\) 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 −0.815473 0.578795i \(-0.803523\pi\)
0.908988 + 0.416823i \(0.136856\pi\)
\(312\) 18.8093 15.0484i 1.06487 0.851946i
\(313\) −20.7394 + 11.9739i −1.17226 + 0.676805i −0.954212 0.299133i \(-0.903303\pi\)
−0.218049 + 0.975938i \(0.569969\pi\)
\(314\) −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 0.957918 0.287041i \(-0.0926715\pi\)
0.686061 + 0.727544i \(0.259338\pi\)
\(318\) 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 0.503640 0.863914i \(-0.331994\pi\)
0.00420839 + 0.999991i \(0.498660\pi\)
\(332\) 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 \(0.227612\pi\)
−0.755050 + 0.655667i \(0.772388\pi\)
\(338\) 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 −0.807659 0.589650i \(-0.799266\pi\)
0.914481 + 0.404628i \(0.132599\pi\)
\(348\) 9.12988 + 15.8134i 0.489413 + 0.847688i
\(349\) 5.05995 5.05995i 0.270853 0.270853i −0.558591 0.829443i \(-0.688658\pi\)
0.829443 + 0.558591i \(0.188658\pi\)
\(350\) −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 −0.501560 0.865123i \(-0.667240\pi\)
−0.00180195 + 0.999998i \(0.500574\pi\)
\(354\) 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 0.0716576 0.997429i \(-0.477171\pi\)
0.436657 0.899628i \(-0.356162\pi\)
\(360\) 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 0.978380 0.206814i \(-0.0663097\pi\)
0.310083 + 0.950709i \(0.399643\pi\)
\(368\) 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 0.920636 0.390421i \(-0.127671\pi\)
−0.798433 + 0.602084i \(0.794337\pi\)
\(374\) 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 −0.573213 0.819406i \(-0.694303\pi\)
0.819406 + 0.573213i \(0.194303\pi\)
\(380\) −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 −0.921833 0.387586i \(-0.873309\pi\)
0.992124 + 0.125257i \(0.0399756\pi\)
\(384\) −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 0.999306 + 0.0372510i \(0.0118601\pi\)
0.531913 + 0.846799i \(0.321473\pi\)
\(390\) −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 −0.778286 0.627910i \(-0.783910\pi\)
−0.987970 + 0.154643i \(0.950577\pi\)
\(398\) −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 0.803392 + 0.595451i \(0.203026\pi\)
−0.993483 + 0.113979i \(0.963640\pi\)
\(402\) −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 −0.205947 0.978563i \(-0.566028\pi\)
0.310926 + 0.950434i \(0.399361\pi\)
\(410\) −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 \(0.279620\pi\)
−0.638342 + 0.769753i \(0.720380\pi\)
\(420\) 22.9500 13.7030i 1.11985 0.668639i
\(421\) −10.0626 + 10.0626i −0.490422 + 0.490422i −0.908439 0.418017i \(-0.862725\pi\)
0.418017 + 0.908439i \(0.362725\pi\)
\(422\) −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 0.997916 + 0.0645192i \(0.0205514\pi\)
−0.831961 + 0.554834i \(0.812782\pi\)
\(432\) −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 0.962445 0.271478i \(-0.0875125\pi\)
−0.716329 + 0.697762i \(0.754179\pi\)
\(440\) 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 0.858628 0.512598i \(-0.171317\pi\)
−0.873237 + 0.487295i \(0.837984\pi\)
\(444\) −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 0.881349 0.472466i \(-0.156636\pi\)
−0.472466 + 0.881349i \(0.656636\pi\)
\(450\) 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 0.651103 0.758989i \(-0.274306\pi\)
0.184378 + 0.982855i \(0.440973\pi\)
\(458\) 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 0.817803 0.575498i \(-0.195192\pi\)
−0.575498 + 0.817803i \(0.695192\pi\)
\(462\) 11.3105 + 2.85346i 0.526210 + 0.132755i
\(463\) −13.9818 13.9818i −0.649788 0.649788i 0.303154 0.952942i \(-0.401960\pi\)
−0.952942 + 0.303154i \(0.901960\pi\)
\(464\) −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 0.728646 0.684891i \(-0.240150\pi\)
−0.957456 + 0.288580i \(0.906817\pi\)
\(468\) −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 0.998563 + 0.0535818i \(0.0170638\pi\)
−0.837990 + 0.545685i \(0.816270\pi\)
\(480\) 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 0.992546 0.121869i \(-0.0388887\pi\)
−0.920505 + 0.390732i \(0.872222\pi\)
\(488\) −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 \(-0.830968\pi\)
0.862287 0.506420i \(-0.169032\pi\)
\(492\) 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 −0.663205 0.748438i \(-0.730804\pi\)
−0.948571 + 0.316563i \(0.897471\pi\)
\(500\) 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 \(-0.829397\pi\)
0.859776 0.510671i \(-0.170603\pi\)
\(504\) −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 −0.123322 0.992367i \(-0.539355\pi\)
0.602984 0.797754i \(-0.293978\pi\)
\(510\) 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 0.698481 0.715629i \(-0.253860\pi\)
−0.270512 + 0.962717i \(0.587193\pi\)
\(522\) −7.72316 28.8232i −0.338033 1.26156i
\(523\) 27.4072 15.8235i 1.19843 0.691915i 0.238226 0.971210i \(-0.423434\pi\)
0.960205 + 0.279295i \(0.0901008\pi\)
\(524\) −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 −0.524845 0.851198i \(-0.675877\pi\)
0.880128 0.474736i \(-0.157457\pi\)
\(542\) −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 −0.356564 0.934271i \(-0.616052\pi\)
0.158342 + 0.987384i \(0.449385\pi\)
\(558\) 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 −0.733270 0.679938i \(-0.762007\pi\)
0.955478 + 0.295061i \(0.0953400\pi\)
\(564\) −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 −0.686040 0.727564i \(-0.740653\pi\)
0.287069 + 0.957910i \(0.407319\pi\)
\(570\) −2.80241 10.4587i −0.117380 0.438068i
\(571\) 13.0863 + 7.55535i 0.547643 + 0.316182i 0.748171 0.663506i \(-0.230932\pi\)
−0.200528 + 0.979688i \(0.564266\pi\)
\(572\) 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 −0.162366 0.986731i \(-0.551912\pi\)
0.352753 + 0.935717i \(0.385246\pi\)
\(578\) −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 0.843904 0.536495i \(-0.180252\pi\)
−0.536495 + 0.843904i \(0.680252\pi\)
\(588\) −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 −0.217600 0.976038i \(-0.569823\pi\)
−0.676466 + 0.736474i \(0.736490\pi\)
\(594\) 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 −0.177855 + 0.984057i \(0.556916\pi\)
−0.763291 + 0.646055i \(0.776418\pi\)
\(600\) 2.40039 8.95836i 0.0979953 0.365723i
\(601\) 1.03260i 0.0421204i −0.999778 0.0210602i \(-0.993296\pi\)
0.999778 0.0210602i \(-0.00670417\pi\)
\(602\) −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 0.0639518 0.997953i \(-0.479630\pi\)
0.896229 + 0.443593i \(0.146296\pi\)
\(608\) −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 −0.944430 0.328714i \(-0.893385\pi\)
0.653543 0.756889i \(-0.273282\pi\)
\(614\) −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 −0.437148 0.899390i \(-0.644011\pi\)
0.899390 + 0.437148i \(0.144011\pi\)
\(618\) 4.77479 17.8198i 0.192070 0.716816i
\(619\) 9.73685 + 36.3384i 0.391357 + 1.46056i 0.827897 + 0.560880i \(0.189537\pi\)
−0.436540 + 0.899685i \(0.643796\pi\)
\(620\) 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 0.730649 0.682754i \(-0.239218\pi\)
−0.682754 + 0.730649i \(0.739218\pi\)
\(632\) −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 0.525530 0.850775i \(-0.323867\pi\)
−0.474028 + 0.880510i \(0.657200\pi\)
\(642\) 2.28256 8.51862i 0.0900854 0.336203i
\(643\) 27.5811 + 27.5811i 1.08769 + 1.08769i 0.995766 + 0.0919256i \(0.0293022\pi\)
0.0919256 + 0.995766i \(0.470698\pi\)
\(644\) −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 −0.933032 0.359793i \(-0.882847\pi\)
0.778106 + 0.628133i \(0.216181\pi\)
\(648\) 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 0.796997 0.603983i \(-0.206421\pi\)
−0.921563 + 0.388228i \(0.873087\pi\)
\(654\) 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 −0.835129 0.550054i \(-0.814607\pi\)
0.448216 0.893925i \(-0.352060\pi\)
\(662\) −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 \(0.0348406\pi\)
−0.994016 + 0.109236i \(0.965159\pi\)
\(674\) 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 −0.454625 0.890683i \(-0.650227\pi\)
0.544041 + 0.839058i \(0.316893\pi\)
\(678\) 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 −0.491688 0.870772i \(-0.663620\pi\)
0.00957166 + 0.999954i \(0.496953\pi\)
\(684\) −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 −0.951959 0.306227i \(-0.900933\pi\)
0.977534 + 0.210779i \(0.0676002\pi\)
\(692\) 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 \(0.296767\pi\)
−0.595972 + 0.803005i \(0.703233\pi\)
\(702\) −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 0.195793 + 0.980645i \(0.437272\pi\)
−0.659884 + 0.751367i \(0.729395\pi\)
\(710\) −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 0.985546 0.169406i \(-0.0541850\pi\)
−0.639483 + 0.768805i \(0.720852\pi\)
\(720\) −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 −0.517633 0.855603i \(-0.673187\pi\)
0.876085 0.482157i \(-0.160147\pi\)
\(734\) −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 −0.162930 0.986638i \(-0.552095\pi\)
0.352217 + 0.935918i \(0.385428\pi\)
\(740\) −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 −0.896962 0.442108i \(-0.854231\pi\)
0.442108 + 0.896962i \(0.354231\pi\)
\(744\) 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 0.0920748 0.995752i \(-0.470650\pi\)
0.908384 + 0.418137i \(0.137317\pi\)
\(752\) 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 0.947274 0.320424i \(-0.103825\pi\)
0.660151 + 0.751133i \(0.270492\pi\)
\(762\) −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 0.777278 0.629158i \(-0.216600\pi\)
−0.629158 + 0.777278i \(0.716600\pi\)
\(770\) 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 −0.899394 0.437138i \(-0.855992\pi\)
−0.560329 + 0.828270i \(0.689325\pi\)