Properties

Label 168.2.v.a.107.15
Level $168$
Weight $2$
Character 168.107
Analytic conductor $1.341$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 168 = 2^{3} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 168.v (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.34148675396\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 107.15
Character \(\chi\) \(=\) 168.107
Dual form 168.2.v.a.11.15

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0689217 - 1.41253i) q^{2} +(0.728136 + 1.57157i) q^{3} +(-1.99050 - 0.194708i) q^{4} +(1.00081 - 1.73346i) q^{5} +(2.27007 - 0.920201i) q^{6} +(2.50986 - 0.837013i) q^{7} +(-0.412221 + 2.79823i) q^{8} +(-1.93964 + 2.28863i) q^{9} +O(q^{10})\) \(q+(0.0689217 - 1.41253i) q^{2} +(0.728136 + 1.57157i) q^{3} +(-1.99050 - 0.194708i) q^{4} +(1.00081 - 1.73346i) q^{5} +(2.27007 - 0.920201i) q^{6} +(2.50986 - 0.837013i) q^{7} +(-0.412221 + 2.79823i) q^{8} +(-1.93964 + 2.28863i) q^{9} +(-2.37959 - 1.53315i) q^{10} +(3.33711 - 1.92668i) q^{11} +(-1.14336 - 3.26997i) q^{12} -2.05924i q^{13} +(-1.00932 - 3.60295i) q^{14} +(3.45297 + 0.310649i) q^{15} +(3.92418 + 0.775134i) q^{16} +(-4.92484 + 2.84336i) q^{17} +(3.09908 + 2.89754i) q^{18} +(-0.232846 + 0.403301i) q^{19} +(-2.32964 + 3.25558i) q^{20} +(3.14294 + 3.33495i) q^{21} +(-2.49150 - 4.84656i) q^{22} +(-0.711115 + 1.23169i) q^{23} +(-4.69775 + 1.38966i) q^{24} +(0.496746 + 0.860389i) q^{25} +(-2.90874 - 0.141926i) q^{26} +(-5.00905 - 1.38183i) q^{27} +(-5.15885 + 1.17738i) q^{28} -9.25829 q^{29} +(0.676787 - 4.85603i) q^{30} +(-4.99699 + 2.88502i) q^{31} +(1.36536 - 5.48961i) q^{32} +(5.45777 + 3.84160i) q^{33} +(3.67691 + 7.15247i) q^{34} +(1.06098 - 5.18844i) q^{35} +(4.30646 - 4.17785i) q^{36} +(0.569094 + 0.328567i) q^{37} +(0.553627 + 0.356698i) q^{38} +(3.23622 - 1.49940i) q^{39} +(4.43806 + 3.51507i) q^{40} +8.42924i q^{41} +(4.92735 - 4.20966i) q^{42} +6.77074 q^{43} +(-7.01765 + 3.18529i) q^{44} +(2.02603 + 5.65277i) q^{45} +(1.69079 + 1.08936i) q^{46} +(-1.79536 + 3.10966i) q^{47} +(1.63916 + 6.73150i) q^{48} +(5.59882 - 4.20157i) q^{49} +(1.24956 - 0.642371i) q^{50} +(-8.05448 - 5.66936i) q^{51} +(-0.400950 + 4.09891i) q^{52} +(-1.50566 - 2.60789i) q^{53} +(-2.29712 + 6.98020i) q^{54} -7.71298i q^{55} +(1.30753 + 7.36820i) q^{56} +(-0.803357 - 0.0722746i) q^{57} +(-0.638097 + 13.0776i) q^{58} +(5.72041 - 3.30268i) q^{59} +(-6.81266 - 1.29067i) q^{60} +(-8.50530 - 4.91054i) q^{61} +(3.73078 + 7.25726i) q^{62} +(-2.95261 + 7.36764i) q^{63} +(-7.66015 - 2.30697i) q^{64} +(-3.56960 - 2.06091i) q^{65} +(5.80254 - 7.44451i) q^{66} +(-3.78271 - 6.55184i) q^{67} +(10.3565 - 4.70080i) q^{68} +(-2.45347 - 0.220728i) q^{69} +(-7.25572 - 1.85626i) q^{70} +14.0426 q^{71} +(-5.60454 - 6.37096i) q^{72} +(-2.02113 - 3.50071i) q^{73} +(0.503334 - 0.781219i) q^{74} +(-0.990459 + 1.40715i) q^{75} +(0.542005 - 0.757433i) q^{76} +(6.76302 - 7.62890i) q^{77} +(-1.89491 - 4.67462i) q^{78} +(-0.00488142 - 0.00281829i) q^{79} +(5.27103 - 6.02664i) q^{80} +(-1.47562 - 8.87821i) q^{81} +(11.9066 + 0.580958i) q^{82} +8.56466i q^{83} +(-5.60668 - 7.25018i) q^{84} +11.3827i q^{85} +(0.466651 - 9.56389i) q^{86} +(-6.74130 - 14.5500i) q^{87} +(4.01566 + 10.1322i) q^{88} +(-8.14017 - 4.69973i) q^{89} +(8.12436 - 2.47223i) q^{90} +(-1.72361 - 5.16840i) q^{91} +(1.65529 - 2.31321i) q^{92} +(-8.17248 - 5.75242i) q^{93} +(4.26876 + 2.75033i) q^{94} +(0.466070 + 0.807257i) q^{95} +(9.62145 - 1.85142i) q^{96} -4.17304 q^{97} +(-5.54898 - 8.19810i) q^{98} +(-2.06332 + 11.3744i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q - 2 q^{3} - 2 q^{4} - 8 q^{6} - 2 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 56 q - 2 q^{3} - 2 q^{4} - 8 q^{6} - 2 q^{9} + 6 q^{10} + 10 q^{12} - 10 q^{16} - 10 q^{18} - 4 q^{19} - 20 q^{22} - 8 q^{24} - 16 q^{25} - 8 q^{27} - 22 q^{28} - 12 q^{30} - 14 q^{33} - 56 q^{34} + 4 q^{36} + 14 q^{40} - 8 q^{42} - 16 q^{43} - 12 q^{46} + 64 q^{48} - 16 q^{49} - 34 q^{51} - 8 q^{52} + 32 q^{54} + 4 q^{57} - 18 q^{58} + 40 q^{60} + 4 q^{64} - 20 q^{66} - 36 q^{67} - 42 q^{70} + 22 q^{72} + 4 q^{73} + 104 q^{76} + 28 q^{78} - 10 q^{81} + 52 q^{82} + 4 q^{84} + 46 q^{88} + 140 q^{90} + 72 q^{91} - 46 q^{96} - 32 q^{97} - 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(-1\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0689217 1.41253i 0.0487350 0.998812i
\(3\) 0.728136 + 1.57157i 0.420390 + 0.907344i
\(4\) −1.99050 0.194708i −0.995250 0.0973542i
\(5\) 1.00081 1.73346i 0.447577 0.775227i −0.550650 0.834736i \(-0.685620\pi\)
0.998228 + 0.0595094i \(0.0189536\pi\)
\(6\) 2.27007 0.920201i 0.926753 0.375671i
\(7\) 2.50986 0.837013i 0.948639 0.316361i
\(8\) −0.412221 + 2.79823i −0.145742 + 0.989323i
\(9\) −1.93964 + 2.28863i −0.646545 + 0.762876i
\(10\) −2.37959 1.53315i −0.752493 0.484826i
\(11\) 3.33711 1.92668i 1.00618 0.580916i 0.0961058 0.995371i \(-0.469361\pi\)
0.910070 + 0.414455i \(0.136028\pi\)
\(12\) −1.14336 3.26997i −0.330059 0.943960i
\(13\) 2.05924i 0.571129i −0.958359 0.285565i \(-0.907819\pi\)
0.958359 0.285565i \(-0.0921811\pi\)
\(14\) −1.00932 3.60295i −0.269753 0.962929i
\(15\) 3.45297 + 0.310649i 0.891554 + 0.0802093i
\(16\) 3.92418 + 0.775134i 0.981044 + 0.193783i
\(17\) −4.92484 + 2.84336i −1.19445 + 0.689616i −0.959313 0.282346i \(-0.908887\pi\)
−0.235137 + 0.971962i \(0.575554\pi\)
\(18\) 3.09908 + 2.89754i 0.730460 + 0.682956i
\(19\) −0.232846 + 0.403301i −0.0534185 + 0.0925235i −0.891498 0.453024i \(-0.850345\pi\)
0.838080 + 0.545548i \(0.183678\pi\)
\(20\) −2.32964 + 3.25558i −0.520923 + 0.727971i
\(21\) 3.14294 + 3.33495i 0.685846 + 0.727747i
\(22\) −2.49150 4.84656i −0.531189 1.03329i
\(23\) −0.711115 + 1.23169i −0.148278 + 0.256825i −0.930591 0.366061i \(-0.880706\pi\)
0.782313 + 0.622885i \(0.214040\pi\)
\(24\) −4.69775 + 1.38966i −0.958924 + 0.283663i
\(25\) 0.496746 + 0.860389i 0.0993492 + 0.172078i
\(26\) −2.90874 0.141926i −0.570451 0.0278340i
\(27\) −5.00905 1.38183i −0.963991 0.265934i
\(28\) −5.15885 + 1.17738i −0.974932 + 0.222504i
\(29\) −9.25829 −1.71922 −0.859611 0.510949i \(-0.829294\pi\)
−0.859611 + 0.510949i \(0.829294\pi\)
\(30\) 0.676787 4.85603i 0.123564 0.886585i
\(31\) −4.99699 + 2.88502i −0.897486 + 0.518164i −0.876384 0.481613i \(-0.840051\pi\)
−0.0211026 + 0.999777i \(0.506718\pi\)
\(32\) 1.36536 5.48961i 0.241364 0.970435i
\(33\) 5.45777 + 3.84160i 0.950076 + 0.668736i
\(34\) 3.67691 + 7.15247i 0.630585 + 1.22664i
\(35\) 1.06098 5.18844i 0.179338 0.877006i
\(36\) 4.30646 4.17785i 0.717743 0.696308i
\(37\) 0.569094 + 0.328567i 0.0935586 + 0.0540161i 0.546049 0.837753i \(-0.316131\pi\)
−0.452491 + 0.891769i \(0.649464\pi\)
\(38\) 0.553627 + 0.356698i 0.0898102 + 0.0578641i
\(39\) 3.23622 1.49940i 0.518211 0.240097i
\(40\) 4.43806 + 3.51507i 0.701718 + 0.555781i
\(41\) 8.42924i 1.31643i 0.752832 + 0.658213i \(0.228687\pi\)
−0.752832 + 0.658213i \(0.771313\pi\)
\(42\) 4.92735 4.20966i 0.760307 0.649564i
\(43\) 6.77074 1.03253 0.516264 0.856430i \(-0.327322\pi\)
0.516264 + 0.856430i \(0.327322\pi\)
\(44\) −7.01765 + 3.18529i −1.05795 + 0.480201i
\(45\) 2.02603 + 5.65277i 0.302022 + 0.842665i
\(46\) 1.69079 + 1.08936i 0.249293 + 0.160618i
\(47\) −1.79536 + 3.10966i −0.261881 + 0.453590i −0.966742 0.255755i \(-0.917676\pi\)
0.704861 + 0.709345i \(0.251009\pi\)
\(48\) 1.63916 + 6.73150i 0.236593 + 0.971609i
\(49\) 5.59882 4.20157i 0.799831 0.600225i
\(50\) 1.24956 0.642371i 0.176715 0.0908449i
\(51\) −8.05448 5.66936i −1.12785 0.793869i
\(52\) −0.400950 + 4.09891i −0.0556018 + 0.568416i
\(53\) −1.50566 2.60789i −0.206819 0.358221i 0.743892 0.668300i \(-0.232978\pi\)
−0.950711 + 0.310079i \(0.899644\pi\)
\(54\) −2.29712 + 6.98020i −0.312598 + 0.949885i
\(55\) 7.71298i 1.04002i
\(56\) 1.30753 + 7.36820i 0.174727 + 0.984617i
\(57\) −0.803357 0.0722746i −0.106407 0.00957300i
\(58\) −0.638097 + 13.0776i −0.0837863 + 1.71718i
\(59\) 5.72041 3.30268i 0.744735 0.429973i −0.0790537 0.996870i \(-0.525190\pi\)
0.823788 + 0.566898i \(0.191857\pi\)
\(60\) −6.81266 1.29067i −0.879510 0.166625i
\(61\) −8.50530 4.91054i −1.08899 0.628730i −0.155684 0.987807i \(-0.549758\pi\)
−0.933308 + 0.359077i \(0.883092\pi\)
\(62\) 3.73078 + 7.25726i 0.473809 + 0.921673i
\(63\) −2.95261 + 7.36764i −0.371994 + 0.928235i
\(64\) −7.66015 2.30697i −0.957519 0.288372i
\(65\) −3.56960 2.06091i −0.442755 0.255624i
\(66\) 5.80254 7.44451i 0.714243 0.916356i
\(67\) −3.78271 6.55184i −0.462131 0.800435i 0.536936 0.843623i \(-0.319582\pi\)
−0.999067 + 0.0431883i \(0.986248\pi\)
\(68\) 10.3565 4.70080i 1.25591 0.570055i
\(69\) −2.45347 0.220728i −0.295363 0.0265725i
\(70\) −7.25572 1.85626i −0.867224 0.221865i
\(71\) 14.0426 1.66655 0.833274 0.552861i \(-0.186464\pi\)
0.833274 + 0.552861i \(0.186464\pi\)
\(72\) −5.60454 6.37096i −0.660501 0.750825i
\(73\) −2.02113 3.50071i −0.236556 0.409727i 0.723168 0.690672i \(-0.242685\pi\)
−0.959724 + 0.280946i \(0.909352\pi\)
\(74\) 0.503334 0.781219i 0.0585114 0.0908149i
\(75\) −0.990459 + 1.40715i −0.114368 + 0.162484i
\(76\) 0.542005 0.757433i 0.0621723 0.0868835i
\(77\) 6.76302 7.62890i 0.770718 0.869394i
\(78\) −1.89491 4.67462i −0.214556 0.529296i
\(79\) −0.00488142 0.00281829i −0.000549203 0.000317082i 0.499725 0.866184i \(-0.333434\pi\)
−0.500275 + 0.865867i \(0.666768\pi\)
\(80\) 5.27103 6.02664i 0.589319 0.673799i
\(81\) −1.47562 8.87821i −0.163958 0.986467i
\(82\) 11.9066 + 0.580958i 1.31486 + 0.0641560i
\(83\) 8.56466i 0.940093i 0.882642 + 0.470047i \(0.155763\pi\)
−0.882642 + 0.470047i \(0.844237\pi\)
\(84\) −5.60668 7.25018i −0.611739 0.791060i
\(85\) 11.3827i 1.23463i
\(86\) 0.466651 9.56389i 0.0503202 1.03130i
\(87\) −6.74130 14.5500i −0.722743 1.55993i
\(88\) 4.01566 + 10.1322i 0.428071 + 1.08010i
\(89\) −8.14017 4.69973i −0.862857 0.498170i 0.00211125 0.999998i \(-0.499328\pi\)
−0.864968 + 0.501827i \(0.832661\pi\)
\(90\) 8.12436 2.47223i 0.856383 0.260596i
\(91\) −1.72361 5.16840i −0.180683 0.541795i
\(92\) 1.65529 2.31321i 0.172576 0.241169i
\(93\) −8.17248 5.75242i −0.847447 0.596498i
\(94\) 4.26876 + 2.75033i 0.440289 + 0.283675i
\(95\) 0.466070 + 0.807257i 0.0478178 + 0.0828228i
\(96\) 9.62145 1.85142i 0.981985 0.188960i
\(97\) −4.17304 −0.423708 −0.211854 0.977301i \(-0.567950\pi\)
−0.211854 + 0.977301i \(0.567950\pi\)
\(98\) −5.54898 8.19810i −0.560532 0.828133i
\(99\) −2.06332 + 11.3744i −0.207372 + 1.14317i
\(100\) −0.821248 1.80932i −0.0821248 0.180932i
\(101\) 5.27692 + 9.13990i 0.525073 + 0.909454i 0.999574 + 0.0291983i \(0.00929543\pi\)
−0.474500 + 0.880255i \(0.657371\pi\)
\(102\) −8.56329 + 10.9865i −0.847892 + 1.08782i
\(103\) −9.20735 5.31587i −0.907227 0.523788i −0.0276894 0.999617i \(-0.508815\pi\)
−0.879538 + 0.475829i \(0.842148\pi\)
\(104\) 5.76221 + 0.848859i 0.565031 + 0.0832375i
\(105\) 8.92650 2.11050i 0.871138 0.205963i
\(106\) −3.78750 + 1.94706i −0.367874 + 0.189115i
\(107\) 4.86572 + 2.80922i 0.470386 + 0.271578i 0.716401 0.697688i \(-0.245788\pi\)
−0.246015 + 0.969266i \(0.579121\pi\)
\(108\) 9.70145 + 3.72584i 0.933522 + 0.358519i
\(109\) 9.15046 5.28302i 0.876456 0.506022i 0.00696746 0.999976i \(-0.497782\pi\)
0.869488 + 0.493954i \(0.164449\pi\)
\(110\) −10.8948 0.531592i −1.03878 0.0506853i
\(111\) −0.101986 + 1.13361i −0.00968009 + 0.107598i
\(112\) 10.4979 1.33911i 0.991962 0.126534i
\(113\) 15.9104i 1.49673i −0.663288 0.748364i \(-0.730840\pi\)
0.663288 0.748364i \(-0.269160\pi\)
\(114\) −0.157459 + 1.12979i −0.0147474 + 0.105814i
\(115\) 1.42339 + 2.46538i 0.132731 + 0.229898i
\(116\) 18.4286 + 1.80267i 1.71106 + 0.167373i
\(117\) 4.71282 + 3.99417i 0.435701 + 0.369261i
\(118\) −4.27089 8.30790i −0.393167 0.764804i
\(119\) −9.98075 + 11.2586i −0.914934 + 1.03207i
\(120\) −2.29265 + 9.53415i −0.209290 + 0.870344i
\(121\) 1.92419 3.33279i 0.174926 0.302981i
\(122\) −7.52250 + 11.6756i −0.681055 + 1.05706i
\(123\) −13.2471 + 6.13763i −1.19445 + 0.553412i
\(124\) 10.5082 4.76967i 0.943669 0.428329i
\(125\) 11.9967 1.07302
\(126\) 10.2035 + 4.67845i 0.909003 + 0.416789i
\(127\) 17.8415i 1.58317i 0.611056 + 0.791587i \(0.290745\pi\)
−0.611056 + 0.791587i \(0.709255\pi\)
\(128\) −3.78663 + 10.6612i −0.334694 + 0.942327i
\(129\) 4.93002 + 10.6407i 0.434064 + 0.936858i
\(130\) −3.15713 + 4.90014i −0.276898 + 0.429771i
\(131\) 2.10794 + 1.21702i 0.184172 + 0.106332i 0.589251 0.807950i \(-0.299423\pi\)
−0.405080 + 0.914281i \(0.632756\pi\)
\(132\) −10.1157 8.70937i −0.880458 0.758053i
\(133\) −0.246843 + 1.20712i −0.0214040 + 0.104671i
\(134\) −9.51540 + 4.89164i −0.822006 + 0.422573i
\(135\) −7.40847 + 7.30002i −0.637620 + 0.628286i
\(136\) −5.92624 14.9529i −0.508171 1.28220i
\(137\) 2.69513 1.55603i 0.230260 0.132941i −0.380432 0.924809i \(-0.624225\pi\)
0.610692 + 0.791868i \(0.290891\pi\)
\(138\) −0.480882 + 3.45039i −0.0409354 + 0.293717i
\(139\) 7.95494 0.674729 0.337364 0.941374i \(-0.390465\pi\)
0.337364 + 0.941374i \(0.390465\pi\)
\(140\) −3.12210 + 10.1210i −0.263866 + 0.855381i
\(141\) −6.19430 0.557275i −0.521654 0.0469310i
\(142\) 0.967838 19.8356i 0.0812192 1.66457i
\(143\) −3.96749 6.87189i −0.331778 0.574656i
\(144\) −9.38547 + 7.47750i −0.782122 + 0.623125i
\(145\) −9.26582 + 16.0489i −0.769485 + 1.33279i
\(146\) −5.08416 + 2.61364i −0.420768 + 0.216307i
\(147\) 10.6797 + 5.73959i 0.880851 + 0.473394i
\(148\) −1.06881 0.764820i −0.0878554 0.0628678i
\(149\) 5.27692 9.13990i 0.432302 0.748769i −0.564769 0.825249i \(-0.691035\pi\)
0.997071 + 0.0764797i \(0.0243680\pi\)
\(150\) 1.91938 + 1.49604i 0.156717 + 0.122151i
\(151\) 15.2482 8.80356i 1.24088 0.716424i 0.271608 0.962408i \(-0.412444\pi\)
0.969274 + 0.245984i \(0.0791111\pi\)
\(152\) −1.03254 0.817804i −0.0837503 0.0663327i
\(153\) 3.04501 16.7862i 0.246175 1.35708i
\(154\) −10.3100 10.0788i −0.830800 0.812172i
\(155\) 11.5494i 0.927674i
\(156\) −6.73365 + 2.35444i −0.539123 + 0.188506i
\(157\) 2.13267 1.23130i 0.170206 0.0982682i −0.412477 0.910968i \(-0.635336\pi\)
0.582683 + 0.812700i \(0.302003\pi\)
\(158\) −0.00431737 + 0.00670093i −0.000343471 + 0.000533097i
\(159\) 3.00214 4.26515i 0.238085 0.338248i
\(160\) −8.14954 7.86087i −0.644277 0.621457i
\(161\) −0.753863 + 3.68658i −0.0594127 + 0.290543i
\(162\) −12.6425 + 1.47247i −0.993286 + 0.115688i
\(163\) −4.83382 + 8.37243i −0.378614 + 0.655779i −0.990861 0.134888i \(-0.956933\pi\)
0.612247 + 0.790667i \(0.290266\pi\)
\(164\) 1.64124 16.7784i 0.128160 1.31017i
\(165\) 12.1215 5.61610i 0.943654 0.437213i
\(166\) 12.0979 + 0.590291i 0.938976 + 0.0458155i
\(167\) −12.7380 −0.985699 −0.492850 0.870114i \(-0.664045\pi\)
−0.492850 + 0.870114i \(0.664045\pi\)
\(168\) −10.6275 + 7.41993i −0.819933 + 0.572460i
\(169\) 8.75955 0.673811
\(170\) 16.0784 + 0.784514i 1.23316 + 0.0601695i
\(171\) −0.471369 1.31515i −0.0360465 0.100572i
\(172\) −13.4771 1.31832i −1.02762 0.100521i
\(173\) −5.87501 + 10.1758i −0.446668 + 0.773652i −0.998167 0.0605236i \(-0.980723\pi\)
0.551498 + 0.834176i \(0.314056\pi\)
\(174\) −21.0170 + 8.51949i −1.59329 + 0.645861i
\(175\) 1.96692 + 1.74368i 0.148685 + 0.131810i
\(176\) 14.5888 4.97393i 1.09967 0.374924i
\(177\) 9.35562 + 6.58520i 0.703212 + 0.494974i
\(178\) −7.19956 + 11.1744i −0.539630 + 0.837553i
\(179\) 8.89943 5.13809i 0.665175 0.384039i −0.129071 0.991635i \(-0.541200\pi\)
0.794246 + 0.607597i \(0.207866\pi\)
\(180\) −2.93217 11.6463i −0.218551 0.868065i
\(181\) 4.76352i 0.354070i −0.984205 0.177035i \(-0.943349\pi\)
0.984205 0.177035i \(-0.0566505\pi\)
\(182\) −7.41933 + 2.07844i −0.549957 + 0.154064i
\(183\) 1.52422 16.9422i 0.112673 1.25240i
\(184\) −3.15340 2.49759i −0.232472 0.184125i
\(185\) 1.13911 0.657668i 0.0837494 0.0483527i
\(186\) −8.68874 + 11.1474i −0.637090 + 0.817370i
\(187\) −10.9565 + 18.9772i −0.801217 + 1.38775i
\(188\) 4.17914 5.84020i 0.304795 0.425941i
\(189\) −13.7286 + 0.724423i −0.998611 + 0.0526940i
\(190\) 1.17240 0.602702i 0.0850548 0.0437246i
\(191\) −1.19496 + 2.06973i −0.0864644 + 0.149761i −0.906014 0.423247i \(-0.860890\pi\)
0.819550 + 0.573008i \(0.194224\pi\)
\(192\) −1.95207 13.7182i −0.140879 0.990027i
\(193\) −3.18130 5.51018i −0.228995 0.396631i 0.728515 0.685029i \(-0.240211\pi\)
−0.957511 + 0.288398i \(0.906877\pi\)
\(194\) −0.287613 + 5.89456i −0.0206494 + 0.423205i
\(195\) 0.639700 7.11049i 0.0458099 0.509192i
\(196\) −11.9625 + 7.27309i −0.854466 + 0.519507i
\(197\) −16.9051 −1.20444 −0.602219 0.798331i \(-0.705716\pi\)
−0.602219 + 0.798331i \(0.705716\pi\)
\(198\) 15.9246 + 3.69846i 1.13171 + 0.262838i
\(199\) 11.2472 6.49358i 0.797293 0.460318i −0.0452304 0.998977i \(-0.514402\pi\)
0.842524 + 0.538659i \(0.181069\pi\)
\(200\) −2.61233 + 1.03534i −0.184720 + 0.0732094i
\(201\) 7.54232 10.7154i 0.531994 0.755806i
\(202\) 13.2741 6.82389i 0.933962 0.480127i
\(203\) −23.2370 + 7.74931i −1.63092 + 0.543895i
\(204\) 14.9286 + 12.8531i 1.04521 + 0.899899i
\(205\) 14.6117 + 8.43610i 1.02053 + 0.589202i
\(206\) −8.14343 + 12.6393i −0.567379 + 0.880623i
\(207\) −1.43957 4.01650i −0.100057 0.279166i
\(208\) 1.59618 8.08081i 0.110675 0.560303i
\(209\) 1.79448i 0.124127i
\(210\) −2.36591 12.7544i −0.163264 0.880140i
\(211\) −4.34903 −0.299400 −0.149700 0.988731i \(-0.547831\pi\)
−0.149700 + 0.988731i \(0.547831\pi\)
\(212\) 2.48925 + 5.48416i 0.170962 + 0.376654i
\(213\) 10.2249 + 22.0688i 0.700599 + 1.51213i
\(214\) 4.30347 6.67937i 0.294179 0.456592i
\(215\) 6.77624 11.7368i 0.462136 0.800443i
\(216\) 5.93151 13.4468i 0.403588 0.914941i
\(217\) −10.1270 + 11.4235i −0.687464 + 0.775480i
\(218\) −6.83178 13.2894i −0.462707 0.900075i
\(219\) 4.02993 5.72533i 0.272317 0.386882i
\(220\) −1.50178 + 15.3527i −0.101250 + 1.03508i
\(221\) 5.85515 + 10.1414i 0.393860 + 0.682185i
\(222\) 1.59423 + 0.222189i 0.106998 + 0.0149124i
\(223\) 25.7814i 1.72645i 0.504820 + 0.863225i \(0.331559\pi\)
−0.504820 + 0.863225i \(0.668441\pi\)
\(224\) −1.16800 14.9210i −0.0780401 0.996950i
\(225\) −2.93262 0.531976i −0.195508 0.0354651i
\(226\) −22.4740 1.09657i −1.49495 0.0729430i
\(227\) −1.40958 + 0.813824i −0.0935574 + 0.0540154i −0.546049 0.837753i \(-0.683869\pi\)
0.452491 + 0.891769i \(0.350535\pi\)
\(228\) 1.58501 + 0.300283i 0.104970 + 0.0198867i
\(229\) −12.1735 7.02837i −0.804448 0.464448i 0.0405764 0.999176i \(-0.487081\pi\)
−0.845024 + 0.534728i \(0.820414\pi\)
\(230\) 3.58053 1.84066i 0.236093 0.121370i
\(231\) 16.9137 + 5.07366i 1.11284 + 0.333822i
\(232\) 3.81646 25.9068i 0.250563 1.70087i
\(233\) 15.5827 + 8.99668i 1.02086 + 0.589392i 0.914352 0.404920i \(-0.132701\pi\)
0.106505 + 0.994312i \(0.466034\pi\)
\(234\) 5.96671 6.38173i 0.390056 0.417187i
\(235\) 3.59364 + 6.22438i 0.234424 + 0.406033i
\(236\) −12.0295 + 5.46018i −0.783057 + 0.355427i
\(237\) 0.000874789 0.00972357i 5.68236e−5 0.000631614i
\(238\) 15.2152 + 14.8741i 0.986258 + 0.964145i
\(239\) 16.0533 1.03840 0.519200 0.854653i \(-0.326230\pi\)
0.519200 + 0.854653i \(0.326230\pi\)
\(240\) 13.3093 + 3.89556i 0.859111 + 0.251457i
\(241\) 3.64298 + 6.30983i 0.234665 + 0.406452i 0.959175 0.282812i \(-0.0912673\pi\)
−0.724510 + 0.689264i \(0.757934\pi\)
\(242\) −4.57505 2.94768i −0.294096 0.189484i
\(243\) 12.8782 8.78358i 0.826139 0.563467i
\(244\) 15.9737 + 11.4305i 1.02261 + 0.731761i
\(245\) −1.67988 13.9103i −0.107324 0.888697i
\(246\) 7.75660 + 19.1350i 0.494543 + 1.22000i
\(247\) 0.830491 + 0.479484i 0.0528429 + 0.0305089i
\(248\) −6.01306 15.1720i −0.381830 0.963422i
\(249\) −13.4599 + 6.23624i −0.852988 + 0.395205i
\(250\) 0.826835 16.9458i 0.0522936 1.07175i
\(251\) 22.3471i 1.41053i −0.708942 0.705267i \(-0.750827\pi\)
0.708942 0.705267i \(-0.249173\pi\)
\(252\) 7.31171 14.0904i 0.460594 0.887611i
\(253\) 5.48036i 0.344547i
\(254\) 25.2017 + 1.22966i 1.58129 + 0.0771560i
\(255\) −17.8886 + 8.28814i −1.12023 + 0.519024i
\(256\) 14.7983 + 6.08352i 0.924896 + 0.380220i
\(257\) −2.61954 1.51239i −0.163402 0.0943404i 0.416069 0.909333i \(-0.363408\pi\)
−0.579471 + 0.814993i \(0.696741\pi\)
\(258\) 15.3701 6.23044i 0.956898 0.387890i
\(259\) 1.70336 + 0.348318i 0.105842 + 0.0216434i
\(260\) 6.70401 + 4.79727i 0.415765 + 0.297514i
\(261\) 17.9577 21.1888i 1.11156 1.31155i
\(262\) 1.86436 2.89366i 0.115181 0.178771i
\(263\) −10.7454 18.6116i −0.662590 1.14764i −0.979933 0.199329i \(-0.936124\pi\)
0.317342 0.948311i \(-0.397210\pi\)
\(264\) −12.9995 + 13.6885i −0.800062 + 0.842468i
\(265\) −6.02755 −0.370270
\(266\) 1.68809 + 0.431871i 0.103503 + 0.0264797i
\(267\) 1.45878 16.2149i 0.0892760 0.992333i
\(268\) 6.25378 + 13.7780i 0.382010 + 0.841623i
\(269\) −10.9385 18.9460i −0.666929 1.15516i −0.978758 0.205017i \(-0.934275\pi\)
0.311829 0.950138i \(-0.399058\pi\)
\(270\) 9.80091 + 10.9678i 0.596465 + 0.667481i
\(271\) −9.03323 5.21534i −0.548729 0.316809i 0.199880 0.979820i \(-0.435945\pi\)
−0.748609 + 0.663011i \(0.769278\pi\)
\(272\) −21.5299 + 7.34043i −1.30544 + 0.445079i
\(273\) 6.86746 6.47206i 0.415637 0.391707i
\(274\) −2.01219 3.91420i −0.121561 0.236465i
\(275\) 3.31539 + 1.91414i 0.199925 + 0.115427i
\(276\) 4.84064 + 0.917069i 0.291373 + 0.0552011i
\(277\) −18.7719 + 10.8380i −1.12790 + 0.651191i −0.943405 0.331643i \(-0.892397\pi\)
−0.184492 + 0.982834i \(0.559064\pi\)
\(278\) 0.548268 11.2366i 0.0328829 0.673927i
\(279\) 3.08962 17.0321i 0.184971 1.01969i
\(280\) 14.0811 + 5.10763i 0.841505 + 0.305239i
\(281\) 8.35022i 0.498132i −0.968487 0.249066i \(-0.919876\pi\)
0.968487 0.249066i \(-0.0801236\pi\)
\(282\) −1.21409 + 8.71125i −0.0722981 + 0.518747i
\(283\) −11.3999 19.7453i −0.677656 1.17374i −0.975685 0.219178i \(-0.929662\pi\)
0.298028 0.954557i \(-0.403671\pi\)
\(284\) −27.9517 2.73421i −1.65863 0.162245i
\(285\) −0.929295 + 1.32025i −0.0550467 + 0.0782050i
\(286\) −9.98022 + 5.13058i −0.590143 + 0.303378i
\(287\) 7.05538 + 21.1562i 0.416466 + 1.24881i
\(288\) 9.91535 + 13.7726i 0.584268 + 0.811561i
\(289\) 7.66938 13.2838i 0.451140 0.781398i
\(290\) 22.0310 + 14.1944i 1.29370 + 0.833524i
\(291\) −3.03854 6.55821i −0.178122 0.384449i
\(292\) 3.34145 + 7.36169i 0.195544 + 0.430810i
\(293\) 6.51811 0.380792 0.190396 0.981707i \(-0.439023\pi\)
0.190396 + 0.981707i \(0.439023\pi\)
\(294\) 8.84343 14.6899i 0.515760 0.856733i
\(295\) 13.2215i 0.769784i
\(296\) −1.15400 + 1.45701i −0.0670747 + 0.0846872i
\(297\) −19.3781 + 5.03950i −1.12443 + 0.292421i
\(298\) −12.5467 8.08376i −0.726811 0.468280i
\(299\) 2.53633 + 1.46435i 0.146680 + 0.0846858i
\(300\) 2.24549 2.60808i 0.129644 0.150578i
\(301\) 16.9936 5.66719i 0.979496 0.326652i
\(302\) −11.3844 22.1454i −0.655098 1.27432i
\(303\) −10.5216 + 14.9481i −0.604452 + 0.858747i
\(304\) −1.22634 + 1.40214i −0.0703354 + 0.0804181i
\(305\) −17.0244 + 9.82906i −0.974817 + 0.562811i
\(306\) −23.5012 5.45812i −1.34347 0.312020i
\(307\) −12.7577 −0.728122 −0.364061 0.931375i \(-0.618610\pi\)
−0.364061 + 0.931375i \(0.618610\pi\)
\(308\) −14.9472 + 13.8685i −0.851696 + 0.790231i
\(309\) 1.65003 18.3406i 0.0938669 1.04336i
\(310\) 16.3140 + 0.796007i 0.926572 + 0.0452102i
\(311\) 4.72369 + 8.18167i 0.267856 + 0.463940i 0.968308 0.249760i \(-0.0803516\pi\)
−0.700452 + 0.713699i \(0.747018\pi\)
\(312\) 2.86163 + 9.67377i 0.162008 + 0.547670i
\(313\) 2.87628 4.98187i 0.162577 0.281592i −0.773215 0.634144i \(-0.781353\pi\)
0.935792 + 0.352552i \(0.114686\pi\)
\(314\) −1.59226 3.09733i −0.0898565 0.174792i
\(315\) 9.81649 + 12.4919i 0.553097 + 0.703836i
\(316\) 0.00916773 + 0.00656026i 0.000515725 + 0.000369043i
\(317\) −6.69015 + 11.5877i −0.375756 + 0.650829i −0.990440 0.137945i \(-0.955950\pi\)
0.614684 + 0.788774i \(0.289284\pi\)
\(318\) −5.81775 4.53458i −0.326243 0.254287i
\(319\) −30.8959 + 17.8378i −1.72984 + 0.998723i
\(320\) −11.6654 + 10.9697i −0.652117 + 0.613225i
\(321\) −0.871974 + 9.69229i −0.0486688 + 0.540971i
\(322\) 5.15546 + 1.31894i 0.287302 + 0.0735017i
\(323\) 2.64826i 0.147353i
\(324\) 1.20857 + 17.9594i 0.0671428 + 0.997743i
\(325\) 1.77174 1.02292i 0.0982787 0.0567412i
\(326\) 11.4932 + 7.40498i 0.636548 + 0.410124i
\(327\) 14.9654 + 10.5338i 0.827588 + 0.582520i
\(328\) −23.5869 3.47471i −1.30237 0.191859i
\(329\) −1.90329 + 9.30756i −0.104932 + 0.513142i
\(330\) −7.09750 17.5090i −0.390704 0.963841i
\(331\) 2.24337 3.88563i 0.123307 0.213573i −0.797763 0.602971i \(-0.793983\pi\)
0.921070 + 0.389398i \(0.127317\pi\)
\(332\) 1.66761 17.0480i 0.0915220 0.935628i
\(333\) −1.85580 + 0.665145i −0.101697 + 0.0364497i
\(334\) −0.877928 + 17.9929i −0.0480381 + 0.984528i
\(335\) −15.1431 −0.827358
\(336\) 9.74842 + 15.5232i 0.531820 + 0.846857i
\(337\) −9.02628 −0.491693 −0.245846 0.969309i \(-0.579066\pi\)
−0.245846 + 0.969309i \(0.579066\pi\)
\(338\) 0.603723 12.3732i 0.0328382 0.673011i
\(339\) 25.0043 11.5850i 1.35805 0.629209i
\(340\) 2.21630 22.6572i 0.120196 1.22876i
\(341\) −11.1170 + 19.2552i −0.602019 + 1.04273i
\(342\) −1.89019 + 0.575181i −0.102210 + 0.0311022i
\(343\) 10.5355 15.2317i 0.568863 0.822432i
\(344\) −2.79104 + 18.9461i −0.150483 + 1.02150i
\(345\) −2.83808 + 4.03208i −0.152797 + 0.217080i
\(346\) 13.9688 + 8.99997i 0.750965 + 0.483842i
\(347\) 0.882015 0.509232i 0.0473491 0.0273370i −0.476139 0.879370i \(-0.657964\pi\)
0.523488 + 0.852033i \(0.324631\pi\)
\(348\) 10.5855 + 30.2744i 0.567445 + 1.62288i
\(349\) 9.91220i 0.530588i 0.964168 + 0.265294i \(0.0854690\pi\)
−0.964168 + 0.265294i \(0.914531\pi\)
\(350\) 2.59856 2.65816i 0.138899 0.142085i
\(351\) −2.84552 + 10.3148i −0.151883 + 0.550564i
\(352\) −6.02035 20.9500i −0.320886 1.11664i
\(353\) 20.6381 11.9154i 1.09845 0.634192i 0.162638 0.986686i \(-0.448000\pi\)
0.935814 + 0.352494i \(0.114666\pi\)
\(354\) 9.94662 12.7613i 0.528657 0.678253i
\(355\) 14.0540 24.3422i 0.745909 1.29195i
\(356\) 15.2879 + 10.9398i 0.810259 + 0.579807i
\(357\) −24.9610 7.48761i −1.32107 0.396286i
\(358\) −6.64436 12.9249i −0.351165 0.683100i
\(359\) −1.66057 + 2.87619i −0.0876414 + 0.151799i −0.906514 0.422176i \(-0.861266\pi\)
0.818872 + 0.573976i \(0.194600\pi\)
\(360\) −16.6529 + 3.33910i −0.877685 + 0.175986i
\(361\) 9.39157 + 16.2667i 0.494293 + 0.856140i
\(362\) −6.72863 0.328310i −0.353649 0.0172556i
\(363\) 6.63876 + 0.597261i 0.348445 + 0.0313481i
\(364\) 2.42451 + 10.6233i 0.127079 + 0.556812i
\(365\) −8.09111 −0.423508
\(366\) −23.8263 3.32069i −1.24542 0.173575i
\(367\) 6.76756 3.90725i 0.353264 0.203957i −0.312858 0.949800i \(-0.601286\pi\)
0.666122 + 0.745843i \(0.267953\pi\)
\(368\) −3.74526 + 4.28215i −0.195235 + 0.223223i
\(369\) −19.2914 16.3497i −1.00427 0.851129i
\(370\) −0.850468 1.65436i −0.0442137 0.0860063i
\(371\) −5.96184 5.28518i −0.309524 0.274393i
\(372\) 15.1473 + 13.0414i 0.785350 + 0.676167i
\(373\) −27.0847 15.6374i −1.40239 0.809673i −0.407756 0.913091i \(-0.633689\pi\)
−0.994638 + 0.103418i \(0.967022\pi\)
\(374\) 26.0508 + 16.7843i 1.34705 + 0.867897i
\(375\) 8.73525 + 18.8536i 0.451086 + 0.973598i
\(376\) −7.96145 6.30570i −0.410580 0.325191i
\(377\) 19.0650i 0.981898i
\(378\) 0.0770714 + 19.4421i 0.00396412 + 0.999992i
\(379\) 19.1714 0.984768 0.492384 0.870378i \(-0.336126\pi\)
0.492384 + 0.870378i \(0.336126\pi\)
\(380\) −0.770533 1.69759i −0.0395275 0.0870847i
\(381\) −28.0390 + 12.9910i −1.43648 + 0.665550i
\(382\) 2.84121 + 1.83057i 0.145369 + 0.0936602i
\(383\) 13.9774 24.2095i 0.714209 1.23705i −0.249054 0.968490i \(-0.580120\pi\)
0.963264 0.268558i \(-0.0865469\pi\)
\(384\) −19.5120 + 1.81188i −0.995716 + 0.0924621i
\(385\) −6.45587 19.3585i −0.329021 0.986602i
\(386\) −8.00257 + 4.11392i −0.407320 + 0.209393i
\(387\) −13.1328 + 15.4957i −0.667576 + 0.787690i
\(388\) 8.30643 + 0.812526i 0.421695 + 0.0412497i
\(389\) 7.27120 + 12.5941i 0.368664 + 0.638545i 0.989357 0.145509i \(-0.0464819\pi\)
−0.620693 + 0.784054i \(0.713149\pi\)
\(390\) −9.99971 1.39366i −0.506355 0.0705709i
\(391\) 8.08782i 0.409019i
\(392\) 9.44901 + 17.3987i 0.477247 + 0.878769i
\(393\) −0.377759 + 4.19892i −0.0190554 + 0.211808i
\(394\) −1.16513 + 23.8790i −0.0586982 + 1.20301i
\(395\) −0.00977078 + 0.00564117i −0.000491622 + 0.000283838i
\(396\) 6.32174 22.2391i 0.317679 1.11756i
\(397\) 31.2547 + 18.0449i 1.56863 + 0.905647i 0.996330 + 0.0856008i \(0.0272810\pi\)
0.572297 + 0.820046i \(0.306052\pi\)
\(398\) −8.39722 16.3346i −0.420915 0.818780i
\(399\) −2.07681 + 0.491020i −0.103971 + 0.0245818i
\(400\) 1.28240 + 3.76136i 0.0641201 + 0.188068i
\(401\) 2.65616 + 1.53353i 0.132642 + 0.0765811i 0.564853 0.825192i \(-0.308933\pi\)
−0.432211 + 0.901773i \(0.642266\pi\)
\(402\) −14.6160 11.3923i −0.728982 0.568197i
\(403\) 5.94093 + 10.2900i 0.295939 + 0.512581i
\(404\) −8.72410 19.2204i −0.434040 0.956252i
\(405\) −16.8668 6.32749i −0.838120 0.314415i
\(406\) 9.34462 + 33.3572i 0.463766 + 1.65549i
\(407\) 2.53217 0.125515
\(408\) 19.1844 20.2012i 0.949768 1.00011i
\(409\) −13.6122 23.5770i −0.673080 1.16581i −0.977026 0.213119i \(-0.931638\pi\)
0.303947 0.952689i \(-0.401696\pi\)
\(410\) 12.9233 20.0581i 0.638238 0.990601i
\(411\) 4.40782 + 3.10256i 0.217422 + 0.153038i
\(412\) 17.2922 + 12.3740i 0.851925 + 0.609622i
\(413\) 11.5931 13.0773i 0.570457 0.643494i
\(414\) −5.77266 + 1.75661i −0.283711 + 0.0863329i
\(415\) 14.8465 + 8.57162i 0.728785 + 0.420764i
\(416\) −11.3044 2.81160i −0.554244 0.137850i
\(417\) 5.79228 + 12.5017i 0.283649 + 0.612211i
\(418\) 2.53476 + 0.123678i 0.123979 + 0.00604931i
\(419\) 8.16587i 0.398929i −0.979905 0.199465i \(-0.936080\pi\)
0.979905 0.199465i \(-0.0639203\pi\)
\(420\) −18.1791 + 2.46287i −0.887051 + 0.120176i
\(421\) 7.30698i 0.356121i −0.984020 0.178060i \(-0.943018\pi\)
0.984020 0.178060i \(-0.0569822\pi\)
\(422\) −0.299743 + 6.14316i −0.0145913 + 0.299044i
\(423\) −3.63450 10.1405i −0.176715 0.493049i
\(424\) 7.91812 3.13817i 0.384538 0.152403i
\(425\) −4.89279 2.82485i −0.237335 0.137026i
\(426\) 31.8777 12.9220i 1.54448 0.626073i
\(427\) −25.4573 5.20573i −1.23197 0.251923i
\(428\) −9.13822 6.53915i −0.441713 0.316082i
\(429\) 7.91075 11.2388i 0.381935 0.542616i
\(430\) −16.1116 10.3806i −0.776970 0.500596i
\(431\) 1.44464 + 2.50219i 0.0695858 + 0.120526i 0.898719 0.438525i \(-0.144499\pi\)
−0.829133 + 0.559051i \(0.811166\pi\)
\(432\) −18.5853 9.30524i −0.894185 0.447699i
\(433\) 23.0768 1.10900 0.554499 0.832184i \(-0.312910\pi\)
0.554499 + 0.832184i \(0.312910\pi\)
\(434\) 15.4382 + 15.0920i 0.741055 + 0.724440i
\(435\) −31.9686 2.87608i −1.53278 0.137898i
\(436\) −19.2426 + 8.73418i −0.921556 + 0.418292i
\(437\) −0.331160 0.573586i −0.0158415 0.0274384i
\(438\) −7.80947 6.08701i −0.373151 0.290848i
\(439\) −2.57178 1.48482i −0.122744 0.0708664i 0.437371 0.899281i \(-0.355910\pi\)
−0.560115 + 0.828415i \(0.689243\pi\)
\(440\) 21.5827 + 3.17945i 1.02891 + 0.151574i
\(441\) −1.24384 + 20.9631i −0.0592304 + 0.998244i
\(442\) 14.7286 7.57163i 0.700569 0.360146i
\(443\) −17.0338 9.83448i −0.809301 0.467250i 0.0374121 0.999300i \(-0.488089\pi\)
−0.846713 + 0.532050i \(0.821422\pi\)
\(444\) 0.423727 2.23659i 0.0201092 0.106144i
\(445\) −16.2936 + 9.40711i −0.772390 + 0.445940i
\(446\) 36.4171 + 1.77690i 1.72440 + 0.0841385i
\(447\) 18.2063 + 1.63794i 0.861127 + 0.0774719i
\(448\) −21.1569 + 0.621455i −0.999569 + 0.0293610i
\(449\) 36.3243i 1.71425i 0.515111 + 0.857124i \(0.327751\pi\)
−0.515111 + 0.857124i \(0.672249\pi\)
\(450\) −0.953554 + 4.10575i −0.0449510 + 0.193547i
\(451\) 16.2404 + 28.1293i 0.764733 + 1.32456i
\(452\) −3.09789 + 31.6697i −0.145713 + 1.48962i
\(453\) 24.9381 + 17.5534i 1.17170 + 0.824730i
\(454\) 1.05240 + 2.04717i 0.0493917 + 0.0960786i
\(455\) −10.6842 2.18480i −0.500884 0.102425i
\(456\) 0.533401 2.21818i 0.0249788 0.103876i
\(457\) −13.7632 + 23.8385i −0.643814 + 1.11512i 0.340760 + 0.940150i \(0.389316\pi\)
−0.984574 + 0.174968i \(0.944018\pi\)
\(458\) −10.7668 + 16.7111i −0.503101 + 0.780857i
\(459\) 28.5978 7.43720i 1.33483 0.347139i
\(460\) −2.35322 5.18448i −0.109719 0.241728i
\(461\) 19.4067 0.903861 0.451931 0.892053i \(-0.350735\pi\)
0.451931 + 0.892053i \(0.350735\pi\)
\(462\) 8.33243 23.5415i 0.387660 1.09525i
\(463\) 8.27807i 0.384715i −0.981325 0.192357i \(-0.938387\pi\)
0.981325 0.192357i \(-0.0616132\pi\)
\(464\) −36.3312 7.17642i −1.68663 0.333157i
\(465\) −18.1507 + 8.40957i −0.841719 + 0.389984i
\(466\) 13.7821 21.3910i 0.638443 0.990920i
\(467\) −13.6618 7.88767i −0.632194 0.364998i 0.149407 0.988776i \(-0.452264\pi\)
−0.781601 + 0.623778i \(0.785597\pi\)
\(468\) −8.60317 8.86802i −0.397682 0.409924i
\(469\) −14.9781 13.2780i −0.691622 0.613123i
\(470\) 9.03982 4.64715i 0.416976 0.214357i
\(471\) 3.48794 + 2.45508i 0.160716 + 0.113124i
\(472\) 6.88358 + 17.3685i 0.316843 + 0.799448i
\(473\) 22.5947 13.0450i 1.03890 0.599812i
\(474\) −0.0136746 0.00190583i −0.000628094 8.75378e-5i
\(475\) −0.462661 −0.0212283
\(476\) 22.0588 20.4669i 1.01106 0.938099i
\(477\) 8.88892 + 1.61245i 0.406996 + 0.0738289i
\(478\) 1.10642 22.6758i 0.0506064 1.03717i
\(479\) 6.21288 + 10.7610i 0.283874 + 0.491684i 0.972335 0.233589i \(-0.0750470\pi\)
−0.688462 + 0.725273i \(0.741714\pi\)
\(480\) 6.41990 18.5313i 0.293027 0.845835i
\(481\) 0.676597 1.17190i 0.0308502 0.0534340i
\(482\) 9.16393 4.71095i 0.417405 0.214578i
\(483\) −6.34261 + 1.49959i −0.288599 + 0.0682335i
\(484\) −4.47901 + 6.25926i −0.203591 + 0.284512i
\(485\) −4.17643 + 7.23379i −0.189642 + 0.328470i
\(486\) −11.5195 18.7963i −0.522536 0.852617i
\(487\) −13.8846 + 8.01628i −0.629172 + 0.363252i −0.780431 0.625242i \(-0.785000\pi\)
0.151260 + 0.988494i \(0.451667\pi\)
\(488\) 17.2469 21.7755i 0.780729 0.985733i
\(489\) −16.6775 1.50040i −0.754183 0.0678506i
\(490\) −19.7646 + 1.41417i −0.892872 + 0.0638857i
\(491\) 9.44091i 0.426062i 0.977045 + 0.213031i \(0.0683336\pi\)
−0.977045 + 0.213031i \(0.931666\pi\)
\(492\) 27.5634 9.63764i 1.24265 0.434498i
\(493\) 45.5956 26.3247i 2.05352 1.18560i
\(494\) 0.734526 1.14005i 0.0330479 0.0512933i
\(495\) 17.6521 + 14.9604i 0.793405 + 0.672419i
\(496\) −21.8454 + 7.44797i −0.980886 + 0.334424i
\(497\) 35.2449 11.7538i 1.58095 0.527231i
\(498\) 7.88121 + 19.4424i 0.353165 + 0.871235i
\(499\) 15.9322 27.5954i 0.713225 1.23534i −0.250415 0.968139i \(-0.580567\pi\)
0.963640 0.267203i \(-0.0860995\pi\)
\(500\) −23.8795 2.33586i −1.06792 0.104463i
\(501\) −9.27503 20.0187i −0.414378 0.894368i
\(502\) −31.5660 1.54020i −1.40886 0.0687424i
\(503\) 5.16274 0.230195 0.115098 0.993354i \(-0.463282\pi\)
0.115098 + 0.993354i \(0.463282\pi\)
\(504\) −19.3992 11.2992i −0.864109 0.503305i
\(505\) 21.1248 0.940043
\(506\) 7.74119 + 0.377716i 0.344138 + 0.0167915i
\(507\) 6.37814 + 13.7662i 0.283263 + 0.611378i
\(508\) 3.47388 35.5134i 0.154129 1.57565i
\(509\) −1.78554 + 3.09264i −0.0791426 + 0.137079i −0.902880 0.429892i \(-0.858552\pi\)
0.823738 + 0.566971i \(0.191885\pi\)
\(510\) 10.4744 + 25.8395i 0.463813 + 1.14419i
\(511\) −8.00290 7.09458i −0.354028 0.313846i
\(512\) 9.61311 20.4839i 0.424843 0.905267i
\(513\) 1.72363 1.69840i 0.0761001 0.0749861i
\(514\) −2.31685 + 3.59595i −0.102192 + 0.158610i
\(515\) −18.4297 + 10.6404i −0.812109 + 0.468871i
\(516\) −7.74137 22.1401i −0.340795 0.974665i
\(517\) 13.8363i 0.608522i
\(518\) 0.609410 2.38205i 0.0267759 0.104661i
\(519\) −20.2698 1.82358i −0.889743 0.0800464i
\(520\) 7.23836 9.13901i 0.317423 0.400772i
\(521\) 5.95306 3.43700i 0.260808 0.150578i −0.363895 0.931440i \(-0.618553\pi\)
0.624703 + 0.780862i \(0.285220\pi\)
\(522\) −28.6922 26.8262i −1.25582 1.17415i
\(523\) −6.59397 + 11.4211i −0.288334 + 0.499410i −0.973412 0.229060i \(-0.926435\pi\)
0.685078 + 0.728470i \(0.259768\pi\)
\(524\) −3.95889 2.83291i −0.172945 0.123756i
\(525\) −1.30812 + 4.36078i −0.0570908 + 0.190320i
\(526\) −27.0301 + 13.8955i −1.17857 + 0.605873i
\(527\) 16.4063 28.4165i 0.714668 1.23784i
\(528\) 18.4395 + 19.3056i 0.802476 + 0.840169i
\(529\) 10.4886 + 18.1668i 0.456027 + 0.789863i
\(530\) −0.415429 + 8.51412i −0.0180451 + 0.369830i
\(531\) −3.53691 + 19.4979i −0.153489 + 0.846137i
\(532\) 0.726378 2.35472i 0.0314925 0.102090i
\(533\) 17.3578 0.751850
\(534\) −22.8035 3.17813i −0.986803 0.137531i
\(535\) 9.73934 5.62301i 0.421069 0.243104i
\(536\) 19.8929 7.88407i 0.859240 0.340540i
\(537\) 14.5548 + 10.2448i 0.628087 + 0.442096i
\(538\) −27.5157 + 14.1451i −1.18629 + 0.609840i
\(539\) 10.5888 24.8082i 0.456091 1.06857i
\(540\) 16.1679 13.0882i 0.695757 0.563226i
\(541\) 2.61534 + 1.50996i 0.112442 + 0.0649185i 0.555166 0.831739i \(-0.312655\pi\)
−0.442724 + 0.896658i \(0.645988\pi\)
\(542\) −7.98942 + 12.4003i −0.343175 + 0.532638i
\(543\) 7.48619 3.46849i 0.321263 0.148847i
\(544\) 8.88473 + 30.9177i 0.380929 + 1.32558i
\(545\) 21.1493i 0.905936i
\(546\) −8.66868 10.1466i −0.370985 0.434233i
\(547\) −8.67520 −0.370925 −0.185462 0.982651i \(-0.559378\pi\)
−0.185462 + 0.982651i \(0.559378\pi\)
\(548\) −5.66762 + 2.57252i −0.242109 + 0.109892i
\(549\) 27.7356 9.94081i 1.18373 0.424263i
\(550\) 2.93229 4.55117i 0.125033 0.194063i
\(551\) 2.15575 3.73388i 0.0918382 0.159068i
\(552\) 1.62902 6.77437i 0.0693355 0.288336i
\(553\) −0.0146106 0.00298771i −0.000621308 0.000127050i
\(554\) 14.0152 + 27.2630i 0.595450 + 1.15829i
\(555\) 1.86300 + 1.31132i 0.0790799 + 0.0556625i
\(556\) −15.8343 1.54889i −0.671524 0.0656877i
\(557\) 3.73163 + 6.46337i 0.158114 + 0.273862i 0.934189 0.356780i \(-0.116125\pi\)
−0.776075 + 0.630641i \(0.782792\pi\)
\(558\) −23.8455 5.53808i −1.00946 0.234446i
\(559\) 13.9425i 0.589707i
\(560\) 8.18519 19.5380i 0.345887 0.825629i
\(561\) −37.8017 3.40086i −1.59599 0.143584i
\(562\) −11.7950 0.575511i −0.497540 0.0242765i
\(563\) −35.8665 + 20.7076i −1.51159 + 0.872720i −0.511687 + 0.859172i \(0.670979\pi\)
−0.999908 + 0.0135474i \(0.995688\pi\)
\(564\) 12.2212 + 2.31534i 0.514607 + 0.0974933i
\(565\) −27.5801 15.9234i −1.16030 0.669901i
\(566\) −28.6766 + 14.7419i −1.20537 + 0.619649i
\(567\) −11.1348 21.0480i −0.467617 0.883931i
\(568\) −5.78864 + 39.2943i −0.242886 + 1.64875i
\(569\) −29.0674 16.7821i −1.21857 0.703541i −0.253958 0.967215i \(-0.581732\pi\)
−0.964612 + 0.263674i \(0.915066\pi\)
\(570\) 1.80085 + 1.40365i 0.0754294 + 0.0587926i
\(571\) 11.7720 + 20.3898i 0.492645 + 0.853286i 0.999964 0.00847253i \(-0.00269692\pi\)
−0.507319 + 0.861758i \(0.669364\pi\)
\(572\) 6.55927 + 14.4510i 0.274257 + 0.604226i
\(573\) −4.12282 0.370912i −0.172233 0.0154951i
\(574\) 30.3702 8.50784i 1.26763 0.355110i
\(575\) −1.41297 −0.0589251
\(576\) 20.1377 13.0565i 0.839071 0.544022i
\(577\) 11.5230 + 19.9584i 0.479708 + 0.830879i 0.999729 0.0232743i \(-0.00740910\pi\)
−0.520021 + 0.854154i \(0.674076\pi\)
\(578\) −18.2352 11.7488i −0.758483 0.488685i
\(579\) 6.34318 9.01178i 0.263614 0.374517i
\(580\) 21.5685 30.1412i 0.895582 1.25154i
\(581\) 7.16873 + 21.4961i 0.297409 + 0.891809i
\(582\) −9.47310 + 3.84004i −0.392673 + 0.159175i
\(583\) −10.0491 5.80186i −0.416192 0.240289i
\(584\) 10.6289 4.21253i 0.439828 0.174316i
\(585\) 11.6404 4.17207i 0.481271 0.172494i
\(586\) 0.449239 9.20704i 0.0185579 0.380339i
\(587\) 35.2560i 1.45517i 0.686017 + 0.727585i \(0.259358\pi\)
−0.686017 + 0.727585i \(0.740642\pi\)
\(588\) −20.1405 13.5041i −0.830580 0.556900i
\(589\) 2.68705i 0.110718i
\(590\) −18.6758 0.911246i −0.768869 0.0375154i
\(591\) −12.3092 26.5674i −0.506333 1.09284i
\(592\) 1.97854 + 1.73048i 0.0813177 + 0.0711222i
\(593\) 15.9344 + 9.19971i 0.654346 + 0.377787i 0.790119 0.612953i \(-0.210019\pi\)
−0.135773 + 0.990740i \(0.543352\pi\)
\(594\) 5.78289 + 27.7195i 0.237275 + 1.13734i
\(595\) 9.52745 + 28.5690i 0.390587 + 1.17121i
\(596\) −12.2833 + 17.1655i −0.503145 + 0.703126i
\(597\) 18.3946 + 12.9475i 0.752840 + 0.529907i
\(598\) 2.24326 3.48173i 0.0917336 0.142379i
\(599\) −3.46929 6.00898i −0.141751 0.245520i 0.786405 0.617711i \(-0.211940\pi\)
−0.928156 + 0.372191i \(0.878607\pi\)
\(600\) −3.52923 3.35159i −0.144080 0.136828i
\(601\) 17.3861 0.709194 0.354597 0.935019i \(-0.384618\pi\)
0.354597 + 0.935019i \(0.384618\pi\)
\(602\) −6.83387 24.3946i −0.278528 0.994251i
\(603\) 22.3318 + 4.05098i 0.909421 + 0.164969i
\(604\) −32.0657 + 14.5545i −1.30473 + 0.592215i
\(605\) −3.85150 6.67099i −0.156586 0.271214i
\(606\) 20.3895 + 15.8924i 0.828268 + 0.645585i
\(607\) 21.1329 + 12.2011i 0.857757 + 0.495226i 0.863261 0.504758i \(-0.168418\pi\)
−0.00550324 + 0.999985i \(0.501752\pi\)
\(608\) 1.89604 + 1.82888i 0.0768947 + 0.0741710i
\(609\) −29.0983 30.8760i −1.17912 1.25116i
\(610\) 12.7105 + 24.7250i 0.514634 + 1.00109i
\(611\) 6.40352 + 3.69707i 0.259059 + 0.149568i
\(612\) −9.32951 + 32.8201i −0.377123 + 1.32667i
\(613\) −7.71712 + 4.45548i −0.311692 + 0.179955i −0.647683 0.761910i \(-0.724262\pi\)
0.335992 + 0.941865i \(0.390929\pi\)
\(614\) −0.879284 + 18.0207i −0.0354850 + 0.727256i
\(615\) −2.61854 + 29.1059i −0.105590 + 1.17366i
\(616\) 18.5595 + 22.0693i 0.747785 + 0.889196i
\(617\) 43.3713i 1.74606i −0.487664 0.873031i \(-0.662151\pi\)
0.487664 0.873031i \(-0.337849\pi\)
\(618\) −25.7930 3.59479i −1.03755 0.144604i
\(619\) −18.4061 31.8804i −0.739806 1.28138i −0.952583 0.304280i \(-0.901584\pi\)
0.212777 0.977101i \(-0.431749\pi\)
\(620\) 2.24877 22.9892i 0.0903129 0.923267i
\(621\) 5.26399 5.18694i 0.211237 0.208145i
\(622\) 11.8824 6.10847i 0.476442 0.244927i
\(623\) −24.3644 4.98225i −0.976141 0.199610i
\(624\) 13.8618 3.37542i 0.554914 0.135125i
\(625\) 9.52276 16.4939i 0.380910 0.659756i
\(626\) −6.83882 4.40621i −0.273334 0.176107i
\(627\) −2.82014 + 1.30662i −0.112625 + 0.0521815i
\(628\) −4.48482 + 2.03565i −0.178964 + 0.0812312i
\(629\) −3.73693 −0.149001
\(630\) 18.3217 13.0052i 0.729955 0.518138i
\(631\) 23.1113i 0.920045i 0.887907 + 0.460023i \(0.152159\pi\)
−0.887907 + 0.460023i \(0.847841\pi\)
\(632\) 0.00989844 0.0124976i 0.000393739 0.000497127i
\(633\) −3.16669 6.83479i −0.125865 0.271659i
\(634\) 15.9069 + 10.2487i 0.631743 + 0.407028i
\(635\) 30.9275 + 17.8560i 1.22732 + 0.708593i
\(636\) −6.80621 + 7.90523i −0.269884 + 0.313463i
\(637\) −8.65203 11.5293i −0.342806 0.456807i
\(638\) 23.0670 + 44.8709i 0.913233 + 1.77646i
\(639\) −27.2375 + 32.1382i −1.07750 + 1.27137i
\(640\) 14.6911 + 17.2338i 0.580716 + 0.681228i
\(641\) 12.0471 6.95538i 0.475831 0.274721i −0.242847 0.970065i \(-0.578081\pi\)
0.718677 + 0.695344i \(0.244748\pi\)
\(642\) 13.6306 + 1.89970i 0.537956 + 0.0749752i
\(643\) 13.6551 0.538505 0.269252 0.963070i \(-0.413223\pi\)
0.269252 + 0.963070i \(0.413223\pi\)
\(644\) 2.21837 7.19135i 0.0874161 0.283379i
\(645\) 23.3792 + 2.10332i 0.920554 + 0.0828183i
\(646\) −3.74075 0.182522i −0.147178 0.00718124i
\(647\) 15.7948 + 27.3574i 0.620958 + 1.07553i 0.989308 + 0.145843i \(0.0465895\pi\)
−0.368350 + 0.929687i \(0.620077\pi\)
\(648\) 25.4515 0.469354i 0.999830 0.0184380i
\(649\) 12.7264 22.0428i 0.499556 0.865256i
\(650\) −1.32279 2.57315i −0.0518842 0.100927i
\(651\) −25.3267 7.59731i −0.992630 0.297762i
\(652\) 11.2519 15.7241i 0.440659 0.615804i
\(653\) −15.3505 + 26.5879i −0.600713 + 1.04047i 0.392000 + 0.919965i \(0.371783\pi\)
−0.992713 + 0.120500i \(0.961550\pi\)
\(654\) 15.9108 20.4131i 0.622161 0.798216i
\(655\) 4.21931 2.43602i 0.164862 0.0951832i
\(656\) −6.53379 + 33.0778i −0.255102 + 1.29147i
\(657\) 11.9321 + 2.16447i 0.465514 + 0.0844442i
\(658\) 13.0161 + 3.32995i 0.507419 + 0.129815i
\(659\) 20.0419i 0.780720i 0.920662 + 0.390360i \(0.127649\pi\)
−0.920662 + 0.390360i \(0.872351\pi\)
\(660\) −25.2213 + 8.81870i −0.981736 + 0.343267i
\(661\) −27.8066 + 16.0541i −1.08155 + 0.624434i −0.931314 0.364216i \(-0.881337\pi\)
−0.150237 + 0.988650i \(0.548004\pi\)
\(662\) −5.33396 3.43664i −0.207310 0.133569i
\(663\) −11.6746 + 16.5861i −0.453402 + 0.644150i
\(664\) −23.9659 3.53053i −0.930056 0.137011i
\(665\) 1.84546 + 1.63600i 0.0715637 + 0.0634413i
\(666\) 0.811634 + 2.66723i 0.0314502 + 0.103353i
\(667\) 6.58371 11.4033i 0.254922 0.441538i
\(668\) 25.3551 + 2.48020i 0.981017 + 0.0959620i
\(669\) −40.5171 + 18.7724i −1.56648 + 0.725781i
\(670\) −1.04369 + 21.3902i −0.0403213 + 0.826375i
\(671\) −37.8441 −1.46096
\(672\) 22.5988 12.7001i 0.871769 0.489917i
\(673\) −39.5520 −1.52462 −0.762308 0.647214i \(-0.775934\pi\)
−0.762308 + 0.647214i \(0.775934\pi\)
\(674\) −0.622106 + 12.7499i −0.0239626 + 0.491108i
\(675\) −1.29931 4.99615i −0.0500104 0.192302i
\(676\) −17.4359 1.70556i −0.670611 0.0655983i
\(677\) 20.5606 35.6119i 0.790206 1.36868i −0.135633 0.990759i \(-0.543307\pi\)
0.925839 0.377918i \(-0.123360\pi\)
\(678\) −14.6408 36.1178i −0.562277 1.38710i
\(679\) −10.4738 + 3.49289i −0.401946 + 0.134045i
\(680\) −31.8513 4.69218i −1.22144 0.179937i
\(681\) −2.30535 1.62268i −0.0883411 0.0621812i
\(682\) 26.4324 + 17.0302i 1.01215 + 0.652121i
\(683\) −1.63043 + 0.941329i −0.0623866 + 0.0360189i −0.530869 0.847454i \(-0.678134\pi\)
0.468482 + 0.883473i \(0.344801\pi\)
\(684\) 0.682188 + 2.70959i 0.0260841 + 0.103604i
\(685\) 6.22919i 0.238005i
\(686\) −20.7891 15.9315i −0.793731 0.608269i
\(687\) 2.18159 24.2491i 0.0832327 0.925159i
\(688\) 26.5696 + 5.24823i 1.01296 + 0.200087i
\(689\) −5.37025 + 3.10052i −0.204590 + 0.118120i
\(690\) 5.49983 + 4.28678i 0.209375 + 0.163195i
\(691\) 4.71705 8.17016i 0.179445 0.310808i −0.762246 0.647288i \(-0.775903\pi\)
0.941691 + 0.336480i \(0.109237\pi\)
\(692\) 13.6755 19.1110i 0.519865 0.726492i
\(693\) 4.34190 + 30.2753i 0.164935 + 1.15006i
\(694\) −0.658517 1.28097i −0.0249970 0.0486251i
\(695\) 7.96141 13.7896i 0.301993 0.523068i
\(696\) 43.4931 12.8659i 1.64860 0.487679i
\(697\) −23.9674 41.5127i −0.907829 1.57241i
\(698\) 14.0013 + 0.683165i 0.529957 + 0.0258582i
\(699\) −2.79254 + 31.0401i −0.105624 + 1.17404i
\(700\) −3.57565 3.85376i −0.135147 0.145659i
\(701\) −23.3839 −0.883197 −0.441598 0.897213i \(-0.645588\pi\)
−0.441598 + 0.897213i \(0.645588\pi\)
\(702\) 14.3739 + 4.73031i 0.542507 + 0.178534i
\(703\) −0.265022 + 0.153011i −0.00999551 + 0.00577091i
\(704\) −30.0075 + 7.06003i −1.13095 + 0.266085i
\(705\) −7.16535 + 10.1798i −0.269863 + 0.383395i
\(706\) −15.4085 29.9732i −0.579905 1.12805i
\(707\) 20.8946 + 18.5230i 0.785821 + 0.696630i
\(708\) −17.3402 14.9295i −0.651683 0.561084i
\(709\) 19.2646 + 11.1224i 0.723496 + 0.417711i 0.816038 0.577998i \(-0.196166\pi\)
−0.0925419 + 0.995709i \(0.529499\pi\)
\(710\) −33.4156 21.5294i −1.25406 0.807986i
\(711\) 0.0159182 0.00570530i 0.000596979 0.000213965i
\(712\) 16.5065 20.8407i 0.618606 0.781039i
\(713\) 8.20631i 0.307329i
\(714\) −12.2969 + 34.7421i −0.460198 + 1.30019i
\(715\) −15.8829 −0.593985
\(716\) −18.7147 + 8.49457i −0.699403 + 0.317457i
\(717\) 11.6890 + 25.2288i 0.436532 + 0.942185i
\(718\) 3.94826 + 2.54384i 0.147348 + 0.0949352i
\(719\) −21.5877 + 37.3910i −0.805086 + 1.39445i 0.111148 + 0.993804i \(0.464547\pi\)
−0.916233 + 0.400645i \(0.868786\pi\)
\(720\) 3.56884 + 23.7529i 0.133003 + 0.885219i
\(721\) −27.5586 5.63543i −1.02634 0.209874i
\(722\) 23.6245 12.1448i 0.879213 0.451982i
\(723\) −7.26373 + 10.3196i −0.270141 + 0.383790i
\(724\) −0.927497 + 9.48179i −0.0344702 + 0.352388i
\(725\) −4.59902 7.96574i −0.170803 0.295840i
\(726\) 1.30121 9.33631i 0.0482923 0.346503i
\(727\) 18.5349i 0.687423i 0.939075 + 0.343712i \(0.111684\pi\)
−0.939075 + 0.343712i \(0.888316\pi\)
\(728\) 15.1729 2.69252i 0.562344 0.0997915i
\(729\) 23.1811 + 13.8433i 0.858558 + 0.512716i
\(730\) −0.557653 + 11.4290i −0.0206397 + 0.423005i
\(731\) −33.3448 + 19.2516i −1.23330 + 0.712048i
\(732\) −6.33274 + 33.4266i −0.234065 + 1.23548i
\(733\) −7.89497 4.55816i −0.291607 0.168360i 0.347059 0.937843i \(-0.387180\pi\)
−0.638666 + 0.769484i \(0.720514\pi\)
\(734\) −5.05269 9.82870i −0.186498 0.362784i
\(735\) 20.6378 12.7686i 0.761236 0.470979i
\(736\) 5.79055 + 5.58544i 0.213442 + 0.205882i
\(737\) −25.2466 14.5761i −0.929970 0.536919i
\(738\) −24.4240 + 26.1229i −0.899061 + 0.961596i
\(739\) −16.9014 29.2741i −0.621728 1.07686i −0.989164 0.146815i \(-0.953098\pi\)
0.367436 0.930049i \(-0.380236\pi\)
\(740\) −2.39546 + 1.08729i −0.0880589 + 0.0399697i
\(741\) −0.148830 + 1.65430i −0.00546742 + 0.0607723i
\(742\) −7.87639 + 8.05704i −0.289151 + 0.295783i
\(743\) −19.4548 −0.713726 −0.356863 0.934157i \(-0.616154\pi\)
−0.356863 + 0.934157i \(0.616154\pi\)
\(744\) 19.4654 20.4972i 0.713638 0.751464i
\(745\) −10.5624 18.2947i −0.386977 0.670264i
\(746\) −23.9550 + 37.1803i −0.877056 + 1.36127i
\(747\) −19.6013 16.6123i −0.717174 0.607813i
\(748\) 25.5039 35.6408i 0.932515 1.30316i
\(749\) 14.5636 + 2.97810i 0.532143 + 0.108817i
\(750\) 27.2335 11.0394i 0.994425 0.403102i
\(751\) −10.6440 6.14534i −0.388407 0.224247i 0.293063 0.956093i \(-0.405325\pi\)
−0.681470 + 0.731847i \(0.738659\pi\)
\(752\) −9.45572 + 10.8112i −0.344815 + 0.394244i
\(753\) 35.1199 16.2717i 1.27984 0.592974i
\(754\) 26.9300 + 1.31399i 0.980731 + 0.0478528i
\(755\) 35.2429i 1.28262i
\(756\) 27.4679 + 1.23111i 0.998997 + 0.0447752i
\(757\) 10.4294i 0.379064i −0.981875 0.189532i \(-0.939303\pi\)
0.981875 0.189532i \(-0.0606970\pi\)
\(758\) 1.32132 27.0802i 0.0479926 0.983597i
\(759\) −8.61275 + 3.99045i −0.312623 + 0.144844i
\(760\) −2.45101 + 0.971402i −0.0889076 + 0.0352365i
\(761\) 21.5087 + 12.4181i 0.779691 + 0.450155i 0.836321 0.548241i \(-0.184702\pi\)
−0.0566301 + 0.998395i \(0.518036\pi\)
\(762\) 16.4177 + 40.5014i 0.594752 + 1.46721i
\(763\) 18.5445 20.9187i 0.671354 0.757308i
\(764\) 2.78157 3.88714i 0.100633 0.140632i
\(765\) −26.0507 22.0783i −0.941866 0.798241i
\(766\) −33.2334 21.4120i −1.20077 0.773648i
\(767\) −6.80100 11.7797i −0.245570 0.425340i
\(768\) 1.21454 + 27.6862i 0.0438261 + 0.999039i
\(769\) 0.929396 0.0335149 0.0167574 0.999860i \(-0.494666\pi\)
0.0167574 + 0.999860i \(0.494666\pi\)
\(770\) −27.7895 + 7.78490i −1.00146 + 0.280548i
\(771\) 0.469442 5.21800i 0.0169065 0.187922i
\(772\) 5.25950 + 11.5874i 0.189294 + 0.417041i
\(773\) −15.9577 27.6396i −0.573959