Properties

Label 770.2.o.b.549.3
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 549.3
Character \(\chi\) \(=\) 770.549
Dual form 770.2.o.b.439.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(-1.44024 + 2.49457i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-2.16254 + 0.568686i) q^{5} -2.88048 q^{6} +(0.391243 - 2.61666i) q^{7} -1.00000 q^{8} +(-2.64857 - 4.58746i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(-1.44024 + 2.49457i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-2.16254 + 0.568686i) q^{5} -2.88048 q^{6} +(0.391243 - 2.61666i) q^{7} -1.00000 q^{8} +(-2.64857 - 4.58746i) q^{9} +(-1.57377 - 1.58848i) 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} +(4.35319 - 2.45962i) q^{25} +(5.85703 - 3.38156i) q^{26} +6.61688 q^{27} +(2.07048 + 1.64716i) q^{28} +2.79982i q^{29} +(6.22916 - 1.63809i) q^{30} +(0.849237 + 0.490307i) q^{31} +(0.500000 - 0.866025i) q^{32} +(-9.26965 - 2.31132i) q^{33} -1.54526i q^{34} +(0.641979 + 5.88114i) q^{35} +5.29715 q^{36} +(8.14224 - 4.70093i) q^{37} +(0.445529 - 0.771679i) q^{38} +(16.8710 + 9.74050i) q^{39} +(2.16254 - 0.568686i) q^{40} -8.03479 q^{41} +(-1.12697 + 7.53724i) q^{42} -0.302038 q^{43} +(-3.21810 - 0.802409i) q^{44} +(8.33648 + 8.41439i) 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} +(-3.78993 - 6.37467i) q^{55} +(-0.391243 + 2.61666i) q^{56} +2.56667 q^{57} +(-2.42472 + 1.39991i) q^{58} +(3.61218 + 2.08549i) q^{59} +(4.53320 + 4.57557i) q^{60} +(-0.226973 - 0.393129i) q^{61} +0.980614i q^{62} +(-13.0401 + 5.13561i) q^{63} +1.00000 q^{64} +(3.84609 + 14.6255i) q^{65} +(-2.63316 - 9.18341i) q^{66} +(8.39321 + 4.84582i) q^{67} +(1.33823 - 0.772629i) q^{68} -20.5355i q^{69} +(-4.77223 + 3.49654i) q^{70} -4.72658 q^{71} +(2.64857 + 4.58746i) q^{72} +(-2.80161 - 1.61751i) q^{73} +(8.14224 + 4.70093i) q^{74} +(-0.133963 + 14.4018i) q^{75} +0.891058 q^{76} +(8.69999 - 1.14466i) q^{77} +19.4810i q^{78} +(7.09357 - 4.09547i) q^{79} +(1.57377 + 1.58848i) 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} +(1.40232 + 1.41542i) 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 \(0.479197\pi\)
−0.896831 + 0.442373i \(0.854137\pi\)
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −2.16254 + 0.568686i −0.967119 + 0.254324i
\(6\) −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
\(10\) −1.57377 1.58848i −0.497669 0.502320i
\(11\) 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 \(-0.612790\pi\)
0.346972 0.937875i \(-0.387210\pi\)
\(14\) 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 0.328858 0.944379i \(-0.393336\pi\)
−0.653427 + 0.756989i \(0.726669\pi\)
\(18\) 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 −0.978187 0.207727i \(-0.933393\pi\)
−0.309197 + 0.950998i \(0.600060\pi\)
\(24\) 1.44024 2.49457i 0.293987 0.509201i
\(25\) 4.35319 2.45962i 0.870639 0.491923i
\(26\) 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 \(0.916292\pi\)
\(30\) 6.22916 1.63809i 1.13728 0.299072i
\(31\) 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
\(35\) 0.641979 + 5.88114i 0.108514 + 0.994095i
\(36\) 5.29715 0.882858
\(37\) 8.14224 4.70093i 1.33858 0.772828i 0.351980 0.936007i \(-0.385508\pi\)
0.986596 + 0.163180i \(0.0521751\pi\)
\(38\) 0.445529 0.771679i 0.0722743 0.125183i
\(39\) 16.8710 + 9.74050i 2.70153 + 1.55973i
\(40\) 2.16254 0.568686i 0.341928 0.0899171i
\(41\) −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 \(-0.507331\pi\)
−0.0230302 + 0.999735i \(0.507331\pi\)
\(44\) −3.21810 0.802409i −0.485146 0.120968i
\(45\) 8.33648 + 8.41439i 1.24273 + 1.25434i
\(46\) −6.17407 3.56460i −0.910317 0.525572i
\(47\) −5.24754 9.08901i −0.765433 1.32577i −0.940017 0.341127i \(-0.889191\pi\)
0.174584 0.984642i \(-0.444142\pi\)
\(48\) 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 0.124927 0.992166i \(-0.460130\pi\)
−0.796778 + 0.604273i \(0.793464\pi\)
\(54\) 3.30844 + 5.73039i 0.450222 + 0.779807i
\(55\) −3.78993 6.37467i −0.511034 0.859560i
\(56\) −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 \(0.579144\pi\)
\(60\) 4.53320 + 4.57557i 0.585234 + 0.590703i
\(61\) −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
\(65\) 3.84609 + 14.6255i 0.477048 + 1.81407i
\(66\) −2.63316 9.18341i −0.324120 1.13040i
\(67\) 8.39321 + 4.84582i 1.02539 + 0.592012i 0.915662 0.401950i \(-0.131667\pi\)
0.109732 + 0.993961i \(0.465001\pi\)
\(68\) 1.33823 0.772629i 0.162285 0.0936950i
\(69\) 20.5355i 2.47219i
\(70\) −4.77223 + 3.49654i −0.570391 + 0.417917i
\(71\) −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 0.327006 0.945022i \(-0.393960\pi\)
−0.654910 + 0.755707i \(0.727294\pi\)
\(74\) 8.14224 + 4.70093i 0.946517 + 0.546472i
\(75\) −0.133963 + 14.4018i −0.0154688 + 1.66297i
\(76\) 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 \(0.180904\pi\)
\(80\) 1.57377 + 1.58848i 0.175953 + 0.177597i
\(81\) −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 \(-0.929273\pi\)
0.975416 0.220373i \(-0.0707274\pi\)
\(84\) −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
\(95\) 1.40232 + 1.41542i 0.143875 + 0.145219i
\(96\) 1.44024 + 2.49457i 0.146994 + 0.254601i
\(97\) −19.1494 −1.94432 −0.972162 0.234312i \(-0.924716\pi\)
−0.972162 + 0.234312i \(0.924716\pi\)
\(98\) −1.57374 6.82080i −0.158972 0.689005i
\(99\) 12.2044 12.6377i 1.22659 1.27013i
\(100\) −0.0465074 + 4.99978i −0.00465074 + 0.499978i
\(101\) 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 0.810472 0.585777i \(-0.199211\pi\)
−0.912534 + 0.409001i \(0.865877\pi\)
\(104\) 6.76312i 0.663178i
\(105\) −15.5955 6.86879i −1.52197 0.670326i
\(106\) 5.64781i 0.548564i
\(107\) −8.13821 14.0958i −0.786750 1.36269i −0.927948 0.372710i \(-0.878429\pi\)
0.141198 0.989981i \(-0.454905\pi\)
\(108\) −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 \(0.906175\pi\)
\(110\) 3.62566 6.46951i 0.345693 0.616844i
\(111\) 27.0818i 2.57049i
\(112\) −2.46172 + 0.969505i −0.232611 + 0.0916097i
\(113\) 2.93230i 0.275848i 0.990443 + 0.137924i \(0.0440429\pi\)
−0.990443 + 0.137924i \(0.955957\pi\)
\(114\) 1.28334 + 2.22280i 0.120195 + 0.208185i
\(115\) 11.3246 11.2197i 1.05602 1.04624i
\(116\) −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 \(-0.322175\pi\)
0.530044 + 0.847970i \(0.322175\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) 0.435007 0.753454i 0.0383002 0.0663379i
\(130\) −10.7430 + 10.6436i −0.942227 + 0.933503i
\(131\) −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
\(135\) −14.3093 + 3.76293i −1.23155 + 0.323861i
\(136\) 1.33823 + 0.772629i 0.114752 + 0.0662524i
\(137\) −9.98924 5.76729i −0.853439 0.492733i 0.00837103 0.999965i \(-0.497335\pi\)
−0.861810 + 0.507232i \(0.830669\pi\)
\(138\) 17.7843 10.2678i 1.51390 0.874050i
\(139\) −0.172337 −0.0146175 −0.00730873 0.999973i \(-0.502326\pi\)
−0.00730873 + 0.999973i \(0.502326\pi\)
\(140\) −5.41421 2.38460i −0.457584 0.201536i
\(141\) 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
\(145\) −1.59222 6.05474i −0.132227 0.502819i
\(146\) 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 \(0.338438\pi\)
\(150\) −12.5393 + 7.08487i −1.02383 + 0.578477i
\(151\) −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 −0.968061 0.250713i \(-0.919335\pi\)
0.701155 + 0.713009i \(0.252668\pi\)
\(158\) 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 −0.920967 0.389641i \(-0.872599\pi\)
−0.123044 + 0.992401i \(0.539266\pi\)
\(164\) 4.01739 6.95833i 0.313706 0.543354i
\(165\) 21.3604 0.273186i 1.66291 0.0212675i
\(166\) 3.47742 2.00769i 0.269900 0.155827i
\(167\) 2.67400i 0.206920i 0.994634 + 0.103460i \(0.0329914\pi\)
−0.994634 + 0.103460i \(0.967009\pi\)
\(168\) −5.96396 4.74460i −0.460129 0.366054i
\(169\) −32.7397 −2.51844
\(170\) 0.878766 + 3.34169i 0.0673983 + 0.256296i
\(171\) −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 −0.993344 0.115181i \(-0.963255\pi\)
−0.396922 + 0.917852i \(0.629922\pi\)
\(174\) 8.06482i 0.611393i
\(175\) −4.73283 12.3532i −0.357768 0.933810i
\(176\) 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 \(0.0600042\pi\)
\(180\) −11.4553 + 3.01241i −0.853829 + 0.224532i
\(181\) 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
\(185\) −14.9346 + 14.7963i −1.09801 + 1.08785i
\(186\) −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 \(0.338406\pi\)
−0.999873 + 0.0159362i \(0.994927\pi\)
\(194\) −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 \(-0.167907\pi\)
0.864071 + 0.503369i \(0.167907\pi\)
\(198\) 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 \(0.545080\pi\)
\(200\) −4.35319 + 2.45962i −0.307817 + 0.173921i
\(201\) −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
\(205\) 17.3756 4.56927i 1.21356 0.319132i
\(206\) 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
\(210\) −1.84920 16.9405i −0.127607 1.16901i
\(211\) 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
\(215\) 0.653171 0.171765i 0.0445459 0.0117143i
\(216\) −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
\(220\) 7.41559 0.0948404i 0.499959 0.00639414i
\(221\) −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 \(-0.334154\pi\)
0.497765 + 0.867312i \(0.334154\pi\)
\(224\) −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 0.278715 0.960374i \(-0.410091\pi\)
−0.692350 + 0.721562i \(0.743425\pi\)
\(228\) −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 0.814814 0.579723i \(-0.196839\pi\)
−0.909461 + 0.415788i \(0.863506\pi\)
\(234\) −31.0256 17.9126i −2.02820 1.17098i
\(235\) 16.5168 + 16.6712i 1.07744 + 1.08751i
\(236\) −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 \(0.755164\pi\)
\(240\) −6.22916 + 1.63809i −0.402090 + 0.105738i
\(241\) −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
\(245\) 15.6401 + 0.621115i 0.999212 + 0.0396816i
\(246\) 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
\(250\) −10.7580 3.04408i −0.680393 0.192524i
\(251\) 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
\(255\) −7.07043 + 7.00497i −0.442767 + 0.438668i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −5.24197 9.07936i −0.326985 0.566355i 0.654927 0.755692i \(-0.272699\pi\)
−0.981912 + 0.189337i \(0.939366\pi\)
\(258\) 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 \(0.338552\pi\)
−0.999866 + 0.0163943i \(0.994781\pi\)
\(264\) 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 \(0.628491\pi\)
\(270\) −10.4134 10.5108i −0.633742 0.639664i
\(271\) −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
\(275\) 11.8211 + 11.6302i 0.712838 + 0.701329i
\(276\) 17.7843 + 10.2678i 1.07049 + 0.618046i
\(277\) 14.4256 24.9858i 0.866748 1.50125i 0.00144636 0.999999i \(-0.499540\pi\)
0.865301 0.501252i \(-0.167127\pi\)
\(278\) −0.0861686 0.149248i −0.00516805 0.00895133i
\(279\) 5.19446i 0.310984i
\(280\) −0.641979 5.88114i −0.0383656 0.351466i
\(281\) 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 \(0.0198612\pi\)
0.553028 + 0.833162i \(0.313472\pi\)
\(284\) 2.36329 4.09334i 0.140235 0.242895i
\(285\) −5.55054 + 1.45963i −0.328786 + 0.0864610i
\(286\) 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
\(290\) 4.44745 4.40627i 0.261163 0.258745i
\(291\) 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 \(-0.972565\pi\)
0.996288 0.0860827i \(-0.0274349\pi\)
\(294\) 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
\(305\) 0.714406 + 0.721082i 0.0409067 + 0.0412890i
\(306\) −7.08881 + 4.09273i −0.405241 + 0.233966i
\(307\) 27.4659i 1.56756i −0.621039 0.783780i \(-0.713289\pi\)
0.621039 0.783780i \(-0.286711\pi\)
\(308\) −3.35869 + 8.10674i −0.191379 + 0.461924i
\(309\) 5.96728 0.339467
\(310\) −0.557661 2.12062i −0.0316730 0.120443i
\(311\) −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 \(0.127940\pi\)
−0.121364 + 0.992608i \(0.538727\pi\)
\(314\) −6.68866 −0.377463
\(315\) 25.2792 18.5217i 1.42432 1.04358i
\(316\) 8.19094i 0.460777i
\(317\) −20.4874 + 11.8284i −1.15069 + 0.664349i −0.949054 0.315112i \(-0.897958\pi\)
−0.201632 + 0.979461i \(0.564624\pi\)
\(318\) 14.0888 + 8.13419i 0.790063 + 0.456143i
\(319\) −8.92627 + 2.55943i −0.499775 + 0.143301i
\(320\) −2.16254 + 0.568686i −0.120890 + 0.0317905i
\(321\) 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
\(325\) −16.6347 29.4411i −0.922725 1.63310i
\(326\) −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
\(330\) 10.9168 + 18.3621i 0.600950 + 1.01080i
\(331\) −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 \(-0.682361\pi\)
−0.542074 + 0.840331i \(0.682361\pi\)
\(338\) −16.3699 28.3534i −0.890403 1.54222i
\(339\) −7.31482 4.22321i −0.397286 0.229373i
\(340\) −2.45460 + 2.43188i −0.133120 + 0.131887i
\(341\) −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
\(345\) 11.6783 + 44.4090i 0.628736 + 2.39090i
\(346\) −18.2861 10.5575i −0.983067 0.567574i
\(347\) −8.44426 + 14.6259i −0.453312 + 0.785159i −0.998589 0.0530967i \(-0.983091\pi\)
0.545278 + 0.838255i \(0.316424\pi\)
\(348\) 6.98434 4.03241i 0.374400 0.216160i
\(349\) 29.0093 1.55283 0.776417 0.630219i \(-0.217035\pi\)
0.776417 + 0.630219i \(0.217035\pi\)
\(350\) 8.33173 10.2753i 0.445350 0.549239i
\(351\) 44.7507i 2.38862i
\(352\) 3.21810 + 0.802409i 0.171525 + 0.0427685i
\(353\) −6.99148 + 12.1096i −0.372119 + 0.644528i −0.989891 0.141828i \(-0.954702\pi\)
0.617773 + 0.786357i \(0.288035\pi\)
\(354\) −10.4048 6.00721i −0.553009 0.319280i
\(355\) 10.2214 2.68794i 0.542497 0.142661i
\(356\) 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 \(0.0867911\pi\)
\(360\) −8.33648 8.41439i −0.439371 0.443477i
\(361\) 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 \(0.428937\pi\)
−0.955234 + 0.295851i \(0.904397\pi\)
\(368\) 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 0.994002 0.109359i \(-0.0348797\pi\)
−0.591708 + 0.806152i \(0.701546\pi\)
\(374\) 4.92652 1.41258i 0.254744 0.0730430i
\(375\) −7.90037 31.2206i −0.407973 1.61223i
\(376\) 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 \(0.700480\pi\)
\(380\) −1.92695 + 0.506732i −0.0988505 + 0.0259948i
\(381\) −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 \(-0.891153\pi\)
0.180649 0.983548i \(-0.442180\pi\)
\(384\) −2.88048 −0.146994
\(385\) −18.1632 + 7.42293i −0.925680 + 0.378307i
\(386\) −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 \(-0.0166785\pi\)
\(390\) −11.0786 42.1285i −0.560985 2.13326i
\(391\) 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
\(395\) −13.0111 + 12.8906i −0.654660 + 0.648599i
\(396\) 4.84234 + 16.8881i 0.243337 + 0.848661i
\(397\) −16.2517 28.1488i −0.815652 1.41275i −0.908859 0.417103i \(-0.863045\pi\)
0.0932073 0.995647i \(-0.470288\pi\)
\(398\) 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 \(0.322992\pi\)
\(410\) 12.6449 + 12.7631i 0.624487 + 0.630323i
\(411\) 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
\(415\) 2.28349 + 8.68344i 0.112092 + 0.426253i
\(416\) −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 \(0.841982\pi\)
\(420\) 13.7463 10.0717i 0.670751 0.491449i
\(421\) 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
\(425\) −7.72595 0.0718659i −0.374764 0.00348601i
\(426\) 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
\(430\) 0.475338 + 0.479780i 0.0229228 + 0.0231370i
\(431\) −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 \(-0.639655\pi\)
−0.424799 + 0.905287i \(0.639655\pi\)
\(434\) 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 \(0.892760\pi\)
\(440\) 3.78993 + 6.37467i 0.180678 + 0.303901i
\(441\) 8.33633 + 36.1308i 0.396968 + 1.72051i
\(442\) −10.4508 −0.497092
\(443\) 26.6196 15.3688i 1.26473 0.730195i 0.290747 0.956800i \(-0.406096\pi\)
0.973987 + 0.226605i \(0.0727627\pi\)
\(444\) −23.4535 13.5409i −1.11306 0.642623i
\(445\) −12.5383 + 12.4222i −0.594373 + 0.588870i
\(446\) 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 \(0.437957\pi\)
\(450\) 0.246357 26.4846i 0.0116134 1.24850i
\(451\) −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
\(455\) 39.7749 4.34178i 1.86467 0.203546i
\(456\) −2.56667 −0.120195
\(457\) 8.43227 + 14.6051i 0.394445 + 0.683199i 0.993030 0.117861i \(-0.0376036\pi\)
−0.598585 + 0.801059i \(0.704270\pi\)
\(458\) −6.72483 3.88258i −0.314231 0.181421i
\(459\) −8.85493 5.11239i −0.413313 0.238626i
\(460\) 4.05428 + 15.4172i 0.189032 + 0.718832i
\(461\) 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 \(0.0494842\pi\)
−0.987941 + 0.154834i \(0.950516\pi\)
\(464\) 2.42472 1.39991i 0.112565 0.0649892i
\(465\) 4.48687 4.44532i 0.208073 0.206147i
\(466\) 1.44473 2.50235i 0.0669259 0.115919i
\(467\) −4.29559 7.44018i −0.198776 0.344290i 0.749356 0.662168i \(-0.230363\pi\)
−0.948132 + 0.317877i \(0.897030\pi\)
\(468\) 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 \(0.0292511\pi\)
\(480\) −4.53320 4.57557i −0.206911 0.208845i
\(481\) −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
\(485\) 41.4113 10.8900i 1.88039 0.494488i
\(486\) −5.36217 + 9.28755i −0.243233 + 0.421292i
\(487\) 16.3775 + 9.45553i 0.742133 + 0.428471i 0.822844 0.568267i \(-0.192386\pi\)
−0.0807111 + 0.996738i \(0.525719\pi\)
\(488\) 0.226973 + 0.393129i 0.0102746 + 0.0177961i
\(489\) 44.3336i 2.00483i
\(490\) 7.28217 + 13.8553i 0.328975 + 0.625920i
\(491\) 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
\(495\) −19.2057 + 34.2700i −0.863231 + 1.54032i
\(496\) 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 \(0.668668\pi\)
\(500\) −2.74273 10.8387i −0.122659 0.484721i
\(501\) −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 \(-0.957793\pi\)
0.991222 0.132208i \(-0.0422065\pi\)
\(504\) 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
\(515\) 3.26027 + 3.29073i 0.143665 + 0.145007i
\(516\) 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
\(520\) −3.84609 14.6255i −0.168662 0.641372i
\(521\) 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 −0.923762 0.382968i \(-0.874902\pi\)
−0.130221 + 0.991485i \(0.541569\pi\)
\(524\) 4.98024 0.217563
\(525\) 37.6322 + 5.98513i 1.64240 + 0.261212i
\(526\) −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
\(530\) 3.21183 + 12.2136i 0.139513 + 0.530527i
\(531\) 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
\(535\) 25.6153 + 25.8547i 1.10745 + 1.11780i
\(536\) −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 \(-0.765650\pi\)
−0.741003 + 0.671501i \(0.765650\pi\)
\(548\) 9.98924 5.76729i 0.426719 0.246366i
\(549\) −1.20231 + 2.08246i −0.0513133 + 0.0888773i
\(550\) −4.16154 + 16.0525i −0.177448 + 0.684479i
\(551\) 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
\(555\) −15.4010 58.5656i −0.653738 2.48597i
\(556\) 0.0861686 0.149248i 0.00365436 0.00632955i
\(557\) −9.14129 + 15.8332i −0.387329 + 0.670873i −0.992089 0.125534i \(-0.959936\pi\)
0.604760 + 0.796407i \(0.293269\pi\)
\(558\) 4.49853 2.59723i 0.190438 0.109950i
\(559\) 2.04272i 0.0863978i
\(560\) 4.77223 3.49654i 0.201664 0.147756i
\(561\) 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 0.631896 0.775053i \(-0.282277\pi\)
−0.355267 + 0.934765i \(0.615610\pi\)
\(564\) −15.1154 + 26.1807i −0.636475 + 1.10241i
\(565\) −1.66756 6.34123i −0.0701547 0.266778i
\(566\) 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 \(0.232884\pi\)
\(570\) −4.03935 4.07709i −0.169190 0.170771i
\(571\) 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 −0.897859 0.440282i \(-0.854878\pi\)
0.830225 + 0.557428i \(0.188212\pi\)
\(578\) 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
\(585\) 56.9075 56.3806i 2.35283 2.33105i
\(586\) 2.55217 1.47350i 0.105429 0.0608696i
\(587\) −17.0225 −0.702593 −0.351296 0.936264i \(-0.614259\pi\)
−0.351296 + 0.936264i \(0.614259\pi\)
\(588\) 4.53312 + 19.6472i 0.186943 + 0.810235i
\(589\) 0.873784i 0.0360036i
\(590\) −2.37198 9.01994i −0.0976528 0.371345i
\(591\) −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 −0.108345 0.994113i \(-0.534555\pi\)
0.806755 + 0.590886i \(0.201222\pi\)
\(594\) −15.2450 + 15.7862i −0.625510 + 0.647716i
\(595\) 3.68483 8.36635i 0.151063 0.342987i
\(596\) 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 \(0.298439\pi\)
\(600\) 0.133963 14.4018i 0.00546904 0.587949i
\(601\) −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
\(605\) 16.8589 17.9102i 0.685413 0.728155i
\(606\) −14.7385 + 25.5279i −0.598711 + 1.03700i
\(607\) 24.9376 14.3977i 1.01219 0.584386i 0.100355 0.994952i \(-0.468002\pi\)
0.911831 + 0.410566i \(0.134669\pi\)
\(608\) −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 \(0.437210\pi\)
−0.947222 + 0.320578i \(0.896123\pi\)
\(614\) 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 \(-0.978092\pi\)
0.997632 0.0687724i \(-0.0219082\pi\)
\(618\) 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 \(0.850757\pi\)
\(620\) 1.55768 1.54326i 0.0625580 0.0619788i
\(621\) −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
\(625\) 12.9006 21.4144i 0.516023 0.856574i
\(626\) −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
\(630\) 28.6799 + 12.6316i 1.14263 + 0.503255i
\(631\) −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
\(635\) −25.8350 + 6.79385i −1.02523 + 0.269606i
\(636\) 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
\(640\) −1.57377 1.58848i −0.0622086 0.0627900i
\(641\) 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 \(-0.564087\pi\)
−0.199976 + 0.979801i \(0.564087\pi\)
\(644\) −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 −0.750721 0.660619i \(-0.770294\pi\)
0.947474 + 0.319834i \(0.103627\pi\)
\(648\) 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 −0.322091 0.946709i \(-0.604386\pi\)
0.658829 + 0.752293i \(0.271052\pi\)
\(654\) 35.5981 + 20.5525i 1.39199 + 0.803668i
\(655\) 7.83774 + 7.91099i 0.306246 + 0.309108i
\(656\) 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 \(0.892774\pi\)
\(660\) −10.4436 + 18.6353i −0.406518 + 0.725377i
\(661\) 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
\(665\) 4.25233 3.11562i 0.164898 0.120819i
\(666\) 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
\(670\) −5.51150 20.9586i −0.212928 0.809702i
\(671\) 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 \(-0.633622\pi\)
−0.407564 + 0.913177i \(0.633622\pi\)
\(674\) −9.95115 17.2359i −0.383304 0.663902i
\(675\) 28.8046 16.2750i 1.10869 0.626424i
\(676\) 16.3699 28.3534i 0.629610 1.09052i
\(677\) 25.4368 14.6859i 0.977614 0.564426i 0.0760650 0.997103i \(-0.475764\pi\)
0.901549 + 0.432677i \(0.142431\pi\)
\(678\) 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 0.906844 0.421466i \(-0.138484\pi\)
0.0884218 + 0.996083i \(0.471818\pi\)
\(684\) −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
\(690\) −32.6202 + 32.3181i −1.24183 + 1.23033i
\(691\) −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
\(695\) 0.372687 0.0980057i 0.0141368 0.00371757i
\(696\) 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
\(700\) 13.0646 + 2.07782i 0.493794 + 0.0785344i
\(701\) 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
\(705\) −65.3756 + 17.1919i −2.46219 + 0.647483i
\(706\) −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 \(0.663419\pi\)
\(710\) 7.43854 + 7.50805i 0.279163 + 0.281772i
\(711\) −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
\(715\) −43.1126 + 25.6317i −1.61232 + 0.958573i
\(716\) 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
\(725\) 6.88649 + 12.1882i 0.255758 + 0.452657i
\(726\) 26.8711 16.7899i 0.997279 0.623131i
\(727\) −2.36203 −0.0876029 −0.0438015 0.999040i \(-0.513947\pi\)
−0.0438015 + 0.999040i \(0.513947\pi\)
\(728\) 17.6968 + 2.64602i 0.655887 + 0.0980681i
\(729\) −40.3962 −1.49616
\(730\) 1.83971 + 6.99588i 0.0680908 + 0.258929i
\(731\) 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 −0.713533 0.700621i \(-0.752906\pi\)
0.249989 + 0.968249i \(0.419573\pi\)
\(734\) −28.1164 −1.03779
\(735\) −24.0750 + 38.1208i −0.888018 + 1.40611i
\(736\) 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 \(0.639505\pi\)
\(740\) −5.34670 20.3319i −0.196549 0.747416i
\(741\) 17.3587i 0.637688i
\(742\) −14.7784 2.20967i −0.542533 0.0811194i
\(743\) −30.3368 −1.11295 −0.556475 0.830864i \(-0.687847\pi\)
−0.556475 + 0.830864i \(0.687847\pi\)
\(744\) 2.44621 1.41232i 0.0896823 0.0517781i
\(745\) 0.621853 0.616095i 0.0227829 0.0225720i
\(746\) −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 \(-0.810992\pi\)
0.828828 0.559503i \(-0.189008\pi\)
\(758\) −11.4667 19.8609i −0.416488 0.721379i
\(759\) 65.4704 18.7724i 2.37643 0.681394i
\(760\) −1.40232 1.41542i −0.0508674 0.0513428i
\(761\) −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
\(765\) −4.65495 17.7014i −0.168300 0.639996i
\(766\) 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 \(0.679280\pi\)
\(770\) −15.5100 12.0183i −0.558942 0.433109i
\(771\) 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 \(0.397936\pi\)
−0.979475 + 0.201563i \(0.935398\pi\)
\(774\) −0.799970 + 1.38559i