Properties

Label 770.2.w.a.139.10
Level $770$
Weight $2$
Character 770.139
Analytic conductor $6.148$
Analytic rank $0$
Dimension $96$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.w (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(96\)
Relative dimension: \(24\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 139.10
Character \(\chi\) \(=\) 770.139
Dual form 770.2.w.a.349.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.809017 - 0.587785i) q^{2} +(-0.266549 + 0.820354i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.93580 + 1.11923i) q^{5} +(0.697835 - 0.507006i) q^{6} +(-2.50422 - 0.853746i) q^{7} +(0.309017 - 0.951057i) q^{8} +(1.82512 + 1.32603i) q^{9} +O(q^{10})\) \(q+(-0.809017 - 0.587785i) q^{2} +(-0.266549 + 0.820354i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.93580 + 1.11923i) q^{5} +(0.697835 - 0.507006i) q^{6} +(-2.50422 - 0.853746i) q^{7} +(0.309017 - 0.951057i) q^{8} +(1.82512 + 1.32603i) q^{9} +(-0.908230 - 2.04331i) q^{10} +(-3.27459 + 0.526346i) q^{11} -0.862571 q^{12} +(-1.64268 + 2.26095i) q^{13} +(1.52414 + 2.16264i) q^{14} +(-1.43415 + 1.28971i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(1.88281 + 2.59146i) q^{17} +(-0.697133 - 2.14556i) q^{18} +(-0.715313 + 2.20151i) q^{19} +(-0.466255 + 2.18692i) q^{20} +(1.36787 - 1.82678i) q^{21} +(2.95858 + 1.49893i) q^{22} -5.07812i q^{23} +(0.697835 + 0.507006i) q^{24} +(2.49465 + 4.33321i) q^{25} +(2.65791 - 0.863607i) q^{26} +(-3.66780 + 2.66481i) q^{27} +(0.0381137 - 2.64548i) q^{28} +(-4.94646 + 1.60720i) q^{29} +(1.91833 - 0.200427i) q^{30} +(2.37730 - 3.27208i) q^{31} +1.00000 q^{32} +(0.441050 - 2.82662i) q^{33} -3.20322i q^{34} +(-3.89214 - 4.45548i) q^{35} +(-0.697133 + 2.14556i) q^{36} +(-4.11787 + 1.33798i) q^{37} +(1.87271 - 1.36061i) q^{38} +(-1.41693 - 1.95023i) q^{39} +(1.66265 - 1.49520i) q^{40} +(-0.541521 + 1.66663i) q^{41} +(-2.18039 + 0.673883i) q^{42} -9.38054 q^{43} +(-1.51249 - 2.95167i) q^{44} +(2.04894 + 4.60965i) q^{45} +(-2.98484 + 4.10828i) q^{46} +(-2.33266 + 7.17920i) q^{47} +(-0.266549 - 0.820354i) q^{48} +(5.54224 + 4.27593i) q^{49} +(0.528780 - 4.97196i) q^{50} +(-2.62778 + 0.853816i) q^{51} +(-2.65791 - 0.863607i) q^{52} +(-1.07728 + 1.48275i) q^{53} +4.53365 q^{54} +(-6.92806 - 2.64612i) q^{55} +(-1.58581 + 2.11783i) q^{56} +(-1.61535 - 1.17362i) q^{57} +(4.94646 + 1.60720i) q^{58} +(9.20055 - 2.98944i) q^{59} +(-1.66977 - 0.965414i) q^{60} +(-6.40016 + 4.64999i) q^{61} +(-3.84656 + 1.24982i) q^{62} +(-3.43841 - 4.87885i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-5.71042 + 2.53822i) q^{65} +(-2.01826 + 2.02754i) q^{66} +7.62687i q^{67} +(-1.88281 + 2.59146i) q^{68} +(4.16585 + 1.35357i) q^{69} +(0.529940 + 5.89230i) q^{70} +(-6.31238 + 4.58621i) q^{71} +(1.82512 - 1.32603i) q^{72} +(5.53071 - 1.79704i) q^{73} +(4.11787 + 1.33798i) q^{74} +(-4.21971 + 0.891485i) q^{75} -2.31480 q^{76} +(8.64967 + 1.47758i) q^{77} +2.41062i q^{78} +(7.48280 - 10.2992i) q^{79} +(-2.22396 + 0.232360i) q^{80} +(0.882961 + 2.71747i) q^{81} +(1.41772 - 1.03003i) q^{82} +(5.00477 + 6.88848i) q^{83} +(2.16007 + 0.736416i) q^{84} +(0.744301 + 7.12385i) q^{85} +(7.58901 + 5.51374i) q^{86} -4.48625i q^{87} +(-0.511320 + 3.27697i) q^{88} +10.0985i q^{89} +(1.05186 - 4.93362i) q^{90} +(6.04390 - 4.25949i) q^{91} +(4.82958 - 1.56922i) q^{92} +(2.05059 + 2.82240i) q^{93} +(6.10699 - 4.43699i) q^{94} +(-3.84870 + 3.46108i) q^{95} +(-0.266549 + 0.820354i) q^{96} +(-2.05624 - 1.49394i) q^{97} +(-1.97043 - 6.71695i) q^{98} +(-6.67447 - 3.38155i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 96 q - 24 q^{2} - 24 q^{4} - 3 q^{7} - 24 q^{8} - 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 96 q - 24 q^{2} - 24 q^{4} - 3 q^{7} - 24 q^{8} - 18 q^{9} + 4 q^{11} - 3 q^{14} - 6 q^{15} - 24 q^{16} - 28 q^{18} + 4 q^{22} - 42 q^{25} + 2 q^{28} - 6 q^{30} + 96 q^{32} + 14 q^{35} - 28 q^{36} + 10 q^{39} + 24 q^{43} - 16 q^{44} + 37 q^{49} + 8 q^{50} - 30 q^{51} - 40 q^{53} + 2 q^{56} + 20 q^{57} - 6 q^{60} - 63 q^{63} - 24 q^{64} + 40 q^{65} + 9 q^{70} - 20 q^{71} - 18 q^{72} + 16 q^{77} - 126 q^{81} + 100 q^{85} - 36 q^{86} + 14 q^{88} - 31 q^{91} + 10 q^{92} - 20 q^{93} - 16 q^{95} - 18 q^{98} + 100 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{7}{10}\right)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.809017 0.587785i −0.572061 0.415627i
\(3\) −0.266549 + 0.820354i −0.153892 + 0.473631i −0.998047 0.0624681i \(-0.980103\pi\)
0.844155 + 0.536100i \(0.180103\pi\)
\(4\) 0.309017 + 0.951057i 0.154508 + 0.475528i
\(5\) 1.93580 + 1.11923i 0.865717 + 0.500534i
\(6\) 0.697835 0.507006i 0.284890 0.206985i
\(7\) −2.50422 0.853746i −0.946506 0.322685i
\(8\) 0.309017 0.951057i 0.109254 0.336249i
\(9\) 1.82512 + 1.32603i 0.608373 + 0.442009i
\(10\) −0.908230 2.04331i −0.287207 0.646152i
\(11\) −3.27459 + 0.526346i −0.987327 + 0.158699i
\(12\) −0.862571 −0.249003
\(13\) −1.64268 + 2.26095i −0.455597 + 0.627075i −0.973588 0.228310i \(-0.926680\pi\)
0.517992 + 0.855386i \(0.326680\pi\)
\(14\) 1.52414 + 2.16264i 0.407343 + 0.577989i
\(15\) −1.43415 + 1.28971i −0.370296 + 0.333002i
\(16\) −0.809017 + 0.587785i −0.202254 + 0.146946i
\(17\) 1.88281 + 2.59146i 0.456648 + 0.628522i 0.973809 0.227366i \(-0.0730113\pi\)
−0.517161 + 0.855888i \(0.673011\pi\)
\(18\) −0.697133 2.14556i −0.164316 0.505712i
\(19\) −0.715313 + 2.20151i −0.164104 + 0.505060i −0.998969 0.0453942i \(-0.985546\pi\)
0.834865 + 0.550455i \(0.185546\pi\)
\(20\) −0.466255 + 2.18692i −0.104258 + 0.489010i
\(21\) 1.36787 1.82678i 0.298494 0.398636i
\(22\) 2.95858 + 1.49893i 0.630771 + 0.319574i
\(23\) 5.07812i 1.05886i −0.848353 0.529430i \(-0.822406\pi\)
0.848353 0.529430i \(-0.177594\pi\)
\(24\) 0.697835 + 0.507006i 0.142445 + 0.103492i
\(25\) 2.49465 + 4.33321i 0.498931 + 0.866642i
\(26\) 2.65791 0.863607i 0.521259 0.169367i
\(27\) −3.66780 + 2.66481i −0.705868 + 0.512843i
\(28\) 0.0381137 2.64548i 0.00720281 0.499948i
\(29\) −4.94646 + 1.60720i −0.918535 + 0.298450i −0.729866 0.683590i \(-0.760418\pi\)
−0.188670 + 0.982041i \(0.560418\pi\)
\(30\) 1.91833 0.200427i 0.350237 0.0365928i
\(31\) 2.37730 3.27208i 0.426976 0.587682i −0.540280 0.841486i \(-0.681682\pi\)
0.967256 + 0.253803i \(0.0816815\pi\)
\(32\) 1.00000 0.176777
\(33\) 0.441050 2.82662i 0.0767769 0.492052i
\(34\) 3.20322i 0.549348i
\(35\) −3.89214 4.45548i −0.657891 0.753113i
\(36\) −0.697133 + 2.14556i −0.116189 + 0.357593i
\(37\) −4.11787 + 1.33798i −0.676974 + 0.219962i −0.627270 0.778802i \(-0.715828\pi\)
−0.0497042 + 0.998764i \(0.515828\pi\)
\(38\) 1.87271 1.36061i 0.303794 0.220720i
\(39\) −1.41693 1.95023i −0.226890 0.312287i
\(40\) 1.66265 1.49520i 0.262887 0.236411i
\(41\) −0.541521 + 1.66663i −0.0845713 + 0.260284i −0.984396 0.175968i \(-0.943694\pi\)
0.899824 + 0.436252i \(0.143694\pi\)
\(42\) −2.18039 + 0.673883i −0.336441 + 0.103982i
\(43\) −9.38054 −1.43052 −0.715259 0.698859i \(-0.753691\pi\)
−0.715259 + 0.698859i \(0.753691\pi\)
\(44\) −1.51249 2.95167i −0.228016 0.444981i
\(45\) 2.04894 + 4.60965i 0.305438 + 0.687166i
\(46\) −2.98484 + 4.10828i −0.440091 + 0.605733i
\(47\) −2.33266 + 7.17920i −0.340254 + 1.04719i 0.623822 + 0.781566i \(0.285579\pi\)
−0.964076 + 0.265627i \(0.914421\pi\)
\(48\) −0.266549 0.820354i −0.0384730 0.118408i
\(49\) 5.54224 + 4.27593i 0.791748 + 0.610848i
\(50\) 0.528780 4.97196i 0.0747808 0.703141i
\(51\) −2.62778 + 0.853816i −0.367962 + 0.119558i
\(52\) −2.65791 0.863607i −0.368586 0.119761i
\(53\) −1.07728 + 1.48275i −0.147976 + 0.203672i −0.876570 0.481274i \(-0.840174\pi\)
0.728594 + 0.684946i \(0.240174\pi\)
\(54\) 4.53365 0.616951
\(55\) −6.92806 2.64612i −0.934180 0.356802i
\(56\) −1.58581 + 2.11783i −0.211912 + 0.283007i
\(57\) −1.61535 1.17362i −0.213958 0.155450i
\(58\) 4.94646 + 1.60720i 0.649503 + 0.211036i
\(59\) 9.20055 2.98944i 1.19781 0.389192i 0.358855 0.933393i \(-0.383167\pi\)
0.838954 + 0.544202i \(0.183167\pi\)
\(60\) −1.66977 0.965414i −0.215566 0.124634i
\(61\) −6.40016 + 4.64999i −0.819457 + 0.595370i −0.916557 0.399904i \(-0.869043\pi\)
0.0971000 + 0.995275i \(0.469043\pi\)
\(62\) −3.84656 + 1.24982i −0.488513 + 0.158728i
\(63\) −3.43841 4.87885i −0.433199 0.614677i
\(64\) −0.809017 0.587785i −0.101127 0.0734732i
\(65\) −5.71042 + 2.53822i −0.708291 + 0.314828i
\(66\) −2.01826 + 2.02754i −0.248431 + 0.249573i
\(67\) 7.62687i 0.931770i 0.884845 + 0.465885i \(0.154264\pi\)
−0.884845 + 0.465885i \(0.845736\pi\)
\(68\) −1.88281 + 2.59146i −0.228324 + 0.314261i
\(69\) 4.16585 + 1.35357i 0.501510 + 0.162950i
\(70\) 0.529940 + 5.89230i 0.0633399 + 0.704264i
\(71\) −6.31238 + 4.58621i −0.749141 + 0.544283i −0.895561 0.444940i \(-0.853225\pi\)
0.146419 + 0.989223i \(0.453225\pi\)
\(72\) 1.82512 1.32603i 0.215092 0.156274i
\(73\) 5.53071 1.79704i 0.647320 0.210327i 0.0330882 0.999452i \(-0.489466\pi\)
0.614232 + 0.789125i \(0.289466\pi\)
\(74\) 4.11787 + 1.33798i 0.478693 + 0.155537i
\(75\) −4.21971 + 0.891485i −0.487250 + 0.102940i
\(76\) −2.31480 −0.265526
\(77\) 8.64967 + 1.47758i 0.985721 + 0.168386i
\(78\) 2.41062i 0.272949i
\(79\) 7.48280 10.2992i 0.841881 1.15875i −0.143713 0.989619i \(-0.545904\pi\)
0.985594 0.169130i \(-0.0540959\pi\)
\(80\) −2.22396 + 0.232360i −0.248647 + 0.0259786i
\(81\) 0.882961 + 2.71747i 0.0981067 + 0.301941i
\(82\) 1.41772 1.03003i 0.156561 0.113748i
\(83\) 5.00477 + 6.88848i 0.549345 + 0.756109i 0.989923 0.141606i \(-0.0452265\pi\)
−0.440578 + 0.897714i \(0.645227\pi\)
\(84\) 2.16007 + 0.736416i 0.235683 + 0.0803496i
\(85\) 0.744301 + 7.12385i 0.0807308 + 0.772690i
\(86\) 7.58901 + 5.51374i 0.818344 + 0.594562i
\(87\) 4.48625i 0.480976i
\(88\) −0.511320 + 3.27697i −0.0545069 + 0.349326i
\(89\) 10.0985i 1.07044i 0.844713 + 0.535220i \(0.179771\pi\)
−0.844713 + 0.535220i \(0.820229\pi\)
\(90\) 1.05186 4.93362i 0.110875 0.520049i
\(91\) 6.04390 4.25949i 0.633573 0.446516i
\(92\) 4.82958 1.56922i 0.503518 0.163603i
\(93\) 2.05059 + 2.82240i 0.212637 + 0.292669i
\(94\) 6.10699 4.43699i 0.629888 0.457640i
\(95\) −3.84870 + 3.46108i −0.394868 + 0.355099i
\(96\) −0.266549 + 0.820354i −0.0272046 + 0.0837270i
\(97\) −2.05624 1.49394i −0.208779 0.151687i 0.478482 0.878097i \(-0.341187\pi\)
−0.687261 + 0.726410i \(0.741187\pi\)
\(98\) −1.97043 6.71695i −0.199044 0.678514i
\(99\) −6.67447 3.38155i −0.670810 0.339859i
\(100\) −3.35024 + 3.71159i −0.335024 + 0.371159i
\(101\) −14.5947 10.6037i −1.45223 1.05511i −0.985304 0.170812i \(-0.945361\pi\)
−0.466928 0.884296i \(-0.654639\pi\)
\(102\) 2.62778 + 0.853816i 0.260189 + 0.0845404i
\(103\) 4.61982 + 14.2183i 0.455204 + 1.40098i 0.870895 + 0.491469i \(0.163540\pi\)
−0.415691 + 0.909506i \(0.636460\pi\)
\(104\) 1.64268 + 2.26095i 0.161078 + 0.221705i
\(105\) 4.69251 2.00532i 0.457942 0.195700i
\(106\) 1.74308 0.566362i 0.169303 0.0550099i
\(107\) −3.71561 + 11.4355i −0.359201 + 1.10551i 0.594332 + 0.804220i \(0.297417\pi\)
−0.953533 + 0.301288i \(0.902583\pi\)
\(108\) −3.66780 2.66481i −0.352934 0.256422i
\(109\) 9.34603i 0.895188i −0.894237 0.447594i \(-0.852281\pi\)
0.894237 0.447594i \(-0.147719\pi\)
\(110\) 4.04957 + 6.21297i 0.386112 + 0.592383i
\(111\) 3.73475i 0.354487i
\(112\) 2.52778 0.781249i 0.238852 0.0738211i
\(113\) 0.283887 + 0.0922405i 0.0267058 + 0.00867725i 0.322339 0.946624i \(-0.395531\pi\)
−0.295634 + 0.955301i \(0.595531\pi\)
\(114\) 0.617008 + 1.89896i 0.0577881 + 0.177854i
\(115\) 5.68358 9.83022i 0.529996 0.916673i
\(116\) −3.05708 4.20771i −0.283843 0.390676i
\(117\) −5.99617 + 1.94827i −0.554346 + 0.180118i
\(118\) −9.20055 2.98944i −0.846979 0.275200i
\(119\) −2.50252 8.09703i −0.229405 0.742254i
\(120\) 0.783413 + 1.76250i 0.0715155 + 0.160894i
\(121\) 10.4459 3.44714i 0.949629 0.313376i
\(122\) 7.91104 0.716232
\(123\) −1.22288 0.888477i −0.110264 0.0801113i
\(124\) 3.84656 + 1.24982i 0.345431 + 0.112237i
\(125\) −0.0207026 + 11.1803i −0.00185170 + 0.999998i
\(126\) −0.0859834 + 5.96812i −0.00766001 + 0.531682i
\(127\) 11.4465 8.31638i 1.01571 0.737959i 0.0503137 0.998733i \(-0.483978\pi\)
0.965400 + 0.260774i \(0.0839779\pi\)
\(128\) 0.309017 + 0.951057i 0.0273135 + 0.0840623i
\(129\) 2.50037 7.69536i 0.220146 0.677539i
\(130\) 6.11176 + 1.30304i 0.536036 + 0.114284i
\(131\) −6.97684 −0.609570 −0.304785 0.952421i \(-0.598585\pi\)
−0.304785 + 0.952421i \(0.598585\pi\)
\(132\) 2.82457 0.454011i 0.245847 0.0395166i
\(133\) 3.67083 4.90236i 0.318301 0.425089i
\(134\) 4.48296 6.17027i 0.387269 0.533030i
\(135\) −10.0827 + 1.05344i −0.867777 + 0.0906656i
\(136\) 3.04645 0.989851i 0.261231 0.0848790i
\(137\) 0.368589 + 0.507319i 0.0314907 + 0.0433432i 0.824472 0.565903i \(-0.191472\pi\)
−0.792981 + 0.609246i \(0.791472\pi\)
\(138\) −2.57464 3.54369i −0.219168 0.301659i
\(139\) −1.58606 4.88139i −0.134528 0.414034i 0.860988 0.508625i \(-0.169846\pi\)
−0.995516 + 0.0945903i \(0.969846\pi\)
\(140\) 3.03467 5.07846i 0.256477 0.429208i
\(141\) −5.26771 3.82722i −0.443621 0.322310i
\(142\) 7.80253 0.654774
\(143\) 4.18906 8.26831i 0.350307 0.691431i
\(144\) −2.25597 −0.187998
\(145\) −11.3742 2.42500i −0.944576 0.201385i
\(146\) −5.53071 1.79704i −0.457725 0.148724i
\(147\) −4.98506 + 3.40685i −0.411161 + 0.280992i
\(148\) −2.54499 3.50287i −0.209197 0.287934i
\(149\) −0.477780 0.657608i −0.0391413 0.0538734i 0.788998 0.614396i \(-0.210600\pi\)
−0.828139 + 0.560523i \(0.810600\pi\)
\(150\) 3.93782 + 1.75906i 0.321522 + 0.143627i
\(151\) 22.4671 + 7.30000i 1.82835 + 0.594066i 0.999396 + 0.0347436i \(0.0110614\pi\)
0.828950 + 0.559322i \(0.188939\pi\)
\(152\) 1.87271 + 1.36061i 0.151897 + 0.110360i
\(153\) 7.22638i 0.584218i
\(154\) −6.12923 6.27954i −0.493907 0.506019i
\(155\) 8.26419 3.67334i 0.663796 0.295050i
\(156\) 1.41693 1.95023i 0.113445 0.156143i
\(157\) 6.32923 19.4794i 0.505128 1.55462i −0.295428 0.955365i \(-0.595462\pi\)
0.800556 0.599258i \(-0.204538\pi\)
\(158\) −12.1074 + 3.93394i −0.963215 + 0.312968i
\(159\) −0.929234 1.27898i −0.0736930 0.101430i
\(160\) 1.93580 + 1.11923i 0.153039 + 0.0884828i
\(161\) −4.33542 + 12.7167i −0.341679 + 1.00222i
\(162\) 0.882961 2.71747i 0.0693719 0.213505i
\(163\) 10.4294 14.3549i 0.816897 1.12436i −0.173325 0.984865i \(-0.555451\pi\)
0.990222 0.139498i \(-0.0445488\pi\)
\(164\) −1.75240 −0.136839
\(165\) 4.01742 4.97814i 0.312756 0.387548i
\(166\) 8.51463i 0.660863i
\(167\) −8.81319 + 12.1303i −0.681985 + 0.938672i −0.999956 0.00942838i \(-0.996999\pi\)
0.317970 + 0.948101i \(0.396999\pi\)
\(168\) −1.31468 1.86543i −0.101430 0.143921i
\(169\) 1.60371 + 4.93570i 0.123362 + 0.379670i
\(170\) 3.58514 6.20081i 0.274968 0.475580i
\(171\) −4.22479 + 3.06949i −0.323078 + 0.234730i
\(172\) −2.89875 8.92142i −0.221027 0.680252i
\(173\) 9.90285 + 3.21763i 0.752900 + 0.244632i 0.660229 0.751065i \(-0.270459\pi\)
0.0926713 + 0.995697i \(0.470459\pi\)
\(174\) −2.63695 + 3.62945i −0.199907 + 0.275148i
\(175\) −2.54770 12.9811i −0.192588 0.981280i
\(176\) 2.33982 2.35058i 0.176371 0.177182i
\(177\) 8.34453i 0.627214i
\(178\) 5.93576 8.16987i 0.444904 0.612357i
\(179\) 6.37999 19.6356i 0.476863 1.46763i −0.366565 0.930392i \(-0.619466\pi\)
0.843428 0.537242i \(-0.180534\pi\)
\(180\) −3.75088 + 3.37312i −0.279574 + 0.251417i
\(181\) −9.18635 12.6439i −0.682816 0.939816i 0.317147 0.948376i \(-0.397275\pi\)
−0.999963 + 0.00856029i \(0.997275\pi\)
\(182\) −7.39329 0.106516i −0.548027 0.00789548i
\(183\) −2.10868 6.48985i −0.155878 0.479743i
\(184\) −4.82958 1.56922i −0.356041 0.115685i
\(185\) −9.46889 2.01878i −0.696167 0.148424i
\(186\) 3.48868i 0.255802i
\(187\) −7.52944 7.49498i −0.550607 0.548087i
\(188\) −7.54865 −0.550542
\(189\) 11.4600 3.54191i 0.833596 0.257636i
\(190\) 5.14803 0.537868i 0.373478 0.0390210i
\(191\) 2.08165 + 6.40667i 0.150623 + 0.463571i 0.997691 0.0679140i \(-0.0216343\pi\)
−0.847068 + 0.531485i \(0.821634\pi\)
\(192\) 0.697835 0.507006i 0.0503619 0.0365900i
\(193\) 6.75164 4.90535i 0.485994 0.353095i −0.317648 0.948209i \(-0.602893\pi\)
0.803642 + 0.595114i \(0.202893\pi\)
\(194\) 0.785413 + 2.41725i 0.0563894 + 0.173549i
\(195\) −0.560132 5.36113i −0.0401119 0.383918i
\(196\) −2.35401 + 6.59232i −0.168144 + 0.470880i
\(197\) 3.95782 0.281983 0.140991 0.990011i \(-0.454971\pi\)
0.140991 + 0.990011i \(0.454971\pi\)
\(198\) 3.41213 + 6.65889i 0.242490 + 0.473227i
\(199\) 2.77356i 0.196612i 0.995156 + 0.0983062i \(0.0313425\pi\)
−0.995156 + 0.0983062i \(0.968658\pi\)
\(200\) 4.89202 1.03352i 0.345918 0.0730809i
\(201\) −6.25673 2.03293i −0.441316 0.143392i
\(202\) 5.57470 + 17.1571i 0.392234 + 1.20717i
\(203\) 13.7592 + 0.198230i 0.965705 + 0.0139130i
\(204\) −1.62406 2.23532i −0.113707 0.156504i
\(205\) −2.91362 + 2.62018i −0.203496 + 0.183001i
\(206\) 4.61982 14.2183i 0.321878 0.990639i
\(207\) 6.73372 9.26817i 0.468026 0.644182i
\(208\) 2.79469i 0.193777i
\(209\) 1.18360 7.58554i 0.0818716 0.524703i
\(210\) −4.97502 1.13585i −0.343309 0.0783810i
\(211\) 13.8526 19.0665i 0.953653 1.31259i 0.00376806 0.999993i \(-0.498801\pi\)
0.949885 0.312598i \(-0.101199\pi\)
\(212\) −1.74308 0.566362i −0.119715 0.0388979i
\(213\) −2.07976 6.40083i −0.142503 0.438578i
\(214\) 9.72759 7.06751i 0.664964 0.483125i
\(215\) −18.1589 10.4990i −1.23842 0.716024i
\(216\) 1.40097 + 4.31176i 0.0953242 + 0.293378i
\(217\) −8.74681 + 6.16439i −0.593772 + 0.418466i
\(218\) −5.49346 + 7.56110i −0.372064 + 0.512102i
\(219\) 5.01614i 0.338959i
\(220\) 0.375718 7.40668i 0.0253309 0.499358i
\(221\) −8.95202 −0.602178
\(222\) −2.19523 + 3.02148i −0.147334 + 0.202788i
\(223\) −3.17693 + 9.77759i −0.212743 + 0.654756i 0.786563 + 0.617510i \(0.211858\pi\)
−0.999306 + 0.0372458i \(0.988142\pi\)
\(224\) −2.50422 0.853746i −0.167320 0.0570433i
\(225\) −1.19291 + 11.2166i −0.0795276 + 0.747773i
\(226\) −0.175452 0.241489i −0.0116709 0.0160636i
\(227\) −15.6561 + 5.08698i −1.03913 + 0.337635i −0.778395 0.627775i \(-0.783966\pi\)
−0.260738 + 0.965410i \(0.583966\pi\)
\(228\) 0.617008 1.89896i 0.0408624 0.125761i
\(229\) 12.8502 17.6868i 0.849164 1.16877i −0.134882 0.990862i \(-0.543066\pi\)
0.984046 0.177912i \(-0.0569344\pi\)
\(230\) −10.3762 + 4.61210i −0.684184 + 0.304113i
\(231\) −3.51770 + 6.70194i −0.231448 + 0.440955i
\(232\) 5.20102i 0.341464i
\(233\) 13.0617 + 9.48989i 0.855701 + 0.621703i 0.926712 0.375772i \(-0.122622\pi\)
−0.0710108 + 0.997476i \(0.522622\pi\)
\(234\) 5.99617 + 1.94827i 0.391982 + 0.127363i
\(235\) −12.5507 + 11.2867i −0.818720 + 0.736264i
\(236\) 5.68625 + 7.82645i 0.370143 + 0.509459i
\(237\) 6.45445 + 8.88378i 0.419261 + 0.577064i
\(238\) −2.73474 + 8.02158i −0.177267 + 0.519962i
\(239\) 19.1905 + 6.23538i 1.24133 + 0.403333i 0.854807 0.518946i \(-0.173675\pi\)
0.386525 + 0.922279i \(0.373675\pi\)
\(240\) 0.402178 1.88637i 0.0259605 0.121765i
\(241\) 6.44405 0.415098 0.207549 0.978225i \(-0.433451\pi\)
0.207549 + 0.978225i \(0.433451\pi\)
\(242\) −10.4771 3.35116i −0.673494 0.215421i
\(243\) −16.0656 −1.03061
\(244\) −6.40016 4.64999i −0.409728 0.297685i
\(245\) 5.94292 + 14.4804i 0.379679 + 0.925118i
\(246\) 0.467100 + 1.43759i 0.0297812 + 0.0916572i
\(247\) −3.80247 5.23366i −0.241946 0.333010i
\(248\) −2.37730 3.27208i −0.150959 0.207777i
\(249\) −6.98501 + 2.26957i −0.442657 + 0.143828i
\(250\) 6.58838 9.03290i 0.416686 0.571291i
\(251\) −1.93104 + 2.65784i −0.121886 + 0.167761i −0.865600 0.500737i \(-0.833063\pi\)
0.743714 + 0.668498i \(0.233063\pi\)
\(252\) 3.57753 4.77777i 0.225364 0.300971i
\(253\) 2.67285 + 16.6288i 0.168041 + 1.04544i
\(254\) −14.1487 −0.887766
\(255\) −6.04247 1.28827i −0.378394 0.0806743i
\(256\) 0.309017 0.951057i 0.0193136 0.0594410i
\(257\) −4.54048 13.9742i −0.283228 0.871685i −0.986924 0.161184i \(-0.948469\pi\)
0.703697 0.710500i \(-0.251531\pi\)
\(258\) −6.54606 + 4.75599i −0.407540 + 0.296095i
\(259\) 11.4544 + 0.165024i 0.711739 + 0.0102541i
\(260\) −4.17861 4.64658i −0.259146 0.288169i
\(261\) −11.1591 3.62581i −0.690730 0.224432i
\(262\) 5.64438 + 4.10088i 0.348711 + 0.253354i
\(263\) 10.4825 0.646379 0.323190 0.946334i \(-0.395245\pi\)
0.323190 + 0.946334i \(0.395245\pi\)
\(264\) −2.55199 1.29294i −0.157064 0.0795748i
\(265\) −3.74495 + 1.66459i −0.230050 + 0.102255i
\(266\) −5.85130 + 1.80844i −0.358766 + 0.110882i
\(267\) −8.28435 2.69175i −0.506994 0.164732i
\(268\) −7.25358 + 2.35683i −0.443083 + 0.143966i
\(269\) 15.9580 + 21.9643i 0.972977 + 1.33919i 0.940529 + 0.339714i \(0.110330\pi\)
0.0324481 + 0.999473i \(0.489670\pi\)
\(270\) 8.77624 + 5.07419i 0.534105 + 0.308805i
\(271\) 6.92573 + 21.3152i 0.420708 + 1.29481i 0.907045 + 0.421034i \(0.138333\pi\)
−0.486337 + 0.873771i \(0.661667\pi\)
\(272\) −3.04645 0.989851i −0.184718 0.0600185i
\(273\) 1.88329 + 6.09350i 0.113982 + 0.368796i
\(274\) 0.627081i 0.0378834i
\(275\) −10.4497 12.8764i −0.630143 0.776479i
\(276\) 4.38024i 0.263659i
\(277\) −9.21133 6.69242i −0.553455 0.402109i 0.275603 0.961272i \(-0.411123\pi\)
−0.829058 + 0.559163i \(0.811123\pi\)
\(278\) −1.58606 + 4.88139i −0.0951256 + 0.292766i
\(279\) 8.67772 2.81956i 0.519522 0.168803i
\(280\) −5.44015 + 2.32482i −0.325111 + 0.138935i
\(281\) 1.42917 + 1.96708i 0.0852569 + 0.117346i 0.849515 0.527564i \(-0.176895\pi\)
−0.764258 + 0.644910i \(0.776895\pi\)
\(282\) 2.01209 + 6.19257i 0.119818 + 0.368762i
\(283\) 18.0132 + 5.85283i 1.07077 + 0.347915i 0.790788 0.612090i \(-0.209671\pi\)
0.279983 + 0.960005i \(0.409671\pi\)
\(284\) −6.31238 4.58621i −0.374571 0.272142i
\(285\) −1.81345 4.07984i −0.107419 0.241669i
\(286\) −8.24901 + 4.22694i −0.487774 + 0.249944i
\(287\) 2.77897 3.71129i 0.164037 0.219070i
\(288\) 1.82512 + 1.32603i 0.107546 + 0.0781369i
\(289\) 2.08258 6.40951i 0.122504 0.377030i
\(290\) 7.77654 + 8.64745i 0.456654 + 0.507796i
\(291\) 1.77365 1.28863i 0.103973 0.0755410i
\(292\) 3.41817 + 4.70470i 0.200033 + 0.275322i
\(293\) −3.98532 + 1.29491i −0.232825 + 0.0756494i −0.423106 0.906080i \(-0.639060\pi\)
0.190281 + 0.981730i \(0.439060\pi\)
\(294\) 6.03549 + 0.173944i 0.351997 + 0.0101446i
\(295\) 21.1563 + 4.51056i 1.23177 + 0.262615i
\(296\) 4.32979i 0.251664i
\(297\) 10.6079 10.6567i 0.615535 0.618365i
\(298\) 0.812848i 0.0470870i
\(299\) 11.4814 + 8.34171i 0.663985 + 0.482413i
\(300\) −2.15182 3.73770i −0.124235 0.215796i
\(301\) 23.4909 + 8.00859i 1.35399 + 0.461608i
\(302\) −13.8854 19.1117i −0.799017 1.09975i
\(303\) 12.5890 9.14644i 0.723219 0.525450i
\(304\) −0.715313 2.20151i −0.0410260 0.126265i
\(305\) −17.5938 + 1.83821i −1.00742 + 0.105256i
\(306\) 4.24756 5.84627i 0.242817 0.334209i
\(307\) 19.9426i 1.13819i 0.822273 + 0.569093i \(0.192706\pi\)
−0.822273 + 0.569093i \(0.807294\pi\)
\(308\) 1.26763 + 8.68292i 0.0722300 + 0.494755i
\(309\) −12.8955 −0.733598
\(310\) −8.84501 1.88577i −0.502363 0.107105i
\(311\) −7.97133 2.59004i −0.452012 0.146868i 0.0741587 0.997246i \(-0.476373\pi\)
−0.526171 + 0.850379i \(0.676373\pi\)
\(312\) −2.29263 + 0.744922i −0.129795 + 0.0421729i
\(313\) 19.8340 14.4103i 1.12108 0.814516i 0.136712 0.990611i \(-0.456347\pi\)
0.984373 + 0.176095i \(0.0563466\pi\)
\(314\) −16.5701 + 12.0389i −0.935107 + 0.679395i
\(315\) −1.19553 13.2929i −0.0673604 0.748967i
\(316\) 12.1074 + 3.93394i 0.681096 + 0.221302i
\(317\) 8.43542 11.6104i 0.473780 0.652103i −0.503515 0.863987i \(-0.667960\pi\)
0.977295 + 0.211884i \(0.0679600\pi\)
\(318\) 1.58091i 0.0886529i
\(319\) 15.3517 7.86649i 0.859531 0.440439i
\(320\) −0.908230 2.04331i −0.0507716 0.114225i
\(321\) −8.39074 6.09623i −0.468325 0.340258i
\(322\) 10.9821 7.73975i 0.612010 0.431319i
\(323\) −7.05192 + 2.29131i −0.392379 + 0.127492i
\(324\) −2.31162 + 1.67949i −0.128423 + 0.0933050i
\(325\) −13.8951 1.47778i −0.770761 0.0819723i
\(326\) −16.8752 + 5.48308i −0.934631 + 0.303680i
\(327\) 7.66705 + 2.49118i 0.423989 + 0.137762i
\(328\) 1.41772 + 1.03003i 0.0782805 + 0.0568741i
\(329\) 11.9707 15.9868i 0.659966 0.881380i
\(330\) −6.17624 + 1.66602i −0.339991 + 0.0917114i
\(331\) −25.2062 −1.38546 −0.692728 0.721199i \(-0.743591\pi\)
−0.692728 + 0.721199i \(0.743591\pi\)
\(332\) −5.00477 + 6.88848i −0.274673 + 0.378054i
\(333\) −9.28981 3.01844i −0.509078 0.165410i
\(334\) 14.2600 4.63337i 0.780275 0.253527i
\(335\) −8.53621 + 14.7641i −0.466383 + 0.806649i
\(336\) −0.0328757 + 2.28191i −0.00179352 + 0.124488i
\(337\) 2.77031 + 8.52613i 0.150908 + 0.464448i 0.997723 0.0674396i \(-0.0214830\pi\)
−0.846815 + 0.531887i \(0.821483\pi\)
\(338\) 1.60371 4.93570i 0.0872302 0.268467i
\(339\) −0.151340 + 0.208301i −0.00821964 + 0.0113134i
\(340\) −6.54518 + 2.90926i −0.354962 + 0.157777i
\(341\) −6.06245 + 11.9660i −0.328300 + 0.647996i
\(342\) 5.22213 0.282380
\(343\) −10.2284 15.4395i −0.552283 0.833657i
\(344\) −2.89875 + 8.92142i −0.156290 + 0.481011i
\(345\) 6.54931 + 7.28278i 0.352603 + 0.392092i
\(346\) −6.12030 8.42387i −0.329029 0.452870i
\(347\) 3.50626 2.54745i 0.188226 0.136754i −0.489681 0.871901i \(-0.662887\pi\)
0.677908 + 0.735147i \(0.262887\pi\)
\(348\) 4.26668 1.38633i 0.228718 0.0743149i
\(349\) 5.73576 17.6529i 0.307028 0.944935i −0.671884 0.740656i \(-0.734515\pi\)
0.978913 0.204279i \(-0.0654851\pi\)
\(350\) −5.56897 + 11.9994i −0.297674 + 0.641397i
\(351\) 12.6701i 0.676282i
\(352\) −3.27459 + 0.526346i −0.174536 + 0.0280544i
\(353\) 10.9295 0.581719 0.290860 0.956766i \(-0.406059\pi\)
0.290860 + 0.956766i \(0.406059\pi\)
\(354\) 4.90479 6.75087i 0.260687 0.358805i
\(355\) −17.3525 + 1.81300i −0.920977 + 0.0962238i
\(356\) −9.60425 + 3.12061i −0.509024 + 0.165392i
\(357\) 7.30947 + 0.105308i 0.386858 + 0.00557351i
\(358\) −16.7030 + 12.1355i −0.882783 + 0.641380i
\(359\) −20.7589 + 6.74498i −1.09561 + 0.355986i −0.800413 0.599449i \(-0.795386\pi\)
−0.295200 + 0.955435i \(0.595386\pi\)
\(360\) 5.01720 0.524198i 0.264429 0.0276276i
\(361\) 11.0364 + 8.01839i 0.580861 + 0.422020i
\(362\) 15.6288i 0.821429i
\(363\) 0.0435247 + 9.48818i 0.00228445 + 0.498000i
\(364\) 5.91869 + 4.43184i 0.310224 + 0.232291i
\(365\) 12.7176 + 2.71142i 0.665672 + 0.141922i
\(366\) −2.10868 + 6.48985i −0.110222 + 0.339230i
\(367\) −5.68237 17.4885i −0.296617 0.912894i −0.982673 0.185345i \(-0.940660\pi\)
0.686056 0.727548i \(-0.259340\pi\)
\(368\) 2.98484 + 4.10828i 0.155596 + 0.214159i
\(369\) −3.19834 + 2.32373i −0.166499 + 0.120968i
\(370\) 6.47388 + 7.19891i 0.336561 + 0.374253i
\(371\) 3.96365 2.79342i 0.205782 0.145027i
\(372\) −2.05059 + 2.82240i −0.106318 + 0.146335i
\(373\) 33.4440 1.73167 0.865833 0.500334i \(-0.166789\pi\)
0.865833 + 0.500334i \(0.166789\pi\)
\(374\) 1.68601 + 10.4893i 0.0871813 + 0.542386i
\(375\) −9.16630 2.99709i −0.473346 0.154769i
\(376\) 6.10699 + 4.43699i 0.314944 + 0.228820i
\(377\) 4.49164 13.8238i 0.231331 0.711964i
\(378\) −11.3533 3.87058i −0.583948 0.199081i
\(379\) −24.7305 + 17.9678i −1.27032 + 0.922942i −0.999215 0.0396078i \(-0.987389\pi\)
−0.271105 + 0.962550i \(0.587389\pi\)
\(380\) −4.48100 2.59079i −0.229870 0.132905i
\(381\) 3.77131 + 11.6069i 0.193210 + 0.594640i
\(382\) 2.08165 6.40667i 0.106507 0.327794i
\(383\) −11.4421 8.31318i −0.584664 0.424783i 0.255738 0.966746i \(-0.417681\pi\)
−0.840403 + 0.541963i \(0.817681\pi\)
\(384\) −0.862571 −0.0440179
\(385\) 15.0903 + 12.5413i 0.769072 + 0.639162i
\(386\) −8.34549 −0.424774
\(387\) −17.1206 12.4388i −0.870289 0.632302i
\(388\) 0.785413 2.41725i 0.0398733 0.122717i
\(389\) 9.55492 + 29.4070i 0.484453 + 1.49099i 0.832771 + 0.553618i \(0.186753\pi\)
−0.348317 + 0.937377i \(0.613247\pi\)
\(390\) −2.69803 + 4.66648i −0.136620 + 0.236296i
\(391\) 13.1597 9.56112i 0.665517 0.483527i
\(392\) 5.77930 3.94964i 0.291899 0.199487i
\(393\) 1.85967 5.72348i 0.0938080 0.288711i
\(394\) −3.20194 2.32635i −0.161312 0.117200i
\(395\) 26.0124 11.5622i 1.30882 0.581758i
\(396\) 1.15352 7.39276i 0.0579667 0.371500i
\(397\) −2.38129 −0.119513 −0.0597566 0.998213i \(-0.519032\pi\)
−0.0597566 + 0.998213i \(0.519032\pi\)
\(398\) 1.63026 2.24386i 0.0817174 0.112474i
\(399\) 3.04322 + 4.31810i 0.152351 + 0.216175i
\(400\) −4.56521 2.03932i −0.228261 0.101966i
\(401\) −13.3127 + 9.67226i −0.664806 + 0.483010i −0.868282 0.496070i \(-0.834776\pi\)
0.203477 + 0.979080i \(0.434776\pi\)
\(402\) 3.86687 + 5.32229i 0.192862 + 0.265452i
\(403\) 3.49287 + 10.7499i 0.173992 + 0.535492i
\(404\) 5.57470 17.1571i 0.277351 0.853600i
\(405\) −1.33224 + 6.24872i −0.0661995 + 0.310502i
\(406\) −11.0149 8.24781i −0.546660 0.409332i
\(407\) 12.7801 6.54876i 0.633487 0.324610i
\(408\) 2.76301i 0.136789i
\(409\) 12.2745 + 8.91795i 0.606935 + 0.440964i 0.848334 0.529462i \(-0.177606\pi\)
−0.241399 + 0.970426i \(0.577606\pi\)
\(410\) 3.89727 0.407187i 0.192472 0.0201096i
\(411\) −0.514429 + 0.167148i −0.0253749 + 0.00824480i
\(412\) −12.0948 + 8.78742i −0.595870 + 0.432925i
\(413\) −25.5924 0.368713i −1.25932 0.0181432i
\(414\) −10.8954 + 3.54012i −0.535479 + 0.173988i
\(415\) 1.97846 + 18.9362i 0.0971187 + 0.929542i
\(416\) −1.64268 + 2.26095i −0.0805389 + 0.110852i
\(417\) 4.42723 0.216802
\(418\) −5.41623 + 5.44113i −0.264916 + 0.266134i
\(419\) 34.7341i 1.69687i 0.529297 + 0.848437i \(0.322456\pi\)
−0.529297 + 0.848437i \(0.677544\pi\)
\(420\) 3.35724 + 3.84317i 0.163817 + 0.187527i
\(421\) −7.57844 + 23.3241i −0.369351 + 1.13674i 0.577861 + 0.816135i \(0.303888\pi\)
−0.947212 + 0.320609i \(0.896112\pi\)
\(422\) −22.4140 + 7.28275i −1.09110 + 0.354519i
\(423\) −13.7772 + 10.0097i −0.669870 + 0.486689i
\(424\) 1.07728 + 1.48275i 0.0523175 + 0.0720089i
\(425\) −6.53240 + 14.6234i −0.316868 + 0.709339i
\(426\) −2.07976 + 6.40083i −0.100765 + 0.310121i
\(427\) 19.9973 6.18049i 0.967738 0.299095i
\(428\) −12.0240 −0.581200
\(429\) 5.66635 + 5.64042i 0.273574 + 0.272322i
\(430\) 8.51968 + 19.1674i 0.410856 + 0.924332i
\(431\) −16.5319 + 22.7542i −0.796315 + 1.09603i 0.196978 + 0.980408i \(0.436887\pi\)
−0.993293 + 0.115625i \(0.963113\pi\)
\(432\) 1.40097 4.31176i 0.0674044 0.207449i
\(433\) 8.77864 + 27.0179i 0.421874 + 1.29840i 0.905956 + 0.423373i \(0.139154\pi\)
−0.484081 + 0.875023i \(0.660846\pi\)
\(434\) 10.6997 + 0.154151i 0.513600 + 0.00739949i
\(435\) 5.02114 8.68449i 0.240745 0.416389i
\(436\) 8.88861 2.88808i 0.425687 0.138314i
\(437\) 11.1795 + 3.63244i 0.534789 + 0.173763i
\(438\) 2.94841 4.05814i 0.140881 0.193905i
\(439\) −33.4903 −1.59841 −0.799204 0.601060i \(-0.794745\pi\)
−0.799204 + 0.601060i \(0.794745\pi\)
\(440\) −4.65750 + 5.77128i −0.222037 + 0.275135i
\(441\) 4.44524 + 15.1532i 0.211678 + 0.721583i
\(442\) 7.24234 + 5.26187i 0.344483 + 0.250281i
\(443\) −10.4747 3.40344i −0.497668 0.161702i 0.0494185 0.998778i \(-0.484263\pi\)
−0.547087 + 0.837076i \(0.684263\pi\)
\(444\) 3.55196 1.15410i 0.168569 0.0547712i
\(445\) −11.3025 + 19.5487i −0.535792 + 0.926698i
\(446\) 8.31731 6.04288i 0.393836 0.286139i
\(447\) 0.666823 0.216664i 0.0315397 0.0102479i
\(448\) 1.52414 + 2.16264i 0.0720087 + 0.102175i
\(449\) −9.61952 6.98899i −0.453973 0.329831i 0.337189 0.941437i \(-0.390524\pi\)
−0.791162 + 0.611606i \(0.790524\pi\)
\(450\) 7.55804 8.37324i 0.356289 0.394718i
\(451\) 0.896036 5.74256i 0.0421927 0.270407i
\(452\) 0.298496i 0.0140401i
\(453\) −11.9772 + 16.4852i −0.562737 + 0.774540i
\(454\) 15.6561 + 5.08698i 0.734778 + 0.238744i
\(455\) 16.4671 1.48102i 0.771992 0.0694312i
\(456\) −1.61535 + 1.17362i −0.0756456 + 0.0549598i
\(457\) −21.9291 + 15.9324i −1.02580 + 0.745286i −0.967463 0.253011i \(-0.918579\pi\)
−0.0583347 + 0.998297i \(0.518579\pi\)
\(458\) −20.7920 + 6.75574i −0.971548 + 0.315675i
\(459\) −13.8115 4.48763i −0.644667 0.209465i
\(460\) 11.1054 + 2.36770i 0.517793 + 0.110394i
\(461\) −8.89628 −0.414341 −0.207170 0.978305i \(-0.566425\pi\)
−0.207170 + 0.978305i \(0.566425\pi\)
\(462\) 6.78518 3.35433i 0.315675 0.156058i
\(463\) 16.3872i 0.761576i −0.924662 0.380788i \(-0.875653\pi\)
0.924662 0.380788i \(-0.124347\pi\)
\(464\) 3.05708 4.20771i 0.141922 0.195338i
\(465\) 0.810629 + 7.75869i 0.0375920 + 0.359800i
\(466\) −4.98913 15.3550i −0.231117 0.711305i
\(467\) 1.83858 1.33581i 0.0850792 0.0618137i −0.544432 0.838805i \(-0.683255\pi\)
0.629512 + 0.776991i \(0.283255\pi\)
\(468\) −3.70583 5.10064i −0.171302 0.235777i
\(469\) 6.51140 19.0994i 0.300669 0.881926i
\(470\) 16.7879 1.75401i 0.774369 0.0809062i
\(471\) 14.2929 + 10.3844i 0.658583 + 0.478489i
\(472\) 9.67403i 0.445283i
\(473\) 30.7174 4.93741i 1.41239 0.227022i
\(474\) 10.9810i 0.504372i
\(475\) −11.3241 + 2.39239i −0.519583 + 0.109771i
\(476\) 6.92742 4.88215i 0.317518 0.223773i
\(477\) −3.93234 + 1.27770i −0.180050 + 0.0585017i
\(478\) −11.8604 16.3244i −0.542482 0.746662i
\(479\) −18.1327 + 13.1742i −0.828504 + 0.601943i −0.919136 0.393941i \(-0.871111\pi\)
0.0906319 + 0.995884i \(0.471111\pi\)
\(480\) −1.43415 + 1.28971i −0.0654597 + 0.0588670i
\(481\) 3.73924 11.5082i 0.170494 0.524728i
\(482\) −5.21335 3.78772i −0.237461 0.172526i
\(483\) −9.27661 6.94621i −0.422100 0.316063i
\(484\) 6.50639 + 8.86943i 0.295745 + 0.403156i
\(485\) −2.30840 5.19338i −0.104819 0.235819i
\(486\) 12.9973 + 9.44311i 0.589571 + 0.428348i
\(487\) −17.9940 5.84661i −0.815387 0.264935i −0.128509 0.991708i \(-0.541019\pi\)
−0.686878 + 0.726773i \(0.741019\pi\)
\(488\) 2.44464 + 7.52384i 0.110664 + 0.340588i
\(489\) 8.99614 + 12.3821i 0.406819 + 0.559939i
\(490\) 3.70344 15.2080i 0.167304 0.687029i
\(491\) 7.55842 2.45588i 0.341107 0.110832i −0.133454 0.991055i \(-0.542607\pi\)
0.474561 + 0.880223i \(0.342607\pi\)
\(492\) 0.467100 1.43759i 0.0210585 0.0648114i
\(493\) −13.4783 9.79252i −0.607030 0.441033i
\(494\) 6.46915i 0.291061i
\(495\) −9.13572 14.0163i −0.410620 0.629985i
\(496\) 4.04451i 0.181604i
\(497\) 19.7230 6.09572i 0.884699 0.273430i
\(498\) 6.98501 + 2.26957i 0.313006 + 0.101702i
\(499\) −0.395005 1.21570i −0.0176828 0.0544222i 0.941826 0.336102i \(-0.109109\pi\)
−0.959509 + 0.281679i \(0.909109\pi\)
\(500\) −10.6395 + 3.43522i −0.475814 + 0.153628i
\(501\) −7.60200 10.4633i −0.339633 0.467464i
\(502\) 3.12448 1.01521i 0.139452 0.0453108i
\(503\) 8.05349 + 2.61674i 0.359087 + 0.116675i 0.483004 0.875618i \(-0.339546\pi\)
−0.123917 + 0.992293i \(0.539546\pi\)
\(504\) −5.70259 + 1.76248i −0.254014 + 0.0785069i
\(505\) −16.3845 36.8615i −0.729103 1.64032i
\(506\) 7.61176 15.0240i 0.338384 0.667899i
\(507\) −4.47649 −0.198808
\(508\) 11.4465 + 8.31638i 0.507857 + 0.368980i
\(509\) −38.8422 12.6206i −1.72165 0.559398i −0.729448 0.684036i \(-0.760223\pi\)
−0.992202 + 0.124638i \(0.960223\pi\)
\(510\) 4.13124 + 4.59390i 0.182934 + 0.203421i
\(511\) −15.3843 0.221644i −0.680562 0.00980494i
\(512\) −0.809017 + 0.587785i −0.0357538 + 0.0259767i
\(513\) −3.24298 9.98086i −0.143181 0.440666i
\(514\) −4.54048 + 13.9742i −0.200272 + 0.616374i
\(515\) −6.97053 + 32.6945i −0.307158 + 1.44069i
\(516\) 8.09138 0.356203
\(517\) 3.85977 24.7367i 0.169753 1.08792i
\(518\) −9.16977 6.86621i −0.402897 0.301684i
\(519\) −5.27919 + 7.26618i −0.231731 + 0.318950i
\(520\) 0.649374 + 6.21529i 0.0284770 + 0.272558i
\(521\) 30.9309 10.0501i 1.35511 0.440302i 0.460702 0.887555i \(-0.347598\pi\)
0.894407 + 0.447253i \(0.147598\pi\)
\(522\) 6.89669 + 9.49248i 0.301860 + 0.415475i
\(523\) −2.72093 3.74504i −0.118978 0.163759i 0.745374 0.666647i \(-0.232271\pi\)
−0.864352 + 0.502887i \(0.832271\pi\)
\(524\) −2.15596 6.63537i −0.0941837 0.289868i
\(525\) 11.3282 + 1.37009i 0.494403 + 0.0597955i
\(526\) −8.48053 6.16146i −0.369769 0.268653i
\(527\) 12.9555 0.564349
\(528\) 1.30463 + 2.54603i 0.0567767 + 0.110802i
\(529\) −2.78727 −0.121185
\(530\) 4.00815 + 0.854544i 0.174103 + 0.0371190i
\(531\) 20.7562 + 6.74409i 0.900741 + 0.292668i
\(532\) 5.79677 + 1.97625i 0.251322 + 0.0856814i
\(533\) −2.87863 3.96209i −0.124687 0.171617i
\(534\) 5.12001 + 7.04709i 0.221565 + 0.304957i
\(535\) −19.9916 + 17.9782i −0.864312 + 0.777264i
\(536\) 7.25358 + 2.35683i 0.313307 + 0.101800i
\(537\) 14.4076 + 10.4677i 0.621732 + 0.451715i
\(538\) 27.1494i 1.17049i
\(539\) −20.3992 11.0848i −0.878655 0.477456i
\(540\) −4.11759 9.26365i −0.177193 0.398644i
\(541\) 11.5465 15.8925i 0.496425 0.683270i −0.485132 0.874441i \(-0.661228\pi\)
0.981557 + 0.191171i \(0.0612285\pi\)
\(542\) 6.92573 21.3152i 0.297485 0.915566i
\(543\) 12.8211 4.16583i 0.550207 0.178773i
\(544\) 1.88281 + 2.59146i 0.0807247 + 0.111108i
\(545\) 10.4604 18.0921i 0.448072 0.774979i
\(546\) 2.05805 6.03672i 0.0880766 0.258348i
\(547\) −6.81461 + 20.9732i −0.291372 + 0.896750i 0.693044 + 0.720895i \(0.256269\pi\)
−0.984416 + 0.175855i \(0.943731\pi\)
\(548\) −0.368589 + 0.507319i −0.0157453 + 0.0216716i
\(549\) −17.8471 −0.761694
\(550\) 0.885433 + 16.5595i 0.0377550 + 0.706098i
\(551\) 12.0393i 0.512893i
\(552\) 2.57464 3.54369i 0.109584 0.150829i
\(553\) −27.5315 + 19.4030i −1.17076 + 0.825101i
\(554\) 3.51842 + 10.8286i 0.149483 + 0.460062i
\(555\) 4.18004 7.22974i 0.177433 0.306885i
\(556\) 4.15236 3.01687i 0.176099 0.127944i
\(557\) −9.82568 30.2403i −0.416328 1.28132i −0.911058 0.412278i \(-0.864733\pi\)
0.494730 0.869046i \(-0.335267\pi\)
\(558\) −8.67772 2.81956i −0.367357 0.119362i
\(559\) 15.4092 21.2089i 0.651740 0.897043i
\(560\) 5.76767 + 1.31682i 0.243728 + 0.0556457i
\(561\) 8.15550 4.17902i 0.344325 0.176438i
\(562\) 2.43144i 0.102564i
\(563\) 4.85082 6.67658i 0.204438 0.281384i −0.694471 0.719521i \(-0.744361\pi\)
0.898908 + 0.438137i \(0.144361\pi\)
\(564\) 2.01209 6.19257i 0.0847241 0.260754i
\(565\) 0.446311 + 0.496294i 0.0187764 + 0.0208792i
\(566\) −11.1327 15.3229i −0.467944 0.644070i
\(567\) 0.108903 7.55898i 0.00457350 0.317447i
\(568\) 2.41111 + 7.42065i 0.101168 + 0.311363i
\(569\) 24.8820 + 8.08464i 1.04311 + 0.338926i 0.779959 0.625830i \(-0.215240\pi\)
0.263147 + 0.964756i \(0.415240\pi\)
\(570\) −0.930962 + 4.36658i −0.0389937 + 0.182896i
\(571\) 4.20124i 0.175816i 0.996129 + 0.0879082i \(0.0280182\pi\)
−0.996129 + 0.0879082i \(0.971982\pi\)
\(572\) 9.15812 + 1.42898i 0.382920 + 0.0597487i
\(573\) −5.81060 −0.242741
\(574\) −4.42967 + 1.36906i −0.184891 + 0.0571434i
\(575\) 22.0045 12.6681i 0.917653 0.528298i
\(576\) −0.697133 2.14556i −0.0290472 0.0893982i
\(577\) −9.87724 + 7.17623i −0.411195 + 0.298750i −0.774085 0.633081i \(-0.781790\pi\)
0.362891 + 0.931832i \(0.381790\pi\)
\(578\) −5.45225 + 3.96129i −0.226784 + 0.164768i
\(579\) 2.22448 + 6.84625i 0.0924463 + 0.284520i
\(580\) −1.20851 11.5669i −0.0501806 0.480288i
\(581\) −6.65204 21.5231i −0.275973 0.892927i
\(582\) −2.19235 −0.0908760
\(583\) 2.74722 5.42244i 0.113778 0.224575i
\(584\) 5.81533i 0.240640i
\(585\) −13.7879 2.93961i −0.570061 0.121538i
\(586\) 3.98532 + 1.29491i 0.164632 + 0.0534922i
\(587\) −3.64820 11.2280i −0.150577 0.463430i 0.847109 0.531420i \(-0.178341\pi\)
−0.997686 + 0.0679902i \(0.978341\pi\)
\(588\) −4.78057 3.68830i −0.197148 0.152103i
\(589\) 5.50299 + 7.57421i 0.226747 + 0.312090i
\(590\) −14.4646 16.0845i −0.595497 0.662187i
\(591\) −1.05495 + 3.24681i −0.0433950 + 0.133556i
\(592\) 2.54499 3.50287i 0.104598 0.143967i
\(593\) 13.8550i 0.568958i 0.958682 + 0.284479i \(0.0918206\pi\)
−0.958682 + 0.284479i \(0.908179\pi\)
\(594\) −14.8459 + 2.38627i −0.609133 + 0.0979098i
\(595\) 4.21806 18.4751i 0.172924 0.757407i
\(596\) 0.477780 0.657608i 0.0195706 0.0269367i
\(597\) −2.27530 0.739290i −0.0931219 0.0302571i
\(598\) −4.38550 13.4972i −0.179336 0.551940i
\(599\) 7.50680 5.45401i 0.306720 0.222845i −0.423768 0.905771i \(-0.639293\pi\)
0.730488 + 0.682926i \(0.239293\pi\)
\(600\) −0.456111 + 4.28867i −0.0186206 + 0.175084i
\(601\) −1.98279 6.10239i −0.0808795 0.248922i 0.902438 0.430820i \(-0.141776\pi\)
−0.983317 + 0.181899i \(0.941776\pi\)
\(602\) −14.2972 20.2867i −0.582712 0.826825i
\(603\) −10.1134 + 13.9199i −0.411851 + 0.566864i
\(604\) 23.6233i 0.961219i
\(605\) 24.0794 + 5.01840i 0.978965 + 0.204027i
\(606\) −15.5609 −0.632117
\(607\) 10.4609 14.3982i 0.424594 0.584403i −0.542108 0.840309i \(-0.682374\pi\)
0.966702 + 0.255906i \(0.0823736\pi\)
\(608\) −0.715313 + 2.20151i −0.0290098 + 0.0892829i
\(609\) −3.83012 + 11.2346i −0.155204 + 0.455247i
\(610\) 15.3142 + 8.85426i 0.620054 + 0.358499i
\(611\) −12.4000 17.0671i −0.501650 0.690463i
\(612\) −6.87270 + 2.23307i −0.277812 + 0.0902667i
\(613\) −0.942644 + 2.90116i −0.0380731 + 0.117177i −0.968287 0.249842i \(-0.919621\pi\)
0.930214 + 0.367018i \(0.119621\pi\)
\(614\) 11.7220 16.1339i 0.473061 0.651112i
\(615\) −1.37285 3.08860i −0.0553587 0.124544i
\(616\) 4.07816 7.76972i 0.164314 0.313051i
\(617\) 26.7836i 1.07827i −0.842220 0.539133i \(-0.818752\pi\)
0.842220 0.539133i \(-0.181248\pi\)
\(618\) 10.4327 + 7.57977i 0.419663 + 0.304903i
\(619\) −14.4491 4.69479i −0.580758 0.188700i 0.00388225 0.999992i \(-0.498764\pi\)
−0.584640 + 0.811293i \(0.698764\pi\)
\(620\) 6.04733 + 6.72459i 0.242867 + 0.270066i
\(621\) 13.5322 + 18.6255i 0.543029 + 0.747416i
\(622\) 4.92655 + 6.78081i 0.197537 + 0.271886i
\(623\) 8.62156 25.2889i 0.345415 1.01318i
\(624\) 2.29263 + 0.744922i 0.0917788 + 0.0298208i
\(625\) −12.5534 + 21.6197i −0.502137 + 0.864788i
\(626\) −24.5162 −0.979864
\(627\) 5.90734 + 2.99289i 0.235916 + 0.119525i
\(628\) 20.4818 0.817314
\(629\) −11.2205 8.15216i −0.447390 0.325048i
\(630\) −6.84614 + 11.4569i −0.272757 + 0.456452i
\(631\) −2.21702 6.82330i −0.0882583 0.271631i 0.897180 0.441665i \(-0.145612\pi\)
−0.985438 + 0.170034i \(0.945612\pi\)
\(632\) −7.48280 10.2992i −0.297650 0.409680i
\(633\) 11.9489 + 16.4462i 0.474925 + 0.653678i
\(634\) −13.6488 + 4.43476i −0.542063 + 0.176127i
\(635\) 31.4661 3.28758i 1.24869 0.130464i
\(636\) 0.929234 1.27898i 0.0368465 0.0507149i
\(637\) −18.7718 + 5.50675i −0.743765 + 0.218185i
\(638\) −17.0436 2.65938i −0.674763 0.105286i
\(639\) −17.6023 −0.696335
\(640\) −0.466255 + 2.18692i −0.0184303 + 0.0864455i
\(641\) −2.27829 + 7.01185i −0.0899869 + 0.276951i −0.985915 0.167248i \(-0.946512\pi\)
0.895928 + 0.444200i \(0.146512\pi\)
\(642\) 3.20498 + 9.86390i 0.126490 + 0.389297i
\(643\) −11.2162 + 8.14903i −0.442323 + 0.321366i −0.786557 0.617517i \(-0.788139\pi\)
0.344234 + 0.938884i \(0.388139\pi\)
\(644\) −13.4340 0.193546i −0.529375 0.00762677i
\(645\) 13.4531 12.0982i 0.529715 0.476366i
\(646\) 7.05192 + 2.29131i 0.277454 + 0.0901503i
\(647\) 1.70773 + 1.24074i 0.0671377 + 0.0487784i 0.620848 0.783931i \(-0.286788\pi\)
−0.553710 + 0.832709i \(0.686788\pi\)
\(648\) 2.85732 0.112246
\(649\) −28.5546 + 14.6319i −1.12086 + 0.574351i
\(650\) 10.3727 + 9.36288i 0.406853 + 0.367242i
\(651\) −2.72553 8.81859i −0.106822 0.345628i
\(652\) 16.8752 + 5.48308i 0.660884 + 0.214734i
\(653\) 44.7435 14.5381i 1.75095 0.568918i 0.754749 0.656013i \(-0.227759\pi\)
0.996200 + 0.0870955i \(0.0277585\pi\)
\(654\) −4.73850 6.52199i −0.185290 0.255030i
\(655\) −13.5058 7.80868i −0.527714 0.305111i
\(656\) −0.541521 1.66663i −0.0211428 0.0650710i
\(657\) 12.4771 + 4.05406i 0.486779 + 0.158164i
\(658\) −19.0813 + 5.89738i −0.743867 + 0.229904i
\(659\) 4.07489i 0.158735i 0.996845 + 0.0793676i \(0.0252901\pi\)
−0.996845 + 0.0793676i \(0.974710\pi\)
\(660\) 5.97595 + 2.28246i 0.232613 + 0.0888448i
\(661\) 21.7937i 0.847677i 0.905738 + 0.423838i \(0.139318\pi\)
−0.905738 + 0.423838i \(0.860682\pi\)
\(662\) 20.3922 + 14.8158i 0.792566 + 0.575833i
\(663\) 2.38615 7.34382i 0.0926705 0.285210i
\(664\) 8.09789 2.63116i 0.314259 0.102109i
\(665\) 12.5929 5.38150i 0.488330 0.208686i
\(666\) 5.74142 + 7.90238i 0.222475 + 0.306211i
\(667\) 8.16157 + 25.1187i 0.316017 + 0.972601i
\(668\) −14.2600 4.63337i −0.551738 0.179270i
\(669\) −7.17427 5.21241i −0.277373 0.201524i
\(670\) 15.5841 6.92695i 0.602065 0.267611i
\(671\) 18.5104 18.5955i 0.714587 0.717872i
\(672\) 1.36787 1.82678i 0.0527668 0.0704696i
\(673\) 5.73674 + 4.16799i 0.221135 + 0.160664i 0.692838 0.721094i \(-0.256360\pi\)
−0.471702 + 0.881758i \(0.656360\pi\)
\(674\) 2.77031 8.52613i 0.106708 0.328414i
\(675\) −20.6971 9.24556i −0.796631 0.355862i
\(676\) −4.19856 + 3.05043i −0.161483 + 0.117324i
\(677\) −22.7593 31.3255i −0.874712 1.20394i −0.977858 0.209271i \(-0.932891\pi\)
0.103146 0.994666i \(-0.467109\pi\)
\(678\) 0.244873 0.0795639i 0.00940428 0.00305564i
\(679\) 3.87382 + 5.49667i 0.148664 + 0.210943i
\(680\) 7.00519 + 1.49352i 0.268637 + 0.0572738i
\(681\) 14.1995i 0.544125i
\(682\) 11.9381 6.11728i 0.457132 0.234243i
\(683\) 6.28478i 0.240480i 0.992745 + 0.120240i \(0.0383665\pi\)
−0.992745 + 0.120240i \(0.961634\pi\)
\(684\) −4.22479 3.06949i −0.161539 0.117365i
\(685\) 0.145709 + 1.39461i 0.00556724 + 0.0532851i
\(686\) −0.800166 + 18.5030i −0.0305505 + 0.706447i
\(687\) 11.0842 + 15.2561i 0.422888 + 0.582056i
\(688\) 7.58901 5.51374i 0.289328 0.210209i
\(689\) −1.58281 4.87137i −0.0603001 0.185585i
\(690\) −1.01779 9.74148i −0.0387467 0.370852i
\(691\) −10.7047 + 14.7338i −0.407226 + 0.560499i −0.962539 0.271143i \(-0.912599\pi\)
0.555313 + 0.831642i \(0.312599\pi\)
\(692\) 10.4125i 0.395823i
\(693\) 13.8274 + 14.1665i 0.525258 + 0.538139i
\(694\) −4.33398 −0.164516
\(695\) 2.39310 11.2246i 0.0907754 0.425772i
\(696\) −4.26668 1.38633i −0.161728 0.0525486i
\(697\) −5.33859 + 1.73461i −0.202213 + 0.0657031i
\(698\) −15.0164 + 10.9101i −0.568380 + 0.412952i
\(699\) −11.2667 + 8.18570i −0.426144 + 0.309612i
\(700\) 11.5585 6.43439i 0.436870 0.243197i
\(701\) 21.0859 + 6.85122i 0.796403 + 0.258767i 0.678828 0.734297i \(-0.262488\pi\)
0.117574 + 0.993064i \(0.462488\pi\)
\(702\) −7.44732 + 10.2504i −0.281081 + 0.386875i
\(703\) 10.0226i 0.378010i
\(704\) 2.95858 + 1.49893i 0.111506 + 0.0564932i
\(705\) −5.91371 13.3045i −0.222723 0.501077i
\(706\) −8.84216 6.42420i −0.332779 0.241778i
\(707\) 27.4956 + 39.0142i 1.03408 + 1.46728i
\(708\) −7.93612 + 2.57860i −0.298258 + 0.0969098i
\(709\) 20.7210 15.0547i 0.778195 0.565392i −0.126242 0.992000i \(-0.540291\pi\)
0.904437 + 0.426608i \(0.140291\pi\)
\(710\) 15.1041 + 8.73282i 0.566848 + 0.327737i
\(711\) 27.3140 8.87486i 1.02436 0.332833i
\(712\) 9.60425 + 3.12061i 0.359935 + 0.116950i
\(713\) −16.6160 12.0722i −0.622274 0.452108i
\(714\) −5.85159 4.38160i −0.218990 0.163977i
\(715\) 17.3633 11.3173i 0.649351 0.423243i
\(716\) 20.6461 0.771581
\(717\) −10.2304 + 14.0810i −0.382063 + 0.525864i
\(718\) 20.7589 + 6.74498i 0.774715 + 0.251720i
\(719\) −7.34449 + 2.38637i −0.273903 + 0.0889966i −0.442748 0.896646i \(-0.645996\pi\)
0.168845 + 0.985643i \(0.445996\pi\)
\(720\) −4.36711 2.52495i −0.162753 0.0940993i
\(721\) 0.569801 39.5500i 0.0212205 1.47292i
\(722\) −4.21551 12.9740i −0.156885 0.482843i
\(723\) −1.71766 + 5.28640i −0.0638803 + 0.196603i
\(724\) 9.18635 12.6439i 0.341408 0.469908i
\(725\) −19.3041 17.4247i −0.716935 0.647135i
\(726\) 5.54180 7.70168i 0.205676 0.285836i
\(727\) −44.9203 −1.66600 −0.833001 0.553272i \(-0.813379\pi\)
−0.833001 + 0.553272i \(0.813379\pi\)
\(728\) −2.18335 7.06435i −0.0809203 0.261822i
\(729\) 1.63339 5.02704i 0.0604958 0.186187i
\(730\) −8.69506 9.66883i −0.321819 0.357860i
\(731\) −17.6618 24.3093i −0.653243 0.899113i
\(732\) 5.52059 4.01095i 0.204047 0.148249i
\(733\) 48.4375 15.7383i 1.78908 0.581308i 0.789603 0.613618i \(-0.210287\pi\)
0.999478 + 0.0323109i \(0.0102867\pi\)
\(734\) −5.68237 + 17.4885i −0.209740 + 0.645513i
\(735\) −13.4631 + 1.01556i −0.496595 + 0.0374596i
\(736\) 5.07812i 0.187182i
\(737\) −4.01437 24.9749i −0.147871 0.919962i
\(738\) 3.95336 0.145525
\(739\) 21.5089 29.6045i 0.791219 1.08902i −0.202736 0.979233i \(-0.564983\pi\)
0.993955 0.109786i \(-0.0350165\pi\)
\(740\) −1.00607 9.62929i −0.0369839 0.353980i
\(741\) 5.30700 1.72435i 0.194957 0.0633455i
\(742\) −4.84859 0.0698542i −0.177997 0.00256443i
\(743\) −14.0197 + 10.1859i −0.514332 + 0.373684i −0.814464 0.580214i \(-0.802969\pi\)
0.300133 + 0.953897i \(0.402969\pi\)
\(744\) 3.31793 1.07806i 0.121641 0.0395236i
\(745\) −0.188874 1.80774i −0.00691979 0.0662306i
\(746\) −27.0568 19.6579i −0.990619 0.719727i
\(747\) 19.2088i 0.702811i
\(748\) 4.80142 9.47700i 0.175557 0.346513i
\(749\) 19.0677 25.4647i 0.696718 0.930461i
\(750\) 5.65405 + 7.81251i 0.206457 + 0.285273i
\(751\) 7.90135 24.3179i 0.288324 0.887371i −0.697058 0.717015i \(-0.745508\pi\)
0.985382 0.170357i \(-0.0544919\pi\)
\(752\) −2.33266 7.17920i −0.0850634 0.261798i
\(753\) −1.66565 2.29258i −0.0606998 0.0835462i
\(754\) −11.7593 + 8.54360i −0.428247 + 0.311140i
\(755\) 35.3215 + 39.2772i 1.28548 + 1.42944i
\(756\) 6.90990 + 9.80464i 0.251311 + 0.356591i
\(757\) −18.8993 + 26.0126i −0.686905 + 0.945444i −0.999991 0.00428091i \(-0.998637\pi\)
0.313086 + 0.949725i \(0.398637\pi\)
\(758\) 30.5686 1.11030
\(759\) −14.3539 2.23970i −0.521014 0.0812960i
\(760\) 2.10237 + 4.72986i 0.0762610 + 0.171570i
\(761\) −3.30634 2.40220i −0.119855 0.0870795i 0.526243 0.850334i \(-0.323600\pi\)
−0.646098 + 0.763255i \(0.723600\pi\)
\(762\) 3.77131 11.6069i 0.136620 0.420474i
\(763\) −7.97913 + 23.4045i −0.288864 + 0.847301i
\(764\) −5.44984 + 3.95954i −0.197168 + 0.143251i
\(765\) −8.08798 + 13.9888i −0.292421 + 0.505768i
\(766\) 4.37049 + 13.4510i 0.157912 + 0.486004i
\(767\) −8.35455 + 25.7127i −0.301665 + 0.928431i
\(768\) 0.697835 + 0.507006i 0.0251809 + 0.0182950i
\(769\) −43.4712 −1.56761 −0.783805 0.621007i \(-0.786724\pi\)
−0.783805 + 0.621007i \(0.786724\pi\)
\(770\) −4.83673 19.0159i −0.174304 0.685287i
\(771\) 12.6740 0.456444
\(772\) 6.75164 + 4.90535i 0.242997 + 0.176548i
\(773\) −8.69833 + 26.7707i −0.312857 + 0.962876i 0.663770 + 0.747937i \(0.268955\pi\)
−0.976627