Properties

Label 91.2.bb.a.5.8
Level $91$
Weight $2$
Character 91.5
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 5.8
Character \(\chi\) \(=\) 91.5
Dual form 91.2.bb.a.73.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.697597 + 2.60347i) q^{2} +(-0.657528 + 0.379624i) q^{3} +(-4.55935 + 2.63234i) q^{4} +(2.44137 - 0.654162i) q^{5} +(-1.44703 - 1.44703i) q^{6} +(0.722189 - 2.54528i) q^{7} +(-6.22207 - 6.22207i) q^{8} +(-1.21177 + 2.09885i) q^{9} +O(q^{10})\) \(q+(0.697597 + 2.60347i) q^{2} +(-0.657528 + 0.379624i) q^{3} +(-4.55935 + 2.63234i) q^{4} +(2.44137 - 0.654162i) q^{5} +(-1.44703 - 1.44703i) q^{6} +(0.722189 - 2.54528i) q^{7} +(-6.22207 - 6.22207i) q^{8} +(-1.21177 + 2.09885i) q^{9} +(3.40618 + 5.89968i) q^{10} +(0.557615 - 2.08105i) 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} +(-6.30962 - 1.69066i) q^{18} +(2.02208 - 0.541814i) q^{19} +(-9.40907 + 9.40907i) q^{20} +(0.491389 + 1.94775i) q^{21} +5.80693 q^{22} +(-1.13887 - 0.657528i) q^{23} +(6.45323 + 1.72914i) q^{24} +(1.20221 - 0.694099i) q^{25} +(-7.58836 + 6.07106i) q^{26} -4.11781i q^{27} +(3.40733 + 13.5059i) q^{28} -4.56814 q^{29} +(-4.47931 - 2.58613i) q^{30} +(1.88389 - 7.03077i) q^{31} +(17.3344 + 4.64473i) q^{32} +(0.423368 + 1.58003i) q^{33} +(2.67152 - 2.67152i) q^{34} +(0.0981036 - 6.68639i) q^{35} -12.7592i q^{36} +(-2.20574 + 0.591026i) q^{37} +(2.82119 + 4.88645i) q^{38} +(-2.20514 - 1.62212i) q^{39} +(-19.2606 - 11.1201i) q^{40} +(-2.69291 - 2.69291i) q^{41} +(-4.72812 + 2.63806i) q^{42} -0.437721i q^{43} +(2.93567 + 10.9561i) q^{44} +(-1.58539 + 5.91676i) q^{45} +(0.917379 - 3.42370i) q^{46} +(2.07440 + 7.74178i) q^{47} +10.0126i q^{48} +(-5.95689 - 3.67635i) q^{49} +(2.64573 + 2.64573i) q^{50} +(0.921677 + 0.532130i) q^{51} +(-15.2907 - 11.2479i) q^{52} +(1.26798 + 2.19621i) q^{53} +(10.7206 - 2.87257i) q^{54} -5.44537i q^{55} +(-20.3304 + 11.3434i) q^{56} +(-1.12389 + 1.12389i) q^{57} +(-3.18672 - 11.8930i) q^{58} +(-7.54086 - 2.02057i) q^{59} +(2.61482 - 9.75863i) q^{60} +(6.57067 + 3.79358i) q^{61} +19.6186 q^{62} +(4.46703 + 4.60006i) q^{63} +21.9945i q^{64} +(5.69306 + 7.11588i) q^{65} +(-3.81822 + 2.20445i) q^{66} +(-0.548339 - 0.146927i) q^{67} +(6.39099 + 3.68984i) q^{68} +0.998452 q^{69} +(17.4762 - 4.40899i) q^{70} +(-10.7460 + 10.7460i) q^{71} +(20.5989 - 5.51947i) q^{72} +(11.8953 + 3.18733i) 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} +(8.62680 - 32.1956i) q^{80} +(-2.07210 - 3.58898i) q^{81} +(5.13234 - 8.88948i) q^{82} +(-3.82648 - 3.82648i) q^{83} +(-7.36756 - 7.58698i) q^{84} +(-2.50518 - 2.50518i) q^{85} +(1.13959 - 0.305353i) q^{86} +(3.00368 - 1.73417i) q^{87} +(-16.4179 + 9.47890i) q^{88} +(-0.0134247 - 0.0501018i) q^{89} -16.5101 q^{90} +(9.45066 - 1.29810i) q^{91} +6.92335 q^{92} +(1.43034 + 5.33809i) q^{93} +(-18.7084 + 10.8013i) q^{94} +(4.58220 - 2.64553i) q^{95} +(-13.1611 + 3.52650i) q^{96} +(9.43761 + 9.43761i) q^{97} +(5.41574 - 18.0732i) 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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.697597 + 2.60347i 0.493276 + 1.84093i 0.539481 + 0.841998i \(0.318621\pi\)
−0.0462053 + 0.998932i \(0.514713\pi\)
\(3\) −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
\(5\) 2.44137 0.654162i 1.09181 0.292550i 0.332386 0.943143i \(-0.392146\pi\)
0.759426 + 0.650593i \(0.225480\pi\)
\(6\) −1.44703 1.44703i −0.590746 0.590746i
\(7\) 0.722189 2.54528i 0.272962 0.962025i
\(8\) −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
\(11\) 0.557615 2.08105i 0.168127 0.627459i −0.829493 0.558516i \(-0.811371\pi\)
0.997621 0.0689427i \(-0.0219626\pi\)
\(12\) 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 \(-0.221039\pi\)
−0.938414 + 0.345512i \(0.887705\pi\)
\(18\) −6.30962 1.69066i −1.48719 0.398492i
\(19\) 2.02208 0.541814i 0.463896 0.124301i −0.0192980 0.999814i \(-0.506143\pi\)
0.483194 + 0.875513i \(0.339476\pi\)
\(20\) −9.40907 + 9.40907i −2.10393 + 2.10393i
\(21\) 0.491389 + 1.94775i 0.107230 + 0.425034i
\(22\) 5.80693 1.23804
\(23\) −1.13887 0.657528i −0.237471 0.137104i 0.376543 0.926399i \(-0.377113\pi\)
−0.614014 + 0.789295i \(0.710446\pi\)
\(24\) 6.45323 + 1.72914i 1.31726 + 0.352959i
\(25\) 1.20221 0.694099i 0.240443 0.138820i
\(26\) −7.58836 + 6.07106i −1.48820 + 1.19063i
\(27\) 4.11781i 0.792473i
\(28\) 3.40733 + 13.5059i 0.643925 + 2.55237i
\(29\) −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
\(31\) 1.88389 7.03077i 0.338357 1.26276i −0.561828 0.827254i \(-0.689902\pi\)
0.900184 0.435509i \(-0.143432\pi\)
\(32\) 17.3344 + 4.64473i 3.06431 + 0.821079i
\(33\) 0.423368 + 1.58003i 0.0736988 + 0.275048i
\(34\) 2.67152 2.67152i 0.458162 0.458162i
\(35\) 0.0981036 6.68639i 0.0165825 1.13021i
\(36\) 12.7592i 2.12653i
\(37\) −2.20574 + 0.591026i −0.362621 + 0.0971640i −0.435529 0.900175i \(-0.643439\pi\)
0.0729080 + 0.997339i \(0.476772\pi\)
\(38\) 2.82119 + 4.88645i 0.457658 + 0.792686i
\(39\) −2.20514 1.62212i −0.353106 0.259747i
\(40\) −19.2606 11.1201i −3.04537 1.75824i
\(41\) −2.69291 2.69291i −0.420562 0.420562i 0.464835 0.885397i \(-0.346114\pi\)
−0.885397 + 0.464835i \(0.846114\pi\)
\(42\) −4.72812 + 2.63806i −0.729564 + 0.407062i
\(43\) 0.437721i 0.0667518i −0.999443 0.0333759i \(-0.989374\pi\)
0.999443 0.0333759i \(-0.0106258\pi\)
\(44\) 2.93567 + 10.9561i 0.442569 + 1.65169i
\(45\) −1.58539 + 5.91676i −0.236336 + 0.882018i
\(46\) 0.917379 3.42370i 0.135260 0.504798i
\(47\) 2.07440 + 7.74178i 0.302583 + 1.12926i 0.935006 + 0.354632i \(0.115394\pi\)
−0.632423 + 0.774623i \(0.717940\pi\)
\(48\) 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
\(52\) −15.2907 11.2479i −2.12043 1.55981i
\(53\) 1.26798 + 2.19621i 0.174171 + 0.301672i 0.939874 0.341522i \(-0.110942\pi\)
−0.765703 + 0.643194i \(0.777609\pi\)
\(54\) 10.7206 2.87257i 1.45889 0.390908i
\(55\) 5.44537i 0.734253i
\(56\) −20.3304 + 11.3434i −2.71677 + 1.51582i
\(57\) −1.12389 + 1.12389i −0.148862 + 0.148862i
\(58\) −3.18672 11.8930i −0.418437 1.56163i
\(59\) −7.54086 2.02057i −0.981737 0.263056i −0.267961 0.963430i \(-0.586350\pi\)
−0.713776 + 0.700374i \(0.753016\pi\)
\(60\) 2.61482 9.75863i 0.337571 1.25983i
\(61\) 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
\(63\) 4.46703 + 4.60006i 0.562793 + 0.579554i
\(64\) 21.9945i 2.74931i
\(65\) 5.69306 + 7.11588i 0.706137 + 0.882616i
\(66\) −3.81822 + 2.20445i −0.469990 + 0.271349i
\(67\) −0.548339 0.146927i −0.0669903 0.0179500i 0.225168 0.974320i \(-0.427707\pi\)
−0.292159 + 0.956370i \(0.594373\pi\)
\(68\) 6.39099 + 3.68984i 0.775021 + 0.447459i
\(69\) 0.998452 0.120200
\(70\) 17.4762 4.40899i 2.08881 0.526976i
\(71\) −10.7460 + 10.7460i −1.27531 + 1.27531i −0.332048 + 0.943263i \(0.607739\pi\)
−0.943263 + 0.332048i \(0.892261\pi\)
\(72\) 20.5989 5.51947i 2.42761 0.650475i
\(73\) 11.8953 + 3.18733i 1.39224 + 0.373049i 0.875551 0.483125i \(-0.160498\pi\)
0.516687 + 0.856174i \(0.327165\pi\)
\(74\) −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 \(0.866275\pi\)
\(80\) 8.62680 32.1956i 0.964505 3.59958i
\(81\) −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 \(-0.345984\pi\)
−0.885207 + 0.465197i \(0.845984\pi\)
\(84\) −7.36756 7.58698i −0.803867 0.827807i
\(85\) −2.50518 2.50518i −0.271725 0.271725i
\(86\) 1.13959 0.305353i 0.122885 0.0329270i
\(87\) 3.00368 1.73417i 0.322028 0.185923i
\(88\) −16.4179 + 9.47890i −1.75016 + 1.01045i
\(89\) −0.0134247 0.0501018i −0.00142302 0.00531078i 0.965211 0.261473i \(-0.0842084\pi\)
−0.966634 + 0.256163i \(0.917542\pi\)
\(90\) −16.5101 −1.74031
\(91\) 9.45066 1.29810i 0.990698 0.136078i
\(92\) 6.92335 0.721809
\(93\) 1.43034 + 5.33809i 0.148319 + 0.553535i
\(94\) −18.7084 + 10.8013i −1.92962 + 1.11407i
\(95\) 4.58220 2.64553i 0.470124 0.271426i
\(96\) −13.1611 + 3.52650i −1.34325 + 0.359922i
\(97\) 9.43761 + 9.43761i 0.958244 + 0.958244i 0.999162 0.0409188i \(-0.0130285\pi\)
−0.0409188 + 0.999162i \(0.513028\pi\)
\(98\) 5.41574 18.0732i 0.547072 1.82567i
\(99\) 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 \(-0.913687\pi\)
0.249765 0.968306i \(-0.419647\pi\)
\(102\) −0.742425 + 2.77077i −0.0735110 + 0.274347i
\(103\) 4.50750 7.80723i 0.444138 0.769269i −0.553854 0.832614i \(-0.686843\pi\)
0.997992 + 0.0633449i \(0.0201768\pi\)
\(104\) 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
\(109\) 7.12483 + 1.90909i 0.682434 + 0.182858i 0.583350 0.812221i \(-0.301742\pi\)
0.0990849 + 0.995079i \(0.468408\pi\)
\(110\) 14.1768 3.79867i 1.35171 0.362189i
\(111\) 1.22597 1.22597i 0.116364 0.116364i
\(112\) −24.3071 25.0309i −2.29680 2.36520i
\(113\) 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
\(115\) −3.21053 0.860259i −0.299384 0.0802196i
\(116\) 20.8278 12.0249i 1.93381 1.11649i
\(117\) −8.68479 0.964710i −0.802910 0.0891875i
\(118\) 21.0419i 1.93707i
\(119\) −3.59596 + 0.907207i −0.329641 + 0.0831636i
\(120\) 16.8858 1.54146
\(121\) 5.50646 + 3.17915i 0.500587 + 0.289014i
\(122\) −5.29278 + 19.7529i −0.479186 + 1.78834i
\(123\) 2.79296 + 0.748371i 0.251833 + 0.0674783i
\(124\) 9.91809 + 37.0148i 0.890671 + 3.32403i
\(125\) −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 \(0.876899\pi\)
\(128\) −22.5932 + 6.05383i −1.99698 + 0.535088i
\(129\) 0.166169 + 0.287813i 0.0146304 + 0.0253405i
\(130\) −14.5545 + 19.7857i −1.27651 + 1.73532i
\(131\) −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
\(135\) −2.69372 10.0531i −0.231838 0.865232i
\(136\) −3.19235 + 11.9140i −0.273742 + 1.02162i
\(137\) −2.35513 + 8.78945i −0.201212 + 0.750934i 0.789359 + 0.613932i \(0.210413\pi\)
−0.990571 + 0.137002i \(0.956253\pi\)
\(138\) 0.696517 + 2.59944i 0.0592915 + 0.221279i
\(139\) 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
\(143\) 7.67942 1.16984i 0.642185 0.0978271i
\(144\) 15.9803 + 27.6787i 1.33169 + 2.30656i
\(145\) −11.1525 + 2.98830i −0.926165 + 0.248165i
\(146\) 33.1925i 2.74703i
\(147\) 5.31244 + 0.155923i 0.438163 + 0.0128603i
\(148\) 8.50095 8.50095i 0.698774 0.698774i
\(149\) −3.87314 14.4547i −0.317300 1.18418i −0.921829 0.387596i \(-0.873306\pi\)
0.604530 0.796583i \(-0.293361\pi\)
\(150\) −2.74402 0.735257i −0.224048 0.0600335i
\(151\) 3.27408 12.2190i 0.266441 0.994372i −0.694921 0.719086i \(-0.744561\pi\)
0.961362 0.275286i \(-0.0887726\pi\)
\(152\) −15.9527 9.21030i −1.29394 0.747054i
\(153\) 3.39716 0.274644
\(154\) 4.19370 14.7803i 0.337938 1.19103i
\(155\) 18.3971i 1.47769i
\(156\) 14.3240 + 1.59112i 1.14684 + 0.127391i
\(157\) 9.11258 5.26115i 0.727263 0.419886i −0.0901569 0.995928i \(-0.528737\pi\)
0.817420 + 0.576042i \(0.195404\pi\)
\(158\) −37.4750 10.0414i −2.98135 0.798850i
\(159\) −1.66746 0.962711i −0.132239 0.0763479i
\(160\) 45.3579 3.58586
\(161\) −2.49607 + 2.42388i −0.196718 + 0.191029i
\(162\) 7.89830 7.89830i 0.620549 0.620549i
\(163\) −0.520357 + 0.139429i −0.0407575 + 0.0109209i −0.279140 0.960250i \(-0.590049\pi\)
0.238383 + 0.971171i \(0.423383\pi\)
\(164\) 19.3666 + 5.18927i 1.51228 + 0.405214i
\(165\) 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 \(-0.828034\pi\)
0.514349 + 0.857581i \(0.328034\pi\)
\(168\) 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
\(171\) −1.31311 + 4.90059i −0.100416 + 0.374758i
\(172\) 1.15223 + 1.99572i 0.0878568 + 0.152172i
\(173\) −1.29813 + 2.24843i −0.0986952 + 0.170945i −0.911145 0.412086i \(-0.864800\pi\)
0.812450 + 0.583031i \(0.198134\pi\)
\(174\) 6.61022 + 6.61022i 0.501120 + 0.501120i
\(175\) −0.898449 3.56124i −0.0679163 0.269205i
\(176\) −20.0903 20.0903i −1.51437 1.51437i
\(177\) 5.72538 1.53411i 0.430346 0.115311i
\(178\) 0.121073 0.0699017i 0.00907482 0.00523935i
\(179\) 1.39849 0.807419i 0.104528 0.0603493i −0.446825 0.894622i \(-0.647445\pi\)
0.551353 + 0.834272i \(0.314112\pi\)
\(180\) −8.34658 31.1499i −0.622118 2.32177i
\(181\) −2.49671 −0.185579 −0.0927895 0.995686i \(-0.529578\pi\)
−0.0927895 + 0.995686i \(0.529578\pi\)
\(182\) 9.97232 + 23.6989i 0.739197 + 1.75668i
\(183\) −5.76053 −0.425830
\(184\) 2.99495 + 11.1773i 0.220791 + 0.824003i
\(185\) −4.99839 + 2.88582i −0.367489 + 0.212170i
\(186\) −12.8998 + 7.44768i −0.945856 + 0.546090i
\(187\) −2.91707 + 0.781626i −0.213317 + 0.0571582i
\(188\) −29.8370 29.8370i −2.17609 2.17609i
\(189\) −10.4810 2.97384i −0.762379 0.216315i
\(190\) 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
\(193\) −1.61284 + 6.01922i −0.116095 + 0.433273i −0.999367 0.0355893i \(-0.988669\pi\)
0.883271 + 0.468862i \(0.155336\pi\)
\(194\) −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 −0.985467 0.169868i \(-0.945666\pi\)
0.345623 0.938373i \(-0.387668\pi\)
\(200\) −11.7990 3.16153i −0.834315 0.223554i
\(201\) 0.416325 0.111554i 0.0293653 0.00786841i
\(202\) 27.3399 27.3399i 1.92363 1.92363i
\(203\) −3.29906 + 11.6272i −0.231549 + 0.816069i
\(204\) −5.60300 −0.392288
\(205\) −8.33599 4.81279i −0.582211 0.336140i
\(206\) 23.4703 + 6.28884i 1.63525 + 0.438164i
\(207\) 2.76010 1.59355i 0.191840 0.110759i
\(208\) 47.2577 + 5.24941i 3.27673 + 0.363981i
\(209\) 4.51016i 0.311974i
\(210\) −9.81734 + 9.53343i −0.677461 + 0.657869i
\(211\) 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
\(213\) 2.98634 11.1452i 0.204621 0.763655i
\(214\) −11.2198 3.00634i −0.766971 0.205509i
\(215\) −0.286340 1.06864i −0.0195282 0.0728804i
\(216\) −25.6213 + 25.6213i −1.74331 + 1.74331i
\(217\) −16.5347 9.87257i −1.12245 0.670194i
\(218\) 19.8810i 1.34651i
\(219\) −9.03147 + 2.41997i −0.610290 + 0.163527i
\(220\) 14.3341 + 24.8274i 0.966403 + 1.67386i
\(221\) 2.99478 4.07116i 0.201450 0.273856i
\(222\) 4.04699 + 2.33653i 0.271616 + 0.156818i
\(223\) 12.1327 + 12.1327i 0.812463 + 0.812463i 0.985003 0.172540i \(-0.0551974\pi\)
−0.172540 + 0.985003i \(0.555197\pi\)
\(224\) 24.3408 40.7664i 1.62634 2.72382i
\(225\) 3.36436i 0.224291i
\(226\) 7.08618 + 26.4460i 0.471366 + 1.75916i
\(227\) −4.43867 + 16.5653i −0.294605 + 1.09948i 0.646926 + 0.762553i \(0.276054\pi\)
−0.941531 + 0.336927i \(0.890612\pi\)
\(228\) 2.16574 8.08265i 0.143430 0.535286i
\(229\) −5.63884 21.0444i −0.372625 1.39065i −0.856784 0.515675i \(-0.827541\pi\)
0.484160 0.874980i \(-0.339125\pi\)
\(230\) 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 \(0.117456\pi\)
0.778705 + 0.627390i \(0.215877\pi\)
\(234\) −3.54690 23.2836i −0.231868 1.52209i
\(235\) 10.1288 + 17.5435i 0.660728 + 1.14441i
\(236\) 39.7003 10.6377i 2.58427 0.692453i
\(237\) 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 \(0.0959628\pi\)
\(240\) 6.54987 + 24.4445i 0.422793 + 1.57788i
\(241\) 20.6397 + 5.53040i 1.32952 + 0.356245i 0.852537 0.522667i \(-0.175063\pi\)
0.476986 + 0.878911i \(0.341729\pi\)
\(242\) −4.43554 + 16.5537i −0.285127 + 1.06411i
\(243\) 13.4233 + 7.74995i 0.861106 + 0.497160i
\(244\) −39.9440 −2.55715
\(245\) −16.9479 5.07854i −1.08276 0.324456i
\(246\) 7.79344i 0.496891i
\(247\) 4.71531 + 5.89377i 0.300028 + 0.375012i
\(248\) −55.4677 + 32.0243i −3.52220 + 2.03354i
\(249\) 3.96863 + 1.06339i 0.251502 + 0.0673897i
\(250\) −21.3085 12.3024i −1.34767 0.778075i
\(251\) 10.4531 0.659791 0.329896 0.944017i \(-0.392986\pi\)
0.329896 + 0.944017i \(0.392986\pi\)
\(252\) −32.4757 9.21455i −2.04578 0.580462i
\(253\) −2.00340 + 2.00340i −0.125952 + 0.125952i
\(254\) −22.1317 + 5.93017i −1.38867 + 0.372092i
\(255\) 2.59825 + 0.696199i 0.162709 + 0.0435977i
\(256\) −9.52744 16.5020i −0.595465 1.03138i
\(257\) 7.01434 12.1492i 0.437543 0.757846i −0.559957 0.828522i \(-0.689182\pi\)
0.997499 + 0.0706758i \(0.0225156\pi\)
\(258\) −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
\(262\) 6.42345 23.9726i 0.396842 1.48103i
\(263\) −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
\(266\) 14.4748 3.65178i 0.887507 0.223905i
\(267\) 0.0278469 + 0.0278469i 0.00170420 + 0.00170420i
\(268\) 2.88683 0.773525i 0.176341 0.0472505i
\(269\) −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
\(271\) 7.25276 + 27.0677i 0.440574 + 1.64424i 0.727365 + 0.686251i \(0.240745\pi\)
−0.286791 + 0.957993i \(0.592588\pi\)
\(272\) −18.4854 −1.12084
\(273\) −5.72128 + 4.44123i −0.346267 + 0.268796i
\(274\) −24.5260 −1.48167
\(275\) −0.774080 2.88891i −0.0466788 0.174208i
\(276\) −4.55229 + 2.62827i −0.274016 + 0.158203i
\(277\) −7.99289 + 4.61469i −0.480246 + 0.277270i −0.720519 0.693435i \(-0.756096\pi\)
0.240273 + 0.970705i \(0.422763\pi\)
\(278\) −1.93770 + 0.519204i −0.116215 + 0.0311398i
\(279\) 12.4737 + 12.4737i 0.746780 + 0.746780i
\(280\) −42.2136 + 40.9928i −2.52274 + 2.44979i
\(281\) 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 \(-0.218373\pi\)
−0.935488 + 0.353358i \(0.885040\pi\)
\(284\) 20.7076 77.2816i 1.22877 4.58582i
\(285\) −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
\(291\) −9.78822 2.62275i −0.573796 0.153748i
\(292\) −62.6250 + 16.7803i −3.66485 + 0.981993i
\(293\) −8.39280 + 8.39280i −0.490313 + 0.490313i −0.908405 0.418092i \(-0.862699\pi\)
0.418092 + 0.908405i \(0.362699\pi\)
\(294\) 3.30000 + 13.9395i 0.192460 + 0.812971i
\(295\) −19.7318 −1.14883
\(296\) 17.4017 + 10.0469i 1.01145 + 0.583962i
\(297\) −8.56936 2.29615i −0.497245 0.133236i
\(298\) 34.9306 20.1672i 2.02347 1.16825i
\(299\) 0.523468 4.71251i 0.0302729 0.272532i
\(300\) 5.54890i 0.320366i
\(301\) −1.11412 0.316117i −0.0642168 0.0182207i
\(302\) 34.0959 1.96200
\(303\) 9.43230 + 5.44574i 0.541871 + 0.312850i
\(304\) 7.14520 26.6663i 0.409805 1.52941i
\(305\) 18.5230 + 4.96323i 1.06063 + 0.284194i
\(306\) 2.36985 + 8.84439i 0.135475 + 0.505600i
\(307\) −1.45103 + 1.45103i −0.0828145 + 0.0828145i −0.747301 0.664486i \(-0.768650\pi\)
0.664486 + 0.747301i \(0.268650\pi\)
\(308\) 30.0063 + 0.440257i 1.70977 + 0.0250860i
\(309\) 6.84462i 0.389377i
\(310\) 47.8962 12.8337i 2.72032 0.728907i
\(311\) −1.64915 2.85641i −0.0935147 0.161972i 0.815473 0.578795i \(-0.196477\pi\)
−0.908988 + 0.416823i \(0.863144\pi\)
\(312\) 3.62763 + 23.8135i 0.205374 + 1.34817i
\(313\) −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
\(317\) −7.84293 29.2702i −0.440503 1.64398i −0.727544 0.686061i \(-0.759338\pi\)
0.287041 0.957918i \(-0.407328\pi\)
\(318\) 1.34317 5.01277i 0.0753212 0.281102i
\(319\) −2.54726 + 9.50651i −0.142619 + 0.532263i
\(320\) 14.3880 + 53.6966i 0.804311 + 3.00173i
\(321\) 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
\(325\) 4.03186 + 2.96586i 0.223647 + 0.164516i
\(326\) −0.725999 1.25747i −0.0402094 0.0696447i
\(327\) −5.40950 + 1.44947i −0.299146 + 0.0801560i
\(328\) 33.5110i 1.85034i
\(329\) 21.2031 + 0.311095i 1.16897 + 0.0171512i
\(330\) −7.87960 + 7.87960i −0.433758 + 0.433758i
\(331\) −2.47572 9.23949i −0.136078 0.507849i −0.999991 0.00420839i \(-0.998660\pi\)
0.863914 0.503640i \(-0.168006\pi\)
\(332\) 27.5188 + 7.37365i 1.51029 + 0.404682i
\(333\) 1.43238 5.34570i 0.0784937 0.292943i
\(334\) −14.6420 8.45355i −0.801173 0.462557i
\(335\) −1.43481 −0.0783921
\(336\) 25.4849 + 7.23100i 1.39031 + 0.394484i
\(337\) 24.0729i 1.31133i 0.755050 + 0.655667i \(0.227612\pi\)
−0.755050 + 0.655667i \(0.772388\pi\)
\(338\) −31.0299 16.2751i −1.68780 0.885249i
\(339\) −6.67916 + 3.85621i −0.362762 + 0.209441i
\(340\) 18.0165 + 4.82750i 0.977081 + 0.261808i
\(341\) −13.5809 7.84092i −0.735446 0.424610i
\(342\) −13.6746 −0.739435
\(343\) −13.6593 + 12.5069i −0.737534 + 0.675310i
\(344\) −2.72353 + 2.72353i −0.146843 + 0.146843i
\(345\) 2.43759 0.653150i 0.131235 0.0351644i
\(346\) −6.75929 1.81115i −0.363382 0.0973679i
\(347\) 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 \(-0.811342\pi\)
0.558591 + 0.829443i \(0.311342\pi\)
\(350\) 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
\(353\) −2.53408 + 9.45731i −0.134875 + 0.503362i 0.865123 + 0.501560i \(0.167240\pi\)
−0.999998 + 0.00180195i \(0.999426\pi\)
\(354\) 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
\(357\) 2.02004 1.96163i 0.106912 0.103820i
\(358\) 3.07767 + 3.07767i 0.162660 + 0.162660i
\(359\) −35.9441 + 9.63119i −1.89706 + 0.508315i −0.899628 + 0.436657i \(0.856162\pi\)
−0.997429 + 0.0716576i \(0.977171\pi\)
\(360\) 46.6789 26.9501i 2.46019 1.42039i
\(361\) −12.6592 + 7.30882i −0.666276 + 0.384675i
\(362\) −1.74170 6.50011i −0.0915416 0.341638i
\(363\) −4.82753 −0.253380
\(364\) −39.6718 + 30.7959i −2.07937 + 1.61414i
\(365\) 31.1258 1.62920
\(366\) −4.01853 14.9973i −0.210052 0.783924i
\(367\) 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
\(369\) 8.91522 2.38883i 0.464108 0.124357i
\(370\) −11.0000 11.0000i −0.571863 0.571863i
\(371\) 6.50568 1.64129i 0.337758 0.0852114i
\(372\) −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
\(375\) 1.79388 6.69484i 0.0926354 0.345720i
\(376\) 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
\(382\) 28.4624 + 7.62647i 1.45626 + 0.390204i
\(383\) 5.13388 1.37562i 0.262329 0.0702908i −0.125257 0.992124i \(-0.539976\pi\)
0.387586 + 0.921833i \(0.373309\pi\)
\(384\) 12.5575 12.5575i 0.640821 0.640821i
\(385\) −13.8600 3.93259i −0.706370 0.200423i
\(386\) −16.7960 −0.854892
\(387\) 0.918710 + 0.530417i 0.0467006 + 0.0269626i
\(388\) −67.8724 18.1864i −3.44570 0.923272i
\(389\) −30.2004 + 17.4362i −1.53122 + 0.884050i −0.531913 + 0.846799i \(0.678527\pi\)
−0.999306 + 0.0372510i \(0.988140\pi\)
\(390\) 2.05886 18.5349i 0.104254 0.938550i
\(391\) 1.84335i 0.0932224i
\(392\) 14.1897 + 59.9386i 0.716687 + 3.02736i
\(393\) 6.99112 0.352655
\(394\) 37.9381 + 21.9036i 1.91130 + 1.10349i
\(395\) −9.41618 + 35.1417i −0.473779 + 1.76817i
\(396\) −26.5525 7.11472i −1.33431 0.357528i
\(397\) −9.42978 35.1924i −0.473267 1.76626i −0.627910 0.778286i \(-0.716090\pi\)
0.154643 0.987970i \(-0.450577\pi\)
\(398\) 34.4052 34.4052i 1.72458 1.72458i
\(399\) 2.04894 + 3.67226i 0.102576 + 0.183843i
\(400\) 18.3069i 0.915347i
\(401\) 14.2063 3.80657i 0.709430 0.190091i 0.113979 0.993483i \(-0.463640\pi\)
0.595451 + 0.803392i \(0.296974\pi\)
\(402\) 0.580854 + 1.00607i 0.0289704 + 0.0501782i
\(403\) 25.9447 3.95229i 1.29240 0.196877i
\(404\) 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
\(408\) −2.42379 9.04569i −0.119995 0.447828i
\(409\) 0.568872 2.12306i 0.0281289 0.104979i −0.950434 0.310926i \(-0.899361\pi\)
0.978563 + 0.205947i \(0.0660276\pi\)
\(410\) 6.71477 25.0599i 0.331619 1.23762i
\(411\) −1.78812 6.67337i −0.0882017 0.329173i
\(412\) 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
\(416\) 9.74435 + 63.9667i 0.477756 + 3.13623i
\(417\) −0.282545 0.489381i −0.0138363 0.0239651i
\(418\) 11.7421 3.14628i 0.574323 0.153889i
\(419\) 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 −0.908439 0.418017i \(-0.862725\pi\)
0.418017 + 0.908439i \(0.362725\pi\)
\(422\) 1.94304 + 7.25153i 0.0945858 + 0.352999i
\(423\) −18.7625 5.02741i −0.912266 0.244441i
\(424\) 5.77549 21.5544i 0.280483 1.04678i
\(425\) −1.68518 0.972940i −0.0817433 0.0471945i
\(426\) 31.0994 1.50677
\(427\) 14.4010 13.9845i 0.696912 0.676757i
\(428\) 22.6885i 1.09669i
\(429\) −4.60533 + 3.68449i −0.222347 + 0.177889i
\(430\) 2.58241 1.49096i 0.124535 0.0719002i
\(431\) −12.8581 3.44532i −0.619353 0.165955i −0.0645192 0.997916i \(-0.520551\pi\)
−0.554834 + 0.831961i \(0.687218\pi\)
\(432\) −47.0285 27.1519i −2.26266 1.30635i
\(433\) −29.1175 −1.39930 −0.699648 0.714488i \(-0.746660\pi\)
−0.699648 + 0.714488i \(0.746660\pi\)
\(434\) 14.1683 49.9348i 0.680102 2.39695i
\(435\) 6.19865 6.19865i 0.297202 0.297202i
\(436\) −37.5100 + 10.0508i −1.79640 + 0.481344i
\(437\) −2.65914 0.712515i −0.127204 0.0340842i
\(438\) −12.6006 21.8250i −0.602082 1.04284i
\(439\) −5.15668 + 8.93164i −0.246115 + 0.426284i −0.962445 0.271478i \(-0.912487\pi\)
0.716329 + 0.697762i \(0.245821\pi\)
\(440\) −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 \(0.171317\pi\)
\(444\) −2.36245 + 8.81677i −0.112117 + 0.418426i
\(445\) −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
\(448\) 55.9821 + 15.8842i 2.64490 + 0.750457i
\(449\) 8.66406 + 8.66406i 0.408882 + 0.408882i 0.881349 0.472466i \(-0.156636\pi\)
−0.472466 + 0.881349i \(0.656636\pi\)
\(450\) −8.75900 + 2.34697i −0.412903 + 0.110637i
\(451\) −7.10569 + 4.10247i −0.334594 + 0.193178i
\(452\) −46.3139 + 26.7393i −2.17842 + 1.25771i
\(453\) 2.48584 + 9.27728i 0.116795 + 0.435885i
\(454\) −46.2237 −2.16939
\(455\) 22.2234 9.35140i 1.04185 0.438401i
\(456\) 13.9858 0.654945
\(457\) −4.78572 17.8605i −0.223866 0.835481i −0.982855 0.184378i \(-0.940973\pi\)
0.758989 0.651103i \(-0.225694\pi\)
\(458\) 50.8548 29.3611i 2.37629 1.37195i
\(459\) −4.99875 + 2.88603i −0.233322 + 0.134708i
\(460\) 16.9024 4.52900i 0.788080 0.211165i
\(461\) −5.20251 5.20251i −0.242305 0.242305i 0.575498 0.817803i \(-0.304808\pi\)
−0.817803 + 0.575498i \(0.804808\pi\)
\(462\) 2.85346 + 11.3105i 0.132755 + 0.526210i
\(463\) −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
\(466\) −21.0427 + 78.5325i −0.974785 + 3.63795i
\(467\) 4.94463 8.56435i 0.228810 0.396311i −0.728646 0.684891i \(-0.759850\pi\)
0.957456 + 0.288580i \(0.0931832\pi\)
\(468\) 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
\(473\) −0.910917 0.244079i −0.0418840 0.0112228i
\(474\) 28.4528 7.62390i 1.30688 0.350177i
\(475\) 2.05490 2.05490i 0.0942852 0.0942852i
\(476\) 14.0072 13.6021i 0.642017 0.623450i
\(477\) −6.14601 −0.281407
\(478\) 33.5783 + 19.3864i 1.53584 + 0.886715i
\(479\) 13.1156 + 3.51431i 0.599267 + 0.160573i 0.545685 0.837990i \(-0.316270\pi\)
0.0535818 + 0.998563i \(0.482936\pi\)
\(480\) −29.8241 + 17.2189i −1.36128 + 0.785934i
\(481\) −5.14359 6.42909i −0.234528 0.293141i
\(482\) 57.5929i 2.62328i
\(483\) 0.721071 2.54134i 0.0328099 0.115635i
\(484\) −33.4745 −1.52157
\(485\) 29.2144 + 16.8669i 1.32656 + 0.765888i
\(486\) −10.8127 + 40.3535i −0.490473 + 1.83047i
\(487\) −5.93329 1.58982i −0.268863 0.0720416i 0.121869 0.992546i \(-0.461111\pi\)
−0.390732 + 0.920505i \(0.627778\pi\)
\(488\) −17.2793 64.4871i −0.782195 2.91919i
\(489\) 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 \(-0.169032\pi\)
\(492\) −14.7040 + 3.93994i −0.662910 + 0.177626i
\(493\) 3.20165 + 5.54542i 0.144195 + 0.249753i
\(494\) −12.0549 + 16.3876i −0.542374 + 0.737315i
\(495\) 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
\(499\) 9.64734 + 36.0044i 0.431874 + 1.61178i 0.748438 + 0.663205i \(0.230804\pi\)
−0.316563 + 0.948571i \(0.602529\pi\)
\(500\) 12.4389 46.4226i 0.556284 2.07608i
\(501\) 1.23265 4.60031i 0.0550708 0.205527i
\(502\) 7.29203 + 27.2142i 0.325459 + 1.21463i
\(503\) 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
\(507\) 2.16605 9.62961i 0.0961976 0.427666i
\(508\) −22.3772 38.7584i −0.992827 1.71963i
\(509\) 40.3870 10.8217i 1.79012 0.479661i 0.797754 0.602984i \(-0.206022\pi\)
0.992367 + 0.123322i \(0.0393549\pi\)
\(510\) 7.25013i 0.321041i
\(511\) 16.7033 27.9750i 0.738910 1.23754i
\(512\) 3.23738 3.23738i 0.143073 0.143073i
\(513\) −2.23109 8.32653i −0.0985049 0.367625i
\(514\) 36.5232 + 9.78637i 1.61097 + 0.431658i
\(515\) 5.89728 22.0089i 0.259865 0.969830i
\(516\) −1.51525 0.874828i −0.0667050 0.0385122i
\(517\) 17.2677 0.759434
\(518\) −15.7895 + 3.98346i −0.693751 + 0.175023i
\(519\) 1.97121i 0.0865264i
\(520\) 8.85289 79.6981i 0.388225 3.49499i
\(521\) 9.76857 5.63989i 0.427969 0.247088i −0.270512 0.962717i \(-0.587193\pi\)
0.698481 + 0.715629i \(0.253860\pi\)
\(522\) 28.8232 + 7.72316i 1.26156 + 0.338033i
\(523\) 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
\(525\) 1.94269 + 2.00054i 0.0847858 + 0.0873108i
\(526\) 4.81969 4.81969i 0.210149 0.210149i
\(527\) −9.85525 + 2.64071i −0.429301 + 0.115031i
\(528\) 20.8367 + 5.58318i 0.906802 + 0.242977i
\(529\) −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
\(535\) −2.81916 + 10.5212i −0.121883 + 0.454873i
\(536\) 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
\(539\) −10.9723 + 10.3466i −0.472610 + 0.445658i
\(540\) 38.7448 + 38.7448i 1.66731 + 1.66731i
\(541\) −30.8404 + 8.26367i −1.32593 + 0.355283i −0.851198 0.524845i \(-0.824123\pi\)
−0.474736 + 0.880128i \(0.657457\pi\)
\(542\) −65.4103 + 37.7647i −2.80961 + 1.62213i
\(543\) 1.64166 0.947811i 0.0704502 0.0406744i
\(544\) −6.51066 24.2981i −0.279142 1.04177i
\(545\) 18.6432 0.798585
\(546\) −15.5537 11.7970i −0.665639 0.504864i
\(547\) −10.5664 −0.451787 −0.225893 0.974152i \(-0.572530\pi\)
−0.225893 + 0.974152i \(0.572530\pi\)
\(548\) −12.3990 46.2737i −0.529659 1.97672i
\(549\) −15.9243 + 9.19390i −0.679633 + 0.392386i
\(550\) 6.98118 4.03058i 0.297678 0.171865i
\(551\) −9.23713 + 2.47508i −0.393515 + 0.105442i
\(552\) −6.21244 6.21244i −0.264419 0.264419i
\(553\) 26.5312 + 27.3214i 1.12822 + 1.16182i
\(554\) −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
\(557\) 1.25353 4.67823i 0.0531136 0.198223i −0.934271 0.356564i \(-0.883948\pi\)
0.987384 + 0.158342i \(0.0506147\pi\)
\(558\) −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 \(-0.237993\pi\)
−0.955478 + 0.295061i \(0.904660\pi\)
\(564\) 30.9455 + 8.29181i 1.30304 + 0.349148i
\(565\) 24.7994 6.64497i 1.04332 0.279556i
\(566\) 10.3705 10.3705i 0.435904 0.435904i
\(567\) −10.6314 + 2.68214i −0.446476 + 0.112639i
\(568\) 133.724 5.61094
\(569\) 9.51695 + 5.49461i 0.398971 + 0.230346i 0.686040 0.727564i \(-0.259347\pi\)
−0.287069 + 0.957910i \(0.592681\pi\)
\(570\) −10.4587 2.80241i −0.438068 0.117380i
\(571\) −13.0863 + 7.55535i −0.547643 + 0.316182i −0.748171 0.663506i \(-0.769068\pi\)
0.200528 + 0.979688i \(0.435734\pi\)
\(572\) −31.9337 + 25.5486i −1.33522 + 1.06824i
\(573\) 8.30046i 0.346757i
\(574\) −18.9197 19.4831i −0.789692 0.813210i
\(575\) −1.82556 −0.0761310
\(576\) −46.1631 26.6523i −1.92346 1.11051i
\(577\) 1.22540 4.57325i 0.0510140 0.190387i −0.935717 0.352753i \(-0.885246\pi\)
0.986731 + 0.162366i \(0.0519124\pi\)
\(578\) 39.1435 + 10.4885i 1.62816 + 0.436263i
\(579\) −1.22455 4.57007i −0.0508905 0.189926i
\(580\) 42.9819 42.9819i 1.78473 1.78473i
\(581\) −12.5029 + 6.97601i −0.518707 + 0.289414i
\(582\) 27.3129i 1.13216i
\(583\) 5.27745 1.41409i 0.218570 0.0585656i
\(584\) −54.1815 93.8451i −2.24205 3.88334i
\(585\) −21.8338 + 3.32605i −0.902718 + 0.137515i
\(586\) −27.7052 15.9956i −1.14449 0.660772i
\(587\) −7.44792 7.44792i −0.307409 0.307409i 0.536495 0.843904i \(-0.319748\pi\)
−0.843904 + 0.536495i \(0.819748\pi\)
\(588\) −24.6317 + 13.2733i −1.01580 + 0.547380i
\(589\) 15.2375i 0.627850i
\(590\) −13.7648 51.3711i −0.566689 2.11491i
\(591\) −3.19387 + 11.9197i −0.131378 + 0.490310i
\(592\) −7.79418 + 29.0883i −0.320339 + 1.19552i
\(593\) −5.83377 21.7719i −0.239564 0.894066i −0.976038 0.217600i \(-0.930177\pi\)
0.736474 0.676466i \(-0.236490\pi\)
\(594\) 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
\(598\) 12.6340 1.92460i 0.516645 0.0787029i
\(599\) −23.0340 39.8961i −0.941146 1.63011i −0.763291 0.646055i \(-0.776418\pi\)
−0.177855 0.984057i \(-0.556916\pi\)
\(600\) 8.95836 2.40039i 0.365723 0.0979953i
\(601\) 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
\(604\) 17.2370 + 64.3295i 0.701365 + 2.61753i
\(605\) 15.5230 + 4.15937i 0.631098 + 0.169102i
\(606\) −7.59787 + 28.3556i −0.308642 + 1.15187i
\(607\) 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
\(609\) −2.24473 8.89760i −0.0909611 0.360549i
\(610\) 51.6864i 2.09272i
\(611\) −22.5651 + 18.0532i −0.912885 + 0.730353i
\(612\) −15.4888 + 8.94248i −0.626099 + 0.361478i
\(613\) 26.8783 + 7.20201i 1.08560 + 0.290887i 0.756889 0.653543i \(-0.226718\pi\)
0.328714 + 0.944430i \(0.393385\pi\)
\(614\) −4.78994 2.76547i −0.193306 0.111605i
\(615\) 7.30819 0.294695
\(616\) 12.2696 + 48.6338i 0.494356 + 1.95951i
\(617\) 11.4818 11.4818i 0.462241 0.462241i −0.437148 0.899390i \(-0.644011\pi\)
0.899390 + 0.437148i \(0.144011\pi\)
\(618\) −17.8198 + 4.77479i −0.716816 + 0.192070i
\(619\) 36.3384 + 9.73685i 1.46056 + 0.391357i 0.899685 0.436540i \(-0.143796\pi\)
0.560880 + 0.827897i \(0.310463\pi\)
\(620\) 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
\(626\) 16.7059 62.3474i 0.667703 2.49190i
\(627\) 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
\(630\) −11.9234 + 42.0227i −0.475039 + 1.67422i
\(631\) 1.20311 + 1.20311i 0.0478949 + 0.0478949i 0.730649 0.682754i \(-0.239218\pi\)
−0.682754 + 0.730649i \(0.739218\pi\)
\(632\) 122.344 32.7820i 4.86659 1.30400i
\(633\) −1.83143 + 1.05738i −0.0727930 + 0.0420271i
\(634\) 70.7329 40.8377i 2.80916 1.62187i
\(635\) 5.56094 + 20.7537i 0.220679 + 0.823586i
\(636\) 10.1367 0.401948
\(637\) 3.52113 24.9920i 0.139512 0.990220i
\(638\) −26.5269 −1.05021
\(639\) −9.53251 35.5758i −0.377100 1.40736i
\(640\) −51.1981 + 29.5593i −2.02378 + 1.16843i
\(641\) −1.30393 + 0.752823i −0.0515020 + 0.0297347i −0.525530 0.850775i \(-0.676133\pi\)
0.474028 + 0.880510i \(0.342800\pi\)
\(642\) 8.51862 2.28256i 0.336203 0.0900854i
\(643\) −27.5811 27.5811i −1.08769 1.08769i −0.995766 0.0919256i \(-0.970698\pi\)
−0.0919256 0.995766i \(-0.529302\pi\)
\(644\) 4.99997 17.6219i 0.197026 0.694399i
\(645\) 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 \(-0.117153\pi\)
−0.778106 + 0.628133i \(0.783819\pi\)
\(648\) −9.43813 + 35.2236i −0.370765 + 1.38371i
\(649\) −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
\(655\) −22.4800 6.02350i −0.878367 0.235358i
\(656\) −48.5116 + 12.9986i −1.89406 + 0.507511i
\(657\) −21.1041 + 21.1041i −0.823350 + 0.823350i
\(658\) 13.9813 + 55.4186i 0.545048 + 2.16044i
\(659\) −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
\(661\) −37.1246 9.94751i −1.44398 0.386913i −0.550054 0.835129i \(-0.685393\pi\)
−0.893925 + 0.448216i \(0.852060\pi\)
\(662\) 22.3277 12.8909i 0.867790 0.501019i
\(663\) −0.423637 + 3.81379i −0.0164527 + 0.148115i
\(664\) 47.6172i 1.84791i
\(665\) −3.42440 13.5735i −0.132793 0.526360i
\(666\) 14.9166 0.578006
\(667\) 5.20252 + 3.00368i 0.201442 + 0.116303i
\(668\) 8.54731 31.8990i 0.330705 1.23421i
\(669\) −12.5834 3.37171i −0.486502 0.130358i
\(670\) −1.00092 3.73548i −0.0386689 0.144314i
\(671\) 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 \(0.965159\pi\)
\(674\) −62.6730 + 16.7932i −2.41407 + 0.646849i
\(675\) −2.85817 4.95049i −0.110011 0.190545i
\(676\) 15.0196 66.7725i 0.577675 2.56817i
\(677\) 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
\(681\) −3.37005 12.5772i −0.129140 0.481959i
\(682\) 10.9396 40.8272i 0.418899 1.56335i
\(683\) 3.37609 12.5998i 0.129183 0.482116i −0.870772 0.491688i \(-0.836380\pi\)
0.999954 + 0.00957166i \(0.00304680\pi\)
\(684\) −6.91311 25.8001i −0.264329 0.986491i
\(685\) 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
\(689\) −5.41804 + 7.36540i −0.206411 + 0.280599i
\(690\) 3.40091 + 5.89055i 0.129470 + 0.224249i
\(691\) 2.50901 0.672287i 0.0954472 0.0255750i −0.210779 0.977534i \(-0.567600\pi\)
0.306227 + 0.951959i \(0.400933\pi\)
\(692\) 13.6685i 0.519599i
\(693\) 12.0638 6.73103i 0.458267 0.255691i
\(694\) −7.58493 + 7.58493i −0.287920 + 0.287920i
\(695\) 0.486877 + 1.81705i 0.0184683 + 0.0689246i
\(696\) −29.4792 7.89894i −1.11741 0.299409i
\(697\) −1.38165 + 5.15639i −0.0523338 + 0.195312i
\(698\) −16.7032 9.64360i −0.632226 0.365016i
\(699\) −22.9024 −0.866247
\(700\) 13.4708 + 13.8719i 0.509147 + 0.524310i
\(701\) 42.5214i 1.60601i 0.595972 + 0.803005i \(0.296767\pi\)
−0.595972 + 0.803005i \(0.703233\pi\)
\(702\) 24.9995 + 31.2474i 0.943545 + 1.17936i
\(703\) −4.13995 + 2.39020i −0.156141 + 0.0901481i
\(704\) 45.7715 + 12.2644i 1.72508 + 0.462234i
\(705\) −13.3199 7.69024i −0.501656 0.289631i
\(706\) −26.3896 −0.993184
\(707\) −36.8005 + 9.28422i −1.38403 + 0.349169i
\(708\) −22.0657 + 22.0657i −0.829281 + 0.829281i
\(709\) 46.1184 12.3574i 1.73201 0.464091i 0.751367 0.659884i \(-0.229395\pi\)
0.980645 + 0.195793i \(0.0627280\pi\)
\(710\) −100.000 26.7950i −3.75295 1.00560i
\(711\) −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
\(717\) −2.82683 + 10.5499i −0.105570 + 0.393992i
\(718\) −50.1490 86.8606i −1.87154 3.24161i
\(719\) −9.27940 + 16.0724i −0.346063 + 0.599399i −0.985546 0.169406i \(-0.945815\pi\)
0.639483 + 0.768805i \(0.279148\pi\)
\(720\) 57.1201 + 57.1201i 2.12874 + 2.12874i
\(721\) −16.6163 17.1111i −0.618823 0.637252i
\(722\) −27.8593 27.8593i −1.03682 1.03682i
\(723\) −15.6707 + 4.19894i −0.582799 + 0.156160i
\(724\) 11.3834 6.57220i 0.423060 0.244254i
\(725\) −5.49189 + 3.17074i −0.203964 + 0.117758i
\(726\) −3.36767 12.5683i −0.124986 0.466454i
\(727\) 32.8685 1.21903 0.609513 0.792776i \(-0.291365\pi\)
0.609513 + 0.792776i \(0.291365\pi\)
\(728\) −66.8795 50.7258i −2.47872 1.88002i
\(729\) 0.664320 0.0246045
\(730\) 21.7133 + 81.0350i 0.803644 + 2.99924i
\(731\) −0.531364 + 0.306783i −0.0196532 + 0.0113468i
\(732\) 26.2643 15.1637i 0.970756 0.560466i
\(733\) 36.2185 9.70471i 1.33776 0.358452i 0.482157 0.876085i \(-0.339853\pi\)
0.855603 + 0.517633i \(0.173187\pi\)
\(734\) 54.3210 + 54.3210i 2.00503 + 2.00503i
\(735\) 13.0716 3.09453i 0.482154 0.114144i
\(736\) −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
\(739\) −1.37878 + 5.14567i −0.0507191 + 0.189286i −0.986638 0.162930i \(-0.947905\pi\)
0.935918 + 0.352217i \(0.114572\pi\)
\(740\) 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
\(746\) 12.2891 + 3.29286i 0.449936 + 0.120560i
\(747\) 12.6680 3.39438i 0.463498 0.124194i
\(748\) 11.2424 11.2424i 0.411064 0.411064i
\(749\) 7.94332 + 8.17988i 0.290243 + 0.298886i
\(750\) 18.6812 0.682141
\(751\) −27.4170 15.8292i −1.00046 0.577615i −0.0920748 0.995752i \(-0.529350\pi\)
−0.908384 + 0.418137i \(0.862683\pi\)
\(752\) 102.095 + 27.3563i 3.72303 + 0.997582i
\(753\) −6.87318 + 3.96823i −0.250472 + 0.144610i
\(754\) 34.6647 27.7335i 1.26241 1.00999i
\(755\) 31.9730i 1.16361i
\(756\) 55.6146 14.0307i 2.02268 0.510293i
\(757\) −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
\(759\) 0.556752 2.07783i 0.0202088 0.0754203i
\(760\) −44.9715 12.0501i −1.63129 0.437102i
\(761\) 11.8816 + 44.3428i 0.430708 + 1.60743i 0.751133 + 0.660151i \(0.229508\pi\)
−0.320424 + 0.947274i \(0.603825\pi\)
\(762\) 12.3010 12.3010i 0.445617 0.445617i
\(763\) 10.0046 16.7559i 0.362192 0.606606i
\(764\) 57.5561i 2.08231i
\(765\) 8.29370 2.22229i 0.299859 0.0803471i
\(766\) 7.16275 + 12.4063i 0.258801 + 0.448256i
\(767\) −4.23903 27.8271i −0.153062 1.00478i
\(768\) 12.5291 + 7.23368i 0.452105 + 0.261023i
\(769\) −4.10750 4.10750i −0.148120 0.148120i 0.629158 0.777278i \(-0.283400\pi\)
−0.777278 + 0.629158i \(0.783400\pi\)
\(770\) 0.569681 38.8274i 0.0205299 1.39924i
\(771\) 10.6512i 0.383595i
\(772\) −8.49112 31.6893i −0.305602 1.14052i
\(773\) −10.8746 + 40.5845i −0.391132 + 1.45972i 0.437138 + 0.899394i \(0.355992\pi\)
−0.828270 + 0.560329i \(0.810675\pi\)