Properties

Label 273.2.cd.e.44.14
Level $273$
Weight $2$
Character 273.44
Analytic conductor $2.180$
Analytic rank $0$
Dimension $112$
CM no
Inner twists $8$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(112\)
Relative dimension: \(28\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 44.14
Character \(\chi\) \(=\) 273.44
Dual form 273.2.cd.e.242.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.246180 + 0.0659636i) q^{2} +(-0.753906 + 1.55937i) q^{3} +(-1.67580 + 0.967522i) q^{4} +(-2.71744 + 0.728135i) q^{5} +(0.0827348 - 0.433615i) q^{6} +(1.41179 - 2.23760i) q^{7} +(0.709158 - 0.709158i) q^{8} +(-1.86325 - 2.35123i) q^{9} +O(q^{10})\) \(q+(-0.246180 + 0.0659636i) q^{2} +(-0.753906 + 1.55937i) q^{3} +(-1.67580 + 0.967522i) q^{4} +(-2.71744 + 0.728135i) q^{5} +(0.0827348 - 0.433615i) q^{6} +(1.41179 - 2.23760i) q^{7} +(0.709158 - 0.709158i) q^{8} +(-1.86325 - 2.35123i) q^{9} +(0.620947 - 0.358504i) q^{10} +(3.10321 + 0.831504i) q^{11} +(-0.245328 - 3.34260i) q^{12} +(-3.47296 + 0.968803i) q^{13} +(-0.199953 + 0.643978i) q^{14} +(0.913262 - 4.78643i) q^{15} +(1.80724 - 3.13024i) q^{16} +(-3.96062 - 6.86000i) q^{17} +(0.613790 + 0.455919i) q^{18} +(-0.0189720 - 0.0708044i) q^{19} +(3.84939 - 3.84939i) q^{20} +(2.42488 + 3.88844i) q^{21} -0.818797 q^{22} +(-1.44544 + 2.50358i) q^{23} +(0.571199 + 1.64048i) q^{24} +(2.52416 - 1.45732i) q^{25} +(0.791065 - 0.467588i) q^{26} +(5.07115 - 1.13288i) q^{27} +(-0.200944 + 5.11570i) q^{28} +0.0351243i q^{29} +(0.0909036 + 1.23856i) q^{30} +(-8.23449 - 2.20642i) q^{31} +(-0.757564 + 2.82727i) q^{32} +(-3.63615 + 4.21217i) q^{33} +(1.42753 + 1.42753i) q^{34} +(-2.20717 + 7.10851i) q^{35} +(5.39730 + 2.13745i) q^{36} +(-8.86476 + 2.37531i) q^{37} +(0.00934103 + 0.0161791i) q^{38} +(1.10756 - 6.14600i) q^{39} +(-1.41073 + 2.44345i) q^{40} +(1.39282 + 1.39282i) q^{41} +(-0.853452 - 0.797300i) q^{42} +0.378909i q^{43} +(-6.00486 + 1.60900i) q^{44} +(6.77528 + 5.03263i) q^{45} +(0.190693 - 0.711676i) q^{46} +(0.516348 + 1.92704i) q^{47} +(3.51870 + 5.17806i) q^{48} +(-3.01371 - 6.31804i) q^{49} +(-0.525266 + 0.525266i) q^{50} +(13.6832 - 1.00427i) q^{51} +(4.88263 - 4.98368i) q^{52} +(5.88649 - 3.39856i) q^{53} +(-1.17368 + 0.613405i) q^{54} -9.03824 q^{55} +(-0.585631 - 2.58799i) q^{56} +(0.124713 + 0.0237956i) q^{57} +(-0.00231692 - 0.00864688i) q^{58} +(-8.27883 - 2.21831i) q^{59} +(3.10053 + 8.90469i) q^{60} +(-4.83406 + 8.37284i) q^{61} +2.17271 q^{62} +(-7.89163 + 0.849768i) q^{63} +6.48298i q^{64} +(8.73212 - 5.16144i) q^{65} +(0.617296 - 1.27681i) q^{66} +(-4.85879 - 1.30191i) q^{67} +(13.2744 + 7.66398i) q^{68} +(-2.81427 - 4.14143i) q^{69} +(0.0744576 - 1.89556i) q^{70} +(-1.74479 - 1.74479i) q^{71} +(-2.98873 - 0.346056i) q^{72} +(2.08150 - 7.76825i) q^{73} +(2.02564 - 1.16950i) q^{74} +(0.369524 + 5.03477i) q^{75} +(0.100298 + 0.100298i) q^{76} +(6.24166 - 5.76984i) q^{77} +(0.132753 + 1.58608i) q^{78} +(3.79033 - 6.56505i) q^{79} +(-2.63183 + 9.82214i) q^{80} +(-2.05659 + 8.76187i) q^{81} +(-0.434759 - 0.251008i) q^{82} +(-3.46542 - 3.46542i) q^{83} +(-7.82576 - 4.17010i) q^{84} +(15.7578 + 15.7578i) q^{85} +(-0.0249942 - 0.0932797i) q^{86} +(-0.0547716 - 0.0264804i) q^{87} +(2.79034 - 1.61100i) q^{88} +(3.92087 + 14.6329i) q^{89} +(-1.99991 - 0.792008i) q^{90} +(-2.73529 + 9.13883i) q^{91} -5.59398i q^{92} +(9.64866 - 11.1772i) q^{93} +(-0.254229 - 0.440337i) q^{94} +(0.103110 + 0.178592i) q^{95} +(-3.83762 - 3.31281i) q^{96} +(0.107635 - 0.107635i) q^{97} +(1.15867 + 1.35658i) q^{98} +(-3.82701 - 8.84568i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9} - 48 q^{13} - 12 q^{15} + 40 q^{16} - 26 q^{18} + 40 q^{19} - 10 q^{21} + 16 q^{22} + 32 q^{24} - 24 q^{27} - 52 q^{28} - 12 q^{31} - 44 q^{33} + 16 q^{34} - 8 q^{37} - 42 q^{39} - 160 q^{40} - 80 q^{42} + 6 q^{45} + 32 q^{46} + 72 q^{48} - 12 q^{52} + 34 q^{54} - 48 q^{55} - 24 q^{57} - 28 q^{58} + 44 q^{60} + 78 q^{63} + 4 q^{66} + 24 q^{67} - 12 q^{70} - 26 q^{72} - 40 q^{73} + 112 q^{76} + 32 q^{78} + 48 q^{79} + 128 q^{81} - 150 q^{84} + 160 q^{85} - 48 q^{87} + 24 q^{91} + 10 q^{93} - 8 q^{94} - 106 q^{96} + 56 q^{97} - 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.246180 + 0.0659636i −0.174075 + 0.0466433i −0.344804 0.938675i \(-0.612055\pi\)
0.170729 + 0.985318i \(0.445388\pi\)
\(3\) −0.753906 + 1.55937i −0.435268 + 0.900301i
\(4\) −1.67580 + 0.967522i −0.837899 + 0.483761i
\(5\) −2.71744 + 0.728135i −1.21527 + 0.325632i −0.808830 0.588043i \(-0.799899\pi\)
−0.406445 + 0.913675i \(0.633232\pi\)
\(6\) 0.0827348 0.433615i 0.0337763 0.177022i
\(7\) 1.41179 2.23760i 0.533606 0.845733i
\(8\) 0.709158 0.709158i 0.250725 0.250725i
\(9\) −1.86325 2.35123i −0.621084 0.783744i
\(10\) 0.620947 0.358504i 0.196361 0.113369i
\(11\) 3.10321 + 0.831504i 0.935654 + 0.250708i 0.694264 0.719720i \(-0.255730\pi\)
0.241390 + 0.970428i \(0.422397\pi\)
\(12\) −0.245328 3.34260i −0.0708202 0.964927i
\(13\) −3.47296 + 0.968803i −0.963225 + 0.268698i
\(14\) −0.199953 + 0.643978i −0.0534398 + 0.172110i
\(15\) 0.913262 4.78643i 0.235803 1.23585i
\(16\) 1.80724 3.13024i 0.451811 0.782559i
\(17\) −3.96062 6.86000i −0.960592 1.66379i −0.721018 0.692916i \(-0.756326\pi\)
−0.239574 0.970878i \(-0.577008\pi\)
\(18\) 0.613790 + 0.455919i 0.144672 + 0.107461i
\(19\) −0.0189720 0.0708044i −0.00435247 0.0162437i 0.963715 0.266932i \(-0.0860098\pi\)
−0.968068 + 0.250688i \(0.919343\pi\)
\(20\) 3.84939 3.84939i 0.860749 0.860749i
\(21\) 2.42488 + 3.88844i 0.529153 + 0.848526i
\(22\) −0.818797 −0.174568
\(23\) −1.44544 + 2.50358i −0.301395 + 0.522032i −0.976452 0.215734i \(-0.930786\pi\)
0.675057 + 0.737766i \(0.264119\pi\)
\(24\) 0.571199 + 1.64048i 0.116596 + 0.334861i
\(25\) 2.52416 1.45732i 0.504832 0.291465i
\(26\) 0.791065 0.467588i 0.155141 0.0917016i
\(27\) 5.07115 1.13288i 0.975943 0.218024i
\(28\) −0.200944 + 5.11570i −0.0379749 + 0.966777i
\(29\) 0.0351243i 0.00652242i 0.999995 + 0.00326121i \(0.00103808\pi\)
−0.999995 + 0.00326121i \(0.998962\pi\)
\(30\) 0.0909036 + 1.23856i 0.0165966 + 0.226130i
\(31\) −8.23449 2.20642i −1.47896 0.396286i −0.572966 0.819579i \(-0.694207\pi\)
−0.905992 + 0.423294i \(0.860874\pi\)
\(32\) −0.757564 + 2.82727i −0.133920 + 0.499795i
\(33\) −3.63615 + 4.21217i −0.632973 + 0.733245i
\(34\) 1.42753 + 1.42753i 0.244820 + 0.244820i
\(35\) −2.20717 + 7.10851i −0.373080 + 1.20156i
\(36\) 5.39730 + 2.13745i 0.899550 + 0.356242i
\(37\) −8.86476 + 2.37531i −1.45736 + 0.390498i −0.898576 0.438817i \(-0.855398\pi\)
−0.558781 + 0.829315i \(0.688731\pi\)
\(38\) 0.00934103 + 0.0161791i 0.00151532 + 0.00262460i
\(39\) 1.10756 6.14600i 0.177352 0.984147i
\(40\) −1.41073 + 2.44345i −0.223056 + 0.386344i
\(41\) 1.39282 + 1.39282i 0.217522 + 0.217522i 0.807453 0.589931i \(-0.200845\pi\)
−0.589931 + 0.807453i \(0.700845\pi\)
\(42\) −0.853452 0.797300i −0.131691 0.123026i
\(43\) 0.378909i 0.0577831i 0.999583 + 0.0288916i \(0.00919775\pi\)
−0.999583 + 0.0288916i \(0.990802\pi\)
\(44\) −6.00486 + 1.60900i −0.905266 + 0.242565i
\(45\) 6.77528 + 5.03263i 1.01000 + 0.750220i
\(46\) 0.190693 0.711676i 0.0281162 0.104931i
\(47\) 0.516348 + 1.92704i 0.0753171 + 0.281087i 0.993305 0.115521i \(-0.0368538\pi\)
−0.917988 + 0.396608i \(0.870187\pi\)
\(48\) 3.51870 + 5.17806i 0.507880 + 0.747388i
\(49\) −3.01371 6.31804i −0.430529 0.902577i
\(50\) −0.525266 + 0.525266i −0.0742838 + 0.0742838i
\(51\) 13.6832 1.00427i 1.91603 0.140626i
\(52\) 4.88263 4.98368i 0.677099 0.691112i
\(53\) 5.88649 3.39856i 0.808571 0.466829i −0.0378884 0.999282i \(-0.512063\pi\)
0.846459 + 0.532453i \(0.178730\pi\)
\(54\) −1.17368 + 0.613405i −0.159718 + 0.0834738i
\(55\) −9.03824 −1.21872
\(56\) −0.585631 2.58799i −0.0782582 0.345835i
\(57\) 0.124713 + 0.0237956i 0.0165187 + 0.00315180i
\(58\) −0.00231692 0.00864688i −0.000304227 0.00113539i
\(59\) −8.27883 2.21831i −1.07781 0.288799i −0.324113 0.946018i \(-0.605066\pi\)
−0.753699 + 0.657219i \(0.771732\pi\)
\(60\) 3.10053 + 8.90469i 0.400277 + 1.14959i
\(61\) −4.83406 + 8.37284i −0.618938 + 1.07203i 0.370741 + 0.928736i \(0.379104\pi\)
−0.989680 + 0.143297i \(0.954230\pi\)
\(62\) 2.17271 0.275934
\(63\) −7.89163 + 0.849768i −0.994252 + 0.107061i
\(64\) 6.48298i 0.810373i
\(65\) 8.73212 5.16144i 1.08309 0.640198i
\(66\) 0.617296 1.27681i 0.0759839 0.157164i
\(67\) −4.85879 1.30191i −0.593595 0.159053i −0.0504994 0.998724i \(-0.516081\pi\)
−0.543096 + 0.839671i \(0.682748\pi\)
\(68\) 13.2744 + 7.66398i 1.60976 + 0.929394i
\(69\) −2.81427 4.14143i −0.338798 0.498570i
\(70\) 0.0744576 1.89556i 0.00889938 0.226563i
\(71\) −1.74479 1.74479i −0.207068 0.207068i 0.595952 0.803020i \(-0.296775\pi\)
−0.803020 + 0.595952i \(0.796775\pi\)
\(72\) −2.98873 0.346056i −0.352226 0.0407830i
\(73\) 2.08150 7.76825i 0.243621 0.909205i −0.730451 0.682965i \(-0.760690\pi\)
0.974072 0.226240i \(-0.0726433\pi\)
\(74\) 2.02564 1.16950i 0.235476 0.135952i
\(75\) 0.369524 + 5.03477i 0.0426690 + 0.581366i
\(76\) 0.100298 + 0.100298i 0.0115050 + 0.0115050i
\(77\) 6.24166 5.76984i 0.711303 0.657535i
\(78\) 0.132753 + 1.58608i 0.0150313 + 0.179588i
\(79\) 3.79033 6.56505i 0.426446 0.738626i −0.570108 0.821569i \(-0.693099\pi\)
0.996554 + 0.0829437i \(0.0264322\pi\)
\(80\) −2.63183 + 9.82214i −0.294248 + 1.09815i
\(81\) −2.05659 + 8.76187i −0.228510 + 0.973542i
\(82\) −0.434759 0.251008i −0.0480111 0.0277192i
\(83\) −3.46542 3.46542i −0.380379 0.380379i 0.490860 0.871239i \(-0.336683\pi\)
−0.871239 + 0.490860i \(0.836683\pi\)
\(84\) −7.82576 4.17010i −0.853861 0.454996i
\(85\) 15.7578 + 15.7578i 1.70917 + 1.70917i
\(86\) −0.0249942 0.0932797i −0.00269520 0.0100586i
\(87\) −0.0547716 0.0264804i −0.00587214 0.00283900i
\(88\) 2.79034 1.61100i 0.297451 0.171733i
\(89\) 3.92087 + 14.6329i 0.415611 + 1.55108i 0.783608 + 0.621255i \(0.213377\pi\)
−0.367997 + 0.929827i \(0.619956\pi\)
\(90\) −1.99991 0.792008i −0.210809 0.0834850i
\(91\) −2.73529 + 9.13883i −0.286736 + 0.958010i
\(92\) 5.59398i 0.583213i
\(93\) 9.64866 11.1772i 1.00052 1.15902i
\(94\) −0.254229 0.440337i −0.0262217 0.0454173i
\(95\) 0.103110 + 0.178592i 0.0105789 + 0.0183232i
\(96\) −3.83762 3.31281i −0.391675 0.338113i
\(97\) 0.107635 0.107635i 0.0109287 0.0109287i −0.701621 0.712550i \(-0.747540\pi\)
0.712550 + 0.701621i \(0.247540\pi\)
\(98\) 1.15867 + 1.35658i 0.117044 + 0.137035i
\(99\) −3.82701 8.84568i −0.384629 0.889024i
\(100\) −2.81999 + 4.88436i −0.281999 + 0.488436i
\(101\) 4.49533 + 7.78613i 0.447302 + 0.774749i 0.998209 0.0598169i \(-0.0190517\pi\)
−0.550908 + 0.834566i \(0.685718\pi\)
\(102\) −3.30228 + 1.14982i −0.326974 + 0.113850i
\(103\) −4.35494 2.51432i −0.429105 0.247744i 0.269860 0.962899i \(-0.413022\pi\)
−0.698965 + 0.715156i \(0.746356\pi\)
\(104\) −1.77584 + 3.14991i −0.174135 + 0.308874i
\(105\) −9.42078 8.80094i −0.919374 0.858884i
\(106\) −1.22495 + 1.22495i −0.118978 + 0.118978i
\(107\) −2.16952 1.25257i −0.209735 0.121091i 0.391453 0.920198i \(-0.371972\pi\)
−0.601188 + 0.799107i \(0.705306\pi\)
\(108\) −7.40213 + 6.80494i −0.712270 + 0.654805i
\(109\) 12.6799 + 3.39756i 1.21451 + 0.325427i 0.808530 0.588455i \(-0.200264\pi\)
0.405980 + 0.913882i \(0.366930\pi\)
\(110\) 2.22503 0.596195i 0.212148 0.0568450i
\(111\) 2.97922 15.6142i 0.282775 1.48203i
\(112\) −4.45277 8.46312i −0.420747 0.799690i
\(113\) 7.91460i 0.744543i −0.928124 0.372272i \(-0.878579\pi\)
0.928124 0.372272i \(-0.121421\pi\)
\(114\) −0.0322715 + 0.00236855i −0.00302250 + 0.000221835i
\(115\) 2.10495 7.85579i 0.196288 0.732556i
\(116\) −0.0339835 0.0588612i −0.00315529 0.00546512i
\(117\) 8.74887 + 6.36060i 0.808833 + 0.588038i
\(118\) 2.18441 0.201091
\(119\) −20.9415 0.822580i −1.91970 0.0754058i
\(120\) −2.74669 4.04198i −0.250737 0.368981i
\(121\) −0.587739 0.339331i −0.0534308 0.0308483i
\(122\) 0.637745 2.38010i 0.0577387 0.215484i
\(123\) −3.22197 + 1.12186i −0.290515 + 0.101155i
\(124\) 15.9341 4.26953i 1.43092 0.383415i
\(125\) 4.14840 4.14840i 0.371044 0.371044i
\(126\) 1.88671 0.729756i 0.168081 0.0650119i
\(127\) 2.97209i 0.263730i 0.991268 + 0.131865i \(0.0420966\pi\)
−0.991268 + 0.131865i \(0.957903\pi\)
\(128\) −1.94277 7.25051i −0.171718 0.640861i
\(129\) −0.590859 0.285662i −0.0520222 0.0251511i
\(130\) −1.80920 + 1.84664i −0.158678 + 0.161961i
\(131\) −13.0495 7.53413i −1.14014 0.658260i −0.193675 0.981066i \(-0.562041\pi\)
−0.946465 + 0.322806i \(0.895374\pi\)
\(132\) 2.01808 10.5768i 0.175651 0.920593i
\(133\) −0.185216 0.0575092i −0.0160603 0.00498668i
\(134\) 1.28201 0.110749
\(135\) −12.9556 + 6.77103i −1.11504 + 0.582757i
\(136\) −7.67353 2.05612i −0.658000 0.176310i
\(137\) −13.7675 3.68900i −1.17624 0.315173i −0.382807 0.923829i \(-0.625042\pi\)
−0.793434 + 0.608656i \(0.791709\pi\)
\(138\) 0.966000 + 0.833897i 0.0822314 + 0.0709861i
\(139\) 16.5108 1.40042 0.700212 0.713935i \(-0.253089\pi\)
0.700212 + 0.713935i \(0.253089\pi\)
\(140\) −3.17887 14.0479i −0.268663 1.18727i
\(141\) −3.39424 0.647629i −0.285846 0.0545402i
\(142\) 0.544624 + 0.314439i 0.0457038 + 0.0263871i
\(143\) −11.5829 + 0.118628i −0.968610 + 0.00992019i
\(144\) −10.7273 + 1.58317i −0.893938 + 0.131931i
\(145\) −0.0255752 0.0954480i −0.00212391 0.00792653i
\(146\) 2.04969i 0.169633i
\(147\) 12.1242 + 0.0637310i 0.999986 + 0.00525645i
\(148\) 12.5574 12.5574i 1.03221 1.03221i
\(149\) −9.06680 + 2.42944i −0.742781 + 0.199028i −0.610314 0.792160i \(-0.708957\pi\)
−0.132467 + 0.991187i \(0.542290\pi\)
\(150\) −0.423081 1.21508i −0.0345444 0.0992112i
\(151\) −2.42619 + 9.05465i −0.197440 + 0.736857i 0.794181 + 0.607681i \(0.207900\pi\)
−0.991622 + 0.129176i \(0.958767\pi\)
\(152\) −0.0636657 0.0367574i −0.00516397 0.00298142i
\(153\) −8.74982 + 22.0942i −0.707381 + 1.78621i
\(154\) −1.15597 + 1.83214i −0.0931506 + 0.147638i
\(155\) 23.9833 1.92638
\(156\) 4.09034 + 11.3710i 0.327489 + 0.910412i
\(157\) 1.34007 + 2.32108i 0.106950 + 0.185242i 0.914533 0.404511i \(-0.132558\pi\)
−0.807583 + 0.589753i \(0.799225\pi\)
\(158\) −0.500048 + 1.86621i −0.0397817 + 0.148467i
\(159\) 0.861752 + 11.7414i 0.0683414 + 0.931153i
\(160\) 8.23453i 0.650997i
\(161\) 3.56135 + 6.76884i 0.280673 + 0.533459i
\(162\) −0.0716749 2.29265i −0.00563131 0.180128i
\(163\) −2.23644 + 0.599253i −0.175172 + 0.0469372i −0.345339 0.938478i \(-0.612236\pi\)
0.170167 + 0.985415i \(0.445569\pi\)
\(164\) −3.68167 0.986500i −0.287490 0.0770327i
\(165\) 6.81398 14.0939i 0.530468 1.09721i
\(166\) 1.08171 + 0.624523i 0.0839567 + 0.0484724i
\(167\) −13.5165 + 13.5165i −1.04594 + 1.04594i −0.0470461 + 0.998893i \(0.514981\pi\)
−0.998893 + 0.0470461i \(0.985019\pi\)
\(168\) 4.47714 + 1.03789i 0.345419 + 0.0800750i
\(169\) 11.1228 6.72922i 0.855603 0.517632i
\(170\) −4.91867 2.83980i −0.377245 0.217803i
\(171\) −0.131128 + 0.176534i −0.0100276 + 0.0134999i
\(172\) −0.366603 0.634975i −0.0279532 0.0484164i
\(173\) −8.51466 + 14.7478i −0.647358 + 1.12126i 0.336394 + 0.941721i \(0.390793\pi\)
−0.983752 + 0.179535i \(0.942541\pi\)
\(174\) 0.0152304 + 0.00290600i 0.00115461 + 0.000220303i
\(175\) 0.302671 7.70549i 0.0228798 0.582480i
\(176\) 8.21107 8.21107i 0.618932 0.618932i
\(177\) 9.70062 11.2373i 0.729143 0.844651i
\(178\) −1.93048 3.34368i −0.144695 0.250619i
\(179\) −6.29452 10.9024i −0.470474 0.814886i 0.528955 0.848650i \(-0.322584\pi\)
−0.999430 + 0.0337640i \(0.989251\pi\)
\(180\) −16.2232 1.87843i −1.20920 0.140010i
\(181\) 11.8729i 0.882509i 0.897382 + 0.441255i \(0.145466\pi\)
−0.897382 + 0.441255i \(0.854534\pi\)
\(182\) 0.0705410 2.43022i 0.00522885 0.180140i
\(183\) −9.41191 13.8504i −0.695748 1.02385i
\(184\) 0.750386 + 2.80048i 0.0553192 + 0.206454i
\(185\) 22.3599 12.9095i 1.64393 0.949124i
\(186\) −1.63802 + 3.38805i −0.120105 + 0.248424i
\(187\) −6.58654 24.5813i −0.481656 1.79756i
\(188\) −2.72975 2.72975i −0.199087 0.199087i
\(189\) 4.62445 12.9466i 0.336379 0.941727i
\(190\) −0.0371643 0.0371643i −0.00269618 0.00269618i
\(191\) 18.3898 + 10.6174i 1.33064 + 0.768246i 0.985398 0.170267i \(-0.0544632\pi\)
0.345243 + 0.938513i \(0.387797\pi\)
\(192\) −10.1094 4.88756i −0.729580 0.352729i
\(193\) −1.57794 + 5.88894i −0.113582 + 0.423895i −0.999177 0.0405640i \(-0.987085\pi\)
0.885595 + 0.464459i \(0.153751\pi\)
\(194\) −0.0193976 + 0.0335976i −0.00139266 + 0.00241217i
\(195\) 1.46539 + 17.5078i 0.104939 + 1.25376i
\(196\) 11.1632 + 7.67192i 0.797372 + 0.547994i
\(197\) −3.24256 3.24256i −0.231023 0.231023i 0.582097 0.813120i \(-0.302233\pi\)
−0.813120 + 0.582097i \(0.802233\pi\)
\(198\) 1.52562 + 1.92518i 0.108421 + 0.136817i
\(199\) 0.250546 0.144653i 0.0177607 0.0102542i −0.491093 0.871107i \(-0.663403\pi\)
0.508854 + 0.860853i \(0.330069\pi\)
\(200\) 0.756554 2.82350i 0.0534965 0.199652i
\(201\) 5.69322 6.59512i 0.401569 0.465184i
\(202\) −1.62026 1.62026i −0.114001 0.114001i
\(203\) 0.0785941 + 0.0495881i 0.00551622 + 0.00348040i
\(204\) −21.9586 + 14.9217i −1.53741 + 1.04473i
\(205\) −4.79906 2.77074i −0.335181 0.193517i
\(206\) 1.23795 + 0.331708i 0.0862521 + 0.0231112i
\(207\) 8.57971 1.26623i 0.596331 0.0880088i
\(208\) −3.24389 + 12.6220i −0.224923 + 0.875181i
\(209\) 0.235497i 0.0162896i
\(210\) 2.89975 + 1.54518i 0.200101 + 0.106628i
\(211\) 0.580776 0.0399822 0.0199911 0.999800i \(-0.493636\pi\)
0.0199911 + 0.999800i \(0.493636\pi\)
\(212\) −6.57637 + 11.3906i −0.451667 + 0.782310i
\(213\) 4.03617 1.40536i 0.276554 0.0962936i
\(214\) 0.616715 + 0.165248i 0.0421577 + 0.0112961i
\(215\) −0.275897 1.02966i −0.0188160 0.0702224i
\(216\) 2.79285 4.39964i 0.190030 0.299358i
\(217\) −16.5625 + 15.3105i −1.12433 + 1.03934i
\(218\) −3.34564 −0.226595
\(219\) 10.5443 + 9.10235i 0.712518 + 0.615080i
\(220\) 15.1463 8.74470i 1.02116 0.589567i
\(221\) 20.4011 + 19.9874i 1.37232 + 1.34450i
\(222\) 0.296543 + 4.04041i 0.0199027 + 0.271175i
\(223\) −0.0823082 + 0.0823082i −0.00551176 + 0.00551176i −0.709857 0.704346i \(-0.751241\pi\)
0.704346 + 0.709857i \(0.251241\pi\)
\(224\) 5.25677 + 5.68663i 0.351233 + 0.379954i
\(225\) −8.12965 3.21952i −0.541977 0.214635i
\(226\) 0.522076 + 1.94841i 0.0347280 + 0.129607i
\(227\) −1.82108 + 6.79638i −0.120870 + 0.451091i −0.999659 0.0261186i \(-0.991685\pi\)
0.878789 + 0.477210i \(0.158352\pi\)
\(228\) −0.232017 + 0.0807862i −0.0153657 + 0.00535020i
\(229\) 2.32688 0.623485i 0.153764 0.0412010i −0.181116 0.983462i \(-0.557971\pi\)
0.334880 + 0.942261i \(0.391304\pi\)
\(230\) 2.07279i 0.136675i
\(231\) 4.29168 + 14.0830i 0.282372 + 0.926590i
\(232\) 0.0249087 + 0.0249087i 0.00163533 + 0.00163533i
\(233\) 11.7794 20.4025i 0.771693 1.33661i −0.164942 0.986303i \(-0.552744\pi\)
0.936635 0.350308i \(-0.113923\pi\)
\(234\) −2.57336 0.988743i −0.168226 0.0646362i
\(235\) −2.80629 4.86063i −0.183062 0.317073i
\(236\) 16.0199 4.29252i 1.04281 0.279419i
\(237\) 7.37977 + 10.8600i 0.479367 + 0.705430i
\(238\) 5.20963 1.17887i 0.337690 0.0764151i
\(239\) −1.35327 1.35327i −0.0875359 0.0875359i 0.661983 0.749519i \(-0.269715\pi\)
−0.749519 + 0.661983i \(0.769715\pi\)
\(240\) −13.3322 11.5090i −0.860587 0.742901i
\(241\) −4.54834 + 16.9746i −0.292984 + 1.09343i 0.649820 + 0.760088i \(0.274844\pi\)
−0.942805 + 0.333345i \(0.891823\pi\)
\(242\) 0.167073 + 0.0447671i 0.0107399 + 0.00287774i
\(243\) −12.1125 9.81261i −0.777018 0.629479i
\(244\) 18.7083i 1.19767i
\(245\) 12.7899 + 14.9745i 0.817119 + 0.956685i
\(246\) 0.719182 0.488713i 0.0458534 0.0311592i
\(247\) 0.134484 + 0.227521i 0.00855704 + 0.0144768i
\(248\) −7.40426 + 4.27485i −0.470171 + 0.271453i
\(249\) 8.01645 2.79126i 0.508022 0.176889i
\(250\) −0.747607 + 1.29489i −0.0472828 + 0.0818963i
\(251\) 21.1871 1.33732 0.668659 0.743569i \(-0.266869\pi\)
0.668659 + 0.743569i \(0.266869\pi\)
\(252\) 12.4026 9.05937i 0.781291 0.570687i
\(253\) −6.56725 + 6.56725i −0.412879 + 0.412879i
\(254\) −0.196050 0.731668i −0.0123013 0.0459090i
\(255\) −36.4520 + 12.6923i −2.28271 + 0.794820i
\(256\) −5.52644 9.57208i −0.345403 0.598255i
\(257\) 8.39438 14.5395i 0.523627 0.906949i −0.475995 0.879448i \(-0.657912\pi\)
0.999622 0.0275005i \(-0.00875479\pi\)
\(258\) 0.164301 + 0.0313490i 0.0102289 + 0.00195170i
\(259\) −7.20018 + 23.1892i −0.447398 + 1.44091i
\(260\) −9.63945 + 17.0981i −0.597814 + 1.06038i
\(261\) 0.0825854 0.0654454i 0.00511190 0.00405097i
\(262\) 3.70950 + 0.993957i 0.229174 + 0.0614069i
\(263\) −23.2847 + 13.4435i −1.43580 + 0.828959i −0.997554 0.0698972i \(-0.977733\pi\)
−0.438244 + 0.898856i \(0.644400\pi\)
\(264\) 0.408491 + 5.56570i 0.0251409 + 0.342545i
\(265\) −13.5215 + 13.5215i −0.830622 + 0.830622i
\(266\) 0.0493900 + 0.00194004i 0.00302830 + 0.000118951i
\(267\) −25.7740 4.91774i −1.57734 0.300961i
\(268\) 9.40197 2.51925i 0.574317 0.153888i
\(269\) 15.2291 8.79254i 0.928536 0.536091i 0.0421879 0.999110i \(-0.486567\pi\)
0.886348 + 0.463019i \(0.153234\pi\)
\(270\) 2.74277 2.52149i 0.166920 0.153453i
\(271\) 9.54880 2.55859i 0.580048 0.155424i 0.0431474 0.999069i \(-0.486261\pi\)
0.536901 + 0.843645i \(0.319595\pi\)
\(272\) −28.6312 −1.73602
\(273\) −12.1886 11.1551i −0.737690 0.675139i
\(274\) 3.63263 0.219455
\(275\) 9.04477 2.42354i 0.545420 0.146145i
\(276\) 8.72308 + 4.21734i 0.525067 + 0.253854i
\(277\) 6.45680 3.72783i 0.387951 0.223984i −0.293321 0.956014i \(-0.594760\pi\)
0.681272 + 0.732030i \(0.261427\pi\)
\(278\) −4.06461 + 1.08911i −0.243779 + 0.0653205i
\(279\) 10.1551 + 23.4723i 0.607970 + 1.40525i
\(280\) 3.47582 + 6.60629i 0.207720 + 0.394801i
\(281\) −16.7345 + 16.7345i −0.998296 + 0.998296i −0.999999 0.00170209i \(-0.999458\pi\)
0.00170209 + 0.999999i \(0.499458\pi\)
\(282\) 0.878312 0.0644632i 0.0523027 0.00383873i
\(283\) 21.7494 12.5570i 1.29287 0.746438i 0.313707 0.949520i \(-0.398429\pi\)
0.979162 + 0.203082i \(0.0650957\pi\)
\(284\) 4.61203 + 1.23579i 0.273674 + 0.0733307i
\(285\) −0.356227 + 0.0261450i −0.0211011 + 0.00154870i
\(286\) 2.84365 0.793253i 0.168148 0.0469060i
\(287\) 5.08294 1.15021i 0.300036 0.0678945i
\(288\) 8.05910 3.48670i 0.474887 0.205456i
\(289\) −22.8731 + 39.6173i −1.34547 + 2.33043i
\(290\) 0.0125922 + 0.0218103i 0.000739439 + 0.00128075i
\(291\) 0.0866959 + 0.248989i 0.00508220 + 0.0145960i
\(292\) 4.02779 + 15.0319i 0.235708 + 0.879676i
\(293\) 8.13360 8.13360i 0.475170 0.475170i −0.428413 0.903583i \(-0.640927\pi\)
0.903583 + 0.428413i \(0.140927\pi\)
\(294\) −2.98893 + 0.784066i −0.174318 + 0.0457277i
\(295\) 24.1124 1.40388
\(296\) −4.60205 + 7.97098i −0.267489 + 0.463304i
\(297\) 16.6789 + 0.701098i 0.967806 + 0.0406818i
\(298\) 2.07181 1.19616i 0.120017 0.0692916i
\(299\) 2.59448 10.0952i 0.150043 0.583818i
\(300\) −5.49050 8.07974i −0.316994 0.466484i
\(301\) 0.847847 + 0.534940i 0.0488691 + 0.0308334i
\(302\) 2.38911i 0.137478i
\(303\) −15.5305 + 1.13985i −0.892204 + 0.0654827i
\(304\) −0.255922 0.0685740i −0.0146781 0.00393299i
\(305\) 7.03970 26.2725i 0.403092 1.50436i
\(306\) 0.696610 6.01632i 0.0398225 0.343930i
\(307\) −14.1383 14.1383i −0.806918 0.806918i 0.177248 0.984166i \(-0.443280\pi\)
−0.984166 + 0.177248i \(0.943280\pi\)
\(308\) −4.87730 + 15.7080i −0.277910 + 0.895048i
\(309\) 7.20397 4.89538i 0.409819 0.278488i
\(310\) −5.90420 + 1.58202i −0.335336 + 0.0898530i
\(311\) 10.1078 + 17.5072i 0.573160 + 0.992743i 0.996239 + 0.0866500i \(0.0276162\pi\)
−0.423078 + 0.906093i \(0.639050\pi\)
\(312\) −3.57305 5.14392i −0.202284 0.291217i
\(313\) 13.0051 22.5254i 0.735090 1.27321i −0.219594 0.975591i \(-0.570473\pi\)
0.954684 0.297621i \(-0.0961933\pi\)
\(314\) −0.483006 0.483006i −0.0272576 0.0272576i
\(315\) 20.8263 8.05537i 1.17343 0.453869i
\(316\) 14.6689i 0.825192i
\(317\) −6.64679 + 1.78100i −0.373321 + 0.100031i −0.440601 0.897703i \(-0.645235\pi\)
0.0672799 + 0.997734i \(0.478568\pi\)
\(318\) −0.986650 2.83365i −0.0553286 0.158903i
\(319\) −0.0292060 + 0.108998i −0.00163522 + 0.00610273i
\(320\) −4.72049 17.6171i −0.263883 0.984826i
\(321\) 3.58883 2.43875i 0.200309 0.136118i
\(322\) −1.32323 1.43143i −0.0737406 0.0797705i
\(323\) −0.410577 + 0.410577i −0.0228451 + 0.0228451i
\(324\) −5.03088 16.6729i −0.279493 0.926274i
\(325\) −7.35443 + 7.50663i −0.407950 + 0.416393i
\(326\) 0.511038 0.295048i 0.0283038 0.0163412i
\(327\) −14.8575 + 17.2111i −0.821619 + 0.951776i
\(328\) 1.97546 0.109076
\(329\) 5.04091 + 1.56519i 0.277915 + 0.0862917i
\(330\) −0.747777 + 3.91911i −0.0411637 + 0.215740i
\(331\) −2.93997 10.9721i −0.161595 0.603082i −0.998450 0.0556568i \(-0.982275\pi\)
0.836855 0.547425i \(-0.184392\pi\)
\(332\) 9.16020 + 2.45447i 0.502731 + 0.134706i
\(333\) 22.1022 + 16.4173i 1.21119 + 0.899664i
\(334\) 2.43589 4.21909i 0.133286 0.230858i
\(335\) 14.1514 0.773174
\(336\) 16.5541 0.563110i 0.903099 0.0307202i
\(337\) 0.687884i 0.0374714i 0.999824 + 0.0187357i \(0.00596411\pi\)
−0.999824 + 0.0187357i \(0.994036\pi\)
\(338\) −2.29433 + 2.39030i −0.124795 + 0.130015i
\(339\) 12.3418 + 5.96687i 0.670313 + 0.324076i
\(340\) −41.6528 11.1608i −2.25894 0.605281i
\(341\) −23.7187 13.6940i −1.28444 0.741573i
\(342\) 0.0206362 0.0521088i 0.00111588 0.00281772i
\(343\) −18.3920 2.17626i −0.993072 0.117507i
\(344\) 0.268706 + 0.268706i 0.0144877 + 0.0144877i
\(345\) 10.6631 + 9.20492i 0.574083 + 0.495576i
\(346\) 1.12332 4.19227i 0.0603899 0.225378i
\(347\) −1.84737 + 1.06658i −0.0991719 + 0.0572569i −0.548766 0.835976i \(-0.684902\pi\)
0.449594 + 0.893233i \(0.351569\pi\)
\(348\) 0.117407 0.00861698i 0.00629365 0.000461919i
\(349\) −18.9392 18.9392i −1.01379 1.01379i −0.999904 0.0138872i \(-0.995579\pi\)
−0.0138872 0.999904i \(-0.504421\pi\)
\(350\) 0.433771 + 1.91690i 0.0231860 + 0.102463i
\(351\) −16.5143 + 8.84740i −0.881470 + 0.472240i
\(352\) −4.70177 + 8.14370i −0.250605 + 0.434061i
\(353\) 3.14604 11.7412i 0.167447 0.624920i −0.830269 0.557363i \(-0.811813\pi\)
0.997715 0.0675566i \(-0.0215203\pi\)
\(354\) −1.64684 + 3.40629i −0.0875284 + 0.181042i
\(355\) 6.01179 + 3.47091i 0.319073 + 0.184217i
\(356\) −20.7282 20.7282i −1.09859 1.09859i
\(357\) 17.0706 32.0353i 0.903473 1.69549i
\(358\) 2.26875 + 2.26875i 0.119907 + 0.119907i
\(359\) 1.51841 + 5.66678i 0.0801385 + 0.299081i 0.994349 0.106158i \(-0.0338550\pi\)
−0.914211 + 0.405239i \(0.867188\pi\)
\(360\) 8.37367 1.23582i 0.441331 0.0651333i
\(361\) 16.4498 9.49731i 0.865780 0.499859i
\(362\) −0.783183 2.92288i −0.0411632 0.153623i
\(363\) 0.972242 0.660677i 0.0510295 0.0346766i
\(364\) −4.25824 17.9613i −0.223192 0.941427i
\(365\) 22.6253i 1.18426i
\(366\) 3.23064 + 2.78885i 0.168868 + 0.145775i
\(367\) −15.9432 27.6144i −0.832228 1.44146i −0.896268 0.443513i \(-0.853732\pi\)
0.0640399 0.997947i \(-0.479602\pi\)
\(368\) 5.22453 + 9.04914i 0.272347 + 0.471719i
\(369\) 0.679670 5.87002i 0.0353822 0.305581i
\(370\) −4.65299 + 4.65299i −0.241897 + 0.241897i
\(371\) 0.705847 17.9697i 0.0366457 0.932938i
\(372\) −5.35505 + 28.0659i −0.277647 + 1.45515i
\(373\) 4.21830 7.30631i 0.218415 0.378307i −0.735908 0.677081i \(-0.763245\pi\)
0.954324 + 0.298775i \(0.0965779\pi\)
\(374\) 3.24295 + 5.61695i 0.167689 + 0.290445i
\(375\) 3.34137 + 9.59638i 0.172548 + 0.495555i
\(376\) 1.73275 + 1.00040i 0.0893596 + 0.0515918i
\(377\) −0.0340285 0.121985i −0.00175256 0.00628255i
\(378\) −0.284441 + 3.49223i −0.0146301 + 0.179621i
\(379\) −9.76263 + 9.76263i −0.501473 + 0.501473i −0.911895 0.410423i \(-0.865381\pi\)
0.410423 + 0.911895i \(0.365381\pi\)
\(380\) −0.345584 0.199523i −0.0177281 0.0102353i
\(381\) −4.63458 2.24068i −0.237437 0.114793i
\(382\) −5.22756 1.40072i −0.267465 0.0716671i
\(383\) 4.70284 1.26012i 0.240304 0.0643892i −0.136657 0.990618i \(-0.543636\pi\)
0.376961 + 0.926229i \(0.376969\pi\)
\(384\) 12.7709 + 2.43672i 0.651711 + 0.124348i
\(385\) −12.7601 + 20.2240i −0.650314 + 1.03071i
\(386\) 1.55382i 0.0790875i
\(387\) 0.890904 0.706003i 0.0452872 0.0358882i
\(388\) −0.0762353 + 0.284514i −0.00387026 + 0.0144440i
\(389\) −12.7346 22.0570i −0.645670 1.11833i −0.984146 0.177358i \(-0.943245\pi\)
0.338476 0.940975i \(-0.390088\pi\)
\(390\) −1.51563 4.21341i −0.0767468 0.213354i
\(391\) 22.8994 1.15807
\(392\) −6.61768 2.34329i −0.334243 0.118354i
\(393\) 21.5866 14.6689i 1.08890 0.739950i
\(394\) 1.01214 + 0.584362i 0.0509911 + 0.0294397i
\(395\) −5.51975 + 20.6000i −0.277729 + 1.03650i
\(396\) 14.9717 + 11.1209i 0.752355 + 0.558844i
\(397\) 4.20331 1.12627i 0.210958 0.0565260i −0.151792 0.988412i \(-0.548504\pi\)
0.362750 + 0.931886i \(0.381838\pi\)
\(398\) −0.0521374 + 0.0521374i −0.00261341 + 0.00261341i
\(399\) 0.229314 0.245464i 0.0114800 0.0122886i
\(400\) 10.5350i 0.526748i
\(401\) −8.64026 32.2459i −0.431474 1.61028i −0.749366 0.662156i \(-0.769641\pi\)
0.317891 0.948127i \(-0.397025\pi\)
\(402\) −0.966517 + 1.99913i −0.0482055 + 0.0997075i
\(403\) 30.7356 0.314784i 1.53105 0.0156805i
\(404\) −15.0665 8.69866i −0.749587 0.432774i
\(405\) −0.791178 25.3073i −0.0393140 1.25753i
\(406\) −0.0226193 0.00702322i −0.00112258 0.000348556i
\(407\) −29.4843 −1.46148
\(408\) 8.99136 10.4157i 0.445139 0.515655i
\(409\) −7.41551 1.98698i −0.366674 0.0982499i 0.0707774 0.997492i \(-0.477452\pi\)
−0.437451 + 0.899242i \(0.644119\pi\)
\(410\) 1.36420 + 0.365536i 0.0673730 + 0.0180525i
\(411\) 16.1319 18.6875i 0.795730 0.921786i
\(412\) 9.73066 0.479395
\(413\) −16.6516 + 15.3929i −0.819374 + 0.757437i
\(414\) −2.02863 + 0.877668i −0.0997015 + 0.0431350i
\(415\) 11.9403 + 6.89376i 0.586128 + 0.338401i
\(416\) −0.108080 10.5529i −0.00529903 0.517399i
\(417\) −12.4476 + 25.7463i −0.609560 + 1.26080i
\(418\) 0.0155342 + 0.0579745i 0.000759803 + 0.00283562i
\(419\) 18.1984i 0.889049i 0.895767 + 0.444525i \(0.146627\pi\)
−0.895767 + 0.444525i \(0.853373\pi\)
\(420\) 24.3024 + 5.63378i 1.18584 + 0.274900i
\(421\) −15.6859 + 15.6859i −0.764486 + 0.764486i −0.977130 0.212644i \(-0.931793\pi\)
0.212644 + 0.977130i \(0.431793\pi\)
\(422\) −0.142975 + 0.0383101i −0.00695992 + 0.00186491i
\(423\) 3.56883 4.80461i 0.173522 0.233608i
\(424\) 1.76433 6.58457i 0.0856834 0.319775i
\(425\) −19.9945 11.5438i −0.969875 0.559957i
\(426\) −0.900921 + 0.612211i −0.0436497 + 0.0296617i
\(427\) 11.9104 + 22.6374i 0.576385 + 1.09550i
\(428\) 4.84756 0.234316
\(429\) 8.54742 18.1514i 0.412674 0.876358i
\(430\) 0.135840 + 0.235283i 0.00655081 + 0.0113463i
\(431\) −0.978180 + 3.65062i −0.0471173 + 0.175844i −0.985475 0.169823i \(-0.945681\pi\)
0.938357 + 0.345667i \(0.112347\pi\)
\(432\) 5.61860 17.9213i 0.270325 0.862239i
\(433\) 11.0265i 0.529899i −0.964262 0.264949i \(-0.914645\pi\)
0.964262 0.264949i \(-0.0853553\pi\)
\(434\) 3.06740 4.86165i 0.147240 0.233367i
\(435\) 0.168120 + 0.0320777i 0.00806073 + 0.00153801i
\(436\) −24.5361 + 6.57442i −1.17507 + 0.314858i
\(437\) 0.204687 + 0.0548458i 0.00979152 + 0.00262363i
\(438\) −3.19622 1.54527i −0.152721 0.0738359i
\(439\) −23.7490 13.7115i −1.13348 0.654415i −0.188672 0.982040i \(-0.560418\pi\)
−0.944808 + 0.327625i \(0.893752\pi\)
\(440\) −6.40954 + 6.40954i −0.305563 + 0.305563i
\(441\) −9.23988 + 18.8580i −0.439994 + 0.898001i
\(442\) −6.34077 3.57476i −0.301599 0.170034i
\(443\) 2.11034 + 1.21840i 0.100265 + 0.0578881i 0.549294 0.835629i \(-0.314897\pi\)
−0.449029 + 0.893517i \(0.648230\pi\)
\(444\) 10.1145 + 29.0487i 0.480012 + 1.37859i
\(445\) −21.3094 36.9090i −1.01016 1.74965i
\(446\) 0.0148333 0.0256919i 0.000702375 0.00121655i
\(447\) 3.04712 15.9700i 0.144124 0.755357i
\(448\) 14.5063 + 9.15260i 0.685359 + 0.432420i
\(449\) −7.28361 + 7.28361i −0.343735 + 0.343735i −0.857770 0.514035i \(-0.828150\pi\)
0.514035 + 0.857770i \(0.328150\pi\)
\(450\) 2.21372 + 0.256320i 0.104356 + 0.0120830i
\(451\) 3.16408 + 5.48035i 0.148991 + 0.258060i
\(452\) 7.65756 + 13.2633i 0.360181 + 0.623852i
\(453\) −12.2904 10.6097i −0.577454 0.498486i
\(454\) 1.79325i 0.0841616i
\(455\) 0.778662 26.8259i 0.0365043 1.25762i
\(456\) 0.105316 0.0715665i 0.00493188 0.00335141i
\(457\) −1.35656 5.06276i −0.0634573 0.236826i 0.926912 0.375280i \(-0.122453\pi\)
−0.990369 + 0.138454i \(0.955787\pi\)
\(458\) −0.531702 + 0.306979i −0.0248448 + 0.0143442i
\(459\) −27.8565 30.3012i −1.30023 1.41434i
\(460\) 4.07318 + 15.2013i 0.189913 + 0.708764i
\(461\) 23.7114 + 23.7114i 1.10435 + 1.10435i 0.993879 + 0.110471i \(0.0352358\pi\)
0.110471 + 0.993879i \(0.464764\pi\)
\(462\) −1.98549 3.18384i −0.0923732 0.148126i
\(463\) −8.98248 8.98248i −0.417451 0.417451i 0.466873 0.884324i \(-0.345380\pi\)
−0.884324 + 0.466873i \(0.845380\pi\)
\(464\) 0.109947 + 0.0634781i 0.00510418 + 0.00294690i
\(465\) −18.0811 + 37.3987i −0.838493 + 1.73433i
\(466\) −1.55402 + 5.79969i −0.0719886 + 0.268665i
\(467\) −5.44419 + 9.42961i −0.251927 + 0.436350i −0.964056 0.265698i \(-0.914398\pi\)
0.712129 + 0.702048i \(0.247731\pi\)
\(468\) −20.8154 2.19436i −0.962190 0.101434i
\(469\) −9.77273 + 9.03400i −0.451263 + 0.417151i
\(470\) 1.01148 + 1.01148i 0.0466559 + 0.0466559i
\(471\) −4.62970 + 0.339794i −0.213325 + 0.0156569i
\(472\) −7.44413 + 4.29787i −0.342644 + 0.197825i
\(473\) −0.315064 + 1.17584i −0.0144867 + 0.0540650i
\(474\) −2.53311 2.18670i −0.116350 0.100439i
\(475\) −0.151073 0.151073i −0.00693172 0.00693172i
\(476\) 35.8896 18.8829i 1.64500 0.865496i
\(477\) −18.9588 7.50812i −0.868065 0.343773i
\(478\) 0.422415 + 0.243881i 0.0193208 + 0.0111549i
\(479\) −4.04474 1.08378i −0.184809 0.0495194i 0.165228 0.986255i \(-0.447164\pi\)
−0.350036 + 0.936736i \(0.613831\pi\)
\(480\) 12.8407 + 6.20806i 0.586093 + 0.283358i
\(481\) 28.4857 16.8375i 1.29884 0.767726i
\(482\) 4.47884i 0.204005i
\(483\) −13.2400 + 0.450378i −0.602442 + 0.0204929i
\(484\) 1.31324 0.0596928
\(485\) −0.214119 + 0.370865i −0.00972263 + 0.0168401i
\(486\) 3.62913 + 1.61668i 0.164621 + 0.0733340i
\(487\) 1.50609 + 0.403555i 0.0682473 + 0.0182868i 0.292781 0.956179i \(-0.405419\pi\)
−0.224534 + 0.974466i \(0.572086\pi\)
\(488\) 2.50955 + 9.36578i 0.113602 + 0.423969i
\(489\) 0.751613 3.93922i 0.0339891 0.178138i
\(490\) −4.13639 2.84274i −0.186863 0.128422i
\(491\) 11.7480 0.530180 0.265090 0.964224i \(-0.414598\pi\)
0.265090 + 0.964224i \(0.414598\pi\)
\(492\) 4.31395 4.99734i 0.194488 0.225298i
\(493\) 0.240953 0.139114i 0.0108520 0.00626538i
\(494\) −0.0481154 0.0471398i −0.00216481 0.00212092i
\(495\) 16.8405 + 21.2510i 0.756925 + 0.955161i
\(496\) −21.7884 + 21.7884i −0.978326 + 0.978326i
\(497\) −6.36741 + 1.44087i −0.285617 + 0.0646317i
\(498\) −1.78937 + 1.21595i −0.0801834 + 0.0544878i
\(499\) 4.09542 + 15.2843i 0.183336 + 0.684221i 0.994981 + 0.100068i \(0.0319062\pi\)
−0.811644 + 0.584152i \(0.801427\pi\)
\(500\) −2.93821 + 10.9655i −0.131401 + 0.490394i
\(501\) −10.8870 31.2674i −0.486396 1.39692i
\(502\) −5.21583 + 1.39758i −0.232794 + 0.0623770i
\(503\) 22.3862i 0.998150i −0.866559 0.499075i \(-0.833673\pi\)
0.866559 0.499075i \(-0.166327\pi\)
\(504\) −4.99379 + 6.19903i −0.222441 + 0.276127i
\(505\) −17.8851 17.8851i −0.795878 0.795878i
\(506\) 1.18352 2.04992i 0.0526140 0.0911301i
\(507\) 2.10775 + 22.4178i 0.0936084 + 0.995609i
\(508\) −2.87556 4.98062i −0.127583 0.220979i
\(509\) 9.85480 2.64058i 0.436806 0.117042i −0.0337131 0.999432i \(-0.510733\pi\)
0.470519 + 0.882390i \(0.344067\pi\)
\(510\) 8.13651 5.52908i 0.360291 0.244832i
\(511\) −14.4436 15.6247i −0.638947 0.691195i
\(512\) 12.6074 + 12.6074i 0.557173 + 0.557173i
\(513\) −0.176423 0.337567i −0.00778927 0.0149039i
\(514\) −1.10745 + 4.13305i −0.0488474 + 0.182301i
\(515\) 13.6650 + 3.66153i 0.602153 + 0.161347i
\(516\) 1.26654 0.0929572i 0.0557565 0.00409221i
\(517\) 6.40936i 0.281883i
\(518\) 0.242894 6.18366i 0.0106721 0.271694i
\(519\) −16.5780 24.3960i −0.727695 1.07086i
\(520\) 2.53217 9.85273i 0.111043 0.432071i
\(521\) 22.7900 13.1578i 0.998447 0.576454i 0.0906586 0.995882i \(-0.471103\pi\)
0.907788 + 0.419428i \(0.137769\pi\)
\(522\) −0.0160138 + 0.0215589i −0.000700906 + 0.000943609i
\(523\) −1.99759 + 3.45993i −0.0873486 + 0.151292i −0.906390 0.422443i \(-0.861173\pi\)
0.819041 + 0.573735i \(0.194506\pi\)
\(524\) 29.1578 1.27376
\(525\) 11.7875 + 6.28119i 0.514449 + 0.274134i
\(526\) 4.84545 4.84545i 0.211272 0.211272i
\(527\) 17.4776 + 65.2274i 0.761338 + 2.84135i
\(528\) 6.61369 + 18.9944i 0.287824 + 0.826627i
\(529\) 7.32140 + 12.6810i 0.318322 + 0.551350i
\(530\) 2.43680 4.22066i 0.105848 0.183334i
\(531\) 10.2098 + 23.5987i 0.443067 + 1.02410i
\(532\) 0.366027 0.0828273i 0.0158693 0.00359102i
\(533\) −6.18657 3.48783i −0.267970 0.151075i
\(534\) 6.66942 0.489498i 0.288614 0.0211827i
\(535\) 6.80756 + 1.82408i 0.294317 + 0.0788619i
\(536\) −4.36891 + 2.52239i −0.188708 + 0.108951i
\(537\) 21.7464 1.59606i 0.938425 0.0688751i
\(538\) −3.16911 + 3.16911i −0.136630 + 0.136630i
\(539\) −4.09871 22.1121i −0.176544 0.952437i
\(540\) 15.1599 23.8817i 0.652379 1.02771i
\(541\) −3.29000 + 0.881552i −0.141448 + 0.0379009i −0.328848 0.944383i \(-0.606661\pi\)
0.187400 + 0.982284i \(0.439994\pi\)
\(542\) −2.18195 + 1.25975i −0.0937226 + 0.0541108i
\(543\) −18.5143 8.95109i −0.794524 0.384128i
\(544\) 22.3955 6.00085i 0.960198 0.257284i
\(545\) −36.9306 −1.58193
\(546\) 3.73643 + 1.94216i 0.159904 + 0.0831167i
\(547\) −5.84928 −0.250097 −0.125049 0.992151i \(-0.539909\pi\)
−0.125049 + 0.992151i \(0.539909\pi\)
\(548\) 26.6408 7.13839i 1.13804 0.304937i
\(549\) 28.6936 4.23471i 1.22461 0.180733i
\(550\) −2.06677 + 1.19325i −0.0881275 + 0.0508804i
\(551\) 0.00248695 0.000666378i 0.000105948 2.83886e-5i
\(552\) −4.93269 0.941170i −0.209949 0.0400589i
\(553\) −9.33880 17.7497i −0.397126 0.754794i
\(554\) −1.34363 + 1.34363i −0.0570854 + 0.0570854i
\(555\) 3.27337 + 44.5998i 0.138947 + 1.89316i
\(556\) −27.6687 + 15.9745i −1.17341 + 0.677471i
\(557\) −30.4609 8.16196i −1.29067 0.345833i −0.452754 0.891636i \(-0.649558\pi\)
−0.837914 + 0.545802i \(0.816225\pi\)
\(558\) −4.04830 5.10854i −0.171378 0.216262i
\(559\) −0.367088 1.31593i −0.0155262 0.0556581i
\(560\) 18.2624 + 19.7558i 0.771728 + 0.834834i
\(561\) 43.2969 + 8.26116i 1.82800 + 0.348787i
\(562\) 3.01582 5.22356i 0.127215 0.220343i
\(563\) −15.9085 27.5543i −0.670464 1.16128i −0.977773 0.209667i \(-0.932762\pi\)
0.307309 0.951610i \(-0.400571\pi\)
\(564\) 6.31465 2.19871i 0.265895 0.0925822i
\(565\) 5.76290 + 21.5074i 0.242447 + 0.904825i
\(566\) −4.52596 + 4.52596i −0.190240 + 0.190240i
\(567\) 16.7021 + 16.9717i 0.701422 + 0.712746i
\(568\) −2.47466 −0.103834
\(569\) −10.2235 + 17.7077i −0.428593 + 0.742345i −0.996748 0.0805766i \(-0.974324\pi\)
0.568156 + 0.822921i \(0.307657\pi\)
\(570\) 0.0859711 0.0299344i 0.00360093 0.00125381i
\(571\) −30.0115 + 17.3271i −1.25594 + 0.725118i −0.972283 0.233808i \(-0.924881\pi\)
−0.283658 + 0.958926i \(0.591548\pi\)
\(572\) 19.2958 11.4055i 0.806798 0.476888i
\(573\) −30.4206 + 20.6720i −1.27084 + 0.863585i
\(574\) −1.17544 + 0.618446i −0.0490621 + 0.0258135i
\(575\) 8.42590i 0.351384i
\(576\) 15.2430 12.0794i 0.635125 0.503310i
\(577\) 3.27490 + 0.877506i 0.136336 + 0.0365310i 0.326342 0.945252i \(-0.394184\pi\)
−0.190006 + 0.981783i \(0.560851\pi\)
\(578\) 3.01758 11.2618i 0.125515 0.468427i
\(579\) −7.99340 6.90029i −0.332194 0.286766i
\(580\) 0.135207 + 0.135207i 0.00561416 + 0.00561416i
\(581\) −12.6467 + 2.86178i −0.524671 + 0.118727i
\(582\) −0.0377670 0.0555773i −0.00156549 0.00230375i
\(583\) 21.0929 5.65184i 0.873580 0.234075i
\(584\) −4.03281 6.98502i −0.166879 0.289042i
\(585\) −28.4059 10.9142i −1.17444 0.451246i
\(586\) −1.46580 + 2.53885i −0.0605518 + 0.104879i
\(587\) −10.3142 10.3142i −0.425714 0.425714i 0.461452 0.887165i \(-0.347329\pi\)
−0.887165 + 0.461452i \(0.847329\pi\)
\(588\) −20.3793 + 11.6236i −0.840430 + 0.479350i
\(589\) 0.624899i 0.0257485i
\(590\) −5.93599 + 1.59054i −0.244381 + 0.0654816i
\(591\) 7.50094 2.61176i 0.308547 0.107433i
\(592\) −8.58551 + 32.0415i −0.352862 + 1.31690i
\(593\) 9.51681 + 35.5172i 0.390808 + 1.45852i 0.828804 + 0.559540i \(0.189022\pi\)
−0.437995 + 0.898977i \(0.644311\pi\)
\(594\) −4.15224 + 0.927603i −0.170369 + 0.0380600i
\(595\) 57.5062 13.0129i 2.35752 0.533478i
\(596\) 12.8436 12.8436i 0.526094 0.526094i
\(597\) 0.0366786 + 0.499747i 0.00150116 + 0.0204533i
\(598\) 0.0272056 + 2.65636i 0.00111252 + 0.108627i
\(599\) 9.82791 5.67415i 0.401558 0.231839i −0.285598 0.958349i \(-0.592192\pi\)
0.687156 + 0.726510i \(0.258859\pi\)
\(600\) 3.83250 + 3.30840i 0.156461 + 0.135065i
\(601\) −8.65978 −0.353240 −0.176620 0.984279i \(-0.556516\pi\)
−0.176620 + 0.984279i \(0.556516\pi\)
\(602\) −0.244009 0.0757642i −0.00994507 0.00308792i
\(603\) 5.99205 + 13.8499i 0.244015 + 0.564012i
\(604\) −4.69478 17.5212i −0.191028 0.712926i
\(605\) 1.84422 + 0.494158i 0.0749783 + 0.0200904i
\(606\) 3.74810 1.30506i 0.152256 0.0530143i
\(607\) 11.7019 20.2683i 0.474965 0.822663i −0.524624 0.851334i \(-0.675794\pi\)
0.999589 + 0.0286710i \(0.00912751\pi\)
\(608\) 0.214556 0.00870138
\(609\) −0.136579 + 0.0851723i −0.00553444 + 0.00345136i
\(610\) 6.93213i 0.280674i
\(611\) −3.66018 6.19228i −0.148075 0.250513i
\(612\) −6.71375 45.4911i −0.271387 1.83887i
\(613\) 26.7536 + 7.16861i 1.08057 + 0.289537i 0.754828 0.655922i \(-0.227720\pi\)
0.325739 + 0.945460i \(0.394387\pi\)
\(614\) 4.41319 + 2.54796i 0.178102 + 0.102827i
\(615\) 7.93864 5.39462i 0.320117 0.217532i
\(616\) 0.334588 8.51805i 0.0134809 0.343202i
\(617\) 6.78902 + 6.78902i 0.273316 + 0.273316i 0.830433 0.557118i \(-0.188093\pi\)
−0.557118 + 0.830433i \(0.688093\pi\)
\(618\) −1.45055 + 1.68034i −0.0583498 + 0.0675933i
\(619\) 9.77385 36.4765i 0.392844 1.46611i −0.432577 0.901597i \(-0.642396\pi\)
0.825421 0.564517i \(-0.190938\pi\)
\(620\) −40.1911 + 23.2044i −1.61411 + 0.931910i
\(621\) −4.49379 + 14.3335i −0.180329 + 0.575185i
\(622\) −3.64317 3.64317i −0.146078 0.146078i
\(623\) 38.2780 + 11.8852i 1.53357 + 0.476170i
\(624\) −17.2368 14.5742i −0.690024 0.583437i
\(625\) −15.5390 + 26.9144i −0.621561 + 1.07658i
\(626\) −1.71572 + 6.40316i −0.0685740 + 0.255922i
\(627\) 0.367226 + 0.177542i 0.0146656 + 0.00709036i
\(628\) −4.49139 2.59310i −0.179226 0.103476i
\(629\) 51.4046 + 51.4046i 2.04963 + 2.04963i
\(630\) −4.59564 + 3.35684i −0.183095 + 0.133740i
\(631\) −1.01075 1.01075i −0.0402374 0.0402374i 0.686702 0.726939i \(-0.259058\pi\)
−0.726939 + 0.686702i \(0.759058\pi\)
\(632\) −1.96771 7.34360i −0.0782714 0.292113i
\(633\) −0.437850 + 0.905643i −0.0174030 + 0.0359961i
\(634\) 1.51882 0.876893i 0.0603202 0.0348259i
\(635\) −2.16408 8.07647i −0.0858791 0.320505i
\(636\) −12.8042 18.8424i −0.507719 0.747151i
\(637\) 16.5874 + 19.0226i 0.657217 + 0.753702i
\(638\) 0.0287597i 0.00113861i
\(639\) −0.851424 + 7.35338i −0.0336818 + 0.290895i
\(640\) 10.5587 + 18.2882i 0.417370 + 0.722905i
\(641\) 3.32852 + 5.76517i 0.131469 + 0.227711i 0.924243 0.381805i \(-0.124697\pi\)
−0.792774 + 0.609515i \(0.791364\pi\)
\(642\) −0.722627 + 0.837103i −0.0285198 + 0.0330378i
\(643\) −16.9839 + 16.9839i −0.669780 + 0.669780i −0.957665 0.287885i \(-0.907048\pi\)
0.287885 + 0.957665i \(0.407048\pi\)
\(644\) −12.5171 7.89752i −0.493243 0.311206i
\(645\) 1.81362 + 0.346044i 0.0714113 + 0.0136255i
\(646\) 0.0739926 0.128159i 0.00291120 0.00504235i
\(647\) −13.0009 22.5183i −0.511120 0.885286i −0.999917 0.0128882i \(-0.995897\pi\)
0.488797 0.872398i \(-0.337436\pi\)
\(648\) 4.75511 + 7.67200i 0.186798 + 0.301385i
\(649\) −23.8465 13.7678i −0.936055 0.540432i
\(650\) 1.31535 2.33310i 0.0515921 0.0915119i
\(651\) −11.3881 37.3696i −0.446336 1.46463i
\(652\) 3.16804 3.16804i 0.124070 0.124070i
\(653\) −12.0001 6.92828i −0.469602 0.271125i 0.246471 0.969150i \(-0.420729\pi\)
−0.716073 + 0.698025i \(0.754062\pi\)
\(654\) 2.52230 5.21708i 0.0986296 0.204004i
\(655\) 40.9471 + 10.9717i 1.59993 + 0.428701i
\(656\) 6.87702 1.84269i 0.268502 0.0719450i
\(657\) −22.1433 + 9.58012i −0.863893 + 0.373756i
\(658\) −1.34422 0.0528007i −0.0524030 0.00205839i
\(659\) 25.9191i 1.00966i −0.863218 0.504832i \(-0.831555\pi\)
0.863218 0.504832i \(-0.168445\pi\)
\(660\) 2.21734 + 30.2113i 0.0863097 + 1.17597i
\(661\) −7.46215 + 27.8491i −0.290244 + 1.08320i 0.654678 + 0.755908i \(0.272804\pi\)
−0.944922 + 0.327297i \(0.893862\pi\)
\(662\) 1.44752 + 2.50718i 0.0562595 + 0.0974443i
\(663\) −46.5482 + 16.7441i −1.80778 + 0.650287i
\(664\) −4.91505 −0.190741
\(665\) 0.545189 + 0.0214150i 0.0211415 + 0.000830437i
\(666\) −6.52405 2.58367i −0.252802 0.100115i
\(667\) −0.0879363 0.0507701i −0.00340491 0.00196583i
\(668\) 9.57341 35.7285i 0.370406 1.38238i
\(669\) −0.0662960 0.190401i −0.00256315 0.00736134i
\(670\) −3.48379 + 0.933479i −0.134591 + 0.0360634i
\(671\) −21.9632 + 21.9632i −0.847879 + 0.847879i
\(672\) −12.8307 + 3.91006i −0.494953 + 0.150834i
\(673\) 4.97327i 0.191705i 0.995396 + 0.0958527i \(0.0305578\pi\)
−0.995396 + 0.0958527i \(0.969442\pi\)
\(674\) −0.0453753 0.169343i −0.00174779 0.00652285i
\(675\) 11.1494 10.2499i 0.429141 0.394518i
\(676\) −12.1290 + 22.0384i −0.466498 + 0.847631i
\(677\) 4.21948 + 2.43612i 0.162168 + 0.0936276i 0.578888 0.815407i \(-0.303487\pi\)
−0.416720 + 0.909035i \(0.636820\pi\)
\(678\) −3.43189 0.654813i −0.131801 0.0251479i
\(679\) −0.0888863 0.392802i −0.00341114 0.0150744i
\(680\) 22.3495 0.857063
\(681\) −9.22512 7.96357i −0.353507 0.305165i
\(682\) 6.74238 + 1.80661i 0.258179 + 0.0691788i
\(683\) −7.72004 2.06858i −0.295399 0.0791519i 0.108076 0.994143i \(-0.465531\pi\)
−0.403475 + 0.914991i \(0.632198\pi\)
\(684\) 0.0489436 0.422705i 0.00187140 0.0161625i
\(685\) 40.0985 1.53209
\(686\) 4.67128 0.677448i 0.178350 0.0258651i
\(687\) −0.782005 + 4.09851i −0.0298354 + 0.156368i
\(688\) 1.18608 + 0.684781i 0.0452187 + 0.0261070i
\(689\) −17.1510 + 17.5059i −0.653400 + 0.666922i
\(690\) −3.23223 1.56269i −0.123049 0.0594904i
\(691\) −2.85162 10.6424i −0.108481 0.404856i 0.890236 0.455500i \(-0.150539\pi\)
−0.998717 + 0.0506439i \(0.983873\pi\)
\(692\) 32.9525i 1.25267i
\(693\) −25.1960 3.92491i −0.957118 0.149095i
\(694\) 0.384429 0.384429i 0.0145927 0.0145927i
\(695\) −44.8670 + 12.0221i −1.70190 + 0.456023i
\(696\) −0.0576205 + 0.0200630i −0.00218410 + 0.000760484i
\(697\) 4.03831 15.0712i 0.152962 0.570861i
\(698\) 5.91173 + 3.41314i 0.223762 + 0.129189i
\(699\) 22.9344 + 33.7499i 0.867459 + 1.27654i
\(700\) 6.94802 + 13.2057i 0.262610 + 0.499128i
\(701\) −39.3887 −1.48769 −0.743845 0.668352i \(-0.767000\pi\)
−0.743845 + 0.668352i \(0.767000\pi\)
\(702\) 3.48189 3.26740i 0.131415 0.123320i
\(703\) 0.336364 + 0.582600i 0.0126862 + 0.0219732i
\(704\) −5.39063 + 20.1181i −0.203167 + 0.758229i
\(705\) 9.69519 0.711572i 0.365142 0.0267994i
\(706\) 3.09796i 0.116593i
\(707\) 23.7687 + 0.933633i 0.893914 + 0.0351129i
\(708\) −5.38389 + 28.2171i −0.202339 + 1.06046i
\(709\) 10.8943 2.91911i 0.409143 0.109630i −0.0483762 0.998829i \(-0.515405\pi\)
0.457520 + 0.889200i \(0.348738\pi\)
\(710\) −1.70894 0.457908i −0.0641352 0.0171850i
\(711\) −22.4983 + 3.32038i −0.843752 + 0.124524i
\(712\) 13.1575 + 7.59651i 0.493099 + 0.284691i
\(713\) 17.4264 17.4264i 0.652625 0.652625i
\(714\) −2.08927 + 9.01248i −0.0781891 + 0.337284i
\(715\) 31.3894 8.75627i 1.17390 0.327466i
\(716\) 21.0967 + 12.1802i 0.788420 + 0.455195i
\(717\) 3.13049 1.09001i 0.116910 0.0407071i
\(718\) −0.747602 1.29488i −0.0279003 0.0483247i
\(719\) 7.72451 13.3792i 0.288076 0.498962i −0.685275 0.728285i \(-0.740318\pi\)
0.973350 + 0.229323i \(0.0736512\pi\)
\(720\) 27.9979 12.1131i 1.04342 0.451427i
\(721\) −11.7743 + 6.19491i −0.438498 + 0.230711i
\(722\) −3.42314 + 3.42314i −0.127396 + 0.127396i
\(723\) −23.0407 19.8898i −0.856892 0.739710i
\(724\) −11.4873 19.8967i −0.426924 0.739453i
\(725\) 0.0511874 + 0.0886592i 0.00190105 + 0.00329272i
\(726\) −0.195766 + 0.226778i −0.00726554 + 0.00841652i
\(727\) 49.2519i 1.82665i −0.407228 0.913327i \(-0.633504\pi\)
0.407228 0.913327i \(-0.366496\pi\)
\(728\) 4.54112 + 8.42062i 0.168305 + 0.312089i
\(729\) 24.4331 11.4901i 0.904931 0.425558i
\(730\) −1.49245 5.56990i −0.0552380 0.206151i
\(731\) 2.59932 1.50072i 0.0961392 0.0555060i
\(732\) 29.1730 + 14.1043i 1.07827 + 0.521309i
\(733\) 10.8707 + 40.5701i 0.401519 + 1.49849i 0.810386 + 0.585896i \(0.199257\pi\)
−0.408867 + 0.912594i \(0.634076\pi\)
\(734\) 5.74644 + 5.74644i 0.212105 + 0.212105i
\(735\) −32.9931 + 8.65486i −1.21697 + 0.319239i
\(736\) −5.98327 5.98327i −0.220546 0.220546i
\(737\) −13.9953 8.08020i −0.515524 0.297638i
\(738\) 0.219887 + 1.48991i 0.00809414 + 0.0548444i
\(739\) 0.964951 3.60124i 0.0354963 0.132474i −0.945904 0.324447i \(-0.894822\pi\)
0.981400 + 0.191973i \(0.0614886\pi\)
\(740\) −24.9804 + 43.2674i −0.918299 + 1.59054i
\(741\) −0.456177 + 0.0381815i −0.0167581 + 0.00140263i
\(742\) 1.01158 + 4.47032i 0.0371362 + 0.164111i
\(743\) −18.6096 18.6096i −0.682720 0.682720i 0.277892 0.960612i \(-0.410364\pi\)
−0.960612 + 0.277892i \(0.910364\pi\)
\(744\) −1.08395 14.7688i −0.0397394 0.541450i
\(745\) 22.8695 13.2037i 0.837874 0.483746i
\(746\) −0.556509 + 2.07692i −0.0203752 + 0.0760414i
\(747\) −1.69106 + 14.6049i −0.0618726 + 0.534367i
\(748\) 34.8207 + 34.8207i 1.27317 + 1.27317i
\(749\) −5.86565 + 3.08614i −0.214326 + 0.112765i
\(750\) −1.45559 2.14202i −0.0531506 0.0782156i
\(751\) −35.5729 20.5380i −1.29807 0.749442i −0.318001 0.948090i \(-0.603012\pi\)
−0.980071 + 0.198648i \(0.936345\pi\)
\(752\) 6.96525 + 1.86633i 0.253997 + 0.0680582i
\(753\) −15.9731 + 33.0385i −0.582091 + 1.20399i
\(754\) 0.0164237 + 0.0277856i 0.000598116 + 0.00101189i
\(755\) 26.3721i 0.959777i
\(756\) 4.77648 + 26.1701i 0.173719 + 0.951799i
\(757\) −1.96778 −0.0715200 −0.0357600 0.999360i \(-0.511385\pi\)
−0.0357600 + 0.999360i \(0.511385\pi\)
\(758\) 1.75938 3.04734i 0.0639036 0.110684i
\(759\) −5.28966 15.1918i −0.192003 0.551429i
\(760\) 0.199772 + 0.0535287i 0.00724648 + 0.00194169i
\(761\) −2.94311 10.9838i −0.106688 0.398164i 0.891843 0.452344i \(-0.149412\pi\)
−0.998531 + 0.0541801i \(0.982745\pi\)
\(762\) 1.28874 + 0.245895i 0.0466862 + 0.00890785i
\(763\) 25.5036 23.5758i 0.923294 0.853502i
\(764\) −41.0902 −1.48659
\(765\) 7.68948 66.4108i 0.278014 2.40109i
\(766\) −1.07462 + 0.620433i −0.0388276 + 0.0224171i
\(767\) 30.9011 0.316479i 1.11577 0.0114274i
\(768\) 19.0928 1.40130i 0.688952 0.0505652i
\(769\) −9.25147 + 9.25147i −0.333617 + 0.333617i −0.853958 0.520342i \(-0.825805\pi\)
0.520342 + 0.853958i \(0.325805\pi\)
\(770\) 1.80723 5.82043i 0.0651279 0.209754i
\(771\) 16.3438 + 24.0513i 0.588609 + 0.866188i
\(772\) −3.05338 11.3954i −0.109893