Properties

Label 770.2.o.a.549.22
Level $770$
Weight $2$
Character 770.549
Analytic conductor $6.148$
Analytic rank $0$
Dimension $48$
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.o (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(24\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 549.22
Character \(\chi\) \(=\) 770.549
Dual form 770.2.o.a.439.22

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 - 0.866025i) q^{2} +(1.44024 - 2.49457i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-1.57377 + 1.58848i) q^{5} -2.88048 q^{6} +(-0.391243 + 2.61666i) q^{7} +1.00000 q^{8} +(-2.64857 - 4.58746i) q^{9} +O(q^{10})\) \(q+(-0.500000 - 0.866025i) q^{2} +(1.44024 - 2.49457i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-1.57377 + 1.58848i) q^{5} -2.88048 q^{6} +(-0.391243 + 2.61666i) q^{7} +1.00000 q^{8} +(-2.64857 - 4.58746i) q^{9} +(2.16254 + 0.568686i) q^{10} +(0.914142 + 3.18816i) q^{11} +(1.44024 + 2.49457i) q^{12} +6.76312i q^{13} +(2.46172 - 0.969505i) q^{14} +(1.69596 + 6.21365i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(1.33823 + 0.772629i) q^{17} +(-2.64857 + 4.58746i) q^{18} +(-0.445529 - 0.771679i) q^{19} +(-0.588776 - 2.15716i) q^{20} +(5.96396 + 4.74460i) q^{21} +(2.30395 - 2.38575i) q^{22} +(6.17407 - 3.56460i) q^{23} +(1.44024 - 2.49457i) q^{24} +(-0.0465074 - 4.99978i) q^{25} +(5.85703 - 3.38156i) q^{26} -6.61688 q^{27} +(-2.07048 - 1.64716i) q^{28} +2.79982i q^{29} +(4.53320 - 4.57557i) q^{30} +(0.849237 + 0.490307i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(9.26965 + 2.31132i) q^{33} -1.54526i q^{34} +(-3.54078 - 4.73950i) q^{35} +5.29715 q^{36} +(-8.14224 + 4.70093i) q^{37} +(-0.445529 + 0.771679i) q^{38} +(16.8710 + 9.74050i) q^{39} +(-1.57377 + 1.58848i) q^{40} -8.03479 q^{41} +(1.12697 - 7.53724i) q^{42} +0.302038 q^{43} +(-3.21810 - 0.802409i) q^{44} +(11.4553 + 3.01241i) q^{45} +(-6.17407 - 3.56460i) q^{46} +(5.24754 + 9.08901i) q^{47} -2.88048 q^{48} +(-6.69386 - 2.04750i) q^{49} +(-4.30669 + 2.54017i) q^{50} +(3.85475 - 2.22554i) q^{51} +(-5.85703 - 3.38156i) q^{52} +(4.89115 + 2.82391i) q^{53} +(3.30844 + 5.73039i) q^{54} +(-6.50296 - 3.56533i) q^{55} +(-0.391243 + 2.61666i) q^{56} -2.56667 q^{57} +(2.42472 - 1.39991i) q^{58} +(3.61218 + 2.08549i) q^{59} +(-6.22916 - 1.63809i) q^{60} +(-0.226973 - 0.393129i) q^{61} -0.980614i q^{62} +(13.0401 - 5.13561i) q^{63} +1.00000 q^{64} +(-10.7430 - 10.6436i) q^{65} +(-2.63316 - 9.18341i) q^{66} +(-8.39321 - 4.84582i) q^{67} +(-1.33823 + 0.772629i) q^{68} -20.5355i q^{69} +(-2.33414 + 5.43616i) q^{70} -4.72658 q^{71} +(-2.64857 - 4.58746i) q^{72} +(2.80161 + 1.61751i) q^{73} +(8.14224 + 4.70093i) q^{74} +(-12.5393 - 7.08487i) q^{75} +0.891058 q^{76} +(-8.69999 + 1.14466i) q^{77} -19.4810i q^{78} +(7.09357 - 4.09547i) q^{79} +(2.16254 + 0.568686i) q^{80} +(-1.58417 + 2.74386i) q^{81} +(4.01739 + 6.95833i) q^{82} +4.01538i q^{83} +(-7.09092 + 2.79264i) q^{84} +(-3.33337 + 0.909810i) q^{85} +(-0.151019 - 0.261573i) q^{86} +(6.98434 + 4.03241i) q^{87} +(0.914142 + 3.18816i) q^{88} +(6.83580 - 3.94665i) q^{89} +(-3.11883 - 11.4268i) q^{90} +(-17.6968 - 2.64602i) q^{91} +7.12921i q^{92} +(2.44621 - 1.41232i) q^{93} +(5.24754 - 9.08901i) q^{94} +(1.92695 + 0.506732i) q^{95} +(1.44024 + 2.49457i) q^{96} +19.1494 q^{97} +(1.57374 + 6.82080i) q^{98} +(12.2044 - 12.6377i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q - 24 q^{2} - 24 q^{4} - 6 q^{5} - 4 q^{7} + 48 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 48 q - 24 q^{2} - 24 q^{4} - 6 q^{5} - 4 q^{7} + 48 q^{8} - 28 q^{9} + 6 q^{10} + q^{11} + 2 q^{14} + 4 q^{15} - 24 q^{16} - 28 q^{18} - 2 q^{22} - 6 q^{26} + 2 q^{28} - 2 q^{30} + 12 q^{31} - 24 q^{32} + 24 q^{33} - 8 q^{35} + 56 q^{36} - 6 q^{40} + 24 q^{43} + q^{44} + 6 q^{45} - 36 q^{49} + 6 q^{52} - 4 q^{56} - 4 q^{57} - 2 q^{60} - 52 q^{63} + 48 q^{64} - 24 q^{66} - 2 q^{70} - 40 q^{71} - 28 q^{72} + 42 q^{73} + 90 q^{75} + 19 q^{77} + 6 q^{80} - 72 q^{81} - 40 q^{85} - 12 q^{86} + 18 q^{87} + q^{88} + 60 q^{89} - 56 q^{91} + 24 q^{95} + 42 q^{98} - 58 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 0.866025i −0.353553 0.612372i
\(3\) 1.44024 2.49457i 0.831522 1.44024i −0.0653088 0.997865i \(-0.520803\pi\)
0.896831 0.442373i \(-0.145863\pi\)
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −1.57377 + 1.58848i −0.703811 + 0.710388i
\(6\) −2.88048 −1.17595
\(7\) −0.391243 + 2.61666i −0.147876 + 0.989006i
\(8\) 1.00000 0.353553
\(9\) −2.64857 4.58746i −0.882858 1.52915i
\(10\) 2.16254 + 0.568686i 0.683856 + 0.179834i
\(11\) 0.914142 + 3.18816i 0.275624 + 0.961266i
\(12\) 1.44024 + 2.49457i 0.415761 + 0.720119i
\(13\) 6.76312i 1.87575i 0.346972 + 0.937875i \(0.387210\pi\)
−0.346972 + 0.937875i \(0.612790\pi\)
\(14\) 2.46172 0.969505i 0.657922 0.259111i
\(15\) 1.69596 + 6.21365i 0.437894 + 1.60436i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 1.33823 + 0.772629i 0.324569 + 0.187390i 0.653427 0.756989i \(-0.273331\pi\)
−0.328858 + 0.944379i \(0.606664\pi\)
\(18\) −2.64857 + 4.58746i −0.624275 + 1.08128i
\(19\) −0.445529 0.771679i −0.102211 0.177035i 0.810384 0.585899i \(-0.199258\pi\)
−0.912595 + 0.408864i \(0.865925\pi\)
\(20\) −0.588776 2.15716i −0.131654 0.482356i
\(21\) 5.96396 + 4.74460i 1.30144 + 1.03536i
\(22\) 2.30395 2.38575i 0.491205 0.508643i
\(23\) 6.17407 3.56460i 1.28738 0.743271i 0.309197 0.950998i \(-0.399940\pi\)
0.978187 + 0.207727i \(0.0666066\pi\)
\(24\) 1.44024 2.49457i 0.293987 0.509201i
\(25\) −0.0465074 4.99978i −0.00930148 0.999957i
\(26\) 5.85703 3.38156i 1.14866 0.663178i
\(27\) −6.61688 −1.27342
\(28\) −2.07048 1.64716i −0.391283 0.311284i
\(29\) 2.79982i 0.519914i 0.965620 + 0.259957i \(0.0837084\pi\)
−0.965620 + 0.259957i \(0.916292\pi\)
\(30\) 4.53320 4.57557i 0.827646 0.835380i
\(31\) 0.849237 + 0.490307i 0.152527 + 0.0880618i 0.574321 0.818630i \(-0.305266\pi\)
−0.421794 + 0.906692i \(0.638599\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) 9.26965 + 2.31132i 1.61364 + 0.402349i
\(34\) 1.54526i 0.265009i
\(35\) −3.54078 4.73950i −0.598501 0.801122i
\(36\) 5.29715 0.882858
\(37\) −8.14224 + 4.70093i −1.33858 + 0.772828i −0.986596 0.163180i \(-0.947825\pi\)
−0.351980 + 0.936007i \(0.614492\pi\)
\(38\) −0.445529 + 0.771679i −0.0722743 + 0.125183i
\(39\) 16.8710 + 9.74050i 2.70153 + 1.55973i
\(40\) −1.57377 + 1.58848i −0.248835 + 0.251160i
\(41\) −8.03479 −1.25482 −0.627412 0.778688i \(-0.715886\pi\)
−0.627412 + 0.778688i \(0.715886\pi\)
\(42\) 1.12697 7.53724i 0.173895 1.16302i
\(43\) 0.302038 0.0460604 0.0230302 0.999735i \(-0.492669\pi\)
0.0230302 + 0.999735i \(0.492669\pi\)
\(44\) −3.21810 0.802409i −0.485146 0.120968i
\(45\) 11.4553 + 3.01241i 1.70766 + 0.449064i
\(46\) −6.17407 3.56460i −0.910317 0.525572i
\(47\) 5.24754 + 9.08901i 0.765433 + 1.32577i 0.940017 + 0.341127i \(0.110809\pi\)
−0.174584 + 0.984642i \(0.555858\pi\)
\(48\) −2.88048 −0.415761
\(49\) −6.69386 2.04750i −0.956265 0.292500i
\(50\) −4.30669 + 2.54017i −0.609057 + 0.359234i
\(51\) 3.85475 2.22554i 0.539773 0.311638i
\(52\) −5.85703 3.38156i −0.812224 0.468938i
\(53\) 4.89115 + 2.82391i 0.671851 + 0.387893i 0.796778 0.604273i \(-0.206536\pi\)
−0.124927 + 0.992166i \(0.539870\pi\)
\(54\) 3.30844 + 5.73039i 0.450222 + 0.779807i
\(55\) −6.50296 3.56533i −0.876858 0.480749i
\(56\) −0.391243 + 2.61666i −0.0522820 + 0.349666i
\(57\) −2.56667 −0.339964
\(58\) 2.42472 1.39991i 0.318381 0.183817i
\(59\) 3.61218 + 2.08549i 0.470266 + 0.271508i 0.716351 0.697740i \(-0.245811\pi\)
−0.246085 + 0.969248i \(0.579144\pi\)
\(60\) −6.22916 1.63809i −0.804181 0.211476i
\(61\) −0.226973 0.393129i −0.0290609 0.0503350i 0.851129 0.524956i \(-0.175918\pi\)
−0.880190 + 0.474621i \(0.842585\pi\)
\(62\) 0.980614i 0.124538i
\(63\) 13.0401 5.13561i 1.64290 0.647027i
\(64\) 1.00000 0.125000
\(65\) −10.7430 10.6436i −1.33251 1.32017i
\(66\) −2.63316 9.18341i −0.324120 1.13040i
\(67\) −8.39321 4.84582i −1.02539 0.592012i −0.109732 0.993961i \(-0.534999\pi\)
−0.915662 + 0.401950i \(0.868333\pi\)
\(68\) −1.33823 + 0.772629i −0.162285 + 0.0936950i
\(69\) 20.5355i 2.47219i
\(70\) −2.33414 + 5.43616i −0.278983 + 0.649745i
\(71\) −4.72658 −0.560942 −0.280471 0.959863i \(-0.590491\pi\)
−0.280471 + 0.959863i \(0.590491\pi\)
\(72\) −2.64857 4.58746i −0.312137 0.540638i
\(73\) 2.80161 + 1.61751i 0.327904 + 0.189316i 0.654910 0.755707i \(-0.272706\pi\)
−0.327006 + 0.945022i \(0.606040\pi\)
\(74\) 8.14224 + 4.70093i 0.946517 + 0.546472i
\(75\) −12.5393 7.08487i −1.44791 0.818090i
\(76\) 0.891058 0.102211
\(77\) −8.69999 + 1.14466i −0.991455 + 0.130446i
\(78\) 19.4810i 2.20579i
\(79\) 7.09357 4.09547i 0.798089 0.460777i −0.0447138 0.999000i \(-0.514238\pi\)
0.842802 + 0.538223i \(0.180904\pi\)
\(80\) 2.16254 + 0.568686i 0.241780 + 0.0635810i
\(81\) −1.58417 + 2.74386i −0.176019 + 0.304873i
\(82\) 4.01739 + 6.95833i 0.443647 + 0.768419i
\(83\) 4.01538i 0.440745i 0.975416 + 0.220373i \(0.0707274\pi\)
−0.975416 + 0.220373i \(0.929273\pi\)
\(84\) −7.09092 + 2.79264i −0.773683 + 0.304702i
\(85\) −3.33337 + 0.909810i −0.361555 + 0.0986828i
\(86\) −0.151019 0.261573i −0.0162848 0.0282061i
\(87\) 6.98434 + 4.03241i 0.748800 + 0.432320i
\(88\) 0.914142 + 3.18816i 0.0974478 + 0.339859i
\(89\) 6.83580 3.94665i 0.724594 0.418344i −0.0918474 0.995773i \(-0.529277\pi\)
0.816441 + 0.577429i \(0.195944\pi\)
\(90\) −3.11883 11.4268i −0.328754 1.20449i
\(91\) −17.6968 2.64602i −1.85513 0.277378i
\(92\) 7.12921i 0.743271i
\(93\) 2.44621 1.41232i 0.253660 0.146451i
\(94\) 5.24754 9.08901i 0.541243 0.937460i
\(95\) 1.92695 + 0.506732i 0.197701 + 0.0519896i
\(96\) 1.44024 + 2.49457i 0.146994 + 0.254601i
\(97\) 19.1494 1.94432 0.972162 0.234312i \(-0.0752836\pi\)
0.972162 + 0.234312i \(0.0752836\pi\)
\(98\) 1.57374 + 6.82080i 0.158972 + 0.689005i
\(99\) 12.2044 12.6377i 1.22659 1.27013i
\(100\) 4.35319 + 2.45962i 0.435319 + 0.245962i
\(101\) 5.11669 8.86237i 0.509130 0.881839i −0.490814 0.871264i \(-0.663301\pi\)
0.999944 0.0105746i \(-0.00336606\pi\)
\(102\) −3.85475 2.22554i −0.381677 0.220361i
\(103\) 1.03582 + 1.79408i 0.102062 + 0.176776i 0.912534 0.409001i \(-0.134123\pi\)
−0.810472 + 0.585777i \(0.800789\pi\)
\(104\) 6.76312i 0.663178i
\(105\) −16.9226 + 2.00670i −1.65147 + 0.195834i
\(106\) 5.64781i 0.548564i
\(107\) 8.13821 + 14.0958i 0.786750 + 1.36269i 0.927948 + 0.372710i \(0.121571\pi\)
−0.141198 + 0.989981i \(0.545095\pi\)
\(108\) 3.30844 5.73039i 0.318355 0.551407i
\(109\) −12.3584 7.13512i −1.18372 0.683421i −0.226847 0.973930i \(-0.572842\pi\)
−0.956872 + 0.290510i \(0.906175\pi\)
\(110\) 0.163812 + 7.41439i 0.0156189 + 0.706934i
\(111\) 27.0818i 2.57049i
\(112\) 2.46172 0.969505i 0.232611 0.0916097i
\(113\) 2.93230i 0.275848i −0.990443 0.137924i \(-0.955957\pi\)
0.990443 0.137924i \(-0.0440429\pi\)
\(114\) 1.28334 + 2.22280i 0.120195 + 0.208185i
\(115\) −4.05428 + 15.4172i −0.378063 + 1.43766i
\(116\) −2.42472 1.39991i −0.225129 0.129978i
\(117\) 31.0256 17.9126i 2.86831 1.65602i
\(118\) 4.17099i 0.383970i
\(119\) −2.54528 + 3.19942i −0.233326 + 0.293290i
\(120\) 1.69596 + 6.21365i 0.154819 + 0.567226i
\(121\) −9.32869 + 5.82885i −0.848063 + 0.529896i
\(122\) −0.226973 + 0.393129i −0.0205492 + 0.0355922i
\(123\) −11.5720 + 20.0433i −1.04341 + 1.80724i
\(124\) −0.849237 + 0.490307i −0.0762637 + 0.0440309i
\(125\) 8.01522 + 7.79462i 0.716903 + 0.697172i
\(126\) −10.9676 8.72524i −0.977073 0.777306i
\(127\) −11.9466 −1.06009 −0.530044 0.847970i \(-0.677825\pi\)
−0.530044 + 0.847970i \(0.677825\pi\)
\(128\) −0.500000 0.866025i −0.0441942 0.0765466i
\(129\) 0.435007 0.753454i 0.0383002 0.0663379i
\(130\) −3.84609 + 14.6255i −0.337324 + 1.28274i
\(131\) −2.49012 4.31301i −0.217563 0.376830i 0.736500 0.676438i \(-0.236477\pi\)
−0.954062 + 0.299608i \(0.903144\pi\)
\(132\) −6.63649 + 6.87209i −0.577632 + 0.598139i
\(133\) 2.19353 0.863885i 0.190203 0.0749083i
\(134\) 9.69165i 0.837231i
\(135\) 10.4134 10.5108i 0.896246 0.904622i
\(136\) 1.33823 + 0.772629i 0.114752 + 0.0662524i
\(137\) 9.98924 + 5.76729i 0.853439 + 0.492733i 0.861810 0.507232i \(-0.169331\pi\)
−0.00837103 + 0.999965i \(0.502665\pi\)
\(138\) −17.7843 + 10.2678i −1.51390 + 0.874050i
\(139\) −0.172337 −0.0146175 −0.00730873 0.999973i \(-0.502326\pi\)
−0.00730873 + 0.999973i \(0.502326\pi\)
\(140\) 5.87492 0.696654i 0.496521 0.0588780i
\(141\) 30.2309 2.54590
\(142\) 2.36329 + 4.09334i 0.198323 + 0.343505i
\(143\) −21.5619 + 6.18244i −1.80309 + 0.517002i
\(144\) −2.64857 + 4.58746i −0.220715 + 0.382289i
\(145\) −4.44745 4.40627i −0.369341 0.365921i
\(146\) 3.23503i 0.267733i
\(147\) −14.7484 + 13.7494i −1.21643 + 1.13403i
\(148\) 9.40185i 0.772828i
\(149\) −0.339030 + 0.195739i −0.0277744 + 0.0160356i −0.513823 0.857896i \(-0.671771\pi\)
0.486049 + 0.873932i \(0.338438\pi\)
\(150\) 0.133963 + 14.4018i 0.0109381 + 1.17590i
\(151\) −2.34480 1.35377i −0.190818 0.110169i 0.401548 0.915838i \(-0.368472\pi\)
−0.592365 + 0.805670i \(0.701806\pi\)
\(152\) −0.445529 0.771679i −0.0361372 0.0625914i
\(153\) 8.18546i 0.661755i
\(154\) 5.34129 + 6.96208i 0.430414 + 0.561020i
\(155\) −2.11534 + 0.577362i −0.169908 + 0.0463748i
\(156\) −16.8710 + 9.74050i −1.35076 + 0.779864i
\(157\) 3.34433 5.79255i 0.266907 0.462296i −0.701155 0.713009i \(-0.747332\pi\)
0.968061 + 0.250713i \(0.0806651\pi\)
\(158\) −7.09357 4.09547i −0.564334 0.325818i
\(159\) 14.0888 8.13419i 1.11732 0.645084i
\(160\) −0.588776 2.15716i −0.0465468 0.170539i
\(161\) 6.91180 + 17.5501i 0.544726 + 1.38314i
\(162\) 3.16833 0.248928
\(163\) 13.3290 7.69553i 1.04401 0.602760i 0.123044 0.992401i \(-0.460734\pi\)
0.920967 + 0.389641i \(0.127401\pi\)
\(164\) 4.01739 6.95833i 0.313706 0.543354i
\(165\) −18.2598 + 11.0871i −1.42152 + 0.863132i
\(166\) 3.47742 2.00769i 0.269900 0.155827i
\(167\) 2.67400i 0.206920i −0.994634 0.103460i \(-0.967009\pi\)
0.994634 0.103460i \(-0.0329914\pi\)
\(168\) 5.96396 + 4.74460i 0.460129 + 0.366054i
\(169\) −32.7397 −2.51844
\(170\) 2.45460 + 2.43188i 0.188259 + 0.186516i
\(171\) −2.36003 + 4.08770i −0.180476 + 0.312594i
\(172\) −0.151019 + 0.261573i −0.0115151 + 0.0199447i
\(173\) 18.2861 10.5575i 1.39027 0.802671i 0.396922 0.917852i \(-0.370078\pi\)
0.993344 + 0.115181i \(0.0367449\pi\)
\(174\) 8.06482i 0.611393i
\(175\) 13.1009 + 1.83444i 0.990339 + 0.138670i
\(176\) 2.30395 2.38575i 0.173667 0.179833i
\(177\) 10.4048 6.00721i 0.782073 0.451530i
\(178\) −6.83580 3.94665i −0.512365 0.295814i
\(179\) 4.39977 7.62063i 0.328854 0.569592i −0.653431 0.756986i \(-0.726671\pi\)
0.982285 + 0.187394i \(0.0600042\pi\)
\(180\) −8.33648 + 8.41439i −0.621365 + 0.627172i
\(181\) 5.30776i 0.394523i 0.980351 + 0.197261i \(0.0632048\pi\)
−0.980351 + 0.197261i \(0.936795\pi\)
\(182\) 6.55688 + 16.6489i 0.486028 + 1.23410i
\(183\) −1.30758 −0.0966592
\(184\) 6.17407 3.56460i 0.455159 0.262786i
\(185\) 5.34670 20.3319i 0.393097 1.49483i
\(186\) −2.44621 1.41232i −0.179365 0.103556i
\(187\) −1.23993 + 4.97279i −0.0906725 + 0.363646i
\(188\) −10.4951 −0.765433
\(189\) 2.58881 17.3142i 0.188308 1.25942i
\(190\) −0.524633 1.92215i −0.0380609 0.139448i
\(191\) −3.95152 6.84423i −0.285922 0.495231i 0.686910 0.726742i \(-0.258966\pi\)
−0.972832 + 0.231511i \(0.925633\pi\)
\(192\) 1.44024 2.49457i 0.103940 0.180030i
\(193\) 7.13707 12.3618i 0.513738 0.889820i −0.486135 0.873884i \(-0.661594\pi\)
0.999873 0.0159362i \(-0.00507285\pi\)
\(194\) −9.57468 16.5838i −0.687422 1.19065i
\(195\) −42.0236 + 11.4699i −3.00938 + 0.821380i
\(196\) 5.12012 4.77330i 0.365723 0.340950i
\(197\) −24.2556 −1.72814 −0.864071 0.503369i \(-0.832093\pi\)
−0.864071 + 0.503369i \(0.832093\pi\)
\(198\) −17.0467 4.25048i −1.21146 0.302068i
\(199\) 9.10776 + 5.25837i 0.645632 + 0.372756i 0.786781 0.617233i \(-0.211746\pi\)
−0.141149 + 0.989988i \(0.545080\pi\)
\(200\) −0.0465074 4.99978i −0.00328857 0.353538i
\(201\) −24.1765 + 13.9583i −1.70528 + 0.984541i
\(202\) −10.2334 −0.720018
\(203\) −7.32619 1.09541i −0.514198 0.0768828i
\(204\) 4.45108i 0.311638i
\(205\) 12.6449 12.7631i 0.883158 0.891411i
\(206\) 1.03582 1.79408i 0.0721687 0.125000i
\(207\) −32.7050 18.8822i −2.27315 1.31241i
\(208\) 5.85703 3.38156i 0.406112 0.234469i
\(209\) 2.05296 2.12584i 0.142006 0.147047i
\(210\) 10.1991 + 13.6520i 0.703807 + 0.942079i
\(211\) 7.05248i 0.485513i 0.970087 + 0.242756i \(0.0780516\pi\)
−0.970087 + 0.242756i \(0.921948\pi\)
\(212\) −4.89115 + 2.82391i −0.335925 + 0.193947i
\(213\) −6.80740 + 11.7908i −0.466435 + 0.807890i
\(214\) 8.13821 14.0958i 0.556316 0.963568i
\(215\) −0.475338 + 0.479780i −0.0324178 + 0.0327207i
\(216\) −6.61688 −0.450222
\(217\) −1.61523 + 2.03034i −0.109649 + 0.137828i
\(218\) 14.2702i 0.966503i
\(219\) 8.06998 4.65921i 0.545319 0.314840i
\(220\) 6.33914 3.84906i 0.427385 0.259504i
\(221\) −5.22538 + 9.05062i −0.351497 + 0.608811i
\(222\) 23.4535 13.5409i 1.57410 0.908807i
\(223\) −14.8664 −0.995529 −0.497765 0.867312i \(-0.665846\pi\)
−0.497765 + 0.867312i \(0.665846\pi\)
\(224\) −2.07048 1.64716i −0.138339 0.110055i
\(225\) −22.8132 + 13.4556i −1.52088 + 0.897043i
\(226\) −2.53945 + 1.46615i −0.168922 + 0.0975269i
\(227\) 6.23204 + 3.59807i 0.413635 + 0.238812i 0.692350 0.721562i \(-0.256575\pi\)
−0.278715 + 0.960374i \(0.589909\pi\)
\(228\) 1.28334 2.22280i 0.0849910 0.147209i
\(229\) −6.72483 + 3.88258i −0.444390 + 0.256568i −0.705458 0.708752i \(-0.749259\pi\)
0.261068 + 0.965320i \(0.415925\pi\)
\(230\) 15.3788 4.19750i 1.01405 0.276775i
\(231\) −9.67463 + 23.3513i −0.636544 + 1.53640i
\(232\) 2.79982i 0.183817i
\(233\) 1.44473 + 2.50235i 0.0946474 + 0.163934i 0.909461 0.415788i \(-0.136494\pi\)
−0.814814 + 0.579723i \(0.803161\pi\)
\(234\) −31.0256 17.9126i −2.02820 1.17098i
\(235\) −22.6961 5.96841i −1.48053 0.389336i
\(236\) −3.61218 + 2.08549i −0.235133 + 0.135754i
\(237\) 23.5938i 1.53258i
\(238\) 4.04342 + 0.604571i 0.262096 + 0.0391885i
\(239\) 21.5057i 1.39109i 0.718484 + 0.695544i \(0.244836\pi\)
−0.718484 + 0.695544i \(0.755164\pi\)
\(240\) 4.53320 4.57557i 0.292617 0.295352i
\(241\) −10.4728 + 18.1393i −0.674609 + 1.16846i 0.301973 + 0.953316i \(0.402355\pi\)
−0.976583 + 0.215142i \(0.930979\pi\)
\(242\) 9.71228 + 5.16446i 0.624329 + 0.331984i
\(243\) −5.36217 9.28755i −0.343983 0.595796i
\(244\) 0.453946 0.0290609
\(245\) 13.7870 7.41073i 0.880818 0.473454i
\(246\) 23.1440 1.47561
\(247\) 5.21895 3.01316i 0.332074 0.191723i
\(248\) 0.849237 + 0.490307i 0.0539266 + 0.0311345i
\(249\) 10.0166 + 5.78311i 0.634779 + 0.366490i
\(250\) 2.74273 10.8387i 0.173466 0.685500i
\(251\) 11.5989i 0.732115i 0.930592 + 0.366057i \(0.119293\pi\)
−0.930592 + 0.366057i \(0.880707\pi\)
\(252\) −2.07247 + 13.8609i −0.130553 + 0.873152i
\(253\) 17.0085 + 16.4254i 1.06931 + 1.03265i
\(254\) 5.97330 + 10.3461i 0.374798 + 0.649169i
\(255\) −2.53126 + 9.62565i −0.158514 + 0.602782i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 5.24197 + 9.07936i 0.326985 + 0.566355i 0.981912 0.189337i \(-0.0606339\pi\)
−0.654927 + 0.755692i \(0.727301\pi\)
\(258\) −0.870014 −0.0541647
\(259\) −9.11515 23.1447i −0.566388 1.43814i
\(260\) 14.5891 3.98196i 0.904779 0.246951i
\(261\) 12.8441 7.41554i 0.795029 0.459010i
\(262\) −2.49012 + 4.31301i −0.153840 + 0.266459i
\(263\) 8.33780 14.4415i 0.514131 0.890500i −0.485735 0.874106i \(-0.661448\pi\)
0.999866 0.0163943i \(-0.00521869\pi\)
\(264\) 9.26965 + 2.31132i 0.570508 + 0.142252i
\(265\) −12.1832 + 3.32529i −0.748410 + 0.204271i
\(266\) −1.84491 1.46771i −0.113119 0.0899913i
\(267\) 22.7365i 1.39145i
\(268\) 8.39321 4.84582i 0.512697 0.296006i
\(269\) 3.39881 + 1.96231i 0.207229 + 0.119644i 0.600023 0.799983i \(-0.295158\pi\)
−0.392794 + 0.919627i \(0.628491\pi\)
\(270\) −14.3093 3.76293i −0.870836 0.229004i
\(271\) −4.29650 7.44176i −0.260994 0.452055i 0.705512 0.708698i \(-0.250717\pi\)
−0.966506 + 0.256643i \(0.917384\pi\)
\(272\) 1.54526i 0.0936950i
\(273\) −32.0883 + 40.3349i −1.94207 + 2.44118i
\(274\) 11.5346i 0.696830i
\(275\) 15.8976 4.71878i 0.958660 0.284553i
\(276\) 17.7843 + 10.2678i 1.07049 + 0.618046i
\(277\) −14.4256 + 24.9858i −0.866748 + 1.50125i −0.00144636 + 0.999999i \(0.500460\pi\)
−0.865301 + 0.501252i \(0.832873\pi\)
\(278\) 0.0861686 + 0.149248i 0.00516805 + 0.00895133i
\(279\) 5.19446i 0.310984i
\(280\) −3.54078 4.73950i −0.211602 0.283239i
\(281\) 19.7917i 1.18068i −0.807156 0.590338i \(-0.798994\pi\)
0.807156 0.590338i \(-0.201006\pi\)
\(282\) −15.1154 26.1807i −0.900111 1.55904i
\(283\) −26.0932 15.0649i −1.55108 0.895518i −0.998054 0.0623554i \(-0.980139\pi\)
−0.553028 0.833162i \(-0.686528\pi\)
\(284\) 2.36329 4.09334i 0.140235 0.242895i
\(285\) 4.03935 4.07709i 0.239270 0.241506i
\(286\) 16.1351 + 15.5819i 0.954088 + 0.921378i
\(287\) 3.14356 21.0243i 0.185558 1.24103i
\(288\) 5.29715 0.312137
\(289\) −7.30609 12.6545i −0.429770 0.744383i
\(290\) −1.59222 + 6.05474i −0.0934983 + 0.355547i
\(291\) 27.5796 47.7694i 1.61675 2.80029i
\(292\) −2.80161 + 1.61751i −0.163952 + 0.0946578i
\(293\) 2.94700i 0.172165i 0.996288 + 0.0860827i \(0.0274349\pi\)
−0.996288 + 0.0860827i \(0.972565\pi\)
\(294\) 19.2815 + 5.89779i 1.12452 + 0.343966i
\(295\) −8.99749 + 2.45578i −0.523854 + 0.142981i
\(296\) −8.14224 + 4.70093i −0.473258 + 0.273236i
\(297\) −6.04877 21.0957i −0.350985 1.22409i
\(298\) 0.339030 + 0.195739i 0.0196395 + 0.0113388i
\(299\) 24.1078 + 41.7560i 1.39419 + 2.41481i
\(300\) 12.4053 7.31690i 0.716221 0.422441i
\(301\) −0.118170 + 0.790332i −0.00681122 + 0.0455540i
\(302\) 2.70755i 0.155802i
\(303\) −14.7385 25.5279i −0.846706 1.46654i
\(304\) −0.445529 + 0.771679i −0.0255528 + 0.0442588i
\(305\) 0.981678 + 0.258152i 0.0562107 + 0.0147818i
\(306\) −7.08881 + 4.09273i −0.405241 + 0.233966i
\(307\) 27.4659i 1.56756i 0.621039 + 0.783780i \(0.286711\pi\)
−0.621039 + 0.783780i \(0.713289\pi\)
\(308\) 3.35869 8.10674i 0.191379 0.461924i
\(309\) 5.96728 0.339467
\(310\) 1.55768 + 1.54326i 0.0884704 + 0.0876513i
\(311\) −11.5613 6.67494i −0.655584 0.378501i 0.135009 0.990844i \(-0.456894\pi\)
−0.790592 + 0.612343i \(0.790227\pi\)
\(312\) 16.8710 + 9.74050i 0.955135 + 0.551447i
\(313\) −14.1347 24.4821i −0.798942 1.38381i −0.920306 0.391200i \(-0.872060\pi\)
0.121364 0.992608i \(-0.461273\pi\)
\(314\) −6.68866 −0.377463
\(315\) −12.3643 + 28.7961i −0.696648 + 1.62248i
\(316\) 8.19094i 0.460777i
\(317\) 20.4874 11.8284i 1.15069 0.664349i 0.201632 0.979461i \(-0.435376\pi\)
0.949054 + 0.315112i \(0.102042\pi\)
\(318\) −14.0888 8.13419i −0.790063 0.456143i
\(319\) −8.92627 + 2.55943i −0.499775 + 0.143301i
\(320\) −1.57377 + 1.58848i −0.0879763 + 0.0887985i
\(321\) 46.8838 2.61680
\(322\) 11.7429 14.7608i 0.654408 0.822590i
\(323\) 1.37691i 0.0766135i
\(324\) −1.58417 2.74386i −0.0880093 0.152437i
\(325\) 33.8141 0.314535i 1.87567 0.0174473i
\(326\) −13.3290 7.69553i −0.738227 0.426216i
\(327\) −35.5981 + 20.5525i −1.96858 + 1.13656i
\(328\) −8.03479 −0.443647
\(329\) −25.8360 + 10.1750i −1.42438 + 0.560968i
\(330\) 18.7316 + 10.2698i 1.03114 + 0.565337i
\(331\) −7.28149 12.6119i −0.400227 0.693213i 0.593526 0.804815i \(-0.297735\pi\)
−0.993753 + 0.111602i \(0.964402\pi\)
\(332\) −3.47742 2.00769i −0.190848 0.110186i
\(333\) 43.1307 + 24.9015i 2.36355 + 1.36459i
\(334\) −2.31575 + 1.33700i −0.126712 + 0.0731573i
\(335\) 20.9064 5.70621i 1.14224 0.311763i
\(336\) 1.12697 7.53724i 0.0614811 0.411190i
\(337\) 19.9023 1.08415 0.542074 0.840331i \(-0.317639\pi\)
0.542074 + 0.840331i \(0.317639\pi\)
\(338\) 16.3699 + 28.3534i 0.890403 + 1.54222i
\(339\) −7.31482 4.22321i −0.397286 0.229373i
\(340\) 0.878766 3.34169i 0.0476578 0.181228i
\(341\) −0.786854 + 3.15571i −0.0426105 + 0.170891i
\(342\) 4.72006 0.255232
\(343\) 7.97655 16.7145i 0.430693 0.902498i
\(344\) 0.302038 0.0162848
\(345\) 32.6202 + 32.3181i 1.75621 + 1.73995i
\(346\) −18.2861 10.5575i −0.983067 0.567574i
\(347\) 8.44426 14.6259i 0.453312 0.785159i −0.545278 0.838255i \(-0.683576\pi\)
0.998589 + 0.0530967i \(0.0169092\pi\)
\(348\) −6.98434 + 4.03241i −0.374400 + 0.216160i
\(349\) 29.0093 1.55283 0.776417 0.630219i \(-0.217035\pi\)
0.776417 + 0.630219i \(0.217035\pi\)
\(350\) −4.96181 12.2630i −0.265220 0.655483i
\(351\) 44.7507i 2.38862i
\(352\) −3.21810 0.802409i −0.171525 0.0427685i
\(353\) 6.99148 12.1096i 0.372119 0.644528i −0.617773 0.786357i \(-0.711965\pi\)
0.989891 + 0.141828i \(0.0452981\pi\)
\(354\) −10.4048 6.00721i −0.553009 0.319280i
\(355\) 7.43854 7.50805i 0.394797 0.398486i
\(356\) 7.89331i 0.418344i
\(357\) 4.31535 + 10.9573i 0.228392 + 0.579922i
\(358\) −8.79954 −0.465070
\(359\) 22.9522 13.2514i 1.21137 0.699384i 0.248311 0.968680i \(-0.420124\pi\)
0.963057 + 0.269296i \(0.0867911\pi\)
\(360\) 11.4553 + 3.01241i 0.603748 + 0.158768i
\(361\) 9.10301 15.7669i 0.479106 0.829835i
\(362\) 4.59666 2.65388i 0.241595 0.139485i
\(363\) 1.10492 + 31.6660i 0.0579933 + 1.66203i
\(364\) 11.1399 14.0029i 0.583891 0.733950i
\(365\) −6.97847 + 1.90470i −0.365270 + 0.0996968i
\(366\) 0.653790 + 1.13240i 0.0341742 + 0.0591914i
\(367\) 14.0582 24.3495i 0.733832 1.27103i −0.221402 0.975183i \(-0.571063\pi\)
0.955234 0.295851i \(-0.0956032\pi\)
\(368\) −6.17407 3.56460i −0.321846 0.185818i
\(369\) 21.2807 + 36.8593i 1.10783 + 1.91882i
\(370\) −20.2813 + 5.53558i −1.05438 + 0.287781i
\(371\) −9.30284 + 11.6937i −0.482979 + 0.607104i
\(372\) 2.82464i 0.146451i
\(373\) −7.76959 13.4573i −0.402294 0.696793i 0.591708 0.806152i \(-0.298454\pi\)
−0.994002 + 0.109359i \(0.965120\pi\)
\(374\) 4.92652 1.41258i 0.254744 0.0730430i
\(375\) 30.9880 8.76839i 1.60022 0.452798i
\(376\) 5.24754 + 9.08901i 0.270621 + 0.468730i
\(377\) −18.9355 −0.975229
\(378\) −16.2889 + 6.41510i −0.837811 + 0.329957i
\(379\) −22.9334 −1.17801 −0.589004 0.808130i \(-0.700480\pi\)
−0.589004 + 0.808130i \(0.700480\pi\)
\(380\) −1.40232 + 1.41542i −0.0719374 + 0.0726097i
\(381\) −17.2059 + 29.8016i −0.881487 + 1.52678i
\(382\) −3.95152 + 6.84423i −0.202177 + 0.350181i
\(383\) 14.9019 + 25.8109i 0.761452 + 1.31887i 0.942102 + 0.335327i \(0.108847\pi\)
−0.180649 + 0.983548i \(0.557820\pi\)
\(384\) −2.88048 −0.146994
\(385\) 11.8735 15.6211i 0.605130 0.796127i
\(386\) −14.2741 −0.726535
\(387\) −0.799970 1.38559i −0.0406648 0.0704334i
\(388\) −9.57468 + 16.5838i −0.486081 + 0.841917i
\(389\) 10.7426 18.6067i 0.544670 0.943396i −0.453957 0.891023i \(-0.649988\pi\)
0.998628 0.0523731i \(-0.0166785\pi\)
\(390\) 30.9451 + 30.6586i 1.56697 + 1.55246i
\(391\) 11.0165 0.557126
\(392\) −6.69386 2.04750i −0.338091 0.103415i
\(393\) −14.3455 −0.723633
\(394\) 12.1278 + 21.0060i 0.610991 + 1.05827i
\(395\) −4.65807 + 17.7133i −0.234373 + 0.891252i
\(396\) 4.84234 + 16.8881i 0.243337 + 0.848661i
\(397\) 16.2517 + 28.1488i 0.815652 + 1.41275i 0.908859 + 0.417103i \(0.136955\pi\)
−0.0932073 + 0.995647i \(0.529712\pi\)
\(398\) 10.5167i 0.527156i
\(399\) 1.00419 6.71611i 0.0502725 0.336226i
\(400\) −4.30669 + 2.54017i −0.215334 + 0.127008i
\(401\) −11.1849 19.3728i −0.558546 0.967430i −0.997618 0.0689781i \(-0.978026\pi\)
0.439072 0.898452i \(-0.355307\pi\)
\(402\) 24.1765 + 13.9583i 1.20581 + 0.696176i
\(403\) −3.31600 + 5.74349i −0.165182 + 0.286104i
\(404\) 5.11669 + 8.86237i 0.254565 + 0.440919i
\(405\) −1.86544 6.83460i −0.0926944 0.339614i
\(406\) 2.71444 + 6.89238i 0.134716 + 0.342063i
\(407\) −22.4305 21.6614i −1.11184 1.07372i
\(408\) 3.85475 2.22554i 0.190838 0.110181i
\(409\) −9.53760 + 16.5196i −0.471604 + 0.816842i −0.999472 0.0324840i \(-0.989658\pi\)
0.527868 + 0.849326i \(0.322992\pi\)
\(410\) −17.3756 4.56927i −0.858119 0.225660i
\(411\) 28.7738 16.6126i 1.41931 0.819437i
\(412\) −2.07163 −0.102062
\(413\) −6.87027 + 8.63592i −0.338064 + 0.424946i
\(414\) 37.7645i 1.85602i
\(415\) −6.37834 6.31928i −0.313100 0.310201i
\(416\) −5.85703 3.38156i −0.287165 0.165795i
\(417\) −0.248207 + 0.429907i −0.0121547 + 0.0210526i
\(418\) −2.86751 0.714992i −0.140254 0.0349714i
\(419\) 19.4987i 0.952574i 0.879290 + 0.476287i \(0.158018\pi\)
−0.879290 + 0.476287i \(0.841982\pi\)
\(420\) 6.72343 15.6587i 0.328070 0.764067i
\(421\) 7.90039 0.385041 0.192521 0.981293i \(-0.438334\pi\)
0.192521 + 0.981293i \(0.438334\pi\)
\(422\) 6.10763 3.52624i 0.297315 0.171655i
\(423\) 27.7970 48.1459i 1.35154 2.34093i
\(424\) 4.89115 + 2.82391i 0.237535 + 0.137141i
\(425\) 3.80074 6.72680i 0.184363 0.326298i
\(426\) 13.6148 0.659639
\(427\) 1.11749 0.440103i 0.0540790 0.0212981i
\(428\) −16.2764 −0.786750
\(429\) −15.6317 + 62.6917i −0.754707 + 3.02678i
\(430\) 0.653171 + 0.171765i 0.0314987 + 0.00828323i
\(431\) −25.2940 14.6035i −1.21837 0.703425i −0.253800 0.967257i \(-0.581680\pi\)
−0.964569 + 0.263831i \(0.915014\pi\)
\(432\) 3.30844 + 5.73039i 0.159177 + 0.275703i
\(433\) 17.6790 0.849599 0.424799 0.905287i \(-0.360345\pi\)
0.424799 + 0.905287i \(0.360345\pi\)
\(434\) 2.56594 + 0.383659i 0.123169 + 0.0184162i
\(435\) −17.3971 + 4.74837i −0.834128 + 0.227667i
\(436\) 12.3584 7.13512i 0.591860 0.341710i
\(437\) −5.50146 3.17627i −0.263170 0.151941i
\(438\) −8.06998 4.65921i −0.385599 0.222626i
\(439\) −3.88898 6.73591i −0.185611 0.321488i 0.758171 0.652055i \(-0.226093\pi\)
−0.943782 + 0.330568i \(0.892760\pi\)
\(440\) −6.50296 3.56533i −0.310016 0.169970i
\(441\) 8.33633 + 36.1308i 0.396968 + 1.72051i
\(442\) 10.4508 0.497092
\(443\) −26.6196 + 15.3688i −1.26473 + 0.730195i −0.973987 0.226605i \(-0.927237\pi\)
−0.290747 + 0.956800i \(0.593904\pi\)
\(444\) −23.4535 13.5409i −1.11306 0.642623i
\(445\) −4.48881 + 17.0696i −0.212790 + 0.809178i
\(446\) 7.43321 + 12.8747i 0.351973 + 0.609635i
\(447\) 1.12764i 0.0533357i
\(448\) −0.391243 + 2.61666i −0.0184845 + 0.123626i
\(449\) 8.20812 0.387365 0.193682 0.981064i \(-0.437957\pi\)
0.193682 + 0.981064i \(0.437957\pi\)
\(450\) 23.0595 + 13.0289i 1.08704 + 0.614190i
\(451\) −7.34493 25.6162i −0.345859 1.20622i
\(452\) 2.53945 + 1.46615i 0.119446 + 0.0689619i
\(453\) −6.75416 + 3.89951i −0.317338 + 0.183215i
\(454\) 7.19614i 0.337731i
\(455\) 32.0538 23.9467i 1.50271 1.12264i
\(456\) −2.56667 −0.120195
\(457\) −8.43227 14.6051i −0.394445 0.683199i 0.598585 0.801059i \(-0.295730\pi\)
−0.993030 + 0.117861i \(0.962396\pi\)
\(458\) 6.72483 + 3.88258i 0.314231 + 0.181421i
\(459\) −8.85493 5.11239i −0.413313 0.238626i
\(460\) −11.3246 11.2197i −0.528011 0.523122i
\(461\) 25.9736 1.20971 0.604856 0.796335i \(-0.293230\pi\)
0.604856 + 0.796335i \(0.293230\pi\)
\(462\) 25.0601 3.29716i 1.16590 0.153398i
\(463\) 6.66326i 0.309668i −0.987941 0.154834i \(-0.950516\pi\)
0.987941 0.154834i \(-0.0494842\pi\)
\(464\) 2.42472 1.39991i 0.112565 0.0649892i
\(465\) −1.60633 + 6.10840i −0.0744918 + 0.283270i
\(466\) 1.44473 2.50235i 0.0669259 0.115919i
\(467\) 4.29559 + 7.44018i 0.198776 + 0.344290i 0.948132 0.317877i \(-0.102970\pi\)
−0.749356 + 0.662168i \(0.769637\pi\)
\(468\) 35.8252i 1.65602i
\(469\) 15.9637 20.0663i 0.737134 0.926577i
\(470\) 6.17926 + 22.6396i 0.285028 + 1.04429i
\(471\) −9.63327 16.6853i −0.443877 0.768818i
\(472\) 3.61218 + 2.08549i 0.166264 + 0.0959926i
\(473\) 0.276106 + 0.962945i 0.0126953 + 0.0442762i
\(474\) −20.4329 + 11.7969i −0.938512 + 0.541850i
\(475\) −3.83751 + 2.26344i −0.176077 + 0.103854i
\(476\) −1.49814 3.80399i −0.0686669 0.174356i
\(477\) 29.9173i 1.36982i
\(478\) 18.6245 10.7528i 0.851864 0.491824i
\(479\) 9.15755 15.8613i 0.418419 0.724723i −0.577362 0.816488i \(-0.695918\pi\)
0.995781 + 0.0917657i \(0.0292511\pi\)
\(480\) −6.22916 1.63809i −0.284321 0.0747680i
\(481\) −31.7929 55.0669i −1.44963 2.51084i
\(482\) 20.9455 0.954042
\(483\) 53.7345 + 8.03438i 2.44501 + 0.365577i
\(484\) −0.383590 10.9933i −0.0174359 0.499696i
\(485\) −30.1367 + 30.4183i −1.36844 + 1.38122i
\(486\) −5.36217 + 9.28755i −0.243233 + 0.421292i
\(487\) −16.3775 9.45553i −0.742133 0.428471i 0.0807111 0.996738i \(-0.474281\pi\)
−0.822844 + 0.568267i \(0.807614\pi\)
\(488\) −0.226973 0.393129i −0.0102746 0.0177961i
\(489\) 44.3336i 2.00483i
\(490\) −13.3114 8.23452i −0.601347 0.371997i
\(491\) 2.08588i 0.0941345i −0.998892 0.0470672i \(-0.985012\pi\)
0.998892 0.0470672i \(-0.0149875\pi\)
\(492\) −11.5720 20.0433i −0.521707 0.903622i
\(493\) −2.16322 + 3.74681i −0.0974267 + 0.168748i
\(494\) −5.21895 3.01316i −0.234812 0.135569i
\(495\) 0.867738 + 39.2751i 0.0390019 + 1.76529i
\(496\) 0.980614i 0.0440309i
\(497\) 1.84924 12.3679i 0.0829498 0.554775i
\(498\) 11.5662i 0.518295i
\(499\) 11.0473 + 19.1345i 0.494546 + 0.856580i 0.999980 0.00628578i \(-0.00200084\pi\)
−0.505434 + 0.862865i \(0.668668\pi\)
\(500\) −10.7580 + 3.04408i −0.481110 + 0.136135i
\(501\) −6.67046 3.85119i −0.298014 0.172059i
\(502\) 10.0449 5.79944i 0.448327 0.258842i
\(503\) 5.93021i 0.264415i 0.991222 + 0.132208i \(0.0422065\pi\)
−0.991222 + 0.132208i \(0.957793\pi\)
\(504\) 13.0401 5.13561i 0.580852 0.228758i
\(505\) 6.02517 + 22.0751i 0.268117 + 0.982327i
\(506\) 5.72054 22.9425i 0.254309 1.01992i
\(507\) −47.1530 + 81.6714i −2.09414 + 3.62716i
\(508\) 5.97330 10.3461i 0.265022 0.459032i
\(509\) 3.85268 2.22435i 0.170767 0.0985924i −0.412180 0.911102i \(-0.635233\pi\)
0.582947 + 0.812510i \(0.301899\pi\)
\(510\) 9.60169 2.62069i 0.425170 0.116046i
\(511\) −5.32860 + 6.69804i −0.235723 + 0.296304i
\(512\) 1.00000 0.0441942
\(513\) 2.94801 + 5.10611i 0.130158 + 0.225440i
\(514\) 5.24197 9.07936i 0.231213 0.400473i
\(515\) −4.47999 1.17811i −0.197412 0.0519136i
\(516\) 0.435007 + 0.753454i 0.0191501 + 0.0331690i
\(517\) −24.1802 + 25.0386i −1.06344 + 1.10120i
\(518\) −15.4863 + 19.4663i −0.680431 + 0.855301i
\(519\) 60.8212i 2.66975i
\(520\) −10.7430 10.6436i −0.471114 0.466752i
\(521\) 36.9647 + 21.3416i 1.61945 + 0.934992i 0.987061 + 0.160345i \(0.0512607\pi\)
0.632393 + 0.774647i \(0.282073\pi\)
\(522\) −12.8441 7.41554i −0.562170 0.324569i
\(523\) 24.1037 13.9163i 1.05398 0.608517i 0.130221 0.991485i \(-0.458431\pi\)
0.923762 + 0.382968i \(0.125098\pi\)
\(524\) 4.98024 0.217563
\(525\) 23.4446 30.0392i 1.02321 1.31102i
\(526\) −16.6756 −0.727091
\(527\) 0.757651 + 1.31229i 0.0330038 + 0.0571642i
\(528\) −2.63316 9.18341i −0.114594 0.399657i
\(529\) 13.9128 24.0977i 0.604904 1.04772i
\(530\) 8.97141 + 8.88834i 0.389693 + 0.386085i
\(531\) 22.0943i 0.958812i
\(532\) −0.348620 + 2.33160i −0.0151146 + 0.101088i
\(533\) 54.3402i 2.35374i
\(534\) −19.6904 + 11.3682i −0.852086 + 0.491952i
\(535\) −35.1985 9.25616i −1.52176 0.400179i
\(536\) −8.39321 4.84582i −0.362532 0.209308i
\(537\) −12.6734 21.9510i −0.546899 0.947257i
\(538\) 3.92461i 0.169202i
\(539\) 0.408628 23.2128i 0.0176008 0.999845i
\(540\) 3.89586 + 14.2737i 0.167651 + 0.614241i
\(541\) −2.72711 + 1.57450i −0.117248 + 0.0676930i −0.557477 0.830192i \(-0.688231\pi\)
0.440229 + 0.897885i \(0.354897\pi\)
\(542\) −4.29650 + 7.44176i −0.184550 + 0.319651i
\(543\) 13.2406 + 7.64445i 0.568207 + 0.328055i
\(544\) −1.33823 + 0.772629i −0.0573762 + 0.0331262i
\(545\) 30.7832 8.40197i 1.31861 0.359901i
\(546\) 50.9752 + 7.62181i 2.18154 + 0.326183i
\(547\) 34.6612 1.48201 0.741003 0.671501i \(-0.234350\pi\)
0.741003 + 0.671501i \(0.234350\pi\)
\(548\) −9.98924 + 5.76729i −0.426719 + 0.246366i
\(549\) −1.20231 + 2.08246i −0.0513133 + 0.0888773i
\(550\) −12.0354 11.4083i −0.513190 0.486452i
\(551\) 2.16056 1.24740i 0.0920431 0.0531411i
\(552\) 20.5355i 0.874050i
\(553\) 7.94117 + 20.1638i 0.337693 + 0.857452i
\(554\) 28.8511 1.22577
\(555\) −43.0188 42.6205i −1.82605 1.80914i
\(556\) 0.0861686 0.149248i 0.00365436 0.00632955i
\(557\) 9.14129 15.8332i 0.387329 0.670873i −0.604760 0.796407i \(-0.706731\pi\)
0.992089 + 0.125534i \(0.0400644\pi\)
\(558\) −4.49853 + 2.59723i −0.190438 + 0.109950i
\(559\) 2.04272i 0.0863978i
\(560\) −2.33414 + 5.43616i −0.0986354 + 0.229720i
\(561\) 10.6192 + 10.2551i 0.448341 + 0.432970i
\(562\) −17.1401 + 9.89587i −0.723014 + 0.417432i
\(563\) −6.56375 3.78958i −0.276629 0.159712i 0.355267 0.934765i \(-0.384390\pi\)
−0.631896 + 0.775053i \(0.717723\pi\)
\(564\) −15.1154 + 26.1807i −0.636475 + 1.10241i
\(565\) 4.65789 + 4.61476i 0.195959 + 0.194145i
\(566\) 30.1299i 1.26645i
\(567\) −6.55996 5.21875i −0.275492 0.219167i
\(568\) −4.72658 −0.198323
\(569\) 12.8228 7.40323i 0.537558 0.310359i −0.206530 0.978440i \(-0.566217\pi\)
0.744089 + 0.668081i \(0.232884\pi\)
\(570\) −5.55054 1.45963i −0.232487 0.0611371i
\(571\) 37.1225 + 21.4327i 1.55353 + 0.896930i 0.997850 + 0.0655330i \(0.0208748\pi\)
0.555678 + 0.831397i \(0.312459\pi\)
\(572\) 5.42678 21.7644i 0.226905 0.910013i
\(573\) −22.7645 −0.951002
\(574\) −19.7794 + 7.78977i −0.825576 + 0.325139i
\(575\) −18.1094 30.7033i −0.755214 1.28041i
\(576\) −2.64857 4.58746i −0.110357 0.191144i
\(577\) 1.62463 2.81394i 0.0676341 0.117146i −0.830225 0.557428i \(-0.811788\pi\)
0.897859 + 0.440282i \(0.145122\pi\)
\(578\) −7.30609 + 12.6545i −0.303893 + 0.526359i
\(579\) −20.5582 35.6078i −0.854368 1.47981i
\(580\) 6.03967 1.64847i 0.250784 0.0684489i
\(581\) −10.5069 1.57099i −0.435900 0.0651757i
\(582\) −55.1593 −2.28643
\(583\) −4.53185 + 18.1752i −0.187690 + 0.752740i
\(584\) 2.80161 + 1.61751i 0.115932 + 0.0669331i
\(585\) −20.3733 + 77.4736i −0.842332 + 3.20314i
\(586\) 2.55217 1.47350i 0.105429 0.0608696i
\(587\) 17.0225 0.702593 0.351296 0.936264i \(-0.385741\pi\)
0.351296 + 0.936264i \(0.385741\pi\)
\(588\) −4.53312 19.6472i −0.186943 0.810235i
\(589\) 0.873784i 0.0360036i
\(590\) 6.62551 + 6.56416i 0.272768 + 0.270242i
\(591\) −34.9339 + 60.5073i −1.43699 + 2.48894i
\(592\) 8.14224 + 4.70093i 0.334644 + 0.193207i
\(593\) −17.0074 + 9.81923i −0.698411 + 0.403228i −0.806755 0.590886i \(-0.798778\pi\)
0.108345 + 0.994113i \(0.465445\pi\)
\(594\) −15.2450 + 15.7862i −0.625510 + 0.647716i
\(595\) −1.07651 9.07826i −0.0441326 0.372172i
\(596\) 0.391478i 0.0160356i
\(597\) 26.2347 15.1466i 1.07371 0.619909i
\(598\) 24.1078 41.7560i 0.985842 1.70753i
\(599\) −9.84488 + 17.0518i −0.402251 + 0.696719i −0.993997 0.109405i \(-0.965105\pi\)
0.591746 + 0.806124i \(0.298439\pi\)
\(600\) −12.5393 7.08487i −0.511914 0.289238i
\(601\) −12.1124 −0.494076 −0.247038 0.969006i \(-0.579457\pi\)
−0.247038 + 0.969006i \(0.579457\pi\)
\(602\) 0.743533 0.292828i 0.0303041 0.0119348i
\(603\) 51.3381i 2.09065i
\(604\) 2.34480 1.35377i 0.0954088 0.0550843i
\(605\) 5.42221 23.9917i 0.220444 0.975400i
\(606\) −14.7385 + 25.5279i −0.598711 + 1.03700i
\(607\) −24.9376 + 14.3977i −1.01219 + 0.584386i −0.911831 0.410566i \(-0.865331\pi\)
−0.100355 + 0.994952i \(0.531998\pi\)
\(608\) 0.891058 0.0361372
\(609\) −13.2840 + 16.6980i −0.538297 + 0.676638i
\(610\) −0.267272 0.979234i −0.0108215 0.0396480i
\(611\) −61.4701 + 35.4898i −2.48681 + 1.43576i
\(612\) 7.08881 + 4.09273i 0.286548 + 0.165439i
\(613\) 18.5998 32.2158i 0.751240 1.30119i −0.195983 0.980607i \(-0.562790\pi\)
0.947222 0.320578i \(-0.103877\pi\)
\(614\) 23.7861 13.7329i 0.959930 0.554216i
\(615\) −13.6266 49.9254i −0.549479 2.01319i
\(616\) −8.69999 + 1.14466i −0.350532 + 0.0461195i
\(617\) 3.41654i 0.137545i 0.997632 + 0.0687724i \(0.0219082\pi\)
−0.997632 + 0.0687724i \(0.978092\pi\)
\(618\) −2.98364 5.16782i −0.120020 0.207880i
\(619\) −23.5560 13.6001i −0.946796 0.546633i −0.0547120 0.998502i \(-0.517424\pi\)
−0.892084 + 0.451869i \(0.850757\pi\)
\(620\) 0.557661 2.12062i 0.0223962 0.0851662i
\(621\) −40.8531 + 23.5866i −1.63938 + 0.946496i
\(622\) 13.3499i 0.535282i
\(623\) 7.65260 + 19.4311i 0.306595 + 0.778490i
\(624\) 19.4810i 0.779864i
\(625\) −24.9957 + 0.465054i −0.999827 + 0.0186022i
\(626\) −14.1347 + 24.4821i −0.564937 + 0.978500i
\(627\) −2.34630 8.18295i −0.0937022 0.326796i
\(628\) 3.34433 + 5.79255i 0.133453 + 0.231148i
\(629\) −14.5283 −0.579281
\(630\) 31.1203 3.69028i 1.23986 0.147024i
\(631\) −7.01999 −0.279462 −0.139731 0.990190i \(-0.544624\pi\)
−0.139731 + 0.990190i \(0.544624\pi\)
\(632\) 7.09357 4.09547i 0.282167 0.162909i
\(633\) 17.5929 + 10.1573i 0.699254 + 0.403715i
\(634\) −20.4874 11.8284i −0.813658 0.469766i
\(635\) 18.8012 18.9769i 0.746102 0.753074i
\(636\) 16.2684i 0.645084i
\(637\) 13.8475 45.2713i 0.548658 1.79372i
\(638\) 6.67967 + 6.45066i 0.264451 + 0.255384i
\(639\) 12.5187 + 21.6830i 0.495232 + 0.857767i
\(640\) 2.16254 + 0.568686i 0.0854821 + 0.0224793i
\(641\) 15.7071 27.2055i 0.620393 1.07455i −0.369020 0.929422i \(-0.620306\pi\)
0.989413 0.145131i \(-0.0463602\pi\)
\(642\) −23.4419 40.6026i −0.925179 1.60246i
\(643\) 10.1418 0.399953 0.199976 0.979801i \(-0.435913\pi\)
0.199976 + 0.979801i \(0.435913\pi\)
\(644\) −18.6547 2.78925i −0.735100 0.109912i
\(645\) 0.512243 + 1.87676i 0.0201696 + 0.0738973i
\(646\) −1.19244 + 0.688457i −0.0469160 + 0.0270870i
\(647\) −5.00464 + 8.66829i −0.196753 + 0.340786i −0.947474 0.319834i \(-0.896373\pi\)
0.750721 + 0.660619i \(0.229706\pi\)
\(648\) −1.58417 + 2.74386i −0.0622319 + 0.107789i
\(649\) −3.34683 + 13.4226i −0.131375 + 0.526884i
\(650\) −17.1795 29.1266i −0.673834 1.14244i
\(651\) 2.73850 + 6.95346i 0.107330 + 0.272528i
\(652\) 15.3911i 0.602760i
\(653\) −8.60496 + 4.96807i −0.336738 + 0.194416i −0.658829 0.752293i \(-0.728948\pi\)
0.322091 + 0.946709i \(0.395614\pi\)
\(654\) 35.5981 + 20.5525i 1.39199 + 0.803668i
\(655\) 10.7700 + 2.83219i 0.420818 + 0.110663i
\(656\) 4.01739 + 6.95833i 0.156853 + 0.271677i
\(657\) 17.1364i 0.668555i
\(658\) 21.7298 + 17.2871i 0.847117 + 0.673920i
\(659\) 16.9698i 0.661050i 0.943797 + 0.330525i \(0.107226\pi\)
−0.943797 + 0.330525i \(0.892774\pi\)
\(660\) −0.471858 21.3570i −0.0183670 0.831319i
\(661\) 20.0753 + 11.5905i 0.780840 + 0.450818i 0.836728 0.547619i \(-0.184466\pi\)
−0.0558878 + 0.998437i \(0.517799\pi\)
\(662\) −7.28149 + 12.6119i −0.283003 + 0.490176i
\(663\) 15.0516 + 26.0701i 0.584555 + 1.01248i
\(664\) 4.01538i 0.155827i
\(665\) −2.07985 + 4.84393i −0.0806532 + 0.187839i
\(666\) 49.8030i 1.92983i
\(667\) 9.98026 + 17.2863i 0.386437 + 0.669329i
\(668\) 2.31575 + 1.33700i 0.0895990 + 0.0517300i
\(669\) −21.4112 + 37.0853i −0.827805 + 1.43380i
\(670\) −15.3949 15.2524i −0.594759 0.589252i
\(671\) 1.04587 1.08300i 0.0403754 0.0418088i
\(672\) −7.09092 + 2.79264i −0.273538 + 0.107728i
\(673\) 21.1462 0.815127 0.407564 0.913177i \(-0.366378\pi\)
0.407564 + 0.913177i \(0.366378\pi\)
\(674\) −9.95115 17.2359i −0.383304 0.663902i
\(675\) 0.307734 + 33.0830i 0.0118447 + 1.27336i
\(676\) 16.3699 28.3534i 0.629610 1.09052i
\(677\) −25.4368 + 14.6859i −0.977614 + 0.564426i −0.901549 0.432677i \(-0.857569\pi\)
−0.0760650 + 0.997103i \(0.524236\pi\)
\(678\) 8.44643i 0.324383i
\(679\) −7.49205 + 50.1074i −0.287519 + 1.92295i
\(680\) −3.33337 + 0.909810i −0.127829 + 0.0348896i
\(681\) 17.9512 10.3642i 0.687893 0.397155i
\(682\) 3.12635 0.896420i 0.119714 0.0343257i
\(683\) −26.0105 15.0172i −0.995266 0.574617i −0.0884218 0.996083i \(-0.528182\pi\)
−0.906844 + 0.421466i \(0.861516\pi\)
\(684\) −2.36003 4.08770i −0.0902381 0.156297i
\(685\) −24.8820 + 6.79128i −0.950690 + 0.259482i
\(686\) −18.4635 + 1.44936i −0.704938 + 0.0553366i
\(687\) 22.3674i 0.853369i
\(688\) −0.151019 0.261573i −0.00575755 0.00997236i
\(689\) −19.0984 + 33.0794i −0.727591 + 1.26022i
\(690\) 11.6783 44.4090i 0.444583 1.69062i
\(691\) −1.98906 + 1.14838i −0.0756673 + 0.0436865i −0.537356 0.843355i \(-0.680577\pi\)
0.461689 + 0.887042i \(0.347244\pi\)
\(692\) 21.1150i 0.802671i
\(693\) 28.2936 + 36.8792i 1.07479 + 1.40092i
\(694\) −16.8885 −0.641079
\(695\) 0.271219 0.273754i 0.0102879 0.0103841i
\(696\) 6.98434 + 4.03241i 0.264741 + 0.152848i
\(697\) −10.7524 6.20791i −0.407277 0.235141i
\(698\) −14.5047 25.1228i −0.549010 0.950913i
\(699\) 8.32303 0.314806
\(700\) −8.13914 + 10.4285i −0.307631 + 0.394162i
\(701\) 38.2267i 1.44380i −0.691995 0.721902i \(-0.743268\pi\)
0.691995 0.721902i \(-0.256732\pi\)
\(702\) −38.7553 + 22.3754i −1.46272 + 0.844504i
\(703\) 7.25521 + 4.18880i 0.273635 + 0.157983i
\(704\) 0.914142 + 3.18816i 0.0344530 + 0.120158i
\(705\) −47.5764 + 48.0210i −1.79183 + 1.80857i
\(706\) −13.9830 −0.526255
\(707\) 21.1880 + 16.8560i 0.796856 + 0.633935i
\(708\) 12.0144i 0.451530i
\(709\) 13.5481 + 23.4660i 0.508810 + 0.881285i 0.999948 + 0.0102029i \(0.00324772\pi\)
−0.491138 + 0.871082i \(0.663419\pi\)
\(710\) −10.2214 2.68794i −0.383604 0.100876i
\(711\) −37.5757 21.6943i −1.40920 0.813601i
\(712\) 6.83580 3.94665i 0.256183 0.147907i
\(713\) 6.99100 0.261815
\(714\) 7.33163 9.21585i 0.274379 0.344895i
\(715\) 24.1127 43.9802i 0.901765 1.64477i
\(716\) 4.39977 + 7.62063i 0.164427 + 0.284796i
\(717\) 53.6474 + 30.9733i 2.00350 + 1.15672i
\(718\) −22.9522 13.2514i −0.856567 0.494539i
\(719\) −16.7058 + 9.64509i −0.623021 + 0.359701i −0.778044 0.628210i \(-0.783788\pi\)
0.155024 + 0.987911i \(0.450455\pi\)
\(720\) −3.11883 11.4268i −0.116232 0.425852i
\(721\) −5.09977 + 2.00846i −0.189925 + 0.0747989i
\(722\) −18.2060 −0.677558
\(723\) 30.1665 + 52.2500i 1.12191 + 1.94320i
\(724\) −4.59666 2.65388i −0.170833 0.0986307i
\(725\) 13.9985 0.130212i 0.519891 0.00483597i
\(726\) 26.8711 16.7899i 0.997279 0.623131i
\(727\) 2.36203 0.0876029 0.0438015 0.999040i \(-0.486053\pi\)
0.0438015 + 0.999040i \(0.486053\pi\)
\(728\) −17.6968 2.64602i −0.655887 0.0980681i
\(729\) −40.3962 −1.49616
\(730\) 5.13876 + 5.09118i 0.190194 + 0.188433i
\(731\) 0.404197 + 0.233363i 0.0149498 + 0.00863125i
\(732\) 0.653790 1.13240i 0.0241648 0.0418546i
\(733\) 12.5500 7.24574i 0.463544 0.267627i −0.249989 0.968249i \(-0.580427\pi\)
0.713533 + 0.700621i \(0.247094\pi\)
\(734\) −28.1164 −1.03779
\(735\) 1.36999 45.0658i 0.0505328 1.66228i
\(736\) 7.12921i 0.262786i
\(737\) 7.77666 31.1887i 0.286457 1.14885i
\(738\) 21.2807 36.8593i 0.783355 1.35681i
\(739\) 4.01288 + 2.31684i 0.147616 + 0.0852262i 0.571989 0.820261i \(-0.306172\pi\)
−0.424373 + 0.905488i \(0.639505\pi\)
\(740\) 14.9346 + 14.7963i 0.549007 + 0.543924i
\(741\) 17.3587i 0.637688i
\(742\) 14.7784 + 2.20967i 0.542533 + 0.0811194i
\(743\) 30.3368 1.11295 0.556475 0.830864i \(-0.312153\pi\)
0.556475 + 0.830864i \(0.312153\pi\)
\(744\) 2.44621 1.41232i 0.0896823 0.0517781i
\(745\) 0.222628 0.846588i 0.00815645 0.0310166i
\(746\) −7.76959 + 13.4573i −0.284465 + 0.492707i
\(747\) 18.4204 10.6350i 0.673968 0.389116i
\(748\) −3.68660 3.56020i −0.134795 0.130174i
\(749\) −40.0680 + 15.7801i −1.46405 + 0.576591i
\(750\) −23.0877 22.4522i −0.843043 0.819840i
\(751\) 10.1668 + 17.6094i 0.370992 + 0.642577i 0.989718 0.143030i \(-0.0456844\pi\)
−0.618727 + 0.785606i \(0.712351\pi\)
\(752\) 5.24754 9.08901i 0.191358 0.331442i
\(753\) 28.9342 + 16.7052i 1.05442 + 0.608770i
\(754\) 9.46776 + 16.3986i 0.344796 + 0.597203i
\(755\) 5.84062 1.59414i 0.212562 0.0580166i
\(756\) 13.7001 + 10.8991i 0.498268 + 0.396395i
\(757\) 30.7879i 1.11901i 0.828828 + 0.559503i \(0.189008\pi\)
−0.828828 + 0.559503i \(0.810992\pi\)
\(758\) 11.4667 + 19.8609i 0.416488 + 0.721379i
\(759\) 65.4704 18.7724i 2.37643 0.681394i
\(760\) 1.92695 + 0.506732i 0.0698979 + 0.0183811i
\(761\) −19.2459 33.3348i −0.697662 1.20839i −0.969275 0.245979i \(-0.920891\pi\)
0.271614 0.962406i \(-0.412443\pi\)
\(762\) 34.4119 1.24661
\(763\) 23.5053 29.5462i 0.850951 1.06964i
\(764\) 7.90304 0.285922
\(765\) 13.0024 + 12.8820i 0.470103 + 0.465750i
\(766\) 14.9019 25.8109i 0.538428 0.932585i
\(767\) −14.1044 + 24.4296i −0.509281 + 0.882101i
\(768\) 1.44024 + 2.49457i 0.0519701 + 0.0900149i
\(769\) −29.6119 −1.06783 −0.533916 0.845537i \(-0.679280\pi\)
−0.533916 + 0.845537i \(0.679280\pi\)
\(770\) −19.4651 2.47219i −0.701472 0.0890914i
\(771\) 30.1988 1.08758
\(772\) 7.13707 + 12.3618i 0.256869 + 0.444910i
\(773\) 18.4694 31.9899i 0.664297 1.15060i −0.315179 0.949032i \(-0.602064\pi\)
0.979475 0.201563i \(-0.0646022\pi\)
\(774\) −0.799970 + 1.38559i −0.0287543