Properties

Label 637.2.bl.b.53.27
Level $637$
Weight $2$
Character 637.53
Analytic conductor $5.086$
Analytic rank $0$
Dimension $348$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(348\)
Relative dimension: \(29\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 53.27
Character \(\chi\) \(=\) 637.53
Dual form 637.2.bl.b.625.27

$q$-expansion

\(f(q)\) \(=\) \(q+(2.04235 + 1.39245i) q^{2} +(2.02170 + 1.87586i) q^{3} +(1.50160 + 3.82602i) q^{4} +(-0.574996 + 0.177363i) q^{5} +(1.51697 + 6.64630i) q^{6} +(-0.954237 - 2.46768i) q^{7} +(-1.16067 + 5.08521i) q^{8} +(0.344217 + 4.59325i) q^{9} +O(q^{10})\) \(q+(2.04235 + 1.39245i) q^{2} +(2.02170 + 1.87586i) q^{3} +(1.50160 + 3.82602i) q^{4} +(-0.574996 + 0.177363i) q^{5} +(1.51697 + 6.64630i) q^{6} +(-0.954237 - 2.46768i) q^{7} +(-1.16067 + 5.08521i) q^{8} +(0.344217 + 4.59325i) q^{9} +(-1.42131 - 0.438418i) q^{10} +(0.197641 - 2.63733i) q^{11} +(-4.14130 + 10.5519i) q^{12} +(-0.900969 + 0.433884i) q^{13} +(1.48724 - 6.36860i) q^{14} +(-1.49518 - 0.720040i) q^{15} +(-3.42552 + 3.17841i) q^{16} +(5.54927 - 0.836418i) q^{17} +(-5.69288 + 9.86036i) q^{18} +(-4.14229 - 7.17466i) q^{19} +(-1.54201 - 1.93362i) q^{20} +(2.69984 - 6.77892i) q^{21} +(4.07601 - 5.11116i) q^{22} +(-5.04591 - 0.760549i) q^{23} +(-11.8857 + 8.10351i) q^{24} +(-3.83203 + 2.61263i) q^{25} +(-2.44426 - 0.368413i) q^{26} +(-2.76181 + 3.46320i) q^{27} +(8.00850 - 7.35640i) q^{28} +(6.29803 + 7.89749i) q^{29} +(-2.05106 - 3.55254i) q^{30} +(-0.894638 + 1.54956i) q^{31} +(-1.10646 + 0.166773i) q^{32} +(5.34684 - 4.96114i) q^{33} +(12.4982 + 6.01884i) q^{34} +(0.986357 + 1.24966i) q^{35} +(-17.0570 + 8.21422i) q^{36} +(-0.315601 + 0.804139i) q^{37} +(1.53035 - 20.4212i) q^{38} +(-2.63540 - 0.812912i) q^{39} +(-0.234548 - 3.12983i) q^{40} +(-1.08013 + 4.73236i) q^{41} +(14.9534 - 10.0856i) q^{42} +(-1.53964 - 6.74561i) q^{43} +(10.3872 - 3.20404i) q^{44} +(-1.01260 - 2.58005i) q^{45} +(-9.24651 - 8.57951i) q^{46} +(-1.50564 - 1.02653i) q^{47} -12.8876 q^{48} +(-5.17886 + 4.70950i) q^{49} -11.4643 q^{50} +(12.7880 + 8.71868i) q^{51} +(-3.01294 - 2.79560i) q^{52} +(3.78968 + 9.65595i) q^{53} +(-10.4629 + 3.22738i) q^{54} +(0.354122 + 1.55151i) q^{55} +(13.6562 - 1.98835i) q^{56} +(5.08421 - 22.2754i) q^{57} +(1.86594 + 24.8992i) q^{58} +(-12.1884 - 3.75963i) q^{59} +(0.509724 - 6.80179i) q^{60} +(2.98424 - 7.60371i) q^{61} +(-3.98486 + 1.91901i) q^{62} +(11.0062 - 5.23247i) q^{63} +(5.92836 + 2.85495i) q^{64} +(0.441099 - 0.409280i) q^{65} +(17.8283 - 2.68718i) q^{66} +(-0.749615 + 1.29837i) q^{67} +(11.5329 + 19.9756i) q^{68} +(-8.77464 - 11.0030i) q^{69} +(0.274398 + 3.92570i) q^{70} +(0.383545 - 0.480950i) q^{71} +(-23.7572 - 3.58082i) q^{72} +(-6.42692 + 4.38180i) q^{73} +(-1.76430 + 1.20288i) q^{74} +(-12.6482 - 1.90640i) q^{75} +(21.2303 - 26.6220i) q^{76} +(-6.69667 + 2.02893i) q^{77} +(-4.25047 - 5.32992i) q^{78} +(2.12422 + 3.67926i) q^{79} +(1.40593 - 2.43513i) q^{80} +(1.58404 - 0.238755i) q^{81} +(-8.79560 + 8.16112i) q^{82} +(-1.44659 - 0.696640i) q^{83} +(29.9904 + 0.150414i) q^{84} +(-3.04246 + 1.46517i) q^{85} +(6.24846 - 15.9208i) q^{86} +(-2.08187 + 27.7806i) q^{87} +(13.1820 + 4.06610i) q^{88} +(-0.724459 - 9.66724i) q^{89} +(1.52452 - 6.67937i) q^{90} +(1.93042 + 1.80927i) q^{91} +(-4.66708 - 20.4478i) q^{92} +(-4.71545 + 1.45452i) q^{93} +(-1.64566 - 4.19306i) q^{94} +(3.65432 + 3.39071i) q^{95} +(-2.54978 - 1.73841i) q^{96} +12.2406 q^{97} +(-17.1348 + 2.40714i) q^{98} +12.1820 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} + O(q^{10}) \) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} - 5q^{10} + 2q^{11} - 40q^{12} - 58q^{13} - 45q^{14} - 14q^{15} + 27q^{16} - 12q^{17} - 59q^{18} - 24q^{19} - 99q^{20} - 2q^{21} - 10q^{22} - 14q^{23} + 28q^{25} + 3q^{26} - 9q^{27} - 37q^{28} - 26q^{29} - 83q^{30} - 49q^{31} + 33q^{32} + 2q^{33} - 130q^{34} - 38q^{35} - 74q^{36} - 4q^{37} + 92q^{38} + 24q^{40} + 20q^{41} - 52q^{42} + 2q^{43} + 226q^{44} - 23q^{45} + 71q^{46} + 24q^{47} + 86q^{48} + 25q^{49} + 114q^{50} - 54q^{51} + 31q^{52} + 36q^{53} + 75q^{54} + 38q^{55} + 126q^{56} + 27q^{57} - 33q^{58} + q^{59} - 179q^{60} - 15q^{61} + 158q^{62} - 5q^{63} - 24q^{64} + q^{65} - 150q^{66} - 151q^{67} + 140q^{68} - 98q^{69} - 126q^{70} - 31q^{71} - 149q^{72} - 9q^{73} + 39q^{74} + 85q^{75} - 81q^{76} + 46q^{77} - 25q^{78} - 69q^{79} - 64q^{80} + 71q^{81} - 52q^{82} - q^{83} - 47q^{84} + 62q^{85} + 97q^{86} + 150q^{87} - 12q^{88} + 23q^{89} + 107q^{90} - q^{91} - 43q^{92} + 316q^{93} - 86q^{94} - 29q^{95} + 177q^{96} + 114q^{97} - 336q^{98} + 102q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.04235 + 1.39245i 1.44416 + 0.984613i 0.995876 + 0.0907233i \(0.0289179\pi\)
0.448286 + 0.893890i \(0.352035\pi\)
\(3\) 2.02170 + 1.87586i 1.16723 + 1.08303i 0.995192 + 0.0979397i \(0.0312252\pi\)
0.172037 + 0.985091i \(0.444965\pi\)
\(4\) 1.50160 + 3.82602i 0.750801 + 1.91301i
\(5\) −0.574996 + 0.177363i −0.257146 + 0.0793190i −0.420648 0.907224i \(-0.638197\pi\)
0.163502 + 0.986543i \(0.447721\pi\)
\(6\) 1.51697 + 6.64630i 0.619302 + 2.71334i
\(7\) −0.954237 2.46768i −0.360668 0.932694i
\(8\) −1.16067 + 5.08521i −0.410357 + 1.79789i
\(9\) 0.344217 + 4.59325i 0.114739 + 1.53108i
\(10\) −1.42131 0.438418i −0.449459 0.138640i
\(11\) 0.197641 2.63733i 0.0595909 0.795185i −0.884718 0.466126i \(-0.845649\pi\)
0.944309 0.329059i \(-0.106732\pi\)
\(12\) −4.14130 + 10.5519i −1.19549 + 3.04606i
\(13\) −0.900969 + 0.433884i −0.249884 + 0.120338i
\(14\) 1.48724 6.36860i 0.397480 1.70208i
\(15\) −1.49518 0.720040i −0.386053 0.185913i
\(16\) −3.42552 + 3.17841i −0.856379 + 0.794604i
\(17\) 5.54927 0.836418i 1.34590 0.202861i 0.563744 0.825950i \(-0.309360\pi\)
0.782151 + 0.623089i \(0.214122\pi\)
\(18\) −5.69288 + 9.86036i −1.34182 + 2.32411i
\(19\) −4.14229 7.17466i −0.950308 1.64598i −0.744758 0.667334i \(-0.767435\pi\)
−0.205549 0.978647i \(-0.565898\pi\)
\(20\) −1.54201 1.93362i −0.344803 0.432370i
\(21\) 2.69984 6.77892i 0.589154 1.47928i
\(22\) 4.07601 5.11116i 0.869008 1.08970i
\(23\) −5.04591 0.760549i −1.05215 0.158585i −0.399874 0.916570i \(-0.630946\pi\)
−0.652272 + 0.757985i \(0.726184\pi\)
\(24\) −11.8857 + 8.10351i −2.42615 + 1.65412i
\(25\) −3.83203 + 2.61263i −0.766406 + 0.522527i
\(26\) −2.44426 0.368413i −0.479359 0.0722517i
\(27\) −2.76181 + 3.46320i −0.531510 + 0.666492i
\(28\) 8.00850 7.35640i 1.51346 1.39023i
\(29\) 6.29803 + 7.89749i 1.16952 + 1.46653i 0.856025 + 0.516935i \(0.172927\pi\)
0.313491 + 0.949591i \(0.398501\pi\)
\(30\) −2.05106 3.55254i −0.374471 0.648602i
\(31\) −0.894638 + 1.54956i −0.160682 + 0.278309i −0.935113 0.354349i \(-0.884703\pi\)
0.774432 + 0.632658i \(0.218036\pi\)
\(32\) −1.10646 + 0.166773i −0.195597 + 0.0294815i
\(33\) 5.34684 4.96114i 0.930765 0.863624i
\(34\) 12.4982 + 6.01884i 2.14343 + 1.03222i
\(35\) 0.986357 + 1.24966i 0.166725 + 0.211231i
\(36\) −17.0570 + 8.21422i −2.84283 + 1.36904i
\(37\) −0.315601 + 0.804139i −0.0518845 + 0.132200i −0.954466 0.298319i \(-0.903574\pi\)
0.902582 + 0.430519i \(0.141669\pi\)
\(38\) 1.53035 20.4212i 0.248256 3.31275i
\(39\) −2.63540 0.812912i −0.422001 0.130170i
\(40\) −0.234548 3.12983i −0.0370854 0.494870i
\(41\) −1.08013 + 4.73236i −0.168688 + 0.739070i 0.817836 + 0.575452i \(0.195174\pi\)
−0.986524 + 0.163618i \(0.947683\pi\)
\(42\) 14.9534 10.0856i 2.30736 1.55623i
\(43\) −1.53964 6.74561i −0.234793 1.02870i −0.945606 0.325315i \(-0.894530\pi\)
0.710813 0.703381i \(-0.248327\pi\)
\(44\) 10.3872 3.20404i 1.56594 0.483028i
\(45\) −1.01260 2.58005i −0.150949 0.384611i
\(46\) −9.24651 8.57951i −1.36332 1.26498i
\(47\) −1.50564 1.02653i −0.219620 0.149734i 0.448513 0.893776i \(-0.351954\pi\)
−0.668133 + 0.744042i \(0.732906\pi\)
\(48\) −12.8876 −1.86017
\(49\) −5.17886 + 4.70950i −0.739838 + 0.672786i
\(50\) −11.4643 −1.62130
\(51\) 12.7880 + 8.71868i 1.79067 + 1.22086i
\(52\) −3.01294 2.79560i −0.417820 0.387680i
\(53\) 3.78968 + 9.65595i 0.520553 + 1.32635i 0.913520 + 0.406794i \(0.133353\pi\)
−0.392967 + 0.919553i \(0.628551\pi\)
\(54\) −10.4629 + 3.22738i −1.42382 + 0.439191i
\(55\) 0.354122 + 1.55151i 0.0477497 + 0.209205i
\(56\) 13.6562 1.98835i 1.82489 0.265704i
\(57\) 5.08421 22.2754i 0.673421 2.95045i
\(58\) 1.86594 + 24.8992i 0.245009 + 3.26942i
\(59\) −12.1884 3.75963i −1.58680 0.489462i −0.629120 0.777308i \(-0.716585\pi\)
−0.957677 + 0.287846i \(0.907061\pi\)
\(60\) 0.509724 6.80179i 0.0658050 0.878107i
\(61\) 2.98424 7.60371i 0.382092 0.973555i −0.602411 0.798186i \(-0.705793\pi\)
0.984503 0.175369i \(-0.0561117\pi\)
\(62\) −3.98486 + 1.91901i −0.506077 + 0.243714i
\(63\) 11.0062 5.23247i 1.38665 0.659229i
\(64\) 5.92836 + 2.85495i 0.741044 + 0.356868i
\(65\) 0.441099 0.409280i 0.0547115 0.0507649i
\(66\) 17.8283 2.68718i 2.19451 0.330769i
\(67\) −0.749615 + 1.29837i −0.0915800 + 0.158621i −0.908176 0.418588i \(-0.862525\pi\)
0.816596 + 0.577209i \(0.195858\pi\)
\(68\) 11.5329 + 19.9756i 1.39857 + 2.42240i
\(69\) −8.77464 11.0030i −1.05634 1.32461i
\(70\) 0.274398 + 3.92570i 0.0327969 + 0.469211i
\(71\) 0.383545 0.480950i 0.0455184 0.0570783i −0.758551 0.651613i \(-0.774092\pi\)
0.804070 + 0.594535i \(0.202664\pi\)
\(72\) −23.7572 3.58082i −2.79981 0.422003i
\(73\) −6.42692 + 4.38180i −0.752214 + 0.512850i −0.877680 0.479247i \(-0.840910\pi\)
0.125466 + 0.992098i \(0.459957\pi\)
\(74\) −1.76430 + 1.20288i −0.205095 + 0.139832i
\(75\) −12.6482 1.90640i −1.46048 0.220133i
\(76\) 21.2303 26.6220i 2.43529 3.05375i
\(77\) −6.69667 + 2.02893i −0.763157 + 0.231217i
\(78\) −4.25047 5.32992i −0.481271 0.603495i
\(79\) 2.12422 + 3.67926i 0.238993 + 0.413949i 0.960426 0.278536i \(-0.0898492\pi\)
−0.721432 + 0.692485i \(0.756516\pi\)
\(80\) 1.40593 2.43513i 0.157187 0.272256i
\(81\) 1.58404 0.238755i 0.176004 0.0265284i
\(82\) −8.79560 + 8.16112i −0.971311 + 0.901245i
\(83\) −1.44659 0.696640i −0.158784 0.0764661i 0.352804 0.935697i \(-0.385228\pi\)
−0.511588 + 0.859231i \(0.670942\pi\)
\(84\) 29.9904 + 0.150414i 3.27222 + 0.0164115i
\(85\) −3.04246 + 1.46517i −0.330001 + 0.158920i
\(86\) 6.24846 15.9208i 0.673788 1.71678i
\(87\) −2.08187 + 27.7806i −0.223200 + 2.97839i
\(88\) 13.1820 + 4.06610i 1.40520 + 0.433448i
\(89\) −0.724459 9.66724i −0.0767925 1.02473i −0.893908 0.448251i \(-0.852047\pi\)
0.817115 0.576474i \(-0.195572\pi\)
\(90\) 1.52452 6.67937i 0.160699 0.704068i
\(91\) 1.93042 + 1.80927i 0.202363 + 0.189663i
\(92\) −4.66708 20.4478i −0.486576 2.13183i
\(93\) −4.71545 + 1.45452i −0.488969 + 0.150827i
\(94\) −1.64566 4.19306i −0.169736 0.432481i
\(95\) 3.65432 + 3.39071i 0.374925 + 0.347880i
\(96\) −2.54978 1.73841i −0.260236 0.177426i
\(97\) 12.2406 1.24285 0.621423 0.783475i \(-0.286555\pi\)
0.621423 + 0.783475i \(0.286555\pi\)
\(98\) −17.1348 + 2.40714i −1.73088 + 0.243158i
\(99\) 12.1820 1.22433
\(100\) −15.7502 10.7383i −1.57502 1.07383i
\(101\) −0.743015 0.689417i −0.0739327 0.0685995i 0.642341 0.766419i \(-0.277963\pi\)
−0.716274 + 0.697819i \(0.754154\pi\)
\(102\) 13.9772 + 35.6133i 1.38395 + 3.52624i
\(103\) 1.10692 0.341440i 0.109068 0.0336431i −0.239741 0.970837i \(-0.577062\pi\)
0.348809 + 0.937194i \(0.386586\pi\)
\(104\) −1.16067 5.08521i −0.113813 0.498646i
\(105\) −0.350071 + 4.37670i −0.0341634 + 0.427123i
\(106\) −5.70559 + 24.9978i −0.554176 + 2.42800i
\(107\) 0.430429 + 5.74368i 0.0416112 + 0.555262i 0.978582 + 0.205856i \(0.0659977\pi\)
−0.936971 + 0.349407i \(0.886383\pi\)
\(108\) −17.3974 5.36638i −1.67406 0.516380i
\(109\) −1.16252 + 15.5128i −0.111349 + 1.48585i 0.609514 + 0.792775i \(0.291365\pi\)
−0.720863 + 0.693077i \(0.756254\pi\)
\(110\) −1.43716 + 3.66183i −0.137028 + 0.349141i
\(111\) −2.14651 + 1.03370i −0.203737 + 0.0981148i
\(112\) 11.1121 + 5.42011i 1.04999 + 0.512152i
\(113\) −15.0465 7.24601i −1.41545 0.681647i −0.439223 0.898378i \(-0.644746\pi\)
−0.976231 + 0.216731i \(0.930461\pi\)
\(114\) 41.4012 38.4147i 3.87758 3.59787i
\(115\) 3.03627 0.457644i 0.283134 0.0426756i
\(116\) −20.7588 + 35.9553i −1.92741 + 3.33836i
\(117\) −2.30307 3.98903i −0.212919 0.368786i
\(118\) −19.6580 24.6503i −1.80966 2.26924i
\(119\) −7.35933 12.8957i −0.674628 1.18214i
\(120\) 5.39695 6.76756i 0.492672 0.617791i
\(121\) 3.96069 + 0.596978i 0.360063 + 0.0542708i
\(122\) 16.6827 11.3741i 1.51038 1.02976i
\(123\) −11.0610 + 7.54123i −0.997333 + 0.679970i
\(124\) −7.27203 1.09608i −0.653048 0.0984311i
\(125\) 3.61588 4.53417i 0.323414 0.405548i
\(126\) 29.7645 + 4.63907i 2.65164 + 0.413281i
\(127\) 3.45296 + 4.32987i 0.306400 + 0.384214i 0.911063 0.412268i \(-0.135263\pi\)
−0.604662 + 0.796482i \(0.706692\pi\)
\(128\) 9.25138 + 16.0239i 0.817715 + 1.41632i
\(129\) 9.54115 16.5258i 0.840051 1.45501i
\(130\) 1.47078 0.221685i 0.128996 0.0194430i
\(131\) 1.54326 1.43194i 0.134835 0.125109i −0.609872 0.792500i \(-0.708779\pi\)
0.744708 + 0.667391i \(0.232589\pi\)
\(132\) 27.0102 + 13.0074i 2.35094 + 1.13215i
\(133\) −13.7520 + 17.0682i −1.19245 + 1.48000i
\(134\) −3.33890 + 1.60793i −0.288437 + 0.138904i
\(135\) 0.973785 2.48116i 0.0838101 0.213545i
\(136\) −2.18749 + 29.1900i −0.187575 + 2.50302i
\(137\) 7.98078 + 2.46174i 0.681844 + 0.210321i 0.616280 0.787527i \(-0.288639\pi\)
0.0655643 + 0.997848i \(0.479115\pi\)
\(138\) −2.59969 34.6904i −0.221300 2.95304i
\(139\) 1.81222 7.93984i 0.153710 0.673448i −0.838077 0.545551i \(-0.816320\pi\)
0.991787 0.127897i \(-0.0408226\pi\)
\(140\) −3.30010 + 5.65031i −0.278909 + 0.477538i
\(141\) −1.11832 4.89970i −0.0941799 0.412629i
\(142\) 1.45303 0.448202i 0.121936 0.0376123i
\(143\) 0.966226 + 2.46190i 0.0807999 + 0.205875i
\(144\) −15.7784 14.6402i −1.31487 1.22002i
\(145\) −5.02206 3.42399i −0.417060 0.284347i
\(146\) −19.2275 −1.59128
\(147\) −19.3045 0.193644i −1.59221 0.0159715i
\(148\) −3.55056 −0.291854
\(149\) −15.2778 10.4162i −1.25161 0.853332i −0.257993 0.966147i \(-0.583061\pi\)
−0.993616 + 0.112814i \(0.964013\pi\)
\(150\) −23.1774 21.5055i −1.89243 1.75592i
\(151\) 3.20978 + 8.17839i 0.261208 + 0.665548i 0.999965 0.00842483i \(-0.00268174\pi\)
−0.738756 + 0.673973i \(0.764587\pi\)
\(152\) 41.2925 12.7370i 3.34926 1.03311i
\(153\) 5.75203 + 25.2013i 0.465024 + 2.03740i
\(154\) −16.5022 5.18102i −1.32978 0.417499i
\(155\) 0.239579 1.04967i 0.0192435 0.0843111i
\(156\) −0.847098 11.3037i −0.0678221 0.905024i
\(157\) −8.98951 2.77290i −0.717441 0.221301i −0.0855228 0.996336i \(-0.527256\pi\)
−0.631918 + 0.775035i \(0.717732\pi\)
\(158\) −0.784785 + 10.4722i −0.0624341 + 0.833125i
\(159\) −10.4516 + 26.6304i −0.828870 + 2.11193i
\(160\) 0.606633 0.292139i 0.0479585 0.0230956i
\(161\) 2.93821 + 13.1774i 0.231563 + 1.03853i
\(162\) 3.56762 + 1.71808i 0.280299 + 0.134985i
\(163\) 4.38364 4.06743i 0.343353 0.318585i −0.489580 0.871958i \(-0.662850\pi\)
0.832934 + 0.553373i \(0.186660\pi\)
\(164\) −19.7280 + 2.97352i −1.54050 + 0.232193i
\(165\) −2.19449 + 3.80097i −0.170841 + 0.295905i
\(166\) −1.98441 3.43709i −0.154020 0.266770i
\(167\) 2.93883 + 3.68518i 0.227413 + 0.285167i 0.882427 0.470450i \(-0.155908\pi\)
−0.655013 + 0.755617i \(0.727337\pi\)
\(168\) 31.3386 + 21.5973i 2.41783 + 1.66627i
\(169\) 0.623490 0.781831i 0.0479608 0.0601409i
\(170\) −8.25396 1.24408i −0.633050 0.0954169i
\(171\) 31.5292 21.4963i 2.41110 1.64386i
\(172\) 23.4969 16.0199i 1.79162 1.22151i
\(173\) 8.50847 + 1.28245i 0.646887 + 0.0975026i 0.464287 0.885685i \(-0.346311\pi\)
0.182600 + 0.983187i \(0.441549\pi\)
\(174\) −42.9351 + 53.8389i −3.25490 + 4.08152i
\(175\) 10.1038 + 6.96314i 0.763776 + 0.526364i
\(176\) 7.70551 + 9.66240i 0.580824 + 0.728331i
\(177\) −17.5888 30.4646i −1.32205 2.28986i
\(178\) 11.9816 20.7527i 0.898057 1.55548i
\(179\) 19.5112 2.94083i 1.45833 0.219808i 0.628495 0.777814i \(-0.283671\pi\)
0.829837 + 0.558005i \(0.188433\pi\)
\(180\) 8.35081 7.74842i 0.622433 0.577533i
\(181\) −10.8220 5.21161i −0.804395 0.387376i −0.0139448 0.999903i \(-0.504439\pi\)
−0.790450 + 0.612527i \(0.790153\pi\)
\(182\) 1.42328 + 6.38320i 0.105501 + 0.473154i
\(183\) 20.2967 9.77440i 1.50038 0.722544i
\(184\) 9.72417 24.7768i 0.716875 1.82657i
\(185\) 0.0388452 0.518353i 0.00285595 0.0381100i
\(186\) −11.6560 3.59539i −0.854658 0.263627i
\(187\) −1.10915 14.8006i −0.0811090 1.08232i
\(188\) 1.66664 7.30203i 0.121552 0.532555i
\(189\) 11.1815 + 3.51054i 0.813332 + 0.255354i
\(190\) 2.74201 + 12.0135i 0.198926 + 0.871552i
\(191\) −10.5628 + 3.25818i −0.764295 + 0.235754i −0.652306 0.757956i \(-0.726198\pi\)
−0.111989 + 0.993709i \(0.535722\pi\)
\(192\) 6.62987 + 16.8926i 0.478470 + 1.21912i
\(193\) −8.01646 7.43819i −0.577037 0.535412i 0.336756 0.941592i \(-0.390670\pi\)
−0.913793 + 0.406180i \(0.866861\pi\)
\(194\) 24.9997 + 17.0445i 1.79487 + 1.22372i
\(195\) 1.65952 0.118841
\(196\) −25.7952 12.7426i −1.84252 0.910188i
\(197\) 16.4996 1.17555 0.587773 0.809026i \(-0.300005\pi\)
0.587773 + 0.809026i \(0.300005\pi\)
\(198\) 24.8799 + 16.9628i 1.76814 + 1.20549i
\(199\) −8.93883 8.29402i −0.633657 0.587947i 0.296535 0.955022i \(-0.404169\pi\)
−0.930191 + 0.367075i \(0.880359\pi\)
\(200\) −8.83808 22.5191i −0.624947 1.59234i
\(201\) −3.95106 + 1.21874i −0.278686 + 0.0859634i
\(202\) −0.557518 2.44265i −0.0392268 0.171864i
\(203\) 13.4786 23.0776i 0.946014 1.61973i
\(204\) −14.1554 + 62.0190i −0.991078 + 4.34220i
\(205\) −0.218274 2.91266i −0.0152449 0.203429i
\(206\) 2.73617 + 0.843996i 0.190638 + 0.0588040i
\(207\) 1.75651 23.4390i 0.122086 1.62912i
\(208\) 1.70722 4.34993i 0.118374 0.301613i
\(209\) −19.7406 + 9.50659i −1.36549 + 0.657585i
\(210\) −6.80933 + 8.45132i −0.469888 + 0.583197i
\(211\) 5.11764 + 2.46453i 0.352313 + 0.169665i 0.601666 0.798748i \(-0.294504\pi\)
−0.249353 + 0.968413i \(0.580218\pi\)
\(212\) −31.2533 + 28.9988i −2.14648 + 1.99165i
\(213\) 1.67761 0.252859i 0.114948 0.0173256i
\(214\) −7.11871 + 12.3300i −0.486625 + 0.842860i
\(215\) 2.08171 + 3.60562i 0.141971 + 0.245901i
\(216\) −14.4055 18.0640i −0.980172 1.22910i
\(217\) 4.67751 + 0.729031i 0.317530 + 0.0494899i
\(218\) −23.9751 + 30.0638i −1.62380 + 2.03618i
\(219\) −21.2129 3.19734i −1.43344 0.216056i
\(220\) −5.40435 + 3.68462i −0.364361 + 0.248417i
\(221\) −4.63681 + 3.16132i −0.311906 + 0.212654i
\(222\) −5.82331 0.877723i −0.390835 0.0589089i
\(223\) 2.39147 2.99881i 0.160145 0.200815i −0.695285 0.718734i \(-0.744722\pi\)
0.855430 + 0.517919i \(0.173293\pi\)
\(224\) 1.46737 + 2.57125i 0.0980428 + 0.171799i
\(225\) −13.3195 16.7022i −0.887970 1.11348i
\(226\) −20.6405 35.7504i −1.37299 2.37808i
\(227\) 10.8757 18.8373i 0.721846 1.25027i −0.238414 0.971164i \(-0.576627\pi\)
0.960259 0.279109i \(-0.0900392\pi\)
\(228\) 92.8606 13.9965i 6.14984 0.926939i
\(229\) −11.7583 + 10.9101i −0.777008 + 0.720958i −0.965297 0.261155i \(-0.915897\pi\)
0.188288 + 0.982114i \(0.439706\pi\)
\(230\) 6.83839 + 3.29320i 0.450910 + 0.217147i
\(231\) −17.3447 8.46017i −1.14119 0.556638i
\(232\) −47.4703 + 22.8605i −3.11658 + 1.50086i
\(233\) −1.70513 + 4.34460i −0.111707 + 0.284624i −0.975784 0.218734i \(-0.929807\pi\)
0.864078 + 0.503358i \(0.167902\pi\)
\(234\) 0.850859 11.3539i 0.0556224 0.742229i
\(235\) 1.04780 + 0.323204i 0.0683511 + 0.0210835i
\(236\) −3.91774 52.2786i −0.255023 3.40305i
\(237\) −2.60725 + 11.4231i −0.169359 + 0.742010i
\(238\) 2.92626 36.5850i 0.189681 2.37146i
\(239\) −0.216133 0.946942i −0.0139805 0.0612526i 0.967456 0.253037i \(-0.0814296\pi\)
−0.981437 + 0.191785i \(0.938572\pi\)
\(240\) 7.41034 2.28579i 0.478335 0.147547i
\(241\) 7.21939 + 18.3947i 0.465042 + 1.18491i 0.950521 + 0.310659i \(0.100550\pi\)
−0.485479 + 0.874248i \(0.661355\pi\)
\(242\) 7.25787 + 6.73432i 0.466554 + 0.432899i
\(243\) 14.6300 + 9.97458i 0.938517 + 0.639870i
\(244\) 33.5731 2.14929
\(245\) 2.14254 3.62648i 0.136882 0.231687i
\(246\) −33.0912 −2.10982
\(247\) 6.84505 + 4.66688i 0.435540 + 0.296946i
\(248\) −6.84145 6.34794i −0.434433 0.403094i
\(249\) −1.61776 4.12200i −0.102522 0.261221i
\(250\) 13.6985 4.22543i 0.866370 0.267240i
\(251\) −3.65061 15.9944i −0.230424 1.00956i −0.949289 0.314405i \(-0.898195\pi\)
0.718865 0.695150i \(-0.244662\pi\)
\(252\) 36.5465 + 34.2529i 2.30221 + 2.15773i
\(253\) −3.00310 + 13.1574i −0.188803 + 0.827200i
\(254\) 1.02302 + 13.6512i 0.0641898 + 0.856553i
\(255\) −8.89939 2.74510i −0.557302 0.171905i
\(256\) −2.43444 + 32.4854i −0.152153 + 2.03034i
\(257\) 9.21184 23.4714i 0.574619 1.46411i −0.287690 0.957724i \(-0.592887\pi\)
0.862309 0.506382i \(-0.169017\pi\)
\(258\) 42.4978 20.4658i 2.64579 1.27415i
\(259\) 2.28551 + 0.0114628i 0.142015 + 0.000712262i
\(260\) 2.22827 + 1.07308i 0.138191 + 0.0665494i
\(261\) −34.1073 + 31.6469i −2.11119 + 1.95890i
\(262\) 5.14579 0.775603i 0.317908 0.0479169i
\(263\) −7.03361 + 12.1826i −0.433711 + 0.751210i −0.997189 0.0749212i \(-0.976129\pi\)
0.563478 + 0.826131i \(0.309463\pi\)
\(264\) 19.0225 + 32.9480i 1.17076 + 2.02781i
\(265\) −3.89166 4.87998i −0.239063 0.299775i
\(266\) −51.8532 + 15.7102i −3.17932 + 0.963255i
\(267\) 16.6698 20.9032i 1.02017 1.27926i
\(268\) −6.09321 0.918404i −0.372202 0.0561005i
\(269\) 22.7459 15.5079i 1.38684 0.945533i 0.387118 0.922030i \(-0.373471\pi\)
0.999724 0.0235025i \(-0.00748176\pi\)
\(270\) 5.44372 3.71147i 0.331294 0.225873i
\(271\) 6.33830 + 0.955346i 0.385025 + 0.0580331i 0.338703 0.940893i \(-0.390012\pi\)
0.0463219 + 0.998927i \(0.485250\pi\)
\(272\) −16.3506 + 20.5030i −0.991402 + 1.24318i
\(273\) 0.508788 + 7.27902i 0.0307933 + 0.440546i
\(274\) 12.8717 + 16.1406i 0.777609 + 0.975090i
\(275\) 6.13301 + 10.6227i 0.369835 + 0.640572i
\(276\) 28.9218 50.0941i 1.74089 3.01531i
\(277\) 6.94518 1.04682i 0.417295 0.0628972i 0.0629611 0.998016i \(-0.479946\pi\)
0.354334 + 0.935119i \(0.384707\pi\)
\(278\) 14.7570 13.6925i 0.885068 0.821223i
\(279\) −7.42547 3.57592i −0.444551 0.214084i
\(280\) −7.49960 + 3.56539i −0.448187 + 0.213073i
\(281\) −13.5183 + 6.51007i −0.806434 + 0.388358i −0.791224 0.611526i \(-0.790556\pi\)
−0.0152100 + 0.999884i \(0.504842\pi\)
\(282\) 4.53859 11.5641i 0.270269 0.688634i
\(283\) −2.19786 + 29.3284i −0.130649 + 1.74339i 0.418988 + 0.907992i \(0.362385\pi\)
−0.549638 + 0.835403i \(0.685234\pi\)
\(284\) 2.41605 + 0.745254i 0.143366 + 0.0442227i
\(285\) 1.02742 + 13.7100i 0.0608593 + 0.812111i
\(286\) −1.45471 + 6.37351i −0.0860189 + 0.376873i
\(287\) 12.7086 1.85038i 0.750167 0.109225i
\(288\) −1.14689 5.02486i −0.0675813 0.296093i
\(289\) 13.8500 4.27217i 0.814708 0.251304i
\(290\) −5.48909 13.9860i −0.322331 0.821285i
\(291\) 24.7469 + 22.9617i 1.45069 + 1.34604i
\(292\) −26.4155 18.0098i −1.54585 1.05394i
\(293\) −16.1346 −0.942593 −0.471296 0.881975i \(-0.656214\pi\)
−0.471296 + 0.881975i \(0.656214\pi\)
\(294\) −39.1570 27.2761i −2.28368 1.59077i
\(295\) 7.67511 0.446862
\(296\) −3.72291 2.53823i −0.216390 0.147532i
\(297\) 8.58774 + 7.96826i 0.498311 + 0.462365i
\(298\) −16.6986 42.5473i −0.967324 2.46470i
\(299\) 4.87620 1.50411i 0.281998 0.0869848i
\(300\) −11.6986 51.2548i −0.675417 2.95920i
\(301\) −15.1768 + 10.2363i −0.874777 + 0.590008i
\(302\) −4.83252 + 21.1726i −0.278080 + 1.21835i
\(303\) −0.208901 2.78759i −0.0120010 0.160143i
\(304\) 36.9936 + 11.4110i 2.12173 + 0.654466i
\(305\) −0.367309 + 4.90139i −0.0210320 + 0.280653i
\(306\) −23.3439 + 59.4794i −1.33448 + 3.40021i
\(307\) −23.9773 + 11.5468i −1.36846 + 0.659013i −0.966505 0.256648i \(-0.917382\pi\)
−0.401951 + 0.915661i \(0.631668\pi\)
\(308\) −17.8184 22.5750i −1.01530 1.28633i
\(309\) 2.87836 + 1.38615i 0.163744 + 0.0788551i
\(310\) 1.95092 1.81019i 0.110805 0.102812i
\(311\) 5.88025 0.886305i 0.333438 0.0502577i 0.0198105 0.999804i \(-0.493694\pi\)
0.313628 + 0.949546i \(0.398456\pi\)
\(312\) 7.19264 12.4580i 0.407203 0.705296i
\(313\) −4.56714 7.91052i −0.258150 0.447129i 0.707596 0.706617i \(-0.249780\pi\)
−0.965746 + 0.259488i \(0.916446\pi\)
\(314\) −14.4986 18.1807i −0.818205 1.02600i
\(315\) −5.40048 + 4.96074i −0.304282 + 0.279506i
\(316\) −10.8872 + 13.6521i −0.612451 + 0.767990i
\(317\) −7.42655 1.11937i −0.417117 0.0628702i −0.0628688 0.998022i \(-0.520025\pi\)
−0.354248 + 0.935152i \(0.615263\pi\)
\(318\) −58.4275 + 39.8352i −3.27645 + 2.23385i
\(319\) 22.0730 15.0491i 1.23585 0.842590i
\(320\) −3.91514 0.590113i −0.218863 0.0329883i
\(321\) −9.90416 + 12.4194i −0.552796 + 0.693184i
\(322\) −12.3481 + 31.0043i −0.688132 + 1.72780i
\(323\) −28.9877 36.3495i −1.61292 2.02254i
\(324\) 3.29208 + 5.70204i 0.182893 + 0.316780i
\(325\) 2.31896 4.01656i 0.128633 0.222799i
\(326\) 14.6167 2.20311i 0.809542 0.122019i
\(327\) −31.4501 + 29.1814i −1.73919 + 1.61374i
\(328\) −22.8114 10.9854i −1.25955 0.606565i
\(329\) −1.09640 + 4.69498i −0.0604465 + 0.258843i
\(330\) −9.77459 + 4.70720i −0.538074 + 0.259123i
\(331\) −10.7161 + 27.3042i −0.589010 + 1.50077i 0.256355 + 0.966583i \(0.417478\pi\)
−0.845365 + 0.534190i \(0.820617\pi\)
\(332\) 0.493159 6.58075i 0.0270656 0.361165i
\(333\) −3.80225 1.17284i −0.208362 0.0642712i
\(334\) 0.870695 + 11.6186i 0.0476423 + 0.635742i
\(335\) 0.200743 0.879512i 0.0109678 0.0480529i
\(336\) 12.2979 + 31.8025i 0.670904 + 1.73497i
\(337\) −4.80563 21.0548i −0.261779 1.14693i −0.919320 0.393511i \(-0.871260\pi\)
0.657540 0.753419i \(-0.271597\pi\)
\(338\) 2.36205 0.728596i 0.128479 0.0396304i
\(339\) −16.8270 42.8744i −0.913915 2.32862i
\(340\) −10.1743 9.44040i −0.551780 0.511977i
\(341\) 3.90988 + 2.66571i 0.211732 + 0.144356i
\(342\) 94.3264 5.10059
\(343\) 16.5634 + 8.28578i 0.894339 + 0.447390i
\(344\) 36.0898 1.94583
\(345\) 6.99691 + 4.77041i 0.376701 + 0.256830i
\(346\) 15.5916 + 14.4669i 0.838208 + 0.777743i
\(347\) −12.0122 30.6066i −0.644849 1.64305i −0.760174 0.649720i \(-0.774886\pi\)
0.115325 0.993328i \(-0.463209\pi\)
\(348\) −109.415 + 33.7501i −5.86527 + 1.80920i
\(349\) 5.66273 + 24.8100i 0.303119 + 1.32805i 0.865391 + 0.501098i \(0.167070\pi\)
−0.562272 + 0.826953i \(0.690072\pi\)
\(350\) 10.9397 + 28.2903i 0.584751 + 1.51218i
\(351\) 0.985677 4.31853i 0.0526116 0.230506i
\(352\) 0.221152 + 2.95107i 0.0117874 + 0.157293i
\(353\) 18.1121 + 5.58686i 0.964012 + 0.297358i 0.736516 0.676421i \(-0.236470\pi\)
0.227496 + 0.973779i \(0.426946\pi\)
\(354\) 6.49810 86.7111i 0.345370 4.60865i
\(355\) −0.135234 + 0.344571i −0.00717748 + 0.0182879i
\(356\) 35.8992 17.2881i 1.90265 0.916270i
\(357\) 9.31215 39.8763i 0.492851 2.11048i
\(358\) 43.9437 + 21.1622i 2.32250 + 1.11845i
\(359\) 12.4642 11.5651i 0.657835 0.610382i −0.278942 0.960308i \(-0.589984\pi\)
0.936777 + 0.349926i \(0.113793\pi\)
\(360\) 14.2954 2.15468i 0.753433 0.113562i
\(361\) −24.8172 + 42.9847i −1.30617 + 2.26235i
\(362\) −14.8455 25.7131i −0.780261 1.35145i
\(363\) 6.88748 + 8.63663i 0.361499 + 0.453306i
\(364\) −4.02358 + 10.1026i −0.210893 + 0.529522i
\(365\) 2.91828 3.65941i 0.152750 0.191542i
\(366\) 55.0635 + 8.29949i 2.87822 + 0.433821i
\(367\) −19.8666 + 13.5448i −1.03703 + 0.707033i −0.957097 0.289768i \(-0.906422\pi\)
−0.0799297 + 0.996801i \(0.525470\pi\)
\(368\) 19.7022 13.4327i 1.02705 0.700230i
\(369\) −22.1087 3.33235i −1.15093 0.173475i
\(370\) 0.801118 1.00457i 0.0416481 0.0522251i
\(371\) 20.2115 18.5658i 1.04933 0.963887i
\(372\) −12.6458 15.8573i −0.655652 0.822162i
\(373\) 0.468914 + 0.812183i 0.0242794 + 0.0420532i 0.877910 0.478826i \(-0.158938\pi\)
−0.853630 + 0.520879i \(0.825604\pi\)
\(374\) 18.3438 31.7724i 0.948536 1.64291i
\(375\) 15.8157 2.38383i 0.816719 0.123101i
\(376\) 6.96764 6.46503i 0.359329 0.333408i
\(377\) −9.10092 4.38277i −0.468721 0.225724i
\(378\) 17.9483 + 22.7394i 0.923159 + 1.16959i
\(379\) −16.5967 + 7.99256i −0.852517 + 0.410550i −0.808511 0.588481i \(-0.799726\pi\)
−0.0440056 + 0.999031i \(0.514012\pi\)
\(380\) −7.48560 + 19.0730i −0.384003 + 0.978424i
\(381\) −1.14140 + 15.2310i −0.0584759 + 0.780307i
\(382\) −26.1098 8.05380i −1.33589 0.412068i
\(383\) 2.43436 + 32.4843i 0.124390 + 1.65987i 0.615027 + 0.788506i \(0.289145\pi\)
−0.490637 + 0.871364i \(0.663236\pi\)
\(384\) −11.3551 + 49.7498i −0.579461 + 2.53878i
\(385\) 3.49070 2.35436i 0.177903 0.119990i
\(386\) −6.01512 26.3540i −0.306161 1.34138i
\(387\) 30.4543 9.39392i 1.54808 0.477520i
\(388\) 18.3805 + 46.8328i 0.933130 + 2.37758i
\(389\) 1.55856 + 1.44613i 0.0790219 + 0.0733217i 0.718695 0.695325i \(-0.244740\pi\)
−0.639673 + 0.768647i \(0.720930\pi\)
\(390\) 3.38933 + 2.31081i 0.171625 + 0.117012i
\(391\) −28.6373 −1.44825
\(392\) −17.9379 31.8017i −0.905998 1.60623i
\(393\) 5.80613 0.292881
\(394\) 33.6980 + 22.9749i 1.69768 + 1.15746i
\(395\) −1.87398 1.73880i −0.0942902 0.0874885i
\(396\) 18.2924 + 46.6084i 0.919230 + 2.34216i
\(397\) 4.55851 1.40611i 0.228785 0.0705709i −0.178243 0.983987i \(-0.557041\pi\)
0.407028 + 0.913416i \(0.366565\pi\)
\(398\) −6.70721 29.3862i −0.336202 1.47300i
\(399\) −59.8200 + 8.70981i −2.99475 + 0.436036i
\(400\) 4.82265 21.1294i 0.241132 1.05647i
\(401\) −1.36624 18.2312i −0.0682268 0.910424i −0.921355 0.388722i \(-0.872917\pi\)
0.853128 0.521702i \(-0.174703\pi\)
\(402\) −9.76651 3.01257i −0.487109 0.150253i
\(403\) 0.133713 1.78427i 0.00666071 0.0888810i
\(404\) 1.52201 3.87802i 0.0757228 0.192939i
\(405\) −0.868469 + 0.418233i −0.0431546 + 0.0207821i
\(406\) 59.6626 28.3643i 2.96101 1.40769i
\(407\) 2.05840 + 0.991275i 0.102031 + 0.0491357i
\(408\) −59.1789 + 54.9100i −2.92979 + 2.71845i
\(409\) 10.7503 1.62034i 0.531567 0.0801208i 0.122226 0.992502i \(-0.460997\pi\)
0.409341 + 0.912381i \(0.365759\pi\)
\(410\) 3.60995 6.25262i 0.178283 0.308795i
\(411\) 11.5168 + 19.9478i 0.568084 + 0.983950i
\(412\) 2.96851 + 3.72240i 0.146248 + 0.183389i
\(413\) 2.35309 + 33.6647i 0.115788 + 1.65653i
\(414\) 36.2251 45.4248i 1.78036 2.23251i
\(415\) 0.955340 + 0.143994i 0.0468958 + 0.00706840i
\(416\) 0.924529 0.630333i 0.0453288 0.0309046i
\(417\) 18.5578 12.6525i 0.908780 0.619595i
\(418\) −53.5549 8.07210i −2.61945 0.394819i
\(419\) −5.98691 + 7.50735i −0.292480 + 0.366758i −0.906261 0.422718i \(-0.861076\pi\)
0.613782 + 0.789476i \(0.289648\pi\)
\(420\) −17.2710 + 5.23269i −0.842739 + 0.255329i
\(421\) 11.6877 + 14.6559i 0.569622 + 0.714283i 0.980304 0.197496i \(-0.0632808\pi\)
−0.410682 + 0.911779i \(0.634709\pi\)
\(422\) 7.02030 + 12.1595i 0.341743 + 0.591916i
\(423\) 4.19683 7.26913i 0.204057 0.353437i
\(424\) −53.5011 + 8.06399i −2.59824 + 0.391622i
\(425\) −19.0797 + 17.7034i −0.925502 + 0.858740i
\(426\) 3.77837 + 1.81956i 0.183062 + 0.0881582i
\(427\) −21.6112 0.108389i −1.04584 0.00524529i
\(428\) −21.3291 + 10.2715i −1.03098 + 0.496494i
\(429\) −2.66478 + 6.78974i −0.128657 + 0.327812i
\(430\) −0.769079 + 10.2626i −0.0370883 + 0.494908i
\(431\) −24.1059 7.43568i −1.16114 0.358164i −0.346454 0.938067i \(-0.612614\pi\)
−0.814686 + 0.579903i \(0.803091\pi\)
\(432\) −1.54686 20.6414i −0.0744233 0.993110i
\(433\) 4.69094 20.5523i 0.225432 0.987682i −0.727882 0.685702i \(-0.759495\pi\)
0.953314 0.301980i \(-0.0976476\pi\)
\(434\) 8.53798 + 8.00215i 0.409836 + 0.384116i
\(435\) −3.73018 16.3430i −0.178848 0.783586i
\(436\) −61.0977 + 18.8462i −2.92605 + 0.902567i
\(437\) 15.4450 + 39.3532i 0.738833 + 1.88252i
\(438\) −38.8722 36.0681i −1.85739 1.72340i
\(439\) 2.59089 + 1.76644i 0.123657 + 0.0843076i 0.623569 0.781768i \(-0.285682\pi\)
−0.499912 + 0.866076i \(0.666634\pi\)
\(440\) −8.30076 −0.395723
\(441\) −23.4146 22.1667i −1.11498 1.05556i
\(442\) −13.8720 −0.659824
\(443\) 7.42626 + 5.06314i 0.352832 + 0.240557i 0.726746 0.686907i \(-0.241032\pi\)
−0.373913 + 0.927464i \(0.621984\pi\)
\(444\) −7.17816 6.66036i −0.340661 0.316087i
\(445\) 2.13117 + 5.43013i 0.101027 + 0.257413i
\(446\) 9.05994 2.79462i 0.429001 0.132329i
\(447\) −11.3477 49.7177i −0.536729 2.35156i
\(448\) 1.38803 17.3536i 0.0655781 0.819879i
\(449\) 3.72297 16.3114i 0.175698 0.769782i −0.807887 0.589337i \(-0.799389\pi\)
0.983585 0.180445i \(-0.0577539\pi\)
\(450\) −3.94622 52.6586i −0.186026 2.48235i
\(451\) 12.2673 + 3.78396i 0.577645 + 0.178180i
\(452\) 5.12953 68.4488i 0.241273 3.21956i
\(453\) −8.85233 + 22.5554i −0.415919 + 1.05974i
\(454\) 48.4420 23.3285i 2.27350 1.09486i
\(455\) −1.43088 0.697939i −0.0670808 0.0327199i
\(456\) 107.374 + 51.7086i 5.02825 + 2.42148i
\(457\) 26.8020 24.8686i 1.25374 1.16330i 0.274288 0.961648i \(-0.411558\pi\)
0.979456 0.201657i \(-0.0646326\pi\)
\(458\) −39.2063 + 5.90940i −1.83199 + 0.276128i
\(459\) −12.4293 + 21.5282i −0.580151 + 1.00485i
\(460\) 6.31023 + 10.9296i 0.294216 + 0.509597i
\(461\) −3.73352 4.68169i −0.173887 0.218048i 0.687249 0.726422i \(-0.258818\pi\)
−0.861136 + 0.508374i \(0.830247\pi\)
\(462\) −23.6435 41.4303i −1.10000 1.92751i
\(463\) −5.54022 + 6.94721i −0.257476 + 0.322864i −0.893722 0.448622i \(-0.851915\pi\)
0.636246 + 0.771486i \(0.280486\pi\)
\(464\) −46.6755 7.03520i −2.16686 0.326601i
\(465\) 2.45339 1.67269i 0.113773 0.0775692i
\(466\) −9.53212 + 6.49889i −0.441567 + 0.301055i
\(467\) 2.67620 + 0.403373i 0.123840 + 0.0186659i 0.210670 0.977557i \(-0.432436\pi\)
−0.0868298 + 0.996223i \(0.527674\pi\)
\(468\) 11.8038 14.8015i 0.545631 0.684200i
\(469\) 3.91927 + 0.610853i 0.180975 + 0.0282066i
\(470\) 1.68994 + 2.11912i 0.0779510 + 0.0977475i
\(471\) −12.9725 22.4691i −0.597742 1.03532i
\(472\) 33.2652 57.6170i 1.53115 2.65204i
\(473\) −18.0947 + 2.72734i −0.831995 + 0.125403i
\(474\) −21.2311 + 19.6995i −0.975175 + 0.904830i
\(475\) 34.6182 + 16.6712i 1.58839 + 0.764929i
\(476\) 38.2883 47.5211i 1.75494 2.17812i
\(477\) −43.0478 + 20.7307i −1.97102 + 0.949194i
\(478\) 0.877152 2.23495i 0.0401200 0.102224i
\(479\) −1.37866 + 18.3970i −0.0629926 + 0.840578i 0.872811 + 0.488058i \(0.162294\pi\)
−0.935804 + 0.352521i \(0.885325\pi\)
\(480\) 1.77444 + 0.547343i 0.0809918 + 0.0249827i
\(481\) −0.0645559 0.861439i −0.00294350 0.0392782i
\(482\) −10.8692 + 47.6212i −0.495080 + 2.16909i
\(483\) −18.7789 + 32.1525i −0.854469 + 1.46299i
\(484\) 3.66333 + 16.0501i 0.166515 + 0.729551i
\(485\) −7.03830 + 2.17103i −0.319593 + 0.0985814i
\(486\) 15.9906 + 40.7433i 0.725346 + 1.84815i
\(487\) 14.8387 + 13.7683i 0.672406 + 0.623902i 0.940621 0.339457i \(-0.110243\pi\)
−0.268215 + 0.963359i \(0.586434\pi\)
\(488\) 35.2027 + 24.0008i 1.59355 + 1.08647i
\(489\) 16.4923 0.745810
\(490\) 9.42552 4.42318i 0.425802 0.199819i
\(491\) 10.0456 0.453351 0.226676 0.973970i \(-0.427214\pi\)
0.226676 + 0.973970i \(0.427214\pi\)
\(492\) −45.4620 30.9955i −2.04959 1.39738i
\(493\) 41.5551 + 38.5575i 1.87155 + 1.73654i
\(494\) 7.48161 + 19.0628i 0.336613 + 0.857677i
\(495\) −7.00458 + 2.16063i −0.314832 + 0.0971129i
\(496\) −1.86054 8.15157i −0.0835408 0.366016i
\(497\) −1.55282 0.487524i −0.0696536 0.0218685i
\(498\) 2.43564 10.6712i 0.109144 0.478190i
\(499\) 0.353972 + 4.72343i 0.0158460 + 0.211450i 0.999506 + 0.0314160i \(0.0100017\pi\)
−0.983660 + 0.180034i \(0.942379\pi\)
\(500\) 22.7774 + 7.02590i 1.01864 + 0.314208i
\(501\) −0.971455 + 12.9632i −0.0434014 + 0.579151i
\(502\) 14.8156 37.7495i 0.661251 1.68484i
\(503\) −28.0689 + 13.5173i −1.25153 + 0.602705i −0.937922 0.346847i \(-0.887252\pi\)
−0.313609 + 0.949552i \(0.601538\pi\)
\(504\) 13.8337 + 62.0420i 0.616201 + 2.76357i
\(505\) 0.549507 + 0.264629i 0.0244527 + 0.0117758i
\(506\) −24.4545 + 22.6904i −1.08713 + 1.00871i
\(507\) 2.72712 0.411047i 0.121116 0.0182552i
\(508\) −11.3812 + 19.7128i −0.504959 + 0.874615i
\(509\) 13.7496 + 23.8150i 0.609441 + 1.05558i 0.991333 + 0.131375i \(0.0419392\pi\)
−0.381892 + 0.924207i \(0.624727\pi\)
\(510\) −14.3533 17.9985i −0.635574 0.796985i
\(511\) 16.9457 + 11.6783i 0.749632 + 0.516617i
\(512\) −27.1338 + 34.0247i −1.19916 + 1.50369i
\(513\) 36.2875 + 5.46946i 1.60213 + 0.241482i
\(514\) 51.4967 35.1098i 2.27142 1.54863i
\(515\) −0.575917 + 0.392654i −0.0253779 + 0.0173024i
\(516\) 77.5549 + 11.6895i 3.41416 + 0.514602i
\(517\) −3.00486 + 3.76798i −0.132154 + 0.165716i
\(518\) 4.65187 + 3.20588i 0.204391 + 0.140858i
\(519\) 14.7959 + 18.5535i 0.649467 + 0.814406i
\(520\) 1.56930 + 2.71811i 0.0688185 + 0.119197i
\(521\) −13.1753 + 22.8203i −0.577220 + 0.999775i 0.418576 + 0.908182i \(0.362529\pi\)
−0.995797 + 0.0915930i \(0.970804\pi\)
\(522\) −113.726 + 17.1414i −4.97765 + 0.750260i
\(523\) −16.9196 + 15.6991i −0.739843 + 0.686474i −0.957138 0.289632i \(-0.906467\pi\)
0.217295 + 0.976106i \(0.430277\pi\)
\(524\) 7.79598 + 3.75435i 0.340569 + 0.164009i
\(525\) 7.36496 + 33.0307i 0.321433 + 1.44158i
\(526\) −31.3288 + 15.0871i −1.36600 + 0.657831i
\(527\) −3.66851 + 9.34721i −0.159803 + 0.407171i
\(528\) −2.54712 + 33.9890i −0.110849 + 1.47918i
\(529\) 2.90463 + 0.895960i 0.126288 + 0.0389548i
\(530\) −1.15299 15.3856i −0.0500828 0.668308i
\(531\) 13.0735 57.2786i 0.567340 2.48568i
\(532\) −85.9532 26.9859i −3.72655 1.16999i
\(533\) −1.08013 4.73236i −0.0467856 0.204981i
\(534\) 63.1524 19.4799i 2.73287 0.842979i
\(535\) −1.26621 3.22625i −0.0547430 0.139483i
\(536\) −5.73243 5.31892i −0.247603 0.229742i
\(537\) 44.9623 + 30.6548i 1.94027 + 1.32285i
\(538\) 68.0492 2.93381
\(539\) 11.3969 + 14.5892i 0.490901 + 0.628399i
\(540\) 10.9552 0.471438
\(541\) −5.11152 3.48497i −0.219761 0.149831i 0.448436 0.893815i \(-0.351981\pi\)
−0.668197 + 0.743984i \(0.732934\pi\)
\(542\) 11.6148 + 10.7769i 0.498898 + 0.462910i
\(543\) −12.1026 30.8370i −0.519373 1.32334i
\(544\) −6.00057 + 1.85093i −0.257272 + 0.0793580i
\(545\) −2.08294 9.12596i −0.0892234 0.390913i
\(546\) −9.09656 + 15.5748i −0.389297 + 0.666540i
\(547\) −1.13955 + 4.99268i −0.0487235 + 0.213472i −0.993429 0.114448i \(-0.963490\pi\)
0.944706 + 0.327919i \(0.106347\pi\)
\(548\) 2.56527 + 34.2312i 0.109583 + 1.46228i
\(549\) 35.9530 + 11.0900i 1.53444 + 0.473311i
\(550\) −2.26582 + 30.2352i −0.0966148 + 1.28923i
\(551\) 30.5735 77.9000i 1.30247 3.31865i
\(552\) 66.1372 31.8500i 2.81499 1.35563i
\(553\) 7.05221 8.75277i 0.299890 0.372206i
\(554\) 15.6422 + 7.53287i 0.664572 + 0.320041i
\(555\) 1.05089 0.975085i 0.0446079 0.0413901i
\(556\) 33.0992 4.98890i 1.40372 0.211576i
\(557\) −6.61547 + 11.4583i −0.280306 + 0.485505i −0.971460 0.237203i \(-0.923769\pi\)
0.691154 + 0.722708i \(0.257103\pi\)
\(558\) −10.1861 17.6429i −0.431213 0.746884i
\(559\) 4.31398 + 5.40956i 0.182462 + 0.228800i
\(560\) −7.35071 1.14567i −0.310624 0.0484136i
\(561\) 25.5215 32.0029i 1.07752 1.35116i
\(562\) −36.6741 5.52774i −1.54700 0.233173i
\(563\) −17.6017 + 12.0006i −0.741823 + 0.505766i −0.874280 0.485423i \(-0.838666\pi\)
0.132457 + 0.991189i \(0.457713\pi\)
\(564\) 17.0671 11.6361i 0.718653 0.489969i
\(565\) 9.93684 + 1.49774i 0.418046 + 0.0630103i
\(566\) −45.3273 + 56.8386i −1.90525 + 2.38911i
\(567\) −2.10072 3.68106i −0.0882219 0.154590i
\(568\) 2.00056 + 2.50863i 0.0839417 + 0.105260i
\(569\) −15.2340 26.3860i −0.638642 1.10616i −0.985731 0.168328i \(-0.946163\pi\)
0.347089 0.937832i \(-0.387170\pi\)
\(570\) −16.9922 + 29.4313i −0.711725 + 1.23274i
\(571\) 37.2444 5.61369i 1.55863 0.234925i 0.687575 0.726113i \(-0.258675\pi\)
0.871054 + 0.491188i \(0.163437\pi\)
\(572\) −7.96841 + 7.39360i −0.333176 + 0.309142i
\(573\) −27.4667 13.2272i −1.14744 0.552576i
\(574\) 28.5321 + 13.9170i 1.19091 + 0.580886i
\(575\) 21.3231 10.2687i 0.889236 0.428234i
\(576\) −11.0729 + 28.2132i −0.461369 + 1.17555i
\(577\) 0.665727 8.88351i 0.0277146 0.369825i −0.966052 0.258347i \(-0.916822\pi\)
0.993767 0.111479i \(-0.0355587\pi\)
\(578\) 34.2355 + 10.5603i 1.42401 + 0.439249i
\(579\) −2.25385 30.0756i −0.0936669 1.24990i
\(580\) 5.55909 24.3560i 0.230829 1.01133i
\(581\) −0.338695 + 4.23447i −0.0140514 + 0.175675i
\(582\) 18.5687 + 81.3548i 0.769698 + 3.37227i
\(583\) 26.2149 8.08623i 1.08571 0.334898i
\(584\) −14.8228 37.7680i −0.613374 1.56285i
\(585\) 2.03176 + 1.88520i 0.0840029 + 0.0779433i
\(586\) −32.9525 22.4667i −1.36126 0.928089i
\(587\) 30.4016 1.25481 0.627404 0.778694i \(-0.284117\pi\)
0.627404 + 0.778694i \(0.284117\pi\)
\(588\) −28.2468 74.1501i −1.16488 3.05790i
\(589\) 14.8234 0.610788
\(590\) 15.6753 + 10.6872i 0.645341 + 0.439986i
\(591\) 33.3572 + 30.9510i 1.37213 + 1.27315i
\(592\) −1.47479 3.75770i −0.0606135 0.154441i
\(593\) 29.9322 9.23285i 1.22917 0.379148i 0.388879 0.921289i \(-0.372862\pi\)
0.840288 + 0.542141i \(0.182386\pi\)
\(594\) 6.44378 + 28.2320i 0.264391 + 1.15837i
\(595\) 6.51879 + 6.10968i 0.267244 + 0.250473i
\(596\) 16.9115 74.0943i 0.692724 3.03502i
\(597\) −2.51318 33.5360i −0.102858 1.37254i
\(598\) 12.0533 + 3.71796i 0.492897 + 0.152039i
\(599\) 1.60597 21.4302i 0.0656181 0.875613i −0.863149 0.504949i \(-0.831511\pi\)
0.928767 0.370664i \(-0.120870\pi\)
\(600\) 24.3747 62.1058i 0.995095 2.53546i
\(601\) −12.5854 + 6.06080i −0.513368 + 0.247225i −0.672587 0.740018i \(-0.734817\pi\)
0.159219 + 0.987243i \(0.449103\pi\)
\(602\) −45.2499 0.226946i −1.84425 0.00924965i
\(603\) −6.22178 2.99625i −0.253370 0.122017i
\(604\) −26.4709 + 24.5614i −1.07708 + 0.999388i
\(605\) −2.38326 + 0.359219i −0.0968935 + 0.0146043i
\(606\) 3.45494 5.98413i 0.140347 0.243088i
\(607\) −23.6227 40.9158i −0.958817 1.66072i −0.725381 0.688347i \(-0.758336\pi\)
−0.233436 0.972372i \(-0.574997\pi\)
\(608\) 5.77984 + 7.24768i 0.234403 + 0.293932i
\(609\) 70.5402 21.3719i 2.85843 0.866033i
\(610\) −7.57514 + 9.49892i −0.306708 + 0.384600i
\(611\) 1.80193 + 0.271597i 0.0728981 + 0.0109876i
\(612\) −87.7834 + 59.8497i −3.54843 + 2.41928i
\(613\) 27.1089 18.4825i 1.09492 0.746502i 0.125543 0.992088i \(-0.459933\pi\)
0.969375 + 0.245586i \(0.0789803\pi\)
\(614\) −65.0485 9.80449i −2.62515 0.395677i
\(615\) 5.02247 6.29798i 0.202526 0.253959i
\(616\) −2.54491 36.4089i −0.102537 1.46696i
\(617\) −18.6720 23.4140i −0.751708 0.942612i 0.247950 0.968773i \(-0.420243\pi\)
−0.999658 + 0.0261612i \(0.991672\pi\)
\(618\) 3.94849 + 6.83898i 0.158832 + 0.275104i
\(619\) −22.5916 + 39.1297i −0.908031 + 1.57276i −0.0912357 + 0.995829i \(0.529082\pi\)
−0.816796 + 0.576927i \(0.804252\pi\)
\(620\) 4.37579 0.659544i 0.175736 0.0264879i
\(621\) 16.5698 15.3745i 0.664922 0.616957i
\(622\) 13.2437 + 6.37782i 0.531023 + 0.255727i
\(623\) −23.1643 + 11.0126i −0.928059 + 0.441209i
\(624\) 11.6114 5.59174i 0.464826 0.223849i
\(625\) 7.19719 18.3382i 0.287888 0.733526i
\(626\) 1.68731 22.5156i 0.0674385 0.899904i
\(627\) −57.7427 17.8113i −2.30602 0.711314i
\(628\) −2.88951 38.5578i −0.115304 1.53862i
\(629\) −1.07876 + 4.72636i −0.0430130 + 0.188452i
\(630\) −17.9373 + 2.61167i −0.714639 + 0.104052i
\(631\) −7.27177 31.8597i −0.289485 1.26832i −0.885234 0.465145i \(-0.846002\pi\)
0.595750 0.803170i \(-0.296855\pi\)
\(632\) −21.1753 + 6.53171i −0.842308 + 0.259818i
\(633\) 5.72322 + 14.5825i 0.227478 + 0.579604i
\(634\) −13.6090 12.6273i −0.540481 0.501493i
\(635\) −2.75339 1.87723i −0.109265 0.0744957i
\(636\) −117.582 −4.66245
\(637\) 2.62262 6.49014i 0.103912 0.257149i
\(638\) 66.0361 2.61440
\(639\) 2.34115 + 1.59617i 0.0926144 + 0.0631434i
\(640\) −8.16155 7.57281i −0.322613 0.299341i
\(641\) −3.59265 9.15393i −0.141901 0.361558i 0.842200 0.539165i \(-0.181260\pi\)
−0.984102 + 0.177606i \(0.943165\pi\)
\(642\) −37.5213 + 11.5738i −1.48085 + 0.456780i
\(643\) −2.71848 11.9104i −0.107206 0.469701i −0.999822 0.0188825i \(-0.993989\pi\)
0.892615 0.450819i \(-0.148868\pi\)
\(644\) −46.0051 + 31.0289i −1.81285 + 1.22271i
\(645\) −2.55507 + 11.1945i −0.100606 + 0.440783i
\(646\) −8.58827 114.602i −0.337901 4.50898i
\(647\) 6.33088 + 1.95282i 0.248893 + 0.0767732i 0.416691 0.909048i \(-0.363190\pi\)
−0.167799 + 0.985821i \(0.553666\pi\)
\(648\) −0.624418 + 8.33228i −0.0245294 + 0.327323i
\(649\) −12.3243 + 31.4018i −0.483771 + 1.23263i
\(650\) 10.3290 4.97419i 0.405137 0.195104i
\(651\) 8.08895 + 10.2482i 0.317031 + 0.401660i
\(652\) 22.1445 + 10.6642i 0.867247 + 0.417644i
\(653\) −24.2602 + 22.5102i −0.949375 + 0.880891i −0.992995 0.118157i \(-0.962301\pi\)
0.0436202 + 0.999048i \(0.486111\pi\)
\(654\) −104.866 + 15.8060i −4.10058 + 0.618063i
\(655\) −0.633397 + 1.09708i −0.0247489 + 0.0428663i
\(656\) −11.3414 19.6439i −0.442807 0.766964i
\(657\) −22.3390 28.0122i −0.871526 1.09286i
\(658\) −8.77678 + 8.06212i −0.342154 + 0.314294i
\(659\) 20.9431 26.2618i 0.815828 1.02302i −0.183373 0.983043i \(-0.558702\pi\)
0.999201 0.0399725i \(-0.0127270\pi\)
\(660\) −17.8378 2.68862i −0.694336 0.104654i
\(661\) 35.5947 24.2680i 1.38447 0.943917i 0.384689 0.923046i \(-0.374309\pi\)
0.999782 0.0208708i \(-0.00664385\pi\)
\(662\) −59.9058 + 40.8431i −2.32831 + 1.58741i
\(663\) −15.3044 2.30677i −0.594376 0.0895877i
\(664\) 5.22156 6.54763i 0.202636 0.254097i
\(665\) 4.88010 12.2532i 0.189242 0.475160i
\(666\) −6.13242 7.68981i −0.237626 0.297974i
\(667\) −25.7729 44.6400i −0.997931 1.72847i
\(668\) −9.68660 + 16.7777i −0.374786 + 0.649148i
\(669\) 10.4602 1.57662i 0.404415 0.0609557i
\(670\) 1.63467 1.51675i 0.0631527 0.0585971i
\(671\) −19.4637 9.37321i −0.751387 0.361849i
\(672\) −1.85674 + 7.95089i −0.0716254 + 0.306712i
\(673\) 24.7315 11.9101i 0.953331 0.459100i 0.108478 0.994099i \(-0.465402\pi\)
0.844853 + 0.534999i \(0.179688\pi\)
\(674\) 19.5031 49.6931i 0.751231 1.91411i
\(675\) 1.53526 20.4867i 0.0590923 0.788532i
\(676\) 3.92754 + 1.21148i 0.151059 + 0.0465955i
\(677\) 0.748778 + 9.99175i 0.0287779 + 0.384014i 0.992933 + 0.118675i \(0.0378648\pi\)
−0.964155 + 0.265339i \(0.914516\pi\)
\(678\) 25.3340 110.995i 0.972946 4.26276i
\(679\) −11.6805 30.2059i −0.448255 1.15920i
\(680\) −3.91942 17.1721i −0.150303 0.658520i
\(681\) 57.3235 17.6820i 2.19664 0.677575i
\(682\) 4.27348 + 10.8887i 0.163640 + 0.416948i
\(683\) −6.13517 5.69260i −0.234756 0.217821i 0.554019 0.832504i \(-0.313094\pi\)
−0.788774 + 0.614683i \(0.789284\pi\)
\(684\) 129.589 + 88.3526i 4.95497 + 3.37824i
\(685\) −5.02554 −0.192016
\(686\) 22.2907 + 39.9862i 0.851064 + 1.52668i
\(687\) −44.2375 −1.68777
\(688\) 26.7144 + 18.2136i 1.01848 + 0.694386i
\(689\) −7.60395 7.05543i −0.289687 0.268791i
\(690\) 7.64759 + 19.4857i 0.291139 + 0.741810i
\(691\) 11.5644 3.56715i 0.439932 0.135701i −0.0668737 0.997761i \(-0.521302\pi\)
0.506805 + 0.862060i \(0.330826\pi\)
\(692\) 7.86968 + 34.4793i 0.299160 + 1.31071i
\(693\) −11.6245 30.0611i −0.441577 1.14193i
\(694\) 18.0851 79.2359i 0.686500 3.00775i
\(695\) 0.366215 + 4.88679i 0.0138913 + 0.185367i
\(696\) −138.854 42.8307i −5.26324 1.62349i
\(697\) −2.03570 + 27.1646i −0.0771077 + 1.02893i
\(698\) −22.9815 + 58.5560i −0.869863 + 2.21638i
\(699\) −11.5971 + 5.58488i −0.438644 + 0.211240i
\(700\) −11.4692 + 49.1132i −0.433496 + 1.85631i
\(701\) 26.0198 + 12.5305i 0.982756 + 0.473270i 0.855052 0.518542i \(-0.173525\pi\)
0.127704 + 0.991812i \(0.459239\pi\)
\(702\) 8.02646 7.44747i 0.302939 0.281086i
\(703\) 7.07674 1.06665i 0.266904 0.0402294i
\(704\) 8.70112 15.0708i 0.327936 0.568001i
\(705\) 1.51206 + 2.61896i 0.0569473 + 0.0986357i
\(706\) 29.2120 + 36.6306i 1.09941 + 1.37861i
\(707\) −0.992246 + 2.49139i −0.0373172 + 0.0936983i
\(708\) 90.1470 113.041i 3.38793 4.24833i
\(709\) 30.6025 + 4.61259i 1.14930 + 0.173229i 0.695942 0.718098i \(-0.254987\pi\)
0.453360 + 0.891327i \(0.350225\pi\)
\(710\) −0.755995 + 0.515428i −0.0283720 + 0.0193437i
\(711\) −16.1686 + 11.0235i −0.606369 + 0.413415i
\(712\) 50.0008 + 7.53640i 1.87386 + 0.282439i
\(713\) 5.69278 7.13852i 0.213196 0.267340i
\(714\) 74.5445 68.4747i 2.78976 2.56260i
\(715\) −0.992226 1.24421i −0.0371072 0.0465309i
\(716\) 40.5497 + 70.2341i 1.51541 + 2.62477i
\(717\) 1.33938 2.31987i 0.0500199 0.0866371i
\(718\) 41.5601 6.26418i 1.55101 0.233777i
\(719\) 0.469079 0.435241i 0.0174937 0.0162318i −0.671377 0.741116i \(-0.734297\pi\)
0.688871 + 0.724884i \(0.258107\pi\)
\(720\) 11.6691 + 5.61956i 0.434883 + 0.209429i
\(721\) −1.89883 2.40571i −0.0707162 0.0895934i
\(722\) −110.540 + 53.2331i −4.11386 + 1.98113i
\(723\) −19.9105 + 50.7312i −0.740480 + 1.88671i
\(724\) 3.68936 49.2310i 0.137114 1.82966i
\(725\) −44.7675 13.8089i −1.66262 0.512851i
\(726\) 2.04057 + 27.2296i 0.0757328 + 1.01058i
\(727\) 8.78132 38.4735i 0.325681 1.42690i −0.501593 0.865104i \(-0.667252\pi\)
0.827274 0.561799i \(-0.189891\pi\)
\(728\) −11.4411 + 7.71664i −0.424035 + 0.285998i
\(729\) 9.79718 + 42.9242i 0.362858 + 1.58979i
\(730\) 11.0557 3.41024i 0.409191 0.126219i
\(731\) −14.1860 36.1454i −0.524689 1.33689i
\(732\) 67.8746 + 62.9785i 2.50872 + 2.32775i
\(733\) 33.6603 + 22.9492i 1.24327 + 0.847648i 0.992719 0.120455i \(-0.0384355\pi\)
0.250552 + 0.968103i \(0.419388\pi\)
\(734\) −59.4351 −2.19379
\(735\) 11.1343 3.31255i 0.410696 0.122185i
\(736\) 5.70996 0.210472
\(737\) 3.27608 + 2.23359i 0.120676 + 0.0822754i
\(738\) −40.5137 37.5912i −1.49133 1.38375i
\(739\) 14.0926 + 35.9072i 0.518403 + 1.32087i 0.915214 + 0.402969i \(0.132022\pi\)
−0.396811 + 0.917900i \(0.629883\pi\)
\(740\) 2.04156 0.629737i 0.0750491 0.0231496i
\(741\) 5.08421 + 22.2754i 0.186773 + 0.818307i
\(742\) 67.1311 9.77430i 2.46446 0.358826i
\(743\) 3.04671 13.3485i 0.111773 0.489710i −0.887793 0.460244i \(-0.847762\pi\)
0.999566 0.0294664i \(-0.00938080\pi\)
\(744\) −1.92349 25.6673i −0.0705187 0.941007i
\(745\) 10.6321 + 3.27958i 0.389532 + 0.120155i
\(746\) −0.173238 + 2.31171i −0.00634271 + 0.0846376i
\(747\) 2.70190 6.88434i 0.0988575 0.251885i
\(748\) 54.9617 26.4682i 2.00960 0.967772i
\(749\) 13.7628 6.54299i 0.502882 0.239076i
\(750\) 35.6206 + 17.1540i 1.30068 + 0.626375i
\(751\) −17.0021 + 15.7757i −0.620417 + 0.575663i −0.926478 0.376349i \(-0.877179\pi\)
0.306061 + 0.952012i \(0.400989\pi\)
\(752\) 8.42031 1.26916i 0.307057 0.0462814i
\(753\) 22.6228 39.1838i 0.824421 1.42794i
\(754\) −12.4845 21.6238i −0.454659 0.787492i
\(755\) −3.29615 4.13325i −0.119959 0.150424i
\(756\) 3.35873 + 48.0519i 0.122156 + 1.74763i
\(757\) 4.71232 5.90906i 0.171272 0.214769i −0.688786 0.724965i \(-0.741856\pi\)
0.860058 + 0.510196i \(0.170427\pi\)
\(758\) −45.0257 6.78653i −1.63541 0.246498i
\(759\) −30.7529 + 20.9670i −1.11626 + 0.761052i
\(760\) −21.4839 + 14.6475i −0.779304 + 0.531320i
\(761\) 14.0136 + 2.11221i 0.507992 + 0.0765675i 0.398037 0.917369i \(-0.369691\pi\)
0.109954 + 0.993937i \(0.464929\pi\)
\(762\) −23.5396 + 29.5177i −0.852749 + 1.06931i
\(763\) 39.3898 11.9341i 1.42601 0.432044i
\(764\) −28.3269 35.5209i −1.02483 1.28510i
\(765\) −7.77716 13.4704i −0.281184 0.487025i
\(766\) −40.2610 + 69.7342i −1.45469 + 2.51960i
\(767\) 12.6126 1.90105i 0.455416 0.0686428i
\(768\) −65.8598 + 61.1090i −2.37651 + 2.20508i
\(769\) 33.4830 + 16.1246i 1.20743 + 0.581467i 0.925784 0.378052i \(-0.123406\pi\)
0.281644 + 0.959519i \(0.409120\pi\)
\(770\) 10.4076 + 0.0521983i 0.375064 + 0.00188110i
\(771\) 62.6527 30.1720i 2.25638 1.08662i
\(772\) 16.4211 41.8403i 0.591009 1.50587i
\(773\) −1.29017 + 17.2161i −0.0464042 + 0.619221i 0.924720 + 0.380647i \(0.124299\pi\)
−0.971124 + 0.238573i \(0.923320\pi\)